%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV868-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n029.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 13:21:42 EDT 2022

% Result   : Unknown 242.85s 242.89s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV868-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 06:22:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 242.74/242.84  ----- Otter 3.3f, August 2004 -----
% 242.74/242.84  The process was started by sandbox on n029.cluster.edu,
% 242.74/242.84  Wed Jul 27 06:22:29 2022
% 242.74/242.84  The command was "./otter".  The process ID is 14693.
% 242.74/242.84  
% 242.74/242.84  set(prolog_style_variables).
% 242.74/242.84  set(auto).
% 242.74/242.84     dependent: set(auto1).
% 242.74/242.84     dependent: set(process_input).
% 242.74/242.84     dependent: clear(print_kept).
% 242.74/242.84     dependent: clear(print_new_demod).
% 242.74/242.84     dependent: clear(print_back_demod).
% 242.74/242.84     dependent: clear(print_back_sub).
% 242.74/242.84     dependent: set(control_memory).
% 242.74/242.84     dependent: assign(max_mem, 12000).
% 242.74/242.84     dependent: assign(pick_given_ratio, 4).
% 242.74/242.84     dependent: assign(stats_level, 1).
% 242.74/242.84     dependent: assign(max_seconds, 10800).
% 242.74/242.84  clear(print_given).
% 242.74/242.84  
% 242.74/242.84  list(usable).
% 242.74/242.84  0 [] A=A.
% 242.74/242.84  0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(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)).
% 242.74/242.84  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_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.84  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 242.74/242.84  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_lesse_quals(V_x,V_y,T_a).
% 242.74/242.84  0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z)=hAPP(V_f,V_z)|V_z=V_x.
% 242.74/242.84  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z)=hAPP(V_f,V_z)|V_z=V_x.
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.84  0 [] -c_lesse_quals(V_x,V_A,tc_fun(T_b,tc_bool))|c_lesse_quals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)).
% 242.74/242.84  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|V_a=V_b| -c_lesse_quals(V_b,V_a,T_a).
% 242.74/242.84  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_lesse_quals(V_b,V_a,T_a)|V_a=V_b.
% 242.74/242.84  0 [] c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))|V_A=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.84  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 242.74/242.84  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 242.74/242.84  0 [] V_A=V_B|c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.84  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)|V_a=V_b| -c_lesse_quals(V_a,V_b,T_a).
% 242.74/242.84  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a)|V_a=V_b.
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 242.74/242.84  0 [] c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)).
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  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)| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 242.74/242.84  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_lesse_quals(V_l,V_k,T_a).
% 242.74/242.84  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_lesse_quals(V_b,V_a,T_a).
% 242.74/242.84  0 [] c_Finite__Set_Ofold__graph(V_f,V_z,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_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)).
% 242.74/242.84  0 [] hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b))=c_Set_Oimage(V_f,V_A,T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 242.74/242.84  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,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)).
% 242.74/242.84  0 [] c_HOL_Oord__class_Oless(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.84  0 [] hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_b))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_b,V_d,T_a)|c_lesse_quals(V_b,V_a,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_c,V_a,T_a)|c_lesse_quals(V_b,V_a,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 242.74/242.84  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_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)).
% 242.74/242.84  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_c,V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_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)).
% 242.74/242.84  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_c,V_d,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)).
% 242.74/242.84  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))| -c_lesse_quals(V_c,V_d,T_a)|c_lesse_quals(V_a,V_b,T_a).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a))=c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a)| -c_lesse_quals(V_m,V_u,T_a)| -c_lesse_quals(V_l,V_m,T_a).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a))=c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)| -c_lesse_quals(V_m,V_u,T_a)| -c_lesse_quals(V_l,V_m,T_a).
% 242.74/242.84  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).
% 242.74/242.84  0 [] -class_OrderedGroup_Oab__group__add(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_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).
% 242.74/242.84  0 [] c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_y),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_b),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))),tc_fun(T_b,tc_bool)),T_b,T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 242.74/242.84  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)| -c_lesse_quals(V_i,V_n,T_a).
% 242.74/242.84  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).
% 242.74/242.84  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)).
% 242.74/242.84  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)).
% 242.74/242.84  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)).
% 242.74/242.84  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)).
% 242.74/242.84  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a).
% 242.74/242.84  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 242.74/242.84  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)).
% 242.74/242.84  0 [] c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m,V_x,V_y,T_a,tc_Option_Ooption(T_b)),V_D,T_a,T_b)=c_Map_Orestrict__map(V_m,V_D,T_a,T_b)|hBOOL(c_in(V_x,V_D,T_a)).
% 242.74/242.84  0 [] c_Map_Orestrict__map(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b)=c_Fun_Ofun__upd(c_Map_Orestrict__map(V_f,V_A,T_a,T_b),V_a,hAPP(V_f,V_a),T_a,tc_Option_Ooption(T_b)).
% 242.74/242.84  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.84  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_lesse_quals(V_y,V_x,T_a).
% 242.74/242.84  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 242.74/242.84  0 [] c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a)=c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a).
% 242.74/242.84  0 [] c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a)=c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a).
% 242.74/242.84  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_a,V_b,t_a,T_b),v_x)=c_HOL_OIf(hAPP(hAPP(c_fe_qual(t_a),v_x),V_a),V_b,hAPP(V_f,v_x),T_b).
% 242.74/242.84  0 [] c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a)=c_Set_Oimage(V_f,V_A,T_b,T_a)|hBOOL(c_in(V_x,V_A,T_b)).
% 242.74/242.84  0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a)=V_f.
% 242.74/242.84  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x)=V_y.
% 242.74/242.84  0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b)=V_f.
% 242.74/242.84  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x)=V_y.
% 242.74/242.84  0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a)=V_f.
% 242.74/242.84  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).
% 242.74/242.84  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 242.74/242.84  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 242.74/242.84  0 [] -class_HOL_Oord(T_b)|c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b))| -c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)).
% 242.74/242.84  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  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.
% 242.74/242.84  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).
% 242.74/242.84  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.
% 242.74/242.84  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))| -c_lesse_quals(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_c,V_a,T_a)| -c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_c,V_a,T_a).
% 242.74/242.84  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))| -c_lesse_quals(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_b,V_d,T_a)| -c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_c,V_a,T_a).
% 242.74/242.84  0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 242.74/242.84  0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 242.74/242.84  0 [] -class_HOL_Oord(T_b)|c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))|c_lesse_quals(V_g,V_f,tc_fun(T_a,T_b))| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 242.74/242.84  0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)).
% 242.74/242.84  0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 242.74/242.84  0 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b)=c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b).
% 242.74/242.84  0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a).
% 242.74/242.84  0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a).
% 242.74/242.84  0 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b)|V_a=V_c.
% 242.74/242.84  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 242.74/242.84  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 242.74/242.84  0 [] c_The(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=V_a.
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  0 [] c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a)=V_Y.
% 242.74/242.84  0 [] c_Finite__Set_Ofinite(V_B,T_b)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  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)).
% 242.74/242.84  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)).
% 242.74/242.84  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).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_x,T_a)|c_lesse_quals(V_x,V_x,T_a).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 242.74/242.84  0 [] -class_HOL_Oord(T_b)| -c_lesse_quals(V_g,V_f,tc_fun(T_a,T_b))| -c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)).
% 242.74/242.84  0 [] -class_Orderings_Opreorder(T_a)| -c_lesse_quals(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 242.74/242.84  0 [] c_Fun_Ocomp(V_f,c_Fun_Ofun__upd(V_g,V_x,V_y,T_a,T_c),T_c,T_b,T_a)=c_Fun_Ofun__upd(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_a),V_x,hAPP(V_f,V_y),T_a,T_b).
% 242.74/242.84  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).
% 242.74/242.84  0 [] c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a)=V_Y.
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  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)| -c_lesse_quals(V_a,V_b,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)).
% 242.74/242.84  0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 242.74/242.84  0 [] c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b)!=V_f|hAPP(V_f,V_x)=V_y.
% 242.74/242.84  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)).
% 242.74/242.84  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)).
% 242.74/242.84  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)).
% 242.74/242.84  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)).
% 242.74/242.84  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_HOL_Oord__class_Oless(V_x,V_a,T_a).
% 242.74/242.84  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_HOL_Oord__class_Oless(V_x,V_b,T_a).
% 242.74/242.84  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)).
% 242.74/242.84  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)).
% 242.74/242.84  0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 242.74/242.84  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).
% 242.74/242.84  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)).
% 242.74/242.84  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)).
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  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).
% 242.74/242.84  0 [] c_Set_Oimage(V_f,hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_B),T_b,T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f,V_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)).
% 242.74/242.84  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 242.74/242.84  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a).
% 242.74/242.84  0 [] -class_Ring__and__Field_Oring(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_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).
% 242.74/242.84  0 [] -class_OrderedGroup_Oab__group__add(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_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).
% 242.74/242.84  0 [] c_HOL_Oord__class_Oless(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.84  0 [] c_HOL_Oord__class_Oless(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))|hBOOL(c_in(V_x,V_B,T_a)).
% 242.74/242.84  0 [] c_lesse_quals(V_A,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,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a))=c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)| -c_lesse_quals(V_m,V_u,T_a)| -c_lesse_quals(V_l,V_m,T_a).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a))=c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)| -c_lesse_quals(V_m,V_u,T_a)| -c_lesse_quals(V_l,V_m,T_a).
% 242.74/242.84  0 [] c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 242.74/242.84  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)),V_B).
% 242.74/242.84  0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 242.74/242.84  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 242.74/242.85  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 242.74/242.85  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).
% 242.74/242.85  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).
% 242.74/242.85  0 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_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).
% 242.74/242.85  0 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,c_Option_Ooption_ONone(T_b),T_a,tc_Option_Ooption(T_b))=c_Map_Orestrict__map(V_m,V_D,T_a,T_b)|hBOOL(c_in(V_x,V_D,T_a)).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 242.74/242.85  0 [] c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2)| -c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)| -c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1).
% 242.74/242.85  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.
% 242.74/242.85  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.
% 242.74/242.85  0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_n,V_s2)| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_n,V_s2)| -c_Natural_Oevaln(V_c,V_s0,V_n,V_s1)| -hBOOL(hAPP(V_b,V_s0)).
% 242.74/242.85  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)).
% 242.74/242.85  0 [] c_COMBS(V_P,V_Q,V_R,T_b,T_c,T_a)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)).
% 242.74/242.85  0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 242.74/242.85  0 [] hAPP(c_COMBI(T_a),V_P)=V_P.
% 242.74/242.85  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).
% 242.74/242.85  0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 242.74/242.85  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 242.74/242.85  0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 242.74/242.85  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.
% 242.74/242.85  0 [] -hBOOL(hAPP(V_b,V_s))|c_Natural_Oevaln(V_c1,V_s,V_n,V_t)| -c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t).
% 242.74/242.85  0 [] c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1)| -c_Natural_Oevaln(V_c0,V_s,V_n,V_s1)| -hBOOL(hAPP(V_b,V_s)).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x)=V_x.
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 242.74/242.85  0 [] c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a)=V_g.
% 242.74/242.85  0 [] c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a)=V_f.
% 242.74/242.85  0 [] -class_Lattices_Olattice(T_b)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)).
% 242.74/242.85  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_s)|hBOOL(hAPP(V_b,V_s)).
% 242.74/242.85  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).
% 242.74/242.85  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_lesse_quals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)| -hBOOL(c_in(V_i,V_A,T_a)).
% 242.74/242.85  0 [] c_lesse_quals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_a,V_A,T_a)).
% 242.74/242.85  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 242.74/242.85  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 242.74/242.85  0 [] c_Collect(V_P,T_a)=V_P.
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a,T_a).
% 242.74/242.85  0 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,c_Option_Ooption_ONone(T_b),T_a,tc_Option_Ooption(T_b))=c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b)| -hBOOL(c_in(V_x,V_D,T_a)).
% 242.74/242.85  0 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b))=c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b))| -hBOOL(c_in(V_x,V_D,T_a)).
% 242.74/242.85  0 [] c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m,V_x,V_y,T_a,tc_Option_Ooption(T_b)),V_D,T_a,T_b)=c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b))| -hBOOL(c_in(V_x,V_D,T_a)).
% 242.74/242.85  0 [] c_HOL_Oord__class_Oless(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_B,T_a)).
% 242.74/242.85  0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a))=c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)| -c_lesse_quals(V_l,V_u,T_a).
% 242.74/242.85  0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)| -c_lesse_quals(V_l,V_u,T_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a).
% 242.74/242.85  0 [] hAPP(c_Map_Orestrict__map(V_m,V_A,t_a,T_b),v_x)=c_HOL_OIf(c_in(v_x,V_A,t_a),hAPP(V_m,v_x),c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b)).
% 242.74/242.85  0 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b))=c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b)).
% 242.74/242.85  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a)| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_M,V_N,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a)| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_M,V_N,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_HOL_Oord__class_Oless(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=hAPP(hAPP(c_Set_Oinsert(T_b),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))| -hBOOL(c_in(V_x,V_A,T_a)).
% 242.74/242.85  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,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_y,T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 242.74/242.85  0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))|hBOOL(c_in(V_x,V_B,T_a))| -c_HOL_Oord__class_Oless(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_HOL_Oord__class_Oless(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_B,T_a)).
% 242.74/242.85  0 [] c_HOL_Oord__class_Oless(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,tc_nat)=c_Finite__Set_Osetsum(V_f,V_A,T_a,tc_nat)|hBOOL(c_in(V_a,V_A,T_a)).
% 242.74/242.85  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,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_y,T_a,T_b).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 242.74/242.85  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 242.74/242.85  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 242.74/242.85  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_lesse_quals(V_B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 242.74/242.85  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 242.74/242.85  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 242.74/242.85  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)).
% 242.74/242.85  0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)).
% 242.74/242.85  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)).
% 242.74/242.85  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)).
% 242.74/242.85  0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  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)).
% 242.74/242.85  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 242.74/242.85  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 242.74/242.85  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 242.74/242.85  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)).
% 242.74/242.85  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)).
% 242.74/242.85  0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(c_Fun_Oid(T_b),V_c,T_b,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,V_v).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 242.74/242.85  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).
% 242.74/242.85  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))).
% 242.74/242.85  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).
% 242.74/242.85  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).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 242.74/242.85  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 242.74/242.85  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_fun=V_fun_H.
% 242.74/242.85  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_com=V_com_H.
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 242.74/242.85  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 242.74/242.85  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 242.74/242.85  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)).
% 242.74/242.85  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)).
% 242.74/242.85  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 242.74/242.85  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))|hBOOL(c_in(V_x,V_B,T_a)).
% 242.74/242.85  0 [] V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t).
% 242.74/242.85  0 [] hAPP(c_Fun_Oid(T_a),V_x)=V_x.
% 242.74/242.85  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] -class_HOL_Oord(T_b)|c_lesse_quals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OWhile(V_b,V_c),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OCond(V_b,V_c,V_d),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),V_d,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 242.74/242.85  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=V_x.
% 242.74/242.85  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=V_x.
% 242.74/242.85  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 242.74/242.85  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 242.74/242.85  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.74/242.85  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).
% 242.74/242.85  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).
% 242.74/242.85  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 242.74/242.85  0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 242.74/242.85  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)).
% 242.74/242.85  0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 242.74/242.85  0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 242.74/242.85  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 242.74/242.85  0 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)).
% 242.74/242.85  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)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_A.
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B)=V_B.
% 242.74/242.85  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)).
% 242.74/242.85  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.
% 242.74/242.85  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 242.74/242.85  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)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)))=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 242.74/242.85  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b).
% 242.74/242.85  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))=V_A|hBOOL(c_in(V_x,V_A,T_a)).
% 242.74/242.85  0 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_C),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_D,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a))| -hBOOL(c_in(V_a,V_A,T_a)).
% 242.74/242.85  0 [] hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),T_a))| -hBOOL(c_in(V_a,V_B,T_a)).
% 242.74/242.85  0 [] hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A))=hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 242.74/242.85  0 [] hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A))=hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 242.74/242.85  0 [] hBOOL(c_in(V_a,V_A,T_a))|V_a=V_b| -hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a)).
% 242.74/242.85  0 [] c_lesse_quals(V_B,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 242.74/242.85  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a)).
% 242.74/242.85  0 [] hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),T_a)).
% 242.74/242.85  0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),T_a)).
% 242.74/242.85  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 242.74/242.85  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 242.74/242.85  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 242.74/242.85  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)).
% 242.74/242.85  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 242.74/242.85  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)).
% 242.74/242.85  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 242.74/242.85  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)).
% 242.74/242.85  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)).
% 242.74/242.85  0 [] c_lesse_quals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_I,T_b))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x)=V_c.
% 242.74/242.85  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_k,V_I,T_a)).
% 242.74/242.85  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 242.74/242.85  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 242.74/242.85  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_fun=V_fun_H.
% 242.74/242.85  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_c,V_a,T_a).
% 242.74/242.85  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_c,V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hAPP(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_x)=c_Option_Ooption_ONone(T_b)|hBOOL(c_in(V_x,V_A,T_a)).
% 242.74/242.85  0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(V_f,hAPP(V_g,V_x)).
% 242.74/242.85  0 [] hAPP(V_a,hAPP(V_b,V_v))=hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v).
% 242.74/242.85  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a).
% 242.74/242.85  0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 242.74/242.85  0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 242.74/242.85  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)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B)=V_B.
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=V_A.
% 242.74/242.85  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 242.74/242.85  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_D,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_Natural_Oevaln(V_c2,V_s,V_n,V_t)|hBOOL(hAPP(V_b,V_s))| -c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t).
% 242.74/242.85  0 [] c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1)| -c_Natural_Oevaln(V_c1,V_s,V_n,V_s1)|hBOOL(hAPP(V_b,V_s)).
% 242.74/242.85  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 242.74/242.85  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 242.74/242.85  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s).
% 242.74/242.85  0 [] hAPP(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_x)=hAPP(V_m,V_x)| -hBOOL(c_in(V_x,V_A,T_a)).
% 242.74/242.85  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_A),V_B,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))).
% 242.74/242.85  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)| -hBOOL(c_in(V_x,V_A,T_a)).
% 242.74/242.85  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)|c_lesse_quals(V_a,V_b,T_a).
% 242.74/242.85  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 242.74/242.85  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).
% 242.74/242.85  0 [] hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x)=hAPP(V_g,hAPP(V_f,V_x)).
% 242.74/242.85  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a)=c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a).
% 242.74/242.85  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 242.74/242.85  0 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 242.74/242.85  0 [] hAPP(hAPP(V_f,V_x),hAPP(hAPP(V_f,V_x),V_z))=hAPP(hAPP(V_f,V_x),V_z)| -c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b).
% 242.74/242.85  0 [] c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b)=V_f.
% 242.74/242.85  0 [] c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b)=V_g.
% 242.74/242.85  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 242.74/242.85  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 242.74/242.85  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a).
% 242.74/242.85  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a).
% 242.74/242.85  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 242.74/242.85  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 242.74/242.85  0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a)).
% 242.74/242.85  0 [] hBOOL(c_in(V_t,V_B,T_a))| -hBOOL(c_in(V_t,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 242.74/242.85  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 242.74/242.85  0 [] hBOOL(hAPP(V_Q,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 242.74/242.85  0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a).
% 242.74/242.85  0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_a,V_b,T_a).
% 242.74/242.85  0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,hAPP(V_d,V_v)).
% 242.74/242.85  0 [] hAPP(V_f,hAPP(V_g,V_x))!=hAPP(V_f_H,hAPP(V_g_H,V_x_H))|hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H).
% 242.74/242.85  0 [] hBOOL(hAPP(V_b,V_s))|V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t).
% 242.74/242.85  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool))).
% 242.74/242.85  0 [] c_The(hAPP(c_fe_qual(T_a),V_x),T_a)=V_x.
% 242.74/242.85  0 [] c_Fun_Ocomp(hAPP(V_f,V_x),hAPP(V_f,V_x),T_b,T_b,T_b)=hAPP(V_f,V_x)| -c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b).
% 242.74/242.85  0 [] c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 242.74/242.85  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a).
% 242.74/242.85  0 [] c_Natural_Oevaln(V_c2,V_s,V_n,V_t)|c_Natural_Oevaln(V_c1,V_s,V_n,V_t)| -c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t).
% 242.74/242.85  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_a)).
% 242.74/242.85  0 [] c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b)=c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b).
% 242.74/242.85  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 242.74/242.85  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 242.74/242.85  0 [] c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(T_a),T_a,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)!=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B)|hBOOL(c_in(V_x,V_B,T_a))|hBOOL(c_in(V_x,V_A,T_a))|V_A=V_B.
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 242.74/242.85  0 [] hAPP(c_Map_Orestrict__map(V_m,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,T_b),v_x)=c_Option_Ooption_ONone(T_b).
% 242.74/242.85  0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x)=hAPP(V_f,hAPP(V_g,v_x)).
% 242.74/242.85  0 [] hAPP(c_Fun_Oid(t_a),v_x)=v_x.
% 242.74/242.85  0 [] hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x)=hAPP(V_g,hAPP(V_f,v_x)).
% 242.74/242.85  0 [] -hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_xa,V_xb,V_xc,t_b),t_b,t_a)))|hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_xa),V_xb),V_xc))).
% 242.74/242.85  0 [] -hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,t_b),t_b,t_a)))|hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2))).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_b),T_b,T_a)=hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_b),T_b,T_a)=hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(V_G,V_P,V_Q,V_c)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconse_q12__3(V_P,V_P_H,V_Q,V_Q_H)))| -hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconse_q12__2(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(V_G,V_P,V_Q,V_c))).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xconse_q2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q2__2(V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconse_q12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q12__2(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconse_q1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconse_q1__2(V_P,V_P_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xconse_q1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconse_q1__2(V_P,V_P_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconse_q12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q12__3(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconse_q2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q2__2(V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c))).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),V_s),V_t))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),V_t))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2)),V_s),V_t)).
% 242.74/242.85  0 [] hBOOL(hAPP(V_b,V_s))|V_t=V_s| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c)),V_s),V_t)).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1)),V_s),V_s1))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),V_s1))|hBOOL(hAPP(V_b,V_s)).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),V_s),V_t))|hBOOL(hAPP(V_b,V_s))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2)),V_s),V_t)).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c)),V_s),V_s))|hBOOL(hAPP(V_b,V_s)).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c)),V_s0),V_s2))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c)),V_s1),V_s2))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s0),V_s1))| -hBOOL(hAPP(V_b,V_s0)).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1)),V_s),V_s1))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s),V_s1))| -hBOOL(hAPP(V_b,V_s)).
% 242.74/242.85  0 [] -hBOOL(hAPP(V_b,V_s))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),V_t))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2)),V_s),V_t)).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1)).
% 242.74/242.85  0 [] V_t=V_s| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t)).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))| -c_Natural_Oevaln(V_c,V_s,V_n,V_t).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))| -c_Natural_Oevaln(V_c,V_s,V_x,V_t).
% 242.74/242.85  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).
% 242.74/242.85  0 [] hAPP(c_COMBI(t_a),v_P)=v_P.
% 242.74/242.85  0 [] hAPP(c_COMBB(v_P,v_Q,t_a,t_b,t_c),v_R)=hAPP(v_P,hAPP(v_Q,v_R)).
% 242.74/242.85  0 [] c_COMBS(v_P,v_Q,v_R,t_a,t_b,t_c)=hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)).
% 242.74/242.85  0 [] hAPP(hAPP(c_COMBC(v_P,t_a,t_b,t_c),v_Q),v_R)=hAPP(hAPP(v_P,v_R),v_Q).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OWhile(V_b,V_c),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__valids(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSemi(V_c,V_d),V_R,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_Q,V_d,V_R,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 242.74/242.85  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 242.74/242.85  0 [] c_Collect(hAPP(c_fe_qual(T_a),V_a),T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 242.74/242.85  0 [] V_A=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)).
% 242.74/242.85  0 [] hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 242.74/242.85  0 [] hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 242.74/242.85  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a))).
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 242.74/242.85  0 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_x)).
% 242.74/242.85  0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 242.74/242.85  0 [] c_The(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_x.
% 242.74/242.85  0 [] hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))))=hAPP(hAPP(V_inf,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 242.74/242.85  0 [] hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))))=hAPP(hAPP(V_sup,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 242.74/242.85  0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)).
% 242.74/242.85  0 [] V_a=V_b| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_b)).
% 242.74/242.85  0 [] c_Set_Ocontents(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_x.
% 242.74/242.85  0 [] V_y=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_y)).
% 242.74/242.85  0 [] V_b=V_a| -hBOOL(c_in(V_b,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)).
% 242.74/242.85  0 [] c_Finite__Set_Ofold1(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 242.74/242.85  0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A).
% 242.74/242.85  0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_xa)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_xa,T_a)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),V_A).
% 242.74/242.85  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 242.74/242.85  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).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a).
% 242.74/242.85  0 [] hAPP(c_COMBK(v_P,t_a,t_b),v_Q)=v_P.
% 242.74/242.85  0 [] c_Hoare__Mirabelle_OMGT(V_c)=c_Hoare__Mirabelle_Otriple_Otriple(c_fe_qual(tc_Com_Ostate),V_c,c_Natural_Oevalc(V_c),tc_Com_Ostate).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_OMGT(v_c)=c_Hoare__Mirabelle_Otriple_Otriple(c_fe_qual(tc_Com_Ostate),v_c,c_Natural_Oevalc(v_c),tc_Com_Ostate).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_x)).
% 242.74/242.85  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A).
% 242.74/242.85  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.
% 242.74/242.85  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.
% 242.74/242.85  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.
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_b=V_c|V_b=V_d.
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_a=V_d|V_b=V_d.
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_b=V_c|V_a=V_c.
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_a=V_d|V_a=V_c.
% 242.74/242.85  0 [] V_u=V_t| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)).
% 242.74/242.85  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 242.74/242.85  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A))=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A).
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.74/242.85  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).
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A))=hAPP(hAPP(c_Set_Oinsert(T_a),V_y),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)).
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 242.74/242.85  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))|V_a=V_b.
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 242.74/242.85  0 [] c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,tc_Com_Ostate)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))),tc_Com_Ostate).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(v_P,v_x),v_xa)).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_xa),v_xb)).
% 242.74/242.85  0 [] -hBOOL(hAPP(hAPP(v_Q,v_x),v_xb)).
% 242.74/242.85  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 242.74/242.85  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 242.74/242.85  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 242.74/242.85  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).
% 242.74/242.85  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 242.74/242.85  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 242.74/242.85  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 242.74/242.85  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 242.74/242.85  0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 242.74/242.85  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 242.74/242.85  0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 242.74/242.85  0 [] class_Orderings_Opreorder(tc_nat).
% 242.74/242.85  0 [] class_Orderings_Olinorder(tc_nat).
% 242.74/242.85  0 [] class_Lattices_Olattice(tc_nat).
% 242.74/242.85  0 [] class_Orderings_Oorder(tc_nat).
% 242.74/242.85  0 [] class_Orderings_Obot(tc_nat).
% 242.74/242.85  0 [] class_HOL_Ominus(tc_nat).
% 242.74/242.85  0 [] class_HOL_Oord(tc_nat).
% 242.74/242.85  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 242.74/242.85  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 242.74/242.85  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 242.74/242.85  0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 242.74/242.85  0 [] class_Orderings_Opreorder(tc_bool).
% 242.74/242.85  0 [] class_Lattices_Olattice(tc_bool).
% 242.74/242.85  0 [] class_Orderings_Oorder(tc_bool).
% 242.74/242.85  0 [] class_Orderings_Obot(tc_bool).
% 242.74/242.85  0 [] class_HOL_Ominus(tc_bool).
% 242.74/242.85  0 [] class_HOL_Oord(tc_bool).
% 242.74/242.85  0 [] class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1).
% 242.74/242.85  0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 242.74/242.85  0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 242.74/242.85  end_of_list.
% 242.74/242.85  
% 242.74/242.85  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 242.74/242.85  
% 242.74/242.85  This ia a non-Horn set with equality.  The strategy will be
% 242.74/242.85  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 242.74/242.85  deletion, with positive clauses in sos and nonpositive
% 242.74/242.85  clauses in usable.
% 242.74/242.85  
% 242.74/242.85     dependent: set(knuth_bendix).
% 242.74/242.85     dependent: set(anl_eq).
% 242.74/242.85     dependent: set(para_from).
% 242.74/242.85     dependent: set(para_into).
% 242.74/242.85     dependent: clear(para_from_right).
% 242.74/242.85     dependent: clear(para_into_right).
% 242.74/242.85     dependent: set(para_from_vars).
% 242.74/242.85     dependent: set(eq_units_both_ways).
% 242.74/242.85     dependent: set(dynamic_demod_all).
% 242.74/242.85     dependent: set(dynamic_demod).
% 242.74/242.85     dependent: set(order_eq).
% 242.74/242.85     dependent: set(back_demod).
% 242.74/242.85     dependent: set(lrpo).
% 242.74/242.85     dependent: set(hyper_res).
% 242.74/242.85     dependent: set(unit_deletion).
% 242.74/242.85     dependent: set(factor).
% 242.74/242.85  
% 242.74/242.85  ------------> process usable:
% 242.74/242.85  ** KEPT (pick-wt=18): 1 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,D,tc_fun(C,tc_bool)).
% 242.74/242.85  ** KEPT (pick-wt=18): 2 [] 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_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 242.74/242.85  ** KEPT (pick-wt=12): 3 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 242.74/242.85  ** KEPT (pick-wt=14): 4 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_lesse_quals(B,D,A).
% 242.74/242.85  ** KEPT (pick-wt=14): 5 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 242.74/242.85  ** KEPT (pick-wt=15): 6 [] -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).
% 242.74/242.85  ** KEPT (pick-wt=15): 7 [] -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).
% 242.74/242.85  ** KEPT (pick-wt=15): 8 [] -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).
% 242.74/242.85  ** KEPT (pick-wt=15): 9 [] -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).
% 242.74/242.85  ** KEPT (pick-wt=19): 10 [] -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).
% 242.74/242.85  ** KEPT (pick-wt=19): 11 [] -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).
% 242.74/242.85  ** KEPT (pick-wt=20): 12 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool)).
% 242.74/242.85    Following clause subsumed by 12 during input processing: 0 [] -c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 242.74/242.85  ** KEPT (pick-wt=13): 13 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lesse_quals(B,C,A).
% 242.74/242.85    Following clause subsumed by 13 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|C=B.
% 242.74/242.85  ** KEPT (pick-wt=15): 14 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))|A=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 242.74/242.85  ** KEPT (pick-wt=13): 15 [] -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 242.74/242.85    Following clause subsumed by 15 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 242.74/242.85    Following clause subsumed by 14 during input processing: 0 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 242.74/242.85    Following clause subsumed by 15 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 242.74/242.85    Following clause subsumed by 15 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|B=C.
% 242.74/242.85  ** KEPT (pick-wt=13): 16 [] -class_Orderings_Olinorder(A)|B=C| -c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 242.74/242.85    Following clause subsumed by 16 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 242.74/242.85  ** KEPT (pick-wt=10): 17 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 242.74/242.85  ** KEPT (pick-wt=10): 18 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 242.74/242.85  ** KEPT (pick-wt=10): 19 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 242.74/242.85    Following clause subsumed by 19 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 242.74/242.85  ** KEPT (pick-wt=34): 20 [] -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)| -c_lesse_quals(D,C,tc_fun(E,tc_bool))| -c_Finite__Set_Ofinite(C,E).
% 242.74/242.85  ** KEPT (pick-wt=15): 21 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(C,B,A).
% 242.74/242.85  ** KEPT (pick-wt=15): 22 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(C,B,A).
% 242.74/242.85  ** KEPT (pick-wt=28): 23 [] c_Finite__Set_Ofold__graph(A,B,hAPP(hAPP(c_Set_Oinsert(C),D),E),hAPP(hAPP(A,D),F),C,G)| -c_Finite__Set_Ofold__graph(A,B,E,F,C,G)|hBOOL(c_in(D,E,C)).
% 242.74/242.85  ** KEPT (pick-wt=23): 24 [] hAPP(hAPP(c_Set_Oinsert(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A))=c_Set_Oimage(B,D,E,A)| -hBOOL(c_in(C,D,E)).
% 242.74/242.85  ** KEPT (pick-wt=22): 25 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -hBOOL(c_in(D,B,C))| -c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool)).
% 242.74/242.85  ** KEPT (pick-wt=22): 26 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -hBOOL(c_in(C,D,B))| -c_HOL_Oord__class_Oless(A,D,tc_fun(B,tc_bool)).
% 242.74/242.85  ** KEPT (pick-wt=22): 27 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(c_Set_Oimage(A,E,F,D),C,tc_fun(D,tc_bool)).
% 242.74/242.85  ** KEPT (pick-wt=22): 28 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(B,D,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastLessThan(D,B,A),c_SetInterval_Oord__class_OatLeastLessThan(E,C,A),tc_fun(A,tc_bool)).
% 242.74/242.85  ** KEPT (pick-wt=22): 29 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(D,C,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),c_SetInterval_Oord__class_OatLeastLessThan(B,E,A),tc_fun(A,tc_bool)).
% 242.74/242.85  ** KEPT (pick-wt=22): 30 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,B,A)| -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)).
% 242.74/242.85  ** KEPT (pick-wt=22): 31 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(C,D,A)| -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)).
% 242.74/242.85  ** KEPT (pick-wt=18): 32 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -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)).
% 242.74/242.85  ** KEPT (pick-wt=22): 33 [] -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))| -c_lesse_quals(D,E,A)|c_lesse_quals(B,C,A).
% 242.74/242.85  ** KEPT (pick-wt=29): 34 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)),c_SetInterval_Oord__class_OgreaterThanAtMost(C,D,A))=c_SetInterval_Oord__class_OgreaterThanAtMost(B,D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,C,A).
% 242.74/242.85  ** KEPT (pick-wt=29): 35 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)),c_SetInterval_Oord__class_OatLeastLessThan(C,D,A))=c_SetInterval_Oord__class_OatLeastLessThan(B,D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,C,A).
% 242.74/242.85  ** KEPT (pick-wt=22): 36 [] 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).
% 242.74/242.85  ** KEPT (pick-wt=34): 37 [] -class_OrderedGroup_Oab__group__add(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,hAPP(hAPP(c_Set_Oinsert(D),E),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))),tc_fun(D,tc_bool)),D,A)=c_Finite__Set_Osetsum(B,C,D,A)|hBOOL(c_in(E,C,D))| -c_Finite__Set_Ofinite(C,D).
% 242.74/242.85  ** KEPT (pick-wt=39): 39 [copy,38,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),c_Set_Oimage(C,c_HOL_Ominus__class_Ominus(D,hAPP(hAPP(c_Set_Oinsert(E),F),c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool))),tc_fun(E,tc_bool)),E,A))=c_Set_Oimage(c_Fun_Ofun__upd(C,F,B,E,A),D,E,A)| -hBOOL(c_in(F,D,E)).
% 242.74/242.85  ** KEPT (pick-wt=23): 40 [] -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)| -c_lesse_quals(B,D,A).
% 242.74/242.85  ** KEPT (pick-wt=15): 41 [] -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).
% 242.74/242.85  ** KEPT (pick-wt=21): 42 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool)),C).
% 242.74/242.86  ** KEPT (pick-wt=21): 43 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,D,tc_fun(B,tc_bool)),B).
% 242.74/242.86    Following clause subsumed by 3 during input processing: 0 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=14): 44 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_lesse_quals(D,C,A).
% 242.74/242.86  ** KEPT (pick-wt=14): 45 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 242.74/242.86  ** KEPT (pick-wt=10): 46 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 242.74/242.86  ** KEPT (pick-wt=10): 47 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 242.74/242.86  ** KEPT (pick-wt=10): 48 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 242.74/242.86  ** KEPT (pick-wt=14): 49 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,tc_fun(D,A))| -c_HOL_Oord__class_Oless(B,C,tc_fun(D,A)).
% 242.74/242.86  ** KEPT (pick-wt=12): 50 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=13): 51 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 242.74/242.86    Following clause subsumed by 51 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).
% 242.74/242.86    Following clause subsumed by 51 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.
% 242.74/242.86    Following clause subsumed by 51 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 242.74/242.86  ** KEPT (pick-wt=13): 52 [] -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.
% 242.74/242.86  ** KEPT (pick-wt=30): 53 [] -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))| -c_lesse_quals(D,E,A)| -c_HOL_Oord__class_Oless(D,B,A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(D,B,A).
% 242.74/242.86  ** KEPT (pick-wt=30): 54 [] -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))| -c_lesse_quals(D,E,A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(D,B,A).
% 242.74/242.86  ** KEPT (pick-wt=6): 55 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 242.74/242.86  ** KEPT (pick-wt=6): 56 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 242.74/242.86  ** KEPT (pick-wt=6): 57 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 242.74/242.86  ** KEPT (pick-wt=20): 58 [] -class_HOL_Oord(A)|c_HOL_Oord__class_Oless(B,C,tc_fun(D,A))|c_lesse_quals(C,B,tc_fun(D,A))| -c_lesse_quals(B,C,tc_fun(D,A)).
% 242.74/242.86  ** KEPT (pick-wt=6): 59 [] -c_HOL_Oord__class_Oless(A,A,tc_fun(B,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=14): 60 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 242.74/242.86  ** KEPT (pick-wt=13): 61 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),A),B).
% 242.74/242.86  ** KEPT (pick-wt=13): 62 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),A),C),B).
% 242.74/242.86  ** KEPT (pick-wt=16): 63 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 242.74/242.86    Following clause subsumed by 63 during input processing: 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 242.74/242.86  ** KEPT (pick-wt=14): 64 [] 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).
% 242.74/242.86  ** KEPT (pick-wt=14): 65 [] 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).
% 242.74/242.86  ** KEPT (pick-wt=11): 66 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 242.74/242.86  ** KEPT (pick-wt=15): 67 [] -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).
% 242.74/242.86  ** KEPT (pick-wt=15): 68 [] -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).
% 242.74/242.86  ** KEPT (pick-wt=16): 69 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,c_Set_Oimage(C,D,E,B),tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(D,E).
% 242.74/242.86  ** KEPT (pick-wt=10): 70 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofold__graph(C,D,A,E,B,F).
% 242.74/242.86  ** KEPT (pick-wt=14): 71 [] -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).
% 242.74/242.86  ** KEPT (pick-wt=18): 72 [] 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)).
% 242.74/242.86  ** KEPT (pick-wt=16): 73 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=14): 74 [] -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).
% 242.74/242.86  ** KEPT (pick-wt=10): 75 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 242.74/242.86    Following clause subsumed by 56 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A).
% 242.74/242.86    Following clause subsumed by 75 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lesse_quals(B,B,A).
% 242.74/242.86  ** KEPT (pick-wt=10): 76 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(C,B,A).
% 242.74/242.86    Following clause subsumed by 75 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 242.74/242.86    Following clause subsumed by 76 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 242.74/242.86    Following clause subsumed by 75 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 242.74/242.86  ** KEPT (pick-wt=14): 77 [] -class_HOL_Oord(A)| -c_lesse_quals(B,C,tc_fun(D,A))| -c_HOL_Oord__class_Oless(C,B,tc_fun(D,A)).
% 242.74/242.86  ** KEPT (pick-wt=10): 78 [] -class_Orderings_Opreorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 242.74/242.86  ** KEPT (pick-wt=28): 79 [] 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).
% 242.74/242.86  ** KEPT (pick-wt=15): 80 [] -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).
% 242.74/242.86  ** KEPT (pick-wt=15): 81 [] -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).
% 242.74/242.86  ** KEPT (pick-wt=26): 82 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(D,E,A)| -c_lesse_quals(E,B,A)| -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)).
% 242.74/242.86  ** KEPT (pick-wt=5): 83 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 242.74/242.86  ** KEPT (pick-wt=13): 84 [] c_Fun_Ofun__upd(A,B,C,D,E)!=A|hAPP(A,B)=C.
% 242.74/242.86  ** KEPT (pick-wt=16): 85 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 242.74/242.86    Following clause subsumed by 85 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 242.74/242.86    Following clause subsumed by 85 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 242.74/242.86    Following clause subsumed by 85 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 242.74/242.86  ** KEPT (pick-wt=15): 86 [] -class_Lattices_Oupper__semilattice(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 242.74/242.86  ** KEPT (pick-wt=15): 87 [] -class_Lattices_Oupper__semilattice(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 242.74/242.86  ** KEPT (pick-wt=16): 88 [] 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)).
% 242.74/242.86  ** KEPT (pick-wt=9): 89 [] -c_HOL_Oord__class_Oless(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=13): 90 [] A=B| -c_Finite__Set_Ofold__graph(C,B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),A,D,E).
% 242.74/242.86  ** KEPT (pick-wt=16): 91 [] 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)).
% 242.74/242.86  ** KEPT (pick-wt=11): 92 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(A),B),C),A)| -c_Finite__Set_Ofinite(C,A).
% 242.74/242.86  ** KEPT (pick-wt=11): 93 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(B),C),A),B).
% 242.74/242.86  ** KEPT (pick-wt=39): 94 [] -class_Ring__and__Field_Oring(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,hAPP(hAPP(c_Set_Oinsert(D),E),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))),tc_fun(D,tc_bool)),D,A)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(B,C,D,A),hAPP(B,E),A)| -hBOOL(c_in(E,C,D))| -c_Finite__Set_Ofinite(C,D).
% 242.74/242.86  ** KEPT (pick-wt=39): 95 [] -class_OrderedGroup_Oab__group__add(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,hAPP(hAPP(c_Set_Oinsert(D),E),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))),tc_fun(D,tc_bool)),D,A)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(B,C,D,A),hAPP(B,E),A)| -hBOOL(c_in(E,C,D))| -c_Finite__Set_Ofinite(C,D).
% 242.74/242.86  ** KEPT (pick-wt=28): 96 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))|hBOOL(c_in(C,A,B))| -c_HOL_Oord__class_Oless(A,D,tc_fun(B,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=27): 97 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))|hBOOL(c_in(C,A,B))|hBOOL(c_in(C,D,B)).
% 242.74/242.86  ** KEPT (pick-wt=27): 98 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C))|hBOOL(c_in(D,B,C))| -c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=29): 99 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)),c_SetInterval_Oord__class_OatLeastAtMost(C,D,A))=c_SetInterval_Oord__class_OatLeastAtMost(B,D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,C,A).
% 242.74/242.86  ** KEPT (pick-wt=29): 100 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)),c_SetInterval_Oord__class_OgreaterThanAtMost(C,D,A))=c_SetInterval_Oord__class_OatLeastAtMost(B,D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,C,A).
% 242.74/242.86  ** KEPT (pick-wt=16): 101 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Finite__Set_Olinorder__class_OMax(C,A),A)| -hBOOL(c_in(B,C,A))| -c_Finite__Set_Ofinite(C,A).
% 242.74/242.86  ** KEPT (pick-wt=16): 102 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(B,A),C,A)| -hBOOL(c_in(C,B,A))| -c_Finite__Set_Ofinite(B,A).
% 242.74/242.86  ** KEPT (pick-wt=18): 103 [] -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).
% 242.74/242.86  ** KEPT (pick-wt=18): 104 [] -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).
% 242.74/242.86  ** KEPT (pick-wt=24): 105 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B),E))|hBOOL(c_in(C,D,B))| -c_Finite__Set_Ofold__graph(A,C,D,E,B,B).
% 242.74/242.86  ** KEPT (pick-wt=25): 106 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 242.74/242.86  ** KEPT (pick-wt=17): 107 [] c_Natural_Oevaln(c_Com_Ocom_OSemi(A,B),C,D,E)| -c_Natural_Oevaln(B,F,D,E)| -c_Natural_Oevaln(A,C,D,F).
% 242.74/242.86  ** KEPT (pick-wt=14): 108 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 242.74/242.86  ** KEPT (pick-wt=14): 109 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 242.74/242.86  ** KEPT (pick-wt=23): 110 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,E)| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),F,D,E)| -c_Natural_Oevaln(B,C,D,F)| -hBOOL(hAPP(A,C)).
% 242.74/242.86  ** KEPT (pick-wt=9): 111 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 242.74/242.86  ** KEPT (pick-wt=9): 112 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 242.74/242.86  ** KEPT (pick-wt=17): 113 [] -hBOOL(hAPP(A,B))|c_Natural_Oevaln(C,B,D,E)| -c_Natural_Oevaln(c_Com_Ocom_OCond(A,C,F),B,D,E).
% 242.74/242.86  ** KEPT (pick-wt=17): 114 [] c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -c_Natural_Oevaln(B,D,E,F)| -hBOOL(hAPP(A,D)).
% 242.74/242.86  ** KEPT (pick-wt=10): 115 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),B)=B.
% 242.74/242.86  ** KEPT (pick-wt=23): 116 [] -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,A)),B),C),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(B,v_x)),hAPP(C,v_x)).
% 242.74/242.86  ** KEPT (pick-wt=35): 117 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=35): 118 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 242.74/242.86    Following clause subsumed by 118 during input processing: 0 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=17): 119 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(hAPP(B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,A),A)| -hBOOL(c_in(C,D,E)).
% 242.74/242.86  ** KEPT (pick-wt=19): 120 [] c_lesse_quals(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))| -hBOOL(c_in(B,C,D)).
% 242.74/242.86  ** KEPT (pick-wt=23): 121 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool))| -hBOOL(c_in(B,D,A)).
% 242.74/242.86  ** KEPT (pick-wt=5): 122 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 242.74/242.86  ** KEPT (pick-wt=7): 123 [] -class_Lattices_Oupper__semilattice(A)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(A),A,A).
% 242.74/242.86  ** KEPT (pick-wt=36): 124 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,C,D),E,c_Option_Ooption_ONone(D),C,tc_Option_Ooption(D))=c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Set_Oinsert(C),E),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool)),C,D)| -hBOOL(c_in(E,B,C)).
% 242.74/242.86  ** KEPT (pick-wt=41): 126 [copy,125,flip.1] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Set_Oinsert(C),D),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool)),C,E),D,F,C,tc_Option_Ooption(E))=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,C,E),D,F,C,tc_Option_Ooption(E))| -hBOOL(c_in(D,B,C)).
% 242.74/242.86  ** KEPT (pick-wt=41): 127 [] c_Map_Orestrict__map(c_Fun_Ofun__upd(A,B,C,D,tc_Option_Ooption(E)),F,D,E)=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(F,hAPP(hAPP(c_Set_Oinsert(D),B),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))),tc_fun(D,tc_bool)),D,E),B,C,D,tc_Option_Ooption(E))| -hBOOL(c_in(B,F,D)).
% 242.74/242.86  ** KEPT (pick-wt=41): 128 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool))|hBOOL(c_in(C,D,B)).
% 242.74/242.86  ** KEPT (pick-wt=30): 129 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -c_lesse_quals(B,C,A).
% 242.74/242.86  ** KEPT (pick-wt=30): 130 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -c_lesse_quals(B,C,A).
% 242.74/242.86  ** KEPT (pick-wt=63): 131 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a).
% 242.74/242.86  ** KEPT (pick-wt=25): 132 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMax(B,A),c_Finite__Set_Olinorder__class_OMax(C,A),A)| -c_Finite__Set_Ofinite(C,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=25): 133 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(B,A),c_Finite__Set_Olinorder__class_OMin(C,A),A)| -c_Finite__Set_Ofinite(B,A)|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=42): 134 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool))| -c_HOL_Oord__class_Oless(A,D,tc_fun(B,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=23): 135 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=hAPP(hAPP(c_Set_Oinsert(B),A),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))| -hBOOL(c_in(E,D,C)).
% 242.74/242.86  ** KEPT (pick-wt=36): 136 [] 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,hAPP(hAPP(c_Set_Oinsert(F),D),c_Orderings_Obot__class_Obot(tc_fun(F,tc_bool))),tc_fun(F,tc_bool)),E,F,G)| -hBOOL(c_in(D,C,F)).
% 242.74/242.86  ** KEPT (pick-wt=40): 137 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))|hBOOL(c_in(C,D,B))| -c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=40): 138 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool))|hBOOL(c_in(C,D,B)).
% 242.74/242.86  ** KEPT (pick-wt=41): 139 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool))| -c_HOL_Oord__class_Oless(A,D,tc_fun(B,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=36): 140 [] 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,hAPP(hAPP(c_Set_Oinsert(F),D),c_Orderings_Obot__class_Obot(tc_fun(F,tc_bool))),tc_fun(F,tc_bool)),E,F,G).
% 242.74/242.86  ** KEPT (pick-wt=25): 141 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 242.74/242.86  ** KEPT (pick-wt=25): 142 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 242.74/242.86  ** KEPT (pick-wt=25): 143 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 242.74/242.86  ** KEPT (pick-wt=25): 144 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 242.74/242.86    Following clause subsumed by 144 during input processing: 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=19): 145 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 242.74/242.86  ** KEPT (pick-wt=11): 146 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 242.74/242.86  ** KEPT (pick-wt=11): 147 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 242.74/242.86    Following clause subsumed by 145 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 242.74/242.86    Following clause subsumed by 145 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 242.74/242.86  ** KEPT (pick-wt=11): 148 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 242.74/242.86  ** KEPT (pick-wt=11): 149 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 242.74/242.86  ** KEPT (pick-wt=21): 150 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=C| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 242.74/242.86  ** KEPT (pick-wt=6): 152 [copy,151,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 242.74/242.86  ** KEPT (pick-wt=11): 153 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)).
% 242.74/242.86  ** KEPT (pick-wt=11): 154 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)).
% 242.74/242.86  ** KEPT (pick-wt=20): 155 [] 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)).
% 242.74/242.86    Following clause subsumed by 155 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)).
% 242.74/242.86  ** KEPT (pick-wt=16): 156 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(C),A),D),B,tc_fun(C,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=18): 157 [] -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)).
% 242.74/242.87  ** KEPT (pick-wt=22): 158 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))|hBOOL(c_in(C,A,B)).
% 242.74/242.87  ** KEPT (pick-wt=22): 159 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool)).
% 242.74/242.87    Following clause subsumed by 158 during input processing: 0 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))|hBOOL(c_in(C,A,B)).
% 242.74/242.87    Following clause subsumed by 159 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C)).
% 242.74/242.87  ** KEPT (pick-wt=23): 160 [] 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)).
% 242.74/242.87    Following clause subsumed by 160 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)).
% 242.74/242.87  ** KEPT (pick-wt=23): 161 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(c_Fun_Oid(D),F,D,D,E)|hAPP(A,hAPP(B,G))=hAPP(F,G).
% 242.74/242.87  ** KEPT (pick-wt=19): 162 [] -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).
% 242.74/242.87  ** KEPT (pick-wt=23): 163 [] 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).
% 242.74/242.87  ** KEPT (pick-wt=23): 164 [] 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).
% 242.74/242.87  ** KEPT (pick-wt=15): 165 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 242.74/242.87  ** KEPT (pick-wt=15): 166 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 242.74/242.87  ** KEPT (pick-wt=10): 167 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|A=C.
% 242.74/242.87  ** KEPT (pick-wt=10): 168 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|B=D.
% 242.74/242.87  ** KEPT (pick-wt=20): 169 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 242.74/242.87  ** KEPT (pick-wt=20): 170 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 242.74/242.87    Following clause subsumed by 152 during input processing: 0 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 242.74/242.87  ** KEPT (pick-wt=21): 171 [] 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)).
% 242.74/242.87    Following clause subsumed by 171 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)).
% 242.74/242.87  ** KEPT (pick-wt=8): 172 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 242.74/242.87  ** KEPT (pick-wt=8): 173 [] A=B| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,B,C,A).
% 242.74/242.87  ** KEPT (pick-wt=24): 174 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),B),D),tc_fun(C,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=24): 175 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=16): 176 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 242.74/242.87  ** KEPT (pick-wt=49): 177 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OWhile(D,E),c_Hoare__Mirabelle_Opeek__and(C,c_Fun_Ocomp(c_Not,D,tc_bool,tc_bool,tc_Com_Ostate),B),B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(C,D,B),E,C,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 242.74/242.87  ** KEPT (pick-wt=68): 178 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OCond(D,E,F),G,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(C,c_Fun_Ocomp(c_Not,D,tc_bool,tc_bool,tc_Com_Ostate),B),F,G,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(C,D,B),E,G,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 242.74/242.87  ** KEPT (pick-wt=11): 179 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Obot__class_Obot(A)),B)=B.
% 242.74/242.87  ** KEPT (pick-wt=11): 180 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Obot__class_Obot(A))=B.
% 242.74/242.87  ** KEPT (pick-wt=7): 181 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 242.74/242.87  ** KEPT (pick-wt=15): 182 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 242.74/242.87  ** KEPT (pick-wt=15): 183 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 242.74/242.87  ** KEPT (pick-wt=18): 184 [] 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).
% 242.74/242.87  ** KEPT (pick-wt=18): 185 [] 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).
% 242.74/242.87  ** KEPT (pick-wt=12): 186 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 242.74/242.87  ** KEPT (pick-wt=8): 187 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 242.74/242.87    Following clause subsumed by 187 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 242.74/242.87    Following clause subsumed by 187 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 242.74/242.87    Following clause subsumed by 187 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 242.74/242.87  ** KEPT (pick-wt=15): 188 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=12): 189 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 242.74/242.87  ** KEPT (pick-wt=10): 190 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C)).
% 242.74/242.87    Following clause subsumed by 187 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 242.74/242.87  ** KEPT (pick-wt=19): 191 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=19): 192 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=26): 193 [] hAPP(hAPP(c_Set_Oinsert(A),B),c_HOL_Ominus__class_Ominus(C,hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),tc_fun(A,tc_bool)))=C| -hBOOL(c_in(B,C,A)).
% 242.74/242.87  ** KEPT (pick-wt=25): 194 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))),A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 242.74/242.87  ** KEPT (pick-wt=36): 195 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=22): 196 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(A),B),C),hAPP(hAPP(c_Set_Oinsert(A),B),D),tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=15): 197 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B))| -hBOOL(c_in(A,D,B)).
% 242.74/242.87    Following clause subsumed by 197 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B))| -hBOOL(c_in(A,D,B)).
% 242.74/242.87  ** KEPT (pick-wt=26): 198 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),D))=hAPP(hAPP(E,C),hAPP(A,D))| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,B).
% 242.74/242.87  ** KEPT (pick-wt=26): 199 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),D))=hAPP(hAPP(E,C),hAPP(A,D))| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,B).
% 242.74/242.87  ** KEPT (pick-wt=18): 200 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),C)).
% 242.74/242.87  ** KEPT (pick-wt=17): 201 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=17): 202 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(C),D),A),B,tc_fun(C,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=10): 203 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 242.74/242.87  ** KEPT (pick-wt=10): 204 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 242.74/242.87  ** KEPT (pick-wt=7): 205 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 242.74/242.87  ** KEPT (pick-wt=19): 206 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(A),B),C),A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Complete__Lattice_OSup__class_OSup(C,A)).
% 242.74/242.87  ** KEPT (pick-wt=8): 207 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 242.74/242.87  ** KEPT (pick-wt=25): 208 [] 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)).
% 242.74/242.87  ** KEPT (pick-wt=8): 209 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 242.74/242.87  ** KEPT (pick-wt=15): 210 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C)).
% 242.74/242.87  ** KEPT (pick-wt=15): 211 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C)).
% 242.74/242.87  ** KEPT (pick-wt=25): 212 [] c_lesse_quals(hAPP(A,B),C,tc_fun(D,tc_bool))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,A,F,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=8): 213 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 242.74/242.87  ** KEPT (pick-wt=29): 214 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool))| -hBOOL(c_in(C,D,E)).
% 242.74/242.87  ** KEPT (pick-wt=12): 215 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|C=F.
% 242.74/242.87  ** KEPT (pick-wt=12): 216 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|B=E.
% 242.74/242.87  ** KEPT (pick-wt=12): 217 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|A=D.
% 242.74/242.87  ** KEPT (pick-wt=22): 218 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,A)| -c_lesse_quals(D,B,A).
% 242.74/242.87  ** KEPT (pick-wt=22): 219 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,B,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(D,B,A),c_SetInterval_Oord__class_OatLeastAtMost(E,C,A),tc_fun(A,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=22): 220 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A),tc_fun(A,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=18): 221 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))|c_lesse_quals(B,C,A).
% 242.74/242.87  ** KEPT (pick-wt=19): 222 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),C),A),B)).
% 242.74/242.87  ** KEPT (pick-wt=15): 223 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D)).
% 242.74/242.87  ** KEPT (pick-wt=15): 224 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(B,D)).
% 242.74/242.87  ** KEPT (pick-wt=22): 225 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),B),C)).
% 242.74/242.87  ** KEPT (pick-wt=25): 226 [] 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)).
% 242.74/242.87    Following clause subsumed by 122 during input processing: 0 [flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 242.74/242.87  ** KEPT (pick-wt=28): 227 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(E,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=17): 228 [] c_Natural_Oevaln(A,B,C,D)|hBOOL(hAPP(E,B))| -c_Natural_Oevaln(c_Com_Ocom_OCond(E,F,A),B,C,D).
% 242.74/242.87  ** KEPT (pick-wt=17): 229 [] c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -c_Natural_Oevaln(C,D,E,F)|hBOOL(hAPP(A,D)).
% 242.74/242.87  ** KEPT (pick-wt=15): 230 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 242.74/242.87    Following clause subsumed by 230 during input processing: 0 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=13): 231 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 242.74/242.87    Following clause subsumed by 231 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 242.74/242.87    Following clause subsumed by 231 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 242.74/242.87  ** KEPT (pick-wt=14): 232 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=B| -c_lesse_quals(C,B,A).
% 242.74/242.87  ** KEPT (pick-wt=14): 233 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=C|c_lesse_quals(B,C,A).
% 242.74/242.87  ** KEPT (pick-wt=14): 234 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=C| -c_lesse_quals(B,C,A).
% 242.74/242.87  ** KEPT (pick-wt=16): 235 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=C| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=16): 236 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=B| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=16): 237 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=C|c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=16): 238 [] hAPP(c_Map_Orestrict__map(A,B,C,D),E)=hAPP(A,E)| -hBOOL(c_in(E,B,C)).
% 242.74/242.87  ** KEPT (pick-wt=13): 239 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(B,A),C,A)| -hBOOL(c_in(C,B,A)).
% 242.74/242.87  ** KEPT (pick-wt=15): 240 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)|c_lesse_quals(B,C,A).
% 242.74/242.87  ** KEPT (pick-wt=15): 241 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -c_lesse_quals(B,C,A).
% 242.74/242.87  ** KEPT (pick-wt=12): 242 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 242.74/242.87  ** KEPT (pick-wt=32): 243 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),E),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=5): 244 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 242.74/242.87  ** KEPT (pick-wt=22): 245 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -hBOOL(c_in(B,D,A)).
% 242.74/242.87  ** KEPT (pick-wt=19): 246 [] hAPP(hAPP(A,B),hAPP(hAPP(A,B),C))=hAPP(hAPP(A,B),C)| -c_Finite__Set_Ofun__left__comm__idem(A,D,E).
% 242.74/242.87  ** KEPT (pick-wt=7): 247 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 242.74/242.87  ** KEPT (pick-wt=17): 248 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B)).
% 242.74/242.87  ** KEPT (pick-wt=17): 249 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,C,B)).
% 242.74/242.87  ** KEPT (pick-wt=15): 250 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 242.74/242.87  ** KEPT (pick-wt=15): 251 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 242.74/242.87  ** KEPT (pick-wt=15): 252 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_lesse_quals(B,D,A).
% 242.74/242.87  ** KEPT (pick-wt=15): 253 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_lesse_quals(B,C,A).
% 242.74/242.87    Following clause subsumed by 250 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 242.74/242.87    Following clause subsumed by 251 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 242.74/242.87  ** KEPT (pick-wt=19): 254 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),A),D),B,tc_fun(C,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=19): 255 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),A),B,tc_fun(C,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=14): 256 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 242.74/242.87  ** KEPT (pick-wt=14): 257 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 242.74/242.87  ** KEPT (pick-wt=16): 258 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 242.74/242.87    Following clause subsumed by 258 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 242.74/242.87    Following clause subsumed by 258 during input processing: 0 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 242.74/242.87    Following clause subsumed by 258 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=18): 259 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=14): 260 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=6): 261 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 242.74/242.87  ** KEPT (pick-wt=6): 262 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 242.74/242.87    Following clause subsumed by 260 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 242.74/242.87  ** KEPT (pick-wt=15): 263 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_lesse_quals(B,C,A).
% 242.74/242.87  ** KEPT (pick-wt=15): 264 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,A).
% 242.74/242.87  ** KEPT (pick-wt=24): 265 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(F,G,H,D,E)|hAPP(A,hAPP(B,I))=hAPP(F,hAPP(G,I)).
% 242.74/242.87  ** KEPT (pick-wt=28): 266 [] hAPP(A,hAPP(B,C))!=hAPP(D,hAPP(E,F))|hAPP(c_Fun_Ocomp(A,B,G,H,I),C)=hAPP(c_Fun_Ocomp(D,E,J,H,K),F).
% 242.74/242.87  ** KEPT (pick-wt=14): 267 [] hBOOL(hAPP(A,B))|C=B| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,D),B,E,C).
% 242.74/242.87  ** KEPT (pick-wt=18): 268 [] c_Fun_Ocomp(hAPP(A,B),hAPP(A,B),C,C,C)=hAPP(A,B)| -c_Finite__Set_Ofun__left__comm__idem(A,D,C).
% 242.74/242.87  ** KEPT (pick-wt=25): 269 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=C| -c_lesse_quals(A,B,tc_fun(D,tc_bool))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 242.74/242.87  ** KEPT (pick-wt=19): 270 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A).
% 242.74/242.87  ** KEPT (pick-wt=19): 271 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A).
% 242.74/242.87  ** KEPT (pick-wt=18): 272 [] c_Natural_Oevaln(A,B,C,D)|c_Natural_Oevaln(E,B,C,D)| -c_Natural_Oevaln(c_Com_Ocom_OCond(F,E,A),B,C,D).
% 242.74/242.87  ** KEPT (pick-wt=13): 273 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(B,c_Complete__Lattice_OSup__class_OSup(C,A),A)| -hBOOL(c_in(B,C,A)).
% 242.74/242.87    Following clause subsumed by 244 during input processing: 0 [flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 242.74/242.87  ** KEPT (pick-wt=10): 274 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 242.74/242.87  ** KEPT (pick-wt=26): 275 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=hAPP(hAPP(c_Set_Oinsert(A),B),D)|hBOOL(c_in(B,D,A))|hBOOL(c_in(B,C,A))|C=D.
% 242.74/242.87  ** KEPT (pick-wt=13): 276 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)=C| -hBOOL(c_in(B,C,A)).
% 242.74/242.87  ** KEPT (pick-wt=22): 277 [] -hBOOL(hAPP(A,c_Hoare__Mirabelle_Otriple_Otriple__case(B,c_Hoare__Mirabelle_Otriple_Otriple(C,D,E,t_b),t_b,t_a)))|hBOOL(hAPP(A,hAPP(hAPP(hAPP(B,C),D),E))).
% 242.74/242.87    Following clause subsumed by 277 during input processing: 0 [] -hBOOL(hAPP(A,c_Hoare__Mirabelle_Otriple_Otriple__case(B,c_Hoare__Mirabelle_Otriple_Otriple(C,D,E,t_b),t_b,t_a)))|hBOOL(hAPP(A,hAPP(hAPP(hAPP(B,C),D),E))).
% 242.74/242.87  ** KEPT (pick-wt=58): 278 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(A,B,D,C,G,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(A,B,D,C)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.87  ** KEPT (pick-wt=56): 279 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xconse_q12__3(B,G,D,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xconse_q12__2(B,G,D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.87  ** KEPT (pick-wt=58): 280 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(A,B,D,C,G,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(A,B,D,C)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.87  ** KEPT (pick-wt=52): 281 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(A,B,D,C,E,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.87  ** KEPT (pick-wt=46): 282 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,v_sko__Hoare__Mirabelle__Xconse_q2__1(D,E)),v_sko__Hoare__Mirabelle__Xconse_q2__2(D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.87  ** KEPT (pick-wt=50): 283 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xconse_q12__1(B,E,D,F)),v_sko__Hoare__Mirabelle__Xconse_q12__2(B,E,D,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.87  ** KEPT (pick-wt=46): 284 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xconse_q1__1(B,E)),v_sko__Hoare__Mirabelle__Xconse_q1__2(B,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.87  ** KEPT (pick-wt=52): 285 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(A,B,D,C,E,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.87  ** KEPT (pick-wt=46): 286 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(E,v_sko__Hoare__Mirabelle__Xconse_q1__1(B,E)),v_sko__Hoare__Mirabelle__Xconse_q1__2(B,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.88  ** KEPT (pick-wt=50): 287 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xconse_q12__1(B,E,D,F)),v_sko__Hoare__Mirabelle__Xconse_q12__3(B,E,D,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.88  ** KEPT (pick-wt=46): 288 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xconse_q2__1(D,E)),v_sko__Hoare__Mirabelle__Xconse_q2__2(D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 242.74/242.88  ** KEPT (pick-wt=14): 289 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(C)),D),B),C).
% 242.74/242.88  ** KEPT (pick-wt=24): 290 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),B),C))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(D),B),C))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(E,D,A)),B),C)).
% 242.74/242.88  ** KEPT (pick-wt=16): 291 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,D)),B),C)).
% 242.74/242.88  ** KEPT (pick-wt=21): 292 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E))|hBOOL(hAPP(A,D)).
% 242.74/242.88  ** KEPT (pick-wt=21): 293 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),B),C))|hBOOL(hAPP(D,B))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(D,E,A)),B),C)).
% 242.74/242.88  ** KEPT (pick-wt=29): 294 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),E),D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),C),E))| -hBOOL(hAPP(A,C)).
% 242.74/242.88  ** KEPT (pick-wt=21): 295 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E))| -hBOOL(hAPP(A,D)).
% 242.74/242.88  ** KEPT (pick-wt=21): 296 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),B),D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,C,E)),B),D)).
% 242.74/242.88  ** KEPT (pick-wt=23): 297 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(A,B)),C),D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),E),D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),C),E)).
% 242.74/242.88  ** KEPT (pick-wt=10): 298 [] A=B| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),B),A)).
% 242.74/242.88  ** KEPT (pick-wt=12): 299 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),B),C))| -c_Natural_Oevaln(A,B,D,C).
% 242.74/242.88    Following clause subsumed by 299 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),B),C))| -c_Natural_Oevaln(A,B,D,C).
% 242.74/242.88  ** KEPT (pick-wt=8): 300 [] c_Hoare__Mirabelle_Ohoare__valids(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,B,C).
% 242.74/242.88  ** KEPT (pick-wt=49): 301 [] c_Hoare__Mirabelle_Ohoare__valids(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OWhile(D,E),c_Hoare__Mirabelle_Opeek__and(C,c_Fun_Ocomp(c_Not,D,tc_bool,tc_bool,tc_Com_Ostate),B),B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__valids(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(C,D,B),E,C,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 242.74/242.88  ** KEPT (pick-wt=56): 302 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OSemi(D,E),F,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(G,E,F,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,D,G,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 242.74/242.88  ** KEPT (pick-wt=11): 303 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_Orderings_Obot__class_Obot(A).
% 242.74/242.88  ** KEPT (pick-wt=31): 304 [] A=hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))|A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)).
% 242.74/242.88  ** KEPT (pick-wt=23): 305 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))))=C| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,J,B).
% 242.74/242.88  ** KEPT (pick-wt=23): 306 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))))=C| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,J,B).
% 242.74/242.88  ** KEPT (pick-wt=15): 307 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 242.74/242.88  ** KEPT (pick-wt=15): 308 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 242.74/242.88  ** KEPT (pick-wt=32): 309 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),hAPP(hAPP(c_Set_Oinsert(B),D),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))))=hAPP(hAPP(E,C),D)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,B).
% 242.74/242.88  ** KEPT (pick-wt=32): 310 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),hAPP(hAPP(c_Set_Oinsert(B),D),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))))=hAPP(hAPP(E,C),D)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,B).
% 242.74/242.88  ** KEPT (pick-wt=18): 311 [] A=B| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(C,hAPP(hAPP(c_Set_Oinsert(D),A),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))),D),B)).
% 242.74/242.88  ** KEPT (pick-wt=25): 312 [] A=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),B)| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),A)).
% 242.74/242.88  ** KEPT (pick-wt=16): 313 [] A=B| -hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),C)).
% 242.74/242.88  ** KEPT (pick-wt=15): 314 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 242.74/242.88  ** KEPT (pick-wt=16): 316 [copy,315,flip.2] -class_Orderings_Oorder(A)|hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_SetInterval_Oord__class_OatLeastAtMost(B,B,A).
% 242.74/242.88  ** KEPT (pick-wt=16): 317 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(c_in(B,C,A)).
% 242.74/242.88  ** KEPT (pick-wt=15): 318 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 242.74/242.88  ** KEPT (pick-wt=28): 319 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),C),D),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 242.74/242.88  ** KEPT (pick-wt=24): 320 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),C),D),B).
% 242.74/242.88  ** KEPT (pick-wt=11): 322 [copy,321,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 242.74/242.88  ** KEPT (pick-wt=14): 323 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|C=G.
% 242.74/242.88  ** KEPT (pick-wt=14): 324 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|B=F.
% 242.74/242.88  ** KEPT (pick-wt=14): 325 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|A=E.
% 242.74/242.88  ** KEPT (pick-wt=35): 326 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|C=D|C=E.
% 242.74/242.88  ** KEPT (pick-wt=35): 327 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|B=E|C=E.
% 242.74/242.88  ** KEPT (pick-wt=35): 328 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|C=D|B=D.
% 242.74/242.88  ** KEPT (pick-wt=35): 329 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|B=E|B=D.
% 242.74/242.88  ** KEPT (pick-wt=17): 330 [] A=B| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),A))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),B)).
% 242.74/242.88  ** KEPT (pick-wt=7): 331 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 242.74/242.88  ** KEPT (pick-wt=16): 332 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(D),C),A),B)).
% 242.74/242.88    Following clause subsumed by 322 during input processing: 0 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 242.74/242.88  ** KEPT (pick-wt=11): 333 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 242.74/242.88  ** KEPT (pick-wt=22): 334 [] hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))!=hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))|B=C.
% 242.74/242.88  ** KEPT (pick-wt=13): 335 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(A),B),C),D))| -hBOOL(hAPP(C,D)).
% 242.74/242.88  ** KEPT (pick-wt=6): 336 [] -hBOOL(hAPP(hAPP(v_Q,v_x),v_xb)).
% 242.74/242.88  ** KEPT (pick-wt=6): 337 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 242.74/242.88  ** KEPT (pick-wt=6): 338 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 242.74/242.88  ** KEPT (pick-wt=6): 339 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 242.74/242.88  ** KEPT (pick-wt=8): 340 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 242.74/242.88  ** KEPT (pick-wt=6): 341 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 242.74/242.88  ** KEPT (pick-wt=6): 342 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 242.74/242.88  ** KEPT (pick-wt=6): 343 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 242.74/242.88  ** KEPT (pick-wt=6): 344 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 242.74/242.88  ** KEPT (pick-wt=6): 345 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B).
% 242.74/242.88  ** KEPT (pick-wt=6): 346 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 242.74/242.88  ** KEPT (pick-wt=5): 347 [] class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(A))| -class_Finite__Set_Ofinite_Ofinite(A).
% 242.74/242.88  ** KEPT (pick-wt=10): 348 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)).
% 242.74/242.88  66 back subsumes 64.
% 242.74/242.88    Following clause subsumed by 209 during input processing: 0 [copy,172,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 242.74/242.88  201 back subsumes 195.
% 242.74/242.88  201 back subsumes 158.
% 242.74/242.88    Following clause subsumed by 247 during input processing: 0 [copy,205,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 242.74/242.88    Following clause subsumed by 213 during input processing: 0 [copy,207,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 242.74/242.88    Following clause subsumed by 172 during input processing: 0 [copy,209,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 242.74/242.88    Following clause subsumed by 207 during input processing: 0 [copy,213,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 242.74/242.88    Following clause subsumed by 205 during input processing: 0 [copy,247,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 242.74/242.88  322 back subsumes 317.
% 242.74/242.88  
% 242.74/242.88  ------------> process sos:
% 242.74/242.88  ** KEPT (pick-wt=3): 393 [] A=A.
% 242.74/242.88  ** KEPT (pick-wt=15): 394 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 242.74/242.88    Following clause subsumed by 394 during input processing: 0 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 242.74/242.88  ** KEPT (pick-wt=29): 395 [] c_Set_Oimage(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B,E)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E)).
% 242.74/242.88  ** KEPT (pick-wt=20): 396 [] 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)).
% 242.74/242.88  ** KEPT (pick-wt=20): 397 [] 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)).
% 242.74/242.88  ** KEPT (pick-wt=20): 398 [] 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)).
% 242.74/242.88  ---> New Demodulator: 399 [new_demod,398] 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)).
% 242.74/242.88  ** KEPT (pick-wt=16): 400 [] 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)).
% 242.74/242.88  ** KEPT (pick-wt=28): 401 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool)),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,E,tc_fun(C,tc_bool)),C,D),tc_fun(D,tc_bool)).
% 242.74/242.88  ** KEPT (pick-wt=22): 402 [] c_Map_Orestrict__map(c_Fun_Ofun__upd(A,B,C,D,tc_Option_Ooption(E)),F,D,E)=c_Map_Orestrict__map(A,F,D,E)|hBOOL(c_in(B,F,D)).
% 242.74/242.88  ** KEPT (pick-wt=24): 403 [] c_Map_Orestrict__map(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B,E)=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,D,B,E),C,hAPP(A,C),B,tc_Option_Ooption(E)).
% 242.74/242.88  ** KEPT (pick-wt=20): 404 [] c_Set_Oimage(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D).
% 242.74/242.88  ---> New Demodulator: 405 [new_demod,404] c_Set_Oimage(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D).
% 242.74/242.88  ** KEPT (pick-wt=20): 407 [copy,406,flip.1] c_Set_Oimage(c_COMBB(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D).
% 242.74/242.88  ---> New Demodulator: 408 [new_demod,407] c_Set_Oimage(c_COMBB(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D).
% 242.74/242.88  ** KEPT (pick-wt=21): 409 [] hAPP(c_Fun_Ofun__upd(A,B,C,t_a,D),v_x)=c_HOL_OIf(hAPP(hAPP(c_fe_qual(t_a),v_x),B),C,hAPP(A,v_x),D).
% 242.74/242.88  ** KEPT (pick-wt=21): 410 [] c_Set_Oimage(c_Fun_Ofun__upd(A,B,C,D,E),F,D,E)=c_Set_Oimage(A,F,D,E)|hBOOL(c_in(B,F,D)).
% 242.74/242.88  ** KEPT (pick-wt=10): 411 [] c_Fun_Ofun__upd(A,B,hAPP(A,B),C,D)=A.
% 242.74/242.88  ---> New Demodulator: 412 [new_demod,411] c_Fun_Ofun__upd(A,B,hAPP(A,B),C,D)=A.
% 242.74/242.88  ** KEPT (pick-wt=10): 413 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),B)=C.
% 242.74/242.88  ---> New Demodulator: 414 [new_demod,413] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),B)=C.
% 242.74/242.88    Following clause subsumed by 393 during input processing: 0 [demod,412] A=A.
% 242.74/242.88    Following clause subsumed by 393 during input processing: 0 [demod,414] C=C.
% 242.74/242.88    Following clause subsumed by 393 during input processing: 0 [demod,412] A=A.
% 242.74/242.88  ** KEPT (pick-wt=18): 415 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),B,F,D,E)=c_Fun_Ofun__upd(A,B,F,D,E).
% 242.74/242.88  ---> New Demodulator: 416 [new_demod,415] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),B,F,D,E)=c_Fun_Ofun__upd(A,B,F,D,E).
% 242.74/242.88  ** KEPT (pick-wt=26): 417 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),F,G,D,E)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,F,G,D,E),B,C,D,E)|B=F.
% 242.74/242.89  ** KEPT (pick-wt=12): 418 [] c_The(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)=B.
% 242.74/242.89  ---> New Demodulator: 419 [new_demod,418] c_The(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)=B.
% 242.74/242.89  ** KEPT (pick-wt=8): 420 [] c_Set_Oimage(c_COMBI(A),B,A,A)=B.
% 242.74/242.89  ---> New Demodulator: 421 [new_demod,420] c_Set_Oimage(c_COMBI(A),B,A,A)=B.
% 242.74/242.89  ** KEPT (pick-wt=25): 423 [copy,422,flip.1] c_Fun_Ofun__upd(c_Fun_Ocomp(A,B,C,D,E),F,hAPP(A,G),E,D)=c_Fun_Ocomp(A,c_Fun_Ofun__upd(B,F,G,E,C),C,D,E).
% 242.74/242.89  ---> New Demodulator: 424 [new_demod,423] c_Fun_Ofun__upd(c_Fun_Ocomp(A,B,C,D,E),F,hAPP(A,G),E,D)=c_Fun_Ocomp(A,c_Fun_Ofun__upd(B,F,G,E,C),C,D,E).
% 242.74/242.89  ** KEPT (pick-wt=8): 425 [] c_Set_Oimage(c_Fun_Oid(A),B,A,A)=B.
% 242.74/242.89  ---> New Demodulator: 426 [new_demod,425] c_Set_Oimage(c_Fun_Oid(A),B,A,A)=B.
% 242.74/242.89  ** KEPT (pick-wt=6): 427 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 242.74/242.89  ** KEPT (pick-wt=13): 428 [] 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)).
% 242.74/242.89  ** KEPT (pick-wt=10): 429 [] c_Finite__Set_Ofold__graph(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),B,C,D).
% 242.74/242.89  ** KEPT (pick-wt=10): 430 [] c_Nitpick_Ofold__graph_H(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),B,C,D).
% 242.74/242.89  ** KEPT (pick-wt=13): 431 [] 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).
% 242.74/242.89  ** KEPT (pick-wt=23): 432 [] c_Set_Oimage(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B,E)=hAPP(hAPP(c_Set_Oinsert(E),hAPP(A,C)),c_Set_Oimage(A,D,B,E)).
% 242.74/242.89  ** KEPT (pick-wt=20): 433 [] c_Collect(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 242.74/242.89  ** KEPT (pick-wt=24): 435 [copy,434,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Collect(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)),C)=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 242.74/242.89  ---> New Demodulator: 436 [new_demod,435] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Collect(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)),C)=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 242.74/242.89  ** KEPT (pick-wt=24): 437 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=hAPP(hAPP(c_Set_Oinsert(B),A),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))|D=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 242.74/242.89  ** KEPT (pick-wt=23): 438 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,C,D),E,c_Option_Ooption_ONone(D),C,tc_Option_Ooption(D))=c_Map_Orestrict__map(A,B,C,D)|hBOOL(c_in(E,B,C)).
% 242.74/242.89  ** KEPT (pick-wt=31): 439 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 242.74/242.89  ---> New Demodulator: 440 [new_demod,439] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 242.74/242.89  ** KEPT (pick-wt=31): 441 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 242.74/242.89  ** KEPT (pick-wt=18): 442 [] 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)).
% 242.74/242.89  ---> New Demodulator: 443 [new_demod,442] 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)).
% 242.74/242.89  ** KEPT (pick-wt=15): 444 [] c_COMBS(A,B,C,D,E,F)=hAPP(hAPP(A,C),hAPP(B,C)).
% 242.74/242.89  ** KEPT (pick-wt=8): 445 [] hAPP(c_COMBK(A,B,C),D)=A.
% 242.74/242.89  ---> New Demodulator: 446 [new_demod,445] hAPP(c_COMBK(A,B,C),D)=A.
% 242.74/242.89  ** KEPT (pick-wt=6): 447 [] hAPP(c_COMBI(A),B)=B.
% 242.74/242.89  ---> New Demodulator: 448 [new_demod,447] hAPP(c_COMBI(A),B)=B.
% 242.74/242.89  ** KEPT (pick-wt=15): 449 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 242.74/242.89  ** KEPT (pick-wt=14): 450 [] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 242.74/242.89  ---> New Demodulator: 451 [new_demod,450] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 242.74/242.89  ** KEPT (pick-wt=17): 452 [] 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.
% 242.74/242.89  ---> New Demodulator: 453 [new_demod,452] 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.
% 242.74/242.89  ** KEPT (pick-wt=10): 454 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 242.74/242.89  ---> New Demodulator: 455 [new_demod,454] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 242.74/242.89  ** KEPT (pick-wt=9): 456 [] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B.
% 242.74/242.89  ---> New Demodulator: 457 [new_demod,456] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B.
% 242.74/242.89  ** KEPT (pick-wt=9): 458 [] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A.
% 242.74/242.89  ---> New Demodulator: 459 [new_demod,458] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A.
% 242.74/242.89  ** KEPT (pick-wt=11): 460 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,C)|hBOOL(hAPP(A,C)).
% 242.74/242.89  ** KEPT (pick-wt=11): 462 [copy,461,flip.1] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 242.74/242.89  ---> New Demodulator: 463 [new_demod,462] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 242.74/242.89  ** KEPT (pick-wt=5): 464 [] c_Collect(A,B)=A.
% 242.74/242.89  ---> New Demodulator: 465 [new_demod,464] c_Collect(A,B)=A.
% 242.74/242.89  ** KEPT (pick-wt=20): 466 [] hAPP(c_Map_Orestrict__map(A,B,t_a,C),v_x)=c_HOL_OIf(c_in(v_x,B,t_a),hAPP(A,v_x),c_Option_Ooption_ONone(C),tc_Option_Ooption(C)).
% 242.74/242.89  ** KEPT (pick-wt=36): 468 [copy,467,flip.1] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Set_Oinsert(C),D),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool)),C,E),D,F,C,tc_Option_Ooption(E))=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,C,E),D,F,C,tc_Option_Ooption(E)).
% 242.74/242.89  ---> New Demodulator: 469 [new_demod,468] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Set_Oinsert(C),D),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool)),C,E),D,F,C,tc_Option_Ooption(E))=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,C,E),D,F,C,tc_Option_Ooption(E)).
% 242.74/242.89  ** KEPT (pick-wt=29): 470 [] c_Finite__Set_Osetsum(A,c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Set_Oinsert(C),D),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool)),C,tc_nat)=c_Finite__Set_Osetsum(A,B,C,tc_nat)|hBOOL(c_in(D,B,C)).
% 242.74/242.89  ** KEPT (pick-wt=13): 471 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)).
% 242.74/242.89  ** KEPT (pick-wt=13): 472 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),A),C),tc_fun(B,tc_bool)).
% 242.74/242.89  ** KEPT (pick-wt=11): 473 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 242.74/242.89  ** KEPT (pick-wt=22): 474 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 242.74/242.89  ---> New Demodulator: 475 [new_demod,474] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 242.74/242.89  ** KEPT (pick-wt=22): 476 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 242.74/242.89  ---> New Demodulator: 477 [new_demod,476] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 242.74/242.89  ** KEPT (pick-wt=32): 479 [copy,478,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(D,C,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D),C,tc_fun(A,tc_bool)).
% 242.74/242.89  ---> New Demodulator: 480 [new_demod,479] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(D,C,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D),C,tc_fun(A,tc_bool)).
% 242.74/242.89  ** KEPT (pick-wt=17): 481 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B).
% 242.74/242.89  ** KEPT (pick-wt=24): 482 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 242.74/242.89  ---> New Demodulator: 483 [new_demod,482] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 242.74/242.89  ** KEPT (pick-wt=28): 485 [copy,484,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,tc_fun(A,tc_bool))|hBOOL(c_in(B,D,A)).
% 242.74/242.89  ** KEPT (pick-wt=6): 486 [] hAPP(c_Fun_Oid(A),B)=B.
% 242.74/242.89  ---> New Demodulator: 487 [new_demod,486] hAPP(c_Fun_Oid(A),B)=B.
% 242.74/242.89    Following clause subsumed by 393 during input processing: 0 [demod,455] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 242.74/242.89  ** KEPT (pick-wt=12): 488 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 242.74/242.89  ** KEPT (pick-wt=14): 489 [] 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)).
% 242.74/242.89  ---> New Demodulator: 490 [new_demod,489] 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)).
% 242.74/242.89  ** KEPT (pick-wt=13): 491 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=B.
% 242.74/242.89  ---> New Demodulator: 492 [new_demod,491] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=B.
% 242.74/242.89  ** KEPT (pick-wt=13): 493 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=B.
% 242.74/242.89  ---> New Demodulator: 494 [new_demod,493] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=B.
% 242.74/242.89  ** KEPT (pick-wt=11): 495 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 242.74/242.89  ** KEPT (pick-wt=11): 496 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 242.74/242.89  ---> New Demodulator: 497 [new_demod,496] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 242.74/242.89  ** KEPT (pick-wt=9): 498 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 242.74/242.89  ** KEPT (pick-wt=26): 499 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),C),hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),tc_fun(A,tc_bool))=C|hBOOL(c_in(B,C,A)).
% 242.74/242.89  ** KEPT (pick-wt=11): 500 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),A),tc_fun(B,tc_bool)).
% 242.74/242.89  ** KEPT (pick-wt=27): 501 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D))=hAPP(hAPP(c_Set_Oinsert(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 242.74/242.89  ** KEPT (pick-wt=27): 502 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),D)=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 242.74/242.89  ---> New Demodulator: 503 [new_demod,502] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),D)=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 242.74/242.89  ** KEPT (pick-wt=10): 504 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 242.74/242.89    Following clause subsumed by 504 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 242.74/242.89    Following clause subsumed by 504 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 242.74/242.89  ** KEPT (pick-wt=13): 505 [] hAPP(c_Fun_Ocomp(c_COMBK(A,B,C),D,C,B,t_a),v_x)=A.
% 242.74/242.89  ---> New Demodulator: 506 [new_demod,505] hAPP(c_Fun_Ocomp(c_COMBK(A,B,C),D,C,B,t_a),v_x)=A.
% 242.74/242.89  ** KEPT (pick-wt=15): 507 [] hAPP(c_Map_Orestrict__map(A,B,C,D),E)=c_Option_Ooption_ONone(D)|hBOOL(c_in(E,B,C)).
% 242.74/242.89  ** KEPT (pick-wt=14): 508 [] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 242.74/242.89  ---> New Demodulator: 509 [new_demod,508] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 242.74/242.89    Following clause subsumed by 393 during input processing: 0 [demod,509] hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 242.74/242.89  ** KEPT (pick-wt=19): 510 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(A,tc_bool))),D)=D.
% 242.74/242.89  ---> New Demodulator: 511 [new_demod,510] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(A,tc_bool))),D)=D.
% 242.74/242.89  ** KEPT (pick-wt=19): 512 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=B.
% 242.74/242.89  ---> New Demodulator: 513 [new_demod,512] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=B.
% 242.74/242.89  ** KEPT (pick-wt=5): 514 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,A,B,A).
% 242.74/242.89  ** KEPT (pick-wt=29): 515 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),hAPP(D,B)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 242.74/242.89  ** KEPT (pick-wt=14): 516 [] hAPP(c_Fun_Ofcomp(A,B,C,D,E),F)=hAPP(B,hAPP(A,F)).
% 242.74/242.89  ---> New Demodulator: 517 [new_demod,516] hAPP(c_Fun_Ofcomp(A,B,C,D,E),F)=hAPP(B,hAPP(A,F)).
% 242.74/242.89  ** KEPT (pick-wt=23): 519 [copy,518,flip.1] c_Fun_Ocomp(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Fun_Ocomp(A,c_Fun_Ocomp(B,F,E,C,G),C,D,G).
% 242.74/242.89  ---> New Demodulator: 520 [new_demod,519] c_Fun_Ocomp(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Fun_Ocomp(A,c_Fun_Ocomp(B,F,E,C,G),C,D,G).
% 242.74/242.89  ** KEPT (pick-wt=9): 521 [] c_Fun_Ofcomp(A,c_Fun_Oid(B),C,B,B)=A.
% 242.74/242.89  ---> New Demodulator: 522 [new_demod,521] c_Fun_Ofcomp(A,c_Fun_Oid(B),C,B,B)=A.
% 242.74/242.89  ** KEPT (pick-wt=9): 523 [] c_Fun_Ofcomp(c_Fun_Oid(A),B,A,A,C)=B.
% 242.74/242.89  ---> New Demodulator: 524 [new_demod,523] c_Fun_Ofcomp(c_Fun_Oid(A),B,A,A,C)=B.
% 242.74/242.89  ** KEPT (pick-wt=6): 525 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 242.74/242.89    Following clause subsumed by 525 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 242.74/242.89  ** KEPT (pick-wt=35): 526 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,A,tc_fun(E,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 242.74/242.89  ** KEPT (pick-wt=8): 527 [] c_The(hAPP(c_fe_qual(A),B),A)=B.
% 242.74/242.89  ---> New Demodulator: 528 [new_demod,527] c_The(hAPP(c_fe_qual(A),B),A)=B.
% 242.74/242.89  ** KEPT (pick-wt=23): 529 [] c_Fun_Ofcomp(c_Fun_Ofcomp(A,B,C,D,E),F,C,E,G)=c_Fun_Ofcomp(A,c_Fun_Ofcomp(B,F,D,E,G),C,D,G).
% 242.74/242.89  ---> New Demodulator: 530 [new_demod,529] c_Fun_Ofcomp(c_Fun_Ofcomp(A,B,C,D,E),F,C,E,G)=c_Fun_Ofcomp(A,c_Fun_Ofcomp(B,F,D,E,G),C,D,G).
% 242.74/242.89  ** KEPT (pick-wt=7): 531 [] c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(A),A,tc_fun(A,tc_bool)).
% 242.74/242.89  ** KEPT (pick-wt=13): 532 [] hAPP(c_Map_Orestrict__map(A,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,B),v_x)=c_Option_Ooption_ONone(B).
% 242.74/242.89    Following clause subsumed by 393 during input processing: 0 [demod,509] hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)).
% 242.74/242.89    Following clause subsumed by 393 during input processing: 0 [demod,487] v_x=v_x.
% 242.74/242.89    Following clause subsumed by 393 during input processing: 0 [demod,517] hAPP(B,hAPP(A,v_x))=hAPP(B,hAPP(A,v_x)).
% 242.74/242.89  ** KEPT (pick-wt=17): 533 [] c_Hoare__Mirabelle_Otriple_Otriple__rec(A,c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,E),E,F)=hAPP(hAPP(hAPP(A,B),C),D).
% 242.74/242.89  ** KEPT (pick-wt=17): 534 [] c_Hoare__Mirabelle_Otriple_Otriple__case(A,c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,E),E,F)=hAPP(hAPP(hAPP(A,B),C),D).
% 242.74/242.89  ** KEPT (pick-wt=32): 535 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(A,B,D,C))).
% 242.74/242.89  ** KEPT (pick-wt=32): 536 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(A,B,D,C))).
% 242.74/242.89  ** KEPT (pick-wt=32): 537 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xescape__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xescape__2(A,B,D,C))).
% 242.74/242.89  ** KEPT (pick-wt=7): 538 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),A),A)).
% 242.74/242.89  ** KEPT (pick-wt=13): 539 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),C))|hBOOL(hAPP(A,C)).
% 242.74/242.89  ** KEPT (pick-wt=8): 540 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),B).
% 242.74/242.89    Following clause subsumed by 393 during input processing: 0 [demod,448] v_P=v_P.
% 242.74/242.89    Following clause subsumed by 393 during input processing: 0 [demod,451] hAPP(v_P,hAPP(v_Q,v_R))=hAPP(v_P,hAPP(v_Q,v_R)).
% 242.74/242.89  ** KEPT (pick-wt=15): 542 [copy,541,flip.1] hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R))=c_COMBS(v_P,v_Q,v_R,t_a,t_b,t_c).
% 242.74/242.89  ---> New Demodulator: 543 [new_demod,542] hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R))=c_COMBS(v_P,v_Q,v_R,t_a,t_b,t_c).
% 242.74/242.89    Following clause subsumed by 449 during input processing: 0 [] hAPP(hAPP(c_COMBC(v_P,t_a,t_b,t_c),v_Q),v_R)=hAPP(hAPP(v_P,v_R),v_Q).
% 242.74/242.89  ** KEPT (pick-wt=18): 544 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OSKIP,C,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 242.74/242.89  ** KEPT (pick-wt=14): 546 [copy,545,demod,465] hAPP(c_fe_qual(A),B)=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 242.74/242.89    Following clause subsumed by 504 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),B)).
% 242.74/242.89  ** KEPT (pick-wt=22): 547 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(
% 242.74/242.89  Search stopped in tp_alloc by max_mem option.
% 242.74/242.89  hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A))).
% 242.74/242.89  ** KEPT (pick-wt=25): 548 [] hAPP(hAPP(c_Set_Oinsert(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 242.74/242.89  ** KEPT (pick-wt=15): 549 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),B),C)).
% 242.74/242.89  ** KEPT (pick-wt=13): 550 [] c_The(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 242.74/242.89  ---> New Demodulator: 551 [new_demod,550] c_The(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 242.74/242.89  ** KEPT (pick-wt=31): 552 [] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 242.74/242.89  
% 242.74/242.89  Search stopped in tp_alloc by max_mem option.
% 242.74/242.89  
% 242.74/242.89  ============ end of search ============
% 242.74/242.89  
% 242.74/242.89  -------------- statistics -------------
% 242.74/242.89  clauses given                  0
% 242.74/242.89  clauses generated             61
% 242.74/242.89  clauses kept                 492
% 242.74/242.89  clauses forward subsumed      82
% 242.74/242.89  clauses back subsumed          4
% 242.74/242.89  Kbytes malloced            11718
% 242.74/242.89  
% 242.74/242.89  ----------- times (seconds) -----------
% 242.74/242.89  user CPU time          0.08          (0 hr, 0 min, 0 sec)
% 242.74/242.89  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 242.74/242.89  wall-clock time      243             (0 hr, 4 min, 3 sec)
% 242.74/242.89  
% 242.74/242.89  Process 14693 finished Wed Jul 27 06:26:32 2022
% 242.74/242.89  Otter interrupted
% 242.74/242.89  PROOF NOT FOUND
%------------------------------------------------------------------------------