TSTP Solution File: SWV848-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV848-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:21:40 EDT 2022
% Result : Unsatisfiable 66.83s 66.96s
% Output : Refutation 66.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 5 ( 4 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(274,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(A,B),
file('SWV848-1.p',unknown),
[] ).
cnf(275,plain,
c_Com_Ocom_OWhile(A,B) != c_Com_Ocom_OSKIP,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[274])]),
[iquote('copy,274,flip.1')] ).
cnf(481,axiom,
c_Com_Ocom_OSKIP = c_Com_Ocom_OWhile(v_b,v_c),
file('SWV848-1.p',unknown),
[] ).
cnf(482,plain,
c_Com_Ocom_OWhile(v_b,v_c) = c_Com_Ocom_OSKIP,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[481])]),
[iquote('copy,481,flip.1')] ).
cnf(484,plain,
$false,
inference(binary,[status(thm)],[482,275]),
[iquote('binary,482.1,275.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV848-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 06:06:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 66.79/66.93 ----- Otter 3.3f, August 2004 -----
% 66.79/66.93 The process was started by sandbox2 on n018.cluster.edu,
% 66.79/66.93 Wed Jul 27 06:06:16 2022
% 66.79/66.93 The command was "./otter". The process ID is 14633.
% 66.79/66.93
% 66.79/66.93 set(prolog_style_variables).
% 66.79/66.93 set(auto).
% 66.79/66.93 dependent: set(auto1).
% 66.79/66.93 dependent: set(process_input).
% 66.79/66.93 dependent: clear(print_kept).
% 66.79/66.93 dependent: clear(print_new_demod).
% 66.79/66.93 dependent: clear(print_back_demod).
% 66.79/66.93 dependent: clear(print_back_sub).
% 66.79/66.93 dependent: set(control_memory).
% 66.79/66.93 dependent: assign(max_mem, 12000).
% 66.79/66.93 dependent: assign(pick_given_ratio, 4).
% 66.79/66.93 dependent: assign(stats_level, 1).
% 66.79/66.93 dependent: assign(max_seconds, 10800).
% 66.79/66.93 clear(print_given).
% 66.79/66.93
% 66.79/66.93 list(usable).
% 66.79/66.93 0 [] A=A.
% 66.79/66.93 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)).
% 66.79/66.93 0 [] c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1)| -c_Natural_Oevalc(V_c0,V_s,V_s1)| -hBOOL(hAPP(V_b,V_s)).
% 66.79/66.93 0 [] -hBOOL(hAPP(V_b,V_s))|c_Natural_Oevalc(V_c1,V_s,V_t)| -c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t).
% 66.79/66.93 0 [] c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_s2)| -c_Natural_Oevalc(V_c1,V_s1,V_s2)| -c_Natural_Oevalc(V_c0,V_s0,V_s1).
% 66.79/66.93 0 [] c_Com_OWT(c_Com_Ocom_OAss(V_X,V_a)).
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 66.79/66.93 0 [] c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a)=hAPP(hAPP(V_f2,V_vname),V_fun).
% 66.79/66.93 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 66.79/66.93 0 [] hAPP(c_COMBI(T_a),V_P)=V_P.
% 66.79/66.93 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).
% 66.79/66.93 0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a)=c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a)=hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun).
% 66.79/66.93 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 66.79/66.93 0 [] c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a)=V_g.
% 66.79/66.93 0 [] c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a)=V_f.
% 66.79/66.93 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 66.79/66.93 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 66.79/66.93 0 [] V_b=V_a| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))).
% 66.79/66.93 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 66.79/66.93 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 66.79/66.93 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(hAPP(hAPP(c_in(T_a),V_i),V_A)).
% 66.79/66.93 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 66.79/66.93 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OBODY(V_pname).
% 66.79/66.93 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a)=hAPP(hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)).
% 66.79/66.93 0 [] c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a)=V_Y.
% 66.79/66.93 0 [] c_Com_Ocom_OCall(V_vname,V_pname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)|V_fun=V_fun_H.
% 66.79/66.93 0 [] c_Com_Ocom_OCall(V_vname,V_pname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)|V_pname=V_pname_H.
% 66.79/66.93 0 [] c_Com_Ocom_OCall(V_vname,V_pname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)|V_vname=V_vname_H.
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a)=hAPP(hAPP(hAPP(hAPP(V_f4,V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)).
% 66.79/66.93 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).
% 66.79/66.93 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 66.79/66.93 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)).
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a).
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 66.79/66.93 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OBODY(V_pname_H).
% 66.79/66.93 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 66.79/66.93 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 66.79/66.93 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 66.79/66.93 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 66.79/66.93 0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_aa),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a))).
% 66.79/66.93 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 66.79/66.93 0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)=c_Set_Oinsert(V_x,V_A,T_a).
% 66.79/66.93 0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 66.79/66.93 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 66.79/66.93 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(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 66.79/66.93 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 66.79/66.93 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 66.79/66.93 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 66.79/66.93 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=c_Orderings_Obot__class_Obot(T_a).
% 66.79/66.93 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_k),V_I)).
% 66.79/66.93 0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))=hAPP(hAPP(V_sup,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 66.79/66.93 0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))=hAPP(hAPP(V_inf,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 66.79/66.93 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.
% 66.79/66.93 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.
% 66.79/66.93 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.
% 66.79/66.93 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 66.79/66.93 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)).
% 66.79/66.93 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).
% 66.79/66.93 0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y.
% 66.79/66.93 0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H.
% 66.79/66.93 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H).
% 66.79/66.93 0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 66.79/66.93 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 66.79/66.93 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 66.79/66.93 0 [] c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0).
% 66.79/66.93 0 [] c_Set_Ovimage(c_COMBI(T_a),V_Y,T_a,T_a)=V_Y.
% 66.79/66.93 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 66.79/66.93 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 66.79/66.93 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 66.79/66.93 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(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 66.79/66.93 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=V_x.
% 66.79/66.93 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=V_x.
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 66.79/66.93 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 66.79/66.93 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 66.79/66.93 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=V_x.
% 66.79/66.93 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 66.79/66.93 0 [] V_m=V_n| -c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 66.79/66.93 0 [] V_u=V_t| -c_Natural_Oevalc(V_c,V_s,V_u)| -c_Natural_Oevalc(V_c,V_s,V_t).
% 66.79/66.93 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).
% 66.79/66.93 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).
% 66.79/66.93 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).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=V_x.
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_x,V_y,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)!=V_x|c_lesse_quals(V_x,V_y,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_y,V_x,T_a).
% 66.79/66.93 0 [] c_Com_OWT(c_Com_Ocom_OCall(V_X,V_pn,V_a))| -c_Com_OWT(c_Com_Ocom_OBODY(V_pn)).
% 66.79/66.93 0 [] c_Com_OWT(c_Com_Ocom_OBODY(V_P))| -c_Com_OWT(c_Com_Ocom_OCall(V_X,V_P,V_a)).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 66.79/66.93 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 66.79/66.93 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).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a).
% 66.79/66.93 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 66.79/66.93 0 [] c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)!=c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_a=V_b.
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)).
% 66.79/66.93 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OBODY(V_pname_H).
% 66.79/66.93 0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 66.79/66.93 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 66.79/66.93 0 [] -c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_n),V_m,tc_nat).
% 66.79/66.93 0 [] c_lesse_quals(c_Suc(V_n),V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 66.79/66.93 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 66.79/66.93 0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 66.79/66.93 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 66.79/66.93 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)).
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 66.79/66.93 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 66.79/66.93 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).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 66.79/66.93 0 [] c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a)=V_A.
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a)=hAPP(hAPP(V_f4,V_com1),V_com2).
% 66.79/66.93 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 66.79/66.93 0 [] c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b)=c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c).
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 66.79/66.93 0 [] c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a)=V_Y.
% 66.79/66.93 0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OBODY(V_pname_H)|V_pname=V_pname_H.
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a)=hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun).
% 66.79/66.93 0 [] c_Set_Oinsert(V_a,V_A,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_lesse_quals(c_Suc(V_n),c_Suc(V_n),tc_nat).
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 66.79/66.93 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).
% 66.79/66.93 0 [] c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c))| -c_Com_OWT(V_c).
% 66.79/66.93 0 [] c_Com_OWT(V_c)| -c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c)).
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OBODY(V_pname),T_a)=hAPP(V_f7,V_pname).
% 66.79/66.93 0 [] c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 66.79/66.93 0 [] V_m=c_Suc(V_n)|c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(V_m,c_Suc(V_n),tc_nat).
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a)=hAPP(hAPP(V_f2,V_vname),V_fun).
% 66.79/66.93 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 66.79/66.93 0 [] hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 66.79/66.93 0 [] hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 66.79/66.93 0 [] hAPP(c_Fun_Oid(T_a),V_x)=V_x.
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a)=hAPP(hAPP(hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)).
% 66.79/66.93 0 [] c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__e_q,V_less,V_l,V_u,T_a)))| -hBOOL(hAPP(hAPP(V_less,V_i),V_u))| -hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a)))| -hBOOL(hAPP(hAPP(V_less__e_q,V_i),V_u))| -hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)).
% 66.79/66.93 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 66.79/66.93 0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 66.79/66.93 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 66.79/66.93 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))|V_a=V_b| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))|hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 66.79/66.93 0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a)))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 66.79/66.93 0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 66.79/66.93 0 [] hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R)!=hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S)|V_R=V_S.
% 66.79/66.93 0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|V_A=V_B.
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_x)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 66.79/66.93 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_a=V_c.
% 66.79/66.93 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_a=V_c.
% 66.79/66.93 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_b=V_d.
% 66.79/66.93 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_b=V_d.
% 66.79/66.93 0 [] c_Natural_Oevalc(V_c2,V_s,V_t)|hBOOL(hAPP(V_b,V_s))| -c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t).
% 66.79/66.93 0 [] c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1)| -c_Natural_Oevalc(V_c1,V_s,V_s1)|hBOOL(hAPP(V_b,V_s)).
% 66.79/66.93 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 66.79/66.93 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.
% 66.79/66.93 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.
% 66.79/66.93 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.
% 66.79/66.93 0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)).
% 66.79/66.93 0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(V_P,V_xa))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 66.79/66.93 0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 66.79/66.93 0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 66.79/66.93 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a)=hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com).
% 66.79/66.93 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)).
% 66.79/66.93 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 66.79/66.93 0 [] c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a)=c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a).
% 66.79/66.93 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)).
% 66.79/66.93 0 [] hAPP(V_f,V_a)=V_b| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b))).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 66.79/66.93 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).
% 66.79/66.93 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_fun=V_fun_H.
% 66.79/66.93 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_vname=V_vname_H.
% 66.79/66.93 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 66.79/66.93 0 [] c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 66.79/66.93 0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_m),V_n,tc_nat).
% 66.79/66.93 0 [] c_lesse_quals(V_m,c_Suc(V_n),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 66.79/66.93 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a).
% 66.79/66.93 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 66.79/66.93 0 [] -c_lesse_quals(c_Suc(V_n),V_n,tc_nat).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 66.79/66.93 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_com=V_com_H.
% 66.79/66.93 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_fun=V_fun_H.
% 66.79/66.93 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_loc=V_loc_H.
% 66.79/66.93 0 [] c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0).
% 66.79/66.93 0 [] c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b)=V_f.
% 66.79/66.93 0 [] c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b)=V_g.
% 66.79/66.93 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).
% 66.79/66.93 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).
% 66.79/66.93 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).
% 66.79/66.93 0 [] c_Suc(V_n)!=V_n.
% 66.79/66.93 0 [] V_n!=c_Suc(V_n).
% 66.79/66.93 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 66.79/66.93 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 66.79/66.93 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 66.79/66.93 0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 66.79/66.93 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).
% 66.79/66.93 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).
% 66.79/66.93 0 [] c_lesse_quals(V_n,V_n,tc_nat).
% 66.79/66.93 0 [] c_lesse_quals(V_i,V_k,tc_nat)| -c_lesse_quals(V_j,V_k,tc_nat)| -c_lesse_quals(V_i,V_j,tc_nat).
% 66.79/66.93 0 [] c_lesse_quals(V_x,V_x,tc_nat).
% 66.79/66.93 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 66.79/66.93 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 66.79/66.93 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)).
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OBODY(V_pname),T_a)=hAPP(V_f7,V_pname).
% 66.79/66.93 0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 66.79/66.93 0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))).
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a)=hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2).
% 66.79/66.93 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)).
% 66.79/66.93 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).
% 66.79/66.93 0 [] c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] hBOOL(hAPP(V_A,hAPP(V_f,V_x)))| -hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)).
% 66.79/66.93 0 [] hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))| -hBOOL(hAPP(V_A,hAPP(V_f,V_x))).
% 66.79/66.93 0 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(V_A,V_x)).
% 66.79/66.93 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 66.79/66.93 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 66.79/66.93 0 [] c_Natural_Oevalc(V_c2,V_s,V_t)|c_Natural_Oevalc(V_c1,V_s,V_t)| -c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t).
% 66.79/66.93 0 [] c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(c_Suc(V_n),c_Suc(V_m),tc_nat).
% 66.79/66.93 0 [] c_lesse_quals(c_Suc(V_n),c_Suc(V_m),tc_nat)| -c_lesse_quals(V_n,V_m,tc_nat).
% 66.79/66.93 0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)).
% 66.79/66.93 0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)).
% 66.79/66.93 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).
% 66.79/66.93 0 [] c_lesse_quals(V_n,V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 66.79/66.93 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(V_less__e_q,hAPP(V_Inf,V_A)),V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),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).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),hAPP(V_Sup,V_A)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),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).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_i),V_u))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a))).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a))).
% 66.79/66.93 0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 66.79/66.93 0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)))| -hBOOL(hAPP(V_P,V_xa))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a)),V_A))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 66.79/66.93 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a)))| -hBOOL(hAPP(hAPP(V_less,V_i),V_k)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(V_less,V_i),V_k))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a))).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_fun(T_c,tc_bool))),V_b),V_c))| -hBOOL(hAPP(hAPP(hAPP(V_B,V_x),V_b),V_c))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 66.79/66.93 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(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_fun(T_c,tc_bool))),V_b),V_c))| -hBOOL(hAPP(hAPP(hAPP(V_B,V_a),V_b),V_c))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 66.79/66.93 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(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(V_less,V_i),V_u))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__e_q,V_less,V_l,V_u,T_a))).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__e_q,V_less,V_l,V_u,T_a))).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a)),V_A))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a)))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 66.79/66.93 0 [] -hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_aa,T_a))).
% 66.79/66.93 0 [] -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 66.79/66.93 0 [] hAPP(c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_R),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_S),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(V_R,V_S,tc_fun(t_a,tc_bool))).
% 66.79/66.93 0 [] hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_R),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_S),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(t_a,tc_bool))).
% 66.79/66.93 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)).
% 66.79/66.93 0 [] hAPP(c_Fun_Oid(t_a),v_x)=v_x.
% 66.79/66.93 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)).
% 66.79/66.93 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 66.79/66.93 0 [] c_Com_Ocom_OAss(V_vname_H,V_fun_H)!=c_Com_Ocom_OSKIP.
% 66.79/66.93 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSKIP.
% 66.79/66.93 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OSKIP.
% 66.79/66.93 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 66.79/66.93 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 66.79/66.93 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OAss(V_vname_H,V_fun_H).
% 66.79/66.93 0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 66.79/66.93 0 [] c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s).
% 66.79/66.93 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H).
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a)=V_f1.
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a)=V_f1.
% 66.79/66.93 0 [] c_Com_OWT(c_Com_Ocom_OSKIP).
% 66.79/66.93 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 66.79/66.93 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 66.79/66.93 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OBODY(V_pname_H).
% 66.79/66.93 0 [] V_t=V_s| -c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_t).
% 66.79/66.93 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OBODY(V_pname_H).
% 66.79/66.93 0 [] hBOOL(hAPP(V_b,V_s))|V_t=V_s| -c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_t).
% 66.79/66.93 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a)=hAPP(hAPP(V_f6,V_fun),V_com).
% 66.79/66.93 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 66.79/66.93 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 66.79/66.93 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 66.79/66.93 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 66.79/66.93 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 66.79/66.93 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 66.79/66.93 0 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_s)|hBOOL(hAPP(V_b,V_s)).
% 66.79/66.93 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 66.79/66.93 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OWhile(V_fun,V_com).
% 66.79/66.93 0 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_s2)| -c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_s2)| -c_Natural_Oevalc(V_c,V_s0,V_s1)| -hBOOL(hAPP(V_b,V_s0)).
% 66.79/66.93 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OWhile(V_fun,V_com).
% 66.79/66.93 0 [] c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c))| -c_Com_OWT(V_c).
% 66.79/66.93 0 [] c_Com_OWT(V_c)| -c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c)).
% 66.79/66.93 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 66.79/66.93 0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a)=hAPP(hAPP(hAPP(V_f6,V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)).
% 66.79/66.93 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).
% 66.79/66.93 0 [] c_Natural_Oevaln(V_c,V_s,V_m,V_t)| -c_lesse_quals(V_n,V_m,tc_nat)| -c_Natural_Oevaln(V_c,V_s,V_n,V_t).
% 66.79/66.93 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)).
% 66.79/66.93 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).
% 66.79/66.93 0 [] c_Natural_Oevaln(V_c,V_s,c_Suc(V_n),V_s_H)| -c_Natural_Oevaln(V_c,V_s,V_n,V_s_H).
% 66.79/66.93 0 [] c_Natural_Oevaln(V_c2,V_s2,c_Natural_Osko__Natural__Xevaln__max2__1__1(V_c1,V_c2,V_s1,V_s2,V_t1,V_t2),V_t2)| -c_Natural_Oevaln(V_c2,V_s2,V_n2,V_t2)| -c_Natural_Oevaln(V_c1,V_s1,V_n1,V_t1).
% 66.79/66.93 0 [] c_Natural_Oevaln(V_c1,V_s1,c_Natural_Osko__Natural__Xevaln__max2__1__1(V_c1,V_c2,V_s1,V_s2,V_t1,V_t2),V_t1)| -c_Natural_Oevaln(V_c2,V_s2,V_n2,V_t2)| -c_Natural_Oevaln(V_c1,V_s1,V_n1,V_t1).
% 66.79/66.93 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)).
% 66.79/66.93 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).
% 66.79/66.93 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).
% 66.79/66.93 0 [] c_Natural_Oevalc(V_c,V_s,V_t)| -c_Natural_Oevaln(V_c,V_s,V_n,V_t).
% 66.79/66.93 0 [] c_Natural_Oevalc(V_c,V_s,V_t)| -c_Natural_Oevaln(V_c,V_s,V_x,V_t).
% 66.79/66.93 0 [] hAPP(c_COMBI(t_a),v_P)=v_P.
% 66.79/66.93 0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_t,T_a)| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),V_t,T_a).
% 66.79/66.93 0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_na,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_na),V_ts))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G,V_n)),V_G))| -c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a).
% 66.79/66.93 0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_xa,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xa),V_ts))| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n,V_ts),t_a).
% 66.79/66.93 0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a)|c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(V_G,V_ts),V_x,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),V_G)).
% 66.79/66.93 0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_nb,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nb),V_ts))| -c_Hoare__Mirabelle_Otriple__valid(V_n,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G,V_n),t_a)| -c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a).
% 66.79/66.93 0 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))).
% 66.79/66.93 0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(V_b,V_c,V_n,V_s,V_t),V_n,V_t)| -hBOOL(hAPP(V_b,V_s))| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t).
% 66.79/66.93 0 [] c_Natural_Oevaln(V_c,V_s,V_n,c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(V_b,V_c,V_n,V_s,V_t))|V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t).
% 66.79/66.93 0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(V_b,V_c,V_n,V_s,V_t),V_n,V_t)|V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t).
% 66.79/66.93 0 [] c_Natural_Oevaln(V_c,V_s,V_n,c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(V_b,V_c,V_n,V_s,V_t))| -hBOOL(hAPP(V_b,V_s))| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(V_Q,V_Z),V_s_H))| -c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)| -hBOOL(hAPP(hAPP(V_P,V_Z),V_s))| -c_Hoare__Mirabelle_Otriple__valid(V_n,c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),t_a).
% 66.79/66.93 0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_x,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),V_ts))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n,V_ts)),V_ts)).
% 66.79/66.93 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).
% 66.79/66.93 0 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s).
% 66.79/66.93 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 66.79/66.93 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 66.79/66.93 0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_s)|hBOOL(hAPP(V_b,V_s)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))| -hBOOL(hAPP(V_S,V_x)).
% 66.79/66.93 0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)).
% 66.79/66.93 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)).
% 66.79/66.93 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_fun=V_fun_H.
% 66.79/66.93 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_com=V_com_H.
% 66.79/66.93 0 [] V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t).
% 66.79/66.93 0 [] c_Com_Ocom_OSKIP=c_Com_Ocom_OWhile(v_b,v_c).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(v_P,v_x),v_sa)).
% 66.79/66.93 0 [] c_Hoare__Mirabelle_Otriple__valid(v_na,V_xa,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xa),v_G)).
% 66.79/66.93 0 [] hBOOL(hAPP(v_b,v_sa))| -hBOOL(hAPP(hAPP(v_P,v_x),v_sa)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(v_P,V_Z),V_s_H))| -c_Natural_Oevaln(v_c,V_s,V_n,V_s_H)| -hBOOL(hAPP(v_b,V_s))| -hBOOL(hAPP(hAPP(v_P,V_Z),V_s))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_nb(V_n)),v_G)).
% 66.79/66.93 0 [] hBOOL(hAPP(hAPP(v_P,V_Za),V_s_Ha))| -c_Natural_Oevaln(v_c,V_sa,V_n,V_s_Ha)| -hBOOL(hAPP(v_b,V_sa))| -hBOOL(hAPP(hAPP(v_P,V_Za),V_sa))| -c_Hoare__Mirabelle_Otriple__valid(V_n,v_nb(V_n),t_a).
% 66.79/66.93 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 66.79/66.93 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 66.79/66.93 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 66.79/66.93 0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 66.79/66.93 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 66.79/66.93 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 66.79/66.93 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 66.79/66.93 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 66.79/66.93 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 66.79/66.93 0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 66.79/66.93 0 [] class_Lattices_Olower__semilattice(tc_nat).
% 66.79/66.93 0 [] class_Lattices_Odistrib__lattice(tc_nat).
% 66.79/66.93 0 [] class_Orderings_Opreorder(tc_nat).
% 66.79/66.93 0 [] class_Orderings_Olinorder(tc_nat).
% 66.79/66.93 0 [] class_Lattices_Olattice(tc_nat).
% 66.79/66.93 0 [] class_Orderings_Oorder(tc_nat).
% 66.79/66.93 0 [] class_Orderings_Obot(tc_nat).
% 66.79/66.93 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 66.79/66.93 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 66.79/66.93 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 66.79/66.93 0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 66.79/66.93 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 66.79/66.93 0 [] class_Orderings_Opreorder(tc_bool).
% 66.79/66.93 0 [] class_Lattices_Olattice(tc_bool).
% 66.79/66.93 0 [] class_Orderings_Oorder(tc_bool).
% 66.79/66.93 0 [] class_Orderings_Obot(tc_bool).
% 66.79/66.93 0 [] c_fe_qual(V_x,V_x,T_a).
% 66.79/66.93 0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 66.79/66.93 end_of_list.
% 66.79/66.93
% 66.79/66.93 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 66.79/66.93
% 66.79/66.93 This ia a non-Horn set with equality. The strategy will be
% 66.79/66.93 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 66.79/66.93 deletion, with positive clauses in sos and nonpositive
% 66.79/66.93 clauses in usable.
% 66.79/66.93
% 66.79/66.93 dependent: set(knuth_bendix).
% 66.79/66.93 dependent: set(anl_eq).
% 66.79/66.93 dependent: set(para_from).
% 66.79/66.93 dependent: set(para_into).
% 66.79/66.93 dependent: clear(para_from_right).
% 66.79/66.93 dependent: clear(para_into_right).
% 66.79/66.93 dependent: set(para_from_vars).
% 66.79/66.93 dependent: set(eq_units_both_ways).
% 66.79/66.93 dependent: set(dynamic_demod_all).
% 66.79/66.93 dependent: set(dynamic_demod).
% 66.79/66.93 dependent: set(order_eq).
% 66.79/66.93 dependent: set(back_demod).
% 66.79/66.93 dependent: set(lrpo).
% 66.79/66.93 dependent: set(hyper_res).
% 66.79/66.93 dependent: set(unit_deletion).
% 66.79/66.93 dependent: set(factor).
% 66.79/66.93
% 66.79/66.93 ------------> process usable:
% 66.79/66.93 ** KEPT (pick-wt=15): 1 [] c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C),D,E)| -c_Natural_Oevalc(B,D,E)| -hBOOL(hAPP(A,D)).
% 66.79/66.93 ** KEPT (pick-wt=15): 2 [] -hBOOL(hAPP(A,B))|c_Natural_Oevalc(C,B,D)| -c_Natural_Oevalc(c_Com_Ocom_OCond(A,C,E),B,D).
% 66.79/66.93 ** KEPT (pick-wt=14): 3 [] c_Natural_Oevalc(c_Com_Ocom_OSemi(A,B),C,D)| -c_Natural_Oevalc(B,E,D)| -c_Natural_Oevalc(A,C,E).
% 66.79/66.93 ** KEPT (pick-wt=17): 4 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 66.79/66.93 ** KEPT (pick-wt=17): 5 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 66.79/66.93 ** KEPT (pick-wt=17): 6 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 66.83/66.94 ** KEPT (pick-wt=6): 7 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 66.83/66.94 ** KEPT (pick-wt=8): 8 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 66.83/66.94 ** KEPT (pick-wt=8): 9 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 66.83/66.94 ** KEPT (pick-wt=20): 11 [copy,10,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 66.83/66.94 ** KEPT (pick-wt=20): 13 [copy,12,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 66.83/66.94 ** KEPT (pick-wt=19): 14 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(B,v_x),hAPP(C,v_x),A).
% 66.83/66.94 ** KEPT (pick-wt=16): 15 [] A=B| -hBOOL(hAPP(hAPP(c_in(C),A),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))).
% 66.83/66.94 ** KEPT (pick-wt=6): 16 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 66.83/66.94 ** KEPT (pick-wt=9): 17 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 66.83/66.94 ** KEPT (pick-wt=19): 18 [] -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(hAPP(hAPP(c_in(E),C),D)).
% 66.83/66.94 ** KEPT (pick-wt=9): 19 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 66.83/66.94 ** KEPT (pick-wt=7): 20 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OBODY(D).
% 66.83/66.94 ** KEPT (pick-wt=7): 21 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 66.83/66.94 ** KEPT (pick-wt=12): 22 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|C=F.
% 66.83/66.94 ** KEPT (pick-wt=12): 23 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|B=E.
% 66.83/66.94 ** KEPT (pick-wt=12): 24 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|A=D.
% 66.83/66.94 ** KEPT (pick-wt=11): 25 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 66.83/66.94 ** KEPT (pick-wt=7): 26 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OLocal(B,C,D).
% 66.83/66.94 ** KEPT (pick-wt=16): 27 [] 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)).
% 66.83/66.94 ** KEPT (pick-wt=6): 28 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OBODY(C).
% 66.83/66.94 ** KEPT (pick-wt=7): 29 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 66.83/66.94 ** KEPT (pick-wt=10): 30 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 66.83/66.94 ** KEPT (pick-wt=10): 31 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 66.83/66.94 ** KEPT (pick-wt=8): 32 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 66.83/66.94 ** KEPT (pick-wt=9): 33 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 66.83/66.94 ** KEPT (pick-wt=8): 34 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 66.83/66.94 ** KEPT (pick-wt=8): 35 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 66.83/66.94 ** KEPT (pick-wt=14): 36 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 66.83/66.94 ** KEPT (pick-wt=27): 37 [] 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(hAPP(hAPP(c_in(C),E),A)).
% 66.83/66.94 ** KEPT (pick-wt=6): 38 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OAss(B,C).
% 66.83/66.94 ** KEPT (pick-wt=9): 39 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 66.83/66.94 ** KEPT (pick-wt=10): 40 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Orderings_Obot__class_Obot(A),A)=c_Orderings_Obot__class_Obot(A).
% 66.83/66.94 ** KEPT (pick-wt=10): 41 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(A),B,A)=c_Orderings_Obot__class_Obot(A).
% 66.83/66.94 ** KEPT (pick-wt=8): 42 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 66.83/66.94 ** KEPT (pick-wt=29): 43 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),B),C)).
% 66.83/66.94 ** KEPT (pick-wt=28): 44 [] hAPP(A,c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D))=hAPP(hAPP(E,B),C)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,D).
% 66.83/66.94 ** KEPT (pick-wt=28): 45 [] hAPP(A,c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D))=hAPP(hAPP(E,B),C)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,D).
% 66.83/66.94 ** KEPT (pick-wt=12): 46 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|C=F.
% 66.83/66.94 ** KEPT (pick-wt=12): 47 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|B=E.
% 66.83/66.94 ** KEPT (pick-wt=12): 48 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|A=D.
% 66.83/66.94 ** KEPT (pick-wt=9): 49 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 66.83/66.94 ** KEPT (pick-wt=8): 50 [] c_Suc(A)!=c_Suc(B)|A=B.
% 66.83/66.94 Following clause subsumed by 50 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B.
% 66.83/66.94 ** KEPT (pick-wt=8): 51 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 66.83/66.94 ** KEPT (pick-wt=17): 52 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 66.83/66.94 ** KEPT (pick-wt=13): 53 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 66.83/66.94 ** KEPT (pick-wt=13): 54 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 66.83/66.94 ** KEPT (pick-wt=9): 55 [] c_Com_OWT(c_Com_Ocom_OCond(A,B,C))| -c_Com_OWT(C)| -c_Com_OWT(B).
% 66.83/66.94 ** KEPT (pick-wt=7): 56 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 66.83/66.94 ** KEPT (pick-wt=7): 57 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 66.83/66.94 ** KEPT (pick-wt=17): 58 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 66.83/66.94 ** KEPT (pick-wt=17): 59 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 66.83/66.94 ** KEPT (pick-wt=17): 60 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 66.83/66.94 ** KEPT (pick-wt=17): 61 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 66.83/66.94 ** KEPT (pick-wt=27): 62 [] 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(hAPP(hAPP(c_in(D),E),B)).
% 66.83/66.94 ** KEPT (pick-wt=9): 63 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 66.83/66.94 ** KEPT (pick-wt=9): 64 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 66.83/66.94 ** KEPT (pick-wt=8): 65 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 66.83/66.94 ** KEPT (pick-wt=7): 66 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 66.83/66.94 ** KEPT (pick-wt=25): 67 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))|c_Lattices_Olower__semilattice__class_Oinf(D,C,tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 66.83/66.94 ** KEPT (pick-wt=21): 68 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A),A).
% 66.83/66.94 ** KEPT (pick-wt=11): 69 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 66.83/66.94 ** KEPT (pick-wt=7): 70 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 66.83/66.94 ** KEPT (pick-wt=11): 71 [] A=B| -c_lesse_quals(B,A,tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 66.83/66.94 ** KEPT (pick-wt=11): 72 [] A=B| -c_Natural_Oevalc(C,D,A)| -c_Natural_Oevalc(C,D,B).
% 66.83/66.94 ** KEPT (pick-wt=13): 73 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 66.83/66.94 Following clause subsumed by 73 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 66.83/66.94 Following clause subsumed by 73 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 66.83/66.94 ** KEPT (pick-wt=11): 74 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 66.83/66.94 ** KEPT (pick-wt=12): 75 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 66.83/66.94 ** KEPT (pick-wt=17): 76 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 66.83/66.94 ** KEPT (pick-wt=12): 77 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=B| -c_lesse_quals(B,C,A).
% 66.83/66.94 ** KEPT (pick-wt=12): 78 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=B|c_lesse_quals(B,C,A).
% 66.83/66.94 ** KEPT (pick-wt=12): 79 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=C| -c_lesse_quals(C,B,A).
% 66.83/66.94 ** KEPT (pick-wt=8): 80 [] c_Com_OWT(c_Com_Ocom_OCall(A,B,C))| -c_Com_OWT(c_Com_Ocom_OBODY(B)).
% 66.83/66.94 ** KEPT (pick-wt=8): 81 [] c_Com_OWT(c_Com_Ocom_OBODY(A))| -c_Com_OWT(c_Com_Ocom_OCall(B,A,C)).
% 66.83/66.94 ** KEPT (pick-wt=17): 82 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 66.83/66.94 ** KEPT (pick-wt=9): 83 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 66.83/66.94 ** KEPT (pick-wt=9): 84 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 66.83/66.94 Following clause subsumed by 82 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 66.83/66.94 Following clause subsumed by 82 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 66.83/66.94 ** KEPT (pick-wt=9): 85 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 66.83/66.94 ** KEPT (pick-wt=9): 86 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 66.83/66.94 ** KEPT (pick-wt=11): 87 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 66.83/66.94 ** KEPT (pick-wt=11): 88 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 66.83/66.94 ** KEPT (pick-wt=28): 89 [] 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).
% 66.83/66.94 ** KEPT (pick-wt=21): 90 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A),A).
% 66.83/66.94 ** KEPT (pick-wt=8): 91 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 66.83/66.94 ** KEPT (pick-wt=18): 92 [] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)!=c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|A=C.
% 66.83/66.94 Following clause subsumed by 33 during input processing: 0 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 66.83/66.94 ** KEPT (pick-wt=7): 93 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OBODY(D).
% 66.83/66.94 ** KEPT (pick-wt=7): 94 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCall(B,C,D).
% 66.83/66.94 ** KEPT (pick-wt=9): 95 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 66.83/66.94 ** KEPT (pick-wt=9): 96 [] -c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(B),A,tc_nat).
% 66.83/66.94 ** KEPT (pick-wt=11): 97 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 66.83/66.94 ** KEPT (pick-wt=23): 98 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -hBOOL(hAPP(hAPP(c_in(D),B),C)).
% 66.83/66.94 ** KEPT (pick-wt=17): 99 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 66.83/66.94 ** KEPT (pick-wt=17): 100 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 66.83/66.94 ** KEPT (pick-wt=13): 101 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 66.83/66.94 ** KEPT (pick-wt=13): 102 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 66.83/66.94 ** KEPT (pick-wt=23): 103 [] 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).
% 66.83/66.94 ** KEPT (pick-wt=13): 104 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 66.83/66.94 ** KEPT (pick-wt=13): 105 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 66.83/66.94 ** KEPT (pick-wt=13): 106 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(B,D,A).
% 66.83/66.94 ** KEPT (pick-wt=13): 107 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(C,D,A).
% 66.83/66.94 Following clause subsumed by 104 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 66.83/66.94 Following clause subsumed by 105 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 66.83/66.94 ** KEPT (pick-wt=8): 108 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 66.83/66.94 ** KEPT (pick-wt=11): 109 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 66.83/66.94 ** KEPT (pick-wt=11): 110 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 66.83/66.94 ** KEPT (pick-wt=8): 111 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OBODY(B)|A=B.
% 66.83/66.94 ** KEPT (pick-wt=14): 112 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 66.83/66.94 ** KEPT (pick-wt=14): 113 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 66.83/66.94 ** KEPT (pick-wt=7): 114 [] c_Com_OWT(c_Com_Ocom_OLocal(A,B,C))| -c_Com_OWT(C).
% 66.83/66.94 ** KEPT (pick-wt=7): 115 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OLocal(B,C,A)).
% 66.83/66.94 ** KEPT (pick-wt=8): 116 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 66.83/66.94 ** KEPT (pick-wt=13): 117 [] A=c_Suc(B)|c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(A,c_Suc(B),tc_nat).
% 66.83/66.94 ** KEPT (pick-wt=8): 118 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 66.83/66.94 ** KEPT (pick-wt=13): 119 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 66.83/66.94 ** KEPT (pick-wt=13): 120 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 66.83/66.94 ** KEPT (pick-wt=26): 121 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 66.83/66.94 Following clause subsumed by 121 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 66.83/66.94 ** KEPT (pick-wt=24): 122 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OatLeastLessThan(C,D,E,F,A)))| -hBOOL(hAPP(hAPP(D,B),F))| -hBOOL(hAPP(hAPP(C,E),B)).
% 66.83/66.94 ** KEPT (pick-wt=17): 123 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 66.83/66.94 Following clause subsumed by 123 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 66.83/66.94 ** KEPT (pick-wt=23): 124 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OatLeastAtMost(C,D,E,A)))| -hBOOL(hAPP(hAPP(C,B),E))| -hBOOL(hAPP(hAPP(C,D),B)).
% 66.83/66.94 ** KEPT (pick-wt=19): 125 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 66.83/66.94 ** KEPT (pick-wt=19): 126 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 66.83/66.94 ** KEPT (pick-wt=10): 127 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 66.83/66.94 Following clause subsumed by 127 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 66.83/66.94 Following clause subsumed by 127 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 66.83/66.94 Following clause subsumed by 127 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 66.83/66.94 ** KEPT (pick-wt=20): 128 [] hBOOL(hAPP(hAPP(c_in(A),B),C))|B=D| -hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(D,C,A))).
% 66.83/66.94 ** KEPT (pick-wt=26): 129 [] hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(D,C,tc_fun(A,tc_bool)))).
% 66.83/66.94 ** KEPT (pick-wt=18): 130 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__XbexE__1__1(B,A,C)))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_in(C),D),B)).
% 66.83/66.94 ** KEPT (pick-wt=19): 131 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(D,C,tc_fun(A,tc_bool)))).
% 66.83/66.94 ** KEPT (pick-wt=19): 132 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool)))).
% 66.83/66.94 Following clause subsumed by 127 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 66.83/66.94 ** KEPT (pick-wt=24): 133 [] hAPP(c_COMBC(c_in(A),A,tc_fun(A,tc_bool),tc_bool),B)!=hAPP(c_COMBC(c_in(A),A,tc_fun(A,tc_bool),tc_bool),C)|B=C.
% 66.83/66.94 ** KEPT (pick-wt=26): 134 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|hBOOL(hAPP(hAPP(c_in(C),A),D))|hBOOL(hAPP(hAPP(c_in(C),A),B))|B=D.
% 66.83/66.94 ** KEPT (pick-wt=29): 135 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),hAPP(D,F)))| -hBOOL(hAPP(hAPP(c_in(E),F),C)).
% 66.83/66.94 Following clause subsumed by 135 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),hAPP(D,F)))| -hBOOL(hAPP(hAPP(c_in(E),F),C)).
% 66.83/66.94 ** KEPT (pick-wt=20): 136 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 66.83/66.94 Following clause subsumed by 136 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 66.83/66.94 Following clause subsumed by 136 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 66.83/66.94 ** KEPT (pick-wt=20): 137 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 66.83/66.94 ** KEPT (pick-wt=12): 138 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 66.83/66.94 ** KEPT (pick-wt=12): 139 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 66.83/66.94 ** KEPT (pick-wt=27): 140 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|A=D.
% 66.83/66.94 ** KEPT (pick-wt=27): 141 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|A=D.
% 66.83/66.94 ** KEPT (pick-wt=27): 142 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|B=E.
% 66.83/66.94 ** KEPT (pick-wt=27): 143 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|B=E.
% 66.83/66.94 ** KEPT (pick-wt=15): 144 [] c_Natural_Oevalc(A,B,C)|hBOOL(hAPP(D,B))| -c_Natural_Oevalc(c_Com_Ocom_OCond(D,E,A),B,C).
% 66.83/66.94 ** KEPT (pick-wt=15): 145 [] c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C),D,E)| -c_Natural_Oevalc(C,D,E)|hBOOL(hAPP(A,D)).
% 66.83/66.94 ** KEPT (pick-wt=14): 146 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|A=E.
% 66.83/66.94 ** KEPT (pick-wt=14): 147 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|B=F.
% 66.83/66.94 ** KEPT (pick-wt=14): 148 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|C=G.
% 66.83/66.94 ** KEPT (pick-wt=6): 149 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(B,A)).
% 66.83/66.94 ** KEPT (pick-wt=6): 150 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(A,B)).
% 66.83/66.94 ** KEPT (pick-wt=27): 151 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(B,C,D,A)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))))| -hBOOL(hAPP(D,E))| -hBOOL(hAPP(hAPP(c_in(A),E),B)).
% 66.83/66.94 ** KEPT (pick-wt=27): 152 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(B,C,D,A)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))))| -hBOOL(hAPP(D,E))| -hBOOL(hAPP(hAPP(c_in(A),E),C)).
% 66.83/66.94 ** KEPT (pick-wt=24): 153 [] hAPP(A,c_Set_Oinsert(B,C,D))=hAPP(hAPP(E,B),hAPP(A,C))| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,D).
% 66.83/66.94 ** KEPT (pick-wt=24): 154 [] hAPP(A,c_Set_Oinsert(B,C,D))=hAPP(hAPP(E,B),hAPP(A,C))| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,D).
% 66.83/66.94 ** KEPT (pick-wt=9): 155 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 66.83/66.94 ** KEPT (pick-wt=26): 157 [copy,156,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),A),C)).
% 66.83/66.94 ** KEPT (pick-wt=26): 159 [copy,158,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),A),B)).
% 66.83/66.94 ** KEPT (pick-wt=22): 160 [] hAPP(A,B)=C| -hBOOL(hAPP(hAPP(c_in(D),B),c_Set_Ovimage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),D,E))).
% 66.83/66.94 ** KEPT (pick-wt=9): 161 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 66.83/66.94 ** KEPT (pick-wt=9): 162 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 66.83/66.94 ** KEPT (pick-wt=17): 163 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 66.83/66.94 Following clause subsumed by 163 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 66.83/66.94 Following clause subsumed by 163 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 66.83/66.94 ** KEPT (pick-wt=9): 164 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 66.83/66.94 ** KEPT (pick-wt=9): 165 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 66.83/66.94 ** KEPT (pick-wt=10): 166 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|B=D.
% 66.83/66.94 ** KEPT (pick-wt=10): 167 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|A=C.
% 66.83/66.94 ** KEPT (pick-wt=8): 168 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 66.83/66.94 ** KEPT (pick-wt=9): 169 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 66.83/66.94 ** KEPT (pick-wt=9): 170 [] c_lesse_quals(A,c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 66.83/66.94 ** KEPT (pick-wt=20): 171 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 66.83/66.94 ** KEPT (pick-wt=20): 172 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 66.83/66.94 ** KEPT (pick-wt=5): 173 [] -c_lesse_quals(c_Suc(A),A,tc_nat).
% 66.83/66.94 ** KEPT (pick-wt=14): 174 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 66.83/66.94 ** KEPT (pick-wt=14): 175 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 66.83/66.94 ** KEPT (pick-wt=12): 176 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|C=F.
% 66.83/66.94 ** KEPT (pick-wt=12): 177 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|B=E.
% 66.83/66.94 ** KEPT (pick-wt=12): 178 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|A=D.
% 66.83/66.94 ** KEPT (pick-wt=8): 179 [] c_Com_OWT(c_Com_Ocom_OSemi(A,B))| -c_Com_OWT(B)| -c_Com_OWT(A).
% 66.83/66.94 ** KEPT (pick-wt=18): 180 [] 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).
% 66.83/66.94 ** KEPT (pick-wt=18): 181 [] 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).
% 66.83/66.94 ** KEPT (pick-wt=4): 182 [] c_Suc(A)!=A.
% 66.83/66.94 Following clause subsumed by 182 during input processing: 0 [flip.1] c_Suc(A)!=A.
% 66.83/66.94 ** KEPT (pick-wt=8): 183 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 66.83/66.94 ** KEPT (pick-wt=13): 184 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 66.83/66.94 ** KEPT (pick-wt=13): 185 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 66.83/66.94 ** KEPT (pick-wt=13): 186 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,D,A).
% 66.83/66.94 ** KEPT (pick-wt=13): 187 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,C,A).
% 66.83/66.94 Following clause subsumed by 184 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 66.83/66.94 Following clause subsumed by 185 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 66.83/66.94 ** KEPT (pick-wt=19): 188 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(B,v_x),hAPP(C,v_x),A).
% 66.83/66.94 ** KEPT (pick-wt=14): 189 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 66.83/66.94 ** KEPT (pick-wt=14): 190 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 66.83/66.94 ** KEPT (pick-wt=12): 191 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(C,B,tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 66.83/66.94 ** KEPT (pick-wt=6): 192 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 66.83/66.94 ** KEPT (pick-wt=6): 193 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 66.83/66.94 ** KEPT (pick-wt=16): 194 [] 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)).
% 66.83/66.94 ** KEPT (pick-wt=21): 195 [] hAPP(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))=B| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,J,C).
% 66.83/66.94 ** KEPT (pick-wt=21): 196 [] hAPP(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))=B| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,J,C).
% 66.83/66.94 ** KEPT (pick-wt=24): 197 [] 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)).
% 66.83/66.94 ** KEPT (pick-wt=28): 198 [] 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).
% 66.83/66.94 ** KEPT (pick-wt=14): 199 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)).
% 66.83/66.94 ** KEPT (pick-wt=14): 200 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))).
% 66.83/66.94 ** KEPT (pick-wt=17): 201 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 66.83/66.94 ** KEPT (pick-wt=9): 202 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 66.83/66.94 ** KEPT (pick-wt=15): 203 [] c_Natural_Oevalc(A,B,C)|c_Natural_Oevalc(D,B,C)| -c_Natural_Oevalc(c_Com_Ocom_OCond(E,D,A),B,C).
% 66.83/66.94 ** KEPT (pick-wt=10): 204 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),c_Suc(B),tc_nat).
% 66.83/66.94 ** KEPT (pick-wt=10): 205 [] c_lesse_quals(c_Suc(A),c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 66.83/66.94 ** KEPT (pick-wt=7): 206 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OCond(B,C,A)).
% 66.83/66.94 ** KEPT (pick-wt=7): 207 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OCond(B,A,C)).
% 66.83/66.94 ** KEPT (pick-wt=10): 208 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 66.83/66.94 Following clause subsumed by 137 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 66.83/66.94 ** KEPT (pick-wt=25): 209 [] hBOOL(hAPP(hAPP(A,hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),D),C))| -c_Complete__Lattice_Ocomplete__lattice(B,F,A,G,H,I,J,K,E).
% 66.83/66.94 ** KEPT (pick-wt=25): 210 [] hBOOL(hAPP(hAPP(A,B),hAPP(C,D)))| -hBOOL(hAPP(hAPP(c_in(E),B),D))| -c_Complete__Lattice_Ocomplete__lattice(F,C,A,G,H,I,J,K,E).
% 66.83/66.94 ** KEPT (pick-wt=17): 211 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OatLeastAtMost(A,E,C,D))).
% 66.83/66.94 ** KEPT (pick-wt=17): 212 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),C),c_SetInterval_Oord_OatLeastAtMost(A,B,E,D))).
% 66.83/66.94 ** KEPT (pick-wt=19): 213 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(B,C,A,D)))| -hBOOL(hAPP(A,E))| -hBOOL(hAPP(hAPP(c_in(D),E),C)).
% 66.83/66.94 ** KEPT (pick-wt=19): 214 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(B,C,A,D)))| -hBOOL(hAPP(A,E))| -hBOOL(hAPP(hAPP(c_in(D),E),B)).
% 66.83/66.94 ** KEPT (pick-wt=21): 215 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__XbexE__1__1(B,C,A)),B))| -hBOOL(hAPP(C,D))| -hBOOL(hAPP(hAPP(c_in(A),D),B)).
% 66.83/66.94 ** KEPT (pick-wt=13): 216 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 66.83/66.94 ** KEPT (pick-wt=16): 217 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OlessThan(C,D,A)))| -hBOOL(hAPP(hAPP(C,B),D)).
% 66.83/66.94 ** KEPT (pick-wt=16): 218 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OlessThan(A,C,D))).
% 66.83/66.94 ** KEPT (pick-wt=29): 219 [] hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_fun(E,tc_bool))),F),G))| -hBOOL(hAPP(hAPP(hAPP(B,H),F),G))| -hBOOL(hAPP(hAPP(c_in(C),H),A)).
% 66.83/66.94 ** KEPT (pick-wt=23): 220 [] 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(hAPP(hAPP(c_in(C),F),A)).
% 66.83/66.95 Following clause subsumed by 219 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_fun(E,tc_bool))),F),G))| -hBOOL(hAPP(hAPP(hAPP(B,H),F),G))| -hBOOL(hAPP(hAPP(c_in(C),H),A)).
% 66.83/66.95 Following clause subsumed by 220 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(hAPP(hAPP(c_in(C),F),A)).
% 66.83/66.95 ** KEPT (pick-wt=18): 221 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OatLeastLessThan(E,A,F,C,D))).
% 66.83/66.95 ** KEPT (pick-wt=18): 222 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),C),c_SetInterval_Oord_OatLeastLessThan(A,E,B,F,D))).
% 66.83/66.95 ** KEPT (pick-wt=21): 223 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(B,C,A)),B))| -hBOOL(hAPP(C,D))| -hBOOL(hAPP(hAPP(c_in(A),D),B)).
% 66.83/66.95 ** KEPT (pick-wt=18): 224 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(B,A,C)))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_in(C),D),B)).
% 66.83/66.95 ** KEPT (pick-wt=20): 225 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 66.83/66.95 Following clause subsumed by 225 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 66.83/66.95 Following clause subsumed by 225 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 66.83/66.95 Following clause subsumed by 225 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 66.83/66.95 ** KEPT (pick-wt=5): 227 [copy,226,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 66.83/66.95 ** KEPT (pick-wt=5): 228 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 66.83/66.95 ** KEPT (pick-wt=4): 229 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 66.83/66.95 ** KEPT (pick-wt=6): 230 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP.
% 66.83/66.95 Following clause subsumed by 230 during input processing: 0 [flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP.
% 66.83/66.95 Following clause subsumed by 227 during input processing: 0 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 66.83/66.95 Following clause subsumed by 228 during input processing: 0 [flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 66.83/66.95 ** KEPT (pick-wt=6): 231 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 66.83/66.95 Following clause subsumed by 231 during input processing: 0 [flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 66.83/66.95 ** KEPT (pick-wt=6): 233 [copy,232,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 66.83/66.95 Following clause subsumed by 233 during input processing: 0 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 66.83/66.95 Following clause subsumed by 229 during input processing: 0 [flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 66.83/66.95 ** KEPT (pick-wt=7): 234 [] A=B| -c_Natural_Oevalc(c_Com_Ocom_OSKIP,B,A).
% 66.83/66.95 ** KEPT (pick-wt=6): 235 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 66.83/66.95 ** KEPT (pick-wt=13): 236 [] hBOOL(hAPP(A,B))|C=B| -c_Natural_Oevalc(c_Com_Ocom_OWhile(A,D),B,C).
% 66.83/66.95 ** KEPT (pick-wt=7): 237 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 66.83/66.95 ** KEPT (pick-wt=7): 238 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 66.83/66.95 ** KEPT (pick-wt=8): 239 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 66.83/66.95 ** KEPT (pick-wt=8): 240 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 66.83/66.95 ** KEPT (pick-wt=7): 241 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 66.83/66.95 ** KEPT (pick-wt=8): 242 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 66.83/66.95 ** KEPT (pick-wt=7): 243 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 66.83/66.95 ** KEPT (pick-wt=8): 244 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 66.83/66.95 ** KEPT (pick-wt=6): 245 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 66.83/66.95 ** KEPT (pick-wt=20): 246 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B),C,D)| -c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B),E,D)| -c_Natural_Oevalc(B,C,E)| -hBOOL(hAPP(A,C)).
% 66.83/66.95 ** KEPT (pick-wt=8): 247 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 66.83/66.95 ** KEPT (pick-wt=6): 248 [] c_Com_OWT(c_Com_Ocom_OWhile(A,B))| -c_Com_OWT(B).
% 66.83/66.95 ** KEPT (pick-wt=6): 249 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OWhile(B,A)).
% 66.83/66.95 ** KEPT (pick-wt=8): 250 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 66.83/66.95 ** KEPT (pick-wt=18): 251 [] 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).
% 66.83/66.95 ** KEPT (pick-wt=14): 252 [] c_Natural_Oevaln(A,B,C,D)| -c_lesse_quals(E,C,tc_nat)| -c_Natural_Oevaln(A,B,E,D).
% 66.83/66.95 ** KEPT (pick-wt=17): 253 [] c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -c_Natural_Oevaln(C,D,E,F)|hBOOL(hAPP(A,D)).
% 66.83/66.95 ** KEPT (pick-wt=17): 254 [] c_Natural_Oevaln(A,B,C,D)|hBOOL(hAPP(E,B))| -c_Natural_Oevaln(c_Com_Ocom_OCond(E,F,A),B,C,D).
% 66.83/66.95 ** KEPT (pick-wt=11): 255 [] c_Natural_Oevaln(A,B,c_Suc(C),D)| -c_Natural_Oevaln(A,B,C,D).
% 66.83/66.95 ** KEPT (pick-wt=21): 256 [] c_Natural_Oevaln(A,B,c_Natural_Osko__Natural__Xevaln__max2__1__1(C,A,D,B,E,F),F)| -c_Natural_Oevaln(A,B,G,F)| -c_Natural_Oevaln(C,D,H,E).
% 66.83/66.95 ** KEPT (pick-wt=21): 257 [] c_Natural_Oevaln(A,B,c_Natural_Osko__Natural__Xevaln__max2__1__1(A,C,B,D,E,F),E)| -c_Natural_Oevaln(C,D,G,F)| -c_Natural_Oevaln(A,B,H,E).
% 66.83/66.95 ** KEPT (pick-wt=17): 258 [] c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -c_Natural_Oevaln(B,D,E,F)| -hBOOL(hAPP(A,D)).
% 66.83/66.95 ** KEPT (pick-wt=17): 259 [] -hBOOL(hAPP(A,B))|c_Natural_Oevaln(C,B,D,E)| -c_Natural_Oevaln(c_Com_Ocom_OCond(A,C,F),B,D,E).
% 66.83/66.95 ** KEPT (pick-wt=17): 260 [] 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).
% 66.83/66.95 ** KEPT (pick-wt=9): 261 [] c_Natural_Oevalc(A,B,C)| -c_Natural_Oevaln(A,B,D,C).
% 66.83/66.95 Following clause subsumed by 261 during input processing: 0 [] c_Natural_Oevalc(A,B,C)| -c_Natural_Oevaln(A,B,D,C).
% 66.83/66.95 ** KEPT (pick-wt=9): 262 [] c_Hoare__Mirabelle_Otriple__valid(A,B,C)| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(A),B,C).
% 66.83/66.95 ** KEPT (pick-wt=26): 263 [] c_Hoare__Mirabelle_Otriple__valid(A,B,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),B),C))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(D,A)),D))| -c_Hoare__Mirabelle_Ohoare__valids(D,C,t_a).
% 66.83/66.95 ** KEPT (pick-wt=19): 264 [] c_Hoare__Mirabelle_Otriple__valid(A,B,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),B),C))| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(A),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(A,C),t_a).
% 66.83/66.95 ** KEPT (pick-wt=18): 265 [] c_Hoare__Mirabelle_Ohoare__valids(A,B,t_a)|c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(A,B),C,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),C),A)).
% 66.83/66.95 ** KEPT (pick-wt=22): 266 [] c_Hoare__Mirabelle_Otriple__valid(A,B,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),B),C))| -c_Hoare__Mirabelle_Otriple__valid(A,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(D,A),t_a)| -c_Hoare__Mirabelle_Ohoare__valids(D,C,t_a).
% 66.83/66.95 ** KEPT (pick-wt=23): 267 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(A,B,C,D,E),C,E)| -hBOOL(hAPP(A,D))| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),D,C,E).
% 66.83/66.95 ** KEPT (pick-wt=20): 268 [] c_Natural_Oevaln(A,B,C,c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(D,A,C,B,E))|E=B| -c_Natural_Oevaln(c_Com_Ocom_OWhile(D,A),B,C,E).
% 66.83/66.95 ** KEPT (pick-wt=22): 269 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(A,B,C,D,E),C,E)|E=D| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),D,C,E).
% 66.83/66.95 ** KEPT (pick-wt=21): 270 [] c_Natural_Oevaln(A,B,C,c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(D,A,C,B,E))| -hBOOL(hAPP(D,B))| -c_Natural_Oevaln(c_Com_Ocom_OWhile(D,A),B,C,E).
% 66.83/66.95 ** KEPT (pick-wt=25): 271 [] hBOOL(hAPP(hAPP(A,B),C))| -c_Natural_Oevaln(D,E,F,C)| -hBOOL(hAPP(hAPP(G,B),E))| -c_Hoare__Mirabelle_Otriple__valid(F,c_Hoare__Mirabelle_Otriple_Otriple(G,D,A,t_a),t_a).
% 66.83/66.95 ** KEPT (pick-wt=22): 272 [] c_Hoare__Mirabelle_Otriple__valid(A,B,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),B),C))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(A,C)),C)).
% 66.83/66.95 ** KEPT (pick-wt=14): 273 [] hBOOL(hAPP(A,B))|C=B| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,D),B,E,C).
% 66.83/66.95 ** KEPT (pick-wt=5): 275 [copy,274,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 66.83/66.95 Following clause subsumed by 275 during input processing: 0 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 66.83/66.95 ** KEPT (pick-wt=11): 276 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(C,B)).
% 66.83/66.95 ** KEPT (pick-wt=11): 277 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),A)).
% 66.83/66.95 ** KEPT (pick-wt=23): 278 [] 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)).
% 66.83/66.95 ** KEPT (pick-wt=10): 279 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|A=C.
% 66.83/66.95 ** KEPT (pick-wt=10): 280 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|B=D.
% 66.83/66.95 ** KEPT (pick-wt=8): 281 [] A=B| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,B,C,A).
% 66.83/66.95 ** KEPT (pick-wt=12): 282 [] c_Hoare__Mirabelle_Otriple__valid(v_na,A,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),A),v_G)).
% 66.83/66.95 ** KEPT (pick-wt=10): 283 [] hBOOL(hAPP(v_b,v_sa))| -hBOOL(hAPP(hAPP(v_P,v_x),v_sa)).
% 66.83/66.95 ** KEPT (pick-wt=30): 284 [] hBOOL(hAPP(hAPP(v_P,A),B))| -c_Natural_Oevaln(v_c,C,D,B)| -hBOOL(hAPP(v_b,C))| -hBOOL(hAPP(hAPP(v_P,A),C))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_nb(D)),v_G)).
% 66.83/66.95 ** KEPT (pick-wt=26): 285 [] hBOOL(hAPP(hAPP(v_P,A),B))| -c_Natural_Oevaln(v_c,C,D,B)| -hBOOL(hAPP(v_b,C))| -hBOOL(hAPP(hAPP(v_P,A),C))| -c_Hoare__Mirabelle_Otriple__valid(D,v_nb(D),t_a).
% 66.83/66.95 ** KEPT (pick-wt=6): 286 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 66.83/66.95 ** KEPT (pick-wt=6): 287 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 66.83/66.95 ** KEPT (pick-wt=6): 288 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 66.83/66.95 ** KEPT (pick-wt=6): 289 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 66.83/66.95 ** KEPT (pick-wt=6): 290 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 66.83/66.95 ** KEPT (pick-wt=6): 291 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 66.83/66.95 ** KEPT (pick-wt=6): 292 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 66.83/66.95 ** KEPT (pick-wt=6): 293 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 66.83/66.95 ** KEPT (pick-wt=6): 294 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 66.83/66.95 ** KEPT (pick-wt=7): 295 [] A=B| -c_fe_qual(A,B,C).
% 66.83/66.95 Following clause subsumed by 16 during input processing: 0 [copy,7,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 66.83/66.95 Following clause subsumed by 116 during input processing: 0 [copy,8,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 66.83/66.95 Following clause subsumed by 7 during input processing: 0 [copy,16,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 66.83/66.95 Following clause subsumed by 49 during input processing: 0 [copy,17,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 66.83/66.95 Following clause subsumed by 39 during input processing: 0 [copy,19,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 66.83/66.95 Following clause subsumed by 94 during input processing: 0 [copy,20,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCall(B,C,D).
% 66.83/66.95 Following clause subsumed by 70 during input processing: 0 [copy,21,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 66.83/66.95 Following clause subsumed by 93 during input processing: 0 [copy,26,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OBODY(D).
% 66.83/66.95 Following clause subsumed by 38 during input processing: 0 [copy,28,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OAss(B,C).
% 66.83/66.95 Following clause subsumed by 42 during input processing: 0 [copy,32,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 66.83/66.95 Following clause subsumed by 155 during input processing: 0 [copy,33,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 66.83/66.95 Following clause subsumed by 108 during input processing: 0 [copy,34,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 66.83/66.95 Following clause subsumed by 51 during input processing: 0 [copy,35,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 66.83/66.95 Following clause subsumed by 28 during input processing: 0 [copy,38,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OBODY(C).
% 66.83/66.95 Following clause subsumed by 19 during input processing: 0 [copy,39,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 66.83/66.95 Following clause subsumed by 32 during input processing: 0 [copy,42,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 66.83/66.95 Following clause subsumed by 17 during input processing: 0 [copy,49,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 66.83/66.95 Following clause subsumed by 35 during input processing: 0 [copy,51,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 66.83/66.95 Following clause subsumed by 57 during input processing: 0 [copy,56,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 66.83/66.95 Following clause subsumed by 56 during input processing: 0 [copy,57,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 66.83/66.95 Following clause subsumed by 118 during input processing: 0 [copy,65,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 66.83/66.95 Following clause subsumed by 21 during input processing: 0 [copy,70,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 66.83/66.95 Following clause subsumed by 168 during input processing: 0 [copy,91,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 66.83/66.95 Following clause subsumed by 26 during input processing: 0 [copy,93,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OLocal(B,C,D).
% 66.83/66.95 Following clause subsumed by 20 during input processing: 0 [copy,94,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OBODY(D).
% 66.83/66.95 Following clause subsumed by 202 during input processing: 0 [copy,95,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 66.83/66.95 Following clause subsumed by 34 during input processing: 0 [copy,108,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 66.83/66.95 Following clause subsumed by 8 during input processing: 0 [copy,116,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 66.83/66.95 Following clause subsumed by 65 during input processing: 0 [copy,118,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 66.83/66.95 Following clause subsumed by 33 during input processing: 0 [copy,155,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 66.83/66.95 Following clause subsumed by 91 during input processing: 0 [copy,168,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 66.83/66.95 Following clause subsumed by 95 during input processing: 0 [copy,202,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 66.83/66.95 Following clause subsumed by 245 during input processing: 0 [copy,235,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 66.83/66.95 Following clause subsumed by 243 during input processing: 0 [copy,237,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 66.83/66.95 Following clause subsumed by 241 during input processing: 0 [copy,238,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 66.83/66.95 Following clause subsumed by 247 during input processing: 0 [copy,239,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 66.83/66.95 Following clause subsumed by 244 during input processing: 0 [copy,240,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 66.83/66.95 Following clause subsumed by 238 during input processing: 0 [copy,241,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 66.83/66.95 Following clause subsumed by 250 during input processing: 0 [copy,242,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 66.83/66.95 Following clause subsumed by 237 during input processing: 0 [copy,243,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 66.83/66.95 Following clause subsumed by 240 during input processing: 0 [copy,244,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 66.83/66.95 Following clause subsumed by 235 during input processing: 0 [copy,245,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 66.83/66.95 Following clause subsumed by 239 during input processing: 0 [copy,247,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 66.83/66.95 Following clause subsumed by 242 during input processing: 0 [copy,250,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 66.83/66.95
% 66.83/66.95 ------------> process sos:
% 66.83/66.95 ** KEPT (pick-wt=3): 331 [] A=A.
% 66.83/66.95 ** KEPT (pick-wt=13): 332 [] 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)).
% 66.83/66.95 ** KEPT (pick-wt=4): 333 [] c_Com_OWT(c_Com_Ocom_OAss(A,B)).
% 66.83/66.95 ** KEPT (pick-wt=23): 334 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=23): 335 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 66.83/66.95 ---> New Demodulator: 336 [new_demod,335] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=21): 337 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 66.83/66.95 ** KEPT (pick-wt=19): 338 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J).
% 66.83/66.95 ** KEPT (pick-wt=6): 339 [] hAPP(c_COMBI(A),B)=B.
% 66.83/66.95 ---> New Demodulator: 340 [new_demod,339] hAPP(c_COMBI(A),B)=B.
% 66.83/66.95 ** KEPT (pick-wt=15): 341 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 66.83/66.95 ** KEPT (pick-wt=15): 342 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 66.83/66.95 ** KEPT (pick-wt=22): 343 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K).
% 66.83/66.95 ** KEPT (pick-wt=8): 344 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 66.83/66.95 ---> New Demodulator: 345 [new_demod,344] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 66.83/66.95 ** KEPT (pick-wt=9): 346 [] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B.
% 66.83/66.95 ---> New Demodulator: 347 [new_demod,346] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B.
% 66.83/66.95 ** KEPT (pick-wt=9): 348 [] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A.
% 66.83/66.95 ---> New Demodulator: 349 [new_demod,348] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A.
% 66.83/66.95 ** KEPT (pick-wt=28): 351 [copy,350,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 66.83/66.95 ---> New Demodulator: 352 [new_demod,351] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=28): 354 [copy,353,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 66.83/66.95 ---> New Demodulator: 355 [new_demod,354] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=34): 357 [copy,356,flip.1] hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,c_Com_Ocom_OLocal(B,C,D),L).
% 66.83/66.95 ---> New Demodulator: 358 [new_demod,357] hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,c_Com_Ocom_OLocal(B,C,D),L).
% 66.83/66.95 ** KEPT (pick-wt=8): 359 [] c_Set_Oimage(c_COMBI(A),B,A,A)=B.
% 66.83/66.95 ---> New Demodulator: 360 [new_demod,359] c_Set_Oimage(c_COMBI(A),B,A,A)=B.
% 66.83/66.95 ** KEPT (pick-wt=43): 362 [copy,361,flip.1] hAPP(hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,B,K)),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,c_Com_Ocom_OSemi(B,C),K).
% 66.83/66.95 ---> New Demodulator: 363 [new_demod,362] hAPP(hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,B,K)),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,c_Com_Ocom_OSemi(B,C),K).
% 66.83/66.95 ** KEPT (pick-wt=19): 365 [copy,364,flip.1] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool)).
% 66.83/66.95 ---> New Demodulator: 366 [new_demod,365] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=19): 368 [copy,367,demod,366] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=19): 369 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,c_Set_Oinsert(hAPP(C,B),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),A,D))).
% 66.83/66.95 ** KEPT (pick-wt=22): 371 [copy,370,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 66.83/66.95 ---> New Demodulator: 372 [new_demod,371] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=12): 373 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 66.83/66.95 ---> New Demodulator: 374 [new_demod,373] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 66.83/66.95 ** KEPT (pick-wt=14): 375 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 66.83/66.95 ---> New Demodulator: 376 [new_demod,375] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=14): 377 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 66.83/66.95 ---> New Demodulator: 378 [new_demod,377] c_Lattices_Olower__semilattice__class_Oinf(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=14): 379 [] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 66.83/66.95 ---> New Demodulator: 380 [new_demod,379] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 66.83/66.95 Following clause subsumed by 331 during input processing: 0 [demod,380] hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 66.83/66.95 ** KEPT (pick-wt=8): 381 [] c_Set_Ovimage(c_COMBI(A),B,A,A)=B.
% 66.83/66.95 ---> New Demodulator: 382 [new_demod,381] c_Set_Ovimage(c_COMBI(A),B,A,A)=B.
% 66.83/66.95 ** KEPT (pick-wt=23): 383 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 66.83/66.95 ---> New Demodulator: 384 [new_demod,383] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=23): 385 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=11): 386 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 66.83/66.95 ---> New Demodulator: 387 [new_demod,386] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 66.83/66.95 ** KEPT (pick-wt=11): 388 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 66.83/66.95 ---> New Demodulator: 389 [new_demod,388] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 66.83/66.95 ** KEPT (pick-wt=17): 390 [] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 66.83/66.95 ---> New Demodulator: 391 [new_demod,390] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 66.83/66.95 ** KEPT (pick-wt=17): 392 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 66.83/66.95 ---> New Demodulator: 393 [new_demod,392] c_Lattices_Oupper__semilattice__class_Osup(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 66.83/66.95 ** KEPT (pick-wt=13): 394 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=53): 396 [copy,395,demod,336,384] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 66.83/66.95 ---> New Demodulator: 397 [new_demod,396] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=9): 398 [] c_lesse_quals(c_Suc(A),B,tc_nat)|c_lesse_quals(B,A,tc_nat).
% 66.83/66.95 ** KEPT (pick-wt=23): 399 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 66.83/66.95 ** KEPT (pick-wt=23): 400 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),D)).
% 66.83/66.95 ** KEPT (pick-wt=8): 401 [] c_Set_Ovimage(c_Fun_Oid(A),B,A,A)=B.
% 66.83/66.95 ---> New Demodulator: 402 [new_demod,401] c_Set_Ovimage(c_Fun_Oid(A),B,A,A)=B.
% 66.83/66.95 ** KEPT (pick-wt=19): 403 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSemi(I,J),K)=hAPP(hAPP(D,I),J).
% 66.83/66.95 ** KEPT (pick-wt=20): 404 [] c_Set_Ovimage(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_Set_Ovimage(B,c_Set_Ovimage(A,F,C,D),E,C).
% 66.83/66.95 ---> New Demodulator: 405 [new_demod,404] c_Set_Ovimage(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_Set_Ovimage(B,c_Set_Ovimage(A,F,C,D),E,C).
% 66.83/66.95 ** KEPT (pick-wt=13): 406 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=8): 407 [] c_Set_Oimage(c_Fun_Oid(A),B,A,A)=B.
% 66.83/66.95 ---> New Demodulator: 408 [new_demod,407] c_Set_Oimage(c_Fun_Oid(A),B,A,A)=B.
% 66.83/66.95 ** KEPT (pick-wt=22): 409 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K).
% 66.83/66.95 ** KEPT (pick-wt=17): 410 [] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=6): 411 [] c_lesse_quals(c_Suc(A),c_Suc(A),tc_nat).
% 66.83/66.95 ** KEPT (pick-wt=18): 412 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 66.83/66.95 ---> New Demodulator: 413 [new_demod,412] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=13): 414 [] 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).
% 66.83/66.95 ** KEPT (pick-wt=16): 415 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I).
% 66.83/66.95 ** KEPT (pick-wt=25): 416 [] c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=19): 417 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J).
% 66.83/66.95 ** KEPT (pick-wt=6): 418 [] hAPP(c_Fun_Oid(A),B)=B.
% 66.83/66.95 ---> New Demodulator: 419 [new_demod,418] hAPP(c_Fun_Oid(A),B)=B.
% 66.83/66.95 ** KEPT (pick-wt=46): 421 [copy,420,flip.1] hAPP(hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,C,L)),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,c_Com_Ocom_OCond(B,C,D),L).
% 66.83/66.95 ---> New Demodulator: 422 [new_demod,421] hAPP(hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,C,L)),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,c_Com_Ocom_OCond(B,C,D),L).
% 66.83/66.95 ** KEPT (pick-wt=25): 423 [] c_Set_Ovimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=10): 424 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 66.83/66.95 Following clause subsumed by 424 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 66.83/66.95 Following clause subsumed by 424 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 66.83/66.95 ** KEPT (pick-wt=25): 425 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 66.83/66.95 ** KEPT (pick-wt=22): 426 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OLocal(I,J,K),L)=hAPP(hAPP(hAPP(C,I),J),K).
% 66.83/66.95 ** KEPT (pick-wt=19): 428 [copy,427,flip.1] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 66.83/66.95 ---> New Demodulator: 429 [new_demod,428] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 66.83/66.95 ** KEPT (pick-wt=14): 430 [] hAPP(c_Fun_Ofcomp(A,B,C,D,E),F)=hAPP(B,hAPP(A,F)).
% 66.83/66.95 ---> New Demodulator: 431 [new_demod,430] hAPP(c_Fun_Ofcomp(A,B,C,D,E),F)=hAPP(B,hAPP(A,F)).
% 66.83/66.95 ** KEPT (pick-wt=23): 433 [copy,432,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).
% 66.83/66.95 ---> New Demodulator: 434 [new_demod,433] 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).
% 66.83/66.95 ** KEPT (pick-wt=21): 435 [] c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),D)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D).
% 66.83/66.96 ** KEPT (pick-wt=28): 436 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(D,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 66.83/66.96 ---> New Demodulator: 437 [new_demod,436] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(D,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 66.83/66.96 ** KEPT (pick-wt=28): 438 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 66.83/66.96 ---> New Demodulator: 439 [new_demod,438] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 66.83/66.96 ** KEPT (pick-wt=7): 440 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 66.83/66.96 ** KEPT (pick-wt=18): 441 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 66.83/66.96 ---> New Demodulator: 442 [new_demod,441] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 66.83/66.96 ** KEPT (pick-wt=9): 443 [] c_Fun_Ofcomp(A,c_Fun_Oid(B),C,B,B)=A.
% 66.83/66.96 ---> New Demodulator: 444 [new_demod,443] c_Fun_Ofcomp(A,c_Fun_Oid(B),C,B,B)=A.
% 66.83/66.96 ** KEPT (pick-wt=9): 445 [] c_Fun_Ofcomp(c_Fun_Oid(A),B,A,A,C)=B.
% 66.83/66.96 ---> New Demodulator: 446 [new_demod,445] c_Fun_Ofcomp(c_Fun_Oid(A),B,A,A,C)=B.
% 66.83/66.96 ** KEPT (pick-wt=20): 447 [] 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).
% 66.83/66.96 ---> New Demodulator: 448 [new_demod,447] 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).
% 66.83/66.96 ** KEPT (pick-wt=8): 449 [] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 66.83/66.96 ---> New Demodulator: 450 [new_demod,449] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 66.83/66.96 ** KEPT (pick-wt=4): 451 [] c_lesse_quals(A,A,tc_nat).
% 66.83/66.96 Following clause subsumed by 451 during input processing: 0 [] c_lesse_quals(A,A,tc_nat).
% 66.83/66.96 ** KEPT (pick-wt=16): 452 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I).
% 66.83/66.96 Following clause subsumed by 424 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))).
% 66.83/66.96 ** KEPT (pick-wt=22): 453 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCond(I,J,K),L)=hAPP(hAPP(hAPP(E,I),J),K).
% 66.83/66.96 ** KEPT (pick-wt=29): 454 [] c_Set_Ovimage(A,c_Set_Oinsert(B,C,D),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 66.83/66.96 ** KEPT (pick-wt=31): 455 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 66.83/66.96 Following clause subsumed by 331 during input processing: 0 [demod,345] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 66.83/66.96 ** KEPT (pick-wt=25): 456 [] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 66.83/66.96 ** KEPT (pick-wt=13): 457 [] c_Set_Ovimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 66.83/66.96 ** KEPT (pick-wt=23): 458 [] 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).
% 66.83/66.96 ---> New Demodulator: 459 [new_demod,458] 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).
% 66.83/66.96 ** KEPT (pick-wt=8): 460 [] c_lesse_quals(A,B,tc_nat)|c_lesse_quals(B,A,tc_nat).
% 66.83/66.96 ** KEPT (pick-wt=38): 461 [] hAPP(c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),A),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),B),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool))).
% 66.83/66.96 ---> New Demodulator: 462 [new_demod,461] hAPP(c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),A),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),B),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool))).
% 66.83/66.96 ** KEPT (pick-wt=38): 463 [] hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),A),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),B),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool))).
% 66.83/66.96 ---> New Demodulator: 464 [new_demod,463] hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),A),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),B),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool))).
% 66.83/66.96 Following clause subsumed by 331 during input processing: 0 [demod,380] hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)).
% 66.83/66.96 Following clause subsumed by 331 during input processing: 0 [demod,419] v_x=v_x.
% 66.83/66.96 Following clause subsumed by 331 during input processing: 0 [demod,431] hAPP(B,hAPP(A,v_x))=hAPP(B,hAPP(A,v_x)).
% 66.83/66.96 ** KEPT (pick-wt=4): 465 [] c_Natural_Oevalc(c_Com_Ocom_OSKIP,A,A).
% 66.83/66.96 ** KEPT (pick-wt=13): 466 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 66.83/66.96 ---> New Demodulator: 467 [new_demod,466] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 66.83/66.96 ** KEPT (pick-wt=13): 468 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 66.83/66.96 ---> New Demodulator: 469 [new_demod,468] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 66.83/66.96 ** KEPT (pick-wt=2): 470 [] c_Com_OWT(c_Com_Ocom_OSKIP).
% 66.83/66.96 ** KEPT (pick-wt=19): 471 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OWhile(I,J),K)=hAPP(hAPP(F,I),J).
% 66.83/66.96 ** KEPT (pick-wt=10): 472 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B),C,C)|hBOOL(hAPP(A,C)).
% 66.83/66.96 ** KEPT (pick-wt=31): 474 [copy,473,flip.1] hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,c_Com_Ocom_OWhile(B,C),K).
% 66.83/66.96 ---> New Demodulator: 475 [new_demod,474] hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,c_Com_Ocom_OWhile(B,C),K).
% 66.83/66.96 Following clause subsumed by 331 during input processing: 0 [demod,340] v_P=v_P.
% 66.83/66.96 ** KEPT (pick-wt=16): 477 [copy,476,flip.1] hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)))=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x).
% 66.83/66.96 ---> New Demodulator: 478 [new_demod,477] hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)))=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x).
% 66.83/66.96 ** KEPT (pick-wt=5): 479 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,A,B,A).
% 66.83/66.96 ** KEPT (pick-wt=11): 480 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,C)|hBOOL(hAPP(A,C)).
% 66.83/66.96 ** KEPT (pick-wt=5): 482 [copy,481,flip.1] c_Com_Ocom_OWhile(v_b,v_c)=c_Com_Oc
% 66.83/66.96 -------- PROOF --------
% 66.83/66.96 om_OSKIP.
% 66.83/66.96 ---> New Demodulator: 483 [new_demod,482] c_Com_Ocom_OWhile(v_b,v_c)=c_Com_Ocom_OSKIP.
% 66.83/66.96
% 66.83/66.96 ----> UNIT CONFLICT at 0.05 sec ----> 484 [binary,482.1,275.1] $F.
% 66.83/66.96
% 66.83/66.96 Length of proof is 2. Level of proof is 1.
% 66.83/66.96
% 66.83/66.96 ---------------- PROOF ----------------
% 66.83/66.96 % SZS status Unsatisfiable
% 66.83/66.96 % SZS output start Refutation
% See solution above
% 66.83/66.96 ------------ end of proof -------------
% 66.83/66.96
% 66.83/66.96
% 66.83/66.96 Search stopped by max_proofs option.
% 66.83/66.96
% 66.83/66.96
% 66.83/66.96 Search stopped by max_proofs option.
% 66.83/66.96
% 66.83/66.96 ============ end of search ============
% 66.83/66.96
% 66.83/66.96 -------------- statistics -------------
% 66.83/66.96 clauses given 0
% 66.83/66.96 clauses generated 39
% 66.83/66.96 clauses kept 415
% 66.83/66.96 clauses forward subsumed 91
% 66.83/66.96 clauses back subsumed 0
% 66.83/66.96 Kbytes malloced 7812
% 66.83/66.96
% 66.83/66.96 ----------- times (seconds) -----------
% 66.83/66.96 user CPU time 0.05 (0 hr, 0 min, 0 sec)
% 66.83/66.96 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 66.83/66.96 wall-clock time 67 (0 hr, 1 min, 7 sec)
% 66.83/66.96
% 66.83/66.96 That finishes the proof of the theorem.
% 66.83/66.96
% 66.83/66.96 Process 14633 finished Wed Jul 27 06:07:23 2022
% 66.83/66.96 Otter interrupted
% 66.83/66.96 PROOF FOUND
%------------------------------------------------------------------------------