WORST_CASE(?, O(n^1)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Fresh_78, Fresh_79, Fresh_80, Fresh_81, Fresh_82, Fresh_83, Ar_3, Fresh_84, Ar_1, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_0 >= Ar_1 + 1 /\ Ar_1 >= 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f10(Fresh_74, Fresh_75, Fresh_76, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Fresh_76, Ar_11, Ar_12, Ar_13, Ar_14, 0, Fresh_76, 0, Fresh_76, Ar_13, Ar_20, Ar_21, Ar_22, Ar_23)) [ B1 >= Ar_13 + 1 /\ Ar_14 >= 0 /\ Fresh_74 >= 2 /\ Fresh_75 >= Fresh_74 /\ Fresh_76 >= B1 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f10(Fresh_71, Fresh_72, Fresh_73, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Fresh_73, Ar_11, Ar_12, Ar_13, Ar_14, 0, Fresh_73, 0, Fresh_73, Ar_13, Ar_20, Ar_21, Ar_22, Ar_23)) [ B1 >= Ar_13 + 1 /\ Ar_14 >= 0 /\ Fresh_71 >= 2 /\ Fresh_72 >= Fresh_71 /\ B1 >= Fresh_73 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f10(Fresh_68, Fresh_69, Fresh_70, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Fresh_70, Ar_11, Ar_12, Ar_13, Ar_14, 0, Fresh_70, 0, Fresh_70, Ar_13, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_13 >= B1 + 1 /\ Ar_14 >= 0 /\ Fresh_68 >= 2 /\ Fresh_69 >= Fresh_68 /\ Fresh_70 >= B1 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f10(Fresh_65, Fresh_66, Fresh_67, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Fresh_67, Ar_11, Ar_12, Ar_13, Ar_14, 0, Fresh_67, 0, Fresh_67, Ar_13, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_13 >= B1 + 1 /\ Ar_14 >= 0 /\ Fresh_65 >= 2 /\ Fresh_66 >= Fresh_65 /\ B1 >= Fresh_67 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f4(Fresh_55, Fresh_56, Fresh_57, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Fresh_58, Ar_9, Ar_10, Ar_11, Ar_12, Fresh_59, Ar_14, Fresh_60, Fresh_61, Fresh_62, Fresh_63, Fresh_64, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_14 >= 0 /\ Fresh_55 >= 2 /\ Fresh_56 >= Fresh_55 /\ 0 >= Fresh_57 + 1 /\ Ar_15 = Ar_13 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f4(Fresh_45, Fresh_46, Fresh_47, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Fresh_48, Ar_9, Ar_10, Ar_11, Ar_12, Fresh_49, Ar_14, Fresh_50, Fresh_51, Fresh_52, Fresh_53, Fresh_54, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_14 >= 0 /\ Fresh_45 >= 2 /\ Fresh_46 >= Fresh_45 /\ Fresh_47 >= 1 /\ Ar_15 = Ar_13 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Fresh_43, Ar_11, Ar_12, Ar_13, Ar_14, 0, Fresh_43, 0, Fresh_43, Ar_13, Ar_20 - 1, Fresh_44, Ar_20 - 1, Ar_23)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_41 >= 2 /\ Fresh_42 >= Fresh_41 /\ Fresh_43 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Fresh_39, Ar_11, Ar_12, Ar_13, Ar_14, 0, Fresh_39, 0, Fresh_39, Ar_13, Ar_20 - 1, Fresh_40, Ar_20 - 1, Ar_23)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_37 >= 2 /\ Fresh_38 >= Fresh_37 /\ C1 >= Fresh_39 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Fresh_35, Ar_11, Ar_12, Ar_13, Ar_14, 0, Fresh_35, 0, Fresh_35, Ar_13, Ar_20 - 1, Fresh_36, Ar_20 - 1, Ar_23)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_33 >= 2 /\ Fresh_34 >= Fresh_33 /\ Fresh_35 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Fresh_31, Ar_11, Ar_12, Ar_13, Ar_14, 0, Fresh_31, 0, Fresh_31, Ar_13, Ar_20 - 1, Fresh_32, Ar_20 - 1, Ar_23)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_29 >= 2 /\ Fresh_30 >= Fresh_29 /\ C1 >= Fresh_31 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Fresh_22, Ar_9, Ar_10, Ar_11, Ar_12, Fresh_23, Ar_14, Fresh_24, Fresh_25, Fresh_26, Fresh_27, Fresh_28, Ar_20, Ar_21, Ar_22, Ar_23)) [ Fresh_21 >= 2 /\ Ar_20 >= 0 /\ Ar_15 = Ar_13 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f10(Fresh_20, Ar_20 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_2, Ar_11, Ar_12, Ar_2, Ar_20, 0, Ar_2, 0, Ar_2, Ar_2, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_20 /\ Fresh_20 >= 2 /\ Ar_2 >= 1 /\ 0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_2, Ar_11, Ar_12, Ar_2, Ar_20, 0, Ar_2, 0, Ar_2, Ar_2, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_19 /\ Fresh_19 >= 2 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_2, Ar_11, Ar_12, Ar_2, Ar_20, 0, Ar_2, 0, Ar_2, Ar_2, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_18 /\ Fresh_18 >= 2 /\ 0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f10(Fresh_17, Ar_20 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_2, Ar_11, Ar_12, Ar_2, Ar_20, 0, Ar_2, 0, Ar_2, Ar_2, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_17 /\ Fresh_17 >= 2 /\ 0 >= Ar_2 + 1 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Fresh_10, Ar_9, Ar_10, Ar_11, Ar_12, Fresh_11, Ar_14, Fresh_12, Fresh_13, Fresh_14, Fresh_15, Fresh_16, Ar_20, Ar_21, Ar_22, Ar_23)) [ 0 >= Fresh_9 /\ 0 >= Ar_0 ] (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Fresh_2, Fresh_3, Fresh_4, Fresh_5, Fresh_6, Fresh_7, Fresh_0, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Fresh_8)) [ Ar_0 >= 2 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Slicing away variables that do not contribute to conditions from problem 1 leaves variables [Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20]. We thus obtain the following problem: 2: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Ar_13, Ar_14, Ar_15, Ar_20)) [ Ar_0 >= 2 ] (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Fresh_11, Ar_14, Fresh_12, Ar_20)) [ 0 >= Fresh_9 /\ 0 >= Ar_0 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_17, Ar_20 + 1, Ar_2, Ar_3, Ar_2, Ar_20, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_17 /\ Fresh_17 >= 2 /\ 0 >= Ar_2 + 1 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, Ar_20, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_18 /\ Fresh_18 >= 2 /\ 0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, Ar_20, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_19 /\ Fresh_19 >= 2 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_20, Ar_20 + 1, Ar_2, Ar_3, Ar_2, Ar_20, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_20 /\ Fresh_20 >= 2 /\ Ar_2 >= 1 /\ 0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Ar_14, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\ Ar_20 >= 0 /\ Ar_15 = Ar_13 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, Ar_14, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_29 >= 2 /\ Fresh_30 >= Fresh_29 /\ C1 >= Fresh_31 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, Ar_14, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_33 >= 2 /\ Fresh_34 >= Fresh_33 /\ Fresh_35 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, Ar_14, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_37 >= 2 /\ Fresh_38 >= Fresh_37 /\ C1 >= Fresh_39 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, Ar_14, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_41 >= 2 /\ Fresh_42 >= Fresh_41 /\ Fresh_43 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f4(Fresh_45, Fresh_46, Fresh_47, Ar_3, Fresh_49, Ar_14, Fresh_50, Ar_20)) [ Ar_14 >= 0 /\ Fresh_45 >= 2 /\ Fresh_46 >= Fresh_45 /\ Fresh_47 >= 1 /\ Ar_15 = Ar_13 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f4(Fresh_55, Fresh_56, Fresh_57, Ar_3, Fresh_59, Ar_14, Fresh_60, Ar_20)) [ Ar_14 >= 0 /\ Fresh_55 >= 2 /\ Fresh_56 >= Fresh_55 /\ 0 >= Fresh_57 + 1 /\ Ar_15 = Ar_13 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_65, Fresh_66, Fresh_67, Ar_3, Ar_13, Ar_14, 0, Ar_20)) [ Ar_13 >= B1 + 1 /\ Ar_14 >= 0 /\ Fresh_65 >= 2 /\ Fresh_66 >= Fresh_65 /\ B1 >= Fresh_67 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_68, Fresh_69, Fresh_70, Ar_3, Ar_13, Ar_14, 0, Ar_20)) [ Ar_13 >= B1 + 1 /\ Ar_14 >= 0 /\ Fresh_68 >= 2 /\ Fresh_69 >= Fresh_68 /\ Fresh_70 >= B1 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_71, Fresh_72, Fresh_73, Ar_3, Ar_13, Ar_14, 0, Ar_20)) [ B1 >= Ar_13 + 1 /\ Ar_14 >= 0 /\ Fresh_71 >= 2 /\ Fresh_72 >= Fresh_71 /\ B1 >= Fresh_73 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_74, Fresh_75, Fresh_76, Ar_3, Ar_13, Ar_14, 0, Ar_20)) [ B1 >= Ar_13 + 1 /\ Ar_14 >= 0 /\ Fresh_74 >= 2 /\ Fresh_75 >= Fresh_74 /\ Fresh_76 >= B1 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_14, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\ Ar_1 >= 0 ] start location: koat_start leaf cost: 0 Testing for reachability in the complexity graph removes the following transitions from problem 2: f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_17, Ar_20 + 1, Ar_2, Ar_3, Ar_2, Ar_20, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_17 /\ Fresh_17 >= 2 /\ 0 >= Ar_2 + 1 /\ Ar_2 >= 1 ] f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_20, Ar_20 + 1, Ar_2, Ar_3, Ar_2, Ar_20, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_20 /\ Fresh_20 >= 2 /\ Ar_2 >= 1 /\ 0 >= Ar_2 + 1 ] f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f4(Fresh_45, Fresh_46, Fresh_47, Ar_3, Fresh_49, Ar_14, Fresh_50, Ar_20)) [ Ar_14 >= 0 /\ Fresh_45 >= 2 /\ Fresh_46 >= Fresh_45 /\ Fresh_47 >= 1 /\ Ar_15 = Ar_13 ] f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f4(Fresh_55, Fresh_56, Fresh_57, Ar_3, Fresh_59, Ar_14, Fresh_60, Ar_20)) [ Ar_14 >= 0 /\ Fresh_55 >= 2 /\ Fresh_56 >= Fresh_55 /\ 0 >= Fresh_57 + 1 /\ Ar_15 = Ar_13 ] f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_65, Fresh_66, Fresh_67, Ar_3, Ar_13, Ar_14, 0, Ar_20)) [ Ar_13 >= B1 + 1 /\ Ar_14 >= 0 /\ Fresh_65 >= 2 /\ Fresh_66 >= Fresh_65 /\ B1 >= Fresh_67 + 1 /\ Ar_15 = 0 ] f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_68, Fresh_69, Fresh_70, Ar_3, Ar_13, Ar_14, 0, Ar_20)) [ Ar_13 >= B1 + 1 /\ Ar_14 >= 0 /\ Fresh_68 >= 2 /\ Fresh_69 >= Fresh_68 /\ Fresh_70 >= B1 + 1 /\ Ar_15 = 0 ] f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_71, Fresh_72, Fresh_73, Ar_3, Ar_13, Ar_14, 0, Ar_20)) [ B1 >= Ar_13 + 1 /\ Ar_14 >= 0 /\ Fresh_71 >= 2 /\ Fresh_72 >= Fresh_71 /\ B1 >= Fresh_73 + 1 /\ Ar_15 = 0 ] f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_74, Fresh_75, Fresh_76, Ar_3, Ar_13, Ar_14, 0, Ar_20)) [ B1 >= Ar_13 + 1 /\ Ar_14 >= 0 /\ Fresh_74 >= 2 /\ Fresh_75 >= Fresh_74 /\ Fresh_76 >= B1 + 1 /\ Ar_15 = 0 ] We thus obtain the following problem: 3: T: (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Ar_14, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\ Ar_20 >= 0 /\ Ar_15 = Ar_13 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, Ar_14, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_41 >= 2 /\ Fresh_42 >= Fresh_41 /\ Fresh_43 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, Ar_14, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_37 >= 2 /\ Fresh_38 >= Fresh_37 /\ C1 >= Fresh_39 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, Ar_14, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_33 >= 2 /\ Fresh_34 >= Fresh_33 /\ Fresh_35 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, Ar_14, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_29 >= 2 /\ Fresh_30 >= Fresh_29 /\ C1 >= Fresh_31 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_14, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\ Ar_1 >= 0 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, Ar_20, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_19 /\ Fresh_19 >= 2 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, Ar_20, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_18 /\ Fresh_18 >= 2 /\ 0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Fresh_11, Ar_14, Fresh_12, Ar_20)) [ 0 >= Fresh_9 /\ 0 >= Ar_0 ] (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Ar_13, Ar_14, Ar_15, Ar_20)) [ Ar_0 >= 2 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_14, Ar_15, Ar_20)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 3 produces the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= 2 ] (Comp: 1, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Fresh_11, Fresh_12, Ar_20)) [ 0 >= Fresh_9 /\ 0 >= Ar_0 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_18 /\ Fresh_18 >= 2 /\ 0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_19 /\ Fresh_19 >= 2 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\ Ar_1 >= 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_29 >= 2 /\ Fresh_30 >= Fresh_29 /\ C1 >= Fresh_31 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_33 >= 2 /\ Fresh_34 >= Fresh_33 /\ Fresh_35 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_37 >= 2 /\ Fresh_38 >= Fresh_37 /\ C1 >= Fresh_39 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_41 >= 2 /\ Fresh_42 >= Fresh_41 /\ Fresh_43 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\ Ar_20 >= 0 /\ Ar_15 = Ar_13 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 2 Pol(f3) = 2 Pol(f1) = 2 Pol(f4) = 0 Pol(f10) = 1 orients all transitions weakly and the transitions f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\ Ar_20 >= 0 /\ Ar_15 = Ar_13 ] f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_19 /\ Fresh_19 >= 2 /\ Ar_2 >= 1 ] f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_18 /\ Fresh_18 >= 2 /\ 0 >= Ar_2 + 1 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= 2 ] (Comp: 1, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Fresh_11, Fresh_12, Ar_20)) [ 0 >= Fresh_9 /\ 0 >= Ar_0 ] (Comp: 2, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_18 /\ Fresh_18 >= 2 /\ 0 >= Ar_2 + 1 ] (Comp: 2, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_19 /\ Fresh_19 >= 2 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\ Ar_1 >= 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_29 >= 2 /\ Fresh_30 >= Fresh_29 /\ C1 >= Fresh_31 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_33 >= 2 /\ Fresh_34 >= Fresh_33 /\ Fresh_35 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_37 >= 2 /\ Fresh_38 >= Fresh_37 /\ C1 >= Fresh_39 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_41 >= 2 /\ Fresh_42 >= Fresh_41 /\ Fresh_43 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: 2, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\ Ar_20 >= 0 /\ Ar_15 = Ar_13 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = V_7 + 1 Pol(f3) = V_7 + 1 Pol(f1) = V_7 + 1 Pol(f4) = V_7 Pol(f10) = V_7 + 1 orients all transitions weakly and the transitions f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_41 >= 2 /\ Fresh_42 >= Fresh_41 /\ Fresh_43 >= C1 + 1 /\ Ar_15 = 0 ] f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_33 >= 2 /\ Fresh_34 >= Fresh_33 /\ Fresh_35 >= C1 + 1 /\ Ar_15 = 0 ] f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_29 >= 2 /\ Fresh_30 >= Fresh_29 /\ C1 >= Fresh_31 + 1 /\ Ar_15 = 0 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= 2 ] (Comp: 1, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Fresh_11, Fresh_12, Ar_20)) [ 0 >= Fresh_9 /\ 0 >= Ar_0 ] (Comp: 2, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_18 /\ Fresh_18 >= 2 /\ 0 >= Ar_2 + 1 ] (Comp: 2, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_19 /\ Fresh_19 >= 2 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\ Ar_1 >= 0 ] (Comp: Ar_20 + 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_29 >= 2 /\ Fresh_30 >= Fresh_29 /\ C1 >= Fresh_31 + 1 /\ Ar_15 = 0 ] (Comp: Ar_20 + 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_33 >= 2 /\ Fresh_34 >= Fresh_33 /\ Fresh_35 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_37 >= 2 /\ Fresh_38 >= Fresh_37 /\ C1 >= Fresh_39 + 1 /\ Ar_15 = 0 ] (Comp: Ar_20 + 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_41 >= 2 /\ Fresh_42 >= Fresh_41 /\ Fresh_43 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: 2, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\ Ar_20 >= 0 /\ Ar_15 = Ar_13 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = V_7 + 1 Pol(f3) = V_7 + 1 Pol(f1) = V_7 + 1 Pol(f4) = V_7 Pol(f10) = V_7 + 1 orients all transitions weakly and the transition f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_37 >= 2 /\ Fresh_38 >= Fresh_37 /\ C1 >= Fresh_39 + 1 /\ Ar_15 = 0 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= 2 ] (Comp: 1, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Fresh_11, Fresh_12, Ar_20)) [ 0 >= Fresh_9 /\ 0 >= Ar_0 ] (Comp: 2, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_18 /\ Fresh_18 >= 2 /\ 0 >= Ar_2 + 1 ] (Comp: 2, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_19 /\ Fresh_19 >= 2 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\ Ar_1 >= 0 ] (Comp: Ar_20 + 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_29 >= 2 /\ Fresh_30 >= Fresh_29 /\ C1 >= Fresh_31 + 1 /\ Ar_15 = 0 ] (Comp: Ar_20 + 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_33 >= 2 /\ Fresh_34 >= Fresh_33 /\ Fresh_35 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: Ar_20 + 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_37 >= 2 /\ Fresh_38 >= Fresh_37 /\ C1 >= Fresh_39 + 1 /\ Ar_15 = 0 ] (Comp: Ar_20 + 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_41 >= 2 /\ Fresh_42 >= Fresh_41 /\ Fresh_43 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: 2, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\ Ar_20 >= 0 /\ Ar_15 = Ar_13 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f1) = V_1 - V_2 and size complexities S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\\ Ar_20 >= 0 /\\ Ar_15 = Ar_13 ]", 0-0) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\\ Ar_20 >= 0 /\\ Ar_15 = Ar_13 ]", 0-1) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\\ Ar_20 >= 0 /\\ Ar_15 = Ar_13 ]", 0-2) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\\ Ar_20 >= 0 /\\ Ar_15 = Ar_13 ]", 0-3) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\\ Ar_20 >= 0 /\\ Ar_15 = Ar_13 ]", 0-4) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\\ Ar_20 >= 0 /\\ Ar_15 = Ar_13 ]", 0-5) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\\ Ar_20 >= 0 /\\ Ar_15 = Ar_13 ]", 0-6) = Ar_20 + 4 S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\\ Ar_20 >= 0 /\\ Fresh_41 >= 2 /\\ Fresh_42 >= Fresh_41 /\\ Fresh_43 >= C1 + 1 /\\ Ar_15 = 0 ]", 0-0) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\\ Ar_20 >= 0 /\\ Fresh_41 >= 2 /\\ Fresh_42 >= Fresh_41 /\\ Fresh_43 >= C1 + 1 /\\ Ar_15 = 0 ]", 0-1) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\\ Ar_20 >= 0 /\\ Fresh_41 >= 2 /\\ Fresh_42 >= Fresh_41 /\\ Fresh_43 >= C1 + 1 /\\ Ar_15 = 0 ]", 0-2) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\\ Ar_20 >= 0 /\\ Fresh_41 >= 2 /\\ Fresh_42 >= Fresh_41 /\\ Fresh_43 >= C1 + 1 /\\ Ar_15 = 0 ]", 0-3) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\\ Ar_20 >= 0 /\\ Fresh_41 >= 2 /\\ Fresh_42 >= Fresh_41 /\\ Fresh_43 >= C1 + 1 /\\ Ar_15 = 0 ]", 0-4) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\\ Ar_20 >= 0 /\\ Fresh_41 >= 2 /\\ Fresh_42 >= Fresh_41 /\\ Fresh_43 >= C1 + 1 /\\ Ar_15 = 0 ]", 0-5) = 0 S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\\ Ar_20 >= 0 /\\ Fresh_41 >= 2 /\\ Fresh_42 >= Fresh_41 /\\ Fresh_43 >= C1 + 1 /\\ Ar_15 = 0 ]", 0-6) = Ar_20 + 4 S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\\ Ar_20 >= 0 /\\ Fresh_37 >= 2 /\\ Fresh_38 >= Fresh_37 /\\ C1 >= Fresh_39 + 1 /\\ Ar_15 = 0 ]", 0-0) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\\ Ar_20 >= 0 /\\ Fresh_37 >= 2 /\\ Fresh_38 >= Fresh_37 /\\ C1 >= Fresh_39 + 1 /\\ Ar_15 = 0 ]", 0-1) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\\ Ar_20 >= 0 /\\ Fresh_37 >= 2 /\\ Fresh_38 >= Fresh_37 /\\ C1 >= Fresh_39 + 1 /\\ Ar_15 = 0 ]", 0-2) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\\ Ar_20 >= 0 /\\ Fresh_37 >= 2 /\\ Fresh_38 >= Fresh_37 /\\ C1 >= Fresh_39 + 1 /\\ Ar_15 = 0 ]", 0-3) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\\ Ar_20 >= 0 /\\ Fresh_37 >= 2 /\\ Fresh_38 >= Fresh_37 /\\ C1 >= Fresh_39 + 1 /\\ Ar_15 = 0 ]", 0-4) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\\ Ar_20 >= 0 /\\ Fresh_37 >= 2 /\\ Fresh_38 >= Fresh_37 /\\ C1 >= Fresh_39 + 1 /\\ Ar_15 = 0 ]", 0-5) = 0 S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\\ Ar_20 >= 0 /\\ Fresh_37 >= 2 /\\ Fresh_38 >= Fresh_37 /\\ C1 >= Fresh_39 + 1 /\\ Ar_15 = 0 ]", 0-6) = Ar_20 + 4 S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\\ Ar_20 >= 0 /\\ Fresh_33 >= 2 /\\ Fresh_34 >= Fresh_33 /\\ Fresh_35 >= C1 + 1 /\\ Ar_15 = 0 ]", 0-0) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\\ Ar_20 >= 0 /\\ Fresh_33 >= 2 /\\ Fresh_34 >= Fresh_33 /\\ Fresh_35 >= C1 + 1 /\\ Ar_15 = 0 ]", 0-1) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\\ Ar_20 >= 0 /\\ Fresh_33 >= 2 /\\ Fresh_34 >= Fresh_33 /\\ Fresh_35 >= C1 + 1 /\\ Ar_15 = 0 ]", 0-2) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\\ Ar_20 >= 0 /\\ Fresh_33 >= 2 /\\ Fresh_34 >= Fresh_33 /\\ Fresh_35 >= C1 + 1 /\\ Ar_15 = 0 ]", 0-3) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\\ Ar_20 >= 0 /\\ Fresh_33 >= 2 /\\ Fresh_34 >= Fresh_33 /\\ Fresh_35 >= C1 + 1 /\\ Ar_15 = 0 ]", 0-4) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\\ Ar_20 >= 0 /\\ Fresh_33 >= 2 /\\ Fresh_34 >= Fresh_33 /\\ Fresh_35 >= C1 + 1 /\\ Ar_15 = 0 ]", 0-5) = 0 S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\\ Ar_20 >= 0 /\\ Fresh_33 >= 2 /\\ Fresh_34 >= Fresh_33 /\\ Fresh_35 >= C1 + 1 /\\ Ar_15 = 0 ]", 0-6) = Ar_20 + 4 S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\\ Ar_20 >= 0 /\\ Fresh_29 >= 2 /\\ Fresh_30 >= Fresh_29 /\\ C1 >= Fresh_31 + 1 /\\ Ar_15 = 0 ]", 0-0) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\\ Ar_20 >= 0 /\\ Fresh_29 >= 2 /\\ Fresh_30 >= Fresh_29 /\\ C1 >= Fresh_31 + 1 /\\ Ar_15 = 0 ]", 0-1) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\\ Ar_20 >= 0 /\\ Fresh_29 >= 2 /\\ Fresh_30 >= Fresh_29 /\\ C1 >= Fresh_31 + 1 /\\ Ar_15 = 0 ]", 0-2) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\\ Ar_20 >= 0 /\\ Fresh_29 >= 2 /\\ Fresh_30 >= Fresh_29 /\\ C1 >= Fresh_31 + 1 /\\ Ar_15 = 0 ]", 0-3) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\\ Ar_20 >= 0 /\\ Fresh_29 >= 2 /\\ Fresh_30 >= Fresh_29 /\\ C1 >= Fresh_31 + 1 /\\ Ar_15 = 0 ]", 0-4) = ? S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\\ Ar_20 >= 0 /\\ Fresh_29 >= 2 /\\ Fresh_30 >= Fresh_29 /\\ C1 >= Fresh_31 + 1 /\\ Ar_15 = 0 ]", 0-5) = 0 S("f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\\ Ar_20 >= 0 /\\ Fresh_29 >= 2 /\\ Fresh_30 >= Fresh_29 /\\ C1 >= Fresh_31 + 1 /\\ Ar_15 = 0 ]", 0-6) = Ar_20 + 4 S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\\ Ar_1 >= 0 ]", 0-0) = Ar_0 S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\\ Ar_1 >= 0 ]", 0-1) = Ar_0 S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\\ Ar_1 >= 0 ]", 0-2) = ? S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\\ Ar_1 >= 0 ]", 0-3) = ? S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\\ Ar_1 >= 0 ]", 0-4) = Ar_13 S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\\ Ar_1 >= 0 ]", 0-5) = Ar_15 S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\\ Ar_1 >= 0 ]", 0-6) = Ar_20 S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\\ Ar_1 >= 0 /\\ Z >= Fresh_19 /\\ Fresh_19 >= 2 /\\ Ar_2 >= 1 ]", 0-0) = ? S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\\ Ar_1 >= 0 /\\ Z >= Fresh_19 /\\ Fresh_19 >= 2 /\\ Ar_2 >= 1 ]", 0-1) = Ar_20 + 1 S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\\ Ar_1 >= 0 /\\ Z >= Fresh_19 /\\ Fresh_19 >= 2 /\\ Ar_2 >= 1 ]", 0-2) = ? S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\\ Ar_1 >= 0 /\\ Z >= Fresh_19 /\\ Fresh_19 >= 2 /\\ Ar_2 >= 1 ]", 0-3) = ? S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\\ Ar_1 >= 0 /\\ Z >= Fresh_19 /\\ Fresh_19 >= 2 /\\ Ar_2 >= 1 ]", 0-4) = ? S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\\ Ar_1 >= 0 /\\ Z >= Fresh_19 /\\ Fresh_19 >= 2 /\\ Ar_2 >= 1 ]", 0-5) = 0 S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\\ Ar_1 >= 0 /\\ Z >= Fresh_19 /\\ Fresh_19 >= 2 /\\ Ar_2 >= 1 ]", 0-6) = Ar_20 S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\\ Ar_1 >= 0 /\\ Z >= Fresh_18 /\\ Fresh_18 >= 2 /\\ 0 >= Ar_2 + 1 ]", 0-0) = ? S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\\ Ar_1 >= 0 /\\ Z >= Fresh_18 /\\ Fresh_18 >= 2 /\\ 0 >= Ar_2 + 1 ]", 0-1) = Ar_20 + 1 S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\\ Ar_1 >= 0 /\\ Z >= Fresh_18 /\\ Fresh_18 >= 2 /\\ 0 >= Ar_2 + 1 ]", 0-2) = ? S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\\ Ar_1 >= 0 /\\ Z >= Fresh_18 /\\ Fresh_18 >= 2 /\\ 0 >= Ar_2 + 1 ]", 0-3) = ? S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\\ Ar_1 >= 0 /\\ Z >= Fresh_18 /\\ Fresh_18 >= 2 /\\ 0 >= Ar_2 + 1 ]", 0-4) = ? S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\\ Ar_1 >= 0 /\\ Z >= Fresh_18 /\\ Fresh_18 >= 2 /\\ 0 >= Ar_2 + 1 ]", 0-5) = 0 S("f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\\ Ar_1 >= 0 /\\ Z >= Fresh_18 /\\ Fresh_18 >= 2 /\\ 0 >= Ar_2 + 1 ]", 0-6) = Ar_20 S("f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Fresh_11, Fresh_12, Ar_20)) [ 0 >= Fresh_9 /\\ 0 >= Ar_0 ]", 0-0) = ? S("f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Fresh_11, Fresh_12, Ar_20)) [ 0 >= Fresh_9 /\\ 0 >= Ar_0 ]", 0-1) = 0 S("f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Fresh_11, Fresh_12, Ar_20)) [ 0 >= Fresh_9 /\\ 0 >= Ar_0 ]", 0-2) = 0 S("f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Fresh_11, Fresh_12, Ar_20)) [ 0 >= Fresh_9 /\\ 0 >= Ar_0 ]", 0-3) = Ar_3 S("f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Fresh_11, Fresh_12, Ar_20)) [ 0 >= Fresh_9 /\\ 0 >= Ar_0 ]", 0-4) = ? S("f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Fresh_11, Fresh_12, Ar_20)) [ 0 >= Fresh_9 /\\ 0 >= Ar_0 ]", 0-5) = ? S("f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Fresh_11, Fresh_12, Ar_20)) [ 0 >= Fresh_9 /\\ 0 >= Ar_0 ]", 0-6) = Ar_20 S("f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= 2 ]", 0-0) = Ar_0 S("f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= 2 ]", 0-1) = 2 S("f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= 2 ]", 0-2) = ? S("f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= 2 ]", 0-3) = ? S("f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= 2 ]", 0-4) = Ar_13 S("f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= 2 ]", 0-5) = Ar_15 S("f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= 2 ]", 0-6) = Ar_20 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20)) [ 0 <= 0 ]", 0-4) = Ar_13 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20)) [ 0 <= 0 ]", 0-5) = Ar_15 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20)) [ 0 <= 0 ]", 0-6) = Ar_20 orients the transitions f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\ Ar_1 >= 0 ] weakly and the transition f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\ Ar_1 >= 0 ] strictly and produces the following problem: 8: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, 2, Fresh_0, Fresh_1, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= 2 ] (Comp: 1, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_9, 0, 0, Ar_3, Fresh_11, Fresh_12, Ar_20)) [ 0 >= Fresh_9 /\ 0 >= Ar_0 ] (Comp: 2, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_18, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_18 /\ Fresh_18 >= 2 /\ 0 >= Ar_2 + 1 ] (Comp: 2, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_19, Ar_20 + 1, Ar_2, Ar_3, Ar_2, 0, Ar_20)) [ Ar_1 >= Ar_0 /\ Ar_1 >= 0 /\ Z >= Fresh_19 /\ Fresh_19 >= 2 /\ Ar_2 >= 1 ] (Comp: Ar_0 + 2, Cost: 1) f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f1(Ar_0, Ar_1 + 1, Ar_3, Fresh_77, Ar_13, Ar_15, Ar_20)) [ Ar_0 >= Ar_1 + 1 /\ Ar_1 >= 0 ] (Comp: Ar_20 + 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_29, Fresh_30, Fresh_31, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_29 >= 2 /\ Fresh_30 >= Fresh_29 /\ C1 >= Fresh_31 + 1 /\ Ar_15 = 0 ] (Comp: Ar_20 + 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_33, Fresh_34, Fresh_35, Ar_3, Ar_13, 0, Ar_20 - 1)) [ Ar_13 >= C1 + 1 /\ Ar_20 >= 0 /\ Fresh_33 >= 2 /\ Fresh_34 >= Fresh_33 /\ Fresh_35 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: Ar_20 + 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_37, Fresh_38, Fresh_39, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_37 >= 2 /\ Fresh_38 >= Fresh_37 /\ C1 >= Fresh_39 + 1 /\ Ar_15 = 0 ] (Comp: Ar_20 + 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f10(Fresh_41, Fresh_42, Fresh_43, Ar_3, Ar_13, 0, Ar_20 - 1)) [ C1 >= Ar_13 + 1 /\ Ar_20 >= 0 /\ Fresh_41 >= 2 /\ Fresh_42 >= Fresh_41 /\ Fresh_43 >= C1 + 1 /\ Ar_15 = 0 ] (Comp: 2, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_13, Ar_15, Ar_20) -> Com_1(f4(Fresh_21, Ar_1, Ar_2, Ar_3, Fresh_23, Fresh_24, Ar_20)) [ Fresh_21 >= 2 /\ Ar_20 >= 0 /\ Ar_15 = Ar_13 ] start location: koat_start leaf cost: 0 Complexity upper bound Ar_0 + 4*Ar_20 + 14 Time: 5.477 sec (SMT: 5.304 sec)