%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : SWV897-1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n004.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 13:21:44 EDT 2022 % Result : Unknown 109.19s 109.27s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV897-1 : TPTP v8.1.0. Released v4.1.0. % 0.07/0.13 % Command : otter-tptp-script %s % 0.13/0.34 % Computer : n004.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Wed Jul 27 06:00:06 EDT 2022 % 0.13/0.34 % CPUTime : % 108.96/109.02 ----- Otter 3.3f, August 2004 ----- % 108.96/109.02 The process was started by sandbox2 on n004.cluster.edu, % 108.96/109.02 Wed Jul 27 06:00:06 2022 % 108.96/109.02 The command was "./otter". The process ID is 8934. % 108.96/109.02 % 108.96/109.02 set(prolog_style_variables). % 108.96/109.02 set(auto). % 108.96/109.02 dependent: set(auto1). % 108.96/109.02 dependent: set(process_input). % 108.96/109.02 dependent: clear(print_kept). % 108.96/109.02 dependent: clear(print_new_demod). % 108.96/109.02 dependent: clear(print_back_demod). % 108.96/109.02 dependent: clear(print_back_sub). % 108.96/109.02 dependent: set(control_memory). % 108.96/109.02 dependent: assign(max_mem, 12000). % 108.96/109.02 dependent: assign(pick_given_ratio, 4). % 108.96/109.02 dependent: assign(stats_level, 1). % 108.96/109.02 dependent: assign(max_seconds, 10800). % 108.96/109.02 clear(print_given). % 108.96/109.02 % 108.96/109.02 list(usable). % 108.96/109.02 0 [] A=A. % 108.96/109.02 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a)=V_a| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a). % 108.96/109.02 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a)!=V_a|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a). % 108.96/109.02 0 [] hAPP(c_Fun_Ocomp(v_f,v_g,t_a,t_b,t_c),v_x)=hAPP(v_f,hAPP(v_g,v_x)). % 108.96/109.02 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OSemi(V_com1,V_com2). % 108.96/109.02 0 [] c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)|hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))). % 108.96/109.02 0 [] c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a). % 108.96/109.02 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). % 108.96/109.02 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)). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))| -hBOOL(hAPP(V_S,V_x)). % 108.96/109.02 0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)). % 108.96/109.02 0 [] hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),V_Q). % 108.96/109.02 0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 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). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a))). % 108.96/109.02 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)). % 108.96/109.02 0 [] c_Option_Ooption_ONone(T_a)!=c_Option_Ooption_OSome(V_y,T_a). % 108.96/109.02 0 [] c_Option_Ooption_ONone(T_a)!=c_Option_Ooption_OSome(V_a_H,T_a). % 108.96/109.02 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). % 108.96/109.02 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y. % 108.96/109.02 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H. % 108.96/109.02 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). % 108.96/109.02 0 [] c_Com_OWT(c_Com_Ocom_OSKIP). % 108.96/109.02 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Com_OWT(c_Com_Ocom_OAss(V_X,V_a)). % 108.96/109.02 0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b). % 108.96/109.02 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|V_x=V_y| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 108.96/109.02 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y. % 108.96/109.02 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_xa)| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_xa. % 108.96/109.02 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)). % 108.96/109.02 0 [] c_Com_OWT(c_Com_Ocom_OCall(V_X,V_pn,V_a))| -c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn)). % 108.96/109.02 0 [] c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_P))| -c_Com_OWT(c_Com_Ocom_OCall(V_X,V_P,V_a)). % 108.96/109.02 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H). % 108.96/109.02 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H). % 108.96/109.02 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,V_A,T_a). % 108.96/109.02 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. % 108.96/109.02 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)))). % 108.96/109.02 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=V_y. % 108.96/109.02 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b. % 108.96/109.02 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b. % 108.96/109.02 0 [] c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool)!=c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool)|V_R=V_S. % 108.96/109.02 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)). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(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)). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(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)). % 108.96/109.02 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com). % 108.96/109.02 0 [] c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OWhile(V_fun,V_com). % 108.96/109.02 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)). % 108.96/109.02 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)). % 108.96/109.02 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate). % 108.96/109.02 0 [] c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a)=V_g. % 108.96/109.02 0 [] c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a)=V_f. % 108.96/109.02 0 [] c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_c),T_c,T_b)| -c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_A,T_a,T_b). % 108.96/109.02 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))). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),V_B))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_s)|hBOOL(hAPP(V_b,V_s)). % 108.96/109.02 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b). % 108.96/109.02 0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b). % 108.96/109.02 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b). % 108.96/109.02 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H). % 108.96/109.02 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)). % 108.96/109.02 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H). % 108.96/109.02 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 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. % 108.96/109.02 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H). % 108.96/109.02 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)). % 108.96/109.02 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. % 108.96/109.02 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. % 108.96/109.02 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. % 108.96/109.02 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)). % 108.96/109.02 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). % 108.96/109.02 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP. % 108.96/109.02 0 [] c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 108.96/109.02 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com). % 108.96/109.02 0 [] c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(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)). % 108.96/109.02 0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_nat_H). % 108.96/109.02 0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_m). % 108.96/109.02 0 [] c_lesse_quals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b)=V_A| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b). % 108.96/109.02 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a). % 108.96/109.02 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a). % 108.96/109.02 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H. % 108.96/109.02 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H. % 108.96/109.02 0 [] c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H). % 108.96/109.02 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H). % 108.96/109.02 0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com). % 108.96/109.02 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))). % 108.96/109.02 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). % 108.96/109.02 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a). % 108.96/109.02 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a). % 108.96/109.02 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). % 108.96/109.02 0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun). % 108.96/109.02 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)). % 108.96/109.02 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))). % 108.96/109.02 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com). % 108.96/109.02 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))). % 108.96/109.02 0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSemi(V_com1,V_com2). % 108.96/109.02 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. % 108.96/109.02 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. % 108.96/109.02 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. % 108.96/109.02 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a). % 108.96/109.02 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a). % 108.96/109.02 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a. % 108.96/109.02 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a). % 108.96/109.02 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))). % 108.96/109.02 0 [] c_Option_Ooption_OSome(V_a_H,T_a)!=c_Option_Ooption_ONone(T_a). % 108.96/109.02 0 [] c_Option_Ooption_OSome(V_xa,T_a)!=c_Option_Ooption_ONone(T_a). % 108.96/109.02 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2). % 108.96/109.02 0 [] c_Option_Ooption_OSome(V_a,T_a)!=c_Option_Ooption_OSome(V_a_H,T_a)|V_a=V_a_H. % 108.96/109.02 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A. % 108.96/109.02 0 [] c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 108.96/109.02 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)). % 108.96/109.02 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). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))| -hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,V_A,T_a,T_b)))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,V_A,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b). % 108.96/109.02 0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y. % 108.96/109.02 0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H. % 108.96/109.02 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H). % 108.96/109.02 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H). % 108.96/109.02 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)|V_x=V_y. % 108.96/109.02 0 [] hAPP(c_Fun_Ofcomp(v_f,v_g,t_a,t_b,t_c),v_x)=hAPP(v_g,hAPP(v_f,v_x)). % 108.96/109.02 0 [] c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0). % 108.96/109.02 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. % 108.96/109.02 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H). % 108.96/109.02 0 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Set_Oimage(V_f,V_A,T_a,T_b)!=c_Set_Oimage(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)|V_A=V_B. % 108.96/109.02 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OSemi(V_c,V_d)),V_R),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Q),V_d),V_R),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 108.96/109.02 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(V_fun_H,V_com_H). % 108.96/109.02 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)). % 108.96/109.02 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H). % 108.96/109.02 0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 108.96/109.02 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). % 108.96/109.02 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_D,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)). % 108.96/109.02 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))). % 108.96/109.02 0 [] -class_Orderings_Otop(T_b)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x)=c_Orderings_Otop__class_Otop(T_b). % 108.96/109.02 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). % 108.96/109.02 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)). % 108.96/109.02 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)). % 108.96/109.02 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. % 108.96/109.02 0 [] c_lesse_quals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 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). % 108.96/109.02 0 [] -class_HOL_Ominus(T_b)|hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b). % 108.96/109.02 0 [] c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a)=V_A. % 108.96/109.02 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). % 108.96/109.02 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H). % 108.96/109.02 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). % 108.96/109.02 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)). % 108.96/109.02 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)). % 108.96/109.02 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)). % 108.96/109.02 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))). % 108.96/109.02 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))). % 108.96/109.02 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_fun=V_fun_H. % 108.96/109.02 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_com=V_com_H. % 108.96/109.02 0 [] c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c))| -c_Com_OWT(V_c). % 108.96/109.02 0 [] c_Com_OWT(V_c)| -c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c)). % 108.96/109.02 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). % 108.96/109.02 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)). % 108.96/109.02 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)). % 108.96/109.02 0 [] c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),V_A,T_a,T_c)| -c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_c)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 108.96/109.02 0 [] c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c))| -c_Com_OWT(V_c). % 108.96/109.02 0 [] c_Com_OWT(V_c)| -c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c)). % 108.96/109.02 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),T_a). % 108.96/109.02 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP. % 108.96/109.02 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2). % 108.96/109.02 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H). % 108.96/109.02 0 [] V_n=c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1))| -c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1). % 108.96/109.02 0 [] -hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)))| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b). % 108.96/109.02 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). % 108.96/109.02 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun). % 108.96/109.02 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)). % 108.96/109.02 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 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)). % 108.96/109.02 0 [] c_lesse_quals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b). % 108.96/109.02 0 [] V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t). % 108.96/109.02 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))=V_A|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)). % 108.96/109.02 0 [] hAPP(c_Fun_Oid(T_a),V_x)=V_x. % 108.96/109.02 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(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_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)). % 108.96/109.02 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)). % 108.96/109.02 0 [] -class_HOL_Oord(T_b)|c_lesse_quals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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. % 108.96/109.02 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. % 108.96/109.02 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a)=c_Orderings_Otop__class_Otop(T_a). % 108.96/109.02 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a)=c_Orderings_Otop__class_Otop(T_a). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 0 [] -c_lesse_quals(V_x,V_A,tc_fun(T_b,tc_bool))|c_lesse_quals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 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)). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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)). % 108.96/109.02 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)). % 108.96/109.02 0 [] c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a)=V_Y. % 108.96/109.02 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). % 108.96/109.02 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))). % 108.96/109.02 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))). % 108.96/109.02 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)). % 108.96/109.02 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)). % 108.96/109.02 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)). % 108.96/109.02 0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)). % 108.96/109.02 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)). % 108.96/109.02 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)). % 108.96/109.02 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 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. % 108.96/109.02 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. % 108.96/109.02 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)))). % 108.96/109.02 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 0 [] c_lesse_quals(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_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(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_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)). % 108.96/109.02 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)). % 108.96/109.02 0 [] c_lesse_quals(V_R,V_S,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool),c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool),tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool),c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_R,V_S,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H). % 108.96/109.02 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun). % 108.96/109.02 0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a). % 108.96/109.02 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a). % 108.96/109.02 0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP. % 108.96/109.02 0 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s). % 108.96/109.02 0 [] c_Suc(V_nat_H)!=c_HOL_Ozero__class_Ozero(tc_nat). % 108.96/109.02 0 [] c_Suc(V_m)!=c_HOL_Ozero__class_Ozero(tc_nat). % 108.96/109.02 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. % 108.96/109.02 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. % 108.96/109.02 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. % 108.96/109.02 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. % 108.96/109.02 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,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),t_a). % 108.96/109.02 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))). % 108.96/109.02 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OAss(V_vname_H,V_fun_H). % 108.96/109.02 0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)). % 108.96/109.02 0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)). % 108.96/109.02 0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun). % 108.96/109.02 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))). % 108.96/109.02 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))). % 108.96/109.02 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)))). % 108.96/109.02 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))). % 108.96/109.02 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 108.96/109.02 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)). % 108.96/109.02 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))). % 108.96/109.02 0 [] c_lesse_quals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] -class_Orderings_Otop(T_a)|c_lesse_quals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a). % 108.96/109.02 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). % 108.96/109.02 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_fun=V_fun_H. % 108.96/109.02 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_vname=V_vname_H. % 108.96/109.02 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OAss(V_vname,V_fun). % 108.96/109.02 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP. % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OSKIP),V_P),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 108.96/109.02 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)). % 108.96/109.02 0 [] c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)). % 108.96/109.02 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. % 108.96/109.02 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. % 108.96/109.02 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. % 108.96/109.02 0 [] c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0). % 108.96/109.02 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H). % 108.96/109.02 0 [] c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b)=V_f. % 108.96/109.02 0 [] c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b)=V_g. % 108.96/109.02 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSemi(V_com1,V_com2). % 108.96/109.02 0 [] c_Suc(V_n)!=V_n. % 108.96/109.02 0 [] V_n!=c_Suc(V_n). % 108.96/109.02 0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=V_A| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)). % 108.96/109.02 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). % 108.96/109.02 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). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b). % 108.96/109.02 0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a). % 108.96/109.02 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a). % 108.96/109.02 0 [] hBOOL(hAPP(V_Q,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)). % 108.96/109.02 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OSKIP. % 108.96/109.02 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)). % 108.96/109.02 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)). % 108.96/109.02 0 [] c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_C,T_a,T_b). % 108.96/109.02 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))). % 108.96/109.02 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). % 108.96/109.02 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)). % 108.96/109.02 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). % 108.96/109.02 0 [] V_A=c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)). % 108.96/109.02 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)). % 108.96/109.02 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). % 108.96/109.02 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)). % 108.96/109.02 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))). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 108.96/109.02 0 [] c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a). % 108.96/109.02 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a). % 108.96/109.02 0 [] c_Com_Ocom_OAss(V_vname_H,V_fun_H)!=c_Com_Ocom_OSKIP. % 108.96/109.02 0 [] c_lesse_quals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_D,tc_fun(T_a,tc_bool)). % 108.96/109.02 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). % 108.96/109.02 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)). % 108.96/109.02 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H). % 108.96/109.02 0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)). % 108.96/109.02 0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)). % 108.96/109.02 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). % 108.96/109.02 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H). % 108.96/109.02 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a). % 108.96/109.02 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)). % 108.96/109.02 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)). % 108.96/109.02 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)). % 108.96/109.02 0 [] c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)). % 108.96/109.02 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)). % 108.96/109.02 0 [] c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b). % 108.96/109.02 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b). % 108.96/109.02 0 [] -class_OrderedGroup_Olordered__ab__group__add(t_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a)=c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a). % 108.96/109.02 0 [] hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),V_R,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),V_S,t_a,tc_fun(t_a,tc_bool),tc_bool),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))). % 108.96/109.02 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)). % 108.96/109.02 0 [] hAPP(c_Fun_Oid(t_a),v_x)=v_x. % 108.96/109.02 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)). % 108.96/109.02 0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OSKIP. % 108.96/109.02 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=hAPP(c_Com_Ocom_OBODY,V_pname_H). % 108.96/109.02 0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,hAPP(c_Com_Ocom_OBODY,V_pname),T_a)=hAPP(V_f7,V_pname). % 108.96/109.02 0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2). % 108.96/109.02 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=hAPP(c_Com_Ocom_OBODY,V_pname_H). % 108.96/109.02 0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OAss(V_vname,V_fun). % 108.96/109.02 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=hAPP(c_Com_Ocom_OBODY,V_pname_H). % 108.96/109.02 0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com). % 108.96/109.02 0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OWhile(V_fun,V_com). % 108.96/109.02 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=hAPP(c_Com_Ocom_OBODY,V_pname). % 108.96/109.02 0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OSemi(V_com1,V_com2). % 108.96/109.02 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=hAPP(c_Com_Ocom_OBODY,V_pname_H). % 108.96/109.02 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=hAPP(c_Com_Ocom_OBODY,V_pname_H). % 108.96/109.02 0 [] hAPP(c_Com_Ocom_OBODY,V_pname)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H). % 108.96/109.02 0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,hAPP(c_Com_Ocom_OBODY,V_pname),T_a)=hAPP(V_f7,V_pname). % 108.96/109.02 0 [] c_Com_Ocom_OSKIP!=hAPP(c_Com_Ocom_OBODY,V_pname_H). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),T_a). % 108.96/109.02 0 [] -hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),V_xa),V_xb),V_xc),t_b,t_a)))|hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_xa),V_xb),V_xc))). % 108.96/109.02 0 [] -hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),V_fun1),V_com),V_fun2),t_b,t_a)))|hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2))). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1),V_com),V_fun2),T_b,T_a)=hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1),V_com),V_fun2),T_b,T_a)=hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)). % 108.96/109.02 0 [] c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn))|hAPP(c_Com_Obody,V_pn)=c_Option_Ooption_ONone(tc_Com_Ocom). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,V_c2),V_s),V_t))|hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,V_c1),V_s),V_t))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(V_b,V_c1,V_c2)),V_s),V_t)). % 108.96/109.02 0 [] hBOOL(hAPP(V_b,V_s))|V_t=V_s| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(V_b,V_c)),V_s),V_t)). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(V_b,V_c0,V_c1)),V_s),V_s1))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,V_c1),V_s),V_s1))|hBOOL(hAPP(V_b,V_s)). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,V_c2),V_s),V_t))|hBOOL(hAPP(V_b,V_s))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(V_b,V_c1,V_c2)),V_s),V_t)). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),V_s),V_s)). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(V_b,V_c)),V_s),V_s))|hBOOL(hAPP(V_b,V_s)). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(V_b,V_c)),V_s0),V_s2))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(V_b,V_c)),V_s1),V_s2))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,V_c),V_s0),V_s1))| -hBOOL(hAPP(V_b,V_s0)). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(V_b,V_c0,V_c1)),V_s),V_s1))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,V_c0),V_s),V_s1))| -hBOOL(hAPP(V_b,V_s)). % 108.96/109.02 0 [] -hBOOL(hAPP(V_b,V_s))|hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,V_c1),V_s),V_t))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(V_b,V_c1,V_c2)),V_s),V_t)). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,V_c1),V_s1),V_s2))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,V_c0),V_s0),V_s1)). % 108.96/109.02 0 [] V_t=V_s| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),V_s),V_t)). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,V_c),V_s),V_t))| -c_Natural_Oevaln(V_c,V_s,V_n,V_t). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,V_c),V_s),V_t))| -c_Natural_Oevaln(V_c,V_s,V_x,V_t). % 108.96/109.02 0 [] hAPP(c_Option_Othe(T_a),c_Option_Ooption_OSome(V_x,T_a))=V_x. % 108.96/109.02 0 [] c_Hoare__Mirabelle_OMGT(v_c)=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fe_qual(tc_Com_Ostate)),v_c),hAPP(c_Natural_Oevalc,v_c)). % 108.96/109.02 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). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,V_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,V_pn)),V_G,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate). % 108.96/109.02 0 [] c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1),V_s1)| -c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1). % 108.96/109.02 0 [] c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,c_Suc(V_n),V_s1)| -c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_n,V_s1). % 108.96/109.02 0 [] c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a). % 108.96/109.02 0 [] c_Set_Oimage(V_f,V_A,T_a,T_b)!=c_Set_Oimage(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)|V_A=V_B. % 108.96/109.02 0 [] c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),T_a)| -c_Hoare__Mirabelle_Otriple__valid(V_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),T_a). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),T_a)| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),T_a). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(V_P,V_pn)),hAPP(c_Com_Ocom_OBODY,V_pn)),hAPP(V_Q,V_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),V_pn),V_Procs))| -c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 108.96/109.02 0 [] c_Hoare__Mirabelle_OMGT(V_c)=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fe_qual(tc_Com_Ostate)),V_c),hAPP(c_Natural_Oevalc,V_c)). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),V_G,tc_Hoare__Mirabelle_Otriple(T_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 108.96/109.02 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)). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1)). % 108.96/109.02 0 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1)). % 108.96/109.02 0 [] c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a)=c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a). % 108.96/109.02 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a). % 108.96/109.02 0 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)|V_fun2=V_fun2_H. % 108.96/109.03 0 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)|V_com=V_com_H. % 108.96/109.03 0 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)|V_fun1=V_fun1_H. % 108.96/109.03 0 [] V_u=V_t| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,V_c),V_s),V_u))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,V_c),V_s),V_t)). % 108.96/109.03 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)). % 108.96/109.03 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)). % 108.96/109.03 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)). % 108.96/109.03 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). % 108.96/109.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A. % 108.96/109.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x. % 108.96/109.03 0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)). % 108.96/109.03 0 [] hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)). % 108.96/109.03 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)). % 108.96/109.03 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)). % 108.96/109.03 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). % 108.96/109.03 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). % 108.96/109.03 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). % 108.96/109.03 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). % 108.96/109.03 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)). % 108.96/109.03 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). % 108.96/109.03 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). % 108.96/109.03 0 [] hAPP(c_Com_Ocom_OBODY,V_pname)!=hAPP(c_Com_Ocom_OBODY,V_pname_H)|V_pname=V_pname_H. % 108.96/109.03 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)). % 108.96/109.03 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). % 108.96/109.03 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). % 108.96/109.03 0 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(v_G,c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fe_qual(tc_Com_Ostate)),c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fe_qual(tc_Com_Ostate)),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate). % 108.96/109.03 0 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)). % 108.96/109.03 0 [] -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)). % 108.96/109.03 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1). % 108.96/109.03 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1). % 108.96/109.03 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1). % 108.96/109.03 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1). % 108.96/109.03 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1). % 108.96/109.03 0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1). % 108.96/109.03 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1). % 108.96/109.03 0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1). % 108.96/109.03 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1). % 108.96/109.03 0 [] class_Lattices_Oupper__semilattice(tc_nat). % 108.96/109.03 0 [] class_Orderings_Opreorder(tc_nat). % 108.96/109.03 0 [] class_Orderings_Olinorder(tc_nat). % 108.96/109.03 0 [] class_Lattices_Olattice(tc_nat). % 108.96/109.03 0 [] class_Orderings_Oorder(tc_nat). % 108.96/109.03 0 [] class_Orderings_Obot(tc_nat). % 108.96/109.03 0 [] class_HOL_Ominus(tc_nat). % 108.96/109.03 0 [] class_HOL_Oord(tc_nat). % 108.96/109.03 0 [] class_Lattices_Oupper__semilattice(tc_bool). % 108.96/109.03 0 [] class_Lattices_Obounded__lattice(tc_bool). % 108.96/109.03 0 [] class_Orderings_Opreorder(tc_bool). % 108.96/109.03 0 [] class_Lattices_Olattice(tc_bool). % 108.96/109.03 0 [] class_Orderings_Oorder(tc_bool). % 108.96/109.03 0 [] class_Orderings_Otop(tc_bool). % 108.96/109.03 0 [] class_Orderings_Obot(tc_bool). % 108.96/109.03 0 [] class_HOL_Ominus(tc_bool). % 108.96/109.03 0 [] class_HOL_Oord(tc_bool). % 108.96/109.03 0 [] hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)). % 108.96/109.03 0 [] hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),V_Q). % 108.96/109.03 0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)). % 108.96/109.03 0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)). % 108.96/109.03 0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)). % 108.96/109.03 end_of_list. % 108.96/109.03 % 108.96/109.03 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5. % 108.96/109.03 % 108.96/109.03 This ia a non-Horn set with equality. The strategy will be % 108.96/109.03 Knuth-Bendix, ordered hyper_res, factoring, and unit % 108.96/109.03 deletion, with positive clauses in sos and nonpositive % 108.96/109.03 clauses in usable. % 108.96/109.03 % 108.96/109.03 dependent: set(knuth_bendix). % 108.96/109.03 dependent: set(anl_eq). % 108.96/109.03 dependent: set(para_from). % 108.96/109.03 dependent: set(para_into). % 108.96/109.03 dependent: clear(para_from_right). % 108.96/109.03 dependent: clear(para_into_right). % 108.96/109.03 dependent: set(para_from_vars). % 108.96/109.03 dependent: set(eq_units_both_ways). % 108.96/109.03 dependent: set(dynamic_demod_all). % 108.96/109.03 dependent: set(dynamic_demod). % 108.96/109.03 dependent: set(order_eq). % 108.96/109.03 dependent: set(back_demod). % 108.96/109.03 dependent: set(lrpo). % 108.96/109.03 dependent: set(hyper_res). % 108.96/109.03 dependent: set(unit_deletion). % 108.96/109.03 dependent: set(factor). % 108.96/109.03 % 108.96/109.03 ------------> process usable: % 108.96/109.03 ** KEPT (pick-wt=12): 1 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A)=B| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A). % 108.96/109.03 ** KEPT (pick-wt=12): 2 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A)!=B|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A). % 108.96/109.03 ** KEPT (pick-wt=8): 3 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E). % 108.96/109.03 ** KEPT (pick-wt=37): 4 [] c_Fun_Oinj__on(A,c_Set_Oinsert(B,C,D),D,E)|hBOOL(hAPP(hAPP(c_in(E),hAPP(A,B)),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),D,E)))| -c_Fun_Oinj__on(A,C,D,E). % 108.96/109.03 ** KEPT (pick-wt=17): 5 [] c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -c_Natural_Oevaln(B,D,E,F)| -hBOOL(hAPP(A,D)). % 108.96/109.03 ** KEPT (pick-wt=17): 6 [] -hBOOL(hAPP(A,B))|c_Natural_Oevaln(C,B,D,E)| -c_Natural_Oevaln(c_Com_Ocom_OCond(A,C,F),B,D,E). % 108.96/109.03 ** KEPT (pick-wt=11): 7 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(C,B)). % 108.96/109.03 ** KEPT (pick-wt=11): 8 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),A)). % 108.96/109.03 ** KEPT (pick-wt=23): 9 [] 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)). % 108.96/109.03 ** KEPT (pick-wt=6): 10 [] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A). % 108.96/109.03 Following clause subsumed by 10 during input processing: 0 [] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A). % 108.96/109.03 ** KEPT (pick-wt=14): 11 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C. % 108.96/109.03 ** KEPT (pick-wt=14): 12 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D. % 108.96/109.03 ** KEPT (pick-wt=17): 13 [] 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). % 108.96/109.03 ** KEPT (pick-wt=29): 14 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))|B=C| -c_Fun_Oinj__on(A,E,D,F). % 108.96/109.03 Following clause subsumed by 14 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C. % 108.96/109.03 Following clause subsumed by 14 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C. % 108.96/109.03 Following clause subsumed by 14 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(hAPP(hAPP(c_in(E),C),D))| -hBOOL(hAPP(hAPP(c_in(E),B),D)). % 108.96/109.03 ** KEPT (pick-wt=9): 15 [] c_Com_OWT(c_Com_Ocom_OCall(A,B,C))| -c_Com_OWT(hAPP(c_Com_Ocom_OBODY,B)). % 108.96/109.03 ** KEPT (pick-wt=9): 16 [] c_Com_OWT(hAPP(c_Com_Ocom_OBODY,A))| -c_Com_OWT(c_Com_Ocom_OCall(B,A,C)). % 108.96/109.03 ** KEPT (pick-wt=19): 17 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)). % 108.96/109.03 ** KEPT (pick-wt=6): 19 [copy,18,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP. % 108.96/109.03 ** KEPT (pick-wt=8): 20 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E). % 108.96/109.03 ** KEPT (pick-wt=18): 21 [] 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. % 108.96/109.03 ** KEPT (pick-wt=14): 22 [] -hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))). % 108.96/109.03 ** KEPT (pick-wt=14): 23 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C. % 108.96/109.03 ** KEPT (pick-wt=12): 24 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C. % 108.96/109.03 ** KEPT (pick-wt=12): 25 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C. % 108.96/109.03 ** KEPT (pick-wt=22): 26 [] c_COMBC(c_in(A),B,A,tc_fun(A,tc_bool),tc_bool)!=c_COMBC(c_in(A),C,A,tc_fun(A,tc_bool),tc_bool)|B=C. % 108.96/109.03 ** KEPT (pick-wt=16): 27 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),B)). % 108.96/109.03 ** KEPT (pick-wt=20): 28 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)),tc_Hoare__Mirabelle_Otriple(C)),C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,D,tc_Hoare__Mirabelle_Otriple(C)),C). % 108.96/109.03 ** KEPT (pick-wt=26): 29 [] hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool))))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)). % 108.96/109.03 Following clause subsumed by 29 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool))))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)). % 108.96/109.03 ** KEPT (pick-wt=9): 30 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F). % 108.96/109.03 ** KEPT (pick-wt=33): 31 [] c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E)=c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E). % 108.96/109.03 ** KEPT (pick-wt=16): 32 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_lesse_quals(c_Set_Oinsert(B,D,A),C,tc_fun(A,tc_bool)). % 108.96/109.03 ** KEPT (pick-wt=8): 33 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E). % 108.96/109.03 ** KEPT (pick-wt=11): 34 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)). % 108.96/109.03 ** KEPT (pick-wt=23): 35 [] 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)). % 108.96/109.03 ** KEPT (pick-wt=22): 36 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)). % 108.96/109.03 ** KEPT (pick-wt=63): 37 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),A),B),C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),A),B),C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(B),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate). % 108.96/109.03 ** KEPT (pick-wt=19): 38 [] c_Fun_Oinj__on(A,c_Set_Oimage(B,C,D,E),E,F)| -c_Fun_Oinj__on(c_Fun_Ocomp(A,B,E,F,D),C,D,F). % 108.96/109.03 ** KEPT (pick-wt=16): 39 [] A=B| -hBOOL(hAPP(hAPP(c_in(C),A),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))). % 108.96/109.03 ** KEPT (pick-wt=26): 40 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),F))| -c_lesse_quals(c_Set_Oimage(B,F,E,A),D,tc_fun(A,tc_bool)). % 108.96/109.03 ** KEPT (pick-wt=33): 41 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -hBOOL(hAPP(hAPP(c_in(C),B),A))| -c_lesse_quals(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)). % 108.96/109.03 ** KEPT (pick-wt=33): 42 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),B),A))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)). % 108.96/109.03 Following clause subsumed by 42 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),B),A))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)). % 108.96/109.03 ** KEPT (pick-wt=28): 43 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool))| -c_Fun_Oinj__on(D,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,E). % 108.96/109.03 ** KEPT (pick-wt=28): 44 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D). % 108.96/109.03 ** KEPT (pick-wt=13): 45 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Set_Oinsert(E,B,C),C,D). % 108.96/109.03 ** KEPT (pick-wt=9): 46 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F). % 108.96/109.03 ** KEPT (pick-wt=23): 47 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool))| -hBOOL(hAPP(hAPP(c_in(C),A),D)). % 108.96/109.03 ** KEPT (pick-wt=9): 48 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F). % 108.96/109.03 ** KEPT (pick-wt=15): 49 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Set_Oinsert(D,A,C),B,tc_fun(C,tc_bool)). % 108.96/109.03 ** KEPT (pick-wt=15): 50 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool)). % 108.96/109.03 ** KEPT (pick-wt=7): 51 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D). % 108.96/109.03 ** KEPT (pick-wt=12): 52 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|C=F. % 108.96/109.03 ** KEPT (pick-wt=12): 53 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|B=E. % 108.96/109.03 ** KEPT (pick-wt=12): 54 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|A=D. % 108.96/109.03 ** KEPT (pick-wt=11): 55 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A). % 108.96/109.03 ** KEPT (pick-wt=5): 56 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP. % 108.96/109.03 ** KEPT (pick-wt=15): 57 [] c_Fun_Oinj__on(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E)| -c_Fun_Oinj__on(A,B,D,E). % 108.96/109.03 ** KEPT (pick-wt=8): 58 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E). % 108.96/109.03 ** KEPT (pick-wt=5): 60 [copy,59,flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat). % 108.96/109.03 Following clause subsumed by 60 during input processing: 0 [flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat). % 108.96/109.03 ** KEPT (pick-wt=19): 61 [] c_Set_Ovimage(A,c_Set_Oimage(A,B,C,D),C,D)=B| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D). % 108.96/109.03 ** KEPT (pick-wt=9): 62 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A). % 108.96/109.03 ** KEPT (pick-wt=7): 63 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A). % 108.96/109.03 ** KEPT (pick-wt=10): 64 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D. % 108.96/109.03 ** KEPT (pick-wt=10): 65 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C. % 108.96/109.03 ** KEPT (pick-wt=7): 66 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D). % 108.96/109.03 ** KEPT (pick-wt=8): 67 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E). % 108.96/109.03 ** KEPT (pick-wt=9): 68 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)). % 108.96/109.03 ** KEPT (pick-wt=8): 69 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E). % 108.96/109.03 ** KEPT (pick-wt=9): 70 [] c_Hoare__Mirabelle_Otriple__valid(A,B,C)| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(A),B,C). % 108.96/109.03 ** KEPT (pick-wt=13): 71 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A)!=c_HOL_Ozero__class_Ozero(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A). % 108.96/109.03 ** KEPT (pick-wt=13): 72 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A)=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A). % 108.96/109.03 ** KEPT (pick-wt=8): 73 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E). % 108.96/109.03 ** KEPT (pick-wt=14): 74 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)). % 108.96/109.03 ** KEPT (pick-wt=8): 75 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E). % 108.96/109.03 ** KEPT (pick-wt=19): 76 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))). % 108.96/109.03 ** KEPT (pick-wt=9): 77 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F). % 108.96/109.03 ** KEPT (pick-wt=19): 78 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(D,C,tc_fun(A,tc_bool)))). % 108.96/109.03 ** KEPT (pick-wt=8): 79 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E). % 108.96/109.03 ** KEPT (pick-wt=12): 80 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|C=F. % 108.96/109.03 ** KEPT (pick-wt=12): 81 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|B=E. % 108.96/109.03 ** KEPT (pick-wt=12): 82 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|A=D. % 108.96/109.03 ** KEPT (pick-wt=9): 83 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A). % 108.96/109.03 ** KEPT (pick-wt=9): 84 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A). % 108.96/109.03 ** KEPT (pick-wt=9): 85 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(A),A)=B. % 108.96/109.03 Following clause subsumed by 84 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A). % 108.96/109.03 ** KEPT (pick-wt=11): 86 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A). % 108.96/109.03 ** KEPT (pick-wt=6): 87 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B). % 108.96/109.03 Following clause subsumed by 87 during input processing: 0 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B). % 108.96/109.03 ** KEPT (pick-wt=9): 88 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F). % 108.96/109.03 ** KEPT (pick-wt=10): 89 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_OSome(C,B)|A=C. % 108.96/109.03 ** KEPT (pick-wt=28): 90 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D)))| -c_Fun_Oinj__on(E,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,D). % 108.96/109.03 ** KEPT (pick-wt=28): 91 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D))| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,A). % 108.96/109.03 ** KEPT (pick-wt=8): 92 [] c_Suc(A)!=c_Suc(B)|A=B. % 108.96/109.03 Following clause subsumed by 92 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B. % 108.96/109.03 ** KEPT (pick-wt=7): 93 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D). % 108.96/109.03 ** KEPT (pick-wt=8): 94 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E). % 108.96/109.03 ** KEPT (pick-wt=18): 95 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E)|B=C. % 108.96/109.03 ** KEPT (pick-wt=9): 96 [] c_Com_OWT(c_Com_Ocom_OCond(A,B,C))| -c_Com_OWT(C)| -c_Com_OWT(B). % 108.96/109.03 ** KEPT (pick-wt=8): 97 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E). % 108.96/109.03 ** KEPT (pick-wt=22): 98 [] c_Set_Oimage(A,B,C,D)!=c_Set_Oimage(A,E,C,D)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D)|B=E. % 108.96/109.03 ** KEPT (pick-wt=8): 99 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E). % 108.96/109.03 ** KEPT (pick-wt=59): 100 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),c_Com_Ocom_OSemi(D,E)),F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),G),E),F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),D),G),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B). % 108.96/109.03 Following clause subsumed by 56 during input processing: 0 [flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP. % 108.96/109.03 ** KEPT (pick-wt=7): 101 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)). % 108.96/109.03 ** KEPT (pick-wt=6): 103 [copy,102,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP. % 108.96/109.03 ** KEPT (pick-wt=9): 104 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 108.96/109.03 ** KEPT (pick-wt=11): 105 [] c_Natural_Oevaln(A,B,c_Suc(C),D)| -c_Natural_Oevaln(A,B,C,D). % 108.96/109.03 ** KEPT (pick-wt=28): 106 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(E,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)). % 108.96/109.03 ** KEPT (pick-wt=20): 107 [] hBOOL(hAPP(hAPP(c_in(A),B),C))|B=D| -hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(D,C,A))). % 108.96/109.03 ** KEPT (pick-wt=11): 108 [] -class_Orderings_Otop(A)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,A)),v_x)=c_Orderings_Otop__class_Otop(A). % 108.96/109.03 ** KEPT (pick-wt=17): 109 [] c_Natural_Oevaln(A,B,C,D)|hBOOL(hAPP(E,B))| -c_Natural_Oevaln(c_Com_Ocom_OCond(E,F,A),B,C,D). % 108.96/109.03 ** KEPT (pick-wt=22): 110 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),D),A))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)). % 108.96/109.03 Following clause subsumed by 50 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)). % 108.96/109.03 Following clause subsumed by 110 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),D),A)). % 108.96/109.03 ** KEPT (pick-wt=26): 111 [] 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. % 108.96/109.03 ** KEPT (pick-wt=20): 112 [] c_lesse_quals(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(D,tc_bool)). % 108.96/109.03 ** KEPT (pick-wt=23): 113 [] 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). % 108.96/109.03 ** KEPT (pick-wt=19): 114 [] -class_HOL_Ominus(A)|hAPP(c_HOL_Ominus__class_Ominus(B,C,tc_fun(t_a,A)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(B,v_x),hAPP(C,v_x),A). % 108.96/109.03 ** KEPT (pick-wt=8): 115 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E). % 108.96/109.03 ** KEPT (pick-wt=20): 116 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)). % 108.96/109.03 Following clause subsumed by 116 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)). % 108.96/109.03 Following clause subsumed by 116 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)). % 108.96/109.03 ** KEPT (pick-wt=20): 117 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))). % 108.96/109.03 Following clause subsumed by 117 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))). % 108.96/109.03 ** KEPT (pick-wt=10): 118 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|A=C. % 108.96/109.03 ** KEPT (pick-wt=10): 119 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|B=D. % 108.96/109.03 ** KEPT (pick-wt=6): 120 [] c_Com_OWT(c_Com_Ocom_OWhile(A,B))| -c_Com_OWT(B). % 108.96/109.03 ** KEPT (pick-wt=6): 121 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OWhile(B,A)). % 108.96/109.03 ** KEPT (pick-wt=13): 122 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(hAPP(hAPP(c_in(C),A),B)). % 108.96/109.03 ** KEPT (pick-wt=24): 123 [] c_Fun_Oinj__on(c_Fun_Ocomp(A,B,C,D,E),F,E,D)| -c_Fun_Oinj__on(A,c_Set_Oimage(B,F,E,C),C,D)| -c_Fun_Oinj__on(B,F,E,C). % 108.96/109.03 ** KEPT (pick-wt=7): 124 [] c_Com_OWT(c_Com_Ocom_OLocal(A,B,C))| -c_Com_OWT(C). % 108.96/109.03 ** KEPT (pick-wt=7): 125 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OLocal(B,C,A)). % 108.96/109.03 ** KEPT (pick-wt=9): 126 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A),A). % 108.96/109.03 Following clause subsumed by 19 during input processing: 0 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP. % 108.96/109.03 ** KEPT (pick-wt=8): 127 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E). % 108.96/109.03 ** KEPT (pick-wt=8): 128 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E). % 108.96/109.03 ** KEPT (pick-wt=15): 130 [copy,129,flip.1] c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(A,B,C,D))=B| -c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,A),C,B,D). % 108.96/109.03 ** KEPT (pick-wt=32): 131 [] -hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,c_HOL_Ominus__class_Ominus(D,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,A)))| -c_Fun_Oinj__on(B,c_Set_Oinsert(C,D,E),E,A). % 108.96/109.03 ** KEPT (pick-wt=8): 132 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E). % 108.96/109.03 Following clause subsumed by 50 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=28): 133 [] c_lesse_quals(c_Set_Ovimage(A,B,C,D),E,tc_fun(C,tc_bool))| -c_lesse_quals(B,c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D). % 108.96/109.04 ** KEPT (pick-wt=8): 134 [] A=B| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,B,C,A). % 108.96/109.04 ** KEPT (pick-wt=22): 135 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=22): 136 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=16): 137 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)). % 108.96/109.04 ** KEPT (pick-wt=13): 138 [] -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). % 108.96/109.04 ** KEPT (pick-wt=13): 139 [] -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). % 108.96/109.04 ** KEPT (pick-wt=13): 140 [] -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). % 108.96/109.04 ** KEPT (pick-wt=13): 141 [] -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). % 108.96/109.04 Following clause subsumed by 138 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). % 108.96/109.04 Following clause subsumed by 139 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). % 108.96/109.04 ** KEPT (pick-wt=12): 142 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A). % 108.96/109.04 ** KEPT (pick-wt=12): 143 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A). % 108.96/109.04 ** KEPT (pick-wt=12): 144 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A). % 108.96/109.04 ** KEPT (pick-wt=9): 145 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B. % 108.96/109.04 ** KEPT (pick-wt=9): 146 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B. % 108.96/109.04 ** KEPT (pick-wt=10): 147 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(A),B,A)=c_Orderings_Otop__class_Otop(A). % 108.96/109.04 ** KEPT (pick-wt=10): 148 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Otop__class_Otop(A),A)=c_Orderings_Otop__class_Otop(A). % 108.96/109.04 ** KEPT (pick-wt=17): 149 [] -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). % 108.96/109.04 ** KEPT (pick-wt=9): 150 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A). % 108.96/109.04 ** KEPT (pick-wt=9): 151 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A). % 108.96/109.04 Following clause subsumed by 149 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). % 108.96/109.04 Following clause subsumed by 149 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). % 108.96/109.04 ** KEPT (pick-wt=9): 152 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A). % 108.96/109.04 ** KEPT (pick-wt=9): 153 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A). % 108.96/109.04 ** KEPT (pick-wt=13): 154 [] -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). % 108.96/109.04 ** KEPT (pick-wt=13): 155 [] -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). % 108.96/109.04 ** KEPT (pick-wt=20): 156 [] -c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)). % 108.96/109.04 Following clause subsumed by 156 during input processing: 0 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=16): 157 [] 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)). % 108.96/109.04 ** KEPT (pick-wt=16): 158 [] 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)). % 108.96/109.04 ** KEPT (pick-wt=20): 159 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))). % 108.96/109.04 Following clause subsumed by 159 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))). % 108.96/109.04 Following clause subsumed by 159 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)). % 108.96/109.04 Following clause subsumed by 159 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)). % 108.96/109.04 ** KEPT (pick-wt=17): 160 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=17): 161 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=19): 162 [] 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)). % 108.96/109.04 ** KEPT (pick-wt=19): 163 [] 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)). % 108.96/109.04 ** KEPT (pick-wt=28): 164 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=14): 165 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=14): 166 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=14): 167 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=26): 168 [] 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)))). % 108.96/109.04 ** KEPT (pick-wt=23): 169 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)). % 108.96/109.04 Following clause subsumed by 169 during input processing: 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=17): 170 [] c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -c_Natural_Oevaln(C,D,E,F)|hBOOL(hAPP(A,D)). % 108.96/109.04 ** KEPT (pick-wt=28): 171 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_COMBC(c_in(C),A,C,tc_fun(C,tc_bool),tc_bool),c_COMBC(c_in(C),B,C,tc_fun(C,tc_bool),tc_bool),tc_fun(C,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=28): 172 [] c_lesse_quals(c_COMBC(c_in(A),B,A,tc_fun(A,tc_bool),tc_bool),c_COMBC(c_in(A),C,A,tc_fun(A,tc_bool),tc_bool),tc_fun(A,tc_bool))| -c_lesse_quals(B,C,tc_fun(A,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=8): 173 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E). % 108.96/109.04 ** KEPT (pick-wt=7): 174 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D). % 108.96/109.04 ** KEPT (pick-wt=15): 175 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)). % 108.96/109.04 Following clause subsumed by 175 during input processing: 0 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=13): 176 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A). % 108.96/109.04 Following clause subsumed by 176 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A). % 108.96/109.04 Following clause subsumed by 176 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A). % 108.96/109.04 ** KEPT (pick-wt=14): 177 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A). % 108.96/109.04 ** KEPT (pick-wt=14): 178 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,C,A). % 108.96/109.04 Following clause subsumed by 103 during input processing: 0 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP. % 108.96/109.04 Following clause subsumed by 60 during input processing: 0 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat). % 108.96/109.04 Following clause subsumed by 60 during input processing: 0 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat). % 108.96/109.04 ** KEPT (pick-wt=27): 179 [] 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. % 108.96/109.04 ** KEPT (pick-wt=27): 180 [] 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. % 108.96/109.04 ** KEPT (pick-wt=27): 181 [] 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. % 108.96/109.04 ** KEPT (pick-wt=27): 182 [] 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. % 108.96/109.04 ** KEPT (pick-wt=28): 183 [] 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,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),G),D),A),t_a). % 108.96/109.04 ** KEPT (pick-wt=5): 185 [copy,184,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP. % 108.96/109.04 ** KEPT (pick-wt=6): 186 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(B,A)). % 108.96/109.04 ** KEPT (pick-wt=6): 187 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(A,B)). % 108.96/109.04 ** KEPT (pick-wt=15): 188 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=7): 189 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D). % 108.96/109.04 ** KEPT (pick-wt=9): 190 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A). % 108.96/109.04 ** KEPT (pick-wt=10): 191 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))). % 108.96/109.04 Following clause subsumed by 191 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))). % 108.96/109.04 Following clause subsumed by 191 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)))). % 108.96/109.04 Following clause subsumed by 191 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))). % 108.96/109.04 ** KEPT (pick-wt=22): 192 [] 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))). % 108.96/109.04 ** KEPT (pick-wt=7): 193 [] -class_Orderings_Otop(A)|c_lesse_quals(B,c_Orderings_Otop__class_Otop(A),A). % 108.96/109.04 ** KEPT (pick-wt=10): 194 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|B=D. % 108.96/109.04 ** KEPT (pick-wt=10): 195 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|A=C. % 108.96/109.04 ** KEPT (pick-wt=8): 196 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E). % 108.96/109.04 ** KEPT (pick-wt=5): 197 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP. % 108.96/109.04 ** KEPT (pick-wt=22): 198 [] c_lesse_quals(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -hBOOL(hAPP(hAPP(c_in(C),A),D)). % 108.96/109.04 ** KEPT (pick-wt=12): 199 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|C=F. % 108.96/109.04 ** KEPT (pick-wt=12): 200 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|B=E. % 108.96/109.04 ** KEPT (pick-wt=12): 201 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|A=D. % 108.96/109.04 ** KEPT (pick-wt=8): 202 [] c_Com_OWT(c_Com_Ocom_OSemi(A,B))| -c_Com_OWT(B)| -c_Com_OWT(A). % 108.96/109.04 ** KEPT (pick-wt=6): 204 [copy,203,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP. % 108.96/109.04 ** KEPT (pick-wt=7): 205 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D). % 108.96/109.04 ** KEPT (pick-wt=4): 206 [] c_Suc(A)!=A. % 108.96/109.04 Following clause subsumed by 206 during input processing: 0 [flip.1] c_Suc(A)!=A. % 108.96/109.04 ** KEPT (pick-wt=24): 207 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=B| -hBOOL(hAPP(hAPP(c_in(C),A),B)). % 108.96/109.04 ** KEPT (pick-wt=14): 208 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A). % 108.96/109.04 ** KEPT (pick-wt=14): 209 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A). % 108.96/109.04 ** KEPT (pick-wt=20): 210 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lesse_quals(D,C,tc_fun(A,tc_bool)). % 108.96/109.04 Following clause subsumed by 210 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lesse_quals(D,C,tc_fun(A,tc_bool)). % 108.96/109.04 Following clause subsumed by 210 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_lesse_quals(D,C,tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_in(A),B),D)). % 108.96/109.04 Following clause subsumed by 210 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lesse_quals(D,C,tc_fun(A,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=18): 211 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=16): 212 [] c_Fun_Oinj__on(A,B,C,D)| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(A,E,C,D). % 108.96/109.04 ** KEPT (pick-wt=14): 213 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=6): 214 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A). % 108.96/109.04 ** KEPT (pick-wt=6): 215 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A). % 108.96/109.04 Following clause subsumed by 213 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)). % 108.96/109.04 Following clause subsumed by 204 during input processing: 0 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP. % 108.96/109.04 ** KEPT (pick-wt=17): 216 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)). % 108.96/109.04 Following clause subsumed by 216 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)). % 108.96/109.04 ** KEPT (pick-wt=42): 217 [] c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E)=c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool))| -c_lesse_quals(C,F,tc_fun(D,tc_bool))| -c_lesse_quals(B,F,tc_fun(D,tc_bool))| -c_Fun_Oinj__on(A,F,D,E). % 108.96/109.04 ** KEPT (pick-wt=24): 218 [] 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)). % 108.96/109.04 ** KEPT (pick-wt=28): 219 [] 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). % 108.96/109.04 ** KEPT (pick-wt=27): 220 [] A=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=14): 221 [] hBOOL(hAPP(A,B))|C=B| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,D),B,E,C). % 108.96/109.04 ** KEPT (pick-wt=14): 222 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)). % 108.96/109.04 ** KEPT (pick-wt=14): 223 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))). % 108.96/109.04 ** KEPT (pick-wt=24): 224 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,C,tc_Hoare__Mirabelle_Otriple(D)),D)| -c_Hoare__Mirabelle_Ohoare__derivs(A,C,D)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(D),tc_bool)),tc_Hoare__Mirabelle_Otriple(D)),D). % 108.96/109.04 ** KEPT (pick-wt=25): 225 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=C| -c_lesse_quals(A,B,tc_fun(D,tc_bool))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=19): 226 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A). % 108.96/109.04 ** KEPT (pick-wt=19): 227 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A). % 108.96/109.04 Following clause subsumed by 185 during input processing: 0 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP. % 108.96/109.04 ** KEPT (pick-wt=18): 228 [] c_lesse_quals(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=18): 229 [] 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). % 108.96/109.04 ** KEPT (pick-wt=9): 230 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F). % 108.96/109.04 ** KEPT (pick-wt=7): 231 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OCond(B,C,A)). % 108.96/109.04 ** KEPT (pick-wt=7): 232 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OCond(B,A,C)). % 108.96/109.04 Following clause subsumed by 197 during input processing: 0 [flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP. % 108.96/109.04 ** KEPT (pick-wt=10): 233 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A). % 108.96/109.04 ** KEPT (pick-wt=17): 234 [] 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)). % 108.96/109.04 ** KEPT (pick-wt=17): 235 [] 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)). % 108.96/109.04 ** KEPT (pick-wt=15): 236 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(E,B,tc_fun(C,tc_bool)),C,D). % 108.96/109.04 ** KEPT (pick-wt=15): 237 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D). % 108.96/109.04 ** KEPT (pick-wt=11): 239 [copy,238,flip.2] -class_OrderedGroup_Olordered__ab__group__add(t_a)|c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a)=c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a). % 108.96/109.04 ** KEPT (pick-wt=5): 240 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSKIP. % 108.96/109.04 ** KEPT (pick-wt=7): 241 [] c_Com_Ocom_OWhile(A,B)!=hAPP(c_Com_Ocom_OBODY,C). % 108.96/109.04 ** KEPT (pick-wt=8): 242 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCond(B,C,D). % 108.96/109.04 ** KEPT (pick-wt=8): 243 [] c_Com_Ocom_OCond(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D). % 108.96/109.04 ** KEPT (pick-wt=7): 244 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OAss(B,C). % 108.96/109.04 ** KEPT (pick-wt=7): 245 [] c_Com_Ocom_OAss(A,B)!=hAPP(c_Com_Ocom_OBODY,C). % 108.96/109.04 ** KEPT (pick-wt=8): 246 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OLocal(B,C,D). % 108.96/109.04 ** KEPT (pick-wt=7): 247 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OWhile(B,C). % 108.96/109.04 ** KEPT (pick-wt=8): 248 [] c_Com_Ocom_OCall(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D). % 108.96/109.04 ** KEPT (pick-wt=7): 249 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSemi(B,C). % 108.96/109.04 ** KEPT (pick-wt=7): 250 [] c_Com_Ocom_OSemi(A,B)!=hAPP(c_Com_Ocom_OBODY,C). % 108.96/109.04 ** KEPT (pick-wt=8): 251 [] c_Com_Ocom_OLocal(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D). % 108.96/109.04 ** KEPT (pick-wt=8): 252 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCall(B,C,D). % 108.96/109.04 Following clause subsumed by 240 during input processing: 0 [flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSKIP. % 108.96/109.04 ** KEPT (pick-wt=25): 253 [] -hBOOL(hAPP(A,c_Hoare__Mirabelle_Otriple_Otriple__case(B,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),C),D),E),t_b,t_a)))|hBOOL(hAPP(A,hAPP(hAPP(hAPP(B,C),D),E))). % 108.96/109.04 Following clause subsumed by 253 during input processing: 0 [] -hBOOL(hAPP(A,c_Hoare__Mirabelle_Otriple_Otriple__case(B,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),C),D),E),t_b,t_a)))|hBOOL(hAPP(A,hAPP(hAPP(hAPP(B,C),D),E))). % 108.96/109.04 ** KEPT (pick-wt=12): 254 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(D,B,tc_Hoare__Mirabelle_Otriple(C)),C). % 108.96/109.04 ** KEPT (pick-wt=15): 255 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,D,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C). % 108.96/109.04 ** KEPT (pick-wt=15): 256 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(D,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C). % 108.96/109.04 ** KEPT (pick-wt=8): 257 [] c_Hoare__Mirabelle_Ohoare__valids(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,B,C). % 108.96/109.04 ** KEPT (pick-wt=11): 258 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)). % 108.96/109.04 ** KEPT (pick-wt=27): 259 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,A),B),C))|hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,D),B),C))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(E,D,A)),B),C)). % 108.96/109.04 ** KEPT (pick-wt=17): 260 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(A,D)),B),C)). % 108.96/109.04 ** KEPT (pick-wt=23): 261 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(A,B,C)),D),E))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,C),D),E))|hBOOL(hAPP(A,D)). % 108.96/109.04 ** KEPT (pick-wt=23): 262 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,A),B),C))|hBOOL(hAPP(D,B))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(D,E,A)),B),C)). % 108.96/109.04 ** KEPT (pick-wt=32): 263 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(A,B)),C),D))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(A,B)),E),D))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,B),C),E))| -hBOOL(hAPP(A,C)). % 108.96/109.04 ** KEPT (pick-wt=23): 264 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(A,B,C)),D),E))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,B),D),E))| -hBOOL(hAPP(A,D)). % 108.96/109.04 ** KEPT (pick-wt=23): 265 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,C),B),D))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(A,C,E)),B),D)). % 108.96/109.04 ** KEPT (pick-wt=26): 266 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSemi(A,B)),C),D))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,B),E),D))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,A),C),E)). % 108.96/109.04 ** KEPT (pick-wt=11): 267 [] A=B| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),B),A)). % 108.96/109.04 ** KEPT (pick-wt=13): 268 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,A),B),C))| -c_Natural_Oevaln(A,B,D,C). % 108.96/109.04 Following clause subsumed by 268 during input processing: 0 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,A),B),C))| -c_Natural_Oevaln(A,B,D,C). % 108.96/109.04 ** KEPT (pick-wt=19): 269 [] -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). % 108.96/109.04 ** KEPT (pick-wt=40): 270 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,B)),A,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,B))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate). % 108.96/109.04 ** KEPT (pick-wt=21): 271 [] c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,A)),B,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(A,C,B,D),D)| -c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,A),B,C,D). % 108.96/109.04 ** KEPT (pick-wt=18): 272 [] c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,A),B,c_Suc(C),D)| -c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,A)),B,C,D). % 108.96/109.04 ** KEPT (pick-wt=24): 273 [] c_Set_Oimage(A,B,C,D)!=c_Set_Oimage(A,E,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D)|B=E. % 108.96/109.04 ** KEPT (pick-wt=30): 274 [] c_Hoare__Mirabelle_Otriple__valid(c_Suc(A),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),hAPP(c_Com_Ocom_OBODY,D)),E),B)| -c_Hoare__Mirabelle_Otriple__valid(A,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,D))),E),B). % 108.96/109.04 ** KEPT (pick-wt=30): 275 [] c_Hoare__Mirabelle_Otriple__valid(A,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,D))),E),B)| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(A),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),hAPP(c_Com_Ocom_OBODY,D)),E),B). % 108.96/109.04 ** KEPT (pick-wt=141): 276 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),hAPP(C,D)),hAPP(c_Com_Ocom_OBODY,D)),hAPP(E,D)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B)| -hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),D),F))| -c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),E,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),F,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),E,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),F,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),B). % 108.96/109.04 ** KEPT (pick-wt=58): 277 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),hAPP(c_Com_Ocom_OBODY,D)),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),hAPP(c_Com_Ocom_OBODY,D)),E),A,tc_Hoare__Mirabelle_Otriple(B)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,D))),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B). % 108.96/109.04 ** KEPT (pick-wt=45): 278 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),hAPP(c_Com_Ocom_OBODY,D)),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,D))),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B). % 108.96/109.04 ** KEPT (pick-wt=159): 279 [] c_Hoare__Mirabelle_Ohoare__valids(A,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),D,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),E,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),D,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),E,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),D,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),E,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),B). % 108.96/109.05 ** KEPT (pick-wt=159): 280 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),D,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),E,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),D,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),E,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),D,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),E,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),B). % 108.96/109.05 ** KEPT (pick-wt=23): 281 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,A)),B),C))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,A))),B),C)). % 108.96/109.05 ** KEPT (pick-wt=23): 282 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,A))),B),C))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,A)),B),C)). % 108.96/109.05 ** KEPT (pick-wt=12): 283 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C). % 108.96/109.05 ** KEPT (pick-wt=20): 284 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),B),C),D)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),E),F),G)|D=G. % 108.96/109.05 ** KEPT (pick-wt=20): 285 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),B),C),D)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),E),F),G)|C=F. % 108.96/109.05 ** KEPT (pick-wt=20): 286 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),B),C),D)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),E),F),G)|B=E. % 108.96/109.05 ** KEPT (pick-wt=19): 287 [] A=B| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,C),D),A))| -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,C),D),B)). % 108.96/109.05 ** KEPT (pick-wt=13): 288 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)). % 108.96/109.05 ** KEPT (pick-wt=13): 289 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)). % 108.96/109.05 ** KEPT (pick-wt=17): 290 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)). % 108.96/109.05 ** KEPT (pick-wt=19): 291 [] -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). % 108.96/109.05 ** KEPT (pick-wt=8): 292 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B. % 108.96/109.05 ** KEPT (pick-wt=17): 293 [] -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). % 108.96/109.05 ** KEPT (pick-wt=17): 294 [] -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). % 108.96/109.05 ** KEPT (pick-wt=17): 295 [] -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). % 108.96/109.05 ** KEPT (pick-wt=17): 296 [] -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). % 108.96/109.05 ** KEPT (pick-wt=11): 297 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A). % 108.96/109.05 ** KEPT (pick-wt=11): 298 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A). % 108.96/109.05 ** KEPT (pick-wt=10): 299 [] hAPP(c_Com_Ocom_OBODY,A)!=hAPP(c_Com_Ocom_OBODY,B)|A=B. % 108.96/109.05 ** KEPT (pick-wt=14): 300 [] -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). % 108.96/109.05 ** KEPT (pick-wt=14): 301 [] -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). % 108.96/109.05 ** KEPT (pick-wt=10): 302 [] -hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)). % 108.96/109.05 ** KEPT (pick-wt=6): 303 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B). % 108.96/109.05 ** KEPT (pick-wt=6): 304 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B). % 108.96/109.05 ** KEPT (pick-wt=6): 305 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B). % 108.96/109.05 ** KEPT (pick-wt=6): 306 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B). % 108.96/109.05 ** KEPT (pick-wt=6): 307 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B). % 108.96/109.05 ** KEPT (pick-wt=6): 308 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B). % 108.96/109.05 ** KEPT (pick-wt=6): 309 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B). % 108.96/109.05 ** KEPT (pick-wt=6): 310 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B). % 108.96/109.05 ** KEPT (pick-wt=6): 311 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B). % 108.96/109.05 ** KEPT (pick-wt=10): 312 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)). % 108.96/109.05 Following clause subsumed by 128 during input processing: 0 [copy,3,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E). % 108.96/109.05 Following clause subsumed by 87 during input processing: 0 [copy,10,flip.1] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B). % 108.96/109.05 Following clause subsumed by 196 during input processing: 0 [copy,20,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E). % 108.96/109.05 Following clause subsumed by 230 during input processing: 0 [copy,30,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F). % 108.96/109.05 Following clause subsumed by 173 during input processing: 0 [copy,33,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E). % 108.96/109.05 Following clause subsumed by 88 during input processing: 0 [copy,46,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F). % 108.96/109.05 Following clause subsumed by 77 during input processing: 0 [copy,48,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F). % 108.96/109.05 50 back subsumes 36. % 108.96/109.05 Following clause subsumed by 174 during input processing: 0 [copy,51,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D). % 108.96/109.05 Following clause subsumed by 97 during input processing: 0 [copy,58,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E). % 108.96/109.05 Following clause subsumed by 205 during input processing: 0 [copy,66,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D). % 108.96/109.05 Following clause subsumed by 79 during input processing: 0 [copy,67,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E). % 108.96/109.05 Following clause subsumed by 190 during input processing: 0 [copy,68,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A). % 108.96/109.05 68 back subsumes 27. % 108.96/109.05 Following clause subsumed by 115 during input processing: 0 [copy,69,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E). % 108.96/109.05 Following clause subsumed by 94 during input processing: 0 [copy,73,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E). % 108.96/109.05 Following clause subsumed by 127 during input processing: 0 [copy,75,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E). % 108.96/109.05 Following clause subsumed by 48 during input processing: 0 [copy,77,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F). % 108.96/109.05 Following clause subsumed by 67 during input processing: 0 [copy,79,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E). % 108.96/109.05 Following clause subsumed by 10 during input processing: 0 [copy,87,flip.1] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A). % 108.96/109.05 Following clause subsumed by 46 during input processing: 0 [copy,88,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F). % 108.96/109.05 Following clause subsumed by 189 during input processing: 0 [copy,93,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D). % 108.96/109.05 Following clause subsumed by 73 during input processing: 0 [copy,94,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E). % 108.96/109.05 Following clause subsumed by 58 during input processing: 0 [copy,97,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E). % 108.96/109.05 Following clause subsumed by 132 during input processing: 0 [copy,99,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E). % 108.96/109.05 Following clause subsumed by 69 during input processing: 0 [copy,115,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E). % 108.96/109.05 Following clause subsumed by 75 during input processing: 0 [copy,127,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E). % 108.96/109.05 Following clause subsumed by 3 during input processing: 0 [copy,128,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E). % 108.96/109.05 Following clause subsumed by 99 during input processing: 0 [copy,132,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E). % 108.96/109.05 156 back subsumes 44. % 108.96/109.05 159 back subsumes 91. % 108.96/109.05 Following clause subsumed by 33 during input processing: 0 [copy,173,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E). % 108.96/109.05 Following clause subsumed by 51 during input processing: 0 [copy,174,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D). % 108.96/109.05 Following clause subsumed by 93 during input processing: 0 [copy,189,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D). % 108.96/109.05 Following clause subsumed by 68 during input processing: 0 [copy,190,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)). % 108.96/109.05 191 back subsumes 22. % 108.96/109.05 Following clause subsumed by 20 during input processing: 0 [copy,196,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E). % 108.96/109.05 Following clause subsumed by 66 during input processing: 0 [copy,205,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D). % 108.96/109.05 Following clause subsumed by 30 during input processing: 0 [copy,230,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F). % 108.96/109.05 Following clause subsumed by 247 during input processing: 0 [copy,241,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OWhile(B,C). % 108.96/109.05 Following clause subsumed by 243 during input processing: 0 [copy,242,flip.1] c_Com_Ocom_OCond(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D). % 108.96/109.05 Following clause subsumed by 242 during input processing: 0 [copy,243,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCond(B,C,D). % 108.96/109.05 Following clause subsumed by 245 during input processing: 0 [copy,244,flip.1] c_Com_Ocom_OAss(A,B)!=hAPP(c_Com_Ocom_OBODY,C). % 108.96/109.05 Following clause subsumed by 244 during input processing: 0 [copy,245,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OAss(B,C). % 108.96/109.05 Following clause subsumed by 251 during input processing: 0 [copy,246,flip.1] c_Com_Ocom_OLocal(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D). % 108.96/109.05 Following clause subsumed by 241 during input processing: 0 [copy,247,flip.1] c_Com_Ocom_OWhile(A,B)!=hAPP(c_Com_Ocom_OBODY,C). % 108.96/109.05 Following clause subsumed by 252 during input processing: 0 [copy,248,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCall(B,C,D). % 108.96/109.05 Following clause subsumed by 250 during input processing: 0 [copy,249,flip.1] c_Com_Ocom_OSemi(A,B)!=hAPP(c_Com_Ocom_OBODY,C). % 108.96/109.05 Following clause subsumed by 249 during input processing: 0 [copy,250,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSemi(B,C). % 108.96/109.05 Following clause subsumed by 246 during input processing: 0 [copy,251,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OLocal(B,C,D). % 108.96/109.05 Following clause subsumed by 248 during input processing: 0 [copy,252,flip.1] c_Com_Ocom_OCall(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D). % 108.96/109.05 291 back subsumes 269. % 108.96/109.05 % 108.96/109.05 ------------> process sos: % 108.96/109.05 ** KEPT (pick-wt=3): 341 [] A=A. % 108.96/109.05 ** KEPT (pick-wt=14): 342 [] hAPP(c_Fun_Ocomp(v_f,v_g,t_a,t_b,t_c),v_x)=hAPP(v_f,hAPP(v_g,v_x)). % 108.96/109.05 ---> New Demodulator: 343 [new_demod,342] hAPP(c_Fun_Ocomp(v_f,v_g,t_a,t_b,t_c),v_x)=hAPP(v_f,hAPP(v_g,v_x)). % 108.96/109.05 ** KEPT (pick-wt=10): 344 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))). % 108.96/109.05 Following clause subsumed by 344 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))). % 108.96/109.05 Following clause subsumed by 344 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))). % 108.96/109.05 ** KEPT (pick-wt=6): 345 [] c_Fun_Oinj__on(c_Fun_Oid(A),B,A,A). % 108.96/109.05 ** KEPT (pick-wt=22): 346 [] 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). % 108.96/109.05 ** KEPT (pick-wt=15): 347 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D). % 108.96/109.05 ** KEPT (pick-wt=14): 348 [] hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B). % 108.96/109.05 ** KEPT (pick-wt=18): 349 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)). % 108.96/109.05 ---> New Demodulator: 350 [new_demod,349] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=19): 351 [] 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). % 108.96/109.05 ** KEPT (pick-wt=16): 352 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,A))). % 108.96/109.05 Following clause subsumed by 347 during input processing: 0 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C). % 108.96/109.05 ** KEPT (pick-wt=2): 353 [] c_Com_OWT(c_Com_Ocom_OSKIP). % 108.96/109.05 ** KEPT (pick-wt=28): 354 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool)),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,E,tc_fun(C,tc_bool)),C,D),tc_fun(D,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=4): 355 [] c_Com_OWT(c_Com_Ocom_OAss(A,B)). % 108.96/109.05 ** KEPT (pick-wt=8): 356 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C). % 108.96/109.05 ** KEPT (pick-wt=11): 357 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=20): 358 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C). % 108.96/109.05 ---> New Demodulator: 359 [new_demod,358] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C). % 108.96/109.05 ** KEPT (pick-wt=9): 360 [] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B. % 108.96/109.05 ---> New Demodulator: 361 [new_demod,360] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B. % 108.96/109.05 ** KEPT (pick-wt=9): 362 [] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A. % 108.96/109.05 ---> New Demodulator: 363 [new_demod,362] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A. % 108.96/109.05 ** KEPT (pick-wt=11): 364 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,C)|hBOOL(hAPP(A,C)). % 108.96/109.05 ** KEPT (pick-wt=13): 365 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A. % 108.96/109.05 ---> New Demodulator: 366 [new_demod,365] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A. % 108.96/109.05 ** KEPT (pick-wt=34): 368 [copy,367,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). % 108.96/109.05 ---> New Demodulator: 369 [new_demod,368] 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). % 108.96/109.05 ** KEPT (pick-wt=43): 371 [copy,370,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). % 108.96/109.05 ---> New Demodulator: 372 [new_demod,371] 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). % 108.96/109.05 ** KEPT (pick-wt=25): 373 [] c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),E,D)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=14): 374 [] c_lesse_quals(c_Set_Oimage(A,c_Set_Ovimage(A,B,C,D),C,D),B,tc_fun(D,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=9): 375 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=13): 376 [] c_Set_Ovimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=27): 377 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=27): 378 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=19): 379 [] 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))). % 108.96/109.05 ** KEPT (pick-wt=12): 380 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C). % 108.96/109.05 ---> New Demodulator: 381 [new_demod,380] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C). % 108.96/109.05 ** KEPT (pick-wt=9): 382 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=10): 383 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)))). % 108.96/109.05 ** KEPT (pick-wt=11): 384 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A. % 108.96/109.05 ---> New Demodulator: 385 [new_demod,384] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A. % 108.96/109.05 ** KEPT (pick-wt=11): 386 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=14): 387 [] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)). % 108.96/109.05 ---> New Demodulator: 388 [new_demod,387] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)). % 108.96/109.05 Following clause subsumed by 341 during input processing: 0 [demod,388] hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)). % 108.96/109.05 ** KEPT (pick-wt=14): 389 [] hAPP(c_Fun_Ofcomp(v_f,v_g,t_a,t_b,t_c),v_x)=hAPP(v_g,hAPP(v_f,v_x)). % 108.96/109.05 ---> New Demodulator: 390 [new_demod,389] hAPP(c_Fun_Ofcomp(v_f,v_g,t_a,t_b,t_c),v_x)=hAPP(v_g,hAPP(v_f,v_x)). % 108.96/109.05 ** KEPT (pick-wt=13): 391 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A. % 108.96/109.05 ---> New Demodulator: 392 [new_demod,391] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A. % 108.96/109.05 ** KEPT (pick-wt=14): 393 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 108.96/109.05 ---> New Demodulator: 394 [new_demod,393] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=7): 395 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B)). % 108.96/109.05 ** KEPT (pick-wt=8): 396 [] c_Set_Ovimage(c_Fun_Oid(A),B,A,A)=B. % 108.96/109.05 ---> New Demodulator: 397 [new_demod,396] c_Set_Ovimage(c_Fun_Oid(A),B,A,A)=B. % 108.96/109.05 ** KEPT (pick-wt=19): 398 [] 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). % 108.96/109.05 ** KEPT (pick-wt=20): 399 [] 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). % 108.96/109.05 ---> New Demodulator: 400 [new_demod,399] 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). % 108.96/109.05 ** KEPT (pick-wt=22): 401 [] 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). % 108.96/109.05 ** KEPT (pick-wt=17): 402 [] 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)). % 108.96/109.05 ** KEPT (pick-wt=19): 403 [] 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). % 108.96/109.05 ** KEPT (pick-wt=26): 405 [copy,404,flip.1] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)=c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),A),C)). % 108.96/109.05 ** KEPT (pick-wt=31): 407 [copy,406,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). % 108.96/109.05 ---> New Demodulator: 408 [new_demod,407] 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). % 108.96/109.05 ** KEPT (pick-wt=24): 409 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=B|hBOOL(hAPP(hAPP(c_in(C),A),B)). % 108.96/109.05 ** KEPT (pick-wt=6): 410 [] hAPP(c_Fun_Oid(A),B)=B. % 108.96/109.05 ---> New Demodulator: 411 [new_demod,410] hAPP(c_Fun_Oid(A),B)=B. % 108.96/109.05 ** KEPT (pick-wt=46): 413 [copy,412,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). % 108.96/109.05 ---> New Demodulator: 414 [new_demod,413] 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). % 108.96/109.05 ** KEPT (pick-wt=20): 415 [] 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). % 108.96/109.05 ---> New Demodulator: 416 [new_demod,415] 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). % 108.96/109.05 ** KEPT (pick-wt=19): 418 [copy,417,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). % 108.96/109.05 ---> New Demodulator: 419 [new_demod,418] 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). % 108.96/109.05 ** KEPT (pick-wt=13): 420 [] 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)). % 108.96/109.05 ** KEPT (pick-wt=8): 421 [] c_Set_Oimage(c_Fun_Oid(A),B,A,A)=B. % 108.96/109.05 ---> New Demodulator: 422 [new_demod,421] c_Set_Oimage(c_Fun_Oid(A),B,A,A)=B. % 108.96/109.05 ** KEPT (pick-wt=13): 423 [] 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). % 108.96/109.05 ** KEPT (pick-wt=17): 424 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 108.96/109.05 ---> New Demodulator: 425 [new_demod,424] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=11): 426 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A. % 108.96/109.05 ---> New Demodulator: 427 [new_demod,426] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A. % 108.96/109.05 ** KEPT (pick-wt=11): 428 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B. % 108.96/109.05 ---> New Demodulator: 429 [new_demod,428] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B. % 108.96/109.05 ** KEPT (pick-wt=14): 430 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)). % 108.96/109.05 ---> New Demodulator: 431 [new_demod,430] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=14): 432 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)). % 108.96/109.05 ---> New Demodulator: 433 [new_demod,432] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=19): 435 [copy,434,flip.1] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)). % 108.96/109.05 ---> New Demodulator: 436 [new_demod,435] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=19): 438 [copy,437,demod,436] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=11): 439 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=11): 440 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=5): 441 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,A,B,A). % 108.96/109.05 ** KEPT (pick-wt=16): 443 [copy,442,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). % 108.96/109.05 ---> New Demodulator: 444 [new_demod,443] 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). % 108.96/109.05 Following clause subsumed by 375 during input processing: 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=22): 445 [] 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). % 108.96/109.05 ** KEPT (pick-wt=19): 446 [] 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). % 108.96/109.05 ** KEPT (pick-wt=14): 447 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)). % 108.96/109.05 ---> New Demodulator: 448 [new_demod,447] c_HOL_Ominus__class_Ominus(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=14): 449 [] hAPP(c_Fun_Ofcomp(A,B,C,D,E),F)=hAPP(B,hAPP(A,F)). % 108.96/109.05 ---> New Demodulator: 450 [new_demod,449] hAPP(c_Fun_Ofcomp(A,B,C,D,E),F)=hAPP(B,hAPP(A,F)). % 108.96/109.05 ** KEPT (pick-wt=9): 451 [] c_lesse_quals(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)). % 108.96/109.05 ** KEPT (pick-wt=23): 453 [copy,452,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). % 108.96/109.06 ---> New Demodulator: 454 [new_demod,453] 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). % 108.96/109.06 ** KEPT (pick-wt=19): 455 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),c_Com_Ocom_OSKIP),C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B). % 108.96/109.06 ** KEPT (pick-wt=7): 456 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)). % 108.96/109.06 ** KEPT (pick-wt=9): 457 [] c_Fun_Ofcomp(A,c_Fun_Oid(B),C,B,B)=A. % 108.96/109.06 ---> New Demodulator: 458 [new_demod,457] c_Fun_Ofcomp(A,c_Fun_Oid(B),C,B,B)=A. % 108.96/109.06 ** KEPT (pick-wt=9): 459 [] c_Fun_Ofcomp(c_Fun_Oid(A),B,A,A,C)=B. % 108.96/109.06 ---> New Demodulator: 460 [new_demod,459] c_Fun_Ofcomp(c_Fun_Oid(A),B,A,A,C)=B. % 108.96/109.06 ** KEPT (pick-wt=6): 461 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)). % 108.96/109.06 Following clause subsumed by 461 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)). % 108.96/109.06 Following clause subsumed by 344 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))). % 108.96/109.06 ** KEPT (pick-wt=22): 462 [] 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). % 108.96/109.06 ** KEPT (pick-wt=29): 463 [] 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)). % 108.96/109.06 ** KEPT (pick-wt=13): 464 [] 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)). % 108.96/109.06 ** KEPT (pick-wt=23): 465 [] 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). % 108.96/109.06 ---> New Demodulator: 466 [new_demod,465] 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). % 108.96/109.06 ** KEPT (pick-wt=18): 467 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)). % 108.96/109.06 ---> New Demodulator: 468 [new_demod,467] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)). % 108.96/109.06 ** KEPT (pick-wt=18): 469 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)). % 108.96/109.06 ---> New Demodulator: 470 [new_demod,469] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)). % 108.96/109.06 ** KEPT (pick-wt=28): 472 [copy,471,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)). % 108.96/109.06 ---> New Demodulator: 473 [new_demod,472] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)). % 108.96/109.06 ** KEPT (pick-wt=25): 474 [] 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)). % 108.96/109.06 ** KEPT (pick-wt=36): 475 [] hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),A,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),B,t_a,tc_fun(t_a,tc_bool),tc_bool),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))). % 108.96/109.06 Following clause subsumed by 341 during input processing: 0 [demod,388] hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)). % 108.96/109.06 Following clause subsumed by 341 during input processing: 0 [demod,411] v_x=v_x. % 108.96/109.06 Following clause subsumed by 341 during input processing: 0 [demod,450] hAPP(B,hAPP(A,v_x))=hAPP(B,hAPP(A,v_x)). % 108.96/109.06 ** KEPT (pick-wt=17): 476 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,hAPP(c_Com_Ocom_OBODY,I),J)=hAPP(G,I). % 108.96/109.06 ** KEPT (pick-wt=17): 477 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,hAPP(c_Com_Ocom_OBODY,I),J)=hAPP(G,I). % 108.96/109.06 ** KEPT (pick-wt=14): 478 [] c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),B),hAPP(c_Com_Ocom_OBODY,C)),D),A). % 108.96/109.06 ** KEPT (pick-wt=20): 479 [] c_Hoare__Mirabelle_Otriple_Otriple__rec(A,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),D),E),B,F)=hAPP(hAPP(hAPP(A,C),D),E). % 108.96/109.06 ** KEPT (pick-wt=20): 480 [] c_Hoare__Mirabelle_Otriple_Otriple__case(A,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),D),E),B,F)=hAPP(hAPP(hAPP(A,C),D),E). % 108.96/109.06 ** KEPT (pick-wt=8): 481 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),B). % 108.96/109.06 ** KEPT (pick-wt=10): 482 [] c_Com_OWT(hAPP(c_Com_Ocom_OBODY,A))|hAPP(c_Com_Obody,A)=c_Option_Ooption_ONone(tc_Com_Ocom). % 108.96/109.06 ** KEPT (pick-wt=8): 483 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),A),A)). % 108.96/109.06 ** KEPT (pick-wt=14): 484 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(A,B)),C),C))|hBOOL(hAPP(A,C)). % 108.96/109.06 ** KEPT (pick-wt=8): 485 [] hAPP(c_Option_Othe(A),c_Option_Ooption_OSome(B,A))=B. % 108.96/109.06 ---> New Demodulator: 486 [new_demod,485] hAPP(c_Option_Othe(A),c_Option_Ooption_OSome(B,A))=B. % 108.96/109.06 ** KEPT (pick-wt=14): 488 [copy,487,flip.1] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fe_qual(tc_Com_Ostate)),v_c),hAPP(c_Natural_Oevalc,v_c))=c_Hoare__Mirabelle_OMGT(v_c). % 108.96/109.06 ---> New Demodulator: 489 [new_demod,488] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fe_qual(tc_Com_Ostate)),v_c),hAPP(c_Natural_Oevalc,v_c))=c_Hoare__Mirabelle_OMGT(v_c). % 108.96/109.06 ** KEPT (pick-wt=26): 490 [] c_Set_Oimage(c_COMBB(A,B,C,D,E),c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,D)=c_Set_Oimage(A,c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,C),C,D). % 108.96/109.06 ---> New Demodulator: 491 [new_demod,490] c_Set_Oimage(c_COMBB(A,B,C,D,E),c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,D)=c_Set_Oimage(A,c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,C),C,D). % 108.96/109.06 ** KEPT (pick-wt=14): 492 [] c_Hoare__Mirabelle_OMGT(A)=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fe_qual(tc_Com_Ostate)),A),hAPP(c_Natural_Oevalc,A)). % 108.96/109.06 ** KEPT (pick-wt=25): 493 [] 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)). % 108.96/109.06 ** KEPT (pick-wt=20): 495 [copy,494,flip.1] c_Set_Oimage(c_COMBB(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D). % 108.96/109.06 ---> New Demodulator: 496 [new_demod,495] c_Set_Oimage(c_COMBB(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D). % 108.96/109.06 ** KEPT (pick-wt=8): 497 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A. % 108.96/109.06 ---> New Demodulator: 498 [new_demod,497] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A. % 108.96/109.06 ** KEPT (pick-wt=14): 499 [] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)). % 108.96/109.06 ---> New Demodulator: 500 [new_demod,499] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)). % 108.96/109.06 ** KEPT (pick-wt=16): 501 [] hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)). % 108.96/109.06 ** KEPT (pick-wt=23): 502 [] 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)). % 108.96/109.06 ** KEPT (pick-wt=23): 503 [] 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)). % 108.96/109.06 ---> New Demodulator: 504 [new_demod,503] 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)). % 108.96/109.06 ** KEPT (pick-wt=13): 505 [] 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)). % 108.96/109.06 ** KEPT (pick-wt=18): 506 [] 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)). % 108.96/109.06 ---> New Demodulator: 507 [new_demod,506] 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)). % 108.96/109.06 ** KEPT (pick-wt=104): 508 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(v_G,c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fe_qual(tc_Com_Ostate)),c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fe_qual(tc_Com_Ostate)),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate). % 108.96/109.06 ** KEPT (pick-wt=13): 509 [] hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)). % 108.96/109.06 ** KEPT (pick-wt=2): 510 [] class_Lattices_Oupper__semilattice(tc_nat). % 108.96/109.06 ** KEPT (pick-wt=2): 511 [] class_Orderings_Opreorder(tc_nat). % 108.96/109.06 ** KEPT (pick-wt=2): 512 [] class_Orderings_Olinorder(tc_nat). % 108.96/109.06 ** KEPT (pick-wt=2): 513 [] class_Lattices_Olattice(tc_nat). % 108.96/109.06 ** KEPT (pick-wt=2): 514 [] class_Orderings_Oorder(tc_nat). % 108.96/109.06 ** KEPT (pick-wt=2): 515 [] class_Orderings_Obot(tc_nat). % 108.96/109.06 ** KEPT (pick-wt=2): 516 [] class_HOL_Ominus(tc_nat). % 108.96/109.06 ** KEPT (pick-wt=2): 517 [] class_HOL_Oord(tc_nat). % 108.96/109.06 ** KEPT (pick-wt=2): 518 [] class_Lattices_Oupper__semilattice(tc_bool). % 108.96/109.06 ** KEPT (pick-wt=2): 519 [] class_Lattices_Obounded__lattice(tc_bool). % 108.96/109.06 ** KEPT (pick-wt=2): 520 [] class_Orderings_Opreorder(tc_bool). % 108.96/109.06 ** KEPT (pick-wt=2): 521 [] class_Lattices_Olattice(tc_bool). % 108.96/109.06 ** KEPT (pick-wt=2): 522 [] class_Orderings_Oorder(tc_bool). % 108.96/109.06 ** KEPT (pick-wt=2): 523 [] class_Orderings_Otop(tc_bool). % 108.96/109.06 ** KEPT (pick-wt=2): 524 [] class_Orderings_Obot(tc_bool). % 108.96/109.06 ** KEPT (pick-wt=2): 525 [] class_HOL_Ominus(tc_bool). % 108.96/109.06 ** KEPT (pick-wt=2): 526 [] class_HOL_Oord(tc_bool). % 108.96/109.06 Following clause subsumed by 501 during input processing: 0 [] hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)). % 108.96/109.06 Following clause subsumed by 348 during input processing: 0 [] hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B). % 108.96/109.06 Following clause subsumed by 341 during input processing: 0 [demod,500] hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)). % 108.96/109.06 ** KEPT (pick-wt=7): 527 [] hBOOL(hAPP(hAPP(c_fe_qual(A),B),B)). % 108.96/109.06 Following clause subsumed by 341 during input processing: 0 [copy,341,flip.1] A=A. % 108.96/109.06 341 back subsumes 339. % 108.96/109.06 341 back subsumes 324. % 108.96/109.06 341 back subsumes 323. % 108.96/109.06 341 back subsumes 318. % 108.96/109.06 341 back subsumes 314. % 108.96/109.06 >>>> Starting back demodulation with 343. % 108.96/109.06 ** KEPT (pick-wt=22): 528 [copy,346,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__case(E,F,G,H,I,J,K,A,c_Com_Ocom_OCall(B,C,D),L). % 108.96/109.06 Following clause subsumed by 347 during input processing: 0 [copy,347,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D). % 108.96/109.06 ** KEPT (pick-wt=14): 529 [copy,348,flip.1] hAPP(hAPP(A,B),C)=hAPP(c_COMBC(A,C,D,E,F),B). % 108.96/109.06 >>>> Starting back demodulation with 350. % 108.96/109.06 ** KEPT (pick-wt=19): 530 [copy,351,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__case(D,A,E,F,G,H,I,J,c_Com_Ocom_OAss(B,C),K). % 108.96/109.06 >>>> Starting back demodulation with 359. % 108.96/109.06 >> back demodulating 207 with 359. % 108.96/109.06 >>>> Starting back demodulation with 361. % 108.96/109.06 >> back demodulating 113 with 361. % 108.96/109.06 >>>> Starting back demodulation with 363. % 108.96/109.06 >>>> Starting back demodulation with 366. % 108.96/109.06 >>>> Starting back demodulation with 369. % 108.96/109.06 >>>> Starting back demodulation with 372. % 108.96/109.06 ** KEPT (pick-wt=25): 532 [copy,373,flip.1] c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,E,tc_fun(D,tc_bool)),C,D). % 108.96/109.06 ** KEPT (pick-wt=13): 533 [copy,376,flip.1] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))=c_Set_Ovimage(B,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),A,C). % 108.96/109.06 ** KEPT (pick-wt=27): 534 [copy,377,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)). % 108.96/109.06 ** KEPT (pick-wt=27): 535 [copy,378,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)). % 108.96/109.06 >>>> Starting back demodulation with 381. % 108.96/109.06 >> back demodulating 331 with 381. % 108.96/109.06 >> back demodulating 328 with 381. % 108.96/109.06 >> back demodulating 327 with 381. % 108.96/109.06 >> back demodulating 326 with 381. % 108.96/109.06 >> back demodulating 325 with 381. % 108.96/109.06 >>>> Starting back demodulation with 385. % 108.96/109.06 ** KEPT (pick-wt=11): 540 [copy,386,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)). % 108.96/109.06 >>>> Starting back demodulation with 388. % 108.96/109.06 >> back demodulating 342 with 388. % 108.96/109.06 >> back demodulating 219 with 388. % 108.96/109.06 >>>> Starting back demodulation with 390. % 108.96/109.06 >>>> Starting back demodulation with 392. % 108.96/109.06 >>>> Starting back demodulation with 394. % 108.96/109.06 >>>> Starting back demodulation with 397. % 108.96/109.06 ** KEPT (pick-wt=19): 541 [copy,398,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__case(D,E,F,A,G,H,I,J,c_Com_Ocom_OSemi(B,C),K). % 108.96/109.06 >>>> Starting back demodulation with 400. % 108.96/109.06 ** KEPT (pick-wt=22): 542 [copy,401,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__rec(E,F,G,H,I,J,K,A,c_Com_Ocom_OCall(B,C,D),L). % 108.96/109.06 ** KEPT (pick-wt=17): 543 [copy,402,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B). % 108.96/109.06 ** KEPT (pick-wt=19): 544 [copy,403,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__rec(D,A,E,F,G,H,I,J,c_Com_Ocom_OAss(B,C),K). % 108.96/109.06 >>>> Starting back demodulation with 408. % 108.96/109.06 >>>> Starting back demodulation with 411. % 108.96/109.06 >>>> Starting back demodulation with 414. % 108.96/109.06 >>>> Starting back demodulation with 416. % 108.96/109.06 >>>> Starting back demodulation with 419. % 108.96/109.06 >> back demodulating 35 with 419. % 108.96/109.06 Following clause subsumed by 423 during input processing: 0 [copy,420,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A). % 108.96/109.06 >>>> Starting back demodulation with 422. % 108.96/109.06 Following clause subsumed by 420 during input processing: 0 [copy,423,flip.1] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)). % 108.96/109.06 >>>> Starting back demodulation with 425. % 108.96/109.06 >>>> Starting back demodulation with 427. % 108.96/109.06 >> back demodulating 424 with 427. % 108.96/109.06 >>>> Starting back demodulation with 429. % 108.96/109.06 >>>> Starting back demodulation with 431. % 108.96/109.06 >>>> Starting back demodulation with 433. % 108.96/109.06 >>>> Starting back demodulation with 436. % 108.96/109.06 ** KEPT (pick-wt=19): 546 [copy,438,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)). % 108.96/109.06 >>>> Starting back demodulation with 444. % 108.96/109.06 ** KEPT (pick-wt=22): 547 [copy,445,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__case(E,F,A,G,H,I,J,K,c_Com_Ocom_OLocal(B,C,D),L). % 108.96/109.06 ** KEPT (pick-wt=19): 548 [copy,446,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__case(D,E,F,G,H,A,I,J,c_Com_Ocom_OWhile(B,C),K). % 108.96/109.06 >>>> Starting back demodulation with 448. % 108.96/109.06 >>>> Starting back demodulation with 450. % 108.96/109.06 >> back demodulating 389 with 450. % 108.96/109.06 >>>> Starting back demodulation with 454. % 108.96/109.06 >>>> Starting back demodulation with 458. % 108.96/109.06 >>>> Starting back demodulation with 460. % 108.96/109.06 ** KEPT (pick-wt=22): 549 [copy,462,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__case(E,F,G,H,A,I,J,K,c_Com_Ocom_OCond(B,C,D),L). % 108.96/109.06 ** KEPT (pick-wt=29): 550 [copy,463,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),D,C),c_Set_Ovimage(A,E,D,C),tc_fun(D,tc_bool))=c_Set_Ovimage(A,c_Set_Oinsert(B,E,C),D,C). % 108.96/109.06 ** KEPT (pick-wt=13): 551 [copy,464,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Ovimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),A,C). % 108.96/109.06 >>>> Starting back demodulation with 466. % 108.96/109.06 >>>> Starting back demodulation with 468. % 108.96/109.06 >>>> Starting back demodulation with 470. % 108.96/109.06 >> back demodulating 17 with 470. % 108.96/109.06 >>>> Starting back demodulation with 473. % 108.96/109.06 ** KEPT (pick-wt=25): 552 [copy,474,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(D,tc_bool)),C,D). % 108.96/109.06 ** KEPT (pick-wt=36): 553 [copy,475,flip.1] hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool)))=hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),A,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),B,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x). % 108.96/109.06 ** KEPT (pick-wt=17): 554 [copy,476,flip.1] hAPP(A,B)=c_Com_Ocom_Ocom__rec(C,D,E,F,G,H,A,I,hAPP(c_Com_Ocom_OBODY,B),J). % 108.96/109.06 ** KEPT (pick-wt=17): 555 [copy,477,flip.1] hAPP(A,B)=c_Com_Ocom_Ocom__case(C,D,E,F,G,H,A,I,hAPP(c_Com_Ocom_OBODY,B),J). % 108.96/109.06 ** KEPT (pick-wt=20): 556 [copy,479,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Hoare__Mirabelle_Otriple_Otriple__rec(A,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(E),B),C),D),E,F). % 108.96/109.06 ** KEPT (pick-wt=20): 557 [copy,480,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Hoare__Mirabelle_Otriple_Otriple__case(A,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(E),B),C),D),E,F). % 108.96/109.06 >>>> Starting back demodulation with 486. % 108.96/109.06 >>>> Starting back demodulation with 489. % 108.96/109.06 >>>> Starting back demodulation with 491. % 108.96/109.06 ** KEPT (pick-wt=14): 558 [copy,492,flip.1] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fe_qual(tc_Com_Ostate)),A),hAPP(c_Natural_Oevalc,A))=c_Hoare__Mirabelle_OMGT(A). % 108.96/109.06 ** KEPT (pick-wt=25): 559 [copy,493,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))=c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D). % 108.96/109.06 >>>> Starting back demodulation with 496. % 108.96/109.06 >> back demodulating 490 with 496. % 108.96/109.06 >>>> Starting back demodulation with 498. % 108.96/109.06 >> back demodulating 340 with 498. % 108.96/109.06 >> back demodulating 322 with 498. % 108.96/109.06 >> back demodulating 321 with 498. % 108.96/109.06 >> back demodulating 320 with 498. % 108.96/109.06 >>>> Starting back demodulation with 500. % 108.96/109.06 ** KEPT (pick-wt=16): 560 [copy,501,flip.1] hAPP(hAPP(A,B),hAPP(C,B))=hAPP(c_COMBS(A,C,D,E,F),B). % 108.96/109.06 Following clause subsumed by 502 during input processing: 0 [copy,502,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)). % 108.96/109.06 >>>> Starting back demodulation with 504. % 108.96/109.06 Following clause subsumed by 505 during input processing: 0 [copy,505,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)). % 108.96/109.06 >>>> Starting back demodulation with 507. % 108.96/109.06 Following clause subsumed by 346 during input processing: 0 [copy,528,flip.1] 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). % 108.96/109.06 Following clause subsumed by 348 during input processing: 0 [copy,529,flip.1] hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B). % 108.96/109.06 Following clause subsumed by 351 during input processing: 0 [copy,530,flip.1] 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). % 108.96/109.06 Following clause subsumed by 373 during input processing: 0 [copy,532,flip.1] c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),E,D)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)). % 108.96/109.06 Following clause subsumed by 376 during input processing: 0 [copy,533,flip.1] c_Set_Ovimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)). % 108.96/109.06 Following clause subsumed by 377 during input processing: 0 [copy,534,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)). % 108.96/109.06 Following clause subsumed by 378 during input processing: 0 [copy,535,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)). % 108.96/109.06 Following clause subsumed by 386 during input processing: 0 [copy,540,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)). % 108.96/109.06 Following clause subsumed by 398 during input processing: 0 [copy,541,flip.1] 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). % 108.96/109.06 Following clause subsumed by 401 during input processing: 0 [copy,542,flip.1] 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). % 108.96/109.06 Following clause subsumed by 402 during input processing: 0 [copy,543,flip.1] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)). % 108.96/109.06 Following clause subsumed by 403 during input processing: 0 [copy,544,flip.1] 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). % 108.96/109.06 Following clause subsumed by 438 during input processing: 0 [copy,546,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)). % 108.96/109.06 Following clause subsumed by 445 during input processing: 0 [copy,547,flip.1] 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). % 108.96/109.06 Following clause subsumed by 446 during input processing: 0 [copy,548,flip.1] 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). % 108.96/109.06 Following clause subsumed by 462 during input processing: 0 [copy,549,flip.1] 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). % 108.96/109.06 Following clause subsumed by 463 during input processing: 0 [copy,550,flip.1] 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)). % 108.96/109.06 Following clause subsumed by 464 during input processing: 0 [copy,551,flip.1] 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)). % 108.96/109.06 Following clause subsumed by 474 during input processing: 0 [copy,552,flip.1] 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)). % 109.19/109.27 Following clause subsumed by 475 during input processing: 0 [copy,553,flip.1] hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),A,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),B,t_a,tc_fun(t_a,tc_bool),tc_bool),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))). % 109.19/109.27 Following clause subsumed by 476 during input processing: 0 [copy,554,flip.1] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,hAPP(c_Com_Ocom_OBODY,I),J)=hAPP(G,I). % 109.19/109.27 Following clause subsumed by 477 during input processing: 0 [copy,555,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,hAPP(c_Com_Ocom_OBODY,I),J)=hAPP(G,I). % 109.19/109.27 Following clause subsumed by 479 during input processing: 0 [copy,556,flip.1] c_Hoare__Mirabelle_Otriple_Otriple__rec(A,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),D),E),B,F)=hAPP(hAPP(hAPP(A,C),D),E). % 109.19/109.27 Following clause subsumed by 480 during input processing: 0 [copy,557,flip.1] c_Hoare__Mirabelle_Otriple_Otriple__case(A,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),D),E),B,F)=hAPP(hAPP(hAPP(A,C),D),E). % 109.19/109.27 Following clause subsumed by 492 during input processing: 0 [copy,558,flip.1] c_Hoare__Mirabelle_OMGT(A)=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fe_qual(tc_Com_Ostate)),A),hAPP(c_Natural_Oevalc,A)). % 109.19/109.27 558 back subsumes 488. % 109.19/109.27 Following clause subsumed by 493 during input processing: 0 [copy,559,flip.1] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)). % 109.19/109.27 Following clause subsumed by 501 during input processing: 0 [copy,560,flip.1] hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)). % 109.19/109.27 % 109.19/109.27 ======= end of input processing ======= % 109.19/109.27 % 109.19/109.27 =========== start of search =========== % 109.19/109.27 % 109.19/109.27 % 109.19/109.27 Resetting weight limit to 2. % 109.19/109.27 % 109.19/109.27 % 109.19/109.27 Resetting weight limit to 2. % 109.19/109.27 % 109.19/109.27 sos_size=155 % 109.19/109.27 % 109.19/109.27 Search stopped in tp_alloc by max_mem option. % 109.19/109.27 % 109.19/109.27 Search stopped in tp_alloc by max_mem option. % 109.19/109.27 % 109.19/109.27 ============ end of search ============ % 109.19/109.27 % 109.19/109.27 -------------- statistics ------------- % 109.19/109.27 clauses given 77 % 109.19/109.27 clauses generated 16934 % 109.19/109.27 clauses kept 494 % 109.19/109.27 clauses forward subsumed 147 % 109.19/109.27 clauses back subsumed 12 % 109.19/109.27 Kbytes malloced 11718 % 109.19/109.27 % 109.19/109.27 ----------- times (seconds) ----------- % 109.19/109.27 user CPU time 0.27 (0 hr, 0 min, 0 sec) % 109.19/109.27 system CPU time 0.01 (0 hr, 0 min, 0 sec) % 109.19/109.27 wall-clock time 109 (0 hr, 1 min, 49 sec) % 109.19/109.27 % 109.19/109.27 Process 8934 finished Wed Jul 27 06:01:55 2022 % 109.19/109.27 Otter interrupted % 109.19/109.27 PROOF NOT FOUND %------------------------------------------------------------------------------