WORST_CASE(Omega(1),?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: l15 0: l0 -> l1 : oldX0^0'=oldX0^post_1, oldX1^0'=oldX1^post_1, oldX2^0'=oldX2^post_1, oldX3^0'=oldX3^post_1, oldX4^0'=oldX4^post_1, oldX5^0'=oldX5^post_1, oldX6^0'=oldX6^post_1, x0^0'=x0^post_1, x1^0'=x1^post_1, x2^0'=x2^post_1, [ oldX0^post_1==x0^0 && oldX1^post_1==x1^0 && oldX2^post_1==x2^0 && oldX3^post_1==oldX3^post_1 && oldX4^post_1==oldX4^post_1 && oldX5^post_1==oldX5^post_1 && x0^post_1==oldX3^post_1 && x1^post_1==oldX4^post_1 && x2^post_1==oldX5^post_1 && oldX6^0==oldX6^post_1 ], cost: 1 1: l2 -> l3 : oldX0^0'=oldX0^post_2, oldX1^0'=oldX1^post_2, oldX2^0'=oldX2^post_2, oldX3^0'=oldX3^post_2, oldX4^0'=oldX4^post_2, oldX5^0'=oldX5^post_2, oldX6^0'=oldX6^post_2, x0^0'=x0^post_2, x1^0'=x1^post_2, x2^0'=x2^post_2, [ oldX0^post_2==x0^0 && oldX1^post_2==x1^0 && oldX2^post_2==x2^0 && oldX3^post_2==oldX3^post_2 && x0^post_2==oldX0^post_2 && x1^post_2==oldX1^post_2 && x2^post_2==oldX3^post_2 && oldX4^0==oldX4^post_2 && oldX5^0==oldX5^post_2 && oldX6^0==oldX6^post_2 ], cost: 1 22: l3 -> l10 : oldX0^0'=oldX0^post_23, oldX1^0'=oldX1^post_23, oldX2^0'=oldX2^post_23, oldX3^0'=oldX3^post_23, oldX4^0'=oldX4^post_23, oldX5^0'=oldX5^post_23, oldX6^0'=oldX6^post_23, x0^0'=x0^post_23, x1^0'=x1^post_23, x2^0'=x2^post_23, [ oldX0^post_23==x0^0 && oldX1^post_23==x1^0 && oldX2^post_23==x2^0 && 3<=oldX0^post_23 && x0^post_23==oldX0^post_23 && x1^post_23==oldX1^post_23 && x2^post_23==oldX1^post_23 && oldX3^0==oldX3^post_23 && oldX4^0==oldX4^post_23 && oldX5^0==oldX5^post_23 && oldX6^0==oldX6^post_23 ], cost: 1 23: l3 -> l10 : oldX0^0'=oldX0^post_24, oldX1^0'=oldX1^post_24, oldX2^0'=oldX2^post_24, oldX3^0'=oldX3^post_24, oldX4^0'=oldX4^post_24, oldX5^0'=oldX5^post_24, oldX6^0'=oldX6^post_24, x0^0'=x0^post_24, x1^0'=x1^post_24, x2^0'=x2^post_24, [ oldX0^post_24==x0^0 && oldX1^post_24==x1^0 && oldX2^post_24==x2^0 && 1+oldX0^post_24<=2 && x0^post_24==oldX0^post_24 && x1^post_24==oldX1^post_24 && x2^post_24==oldX1^post_24 && oldX3^0==oldX3^post_24 && oldX4^0==oldX4^post_24 && oldX5^0==oldX5^post_24 && oldX6^0==oldX6^post_24 ], cost: 1 24: l3 -> l13 : oldX0^0'=oldX0^post_25, oldX1^0'=oldX1^post_25, oldX2^0'=oldX2^post_25, oldX3^0'=oldX3^post_25, oldX4^0'=oldX4^post_25, oldX5^0'=oldX5^post_25, oldX6^0'=oldX6^post_25, x0^0'=x0^post_25, x1^0'=x1^post_25, x2^0'=x2^post_25, [ oldX0^post_25==x0^0 && oldX1^post_25==x1^0 && oldX2^post_25==x2^0 && oldX3^post_25==oldX3^post_25 && oldX0^post_25<=2 && 2<=oldX0^post_25 && x0^post_25==oldX0^post_25 && x1^post_25==oldX1^post_25 && x2^post_25==oldX3^post_25 && oldX4^0==oldX4^post_25 && oldX5^0==oldX5^post_25 && oldX6^0==oldX6^post_25 ], cost: 1 2: l4 -> l1 : oldX0^0'=oldX0^post_3, oldX1^0'=oldX1^post_3, oldX2^0'=oldX2^post_3, oldX3^0'=oldX3^post_3, oldX4^0'=oldX4^post_3, oldX5^0'=oldX5^post_3, oldX6^0'=oldX6^post_3, x0^0'=x0^post_3, x1^0'=x1^post_3, x2^0'=x2^post_3, [ oldX0^post_3==x0^0 && oldX1^post_3==x1^0 && oldX2^post_3==x2^0 && oldX3^post_3==oldX3^post_3 && oldX4^post_3==oldX4^post_3 && oldX5^post_3==oldX5^post_3 && x0^post_3==oldX3^post_3 && x1^post_3==oldX4^post_3 && x2^post_3==oldX5^post_3 && oldX6^0==oldX6^post_3 ], cost: 1 3: l5 -> l2 : oldX0^0'=oldX0^post_4, oldX1^0'=oldX1^post_4, oldX2^0'=oldX2^post_4, oldX3^0'=oldX3^post_4, oldX4^0'=oldX4^post_4, oldX5^0'=oldX5^post_4, oldX6^0'=oldX6^post_4, x0^0'=x0^post_4, x1^0'=x1^post_4, x2^0'=x2^post_4, [ oldX0^post_4==x0^0 && oldX1^post_4==x1^0 && oldX2^post_4==x2^0 && oldX3^post_4==oldX3^post_4 && 2<=oldX1^post_4 && x0^post_4==oldX0^post_4 && x1^post_4==oldX1^post_4 && x2^post_4==oldX3^post_4 && oldX4^0==oldX4^post_4 && oldX5^0==oldX5^post_4 && oldX6^0==oldX6^post_4 ], cost: 1 4: l5 -> l2 : oldX0^0'=oldX0^post_5, oldX1^0'=oldX1^post_5, oldX2^0'=oldX2^post_5, oldX3^0'=oldX3^post_5, oldX4^0'=oldX4^post_5, oldX5^0'=oldX5^post_5, oldX6^0'=oldX6^post_5, x0^0'=x0^post_5, x1^0'=x1^post_5, x2^0'=x2^post_5, [ oldX0^post_5==x0^0 && oldX1^post_5==x1^0 && oldX2^post_5==x2^0 && oldX3^post_5==oldX3^post_5 && 1+oldX1^post_5<=1 && x0^post_5==oldX0^post_5 && x1^post_5==oldX1^post_5 && x2^post_5==oldX3^post_5 && oldX4^0==oldX4^post_5 && oldX5^0==oldX5^post_5 && oldX6^0==oldX6^post_5 ], cost: 1 5: l5 -> l0 : oldX0^0'=oldX0^post_6, oldX1^0'=oldX1^post_6, oldX2^0'=oldX2^post_6, oldX3^0'=oldX3^post_6, oldX4^0'=oldX4^post_6, oldX5^0'=oldX5^post_6, oldX6^0'=oldX6^post_6, x0^0'=x0^post_6, x1^0'=x1^post_6, x2^0'=x2^post_6, [ oldX0^post_6==x0^0 && oldX1^post_6==x1^0 && oldX2^post_6==x2^0 && oldX3^post_6==oldX3^post_6 && oldX1^post_6<=1 && 1<=oldX1^post_6 && x0^post_6==oldX0^post_6 && x1^post_6==oldX1^post_6 && x2^post_6==oldX3^post_6 && oldX4^0==oldX4^post_6 && oldX5^0==oldX5^post_6 && oldX6^0==oldX6^post_6 ], cost: 1 6: l6 -> l2 : oldX0^0'=oldX0^post_7, oldX1^0'=oldX1^post_7, oldX2^0'=oldX2^post_7, oldX3^0'=oldX3^post_7, oldX4^0'=oldX4^post_7, oldX5^0'=oldX5^post_7, oldX6^0'=oldX6^post_7, x0^0'=x0^post_7, x1^0'=x1^post_7, x2^0'=x2^post_7, [ oldX0^post_7==x0^0 && oldX1^post_7==x1^0 && oldX2^post_7==x2^0 && oldX3^post_7==oldX3^post_7 && 1<=oldX1^post_7 && x0^post_7==oldX0^post_7 && x1^post_7==oldX1^post_7 && x2^post_7==oldX3^post_7 && oldX4^0==oldX4^post_7 && oldX5^0==oldX5^post_7 && oldX6^0==oldX6^post_7 ], cost: 1 7: l6 -> l2 : oldX0^0'=oldX0^post_8, oldX1^0'=oldX1^post_8, oldX2^0'=oldX2^post_8, oldX3^0'=oldX3^post_8, oldX4^0'=oldX4^post_8, oldX5^0'=oldX5^post_8, oldX6^0'=oldX6^post_8, x0^0'=x0^post_8, x1^0'=x1^post_8, x2^0'=x2^post_8, [ oldX0^post_8==x0^0 && oldX1^post_8==x1^0 && oldX2^post_8==x2^0 && oldX3^post_8==oldX3^post_8 && 1+oldX1^post_8<=0 && x0^post_8==oldX0^post_8 && x1^post_8==oldX1^post_8 && x2^post_8==oldX3^post_8 && oldX4^0==oldX4^post_8 && oldX5^0==oldX5^post_8 && oldX6^0==oldX6^post_8 ], cost: 1 8: l6 -> l4 : oldX0^0'=oldX0^post_9, oldX1^0'=oldX1^post_9, oldX2^0'=oldX2^post_9, oldX3^0'=oldX3^post_9, oldX4^0'=oldX4^post_9, oldX5^0'=oldX5^post_9, oldX6^0'=oldX6^post_9, x0^0'=x0^post_9, x1^0'=x1^post_9, x2^0'=x2^post_9, [ oldX0^post_9==x0^0 && oldX1^post_9==x1^0 && oldX2^post_9==x2^0 && oldX3^post_9==oldX3^post_9 && oldX1^post_9<=0 && 0<=oldX1^post_9 && x0^post_9==oldX0^post_9 && x1^post_9==oldX1^post_9 && x2^post_9==oldX3^post_9 && oldX4^0==oldX4^post_9 && oldX5^0==oldX5^post_9 && oldX6^0==oldX6^post_9 ], cost: 1 9: l7 -> l5 : oldX0^0'=oldX0^post_10, oldX1^0'=oldX1^post_10, oldX2^0'=oldX2^post_10, oldX3^0'=oldX3^post_10, oldX4^0'=oldX4^post_10, oldX5^0'=oldX5^post_10, oldX6^0'=oldX6^post_10, x0^0'=x0^post_10, x1^0'=x1^post_10, x2^0'=x2^post_10, [ oldX0^post_10==x0^0 && oldX1^post_10==x1^0 && oldX2^post_10==x2^0 && oldX3^post_10==oldX3^post_10 && 1<=oldX1^post_10 && x0^post_10==oldX0^post_10 && x1^post_10==oldX1^post_10 && x2^post_10==oldX3^post_10 && oldX4^0==oldX4^post_10 && oldX5^0==oldX5^post_10 && oldX6^0==oldX6^post_10 ], cost: 1 10: l7 -> l6 : oldX0^0'=oldX0^post_11, oldX1^0'=oldX1^post_11, oldX2^0'=oldX2^post_11, oldX3^0'=oldX3^post_11, oldX4^0'=oldX4^post_11, oldX5^0'=oldX5^post_11, oldX6^0'=oldX6^post_11, x0^0'=x0^post_11, x1^0'=x1^post_11, x2^0'=x2^post_11, [ oldX0^post_11==x0^0 && oldX1^post_11==x1^0 && oldX2^post_11==x2^0 && oldX3^post_11==oldX3^post_11 && 1+oldX1^post_11<=1 && x0^post_11==oldX0^post_11 && x1^post_11==oldX1^post_11 && x2^post_11==oldX3^post_11 && oldX4^0==oldX4^post_11 && oldX5^0==oldX5^post_11 && oldX6^0==oldX6^post_11 ], cost: 1 11: l8 -> l7 : oldX0^0'=oldX0^post_12, oldX1^0'=oldX1^post_12, oldX2^0'=oldX2^post_12, oldX3^0'=oldX3^post_12, oldX4^0'=oldX4^post_12, oldX5^0'=oldX5^post_12, oldX6^0'=oldX6^post_12, x0^0'=x0^post_12, x1^0'=x1^post_12, x2^0'=x2^post_12, [ oldX0^post_12==x0^0 && oldX1^post_12==x1^0 && oldX2^post_12==x2^0 && oldX3^post_12==oldX3^post_12 && x0^post_12==oldX0^post_12 && x1^post_12==oldX1^post_12 && x2^post_12==oldX3^post_12 && oldX4^0==oldX4^post_12 && oldX5^0==oldX5^post_12 && oldX6^0==oldX6^post_12 ], cost: 1 12: l9 -> l1 : oldX0^0'=oldX0^post_13, oldX1^0'=oldX1^post_13, oldX2^0'=oldX2^post_13, oldX3^0'=oldX3^post_13, oldX4^0'=oldX4^post_13, oldX5^0'=oldX5^post_13, oldX6^0'=oldX6^post_13, x0^0'=x0^post_13, x1^0'=x1^post_13, x2^0'=x2^post_13, [ oldX0^post_13==x0^0 && oldX1^post_13==x1^0 && oldX2^post_13==x2^0 && oldX3^post_13==oldX3^post_13 && oldX4^post_13==oldX4^post_13 && oldX5^post_13==oldX5^post_13 && oldX6^post_13==oldX6^post_13 && 2<=-2*oldX6^post_13+oldX2^post_13 && x0^post_13==oldX3^post_13 && x1^post_13==oldX4^post_13 && x2^post_13==oldX5^post_13 ], cost: 1 13: l9 -> l1 : oldX0^0'=oldX0^post_14, oldX1^0'=oldX1^post_14, oldX2^0'=oldX2^post_14, oldX3^0'=oldX3^post_14, oldX4^0'=oldX4^post_14, oldX5^0'=oldX5^post_14, oldX6^0'=oldX6^post_14, x0^0'=x0^post_14, x1^0'=x1^post_14, x2^0'=x2^post_14, [ oldX0^post_14==x0^0 && oldX1^post_14==x1^0 && oldX2^post_14==x2^0 && oldX3^post_14==oldX3^post_14 && oldX4^post_14==oldX4^post_14 && oldX5^post_14==oldX5^post_14 && oldX6^post_14==oldX6^post_14 && 1-2*oldX6^post_14+oldX2^post_14<=0 && x0^post_14==oldX3^post_14 && x1^post_14==oldX4^post_14 && x2^post_14==oldX5^post_14 ], cost: 1 14: l9 -> l10 : oldX0^0'=oldX0^post_15, oldX1^0'=oldX1^post_15, oldX2^0'=oldX2^post_15, oldX3^0'=oldX3^post_15, oldX4^0'=oldX4^post_15, oldX5^0'=oldX5^post_15, oldX6^0'=oldX6^post_15, x0^0'=x0^post_15, x1^0'=x1^post_15, x2^0'=x2^post_15, [ oldX0^post_15==x0^0 && oldX1^post_15==x1^0 && oldX2^post_15==x2^0 && oldX3^post_15==oldX3^post_15 && 0<=oldX2^post_15-2*oldX3^post_15 && 1+oldX2^post_15-2*oldX3^post_15<=2 && x0^post_15==oldX0^post_15 && x1^post_15==oldX1^post_15 && x2^post_15==oldX3^post_15 && oldX4^0==oldX4^post_15 && oldX5^0==oldX5^post_15 && oldX6^0==oldX6^post_15 ], cost: 1 19: l10 -> l4 : oldX0^0'=oldX0^post_20, oldX1^0'=oldX1^post_20, oldX2^0'=oldX2^post_20, oldX3^0'=oldX3^post_20, oldX4^0'=oldX4^post_20, oldX5^0'=oldX5^post_20, oldX6^0'=oldX6^post_20, x0^0'=x0^post_20, x1^0'=x1^post_20, x2^0'=x2^post_20, [ oldX0^post_20==x0^0 && oldX1^post_20==x1^0 && oldX2^post_20==x2^0 && oldX3^post_20==oldX3^post_20 && oldX2^post_20<=0 && x0^post_20==oldX0^post_20 && x1^post_20==oldX1^post_20 && x2^post_20==oldX3^post_20 && oldX4^0==oldX4^post_20 && oldX5^0==oldX5^post_20 && oldX6^0==oldX6^post_20 ], cost: 1 20: l10 -> l12 : oldX0^0'=oldX0^post_21, oldX1^0'=oldX1^post_21, oldX2^0'=oldX2^post_21, oldX3^0'=oldX3^post_21, oldX4^0'=oldX4^post_21, oldX5^0'=oldX5^post_21, oldX6^0'=oldX6^post_21, x0^0'=x0^post_21, x1^0'=x1^post_21, x2^0'=x2^post_21, [ oldX0^post_21==x0^0 && oldX1^post_21==x1^0 && oldX2^post_21==x2^0 && 1<=oldX2^post_21 && x0^post_21==oldX0^post_21 && x1^post_21==oldX1^post_21 && x2^post_21==oldX2^post_21 && oldX3^0==oldX3^post_21 && oldX4^0==oldX4^post_21 && oldX5^0==oldX5^post_21 && oldX6^0==oldX6^post_21 ], cost: 1 15: l11 -> l9 : oldX0^0'=oldX0^post_16, oldX1^0'=oldX1^post_16, oldX2^0'=oldX2^post_16, oldX3^0'=oldX3^post_16, oldX4^0'=oldX4^post_16, oldX5^0'=oldX5^post_16, oldX6^0'=oldX6^post_16, x0^0'=x0^post_16, x1^0'=x1^post_16, x2^0'=x2^post_16, [ oldX0^post_16==x0^0 && oldX1^post_16==x1^0 && oldX2^post_16==x2^0 && x0^post_16==oldX0^post_16 && x1^post_16==oldX1^post_16 && x2^post_16==oldX2^post_16 && oldX3^0==oldX3^post_16 && oldX4^0==oldX4^post_16 && oldX5^0==oldX5^post_16 && oldX6^0==oldX6^post_16 ], cost: 1 16: l12 -> l9 : oldX0^0'=oldX0^post_17, oldX1^0'=oldX1^post_17, oldX2^0'=oldX2^post_17, oldX3^0'=oldX3^post_17, oldX4^0'=oldX4^post_17, oldX5^0'=oldX5^post_17, oldX6^0'=oldX6^post_17, x0^0'=x0^post_17, x1^0'=x1^post_17, x2^0'=x2^post_17, [ oldX0^post_17==x0^0 && oldX1^post_17==x1^0 && oldX2^post_17==x2^0 && oldX3^post_17==oldX3^post_17 && 2<=oldX3^post_17 && x0^post_17==oldX0^post_17 && x1^post_17==oldX1^post_17 && x2^post_17==oldX2^post_17 && oldX4^0==oldX4^post_17 && oldX5^0==oldX5^post_17 && oldX6^0==oldX6^post_17 ], cost: 1 17: l12 -> l9 : oldX0^0'=oldX0^post_18, oldX1^0'=oldX1^post_18, oldX2^0'=oldX2^post_18, oldX3^0'=oldX3^post_18, oldX4^0'=oldX4^post_18, oldX5^0'=oldX5^post_18, oldX6^0'=oldX6^post_18, x0^0'=x0^post_18, x1^0'=x1^post_18, x2^0'=x2^post_18, [ oldX0^post_18==x0^0 && oldX1^post_18==x1^0 && oldX2^post_18==x2^0 && oldX3^post_18==oldX3^post_18 && 1+oldX3^post_18<=1 && x0^post_18==oldX0^post_18 && x1^post_18==oldX1^post_18 && x2^post_18==oldX2^post_18 && oldX4^0==oldX4^post_18 && oldX5^0==oldX5^post_18 && oldX6^0==oldX6^post_18 ], cost: 1 18: l12 -> l11 : oldX0^0'=oldX0^post_19, oldX1^0'=oldX1^post_19, oldX2^0'=oldX2^post_19, oldX3^0'=oldX3^post_19, oldX4^0'=oldX4^post_19, oldX5^0'=oldX5^post_19, oldX6^0'=oldX6^post_19, x0^0'=x0^post_19, x1^0'=x1^post_19, x2^0'=x2^post_19, [ oldX0^post_19==x0^0 && oldX1^post_19==x1^0 && oldX2^post_19==x2^0 && oldX3^post_19==oldX3^post_19 && oldX3^post_19<=1 && 1<=oldX3^post_19 && x0^post_19==oldX0^post_19 && x1^post_19==oldX1^post_19 && x2^post_19==oldX2^post_19 && oldX4^0==oldX4^post_19 && oldX5^0==oldX5^post_19 && oldX6^0==oldX6^post_19 ], cost: 1 21: l13 -> l1 : oldX0^0'=oldX0^post_22, oldX1^0'=oldX1^post_22, oldX2^0'=oldX2^post_22, oldX3^0'=oldX3^post_22, oldX4^0'=oldX4^post_22, oldX5^0'=oldX5^post_22, oldX6^0'=oldX6^post_22, x0^0'=x0^post_22, x1^0'=x1^post_22, x2^0'=x2^post_22, [ oldX0^post_22==x0^0 && oldX1^post_22==x1^0 && oldX2^post_22==x2^0 && oldX3^post_22==oldX3^post_22 && oldX4^post_22==oldX4^post_22 && oldX5^post_22==oldX5^post_22 && x0^post_22==oldX3^post_22 && x1^post_22==oldX4^post_22 && x2^post_22==oldX5^post_22 && oldX6^0==oldX6^post_22 ], cost: 1 25: l14 -> l8 : oldX0^0'=oldX0^post_26, oldX1^0'=oldX1^post_26, oldX2^0'=oldX2^post_26, oldX3^0'=oldX3^post_26, oldX4^0'=oldX4^post_26, oldX5^0'=oldX5^post_26, oldX6^0'=oldX6^post_26, x0^0'=x0^post_26, x1^0'=x1^post_26, x2^0'=x2^post_26, [ oldX0^post_26==x0^0 && oldX1^post_26==x1^0 && oldX2^post_26==x2^0 && oldX3^post_26==oldX3^post_26 && x0^post_26==oldX0^post_26 && x1^post_26==oldX1^post_26 && x2^post_26==oldX3^post_26 && oldX4^0==oldX4^post_26 && oldX5^0==oldX5^post_26 && oldX6^0==oldX6^post_26 ], cost: 1 26: l14 -> l1 : oldX0^0'=oldX0^post_27, oldX1^0'=oldX1^post_27, oldX2^0'=oldX2^post_27, oldX3^0'=oldX3^post_27, oldX4^0'=oldX4^post_27, oldX5^0'=oldX5^post_27, oldX6^0'=oldX6^post_27, x0^0'=x0^post_27, x1^0'=x1^post_27, x2^0'=x2^post_27, [ oldX0^0==oldX0^post_27 && oldX1^0==oldX1^post_27 && oldX2^0==oldX2^post_27 && oldX3^0==oldX3^post_27 && oldX4^0==oldX4^post_27 && oldX5^0==oldX5^post_27 && oldX6^0==oldX6^post_27 && x0^0==x0^post_27 && x1^0==x1^post_27 && x2^0==x2^post_27 ], cost: 1 27: l14 -> l0 : oldX0^0'=oldX0^post_28, oldX1^0'=oldX1^post_28, oldX2^0'=oldX2^post_28, oldX3^0'=oldX3^post_28, oldX4^0'=oldX4^post_28, oldX5^0'=oldX5^post_28, oldX6^0'=oldX6^post_28, x0^0'=x0^post_28, x1^0'=x1^post_28, x2^0'=x2^post_28, [ oldX0^0==oldX0^post_28 && oldX1^0==oldX1^post_28 && oldX2^0==oldX2^post_28 && oldX3^0==oldX3^post_28 && oldX4^0==oldX4^post_28 && oldX5^0==oldX5^post_28 && oldX6^0==oldX6^post_28 && x0^0==x0^post_28 && x1^0==x1^post_28 && x2^0==x2^post_28 ], cost: 1 28: l14 -> l2 : oldX0^0'=oldX0^post_29, oldX1^0'=oldX1^post_29, oldX2^0'=oldX2^post_29, oldX3^0'=oldX3^post_29, oldX4^0'=oldX4^post_29, oldX5^0'=oldX5^post_29, oldX6^0'=oldX6^post_29, x0^0'=x0^post_29, x1^0'=x1^post_29, x2^0'=x2^post_29, [ oldX0^0==oldX0^post_29 && oldX1^0==oldX1^post_29 && oldX2^0==oldX2^post_29 && oldX3^0==oldX3^post_29 && oldX4^0==oldX4^post_29 && oldX5^0==oldX5^post_29 && oldX6^0==oldX6^post_29 && x0^0==x0^post_29 && x1^0==x1^post_29 && x2^0==x2^post_29 ], cost: 1 29: l14 -> l4 : oldX0^0'=oldX0^post_30, oldX1^0'=oldX1^post_30, oldX2^0'=oldX2^post_30, oldX3^0'=oldX3^post_30, oldX4^0'=oldX4^post_30, oldX5^0'=oldX5^post_30, oldX6^0'=oldX6^post_30, x0^0'=x0^post_30, x1^0'=x1^post_30, x2^0'=x2^post_30, [ oldX0^0==oldX0^post_30 && oldX1^0==oldX1^post_30 && oldX2^0==oldX2^post_30 && oldX3^0==oldX3^post_30 && oldX4^0==oldX4^post_30 && oldX5^0==oldX5^post_30 && oldX6^0==oldX6^post_30 && x0^0==x0^post_30 && x1^0==x1^post_30 && x2^0==x2^post_30 ], cost: 1 30: l14 -> l5 : oldX0^0'=oldX0^post_31, oldX1^0'=oldX1^post_31, oldX2^0'=oldX2^post_31, oldX3^0'=oldX3^post_31, oldX4^0'=oldX4^post_31, oldX5^0'=oldX5^post_31, oldX6^0'=oldX6^post_31, x0^0'=x0^post_31, x1^0'=x1^post_31, x2^0'=x2^post_31, [ oldX0^0==oldX0^post_31 && oldX1^0==oldX1^post_31 && oldX2^0==oldX2^post_31 && oldX3^0==oldX3^post_31 && oldX4^0==oldX4^post_31 && oldX5^0==oldX5^post_31 && oldX6^0==oldX6^post_31 && x0^0==x0^post_31 && x1^0==x1^post_31 && x2^0==x2^post_31 ], cost: 1 31: l14 -> l6 : oldX0^0'=oldX0^post_32, oldX1^0'=oldX1^post_32, oldX2^0'=oldX2^post_32, oldX3^0'=oldX3^post_32, oldX4^0'=oldX4^post_32, oldX5^0'=oldX5^post_32, oldX6^0'=oldX6^post_32, x0^0'=x0^post_32, x1^0'=x1^post_32, x2^0'=x2^post_32, [ oldX0^0==oldX0^post_32 && oldX1^0==oldX1^post_32 && oldX2^0==oldX2^post_32 && oldX3^0==oldX3^post_32 && oldX4^0==oldX4^post_32 && oldX5^0==oldX5^post_32 && oldX6^0==oldX6^post_32 && x0^0==x0^post_32 && x1^0==x1^post_32 && x2^0==x2^post_32 ], cost: 1 32: l14 -> l7 : oldX0^0'=oldX0^post_33, oldX1^0'=oldX1^post_33, oldX2^0'=oldX2^post_33, oldX3^0'=oldX3^post_33, oldX4^0'=oldX4^post_33, oldX5^0'=oldX5^post_33, oldX6^0'=oldX6^post_33, x0^0'=x0^post_33, x1^0'=x1^post_33, x2^0'=x2^post_33, [ oldX0^0==oldX0^post_33 && oldX1^0==oldX1^post_33 && oldX2^0==oldX2^post_33 && oldX3^0==oldX3^post_33 && oldX4^0==oldX4^post_33 && oldX5^0==oldX5^post_33 && oldX6^0==oldX6^post_33 && x0^0==x0^post_33 && x1^0==x1^post_33 && x2^0==x2^post_33 ], cost: 1 33: l14 -> l8 : oldX0^0'=oldX0^post_34, oldX1^0'=oldX1^post_34, oldX2^0'=oldX2^post_34, oldX3^0'=oldX3^post_34, oldX4^0'=oldX4^post_34, oldX5^0'=oldX5^post_34, oldX6^0'=oldX6^post_34, x0^0'=x0^post_34, x1^0'=x1^post_34, x2^0'=x2^post_34, [ oldX0^0==oldX0^post_34 && oldX1^0==oldX1^post_34 && oldX2^0==oldX2^post_34 && oldX3^0==oldX3^post_34 && oldX4^0==oldX4^post_34 && oldX5^0==oldX5^post_34 && oldX6^0==oldX6^post_34 && x0^0==x0^post_34 && x1^0==x1^post_34 && x2^0==x2^post_34 ], cost: 1 34: l14 -> l9 : oldX0^0'=oldX0^post_35, oldX1^0'=oldX1^post_35, oldX2^0'=oldX2^post_35, oldX3^0'=oldX3^post_35, oldX4^0'=oldX4^post_35, oldX5^0'=oldX5^post_35, oldX6^0'=oldX6^post_35, x0^0'=x0^post_35, x1^0'=x1^post_35, x2^0'=x2^post_35, [ oldX0^0==oldX0^post_35 && oldX1^0==oldX1^post_35 && oldX2^0==oldX2^post_35 && oldX3^0==oldX3^post_35 && oldX4^0==oldX4^post_35 && oldX5^0==oldX5^post_35 && oldX6^0==oldX6^post_35 && x0^0==x0^post_35 && x1^0==x1^post_35 && x2^0==x2^post_35 ], cost: 1 35: l14 -> l11 : oldX0^0'=oldX0^post_36, oldX1^0'=oldX1^post_36, oldX2^0'=oldX2^post_36, oldX3^0'=oldX3^post_36, oldX4^0'=oldX4^post_36, oldX5^0'=oldX5^post_36, oldX6^0'=oldX6^post_36, x0^0'=x0^post_36, x1^0'=x1^post_36, x2^0'=x2^post_36, [ oldX0^0==oldX0^post_36 && oldX1^0==oldX1^post_36 && oldX2^0==oldX2^post_36 && oldX3^0==oldX3^post_36 && oldX4^0==oldX4^post_36 && oldX5^0==oldX5^post_36 && oldX6^0==oldX6^post_36 && x0^0==x0^post_36 && x1^0==x1^post_36 && x2^0==x2^post_36 ], cost: 1 36: l14 -> l12 : oldX0^0'=oldX0^post_37, oldX1^0'=oldX1^post_37, oldX2^0'=oldX2^post_37, oldX3^0'=oldX3^post_37, oldX4^0'=oldX4^post_37, oldX5^0'=oldX5^post_37, oldX6^0'=oldX6^post_37, x0^0'=x0^post_37, x1^0'=x1^post_37, x2^0'=x2^post_37, [ oldX0^0==oldX0^post_37 && oldX1^0==oldX1^post_37 && oldX2^0==oldX2^post_37 && oldX3^0==oldX3^post_37 && oldX4^0==oldX4^post_37 && oldX5^0==oldX5^post_37 && oldX6^0==oldX6^post_37 && x0^0==x0^post_37 && x1^0==x1^post_37 && x2^0==x2^post_37 ], cost: 1 37: l14 -> l10 : oldX0^0'=oldX0^post_38, oldX1^0'=oldX1^post_38, oldX2^0'=oldX2^post_38, oldX3^0'=oldX3^post_38, oldX4^0'=oldX4^post_38, oldX5^0'=oldX5^post_38, oldX6^0'=oldX6^post_38, x0^0'=x0^post_38, x1^0'=x1^post_38, x2^0'=x2^post_38, [ oldX0^0==oldX0^post_38 && oldX1^0==oldX1^post_38 && oldX2^0==oldX2^post_38 && oldX3^0==oldX3^post_38 && oldX4^0==oldX4^post_38 && oldX5^0==oldX5^post_38 && oldX6^0==oldX6^post_38 && x0^0==x0^post_38 && x1^0==x1^post_38 && x2^0==x2^post_38 ], cost: 1 38: l14 -> l13 : oldX0^0'=oldX0^post_39, oldX1^0'=oldX1^post_39, oldX2^0'=oldX2^post_39, oldX3^0'=oldX3^post_39, oldX4^0'=oldX4^post_39, oldX5^0'=oldX5^post_39, oldX6^0'=oldX6^post_39, x0^0'=x0^post_39, x1^0'=x1^post_39, x2^0'=x2^post_39, [ oldX0^0==oldX0^post_39 && oldX1^0==oldX1^post_39 && oldX2^0==oldX2^post_39 && oldX3^0==oldX3^post_39 && oldX4^0==oldX4^post_39 && oldX5^0==oldX5^post_39 && oldX6^0==oldX6^post_39 && x0^0==x0^post_39 && x1^0==x1^post_39 && x2^0==x2^post_39 ], cost: 1 39: l14 -> l3 : oldX0^0'=oldX0^post_40, oldX1^0'=oldX1^post_40, oldX2^0'=oldX2^post_40, oldX3^0'=oldX3^post_40, oldX4^0'=oldX4^post_40, oldX5^0'=oldX5^post_40, oldX6^0'=oldX6^post_40, x0^0'=x0^post_40, x1^0'=x1^post_40, x2^0'=x2^post_40, [ oldX0^0==oldX0^post_40 && oldX1^0==oldX1^post_40 && oldX2^0==oldX2^post_40 && oldX3^0==oldX3^post_40 && oldX4^0==oldX4^post_40 && oldX5^0==oldX5^post_40 && oldX6^0==oldX6^post_40 && x0^0==x0^post_40 && x1^0==x1^post_40 && x2^0==x2^post_40 ], cost: 1 40: l15 -> l14 : oldX0^0'=oldX0^post_41, oldX1^0'=oldX1^post_41, oldX2^0'=oldX2^post_41, oldX3^0'=oldX3^post_41, oldX4^0'=oldX4^post_41, oldX5^0'=oldX5^post_41, oldX6^0'=oldX6^post_41, x0^0'=x0^post_41, x1^0'=x1^post_41, x2^0'=x2^post_41, [ oldX0^0==oldX0^post_41 && oldX1^0==oldX1^post_41 && oldX2^0==oldX2^post_41 && oldX3^0==oldX3^post_41 && oldX4^0==oldX4^post_41 && oldX5^0==oldX5^post_41 && oldX6^0==oldX6^post_41 && x0^0==x0^post_41 && x1^0==x1^post_41 && x2^0==x2^post_41 ], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 40: l15 -> l14 : oldX0^0'=oldX0^post_41, oldX1^0'=oldX1^post_41, oldX2^0'=oldX2^post_41, oldX3^0'=oldX3^post_41, oldX4^0'=oldX4^post_41, oldX5^0'=oldX5^post_41, oldX6^0'=oldX6^post_41, x0^0'=x0^post_41, x1^0'=x1^post_41, x2^0'=x2^post_41, [ oldX0^0==oldX0^post_41 && oldX1^0==oldX1^post_41 && oldX2^0==oldX2^post_41 && oldX3^0==oldX3^post_41 && oldX4^0==oldX4^post_41 && oldX5^0==oldX5^post_41 && oldX6^0==oldX6^post_41 && x0^0==x0^post_41 && x1^0==x1^post_41 && x2^0==x2^post_41 ], cost: 1 Removed unreachable and leaf rules: Start location: l15 1: l2 -> l3 : oldX0^0'=oldX0^post_2, oldX1^0'=oldX1^post_2, oldX2^0'=oldX2^post_2, oldX3^0'=oldX3^post_2, oldX4^0'=oldX4^post_2, oldX5^0'=oldX5^post_2, oldX6^0'=oldX6^post_2, x0^0'=x0^post_2, x1^0'=x1^post_2, x2^0'=x2^post_2, [ oldX0^post_2==x0^0 && oldX1^post_2==x1^0 && oldX2^post_2==x2^0 && oldX3^post_2==oldX3^post_2 && x0^post_2==oldX0^post_2 && x1^post_2==oldX1^post_2 && x2^post_2==oldX3^post_2 && oldX4^0==oldX4^post_2 && oldX5^0==oldX5^post_2 && oldX6^0==oldX6^post_2 ], cost: 1 22: l3 -> l10 : oldX0^0'=oldX0^post_23, oldX1^0'=oldX1^post_23, oldX2^0'=oldX2^post_23, oldX3^0'=oldX3^post_23, oldX4^0'=oldX4^post_23, oldX5^0'=oldX5^post_23, oldX6^0'=oldX6^post_23, x0^0'=x0^post_23, x1^0'=x1^post_23, x2^0'=x2^post_23, [ oldX0^post_23==x0^0 && oldX1^post_23==x1^0 && oldX2^post_23==x2^0 && 3<=oldX0^post_23 && x0^post_23==oldX0^post_23 && x1^post_23==oldX1^post_23 && x2^post_23==oldX1^post_23 && oldX3^0==oldX3^post_23 && oldX4^0==oldX4^post_23 && oldX5^0==oldX5^post_23 && oldX6^0==oldX6^post_23 ], cost: 1 23: l3 -> l10 : oldX0^0'=oldX0^post_24, oldX1^0'=oldX1^post_24, oldX2^0'=oldX2^post_24, oldX3^0'=oldX3^post_24, oldX4^0'=oldX4^post_24, oldX5^0'=oldX5^post_24, oldX6^0'=oldX6^post_24, x0^0'=x0^post_24, x1^0'=x1^post_24, x2^0'=x2^post_24, [ oldX0^post_24==x0^0 && oldX1^post_24==x1^0 && oldX2^post_24==x2^0 && 1+oldX0^post_24<=2 && x0^post_24==oldX0^post_24 && x1^post_24==oldX1^post_24 && x2^post_24==oldX1^post_24 && oldX3^0==oldX3^post_24 && oldX4^0==oldX4^post_24 && oldX5^0==oldX5^post_24 && oldX6^0==oldX6^post_24 ], cost: 1 3: l5 -> l2 : oldX0^0'=oldX0^post_4, oldX1^0'=oldX1^post_4, oldX2^0'=oldX2^post_4, oldX3^0'=oldX3^post_4, oldX4^0'=oldX4^post_4, oldX5^0'=oldX5^post_4, oldX6^0'=oldX6^post_4, x0^0'=x0^post_4, x1^0'=x1^post_4, x2^0'=x2^post_4, [ oldX0^post_4==x0^0 && oldX1^post_4==x1^0 && oldX2^post_4==x2^0 && oldX3^post_4==oldX3^post_4 && 2<=oldX1^post_4 && x0^post_4==oldX0^post_4 && x1^post_4==oldX1^post_4 && x2^post_4==oldX3^post_4 && oldX4^0==oldX4^post_4 && oldX5^0==oldX5^post_4 && oldX6^0==oldX6^post_4 ], cost: 1 4: l5 -> l2 : oldX0^0'=oldX0^post_5, oldX1^0'=oldX1^post_5, oldX2^0'=oldX2^post_5, oldX3^0'=oldX3^post_5, oldX4^0'=oldX4^post_5, oldX5^0'=oldX5^post_5, oldX6^0'=oldX6^post_5, x0^0'=x0^post_5, x1^0'=x1^post_5, x2^0'=x2^post_5, [ oldX0^post_5==x0^0 && oldX1^post_5==x1^0 && oldX2^post_5==x2^0 && oldX3^post_5==oldX3^post_5 && 1+oldX1^post_5<=1 && x0^post_5==oldX0^post_5 && x1^post_5==oldX1^post_5 && x2^post_5==oldX3^post_5 && oldX4^0==oldX4^post_5 && oldX5^0==oldX5^post_5 && oldX6^0==oldX6^post_5 ], cost: 1 6: l6 -> l2 : oldX0^0'=oldX0^post_7, oldX1^0'=oldX1^post_7, oldX2^0'=oldX2^post_7, oldX3^0'=oldX3^post_7, oldX4^0'=oldX4^post_7, oldX5^0'=oldX5^post_7, oldX6^0'=oldX6^post_7, x0^0'=x0^post_7, x1^0'=x1^post_7, x2^0'=x2^post_7, [ oldX0^post_7==x0^0 && oldX1^post_7==x1^0 && oldX2^post_7==x2^0 && oldX3^post_7==oldX3^post_7 && 1<=oldX1^post_7 && x0^post_7==oldX0^post_7 && x1^post_7==oldX1^post_7 && x2^post_7==oldX3^post_7 && oldX4^0==oldX4^post_7 && oldX5^0==oldX5^post_7 && oldX6^0==oldX6^post_7 ], cost: 1 7: l6 -> l2 : oldX0^0'=oldX0^post_8, oldX1^0'=oldX1^post_8, oldX2^0'=oldX2^post_8, oldX3^0'=oldX3^post_8, oldX4^0'=oldX4^post_8, oldX5^0'=oldX5^post_8, oldX6^0'=oldX6^post_8, x0^0'=x0^post_8, x1^0'=x1^post_8, x2^0'=x2^post_8, [ oldX0^post_8==x0^0 && oldX1^post_8==x1^0 && oldX2^post_8==x2^0 && oldX3^post_8==oldX3^post_8 && 1+oldX1^post_8<=0 && x0^post_8==oldX0^post_8 && x1^post_8==oldX1^post_8 && x2^post_8==oldX3^post_8 && oldX4^0==oldX4^post_8 && oldX5^0==oldX5^post_8 && oldX6^0==oldX6^post_8 ], cost: 1 9: l7 -> l5 : oldX0^0'=oldX0^post_10, oldX1^0'=oldX1^post_10, oldX2^0'=oldX2^post_10, oldX3^0'=oldX3^post_10, oldX4^0'=oldX4^post_10, oldX5^0'=oldX5^post_10, oldX6^0'=oldX6^post_10, x0^0'=x0^post_10, x1^0'=x1^post_10, x2^0'=x2^post_10, [ oldX0^post_10==x0^0 && oldX1^post_10==x1^0 && oldX2^post_10==x2^0 && oldX3^post_10==oldX3^post_10 && 1<=oldX1^post_10 && x0^post_10==oldX0^post_10 && x1^post_10==oldX1^post_10 && x2^post_10==oldX3^post_10 && oldX4^0==oldX4^post_10 && oldX5^0==oldX5^post_10 && oldX6^0==oldX6^post_10 ], cost: 1 10: l7 -> l6 : oldX0^0'=oldX0^post_11, oldX1^0'=oldX1^post_11, oldX2^0'=oldX2^post_11, oldX3^0'=oldX3^post_11, oldX4^0'=oldX4^post_11, oldX5^0'=oldX5^post_11, oldX6^0'=oldX6^post_11, x0^0'=x0^post_11, x1^0'=x1^post_11, x2^0'=x2^post_11, [ oldX0^post_11==x0^0 && oldX1^post_11==x1^0 && oldX2^post_11==x2^0 && oldX3^post_11==oldX3^post_11 && 1+oldX1^post_11<=1 && x0^post_11==oldX0^post_11 && x1^post_11==oldX1^post_11 && x2^post_11==oldX3^post_11 && oldX4^0==oldX4^post_11 && oldX5^0==oldX5^post_11 && oldX6^0==oldX6^post_11 ], cost: 1 11: l8 -> l7 : oldX0^0'=oldX0^post_12, oldX1^0'=oldX1^post_12, oldX2^0'=oldX2^post_12, oldX3^0'=oldX3^post_12, oldX4^0'=oldX4^post_12, oldX5^0'=oldX5^post_12, oldX6^0'=oldX6^post_12, x0^0'=x0^post_12, x1^0'=x1^post_12, x2^0'=x2^post_12, [ oldX0^post_12==x0^0 && oldX1^post_12==x1^0 && oldX2^post_12==x2^0 && oldX3^post_12==oldX3^post_12 && x0^post_12==oldX0^post_12 && x1^post_12==oldX1^post_12 && x2^post_12==oldX3^post_12 && oldX4^0==oldX4^post_12 && oldX5^0==oldX5^post_12 && oldX6^0==oldX6^post_12 ], cost: 1 14: l9 -> l10 : oldX0^0'=oldX0^post_15, oldX1^0'=oldX1^post_15, oldX2^0'=oldX2^post_15, oldX3^0'=oldX3^post_15, oldX4^0'=oldX4^post_15, oldX5^0'=oldX5^post_15, oldX6^0'=oldX6^post_15, x0^0'=x0^post_15, x1^0'=x1^post_15, x2^0'=x2^post_15, [ oldX0^post_15==x0^0 && oldX1^post_15==x1^0 && oldX2^post_15==x2^0 && oldX3^post_15==oldX3^post_15 && 0<=oldX2^post_15-2*oldX3^post_15 && 1+oldX2^post_15-2*oldX3^post_15<=2 && x0^post_15==oldX0^post_15 && x1^post_15==oldX1^post_15 && x2^post_15==oldX3^post_15 && oldX4^0==oldX4^post_15 && oldX5^0==oldX5^post_15 && oldX6^0==oldX6^post_15 ], cost: 1 20: l10 -> l12 : oldX0^0'=oldX0^post_21, oldX1^0'=oldX1^post_21, oldX2^0'=oldX2^post_21, oldX3^0'=oldX3^post_21, oldX4^0'=oldX4^post_21, oldX5^0'=oldX5^post_21, oldX6^0'=oldX6^post_21, x0^0'=x0^post_21, x1^0'=x1^post_21, x2^0'=x2^post_21, [ oldX0^post_21==x0^0 && oldX1^post_21==x1^0 && oldX2^post_21==x2^0 && 1<=oldX2^post_21 && x0^post_21==oldX0^post_21 && x1^post_21==oldX1^post_21 && x2^post_21==oldX2^post_21 && oldX3^0==oldX3^post_21 && oldX4^0==oldX4^post_21 && oldX5^0==oldX5^post_21 && oldX6^0==oldX6^post_21 ], cost: 1 15: l11 -> l9 : oldX0^0'=oldX0^post_16, oldX1^0'=oldX1^post_16, oldX2^0'=oldX2^post_16, oldX3^0'=oldX3^post_16, oldX4^0'=oldX4^post_16, oldX5^0'=oldX5^post_16, oldX6^0'=oldX6^post_16, x0^0'=x0^post_16, x1^0'=x1^post_16, x2^0'=x2^post_16, [ oldX0^post_16==x0^0 && oldX1^post_16==x1^0 && oldX2^post_16==x2^0 && x0^post_16==oldX0^post_16 && x1^post_16==oldX1^post_16 && x2^post_16==oldX2^post_16 && oldX3^0==oldX3^post_16 && oldX4^0==oldX4^post_16 && oldX5^0==oldX5^post_16 && oldX6^0==oldX6^post_16 ], cost: 1 16: l12 -> l9 : oldX0^0'=oldX0^post_17, oldX1^0'=oldX1^post_17, oldX2^0'=oldX2^post_17, oldX3^0'=oldX3^post_17, oldX4^0'=oldX4^post_17, oldX5^0'=oldX5^post_17, oldX6^0'=oldX6^post_17, x0^0'=x0^post_17, x1^0'=x1^post_17, x2^0'=x2^post_17, [ oldX0^post_17==x0^0 && oldX1^post_17==x1^0 && oldX2^post_17==x2^0 && oldX3^post_17==oldX3^post_17 && 2<=oldX3^post_17 && x0^post_17==oldX0^post_17 && x1^post_17==oldX1^post_17 && x2^post_17==oldX2^post_17 && oldX4^0==oldX4^post_17 && oldX5^0==oldX5^post_17 && oldX6^0==oldX6^post_17 ], cost: 1 17: l12 -> l9 : oldX0^0'=oldX0^post_18, oldX1^0'=oldX1^post_18, oldX2^0'=oldX2^post_18, oldX3^0'=oldX3^post_18, oldX4^0'=oldX4^post_18, oldX5^0'=oldX5^post_18, oldX6^0'=oldX6^post_18, x0^0'=x0^post_18, x1^0'=x1^post_18, x2^0'=x2^post_18, [ oldX0^post_18==x0^0 && oldX1^post_18==x1^0 && oldX2^post_18==x2^0 && oldX3^post_18==oldX3^post_18 && 1+oldX3^post_18<=1 && x0^post_18==oldX0^post_18 && x1^post_18==oldX1^post_18 && x2^post_18==oldX2^post_18 && oldX4^0==oldX4^post_18 && oldX5^0==oldX5^post_18 && oldX6^0==oldX6^post_18 ], cost: 1 18: l12 -> l11 : oldX0^0'=oldX0^post_19, oldX1^0'=oldX1^post_19, oldX2^0'=oldX2^post_19, oldX3^0'=oldX3^post_19, oldX4^0'=oldX4^post_19, oldX5^0'=oldX5^post_19, oldX6^0'=oldX6^post_19, x0^0'=x0^post_19, x1^0'=x1^post_19, x2^0'=x2^post_19, [ oldX0^post_19==x0^0 && oldX1^post_19==x1^0 && oldX2^post_19==x2^0 && oldX3^post_19==oldX3^post_19 && oldX3^post_19<=1 && 1<=oldX3^post_19 && x0^post_19==oldX0^post_19 && x1^post_19==oldX1^post_19 && x2^post_19==oldX2^post_19 && oldX4^0==oldX4^post_19 && oldX5^0==oldX5^post_19 && oldX6^0==oldX6^post_19 ], cost: 1 25: l14 -> l8 : oldX0^0'=oldX0^post_26, oldX1^0'=oldX1^post_26, oldX2^0'=oldX2^post_26, oldX3^0'=oldX3^post_26, oldX4^0'=oldX4^post_26, oldX5^0'=oldX5^post_26, oldX6^0'=oldX6^post_26, x0^0'=x0^post_26, x1^0'=x1^post_26, x2^0'=x2^post_26, [ oldX0^post_26==x0^0 && oldX1^post_26==x1^0 && oldX2^post_26==x2^0 && oldX3^post_26==oldX3^post_26 && x0^post_26==oldX0^post_26 && x1^post_26==oldX1^post_26 && x2^post_26==oldX3^post_26 && oldX4^0==oldX4^post_26 && oldX5^0==oldX5^post_26 && oldX6^0==oldX6^post_26 ], cost: 1 28: l14 -> l2 : oldX0^0'=oldX0^post_29, oldX1^0'=oldX1^post_29, oldX2^0'=oldX2^post_29, oldX3^0'=oldX3^post_29, oldX4^0'=oldX4^post_29, oldX5^0'=oldX5^post_29, oldX6^0'=oldX6^post_29, x0^0'=x0^post_29, x1^0'=x1^post_29, x2^0'=x2^post_29, [ oldX0^0==oldX0^post_29 && oldX1^0==oldX1^post_29 && oldX2^0==oldX2^post_29 && oldX3^0==oldX3^post_29 && oldX4^0==oldX4^post_29 && oldX5^0==oldX5^post_29 && oldX6^0==oldX6^post_29 && x0^0==x0^post_29 && x1^0==x1^post_29 && x2^0==x2^post_29 ], cost: 1 30: l14 -> l5 : oldX0^0'=oldX0^post_31, oldX1^0'=oldX1^post_31, oldX2^0'=oldX2^post_31, oldX3^0'=oldX3^post_31, oldX4^0'=oldX4^post_31, oldX5^0'=oldX5^post_31, oldX6^0'=oldX6^post_31, x0^0'=x0^post_31, x1^0'=x1^post_31, x2^0'=x2^post_31, [ oldX0^0==oldX0^post_31 && oldX1^0==oldX1^post_31 && oldX2^0==oldX2^post_31 && oldX3^0==oldX3^post_31 && oldX4^0==oldX4^post_31 && oldX5^0==oldX5^post_31 && oldX6^0==oldX6^post_31 && x0^0==x0^post_31 && x1^0==x1^post_31 && x2^0==x2^post_31 ], cost: 1 31: l14 -> l6 : oldX0^0'=oldX0^post_32, oldX1^0'=oldX1^post_32, oldX2^0'=oldX2^post_32, oldX3^0'=oldX3^post_32, oldX4^0'=oldX4^post_32, oldX5^0'=oldX5^post_32, oldX6^0'=oldX6^post_32, x0^0'=x0^post_32, x1^0'=x1^post_32, x2^0'=x2^post_32, [ oldX0^0==oldX0^post_32 && oldX1^0==oldX1^post_32 && oldX2^0==oldX2^post_32 && oldX3^0==oldX3^post_32 && oldX4^0==oldX4^post_32 && oldX5^0==oldX5^post_32 && oldX6^0==oldX6^post_32 && x0^0==x0^post_32 && x1^0==x1^post_32 && x2^0==x2^post_32 ], cost: 1 32: l14 -> l7 : oldX0^0'=oldX0^post_33, oldX1^0'=oldX1^post_33, oldX2^0'=oldX2^post_33, oldX3^0'=oldX3^post_33, oldX4^0'=oldX4^post_33, oldX5^0'=oldX5^post_33, oldX6^0'=oldX6^post_33, x0^0'=x0^post_33, x1^0'=x1^post_33, x2^0'=x2^post_33, [ oldX0^0==oldX0^post_33 && oldX1^0==oldX1^post_33 && oldX2^0==oldX2^post_33 && oldX3^0==oldX3^post_33 && oldX4^0==oldX4^post_33 && oldX5^0==oldX5^post_33 && oldX6^0==oldX6^post_33 && x0^0==x0^post_33 && x1^0==x1^post_33 && x2^0==x2^post_33 ], cost: 1 33: l14 -> l8 : oldX0^0'=oldX0^post_34, oldX1^0'=oldX1^post_34, oldX2^0'=oldX2^post_34, oldX3^0'=oldX3^post_34, oldX4^0'=oldX4^post_34, oldX5^0'=oldX5^post_34, oldX6^0'=oldX6^post_34, x0^0'=x0^post_34, x1^0'=x1^post_34, x2^0'=x2^post_34, [ oldX0^0==oldX0^post_34 && oldX1^0==oldX1^post_34 && oldX2^0==oldX2^post_34 && oldX3^0==oldX3^post_34 && oldX4^0==oldX4^post_34 && oldX5^0==oldX5^post_34 && oldX6^0==oldX6^post_34 && x0^0==x0^post_34 && x1^0==x1^post_34 && x2^0==x2^post_34 ], cost: 1 34: l14 -> l9 : oldX0^0'=oldX0^post_35, oldX1^0'=oldX1^post_35, oldX2^0'=oldX2^post_35, oldX3^0'=oldX3^post_35, oldX4^0'=oldX4^post_35, oldX5^0'=oldX5^post_35, oldX6^0'=oldX6^post_35, x0^0'=x0^post_35, x1^0'=x1^post_35, x2^0'=x2^post_35, [ oldX0^0==oldX0^post_35 && oldX1^0==oldX1^post_35 && oldX2^0==oldX2^post_35 && oldX3^0==oldX3^post_35 && oldX4^0==oldX4^post_35 && oldX5^0==oldX5^post_35 && oldX6^0==oldX6^post_35 && x0^0==x0^post_35 && x1^0==x1^post_35 && x2^0==x2^post_35 ], cost: 1 35: l14 -> l11 : oldX0^0'=oldX0^post_36, oldX1^0'=oldX1^post_36, oldX2^0'=oldX2^post_36, oldX3^0'=oldX3^post_36, oldX4^0'=oldX4^post_36, oldX5^0'=oldX5^post_36, oldX6^0'=oldX6^post_36, x0^0'=x0^post_36, x1^0'=x1^post_36, x2^0'=x2^post_36, [ oldX0^0==oldX0^post_36 && oldX1^0==oldX1^post_36 && oldX2^0==oldX2^post_36 && oldX3^0==oldX3^post_36 && oldX4^0==oldX4^post_36 && oldX5^0==oldX5^post_36 && oldX6^0==oldX6^post_36 && x0^0==x0^post_36 && x1^0==x1^post_36 && x2^0==x2^post_36 ], cost: 1 36: l14 -> l12 : oldX0^0'=oldX0^post_37, oldX1^0'=oldX1^post_37, oldX2^0'=oldX2^post_37, oldX3^0'=oldX3^post_37, oldX4^0'=oldX4^post_37, oldX5^0'=oldX5^post_37, oldX6^0'=oldX6^post_37, x0^0'=x0^post_37, x1^0'=x1^post_37, x2^0'=x2^post_37, [ oldX0^0==oldX0^post_37 && oldX1^0==oldX1^post_37 && oldX2^0==oldX2^post_37 && oldX3^0==oldX3^post_37 && oldX4^0==oldX4^post_37 && oldX5^0==oldX5^post_37 && oldX6^0==oldX6^post_37 && x0^0==x0^post_37 && x1^0==x1^post_37 && x2^0==x2^post_37 ], cost: 1 37: l14 -> l10 : oldX0^0'=oldX0^post_38, oldX1^0'=oldX1^post_38, oldX2^0'=oldX2^post_38, oldX3^0'=oldX3^post_38, oldX4^0'=oldX4^post_38, oldX5^0'=oldX5^post_38, oldX6^0'=oldX6^post_38, x0^0'=x0^post_38, x1^0'=x1^post_38, x2^0'=x2^post_38, [ oldX0^0==oldX0^post_38 && oldX1^0==oldX1^post_38 && oldX2^0==oldX2^post_38 && oldX3^0==oldX3^post_38 && oldX4^0==oldX4^post_38 && oldX5^0==oldX5^post_38 && oldX6^0==oldX6^post_38 && x0^0==x0^post_38 && x1^0==x1^post_38 && x2^0==x2^post_38 ], cost: 1 39: l14 -> l3 : oldX0^0'=oldX0^post_40, oldX1^0'=oldX1^post_40, oldX2^0'=oldX2^post_40, oldX3^0'=oldX3^post_40, oldX4^0'=oldX4^post_40, oldX5^0'=oldX5^post_40, oldX6^0'=oldX6^post_40, x0^0'=x0^post_40, x1^0'=x1^post_40, x2^0'=x2^post_40, [ oldX0^0==oldX0^post_40 && oldX1^0==oldX1^post_40 && oldX2^0==oldX2^post_40 && oldX3^0==oldX3^post_40 && oldX4^0==oldX4^post_40 && oldX5^0==oldX5^post_40 && oldX6^0==oldX6^post_40 && x0^0==x0^post_40 && x1^0==x1^post_40 && x2^0==x2^post_40 ], cost: 1 40: l15 -> l14 : oldX0^0'=oldX0^post_41, oldX1^0'=oldX1^post_41, oldX2^0'=oldX2^post_41, oldX3^0'=oldX3^post_41, oldX4^0'=oldX4^post_41, oldX5^0'=oldX5^post_41, oldX6^0'=oldX6^post_41, x0^0'=x0^post_41, x1^0'=x1^post_41, x2^0'=x2^post_41, [ oldX0^0==oldX0^post_41 && oldX1^0==oldX1^post_41 && oldX2^0==oldX2^post_41 && oldX3^0==oldX3^post_41 && oldX4^0==oldX4^post_41 && oldX5^0==oldX5^post_41 && oldX6^0==oldX6^post_41 && x0^0==x0^post_41 && x1^0==x1^post_41 && x2^0==x2^post_41 ], cost: 1 Simplified all rules, resulting in: Start location: l15 1: l2 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_2, x2^0'=oldX3^post_2, [], cost: 1 22: l3 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x2^0'=x1^0, [ 3<=x0^0 ], cost: 1 23: l3 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x2^0'=x1^0, [ 1+x0^0<=2 ], cost: 1 3: l5 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_4, x2^0'=x2^post_4, [ 2<=x1^0 ], cost: 1 4: l5 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_5, x2^0'=x2^post_5, [ 1+x1^0<=1 ], cost: 1 6: l6 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_7, x2^0'=x2^post_7, [ 1<=x1^0 ], cost: 1 7: l6 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_8, x2^0'=oldX3^post_8, [ 1+x1^0<=0 ], cost: 1 9: l7 -> l5 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_10, x2^0'=x2^post_10, [ 1<=x1^0 ], cost: 1 10: l7 -> l6 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_11, x2^0'=x2^post_11, [ 1+x1^0<=1 ], cost: 1 11: l8 -> l7 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_12, x2^0'=x2^post_12, [], cost: 1 14: l9 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 ], cost: 1 20: l10 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 1 15: l11 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [], cost: 1 16: l12 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_17, [ 2<=oldX3^post_17 ], cost: 1 17: l12 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_18, [ 1+oldX3^post_18<=1 ], cost: 1 18: l12 -> l11 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=1, [], cost: 1 25: l14 -> l8 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_26, x2^0'=oldX3^post_26, [], cost: 1 28: l14 -> l2 : [], cost: 1 30: l14 -> l5 : [], cost: 1 31: l14 -> l6 : [], cost: 1 32: l14 -> l7 : [], cost: 1 33: l14 -> l8 : [], cost: 1 34: l14 -> l9 : [], cost: 1 35: l14 -> l11 : [], cost: 1 36: l14 -> l12 : [], cost: 1 37: l14 -> l10 : [], cost: 1 39: l14 -> l3 : [], cost: 1 40: l15 -> l14 : [], cost: 1 ### Simplification by acceleration and chaining ### Eliminated locations (on tree-shaped paths): Start location: l15 1: l2 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_2, x2^0'=oldX3^post_2, [], cost: 1 22: l3 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x2^0'=x1^0, [ 3<=x0^0 ], cost: 1 23: l3 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x2^0'=x1^0, [ 1+x0^0<=2 ], cost: 1 3: l5 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_4, x2^0'=x2^post_4, [ 2<=x1^0 ], cost: 1 4: l5 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_5, x2^0'=x2^post_5, [ 1+x1^0<=1 ], cost: 1 6: l6 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_7, x2^0'=x2^post_7, [ 1<=x1^0 ], cost: 1 7: l6 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_8, x2^0'=oldX3^post_8, [ 1+x1^0<=0 ], cost: 1 9: l7 -> l5 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_10, x2^0'=x2^post_10, [ 1<=x1^0 ], cost: 1 10: l7 -> l6 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_11, x2^0'=x2^post_11, [ 1+x1^0<=1 ], cost: 1 11: l8 -> l7 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_12, x2^0'=x2^post_12, [], cost: 1 14: l9 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 ], cost: 1 20: l10 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 1 15: l11 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [], cost: 1 16: l12 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_17, [ 2<=oldX3^post_17 ], cost: 1 17: l12 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_18, [ 1+oldX3^post_18<=1 ], cost: 1 18: l12 -> l11 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=1, [], cost: 1 41: l15 -> l8 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_26, x2^0'=oldX3^post_26, [], cost: 2 42: l15 -> l2 : [], cost: 2 43: l15 -> l5 : [], cost: 2 44: l15 -> l6 : [], cost: 2 45: l15 -> l7 : [], cost: 2 46: l15 -> l8 : [], cost: 2 47: l15 -> l9 : [], cost: 2 48: l15 -> l11 : [], cost: 2 49: l15 -> l12 : [], cost: 2 50: l15 -> l10 : [], cost: 2 51: l15 -> l3 : [], cost: 2 Eliminated locations (on tree-shaped paths): Start location: l15 1: l2 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_2, x2^0'=oldX3^post_2, [], cost: 1 22: l3 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x2^0'=x1^0, [ 3<=x0^0 ], cost: 1 23: l3 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x2^0'=x1^0, [ 1+x0^0<=2 ], cost: 1 3: l5 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_4, x2^0'=x2^post_4, [ 2<=x1^0 ], cost: 1 4: l5 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_5, x2^0'=x2^post_5, [ 1+x1^0<=1 ], cost: 1 6: l6 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_7, x2^0'=x2^post_7, [ 1<=x1^0 ], cost: 1 7: l6 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_8, x2^0'=oldX3^post_8, [ 1+x1^0<=0 ], cost: 1 9: l7 -> l5 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_10, x2^0'=x2^post_10, [ 1<=x1^0 ], cost: 1 10: l7 -> l6 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_11, x2^0'=x2^post_11, [ 1+x1^0<=1 ], cost: 1 14: l9 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 ], cost: 1 20: l10 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 1 15: l11 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [], cost: 1 16: l12 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_17, [ 2<=oldX3^post_17 ], cost: 1 17: l12 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_18, [ 1+oldX3^post_18<=1 ], cost: 1 18: l12 -> l11 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=1, [], cost: 1 42: l15 -> l2 : [], cost: 2 43: l15 -> l5 : [], cost: 2 44: l15 -> l6 : [], cost: 2 45: l15 -> l7 : [], cost: 2 47: l15 -> l9 : [], cost: 2 48: l15 -> l11 : [], cost: 2 49: l15 -> l12 : [], cost: 2 50: l15 -> l10 : [], cost: 2 51: l15 -> l3 : [], cost: 2 52: l15 -> l7 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_26, oldX3^0'=x2^post_12, x2^0'=x2^post_12, [], cost: 3 53: l15 -> l7 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_12, x2^0'=x2^post_12, [], cost: 3 Eliminated locations (on tree-shaped paths): Start location: l15 1: l2 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_2, x2^0'=oldX3^post_2, [], cost: 1 22: l3 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x2^0'=x1^0, [ 3<=x0^0 ], cost: 1 23: l3 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x2^0'=x1^0, [ 1+x0^0<=2 ], cost: 1 3: l5 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_4, x2^0'=x2^post_4, [ 2<=x1^0 ], cost: 1 4: l5 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_5, x2^0'=x2^post_5, [ 1+x1^0<=1 ], cost: 1 6: l6 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_7, x2^0'=x2^post_7, [ 1<=x1^0 ], cost: 1 7: l6 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_8, x2^0'=oldX3^post_8, [ 1+x1^0<=0 ], cost: 1 14: l9 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 ], cost: 1 20: l10 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 1 15: l11 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [], cost: 1 16: l12 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_17, [ 2<=oldX3^post_17 ], cost: 1 17: l12 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_18, [ 1+oldX3^post_18<=1 ], cost: 1 18: l12 -> l11 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=1, [], cost: 1 42: l15 -> l2 : [], cost: 2 43: l15 -> l5 : [], cost: 2 44: l15 -> l6 : [], cost: 2 47: l15 -> l9 : [], cost: 2 48: l15 -> l11 : [], cost: 2 49: l15 -> l12 : [], cost: 2 50: l15 -> l10 : [], cost: 2 51: l15 -> l3 : [], cost: 2 54: l15 -> l5 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_10, x2^0'=x2^post_10, [ 1<=x1^0 ], cost: 3 55: l15 -> l6 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_11, x2^0'=x2^post_11, [ 1+x1^0<=1 ], cost: 3 56: l15 -> l5 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^post_12, oldX3^0'=x2^post_10, x2^0'=x2^post_10, [ 1<=x1^0 ], cost: 4 57: l15 -> l6 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^post_12, oldX3^0'=x2^post_11, x2^0'=x2^post_11, [ 1+x1^0<=1 ], cost: 4 58: l15 -> l5 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^post_12, oldX3^0'=x2^post_10, x2^0'=x2^post_10, [ 1<=x1^0 ], cost: 4 59: l15 -> l6 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^post_12, oldX3^0'=x2^post_11, x2^0'=x2^post_11, [ 1+x1^0<=1 ], cost: 4 Eliminated locations (on tree-shaped paths): Start location: l15 1: l2 -> l3 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_2, x2^0'=oldX3^post_2, [], cost: 1 22: l3 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x2^0'=x1^0, [ 3<=x0^0 ], cost: 1 23: l3 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x2^0'=x1^0, [ 1+x0^0<=2 ], cost: 1 14: l9 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 ], cost: 1 20: l10 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 1 15: l11 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [], cost: 1 16: l12 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_17, [ 2<=oldX3^post_17 ], cost: 1 17: l12 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_18, [ 1+oldX3^post_18<=1 ], cost: 1 18: l12 -> l11 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=1, [], cost: 1 42: l15 -> l2 : [], cost: 2 47: l15 -> l9 : [], cost: 2 48: l15 -> l11 : [], cost: 2 49: l15 -> l12 : [], cost: 2 50: l15 -> l10 : [], cost: 2 51: l15 -> l3 : [], cost: 2 60: l15 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_4, x2^0'=x2^post_4, [ 2<=x1^0 ], cost: 3 61: l15 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_5, x2^0'=x2^post_5, [ 1+x1^0<=1 ], cost: 3 62: l15 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^post_10, oldX3^0'=x2^post_4, x2^0'=x2^post_4, [ 2<=x1^0 ], cost: 4 63: l15 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^post_10, oldX3^0'=x2^post_4, x2^0'=x2^post_4, [ 2<=x1^0 ], cost: 5 64: l15 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^post_10, oldX3^0'=x2^post_4, x2^0'=x2^post_4, [ 2<=x1^0 ], cost: 5 65: l15 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=x2^post_7, x2^0'=x2^post_7, [ 1<=x1^0 ], cost: 3 66: l15 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_8, x2^0'=oldX3^post_8, [ 1+x1^0<=0 ], cost: 3 67: l15 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^post_11, oldX3^0'=oldX3^post_8, x2^0'=oldX3^post_8, [ 1+x1^0<=0 ], cost: 4 68: l15 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^post_11, oldX3^0'=oldX3^post_8, x2^0'=oldX3^post_8, [ 1+x1^0<=0 ], cost: 5 69: l15 -> l2 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^post_11, oldX3^0'=oldX3^post_8, x2^0'=oldX3^post_8, [ 1+x1^0<=0 ], cost: 5 Eliminated locations (on tree-shaped paths): Start location: l15 14: l9 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 ], cost: 1 20: l10 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 1 15: l11 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [], cost: 1 16: l12 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_17, [ 2<=oldX3^post_17 ], cost: 1 17: l12 -> l9 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_18, [ 1+oldX3^post_18<=1 ], cost: 1 18: l12 -> l11 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=1, [], cost: 1 47: l15 -> l9 : [], cost: 2 48: l15 -> l11 : [], cost: 2 49: l15 -> l12 : [], cost: 2 50: l15 -> l10 : [], cost: 2 81: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x2^0'=x1^0, [ 3<=x0^0 ], cost: 3 82: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x2^0'=x1^0, [ 1+x0^0<=2 ], cost: 3 83: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 3<=x0^0 ], cost: 4 84: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x0^0<=2 ], cost: 4 85: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 5 86: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 5 87: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=1 && 3<=x0^0 ], cost: 5 88: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=1 && 1+x0^0<=2 ], cost: 5 89: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 6 90: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 6 91: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 7 92: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 7 93: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 7 94: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 7 95: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1<=x1^0 && 3<=x0^0 ], cost: 5 96: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1<=x1^0 && 1+x0^0<=2 ], cost: 5 97: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 3<=x0^0 ], cost: 5 98: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 1+x0^0<=2 ], cost: 5 99: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 3<=x0^0 ], cost: 6 100: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 1+x0^0<=2 ], cost: 6 101: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 3<=x0^0 ], cost: 7 102: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 1+x0^0<=2 ], cost: 7 103: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 3<=x0^0 ], cost: 7 104: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 1+x0^0<=2 ], cost: 7 Eliminated location l9 (as a last resort): Start location: l15 20: l10 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 1 105: l11 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 ], cost: 2 18: l12 -> l11 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=1, [], cost: 1 106: l12 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=oldX3^post_17 && 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 ], cost: 2 107: l12 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1+oldX3^post_18<=1 && 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 ], cost: 2 48: l15 -> l11 : [], cost: 2 49: l15 -> l12 : [], cost: 2 50: l15 -> l10 : [], cost: 2 81: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x2^0'=x1^0, [ 3<=x0^0 ], cost: 3 82: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, x2^0'=x1^0, [ 1+x0^0<=2 ], cost: 3 83: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 3<=x0^0 ], cost: 4 84: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x0^0<=2 ], cost: 4 85: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 5 86: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 5 87: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=1 && 3<=x0^0 ], cost: 5 88: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=1 && 1+x0^0<=2 ], cost: 5 89: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 6 90: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 6 91: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 7 92: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 7 93: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 7 94: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 7 95: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1<=x1^0 && 3<=x0^0 ], cost: 5 96: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1<=x1^0 && 1+x0^0<=2 ], cost: 5 97: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 3<=x0^0 ], cost: 5 98: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 1+x0^0<=2 ], cost: 5 99: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 3<=x0^0 ], cost: 6 100: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 1+x0^0<=2 ], cost: 6 101: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 3<=x0^0 ], cost: 7 102: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 1+x0^0<=2 ], cost: 7 103: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 3<=x0^0 ], cost: 7 104: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_2, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x1^0<=0 && 1+x0^0<=2 ], cost: 7 108: l15 -> l10 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 ], cost: 3 Eliminated location l10 (as a last resort): Start location: l15 124: l11 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 3 18: l12 -> l11 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=1, [], cost: 1 125: l12 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=oldX3^post_17 && 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 3 126: l12 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1+oldX3^post_18<=1 && 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 3 48: l15 -> l11 : [], cost: 2 49: l15 -> l12 : [], cost: 2 109: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 3 110: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, x2^0'=x1^0, [ 3<=x0^0 && 1<=x1^0 ], cost: 4 111: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, x2^0'=x1^0, [ 1+x0^0<=2 && 1<=x1^0 ], cost: 4 112: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 3<=x0^0 && 1<=x1^0 ], cost: 5 113: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x0^0<=2 && 1<=x1^0 ], cost: 5 114: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 6 115: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 6 116: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 7 117: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 7 118: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 8 119: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 8 120: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 8 121: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 8 122: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1<=x1^0 && 3<=x0^0 ], cost: 6 123: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1<=x1^0 && 1+x0^0<=2 ], cost: 6 127: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 4 Accelerating simple loops of location 12. [accelerate] Removed some duplicate simple loops Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 126: l12 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 3 Failed to prove monotonicity of the guard of rule 126. [accelerate] Nesting with 1 inner and 1 outer candidates Accelerated all simple loops using metering functions (where possible): Start location: l15 124: l11 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 3 18: l12 -> l11 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=1, [], cost: 1 126: l12 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 3 48: l15 -> l11 : [], cost: 2 49: l15 -> l12 : [], cost: 2 109: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 3 110: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, x2^0'=x1^0, [ 3<=x0^0 && 1<=x1^0 ], cost: 4 111: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, x2^0'=x1^0, [ 1+x0^0<=2 && 1<=x1^0 ], cost: 4 112: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 3<=x0^0 && 1<=x1^0 ], cost: 5 113: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x0^0<=2 && 1<=x1^0 ], cost: 5 114: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 6 115: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 6 116: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 7 117: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 7 118: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 8 119: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 8 120: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 8 121: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 8 122: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1<=x1^0 && 3<=x0^0 ], cost: 6 123: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1<=x1^0 && 1+x0^0<=2 ], cost: 6 127: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 4 Chained accelerated rules (with incoming rules): Start location: l15 124: l11 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 3 18: l12 -> l11 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, oldX3^0'=1, [], cost: 1 48: l15 -> l11 : [], cost: 2 49: l15 -> l12 : [], cost: 2 109: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 3 110: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, x2^0'=x1^0, [ 3<=x0^0 && 1<=x1^0 ], cost: 4 111: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, x2^0'=x1^0, [ 1+x0^0<=2 && 1<=x1^0 ], cost: 4 112: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 3<=x0^0 && 1<=x1^0 ], cost: 5 113: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x0^0<=2 && 1<=x1^0 ], cost: 5 114: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 6 115: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 6 116: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 7 117: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 7 118: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 8 119: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 8 120: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 8 121: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 8 122: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1<=x1^0 && 3<=x0^0 ], cost: 6 123: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1<=x1^0 && 1+x0^0<=2 ], cost: 6 127: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 4 128: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 5 129: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1<=x2^0 && 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 6 130: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 3<=x0^0 && 1<=x1^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 7 131: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1+x0^0<=2 && 1<=x1^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 7 132: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 3<=x0^0 && 1<=x1^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 8 133: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1+x0^0<=2 && 1<=x1^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 8 134: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 3<=x0^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 9 135: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 1+x0^0<=2 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 9 136: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 3<=x0^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 10 137: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 1+x0^0<=2 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 10 138: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 3<=x0^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 11 139: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 1+x0^0<=2 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 11 140: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 3<=x0^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 11 141: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 1+x0^0<=2 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 11 142: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1<=x1^0 && 3<=x0^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 9 143: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1<=x1^0 && 1+x0^0<=2 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 9 Eliminated location l11 (as a last resort): Start location: l15 144: l12 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 4 49: l15 -> l12 : [], cost: 2 109: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 3 110: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, x2^0'=x1^0, [ 3<=x0^0 && 1<=x1^0 ], cost: 4 111: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, x2^0'=x1^0, [ 1+x0^0<=2 && 1<=x1^0 ], cost: 4 112: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 3<=x0^0 && 1<=x1^0 ], cost: 5 113: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1+x0^0<=2 && 1<=x1^0 ], cost: 5 114: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 6 115: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 6 116: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 7 117: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 7 118: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 8 119: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 8 120: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 8 121: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 8 122: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1<=x1^0 && 3<=x0^0 ], cost: 6 123: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1<=x1^0 && 1+x0^0<=2 ], cost: 6 127: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 4 128: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 5 129: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1<=x2^0 && 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 6 130: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 3<=x0^0 && 1<=x1^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 7 131: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1+x0^0<=2 && 1<=x1^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 7 132: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 3<=x0^0 && 1<=x1^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 8 133: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1+x0^0<=2 && 1<=x1^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 8 134: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 3<=x0^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 9 135: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 1+x0^0<=2 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 9 136: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 3<=x0^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 10 137: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 1+x0^0<=2 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 10 138: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 3<=x0^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 11 139: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 1+x0^0<=2 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 11 140: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 3<=x0^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 11 141: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 1+x0^0<=2 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 11 142: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1<=x1^0 && 3<=x0^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 9 143: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1<=x1^0 && 1+x0^0<=2 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 9 145: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 5 Merged rules: Start location: l15 144: l12 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 4 49: l15 -> l12 : [], cost: 2 109: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 3 110: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, x2^0'=x1^0, [ 3<=x0^0 && 1<=x1^0 ], cost: 4 111: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, x2^0'=x1^0, [ 1+x0^0<=2 && 1<=x1^0 ], cost: 4 146: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1<=x1^0 && 3<=x0^0 ], cost: 6 147: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 1<=x1^0 && 1+x0^0<=2 ], cost: 6 152: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 8 153: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 8 162: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 3<=x0^0 && 1<=x1^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 9 163: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1+x0^0<=2 && 1<=x1^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 9 164: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 6 165: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 3<=x0^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 11 166: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 1+x0^0<=2 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 11 Applied pruning (of leafs and parallel rules): Start location: l15 144: l12 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 4 49: l15 -> l12 : [], cost: 2 109: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 3 111: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, x2^0'=x1^0, [ 1+x0^0<=2 && 1<=x1^0 ], cost: 4 152: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 8 153: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 8 Accelerating simple loops of location 12. Accelerating the following rules: 144: l12 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 4 Failed to prove monotonicity of the guard of rule 144. [accelerate] Nesting with 1 inner and 1 outer candidates Accelerated all simple loops using metering functions (where possible): Start location: l15 144: l12 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 4 49: l15 -> l12 : [], cost: 2 109: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 3 111: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, x2^0'=x1^0, [ 1+x0^0<=2 && 1<=x1^0 ], cost: 4 152: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 8 153: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 8 Chained accelerated rules (with incoming rules): Start location: l15 49: l15 -> l12 : [], cost: 2 109: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x2^0, [ 1<=x2^0 ], cost: 3 111: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, x2^0'=x1^0, [ 1+x0^0<=2 && 1<=x1^0 ], cost: 4 152: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 3<=x0^0 ], cost: 8 153: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=x1^0, oldX3^0'=oldX3^post_2, x2^0'=x1^0, [ 2<=x1^0 && 1+x0^0<=2 ], cost: 8 167: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 6 168: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1<=x2^0 && 0<=x2^0-2*oldX3^post_15 && 1+x2^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 7 169: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 1+x0^0<=2 && 1<=x1^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 8 170: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 3<=x0^0 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 12 171: l15 -> l12 : oldX0^0'=x0^0, oldX1^0'=x1^0, oldX2^0'=oldX3^post_15, oldX3^0'=oldX3^post_15, x2^0'=oldX3^post_15, [ 2<=x1^0 && 1+x0^0<=2 && 0<=x1^0-2*oldX3^post_15 && 1+x1^0-2*oldX3^post_15<=2 && 1<=oldX3^post_15 ], cost: 12 Removed unreachable locations (and leaf rules with constant cost): Start location: l15 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: l15 Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Constant Cpx degree: 0 Solved cost: 1 Rule cost: 1 Rule guard: [ oldX0^0==oldX0^post_41 && oldX1^0==oldX1^post_41 && oldX2^0==oldX2^post_41 && oldX3^0==oldX3^post_41 && oldX4^0==oldX4^post_41 && oldX5^0==oldX5^post_41 && oldX6^0==oldX6^post_41 && x0^0==x0^post_41 && x1^0==x1^post_41 && x2^0==x2^post_41 ] WORST_CASE(Omega(1),?)