%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : SWV880-1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n016.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 13:21:43 EDT 2022 % Result : Unknown 195.92s 196.07s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SWV880-1 : TPTP v8.1.0. Released v4.1.0. % 0.07/0.12 % Command : otter-tptp-script %s % 0.12/0.33 % Computer : n016.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Wed Jul 27 06:45:37 EDT 2022 % 0.12/0.33 % CPUTime : % 195.39/195.58 ----- Otter 3.3f, August 2004 ----- % 195.39/195.58 The process was started by sandbox on n016.cluster.edu, % 195.39/195.58 Wed Jul 27 06:45:37 2022 % 195.39/195.58 The command was "./otter". The process ID is 2705. % 195.39/195.58 % 195.39/195.58 set(prolog_style_variables). % 195.39/195.58 set(auto). % 195.39/195.58 dependent: set(auto1). % 195.39/195.58 dependent: set(process_input). % 195.39/195.58 dependent: clear(print_kept). % 195.39/195.58 dependent: clear(print_new_demod). % 195.39/195.58 dependent: clear(print_back_demod). % 195.39/195.58 dependent: clear(print_back_sub). % 195.39/195.58 dependent: set(control_memory). % 195.39/195.58 dependent: assign(max_mem, 12000). % 195.39/195.58 dependent: assign(pick_given_ratio, 4). % 195.39/195.58 dependent: assign(stats_level, 1). % 195.39/195.58 dependent: assign(max_seconds, 10800). % 195.39/195.58 clear(print_given). % 195.39/195.58 % 195.39/195.58 list(usable). % 195.39/195.58 0 [] A=A. % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Orderings_Oord__class_Omax(V_y,V_z,T_a)),V_x)=c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_z),V_x),T_a). % 195.39/195.58 0 [] -class_HOL_Oord(T_a)|c_in(V_i,c_SetInterval_Oord__class_OlessThan(V_k,T_a),T_a)| -c_HOL_Oord__class_Oless(V_i,V_k,T_a). % 195.39/195.58 0 [] -class_HOL_Oord(T_a)|c_HOL_Oord__class_Oless(V_i,V_k,T_a)| -c_in(V_i,c_SetInterval_Oord__class_OlessThan(V_k,T_a),T_a). % 195.39/195.58 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)). % 195.39/195.58 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). % 195.39/195.58 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)). % 195.39/195.58 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a)=hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_HOL_Ominus__class_Ominus(V_x,V_z,T_a)),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a)). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_z,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_z,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y))=hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_b,T_a),T_b)| -c_Fun_Oinj__on(V_h,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)| -c_Finite__Set_Ofinite(V_F,T_a). % 195.39/195.58 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a). % 195.39/195.58 0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)| -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(T_a)=c_Orderings_Oord__class_Omin(T_a). % 195.39/195.58 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)=c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))=hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),c_Orderings_Oord__class_Omax(V_x,V_y,T_a))=V_x. % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_x,V_a,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_x,V_b,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)| -c_HOL_Oord__class_Oless(V_z,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x). % 195.39/195.58 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)=hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_SetInterval_Oord__class_OlessThan(V_x,T_a)!=c_SetInterval_Oord__class_OlessThan(V_y,T_a)|V_x=V_y. % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),V_x,T_a)| -c_HOL_Oord__class_Oless(V_a,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),V_x,T_a)| -c_HOL_Oord__class_Oless(V_b,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_z,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a). % 195.39/195.58 0 [] hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b))!=hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b))|hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b)))!=hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b)))|c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b)| -c_Fun_Oinj__on(V_g,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a). % 195.39/195.58 0 [] hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b))!=hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b))|hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b)))!=hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b)))|c_Fun_Oinj__on(V_g,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a). % 195.39/195.58 0 [] c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b)| -c_Fun_Oinj__on(V_g,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a)|hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b))=hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b))|hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b)))=hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b))). % 195.39/195.58 0 [] c_Fun_Oinj__on(V_g,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a)|hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b))=hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b))|hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b)))=hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b))). % 195.39/195.58 0 [] hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),hAPP(V_f,V_x))=V_x| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b). % 195.39/195.58 0 [] c_Finite__Set_Ocard(V_A,T_a)!=c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,V_y,T_a)=c_Orderings_Oord__class_Omax(V_y,V_x,T_a). % 195.39/195.58 0 [] c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_X,T_a,T_b),T_b,T_a)=V_X| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b). % 195.39/195.58 0 [] c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a)=V_A| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z),T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),c_Orderings_Oord__class_Omax(V_y,V_z,T_a)),T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),T_a)=V_x. % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)=c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a)=c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a). % 195.39/195.58 0 [] hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)). % 195.39/195.58 0 [] hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)). % 195.39/195.58 0 [] c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b)!=V_f|hAPP(V_f,V_x)=V_y. % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)=c_Orderings_Oord__class_Omax(V_x,V_y,T_a). % 195.39/195.58 0 [] c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)). % 195.39/195.58 0 [] c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)| -c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a). % 195.39/195.58 0 [] c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)| -c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a). % 195.39/195.58 0 [] c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a). % 195.39/195.58 0 [] c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a)| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_in(V_c,V_B,T_a)| -c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a). % 195.39/195.58 0 [] c_in(V_c,V_A,T_a)| -c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a). % 195.39/195.58 0 [] c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)| -c_in(hAPP(V_f,V_a),V_B,T_b). % 195.39/195.58 0 [] c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b)| -c_in(hAPP(V_f,V_a),V_A,T_a). % 195.39/195.58 0 [] c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b)| -c_in(hAPP(V_f,V_a),V_B,T_a). % 195.39/195.58 0 [] c_in(hAPP(V_f,V_a),V_B,T_b)| -c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a). % 195.39/195.58 0 [] c_in(hAPP(V_f,V_a),V_A,T_b)| -c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a)|V_a=V_b. % 195.39/195.58 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)|V_a=V_b| -c_lesse_quals(V_a,V_b,T_a). % 195.39/195.58 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_lesse_quals(V_b,V_a,T_a)|V_a=V_b. % 195.39/195.58 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|V_a=V_b| -c_lesse_quals(V_b,V_a,T_a). % 195.39/195.58 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),c_Orderings_Oord__class_Omax(V_y,V_z,T_a))=c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z),T_a). % 195.39/195.58 0 [] c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b). % 195.39/195.58 0 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b)|V_a=V_c. % 195.39/195.58 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. % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_y,T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a). % 195.39/195.58 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)). % 195.39/195.58 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_z,T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a). % 195.39/195.58 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B)!=c_Orderings_Otop__class_Otop(T_a)|V_B=c_Orderings_Otop__class_Otop(T_a). % 195.39/195.58 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B)!=c_Orderings_Otop__class_Otop(T_a)|V_A=c_Orderings_Otop__class_Otop(T_a). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B),tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b)=c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b). % 195.39/195.58 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))=V_x. % 195.39/195.58 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x)=V_x. % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B)=V_B. % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))=V_A. % 195.39/195.58 0 [] c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)). % 195.39/195.58 0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x)=V_x. % 195.39/195.58 0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)). % 195.39/195.58 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y. % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y. % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,V_x,T_a)=V_x. % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_HOL_Oord__class_Oless(V_b,V_x,T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_HOL_Oord__class_Oless(V_a,V_x,T_a). % 195.39/195.58 0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a)=V_f. % 195.39/195.58 0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x)=V_y. % 195.39/195.58 0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b)=V_f. % 195.39/195.58 0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x)=V_y. % 195.39/195.58 0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a)=V_f. % 195.39/195.58 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x)=V_x. % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A. % 195.39/195.58 0 [] hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),hAPP(V_f,V_x))=V_x| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b). % 195.39/195.58 0 [] -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)|hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),V_f,T_aa,T_a),hAPP(V_f,V_x))=V_x. % 195.39/195.58 0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))). % 195.39/195.58 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)). % 195.39/195.58 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))). % 195.39/195.58 0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(V_A,V_x)). % 195.39/195.58 0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z)=hAPP(V_f,V_z)|V_z=V_x. % 195.39/195.58 0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z)=hAPP(V_f,V_z)|V_z=V_x. % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omax(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Orderings_Oord__class_Omax(V_x,V_y,T_a)),c_Orderings_Oord__class_Omax(V_x,V_z,T_a)),T_a). % 195.39/195.58 0 [] c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))| -c_in(V_c,V_A,T_b). % 195.39/195.58 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),V_x,T_a)=hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Orderings_Oord__class_Omax(V_y,V_x,T_a)),c_Orderings_Oord__class_Omax(V_z,V_x,T_a)). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a)=hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Orderings_Oord__class_Omax(V_x,V_y,T_a)),c_Orderings_Oord__class_Omax(V_x,V_z,T_a)). % 195.39/195.58 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a). % 195.39/195.58 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). % 195.39/195.58 0 [] -c_in(V_x,V_B,T_a)| -c_in(V_x,V_A,T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_Finite__Set_Ofold__graph(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)| -c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_y,T_a,T_b)|c_in(V_x,V_A,T_a). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)|c_in(V_a,V_C,T_a). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)|c_in(V_a,V_A,T_a). % 195.39/195.58 0 [] c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_B,T_a)| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_in(V_x,V_B,T_a)| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C)=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),T_a)| -c_in(V_a,V_C,T_a). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a))=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)| -c_in(V_a,V_A,T_a). % 195.39/195.58 0 [] c_in(V_a,c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_a,tc_bool)),T_a)| -c_lesse_quals(V_X,hAPP(V_f,V_X),tc_fun(T_a,tc_bool))| -c_in(V_a,V_X,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] c_in(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),T_a). % 195.39/195.58 0 [] c_in(hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_x),V_A,T_b)| -c_in(V_x,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a). % 195.39/195.58 0 [] hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_x)!=hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_y)|V_x=V_y| -c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_in(V_x,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b). % 195.39/195.58 0 [] hAPP(V_f,hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_y))=V_y| -c_in(V_y,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a). % 195.39/195.58 0 [] c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a)=c_Set_Oimage(V_f,V_A,T_b,T_a)|c_in(V_x,V_A,T_b). % 195.39/195.58 0 [] hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x))=V_x| -c_in(V_x,V_A,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 195.39/195.58 0 [] -c_in(V_x,V_A,T_aa)| -c_Fun_Oinj__on(V_f,V_A,T_aa,T_a)|hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x))=V_x. % 195.39/195.58 0 [] hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x))=V_x| -c_in(V_x,V_A,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 195.39/195.58 0 [] -c_Fun_Oinj__on(V_f,V_A,T_aa,T_a)|hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x))=V_x| -c_in(V_x,V_A,T_aa). % 195.39/195.58 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)). % 195.39/195.58 0 [] c_lesse_quals(c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)),tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))=V_A. % 195.39/195.58 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)). % 195.39/195.58 0 [] c_Fun_Oinj__on(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 195.39/195.58 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. % 195.39/195.58 0 [] c_Set_Oimage(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a)=V_A| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 195.39/195.58 0 [] c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Finite__Set_Ocard(V_A,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 195.39/195.58 0 [] c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a)=c_Finite__Set_Ocard(V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] c_in(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),T_aa). % 195.39/195.58 0 [] hAPP(V_f,V_a)=V_b| -c_in(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),T_a). % 195.39/195.58 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a)|c_in(V_x,V_B,T_a)| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_HOL_Oord__class_Oless(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_in(V_x,V_A,T_a)|c_in(V_x,V_B,T_a). % 195.39/195.58 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a). % 195.39/195.58 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(V_X,c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,T_a),T_a)| -c_lesse_quals(V_X,hAPP(V_f,V_X),T_a). % 195.39/195.58 0 [] -class_Orderings_Otop(T_a)|c_lesse_quals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a). % 195.39/195.58 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_a,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)| -c_lesse_quals(V_z,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)| -c_lesse_quals(V_z,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_z,T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_z,V_y,T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omax(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). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omax(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). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omax(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). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,V_y,T_a)!=V_y|c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_y,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)=V_x| -c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)!=V_x|c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)=V_y| -c_lesse_quals(V_y,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_x,T_a)|c_lesse_quals(V_x,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Orderings_Opreorder(T_a)| -c_lesse_quals(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=V_x| -c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)!=V_x|c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=V_y| -c_lesse_quals(V_y,V_x,T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a). % 195.39/195.58 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a). % 195.39/195.58 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_x,T_a,T_b). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_F,T_a). % 195.39/195.58 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=c_Orderings_Obot__class_Obot(T_a). % 195.39/195.58 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=c_Orderings_Obot__class_Obot(T_a). % 195.39/195.58 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)). % 195.39/195.58 0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] -c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] V_x=V_z| -c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a,T_b). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(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)). % 195.39/195.58 0 [] c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b). % 195.39/195.58 0 [] c_Nitpick_Ofold__graph_H(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_A,T_a)),c_Set_Oinsert(V_a,V_B,T_a))=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a). % 195.39/195.58 0 [] -class_HOL_Oord(T_b)|c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b))| -c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)). % 195.39/195.58 0 [] -class_HOL_Oord(T_b)|c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))|c_lesse_quals(V_g,V_f,tc_fun(T_a,T_b))| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)). % 195.39/195.58 0 [] -class_HOL_Oord(T_b)| -c_lesse_quals(V_g,V_f,tc_fun(T_a,T_b))| -c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)). % 195.39/195.58 0 [] V_A=V_B|c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))|V_A=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_lesse_quals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)). % 195.39/195.58 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)). % 195.39/195.58 0 [] c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_HOL_Oord__class_Oless(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_in(V_x,V_A,T_a)| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] hBOOL(hAPP(V_P,V_F))|hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(V_A,V_P,T_a)))| -hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))| -c_lesse_quals(V_F,V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_F,T_a). % 195.39/195.58 0 [] hBOOL(hAPP(V_P,V_F))|c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(V_A,V_P,T_a),T_a)| -hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))| -c_lesse_quals(V_F,V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_F,T_a). % 195.39/195.58 0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))|c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a). % 195.39/195.58 0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))| -c_in(hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(V_A,V_B,V_f,T_b,T_a)),V_B,T_a). % 195.39/195.58 0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))|c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(V_A,V_B,V_f,T_b,T_a),V_A,T_b). % 195.39/195.58 0 [] c_in(hAPP(V_g,V_a),c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_b,tc_bool)),T_b)| -c_lesse_quals(c_Set_Oimage(V_g,V_X,T_a,T_b),hAPP(V_f,c_Set_Oimage(V_g,V_X,T_a,T_b)),tc_fun(T_b,tc_bool))| -c_in(V_a,V_X,T_a). % 195.39/195.58 0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))| -c_in(hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(V_A,V_B,V_f,T_a,T_b)),V_B,T_b). % 195.39/195.58 0 [] c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_in(V_c,V_A,T_b). % 195.39/195.58 0 [] c_in(V_a,V_A,T_a)| -c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b). % 195.39/195.58 0 [] c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_in(V_a,V_A,T_a)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b). % 195.39/195.58 0 [] hAPP(V_f,hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),V_y))=V_y| -c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 195.39/195.58 0 [] c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_A,T_a,T_b)|c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 195.39/195.58 0 [] c_Fun_Oinj__on(V_g,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a)|c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b),V_A,T_a). % 195.39/195.58 0 [] c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b)| -c_Fun_Oinj__on(V_g,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a)|c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b),V_A,T_a). % 195.39/195.58 0 [] c_Fun_Oinj__on(V_g,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a)|c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b),V_A,T_a). % 195.39/195.58 0 [] c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b)| -c_Fun_Oinj__on(V_g,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a)|c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b),V_A,T_a). % 195.39/195.58 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_k,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_k,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a). % 195.39/195.58 0 [] c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)!=c_Finite__Set_Ocard(V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a)|c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 195.39/195.58 0 [] c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Finite__Set_Ocard(V_A,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] c_Set_Oimage(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_S,T_a,T_b),T_b,T_a)=V_S| -c_lesse_quals(V_S,V_A,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 195.39/195.58 0 [] c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))| -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). % 195.39/195.58 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). % 195.39/195.58 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). % 195.39/195.58 0 [] c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_B,T_a,T_b)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)). % 195.39/195.58 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). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(V_A,T_a)=V_x| -c_in(V_x,V_A,T_a)|c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__e_qI__1__1(V_A,V_x,T_a),V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(V_A,T_a)=V_x| -c_in(V_x,V_A,T_a)|c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__e_qI__1__1(V_A,V_x,T_a),V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] c_Nitpick_Ofold__graph_H(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)| -c_Nitpick_Ofold__graph_H(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b)| -c_in(V_x,V_A,T_a). % 195.39/195.58 0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a)|c_in(V_x,V_B,T_a)| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_B,T_a). % 195.39/195.58 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,tc_nat)=c_Finite__Set_Osetsum(V_f,V_A,T_a,tc_nat)|c_in(V_a,V_A,T_a). % 195.39/195.58 0 [] c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)| -c_in(V_x,V_A,T_a)| -c_Finite__Set_Ofold__graph(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b). % 195.39/195.58 0 [] -class_OrderedGroup_Oab__group__add(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),c_Finite__Set_Osetsum(V_f,V_B,T_a,T_b),T_b)| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] c_in(hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),V_x),V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 195.39/195.58 0 [] c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_Finite__Set_Ocard(V_A,T_a)=c_Finite__Set_Ocard(V_B,T_b)| -c_Finite__Set_Ofinite(V_B,T_b)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_lesse_quals(c_Set_Oimage(V_g,V_B,T_b,T_a),V_A,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_g,V_B,T_b,T_a)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(V_A,T_a)=V_x| -c_in(V_x,V_A,T_a)| -c_lesse_quals(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__e_qI__1__1(V_A,V_x,T_a),V_x,T_a)| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(V_A,T_a)=V_x| -c_in(V_x,V_A,T_a)| -c_lesse_quals(V_x,c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__e_qI__1__1(V_A,V_x,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_x,V_A,T_a),T_a)=c_Orderings_Oord__class_Omax(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_x,V_A,T_a),T_a)=hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),c_Finite__Set_Olinorder__class_OMin(V_A,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] -class_OrderedGroup_Oab__group__add(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)=c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)|c_in(V_a,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] c_Finite__Set_Ocard(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)),T_a)=c_Finite__Set_Ocard(V_A,T_a)|c_in(V_x,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_B,T_a). % 195.39/195.58 0 [] c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a)=c_Set_Oinsert(V_y,c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),tc_fun(T_b,tc_bool)),T_b,T_a),T_a)| -c_in(V_x,V_A,T_b). % 195.39/195.58 0 [] hBOOL(hAPP(V_P,V_F))| -c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(V_A,V_P,T_a),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(V_A,V_P,T_a),T_a)| -hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))| -c_lesse_quals(V_F,V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_F,T_a). % 195.39/195.58 0 [] hBOOL(hAPP(V_P,V_F))| -hBOOL(hAPP(V_P,c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(V_A,V_P,T_a),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(V_A,V_P,T_a),T_a)))| -hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))| -c_lesse_quals(V_F,V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_F,T_a). % 195.39/195.58 0 [] -class_OrderedGroup_Oab__group__add(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),hAPP(V_f,V_a),T_b)| -c_in(V_a,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] -class_Ring__and__Field_Oring(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),hAPP(V_f,V_a),T_b)| -c_in(V_a,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)). % 195.39/195.58 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)). % 195.39/195.58 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|c_in(V_x,V_A,T_a). % 195.39/195.58 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| -c_in(V_a,V_A,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a)| -c_in(V_x,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)| -c_in(V_x,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 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)). % 195.39/195.58 0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(V_A,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_b,T_a)| -c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a). % 195.39/195.58 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). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a. % 195.39/195.58 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)). % 195.39/195.58 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)). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a. % 195.39/195.58 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a). % 195.39/195.58 0 [] -c_in(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),T_b)| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b). % 195.39/195.58 0 [] c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)|c_in(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),T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 195.39/195.58 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)|c_in(V_x,V_B,T_a). % 195.39/195.58 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))| -c_in(V_x,V_B,T_a). % 195.39/195.58 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). % 195.39/195.58 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)). % 195.39/195.58 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)). % 195.39/195.58 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). % 195.39/195.58 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)). % 195.39/195.58 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). % 195.39/195.58 0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b). % 195.39/195.58 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. % 195.39/195.58 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)). % 195.39/195.58 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)). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_B,T_a). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a). % 195.39/195.58 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). % 195.39/195.58 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). % 195.39/195.58 0 [] c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a). % 195.39/195.58 0 [] c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a). % 195.39/195.58 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| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a). % 195.39/195.58 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_xa)| -c_in(V_xa,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_xa. % 195.39/195.58 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y. % 195.39/195.58 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a)|V_x=V_y| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b). % 195.39/195.58 0 [] c_in(V_c,V_A,T_a)| -c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a). % 195.39/195.58 0 [] -c_in(V_c,V_B,T_a)| -c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a). % 195.39/195.58 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. % 195.39/195.58 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. % 195.39/195.58 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)). % 195.39/195.58 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P. % 195.39/195.58 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). % 195.39/195.58 0 [] c_lesse_quals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),V_A,tc_fun(T_b,tc_bool))| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a). % 195.39/195.58 0 [] c_Set_Oimage(V_f,V_A,T_a,T_a)=V_A| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a). % 195.39/195.58 0 [] V_B=c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a). % 195.39/195.58 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] hBOOL(hAPP(V_P,V_F))|c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(V_A,V_P,T_a),V_A,T_a)| -hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))| -c_lesse_quals(V_F,V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_F,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a)| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_M,V_N,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a)| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_M,V_N,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_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)). % 195.39/195.58 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_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)). % 195.39/195.58 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))| -c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)| -c_in(V_x,V_A,T_a). % 195.39/195.58 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a). % 195.39/195.58 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)). % 195.39/195.58 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)). % 195.39/195.58 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)). % 195.39/195.58 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)). % 195.39/195.58 0 [] c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a). % 195.39/195.58 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)). % 195.39/195.58 0 [] c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)| -c_in(V_a,V_A,T_a). % 195.39/195.58 0 [] c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)| -c_in(V_a,V_B,T_a). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a). % 195.39/195.58 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)). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a). % 195.39/195.58 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a). % 195.39/195.58 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)). % 195.39/195.58 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)). % 195.39/195.58 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_in(V_t,V_B,T_a)| -c_in(V_t,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_in(V_x,V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a). % 195.39/195.58 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] c_in(V_x,V_B,T_a)| -c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 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). % 195.39/195.58 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). % 195.39/195.58 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))| -c_in(V_x,V_B,T_a). % 195.39/195.58 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)). % 195.39/195.58 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). % 195.39/195.58 0 [] -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a). % 195.39/195.58 0 [] hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a). % 195.39/195.58 0 [] -c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a). % 195.39/195.58 0 [] -c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a). % 195.39/195.58 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a). % 195.39/195.58 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)). % 195.39/195.58 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)). % 195.39/195.58 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. % 195.39/195.58 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. % 195.39/195.58 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. % 195.39/195.58 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. % 195.39/195.58 0 [] c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)| -c_Finite__Set_Ofinite(V_F,T_a). % 195.39/195.58 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). % 195.39/195.58 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). % 195.39/195.58 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). % 195.39/195.58 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)). % 195.39/195.58 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)). % 195.39/195.58 0 [] c_in(V_a,V_A,T_a)|V_a=V_b| -c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a). % 195.39/195.58 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a). % 195.39/195.58 0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)). % 195.39/195.58 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). % 195.39/195.58 0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a). % 195.39/195.58 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)). % 195.39/195.58 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)). % 195.39/195.58 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)). % 195.39/195.58 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)). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(V_B,T_b)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] c_in(hAPP(V_f,V_x),V_B,T_a)| -c_in(V_x,V_A,T_b)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] V_b=V_a| -c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a). % 195.39/195.58 0 [] c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a). % 195.39/195.58 0 [] c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a). % 195.39/195.58 0 [] c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a). % 195.39/195.58 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). % 195.39/195.58 0 [] c_in(V_x,V_S,T_a)| -hBOOL(hAPP(V_S,V_x)). % 195.39/195.58 0 [] hBOOL(hAPP(V_S,V_x))| -c_in(V_x,V_S,T_a). % 195.39/195.58 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). % 195.39/195.58 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)). % 195.39/195.58 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. % 195.39/195.58 0 [] -hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a). % 195.39/195.58 0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_in(V_x,V_xa,T_a). % 195.39/195.58 0 [] c_in(V_x,V_B,T_a)| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)). % 195.39/195.58 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)). % 195.39/195.58 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)| -c_in(V_x,V_A,T_a). % 195.39/195.58 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_in(V_x,V_A,T_a). % 195.39/195.58 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)). % 195.39/195.58 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_in(V_x,V_A,T_a). % 195.39/195.58 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))|c_in(V_x,V_A,T_a). % 195.39/195.58 0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|c_in(V_x,V_B,T_a)|c_in(V_x,V_A,T_a)|V_A=V_B. % 195.39/195.58 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -c_in(V_a,V_A,T_a). % 195.39/195.58 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). % 195.39/195.58 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a). % 195.39/195.58 0 [] -c_in(V_x,V_A,T_aa)|c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a). % 195.39/195.58 0 [] -c_in(V_x,V_A,T_b)|c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a). % 195.39/195.58 0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)| -c_in(V_x,V_A,T_b). % 195.39/195.58 0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_in(V_x,V_A,T_a). % 195.39/195.58 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)). % 195.39/195.58 0 [] c_Finite__Set_Ofinite(v_U,tc_Com_Opname). % 195.39/195.58 0 [] v_G=c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a). % 195.39/195.58 0 [] c_in(v_pn,v_U,tc_Com_Opname). % 195.39/195.58 0 [] -c_lesse_quals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)). % 195.39/195.58 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1). % 195.39/195.58 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1). % 195.39/195.58 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1). % 195.39/195.58 0 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1)| -class_Finite__Set_Ofinite_Ofinite(T_2). % 195.39/195.58 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1). % 195.39/195.58 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1). % 195.39/195.58 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1). % 195.39/195.58 0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1). % 195.39/195.58 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1). % 195.39/195.58 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1). % 195.39/195.58 0 [] class_Lattices_Olower__semilattice(tc_nat). % 195.39/195.58 0 [] class_Orderings_Opreorder(tc_nat). % 195.39/195.58 0 [] class_Orderings_Olinorder(tc_nat). % 195.39/195.58 0 [] class_Lattices_Olattice(tc_nat). % 195.39/195.58 0 [] class_Orderings_Oorder(tc_nat). % 195.39/195.58 0 [] class_Orderings_Obot(tc_nat). % 195.39/195.58 0 [] class_HOL_Oord(tc_nat). % 195.39/195.58 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool). % 195.39/195.58 0 [] class_Lattices_Olower__semilattice(tc_bool). % 195.39/195.58 0 [] class_Lattices_Obounded__lattice(tc_bool). % 195.39/195.58 0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool). % 195.39/195.58 0 [] class_Orderings_Opreorder(tc_bool). % 195.39/195.58 0 [] class_Lattices_Olattice(tc_bool). % 195.39/195.58 0 [] class_Orderings_Oorder(tc_bool). % 195.39/195.58 0 [] class_Orderings_Otop(tc_bool). % 195.39/195.58 0 [] class_Orderings_Obot(tc_bool). % 195.39/195.58 0 [] class_HOL_Oord(tc_bool). % 195.39/195.58 0 [] c_fe_qual(V_x,V_x,T_a). % 195.39/195.58 0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a). % 195.39/195.58 end_of_list. % 195.39/195.58 % 195.39/195.58 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7. % 195.39/195.58 % 195.39/195.58 This ia a non-Horn set with equality. The strategy will be % 195.39/195.58 Knuth-Bendix, ordered hyper_res, factoring, and unit % 195.39/195.58 deletion, with positive clauses in sos and nonpositive % 195.39/195.58 clauses in usable. % 195.39/195.58 % 195.39/195.58 dependent: set(knuth_bendix). % 195.39/195.58 dependent: set(anl_eq). % 195.39/195.58 dependent: set(para_from). % 195.39/195.58 dependent: set(para_into). % 195.39/195.58 dependent: clear(para_from_right). % 195.39/195.58 dependent: clear(para_into_right). % 195.39/195.58 dependent: set(para_from_vars). % 195.39/195.58 dependent: set(eq_units_both_ways). % 195.39/195.58 dependent: set(dynamic_demod_all). % 195.39/195.58 dependent: set(dynamic_demod). % 195.39/195.58 dependent: set(order_eq). % 195.39/195.58 dependent: set(back_demod). % 195.39/195.58 dependent: set(lrpo). % 195.39/195.58 dependent: set(hyper_res). % 195.39/195.58 dependent: set(unit_deletion). % 195.39/195.58 dependent: set(factor). % 195.39/195.58 % 195.39/195.58 ------------> process usable: % 195.39/195.58 ** KEPT (pick-wt=26): 1 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),c_Orderings_Oord__class_Omax(B,C,A)),D)=c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),D),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A). % 195.39/195.58 ** KEPT (pick-wt=12): 2 [] -class_HOL_Oord(A)|c_in(B,c_SetInterval_Oord__class_OlessThan(C,A),A)| -c_HOL_Oord__class_Oless(B,C,A). % 195.39/195.58 ** KEPT (pick-wt=12): 3 [] -class_HOL_Oord(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_in(B,c_SetInterval_Oord__class_OlessThan(C,A),A). % 195.39/195.58 ** KEPT (pick-wt=19): 4 [] 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). % 195.39/195.58 ** KEPT (pick-wt=24): 6 [copy,5,flip.2] -class_OrderedGroup_Opordered__ab__group__add(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),c_HOL_Ominus__class_Ominus(B,C,A)),c_HOL_Ominus__class_Ominus(D,C,A))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),D),C,A). % 195.39/195.58 ** KEPT (pick-wt=17): 7 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(B,D,A). % 195.39/195.58 ** KEPT (pick-wt=19): 8 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(B,C,A). % 195.39/195.58 ** KEPT (pick-wt=20): 9 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C))=hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C). % 195.39/195.58 ** KEPT (pick-wt=18): 10 [] c_Finite__Set_Ofinite(c_Set_Ovimage(A,B,C,D),C)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D)| -c_Finite__Set_Ofinite(B,D). % 195.39/195.58 ** KEPT (pick-wt=14): 11 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A). % 195.39/195.58 ** KEPT (pick-wt=18): 12 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,D,tc_fun(C,tc_bool)). % 195.39/195.59 ** KEPT (pick-wt=14): 13 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A). % 195.39/195.59 ** KEPT (pick-wt=9): 15 [copy,14,flip.3] -class_Orderings_Olinorder(A)| -class_Lattices_Olower__semilattice(A)|c_Orderings_Oord__class_Omin(A)=c_Lattices_Olower__semilattice__class_Oinf(A). % 195.39/195.59 ** KEPT (pick-wt=20): 17 [copy,16,flip.2] -class_OrderedGroup_Opordered__ab__group__add(A)|c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ominus__class_Ominus(D,C,A),A)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(B,D,A),C,A). % 195.39/195.59 ** KEPT (pick-wt=25): 18 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D)=hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D)). % 195.39/195.59 ** KEPT (pick-wt=25): 19 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D))=hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),D)). % 195.39/195.59 ** KEPT (pick-wt=13): 20 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),c_Orderings_Oord__class_Omax(B,C,A))=B. % 195.39/195.59 ** KEPT (pick-wt=13): 21 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_HOL_Oord__class_Oless(B,C,A). % 195.39/195.59 ** KEPT (pick-wt=13): 22 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A). % 195.39/195.59 Following clause subsumed by 21 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_HOL_Oord__class_Oless(B,C,A). % 195.39/195.59 Following clause subsumed by 22 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A). % 195.39/195.59 ** KEPT (pick-wt=13): 23 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(B,D,A),C,A). % 195.39/195.59 ** KEPT (pick-wt=13): 24 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(D,B,A),C,A). % 195.39/195.59 ** KEPT (pick-wt=15): 25 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),B). % 195.39/195.59 ** KEPT (pick-wt=15): 26 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),B). % 195.39/195.59 ** KEPT (pick-wt=15): 27 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)=hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),B). % 195.39/195.59 ** KEPT (pick-wt=12): 28 [] -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OlessThan(B,A)!=c_SetInterval_Oord__class_OlessThan(C,A)|B=C. % 195.39/195.59 ** KEPT (pick-wt=15): 29 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_HOL_Oord__class_Oless(B,D,A). % 195.39/195.59 ** KEPT (pick-wt=15): 30 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_HOL_Oord__class_Oless(C,D,A). % 195.39/195.59 ** KEPT (pick-wt=15): 31 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A). % 195.39/195.59 ** KEPT (pick-wt=15): 32 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),D),C),A). % 195.39/195.59 Following clause subsumed by 29 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_HOL_Oord__class_Oless(B,D,A). % 195.39/195.59 Following clause subsumed by 30 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_HOL_Oord__class_Oless(C,D,A). % 195.39/195.59 ** KEPT (pick-wt=57): 34 [copy,33,flip.1,flip.2] hAPP(A,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(B,C,A,D,E))!=hAPP(A,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(B,C,A,D,E))|hAPP(A,hAPP(C,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(B,C,A,D,E)))!=hAPP(A,hAPP(C,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(B,C,A,D,E)))|c_Fun_Oinj__on(A,c_Set_Oimage(C,B,D,D),D,E)| -c_Fun_Oinj__on(A,B,D,E)| -c_Fun_Oinj__on(C,B,D,D). % 195.39/195.59 ** KEPT (pick-wt=57): 36 [copy,35,flip.1,flip.2] hAPP(A,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(B,C,A,D,E))!=hAPP(A,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(B,C,A,D,E))|hAPP(A,hAPP(C,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(B,C,A,D,E)))!=hAPP(A,hAPP(C,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(B,C,A,D,E)))|c_Fun_Oinj__on(A,B,D,E)| -c_Fun_Oinj__on(A,c_Set_Oimage(C,B,D,D),D,E)| -c_Fun_Oinj__on(C,B,D,D). % 195.39/195.59 ** KEPT (pick-wt=57): 38 [copy,37,flip.4,flip.5] c_Fun_Oinj__on(A,c_Set_Oimage(B,C,D,D),D,E)| -c_Fun_Oinj__on(A,C,D,E)| -c_Fun_Oinj__on(B,C,D,D)|hAPP(A,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(C,B,A,D,E))=hAPP(A,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(C,B,A,D,E))|hAPP(A,hAPP(B,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(C,B,A,D,E)))=hAPP(A,hAPP(B,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(C,B,A,D,E))). % 195.39/195.59 ** KEPT (pick-wt=57): 40 [copy,39,flip.4,flip.5] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Set_Oimage(E,B,C,C),C,D)| -c_Fun_Oinj__on(E,B,C,C)|hAPP(A,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(B,E,A,C,D))=hAPP(A,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(B,E,A,C,D))|hAPP(A,hAPP(E,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(B,E,A,C,D)))=hAPP(A,hAPP(E,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(B,E,A,C,D))). % 195.39/195.59 ** KEPT (pick-wt=22): 41 [] hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A,C),hAPP(B,D))=D| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,C). % 195.39/195.59 ** KEPT (pick-wt=22): 42 [] c_Finite__Set_Ocard(A,B)!=c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B)|A=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)). % 195.39/195.59 ** KEPT (pick-wt=11): 43 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,C,A)=c_Orderings_Oord__class_Omax(C,B,A). % 195.39/195.59 ** KEPT (pick-wt=26): 44 [] c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A,C),c_Set_Oimage(B,D,A,C),C,A)=D| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,C). % 195.39/195.59 Following clause subsumed by 44 during input processing: 0 [] c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A,C),c_Set_Oimage(B,D,A,C),C,A)=D| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,C). % 195.39/195.59 ** KEPT (pick-wt=27): 45 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),D),A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),c_Orderings_Oord__class_Omax(C,D,A)),A). % 195.39/195.59 ** KEPT (pick-wt=13): 46 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),A)=B. % 195.39/195.59 ** KEPT (pick-wt=17): 47 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(B,C,A),D,A)=c_Orderings_Oord__class_Omax(B,c_Orderings_Oord__class_Omax(C,D,A),A). % 195.39/195.59 ** KEPT (pick-wt=17): 48 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,c_Orderings_Oord__class_Omax(C,D,A),A)=c_Orderings_Oord__class_Omax(C,c_Orderings_Oord__class_Omax(B,D,A),A). % 195.39/195.59 ** KEPT (pick-wt=15): 49 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),A),B)). % 195.39/195.59 ** KEPT (pick-wt=15): 50 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),A),D),B)). % 195.39/195.59 ** KEPT (pick-wt=13): 51 [] c_Fun_Ofun__upd(A,B,C,D,E)!=A|hAPP(A,B)=C. % 195.39/195.59 ** KEPT (pick-wt=14): 52 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,c_Orderings_Oord__class_Omax(B,C,A),A)=c_Orderings_Oord__class_Omax(B,C,A). % 195.39/195.59 ** KEPT (pick-wt=19): 53 [] c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B)| -c_in(A,D,B)| -c_in(A,C,B). % 195.39/195.59 Following clause subsumed by 53 during input processing: 0 [] c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B)| -c_in(A,D,B)| -c_in(A,C,B). % 195.39/195.59 ** KEPT (pick-wt=14): 54 [] c_in(A,B,C)| -c_in(A,D,C)| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool)). % 195.39/195.59 ** KEPT (pick-wt=15): 55 [] c_in(A,B,C)| -c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B),C). % 195.39/195.59 ** KEPT (pick-wt=15): 56 [] c_in(A,B,C)| -c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),D),C). % 195.39/195.59 ** KEPT (pick-wt=14): 57 [] c_in(A,c_Set_Ovimage(B,C,D,E),D)| -c_in(hAPP(B,A),C,E). % 195.39/195.59 Following clause subsumed by 57 during input processing: 0 [] c_in(A,c_Set_Ovimage(B,C,D,E),D)| -c_in(hAPP(B,A),C,E). % 195.39/195.59 Following clause subsumed by 57 during input processing: 0 [] c_in(A,c_Set_Ovimage(B,C,D,E),D)| -c_in(hAPP(B,A),C,E). % 195.39/195.59 ** KEPT (pick-wt=14): 58 [] c_in(hAPP(A,B),C,D)| -c_in(B,c_Set_Ovimage(A,C,E,D),E). % 195.39/195.59 Following clause subsumed by 58 during input processing: 0 [] c_in(hAPP(A,B),C,D)| -c_in(B,c_Set_Ovimage(A,C,E,D),E). % 195.39/195.59 ** KEPT (pick-wt=13): 59 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A). % 195.39/195.59 Following clause subsumed by 59 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C| -c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A). % 195.39/195.59 ** KEPT (pick-wt=13): 60 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|B=C. % 195.39/195.59 Following clause subsumed by 60 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A). % 195.39/195.59 Following clause subsumed by 60 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A). % 195.39/195.59 Following clause subsumed by 60 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A). % 195.39/195.59 ** KEPT (pick-wt=13): 61 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|C=B. % 195.39/195.59 Following clause subsumed by 61 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lesse_quals(B,C,A). % 195.39/195.59 ** KEPT (pick-wt=14): 62 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A). % 195.39/195.59 ** KEPT (pick-wt=26): 63 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),c_Orderings_Oord__class_Omax(C,D,A))=c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),D),A). % 195.39/195.59 ** KEPT (pick-wt=37): 64 [] c_Set_Oimage(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B,E)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,E). % 195.39/195.59 ** KEPT (pick-wt=18): 65 [] 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. % 195.39/195.59 ** KEPT (pick-wt=17): 66 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(D,C,A),A). % 195.39/195.59 ** KEPT (pick-wt=25): 67 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)). % 195.39/195.59 ** KEPT (pick-wt=25): 68 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)). % 195.39/195.59 ** KEPT (pick-wt=25): 69 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)). % 195.39/195.59 ** KEPT (pick-wt=25): 70 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)). % 195.39/195.59 ** KEPT (pick-wt=19): 71 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),D),B),C,A). % 195.39/195.59 ** KEPT (pick-wt=15): 72 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=c_Orderings_Otop__class_Otop(A)|C=c_Orderings_Otop__class_Otop(A). % 195.39/195.59 ** KEPT (pick-wt=15): 73 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=c_Orderings_Otop__class_Otop(A)|B=c_Orderings_Otop__class_Otop(A). % 195.39/195.59 ** KEPT (pick-wt=11): 74 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Orderings_Otop__class_Otop(A))=B. % 195.39/195.59 ** KEPT (pick-wt=11): 75 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Otop__class_Otop(A)),B)=B. % 195.39/195.59 ** KEPT (pick-wt=6): 76 [] -c_HOL_Oord__class_Oless(A,A,tc_fun(B,tc_bool)). % 195.39/195.59 ** KEPT (pick-wt=6): 77 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A). % 195.39/195.59 ** KEPT (pick-wt=6): 78 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A). % 195.39/195.59 ** KEPT (pick-wt=6): 79 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A). % 195.39/195.59 ** KEPT (pick-wt=10): 80 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),B)=B. % 195.39/195.59 ** KEPT (pick-wt=13): 81 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B. % 195.39/195.59 ** KEPT (pick-wt=13): 82 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A). % 195.39/195.59 Following clause subsumed by 82 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B. % 195.39/195.59 Following clause subsumed by 82 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A). % 195.39/195.59 Following clause subsumed by 82 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A). % 195.39/195.59 ** KEPT (pick-wt=8): 83 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,B,A)=B. % 195.39/195.59 ** KEPT (pick-wt=15): 84 [] -class_Lattices_Olower__semilattice(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_HOL_Oord__class_Oless(C,D,A). % 195.39/195.59 ** KEPT (pick-wt=15): 85 [] -class_Lattices_Olower__semilattice(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_HOL_Oord__class_Oless(B,D,A). % 195.39/195.59 ** KEPT (pick-wt=20): 86 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C). % 195.39/195.59 ** KEPT (pick-wt=20): 87 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C). % 195.39/195.59 ** KEPT (pick-wt=10): 88 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),B)=B. % 195.39/195.59 ** KEPT (pick-wt=22): 89 [] hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A,C),hAPP(B,D))=D| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,C). % 195.39/195.59 Following clause subsumed by 89 during input processing: 0 [] -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C)|hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),A,B,C),hAPP(A,D))=D. % 195.39/195.59 ** KEPT (pick-wt=14): 90 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)). % 195.39/195.59 ** KEPT (pick-wt=14): 91 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))). % 195.39/195.59 ** KEPT (pick-wt=19): 92 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D))| -hBOOL(hAPP(B,D)). % 195.39/195.59 ** KEPT (pick-wt=25): 93 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omax(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),c_Orderings_Oord__class_Omax(B,C,A)),c_Orderings_Oord__class_Omax(B,D,A)),A). % 195.39/195.59 ** KEPT (pick-wt=17): 94 [] c_Set_Ovimage(c_COMBK(A,B,C),D,C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool))| -c_in(A,D,B). % 195.39/195.59 ** KEPT (pick-wt=19): 95 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(D,E,A)| -c_HOL_Oord__class_Oless(B,C,A). % 195.39/195.59 ** KEPT (pick-wt=19): 96 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,E,A). % 195.39/195.59 ** KEPT (pick-wt=24): 98 [copy,97,flip.2] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),c_Orderings_Oord__class_Omax(B,C,A)),c_Orderings_Oord__class_Omax(D,C,A))=c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),D),C,A). % 195.39/195.59 ** KEPT (pick-wt=24): 100 [copy,99,flip.2] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),c_Orderings_Oord__class_Omax(B,C,A)),c_Orderings_Oord__class_Omax(B,D,A))=c_Orderings_Oord__class_Omax(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A). % 195.39/195.59 ** KEPT (pick-wt=10): 101 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A). % 195.39/195.59 ** KEPT (pick-wt=10): 102 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A). % 195.39/195.59 ** KEPT (pick-wt=10): 103 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A). % 195.39/195.59 Following clause subsumed by 103 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A). % 195.39/195.59 ** KEPT (pick-wt=28): 104 [] 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). % 195.39/195.59 ** KEPT (pick-wt=21): 105 [] -c_in(A,B,C)| -c_in(A,D,C)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)). % 195.39/195.59 ** KEPT (pick-wt=25): 106 [] c_Finite__Set_Ofold__graph(A,B,c_Set_Oinsert(C,D,E),hAPP(hAPP(A,C),F),E,G)| -c_Finite__Set_Ofold__graph(A,B,D,F,E,G)|c_in(C,D,E). % 195.39/195.59 ** KEPT (pick-wt=19): 107 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_in(D,B,C)| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)). % 195.39/195.59 ** KEPT (pick-wt=19): 108 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,C,D)| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)). % 195.39/195.59 ** KEPT (pick-wt=27): 109 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),D)=c_Set_Oinsert(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),A)| -c_in(B,D,A). % 195.39/195.59 ** KEPT (pick-wt=27): 110 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A))=c_Set_Oinsert(C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),A)| -c_in(C,B,A). % 195.39/195.59 ** KEPT (pick-wt=20): 111 [] c_in(A,c_Inductive_Ocomplete__lattice__class_Ogfp(B,tc_fun(C,tc_bool)),C)| -c_lesse_quals(D,hAPP(B,D),tc_fun(C,tc_bool))| -c_in(A,D,C). % 195.39/195.59 ** KEPT (pick-wt=16): 112 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OlessThan(C,A),tc_fun(A,tc_bool)). % 195.39/195.59 ** KEPT (pick-wt=16): 113 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OlessThan(C,A),tc_fun(A,tc_bool))| -c_lesse_quals(B,C,A). % 195.39/195.59 ** KEPT (pick-wt=18): 114 [] c_in(hAPP(c_Hilbert__Choice_Oinv__into(A,B,C,D),E),A,C)| -c_in(E,c_Set_Oimage(B,A,C,D),D). % 195.39/195.59 ** KEPT (pick-wt=34): 115 [] hAPP(c_Hilbert__Choice_Oinv__into(A,B,C,D),E)!=hAPP(c_Hilbert__Choice_Oinv__into(A,B,C,D),F)|E=F| -c_in(F,c_Set_Oimage(B,A,C,D),D)| -c_in(E,c_Set_Oimage(B,A,C,D),D). % 195.39/195.59 ** KEPT (pick-wt=19): 116 [] hAPP(A,hAPP(c_Hilbert__Choice_Oinv__into(B,A,C,D),E))=E| -c_in(E,c_Set_Oimage(A,B,C,D),D). % 195.39/195.59 ** KEPT (pick-wt=20): 117 [] hAPP(c_Hilbert__Choice_Oinv__into(A,B,C,D),hAPP(B,E))=E| -c_in(E,A,C)| -c_Fun_Oinj__on(B,A,C,D). % 195.39/195.59 Following clause subsumed by 117 during input processing: 0 [] -c_in(A,B,C)| -c_Fun_Oinj__on(D,B,C,E)|hAPP(c_Hilbert__Choice_Oinv__into(B,D,C,E),hAPP(D,A))=A. % 195.39/195.59 ** KEPT (pick-wt=20): 118 [] hAPP(c_Fun_Othe__inv__into(A,B,C,D),hAPP(B,E))=E| -c_in(E,A,C)| -c_Fun_Oinj__on(B,A,C,D). % 195.39/195.59 Following clause subsumed by 118 during input processing: 0 [] -c_Fun_Oinj__on(A,B,C,D)|hAPP(c_Fun_Othe__inv__into(B,A,C,D),hAPP(A,E))=E| -c_in(E,B,C). % 195.39/195.59 ** KEPT (pick-wt=21): 119 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))=B. % 195.39/195.59 ** KEPT (pick-wt=18): 120 [] c_Fun_Oinj__on(c_Fun_Othe__inv__into(A,B,C,D),c_Set_Oimage(B,A,C,D),D,C)| -c_Fun_Oinj__on(B,A,C,D). % 195.39/195.59 ** KEPT (pick-wt=22): 121 [] 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. % 195.39/195.59 ** KEPT (pick-wt=20): 122 [] c_Set_Oimage(c_Fun_Othe__inv__into(A,B,C,D),c_Set_Oimage(B,A,C,D),D,C)=A| -c_Fun_Oinj__on(B,A,C,D). % 195.39/195.59 ** KEPT (pick-wt=16): 123 [] c_Finite__Set_Ocard(c_Set_Oimage(A,B,C,D),D)=c_Finite__Set_Ocard(B,C)| -c_Fun_Oinj__on(A,B,C,D). % 195.39/195.59 ** KEPT (pick-wt=17): 124 [] c_Finite__Set_Ocard(c_Set_Oinsert(A,B,C),C)=c_Finite__Set_Ocard(B,C)| -c_in(A,B,C)| -c_Finite__Set_Ofinite(B,C). % 195.39/195.59 ** KEPT (pick-wt=19): 125 [] hAPP(A,B)=C| -c_in(B,c_Set_Ovimage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),E,D),E). % 195.39/195.59 ** KEPT (pick-wt=23): 126 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_in(D,A,C)|c_in(D,B,C)| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)). % 195.39/195.59 ** KEPT (pick-wt=23): 127 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D)|c_in(B,C,D). % 195.39/195.59 ** KEPT (pick-wt=14): 128 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_lesse_quals(B,D,A). % 195.39/195.59 ** KEPT (pick-wt=14): 129 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_lesse_quals(D,C,A). % 195.39/195.59 ** KEPT (pick-wt=14): 130 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A). % 195.39/195.59 ** KEPT (pick-wt=14): 131 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(B,c_Inductive_Ocomplete__lattice__class_Ogfp(C,A),A)| -c_lesse_quals(B,hAPP(C,B),A). % 195.39/195.59 ** KEPT (pick-wt=7): 132 [] -class_Orderings_Otop(A)|c_lesse_quals(B,c_Orderings_Otop__class_Otop(A),A). % 195.39/195.59 ** KEPT (pick-wt=11): 133 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A). % 195.39/195.59 ** KEPT (pick-wt=11): 134 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A). % 195.39/195.59 ** KEPT (pick-wt=19): 135 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A). % 195.39/195.59 Following clause subsumed by 135 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A). % 195.39/195.59 Following clause subsumed by 135 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A). % 195.39/195.59 ** KEPT (pick-wt=11): 136 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A). % 195.39/195.59 ** KEPT (pick-wt=11): 137 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A). % 195.39/195.59 ** KEPT (pick-wt=10): 138 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A). % 195.39/195.59 ** KEPT (pick-wt=10): 139 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A). % 195.39/195.59 ** KEPT (pick-wt=14): 140 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A). % 195.39/195.59 ** KEPT (pick-wt=13): 141 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Orderings_Oord__class_Omax(B,D,A),C,A). % 195.39/195.59 ** KEPT (pick-wt=13): 142 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Orderings_Oord__class_Omax(D,B,A),C,A). % 195.39/195.59 ** KEPT (pick-wt=13): 143 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_lesse_quals(B,C,A). % 195.39/195.59 ** KEPT (pick-wt=13): 144 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_lesse_quals(B,D,A). % 195.39/195.59 Following clause subsumed by 143 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_lesse_quals(B,C,A). % 195.39/195.59 Following clause subsumed by 144 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_lesse_quals(B,D,A). % 195.39/195.59 Following clause subsumed by 141 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Orderings_Oord__class_Omax(B,D,A),C,A). % 195.39/195.59 Following clause subsumed by 142 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Orderings_Oord__class_Omax(D,B,A),C,A). % 195.39/195.59 ** KEPT (pick-wt=19): 145 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(D,C,A)| -c_lesse_quals(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),D),B),C,A). % 195.39/195.59 ** KEPT (pick-wt=15): 146 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A). % 195.39/195.59 ** KEPT (pick-wt=15): 147 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),D),C),A). % 195.39/195.59 ** KEPT (pick-wt=15): 148 [] -class_Orderings_Olinorder(A)|c_lesse_quals(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_lesse_quals(B,D,A). % 195.39/195.59 ** KEPT (pick-wt=15): 149 [] -class_Orderings_Olinorder(A)|c_lesse_quals(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_lesse_quals(C,D,A). % 195.39/195.59 Following clause subsumed by 148 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_lesse_quals(B,D,A). % 195.39/195.59 Following clause subsumed by 149 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_lesse_quals(C,D,A). % 195.39/195.59 Following clause subsumed by 146 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A). % 195.39/195.59 Following clause subsumed by 147 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),D),C),A). % 195.39/195.59 ** KEPT (pick-wt=17): 150 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(B,D,A)| -c_lesse_quals(B,c_Orderings_Oord__class_Omax(D,C,A),A). % 195.39/195.59 ** KEPT (pick-wt=9): 151 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omax(C,B,A),A). % 195.39/195.59 ** KEPT (pick-wt=9): 152 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omax(B,C,A),A). % 195.39/195.59 ** KEPT (pick-wt=17): 153 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A). % 195.50/195.59 Following clause subsumed by 153 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A). % 195.50/195.59 Following clause subsumed by 153 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A). % 195.50/195.59 ** KEPT (pick-wt=11): 154 [] -class_Orderings_Olinorder(A)|c_lesse_quals(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),B,A). % 195.50/195.59 ** KEPT (pick-wt=11): 155 [] -class_Orderings_Olinorder(A)|c_lesse_quals(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),C,A). % 195.50/195.59 ** KEPT (pick-wt=19): 156 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A). % 195.50/195.59 Following clause subsumed by 156 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A). % 195.50/195.59 Following clause subsumed by 156 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A). % 195.50/195.59 ** KEPT (pick-wt=12): 157 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,C,A)=C| -c_lesse_quals(B,C,A). % 195.50/195.59 ** KEPT (pick-wt=12): 158 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,C,A)!=C|c_lesse_quals(B,C,A). % 195.50/195.59 ** KEPT (pick-wt=12): 159 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,C,A)=B| -c_lesse_quals(C,B,A). % 195.50/195.59 ** KEPT (pick-wt=14): 160 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)=B| -c_lesse_quals(B,C,A). % 195.50/195.59 ** KEPT (pick-wt=14): 161 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)!=B|c_lesse_quals(B,C,A). % 195.50/195.59 ** KEPT (pick-wt=14): 162 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)=C| -c_lesse_quals(C,B,A). % 195.50/195.59 ** KEPT (pick-wt=10): 163 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A). % 195.50/195.59 Following clause subsumed by 102 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A). % 195.50/195.59 Following clause subsumed by 163 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lesse_quals(B,B,A). % 195.50/195.59 ** KEPT (pick-wt=10): 164 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(C,B,A). % 195.50/195.59 Following clause subsumed by 163 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A). % 195.50/195.59 Following clause subsumed by 164 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A). % 195.50/195.59 Following clause subsumed by 163 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A). % 195.50/195.59 ** KEPT (pick-wt=10): 165 [] -class_Orderings_Opreorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A). % 195.50/195.59 ** KEPT (pick-wt=14): 166 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=B| -c_lesse_quals(B,C,A). % 195.50/195.59 ** KEPT (pick-wt=14): 167 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=B|c_lesse_quals(B,C,A). % 195.50/195.59 ** KEPT (pick-wt=14): 168 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=C| -c_lesse_quals(C,B,A). % 195.50/195.59 ** KEPT (pick-wt=15): 169 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A). % 195.50/195.59 ** KEPT (pick-wt=15): 170 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A). % 195.50/195.59 ** KEPT (pick-wt=15): 171 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_lesse_quals(B,D,A). % 195.50/195.59 ** KEPT (pick-wt=15): 172 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_lesse_quals(C,D,A). % 195.50/195.59 Following clause subsumed by 169 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A). % 195.50/195.59 Following clause subsumed by 170 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A). % 195.50/195.59 ** KEPT (pick-wt=8): 173 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A). % 195.50/195.59 ** KEPT (pick-wt=10): 174 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofold__graph(C,D,A,E,B,F). % 195.50/195.59 ** KEPT (pick-wt=13): 175 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A). % 195.50/195.59 ** KEPT (pick-wt=13): 176 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(B,A). % 195.50/195.59 ** KEPT (pick-wt=12): 177 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Obot__class_Obot(A)),B)=c_Orderings_Obot__class_Obot(A). % 195.50/195.59 ** KEPT (pick-wt=12): 178 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Orderings_Obot__class_Obot(A))=c_Orderings_Obot__class_Obot(A). % 195.50/195.59 ** KEPT (pick-wt=9): 179 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 195.50/195.59 ** KEPT (pick-wt=9): 180 [] -c_HOL_Oord__class_Oless(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)). % 195.50/195.59 ** KEPT (pick-wt=13): 181 [] A=B| -c_Finite__Set_Ofold__graph(C,B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),A,D,E). % 195.50/195.59 ** KEPT (pick-wt=14): 182 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,tc_fun(D,A))| -c_HOL_Oord__class_Oless(B,C,tc_fun(D,A)). % 195.50/195.59 ** KEPT (pick-wt=20): 183 [] -class_HOL_Oord(A)|c_HOL_Oord__class_Oless(B,C,tc_fun(D,A))|c_lesse_quals(C,B,tc_fun(D,A))| -c_lesse_quals(B,C,tc_fun(D,A)). % 195.50/195.59 ** KEPT (pick-wt=14): 184 [] -class_HOL_Oord(A)| -c_lesse_quals(B,C,tc_fun(D,A))| -c_HOL_Oord__class_Oless(C,B,tc_fun(D,A)). % 195.50/195.59 ** KEPT (pick-wt=15): 185 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)). % 195.50/195.59 Following clause subsumed by 185 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))|A=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)). % 195.50/195.59 ** KEPT (pick-wt=32): 186 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),E),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)). % 195.50/195.59 ** KEPT (pick-wt=18): 187 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)). % 195.50/195.59 ** KEPT (pick-wt=18): 188 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,D,tc_fun(C,tc_bool)). % 195.50/195.59 ** KEPT (pick-wt=25): 189 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_lesse_quals(A,C,tc_fun(B,tc_bool)). % 195.50/195.59 Following clause subsumed by 189 during input processing: 0 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_lesse_quals(A,C,tc_fun(B,tc_bool)). % 195.50/195.59 ** KEPT (pick-wt=12): 190 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool)). % 195.50/195.59 ** KEPT (pick-wt=16): 191 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=B| -c_lesse_quals(B,C,tc_fun(A,tc_bool)). % 195.50/195.59 ** KEPT (pick-wt=16): 192 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=C| -c_lesse_quals(C,B,tc_fun(A,tc_bool)). % 195.51/195.60 ** KEPT (pick-wt=20): 193 [] 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)). % 195.51/195.60 ** KEPT (pick-wt=19): 194 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B),tc_fun(C,tc_bool)). % 195.51/195.60 ** KEPT (pick-wt=19): 195 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),D),tc_fun(C,tc_bool)). % 195.51/195.60 ** KEPT (pick-wt=25): 196 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D)| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)). % 195.51/195.60 ** KEPT (pick-wt=27): 197 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(C,A,D)))| -hBOOL(hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))))| -c_lesse_quals(B,C,tc_fun(D,tc_bool))| -c_Finite__Set_Ofinite(B,D). % 195.51/195.60 ** KEPT (pick-wt=26): 198 [] hBOOL(hAPP(A,B))|c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(C,A,D),D)| -hBOOL(hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))))| -c_lesse_quals(B,C,tc_fun(D,tc_bool))| -c_Finite__Set_Ofinite(B,D). % 195.51/195.60 ** KEPT (pick-wt=21): 199 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),E,tc_fun(D,tc_bool))| -c_in(hAPP(A,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(B,E,A,C,D)),E,D). % 195.51/195.60 ** KEPT (pick-wt=30): 200 [] c_in(hAPP(A,B),c_Inductive_Ocomplete__lattice__class_Ogfp(C,tc_fun(D,tc_bool)),D)| -c_lesse_quals(c_Set_Oimage(A,E,F,D),hAPP(C,c_Set_Oimage(A,E,F,D)),tc_fun(D,tc_bool))| -c_in(B,E,F). % 195.51/195.60 ** KEPT (pick-wt=21): 201 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),E,tc_fun(D,tc_bool))| -c_in(hAPP(A,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(B,E,A,C,D)),E,D). % 195.51/195.60 ** KEPT (pick-wt=22): 202 [] c_in(A,B,C)| -c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)| -c_Fun_Oinj__on(D,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,E). % 195.51/195.60 ** KEPT (pick-wt=22): 203 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E). % 195.51/195.60 ** KEPT (pick-wt=24): 204 [] hAPP(A,hAPP(c_Fun_Othe__inv__into(B,A,C,D),E))=E| -c_in(E,c_Set_Oimage(A,B,C,D),D)| -c_Fun_Oinj__on(A,B,C,D). % 195.51/195.60 ** KEPT (pick-wt=23): 205 [] c_Fun_Oinj__on(c_Fun_Ofun__upd(A,B,C,D,E),F,D,E)|c_in(C,c_Set_Oimage(A,F,D,E),E)| -c_Fun_Oinj__on(A,F,D,E). % 195.51/195.60 ** KEPT (pick-wt=28): 206 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Set_Oimage(E,B,C,C),C,D)| -c_Fun_Oinj__on(E,B,C,C)|c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(B,E,A,C,D),B,C). % 195.51/195.60 ** KEPT (pick-wt=28): 207 [] c_Fun_Oinj__on(A,c_Set_Oimage(B,C,D,D),D,E)| -c_Fun_Oinj__on(A,C,D,E)| -c_Fun_Oinj__on(B,C,D,D)|c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(C,B,A,D,E),C,D). % 195.51/195.60 ** KEPT (pick-wt=28): 208 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Set_Oimage(E,B,C,C),C,D)| -c_Fun_Oinj__on(E,B,C,C)|c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(B,E,A,C,D),B,C). % 195.51/195.60 ** KEPT (pick-wt=28): 209 [] c_Fun_Oinj__on(A,c_Set_Oimage(B,C,D,D),D,E)| -c_Fun_Oinj__on(A,C,D,E)| -c_Fun_Oinj__on(B,C,D,D)|c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(C,B,A,D,E),C,D). % 195.51/195.60 ** KEPT (pick-wt=24): 210 [] -class_Orderings_Oorder(A)|c_HOL_Ominus__class_Ominus(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),c_SetInterval_Oord__class_OlessThan(B,A),tc_fun(A,tc_bool))=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A). % 195.51/195.60 ** KEPT (pick-wt=19): 211 [] c_Finite__Set_Ocard(c_Set_Oimage(A,B,C,D),D)!=c_Finite__Set_Ocard(B,C)| -c_Finite__Set_Ofinite(B,C)|c_Fun_Oinj__on(A,B,C,D). % 195.51/195.60 Following clause subsumed by 123 during input processing: 0 [] c_Finite__Set_Ocard(c_Set_Oimage(A,B,C,D),D)=c_Finite__Set_Ocard(B,C)| -c_Fun_Oinj__on(A,B,C,D)| -c_Finite__Set_Ofinite(B,C). % 195.51/195.60 ** KEPT (pick-wt=26): 212 [] c_Set_Oimage(c_Hilbert__Choice_Oinv__into(A,B,C,D),c_Set_Oimage(B,E,C,D),D,C)=E| -c_lesse_quals(E,A,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(B,A,C,D). % 195.51/195.60 ** KEPT (pick-wt=46): 213 [] c_Set_Oimage(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B,E)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E))| -c_lesse_quals(D,F,tc_fun(B,tc_bool))| -c_lesse_quals(C,F,tc_fun(B,tc_bool))| -c_Fun_Oinj__on(A,F,B,E). % 195.51/195.60 ** KEPT (pick-wt=28): 214 [] 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). % 195.51/195.60 ** KEPT (pick-wt=28): 215 [] 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). % 195.51/195.60 ** KEPT (pick-wt=19): 216 [] c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(A,B,C,D),E,D,C)| -c_lesse_quals(E,c_Set_Oimage(B,A,C,D),tc_fun(D,tc_bool)). % 195.51/195.60 ** KEPT (pick-wt=33): 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_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E). % 195.51/195.60 ** KEPT (pick-wt=21): 218 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(B,A)=C| -c_in(C,B,A)|c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__e_qI__1__1(B,C,A),B,A)| -c_Finite__Set_Ofinite(B,A). % 195.51/195.60 ** KEPT (pick-wt=21): 219 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMin(B,A)=C| -c_in(C,B,A)|c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__e_qI__1__1(B,C,A),B,A)| -c_Finite__Set_Ofinite(B,A). % 195.51/195.60 ** KEPT (pick-wt=33): 220 [] c_Nitpick_Ofold__graph_H(A,B,C,hAPP(hAPP(A,D),E),F,G)| -c_Nitpick_Ofold__graph_H(A,B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(F,tc_bool)),F),tc_fun(F,tc_bool)),E,F,G)| -c_in(D,C,F). % 195.51/195.60 ** KEPT (pick-wt=34): 221 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_in(B,A,C)|c_in(B,D,C)| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)). % 195.51/195.60 ** KEPT (pick-wt=34): 222 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,A,D)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))|c_in(B,C,D). % 195.51/195.60 ** KEPT (pick-wt=36): 223 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,A,D)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)). % 195.51/195.60 ** KEPT (pick-wt=33): 224 [] c_Finite__Set_Ofold__graph(A,B,C,hAPP(hAPP(A,D),E),F,G)| -c_in(D,C,F)| -c_Finite__Set_Ofold__graph(A,B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(F,tc_bool)),F),tc_fun(F,tc_bool)),E,F,G). % 195.51/195.60 ** KEPT (pick-wt=34): 225 [] -class_OrderedGroup_Oab__group__add(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,D,tc_fun(E,tc_bool)),E,A)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(B,C,E,A),c_Finite__Set_Osetsum(B,D,E,A),A)| -c_lesse_quals(D,C,tc_fun(E,tc_bool))| -c_Finite__Set_Ofinite(C,E). % 195.51/195.60 ** KEPT (pick-wt=29): 226 [] c_in(hAPP(c_Fun_Othe__inv__into(A,B,C,D),E),F,C)| -c_lesse_quals(A,F,tc_fun(C,tc_bool))| -c_in(E,c_Set_Oimage(B,A,C,D),D)| -c_Fun_Oinj__on(B,A,C,D). % 195.51/195.60 ** KEPT (pick-wt=38): 227 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)). % 195.51/195.60 ** KEPT (pick-wt=43): 228 [] c_Finite__Set_Ocard(A,B)=c_Finite__Set_Ocard(C,D)| -c_Finite__Set_Ofinite(C,D)| -c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(c_Set_Oimage(E,C,D,B),A,tc_fun(B,tc_bool))| -c_Fun_Oinj__on(E,C,D,B)| -c_lesse_quals(c_Set_Oimage(F,A,B,D),C,tc_fun(D,tc_bool))| -c_Fun_Oinj__on(F,A,B,D). % 195.51/195.60 ** KEPT (pick-wt=21): 229 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(B,A)=C| -c_in(C,B,A)| -c_lesse_quals(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__e_qI__1__1(B,C,A),C,A)| -c_Finite__Set_Ofinite(B,A). % 195.51/195.60 ** KEPT (pick-wt=21): 230 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMin(B,A)=C| -c_in(C,B,A)| -c_lesse_quals(C,c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__e_qI__1__1(B,C,A),A)| -c_Finite__Set_Ofinite(B,A). % 195.51/195.60 ** KEPT (pick-wt=24): 231 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(B,C,A),A)=c_Orderings_Oord__class_Omax(B,c_Finite__Set_Olinorder__class_OMax(C,A),A)|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(C,A). % 195.51/195.60 ** KEPT (pick-wt=26): 233 [copy,232,flip.2] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),c_Finite__Set_Olinorder__class_OMin(C,A))=c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(B,C,A),A)|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(C,A). % 195.51/195.60 ** KEPT (pick-wt=31): 234 [] -class_OrderedGroup_Oab__group__add(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,A)=c_Finite__Set_Osetsum(B,C,E,A)|c_in(D,C,E)| -c_Finite__Set_Ofinite(C,E). % 195.51/195.60 ** KEPT (pick-wt=25): 235 [] c_Finite__Set_Ocard(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)),C)=c_Finite__Set_Ocard(A,C)|c_in(B,A,C)| -c_Finite__Set_Ofinite(A,C). % 195.51/195.60 ** KEPT (pick-wt=36): 236 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))|c_in(B,C,D). % 195.51/195.60 ** KEPT (pick-wt=34): 238 [copy,237,flip.1] c_Set_Oinsert(A,c_Set_Oimage(B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,F),F)=c_Set_Oimage(c_Fun_Ofun__upd(B,D,A,E,F),C,E,F)| -c_in(D,C,E). % 195.51/195.60 ** KEPT (pick-wt=30): 239 [] hBOOL(hAPP(A,B))| -c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(C,A,D),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(C,A,D),D)| -hBOOL(hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))))| -c_lesse_quals(B,C,tc_fun(D,tc_bool))| -c_Finite__Set_Ofinite(B,D). % 195.51/195.60 ** KEPT (pick-wt=33): 240 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(C,A,D),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(C,A,D),D)))| -hBOOL(hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))))| -c_lesse_quals(B,C,tc_fun(D,tc_bool))| -c_Finite__Set_Ofinite(B,D). % 195.51/195.60 ** KEPT (pick-wt=36): 241 [] -class_OrderedGroup_Oab__group__add(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,A)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(B,C,E,A),hAPP(B,D),A)| -c_in(D,C,E)| -c_Finite__Set_Ofinite(C,E). % 195.51/195.60 ** KEPT (pick-wt=36): 242 [] -class_Ring__and__Field_Oring(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,A)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(B,C,E,A),hAPP(B,D),A)| -c_in(D,C,E)| -c_Finite__Set_Ofinite(C,E). % 195.51/195.60 ** KEPT (pick-wt=32): 243 [] 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)). % 195.51/195.60 ** KEPT (pick-wt=21): 244 [] 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| -c_in(A,B,C). % 195.51/195.60 ** KEPT (pick-wt=17): 245 [] -class_Orderings_Olinorder(A)|c_in(c_Finite__Set_Olinorder__class_OMax(B,A),B,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A). % 195.51/195.60 ** KEPT (pick-wt=17): 246 [] -class_Orderings_Olinorder(A)|c_in(c_Finite__Set_Olinorder__class_OMin(B,A),B,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A). % 195.51/195.60 ** KEPT (pick-wt=15): 247 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(B,A),C,A)| -c_in(C,B,A)| -c_Finite__Set_Ofinite(B,A). % 195.51/195.60 ** KEPT (pick-wt=15): 248 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Finite__Set_Olinorder__class_OMax(C,A),A)| -c_in(B,C,A)| -c_Finite__Set_Ofinite(C,A). % 195.51/195.60 ** KEPT (pick-wt=15): 249 [] c_Finite__Set_Ofinite(A,B)| -c_Fun_Oinj__on(C,A,B,D)| -c_Finite__Set_Ofinite(c_Set_Oimage(C,A,B,D),D). % 195.51/195.60 ** KEPT (pick-wt=13): 250 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B. % 195.51/195.60 ** KEPT (pick-wt=13): 251 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B. % 195.51/195.60 ** KEPT (pick-wt=19): 252 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)),C). % 195.51/195.60 ** KEPT (pick-wt=19): 253 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool)),D)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),D). % 195.51/195.60 ** KEPT (pick-wt=29): 254 [] -c_in(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),E)| -c_Fun_Oinj__on(A,c_Set_Oinsert(B,C,D),D,E). % 195.51/195.60 ** KEPT (pick-wt=34): 255 [] c_Fun_Oinj__on(A,c_Set_Oinsert(B,C,D),D,E)|c_in(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),E)| -c_Fun_Oinj__on(A,C,D,E). % 195.51/195.60 ** KEPT (pick-wt=20): 256 [] 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))| -c_in(A,D,C). % 195.51/195.60 ** KEPT (pick-wt=42): 257 [] 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). % 195.51/195.60 ** KEPT (pick-wt=28): 258 [] 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)). % 195.51/195.60 ** KEPT (pick-wt=16): 259 [] 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). % 195.51/195.60 ** KEPT (pick-wt=25): 260 [] 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)). % 195.51/195.60 ** KEPT (pick-wt=13): 261 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Set_Oinsert(E,B,C),C,D). % 195.51/195.60 ** KEPT (pick-wt=11): 262 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C). % 195.51/195.60 ** KEPT (pick-wt=14): 263 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(C,B). % 195.51/195.60 Following clause subsumed by 262 during input processing: 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,C). % 195.51/195.60 ** KEPT (pick-wt=19): 264 [] -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). % 195.51/195.60 ** KEPT (pick-wt=19): 265 [] -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). % 195.51/195.60 ** KEPT (pick-wt=17): 266 [] c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)|c_in(A,C,D)| -c_in(A,B,D). % 195.51/195.60 Following clause subsumed by 266 during input processing: 0 [] c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)|c_in(A,C,D)| -c_in(A,B,D). % 195.51/195.60 ** KEPT (pick-wt=23): 267 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -c_in(C,D,E)| -c_in(B,D,E). % 195.51/195.60 Following clause subsumed by 267 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_in(C,D,E)| -c_in(B,D,E)| -c_Fun_Oinj__on(A,D,E,F)|B=C. % 195.51/195.60 Following clause subsumed by 267 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_in(C,D,E)| -c_in(B,D,E)| -c_Fun_Oinj__on(A,D,E,F)|B=C. % 195.51/195.60 Following clause subsumed by 267 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_in(C,D,E)| -c_in(B,D,E)|B=C| -c_Fun_Oinj__on(A,D,E,F). % 195.51/195.60 ** KEPT (pick-wt=13): 268 [] c_in(A,B,C)| -c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C). % 195.51/195.60 ** KEPT (pick-wt=13): 269 [] -c_in(A,B,C)| -c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C). % 195.51/195.60 ** KEPT (pick-wt=14): 270 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D. % 195.51/195.60 ** KEPT (pick-wt=14): 271 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C. % 195.51/195.60 ** KEPT (pick-wt=15): 272 [] 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). % 195.51/195.60 ** KEPT (pick-wt=24): 273 [] c_lesse_quals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(A,B,C,D,E),A,tc_fun(D,tc_bool))| -c_lesse_quals(B,c_Set_Oimage(C,A,D,E),tc_fun(E,tc_bool))| -c_Finite__Set_Ofinite(B,E). % 195.51/195.60 ** KEPT (pick-wt=25): 274 [] c_Set_Oimage(A,B,C,C)=B| -c_Fun_Oinj__on(A,B,C,C)| -c_lesse_quals(c_Set_Oimage(A,B,C,C),B,tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C). % 195.51/195.60 ** KEPT (pick-wt=21): 275 [] c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(A,B,C,D,E),D)| -c_lesse_quals(B,c_Set_Oimage(C,A,D,E),tc_fun(E,tc_bool))| -c_Finite__Set_Ofinite(B,E). % 195.51/195.60 ** KEPT (pick-wt=25): 277 [copy,276,flip.1] c_Set_Oimage(A,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(B,C,A,D,E),D,E)=C| -c_lesse_quals(C,c_Set_Oimage(A,B,D,E),tc_fun(E,tc_bool))| -c_Finite__Set_Ofinite(C,E). % 195.51/195.60 ** KEPT (pick-wt=18): 278 [] c_Fun_Oinj__on(A,B,C,C)| -c_lesse_quals(B,c_Set_Oimage(A,B,C,C),tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C). % 195.51/195.60 ** KEPT (pick-wt=27): 279 [] hBOOL(hAPP(A,B))|c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(C,A,D),C,D)| -hBOOL(hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))))| -c_lesse_quals(B,C,tc_fun(D,tc_bool))| -c_Finite__Set_Ofinite(B,D). % 195.51/195.60 ** KEPT (pick-wt=25): 280 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(B,A),c_Finite__Set_Olinorder__class_OMin(C,A),A)| -c_Finite__Set_Ofinite(B,A)|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(C,B,tc_fun(A,tc_bool)). % 195.51/195.60 ** KEPT (pick-wt=25): 281 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMax(B,A),c_Finite__Set_Olinorder__class_OMax(C,A),A)| -c_Finite__Set_Ofinite(C,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,tc_fun(A,tc_bool)). % 195.51/195.60 ** KEPT (pick-wt=30): 282 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,A,D)| -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)). % 195.51/195.60 Following clause subsumed by 282 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,A,D)| -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)). % 195.51/195.60 ** KEPT (pick-wt=30): 283 [] 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))| -c_in(B,A,C)| -c_lesse_quals(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)). % 195.51/195.60 ** KEPT (pick-wt=20): 284 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)| -c_in(E,D,C). % 195.51/195.60 ** KEPT (pick-wt=10): 285 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A). % 195.51/195.60 ** KEPT (pick-wt=18): 286 [] 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)). % 195.51/195.60 ** KEPT (pick-wt=20): 287 [] -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)). % 195.51/195.60 Following clause subsumed by 287 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)). % 195.51/195.60 ** KEPT (pick-wt=27): 288 [] 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)). % 195.51/195.60 ** KEPT (pick-wt=16): 289 [] 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)). % 195.51/195.60 ** KEPT (pick-wt=11): 290 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D). % 195.51/195.60 Following clause subsumed by 290 during input processing: 0 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D). % 195.51/195.60 ** KEPT (pick-wt=12): 291 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B). % 195.51/195.60 ** KEPT (pick-wt=14): 292 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)). % 195.51/195.60 Following clause subsumed by 291 during input processing: 0 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)). % 195.51/195.60 ** KEPT (pick-wt=6): 293 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A). % 195.51/195.60 ** KEPT (pick-wt=6): 294 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A). % 195.51/195.60 Following clause subsumed by 292 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)). % 195.51/195.60 ** KEPT (pick-wt=18): 295 [] 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)). % 195.51/195.60 ** KEPT (pick-wt=14): 296 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)). % 195.51/195.60 Following clause subsumed by 296 during input processing: 0 [] c_in(A,B,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C). % 195.51/195.60 Following clause subsumed by 296 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)). % 195.51/195.60 Following clause subsumed by 296 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)). % 195.51/195.60 ** KEPT (pick-wt=14): 297 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A). % 195.51/195.60 ** KEPT (pick-wt=14): 298 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A). % 195.51/195.60 ** KEPT (pick-wt=19): 299 [] 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))| -c_in(A,D,C). % 195.51/195.60 ** KEPT (pick-wt=7): 300 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B). % 195.51/195.60 Following clause subsumed by 300 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C). % 195.51/195.60 Following clause subsumed by 300 during input processing: 0 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B). % 195.51/195.60 Following clause subsumed by 300 during input processing: 0 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B). % 195.51/195.60 ** KEPT (pick-wt=9): 301 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A). % 195.51/195.60 ** KEPT (pick-wt=15): 302 [] 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)). % 195.51/195.60 ** KEPT (pick-wt=27): 303 [] 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. % 195.51/195.60 ** KEPT (pick-wt=27): 304 [] 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. % 195.51/195.60 ** KEPT (pick-wt=27): 305 [] 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. % 195.51/195.61 ** KEPT (pick-wt=27): 306 [] 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. % 195.51/195.61 ** KEPT (pick-wt=10): 307 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C). % 195.51/195.61 ** KEPT (pick-wt=13): 308 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A). % 195.51/195.61 Following clause subsumed by 308 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A). % 195.51/195.61 Following clause subsumed by 308 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A). % 195.51/195.61 ** KEPT (pick-wt=15): 309 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)). % 195.51/195.61 Following clause subsumed by 309 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)). % 195.51/195.61 ** KEPT (pick-wt=14): 310 [] c_in(A,B,C)|A=D| -c_in(A,c_Set_Oinsert(D,B,C),C). % 195.51/195.61 ** KEPT (pick-wt=7): 311 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)). % 195.51/195.61 ** KEPT (pick-wt=9): 312 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C). % 195.51/195.61 ** KEPT (pick-wt=9): 313 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B). % 195.51/195.61 ** KEPT (pick-wt=14): 314 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)). % 195.51/195.61 ** KEPT (pick-wt=9): 315 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=7): 316 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A). % 195.51/195.61 ** KEPT (pick-wt=16): 317 [] 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)). % 195.51/195.61 ** KEPT (pick-wt=15): 318 [] 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)). % 195.51/195.61 ** KEPT (pick-wt=15): 319 [] 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)). % 195.51/195.61 ** KEPT (pick-wt=16): 320 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,c_Set_Oimage(C,D,E,B),tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(D,E). % 195.51/195.61 ** KEPT (pick-wt=20): 321 [] c_in(hAPP(A,B),C,D)| -c_in(B,E,F)| -c_lesse_quals(c_Set_Oimage(A,E,F,D),C,tc_fun(D,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=13): 322 [] A=B| -c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C). % 195.51/195.61 ** KEPT (pick-wt=8): 323 [] c_in(A,B,C)| -hBOOL(hAPP(B,A)). % 195.51/195.61 ** KEPT (pick-wt=8): 324 [] hBOOL(hAPP(A,B))| -c_in(B,A,C). % 195.51/195.61 ** KEPT (pick-wt=18): 325 [] 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. % 195.51/195.61 Following clause subsumed by 300 during input processing: 0 [] -hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C). % 195.51/195.61 Following clause subsumed by 315 during input processing: 0 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_in(A,B,C). % 195.51/195.61 ** KEPT (pick-wt=13): 326 [] c_in(A,B,C)| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=11): 327 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)). % 195.51/195.61 ** KEPT (pick-wt=20): 328 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -c_in(B,C,D). % 195.51/195.61 Following clause subsumed by 318 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_in(B,A,D). % 195.51/195.61 ** KEPT (pick-wt=19): 329 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_in(D,A,C)| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)). % 195.51/195.61 Following clause subsumed by 318 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_in(B,A,D). % 195.51/195.61 Following clause subsumed by 329 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))|c_in(D,A,C). % 195.51/195.61 ** KEPT (pick-wt=20): 330 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|c_in(A,D,C)|c_in(A,B,C)|B=D. % 195.51/195.61 ** KEPT (pick-wt=10): 331 [] c_Set_Oinsert(A,B,C)=B| -c_in(A,B,C). % 195.51/195.61 ** KEPT (pick-wt=5): 332 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A). % 195.51/195.61 ** KEPT (pick-wt=14): 333 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E). % 195.51/195.61 Following clause subsumed by 333 during input processing: 0 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E). % 195.51/195.61 Following clause subsumed by 333 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D). % 195.51/195.61 Following clause subsumed by 333 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D). % 195.51/195.61 ** KEPT (pick-wt=16): 334 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)). % 195.51/195.61 ** KEPT (pick-wt=18): 335 [] -c_lesse_quals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=6): 336 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B). % 195.51/195.61 ** KEPT (pick-wt=6): 337 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B). % 195.51/195.61 ** KEPT (pick-wt=6): 338 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B). % 195.51/195.61 ** KEPT (pick-wt=8): 339 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A). % 195.51/195.61 ** KEPT (pick-wt=6): 340 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B). % 195.51/195.61 ** KEPT (pick-wt=6): 341 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B). % 195.51/195.61 ** KEPT (pick-wt=6): 342 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B). % 195.51/195.61 ** KEPT (pick-wt=6): 343 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B). % 195.51/195.61 ** KEPT (pick-wt=6): 344 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B). % 195.51/195.61 ** KEPT (pick-wt=6): 345 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B). % 195.51/195.61 ** KEPT (pick-wt=7): 346 [] A=B| -c_fe_qual(A,B,C). % 195.51/195.61 287 back subsumes 215. % 195.51/195.61 Following clause subsumed by 315 during input processing: 0 [copy,301,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)). % 195.51/195.61 Following clause subsumed by 301 during input processing: 0 [copy,315,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A). % 195.51/195.61 318 back subsumes 243. % 195.51/195.61 332 back subsumes 173. % 195.51/195.61 333 back subsumes 203. % 195.51/195.61 % 195.51/195.61 ------------> process sos: % 195.51/195.61 ** KEPT (pick-wt=3): 386 [] A=A. % 195.51/195.61 ** KEPT (pick-wt=13): 387 [] 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)). % 195.51/195.61 ** KEPT (pick-wt=25): 388 [] 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)). % 195.51/195.61 ** KEPT (pick-wt=17): 389 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B). % 195.51/195.61 ** KEPT (pick-wt=29): 390 [] c_Set_Ovimage(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),E,B)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_Set_Ovimage(A,C,E,B)),c_Set_Ovimage(A,D,E,B)). % 195.51/195.61 ** KEPT (pick-wt=7): 391 [] c_in(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B). % 195.51/195.61 ** KEPT (pick-wt=26): 392 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),F,G,D,E)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,F,G,D,E),B,C,D,E)|B=F. % 195.51/195.61 ** KEPT (pick-wt=31): 393 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)). % 195.51/195.61 ---> New Demodulator: 394 [new_demod,393] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)). % 195.51/195.61 ** KEPT (pick-wt=31): 395 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)). % 195.51/195.61 ** KEPT (pick-wt=34): 396 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),tc_fun(A,tc_bool)). % 195.51/195.61 ---> New Demodulator: 397 [new_demod,396] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),tc_fun(A,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=34): 398 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),D)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)). % 195.51/195.61 ---> New Demodulator: 399 [new_demod,398] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),D)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=18): 400 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),B,F,D,E)=c_Fun_Ofun__upd(A,B,F,D,E). % 195.51/195.61 ---> New Demodulator: 401 [new_demod,400] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),B,F,D,E)=c_Fun_Ofun__upd(A,B,F,D,E). % 195.51/195.61 ** KEPT (pick-wt=13): 402 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))),B)=B. % 195.51/195.61 ---> New Demodulator: 403 [new_demod,402] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))),B)=B. % 195.51/195.61 ** KEPT (pick-wt=13): 404 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)))=B. % 195.51/195.61 ---> New Demodulator: 405 [new_demod,404] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)))=B. % 195.51/195.61 ** KEPT (pick-wt=25): 407 [copy,406,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Set_Oimage(C,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,A))=c_Set_Oimage(C,c_Set_Ovimage(C,B,D,A),D,A). % 195.51/195.61 ---> New Demodulator: 408 [new_demod,407] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Set_Oimage(C,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,A))=c_Set_Oimage(C,c_Set_Ovimage(C,B,D,A),D,A). % 195.51/195.61 ** KEPT (pick-wt=34): 409 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),C),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)). % 195.51/195.61 ---> New Demodulator: 410 [new_demod,409] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),C),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=7): 411 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B)). % 195.51/195.61 ** KEPT (pick-wt=10): 412 [] c_Fun_Ofun__upd(A,B,hAPP(A,B),C,D)=A. % 195.51/195.61 ---> New Demodulator: 413 [new_demod,412] c_Fun_Ofun__upd(A,B,hAPP(A,B),C,D)=A. % 195.51/195.61 ** KEPT (pick-wt=10): 414 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),B)=C. % 195.51/195.61 ---> New Demodulator: 415 [new_demod,414] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),B)=C. % 195.51/195.61 Following clause subsumed by 386 during input processing: 0 [demod,413] A=A. % 195.51/195.61 Following clause subsumed by 386 during input processing: 0 [demod,415] C=C. % 195.51/195.61 Following clause subsumed by 386 during input processing: 0 [demod,413] A=A. % 195.51/195.61 ** KEPT (pick-wt=24): 416 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C). % 195.51/195.61 ---> New Demodulator: 417 [new_demod,416] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C). % 195.51/195.61 ** KEPT (pick-wt=10): 418 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B. % 195.51/195.61 ---> New Demodulator: 419 [new_demod,418] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B. % 195.51/195.61 ** KEPT (pick-wt=34): 421 [copy,420,demod,397,flip.1] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)). % 195.51/195.61 ---> New Demodulator: 422 [new_demod,421] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=15): 423 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B. % 195.51/195.61 Following clause subsumed by 423 during input processing: 0 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B. % 195.51/195.61 ** KEPT (pick-wt=24): 424 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)|c_in(B,D,A). % 195.51/195.61 ** KEPT (pick-wt=24): 425 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)|c_in(C,B,A). % 195.51/195.61 ** KEPT (pick-wt=13): 426 [] c_in(hAPP(A,B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D),D). % 195.51/195.61 ** KEPT (pick-wt=20): 427 [] c_Set_Oimage(c_Fun_Ofun__upd(A,B,C,D,E),F,D,E)=c_Set_Oimage(A,F,D,E)|c_in(B,F,D). % 195.51/195.61 ** KEPT (pick-wt=14): 428 [] c_lesse_quals(c_Set_Oimage(A,c_Set_Ovimage(A,B,C,D),C,D),B,tc_fun(D,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=32): 429 [] c_lesse_quals(c_Set_Oimage(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B,E),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E)),tc_fun(E,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=18): 431 [copy,430,demod,397,419] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=14): 432 [] 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)). % 195.51/195.61 ---> New Demodulator: 433 [new_demod,432] 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)). % 195.51/195.61 ** KEPT (pick-wt=16): 434 [] c_in(A,c_Set_Ovimage(B,c_Set_Oinsert(hAPP(B,A),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),D,C),D). % 195.51/195.61 ** KEPT (pick-wt=13): 435 [] 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)). % 195.51/195.61 ** KEPT (pick-wt=16): 436 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 195.51/195.61 ---> New Demodulator: 437 [new_demod,436] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=16): 438 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 195.51/195.61 ---> New Demodulator: 439 [new_demod,438] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=10): 440 [] c_Finite__Set_Ofold__graph(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),B,C,D). % 195.51/195.61 ** KEPT (pick-wt=10): 441 [] c_Nitpick_Ofold__graph_H(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),B,C,D). % 195.51/195.61 ** KEPT (pick-wt=26): 442 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),c_Set_Oinsert(B,D,A))=c_Set_Oinsert(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),A). % 195.51/195.61 ---> New Demodulator: 443 [new_demod,442] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),c_Set_Oinsert(B,D,A))=c_Set_Oinsert(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),A). % 195.51/195.61 ** KEPT (pick-wt=9): 444 [] c_lesse_quals(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=13): 445 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),C,tc_fun(A,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=13): 446 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=19): 447 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),E,tc_fun(D,tc_bool))|c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(B,E,A,C,D),B,C). % 195.51/195.61 ** KEPT (pick-wt=19): 448 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),E,tc_fun(D,tc_bool))|c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(B,E,A,C,D),B,C). % 195.51/195.61 ** KEPT (pick-wt=17): 449 [] c_Set_Ovimage(c_COMBK(A,B,C),D,C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_in(A,D,B). % 195.51/195.61 ** KEPT (pick-wt=26): 450 [] c_Finite__Set_Osetsum(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),D,tc_nat)=c_Finite__Set_Osetsum(A,B,D,tc_nat)|c_in(C,B,D). % 195.51/195.61 ** KEPT (pick-wt=22): 451 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|D=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=21): 452 [] 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|c_in(A,B,C). % 195.51/195.61 ** KEPT (pick-wt=28): 453 [] 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)). % 195.51/195.61 ** KEPT (pick-wt=16): 454 [] c_Set_Oimage(c_COMBK(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)). % 195.51/195.61 ** KEPT (pick-wt=20): 455 [] 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). % 195.51/195.61 ---> New Demodulator: 456 [new_demod,455] 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). % 195.51/195.61 ** KEPT (pick-wt=27): 457 [] 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)). % 195.51/195.61 ** KEPT (pick-wt=27): 458 [] 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)). % 195.51/195.62 ** KEPT (pick-wt=23): 460 [copy,459,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))|c_in(A,C,D). % 195.51/195.62 ** KEPT (pick-wt=11): 461 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)). % 195.51/195.62 ** KEPT (pick-wt=8): 462 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C). % 195.51/195.62 ** KEPT (pick-wt=11): 463 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A. % 195.51/195.62 ---> New Demodulator: 464 [new_demod,463] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A. % 195.51/195.62 ** KEPT (pick-wt=11): 465 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)). % 195.51/195.62 ** KEPT (pick-wt=14): 466 [] 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)). % 195.51/195.62 ---> New Demodulator: 467 [new_demod,466] 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)). % 195.51/195.62 ** KEPT (pick-wt=18): 468 [] 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)). % 195.51/195.62 ---> New Demodulator: 469 [new_demod,468] 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)). % 195.51/195.62 ** KEPT (pick-wt=8): 470 [] hAPP(c_COMBK(A,B,C),D)=A. % 195.51/195.62 ---> New Demodulator: 471 [new_demod,470] hAPP(c_COMBK(A,B,C),D)=A. % 195.51/195.62 ** KEPT (pick-wt=10): 472 [] c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B). % 195.51/195.62 ** KEPT (pick-wt=6): 473 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)). % 195.51/195.62 Following clause subsumed by 473 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)). % 195.51/195.62 ** KEPT (pick-wt=7): 474 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)). % 195.51/195.62 ** KEPT (pick-wt=19): 476 [copy,475,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). % 195.51/195.62 ---> New Demodulator: 477 [new_demod,476] 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). % 195.51/195.62 Following clause subsumed by 473 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)). % 195.51/195.62 ** KEPT (pick-wt=6): 478 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A). % 195.51/195.62 ** KEPT (pick-wt=9): 479 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)). % 195.51/195.62 ** KEPT (pick-wt=12): 480 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C). % 195.51/195.62 ---> New Demodulator: 481 [new_demod,480] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C). % 195.51/195.62 ** KEPT (pick-wt=9): 482 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)). % 195.51/195.62 ** KEPT (pick-wt=7): 483 [] c_in(A,c_Set_Oinsert(A,B,C),C). % 195.51/195.62 Following clause subsumed by 483 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C). % 195.51/195.62 Following clause subsumed by 483 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C). % 195.51/195.62 ** KEPT (pick-wt=15): 484 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D). % 195.51/195.62 Following clause subsumed by 484 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). % 195.51/195.62 ** KEPT (pick-wt=13): 485 [] 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)). % 195.51/195.62 ** KEPT (pick-wt=13): 486 [] 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). % 195.51/195.62 ** KEPT (pick-wt=3): 487 [] c_Finite__Set_Ofinite(v_U,tc_Com_Opname). % 195.51/195.62 ** KEPT (pick-wt=7): 489 [copy,488,flip.1] c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)=v_G. % 195.51/195.62 ---> New Demodulator: 490 [new_demod,489] c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)=v_G. % 195.51/195.62 ** KEPT (pick-wt=4): 491 [] c_in(v_pn,v_U,tc_Com_Opname). % 195.51/195.62 ** KEPT (pick-wt=2): 492 [] class_Lattices_Olower__semilattice(tc_nat). % 195.51/195.62 ** KEPT (pick-wt=2): 493 [] class_Orderings_Opreorder(tc_nat). % 195.51/195.62 ** KEPT (pick-wt=2): 494 [] class_Orderings_Olinorder(tc_nat). % 195.51/195.62 ** KEPT (pick-wt=2): 495 [] class_Lattices_Olattice(tc_nat). % 195.51/195.62 ** KEPT (pick-wt=2): 496 [] class_Orderings_Oorder(tc_nat). % 195.51/195.62 ** KEPT (pick-wt=2): 497 [] class_Orderings_Obot(tc_nat). % 195.51/195.62 ** KEPT (pick-wt=2): 498 [] class_HOL_Oord(tc_nat). % 195.51/195.62 ** KEPT (pick-wt=2): 499 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool). % 195.51/195.62 ** KEPT (pick-wt=2): 500 [] class_Lattices_Olower__semilattice(tc_bool). % 195.51/195.62 ** KEPT (pick-wt=2): 501 [] class_Lattices_Obounded__lattice(tc_bool). % 195.51/195.62 ** KEPT (pick-wt=2): 502 [] class_Finite__Set_Ofinite_Ofinite(tc_bool). % 195.51/195.62 ** KEPT (pick-wt=2): 503 [] class_Orderings_Opreorder(tc_bool). % 195.51/195.62 ** KEPT (pick-wt=2): 504 [] class_Lattices_Olattice(tc_bool). % 195.51/195.62 ** KEPT (pick-wt=2): 505 [] class_Orderings_Oorder(tc_bool). % 195.51/195.62 ** KEPT (pick-wt=2): 506 [] class_Orderings_Otop(tc_bool). % 195.51/195.62 ** KEPT (pick-wt=2): 507 [] class_Orderings_Obot(tc_bool). % 195.51/195.62 ** KEPT (pick-wt=2): 508 [] class_HOL_Oord(tc_bool). % 195.51/195.62 ** KEPT (pick-wt=4): 509 [] c_fe_qual(A,A,B). % 195.51/195.62 Following clause subsumed by 386 during input processing: 0 [copy,386,flip.1] A=A. % 195.51/195.62 386 back subsumes 384. % 195.51/195.62 386 back subsumes 383. % 195.51/195.62 386 back subsumes 382. % 195.51/195.62 386 back subsumes 376. % 195.51/195.62 386 back subsumes 372. % 195.51/195.62 386 back subsumes 358. % 195.51/195.62 386 back subsumes 355. % 195.51/195.62 386 back subsumes 354. % 195.51/195.62 ** KEPT (pick-wt=13): 510 [copy,387,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). % 195.51/195.62 ** KEPT (pick-wt=25): 511 [copy,388,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). % 195.51/195.62 Following clause subsumed by 389 during input processing: 0 [copy,389,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B). % 195.51/195.62 ** KEPT (pick-wt=29): 512 [copy,390,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Ovimage(B,C,A,D)),c_Set_Ovimage(B,E,A,D))=c_Set_Ovimage(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,tc_bool)),C),E),A,D). % 195.51/195.62 >>>> Starting back demodulation with 394. % 195.51/195.62 Following clause subsumed by 395 during input processing: 0 [copy,395,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)). % 195.51/195.62 >>>> Starting back demodulation with 397. % 195.51/195.62 >>>> Starting back demodulation with 399. % 195.51/195.62 >>>> Starting back demodulation with 401. % 195.51/195.62 >>>> Starting back demodulation with 403. % 195.51/195.62 >>>> Starting back demodulation with 405. % 195.51/195.62 >>>> Starting back demodulation with 408. % 195.51/195.62 >>>> Starting back demodulation with 410. % 195.51/195.62 >> back demodulating 398 with 410. % 195.51/195.62 >>>> Starting back demodulation with 413. % 195.51/195.62 >>>> Starting back demodulation with 415. % 195.51/195.62 >>>> Starting back demodulation with 417. % 195.51/195.62 >>>> Starting back demodulation with 419. % 195.51/195.62 >> back demodulating 371 with 419. % 195.51/195.62 >> back demodulating 367 with 419. % 195.51/195.62 >> back demodulating 366 with 419. % 195.51/195.62 >> back demodulating 357 with 419. % 195.51/195.62 >> back demodulating 356 with 419. % 195.51/195.62 >> back demodulating 351 with 419. % 195.51/195.62 >>>> Starting back demodulation with 422. % 195.51/195.62 >> back demodulating 396 with 422. % 195.51/195.62 ** KEPT (pick-wt=18): 518 [copy,431,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)). % 195.51/195.62 >>>> Starting back demodulation with 433. % 195.51/195.62 ** KEPT (pick-wt=13): 519 [copy,435,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). % 195.51/195.62 >>>> Starting back demodulation with 437. % 195.51/195.62 >>>> Starting back demodulation with 439. % 195.51/195.62 >>>> Starting back demodulation with 443. % 195.51/195.62 Following clause subsumed by 486 during input processing: 0 [copy,454,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(c_COMBK(B,A,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A). % 195.51/195.62 >>>> Starting back demodulation with 456. % 195.51/195.62 >> back demodulating 244 with 456. % 195.51/195.62 ** KEPT (pick-wt=27): 520 [copy,457,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)). % 195.51/195.62 ** KEPT (pick-wt=27): 521 [copy,458,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)). % 195.51/195.62 >>>> Starting back demodulation with 464. % 195.51/195.62 ** KEPT (pick-wt=11): 522 [copy,465,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)). % 195.51/195.62 >>>> Starting back demodulation with 467. % 195.51/195.62 >>>> Starting back demodulation with 469. % 195.51/195.62 >>>> Starting back demodulation with 471. % 195.51/195.62 473 back subsumes 359. % 195.51/195.62 >>>> Starting back demodulation with 477. % 195.51/195.62 >> back demodulating 328 with 477. % 195.51/195.62 >>>> Starting back demodulation with 481. % 195.51/195.62 >> back demodulating 381 with 481. % 195.51/195.62 >> back demodulating 380 with 481. % 195.51/195.62 >> back demodulating 379 with 481. % 195.51/195.62 >> back demodulating 378 with 481. % 195.51/195.62 483 back subsumes 472. % 195.51/195.62 Following clause subsumed by 484 during input processing: 0 [copy,484,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D). % 195.51/195.62 Following clause subsumed by 486 during input processing: 0 [copy,485,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). % 195.51/195.62 485 back subsumes 454. % 195.51/195.62 Following clause subsumed by 485 during input processing: 0 [copy,486,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)). % 195.51/195.62 >>>> Starting back demodulation with 490. % 195.51/195.62 >> back demodulating 335 with 490. % 195.51/195.62 Following clause subsumed by 387 during input processing: 0 [copy,510,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)). % 195.51/195.62 Following clause subsumed by 388 during input processing: 0 [copy,511,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)). % 195.51/195.62 Following clause subsumed by 390 during input processing: 0 [copy,512,flip.1] c_Set_Ovimage(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),E,B)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_Set_Ovimage(A,C,E,B)),c_Set_Ovimage(A,D,E,B)). % 195.51/195.62 >>>> Starting back demodulation with 514. % 195.51/195.62 >>>> Starting back demodulation with 517. % 195.51/195.62 Following clause subsumed by 431 during input processing: 0 [copy,518,flip.1] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 195.51/195.62 Following clause subsumed by 435 during input processing: 0 [copy,519,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)). % 195.51/195.62 Following clause subsumed by 457 during input processing: 0 [copy,520,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)). % 195.51/195.62 Following clause subsumed by 458 during input processing: 0 [copy,521,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)). % 195.92/196.07 Following clause subsumed by 465 during input processing: 0 [copy,522,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)). % 195.92/196.07 % 195.92/196.07 ======= end of input processing ======= % 195.92/196.07 % 195.92/196.07 =========== start of search =========== % 195.92/196.07 % 195.92/196.07 % 195.92/196.07 Resetting weight limit to 2. % 195.92/196.07 % 195.92/196.07 % 195.92/196.07 Resetting weight limit to 2. % 195.92/196.07 % 195.92/196.07 sos_size=105 % 195.92/196.07 % 195.92/196.07 Search stopped because sos empty. % 195.92/196.07 % 195.92/196.07 % 195.92/196.07 Search stopped because sos empty. % 195.92/196.07 % 195.92/196.07 ============ end of search ============ % 195.92/196.07 % 195.92/196.07 -------------- statistics ------------- % 195.92/196.07 clauses given 106 % 195.92/196.07 clauses generated 40765 % 195.92/196.07 clauses kept 483 % 195.92/196.07 clauses forward subsumed 106 % 195.92/196.07 clauses back subsumed 15 % 195.92/196.07 Kbytes malloced 10742 % 195.92/196.07 % 195.92/196.07 ----------- times (seconds) ----------- % 195.92/196.07 user CPU time 0.53 (0 hr, 0 min, 0 sec) % 195.92/196.07 system CPU time 0.00 (0 hr, 0 min, 0 sec) % 195.92/196.07 wall-clock time 196 (0 hr, 3 min, 16 sec) % 195.92/196.07 % 195.92/196.07 Process 2705 finished Wed Jul 27 06:48:53 2022 % 195.92/196.07 Otter interrupted % 195.92/196.07 PROOF NOT FOUND %------------------------------------------------------------------------------