WORST_CASE(Omega(0),?) Initial ITS Start location: l12 0: l0 -> l1 : oldX0^0'=oldX0^post0, oldX5^0'=oldX5^post0, oldX2^0'=oldX2^post0, x1^0'=x1^post0, oldX4^0'=oldX4^post0, oldX1^0'=oldX1^post0, x0^0'=x0^post0, oldX3^0'=oldX3^post0, x2^0'=x2^post0, (0 == 0 /\ -x1^0+oldX1^post0 == 0 /\ -oldX4^post0+oldX4^0 == 0 /\ oldX2^post0-x2^0 == 0 /\ 1+x2^post0-oldX2^post0 == 0 /\ x0^post0-oldX0^post0 == 0 /\ -x0^0+oldX0^post0 == 0 /\ oldX5^0-oldX5^post0 == 0 /\ -oldX3^post0+x1^post0-oldX1^post0 == 0), cost: 1 1: l1 -> l2 : oldX0^0'=oldX0^post1, oldX5^0'=oldX5^post1, oldX2^0'=oldX2^post1, x1^0'=x1^post1, oldX4^0'=oldX4^post1, oldX1^0'=oldX1^post1, x0^0'=x0^post1, oldX3^0'=oldX3^post1, x2^0'=x2^post1, (-oldX3^post1+oldX3^0 == 0 /\ oldX0^post1-x0^0 == 0 /\ oldX2^post1-x2^0 == 0 /\ oldX5^0-oldX5^post1 == 0 /\ -x1^0+oldX1^post1 == 0 /\ x1^post1-oldX1^post1 == 0 /\ 1+oldX2^post1 <= 0 /\ x0^post1-oldX0^post1 == 0 /\ -oldX4^post1+oldX4^0 == 0 /\ x2^post1-oldX2^post1 == 0), cost: 1 2: l1 -> l0 : oldX0^0'=oldX0^post2, oldX5^0'=oldX5^post2, oldX2^0'=oldX2^post2, x1^0'=x1^post2, oldX4^0'=oldX4^post2, oldX1^0'=oldX1^post2, x0^0'=x0^post2, oldX3^0'=oldX3^post2, x2^0'=x2^post2, (oldX5^0-oldX5^post2 == 0 /\ -oldX2^post2 <= 0 /\ x1^post2-oldX1^post2 == 0 /\ -oldX3^post2+oldX3^0 == 0 /\ oldX0^post2-x0^0 == 0 /\ x0^post2-oldX0^post2 == 0 /\ oldX2^post2-x2^0 == 0 /\ -oldX2^post2+x2^post2 == 0 /\ oldX4^0-oldX4^post2 == 0 /\ -x1^0+oldX1^post2 == 0), cost: 1 9: l2 -> l9 : oldX0^0'=oldX0^post9, oldX5^0'=oldX5^post9, oldX2^0'=oldX2^post9, x1^0'=x1^post9, oldX4^0'=oldX4^post9, oldX1^0'=oldX1^post9, x0^0'=x0^post9, oldX3^0'=oldX3^post9, x2^0'=x2^post9, (0 == 0 /\ oldX1^post9-x1^0 == 0 /\ -oldX5^post9+x2^post9 == 0 /\ -oldX4^post9+x1^post9 == 0 /\ oldX2^post9-x2^0 == 0 /\ -x0^0+oldX0^post9 == 0 /\ -oldX3^post9+x0^post9 == 0), cost: 1 3: l3 -> l1 : oldX0^0'=oldX0^post3, oldX5^0'=oldX5^post3, oldX2^0'=oldX2^post3, x1^0'=x1^post3, oldX4^0'=oldX4^post3, oldX1^0'=oldX1^post3, x0^0'=x0^post3, oldX3^0'=oldX3^post3, x2^0'=x2^post3, (oldX1^post3-x1^0 == 0 /\ oldX5^0-oldX5^post3 == 0 /\ -oldX3^post3+oldX3^0 == 0 /\ oldX0^post3-x0^0 == 0 /\ -oldX4^post3+oldX4^0 == 0 /\ x1^post3 == 0 /\ oldX2^post3-x2^0 == 0 /\ -oldX0^post3+x0^post3 == 0 /\ -oldX0^post3+x2^post3 == 0), cost: 1 4: l4 -> l5 : oldX0^0'=oldX0^post4, oldX5^0'=oldX5^post4, oldX2^0'=oldX2^post4, x1^0'=x1^post4, oldX4^0'=oldX4^post4, oldX1^0'=oldX1^post4, x0^0'=x0^post4, oldX3^0'=oldX3^post4, x2^0'=x2^post4, (0 == 0 /\ -oldX5^post4+x2^post4 == 0 /\ -x1^0+oldX1^post4 == 0 /\ -oldX4^post4+x1^post4 == 0 /\ oldX2^post4-x2^0 == 0 /\ -oldX3^post4+x0^post4 == 0 /\ -x0^0+oldX0^post4 == 0), cost: 1 5: l4 -> l6 : oldX0^0'=oldX0^post5, oldX5^0'=oldX5^post5, oldX2^0'=oldX2^post5, x1^0'=x1^post5, oldX4^0'=oldX4^post5, oldX1^0'=oldX1^post5, x0^0'=x0^post5, oldX3^0'=oldX3^post5, x2^0'=x2^post5, (0 == 0 /\ oldX2^post5-x2^0 == 0 /\ oldX5^0-oldX5^post5 == 0 /\ x1^post5-oldX3^post5 == 0 /\ -x1^0+oldX1^post5 == 0 /\ 1+x0^post5-oldX0^post5 == 0 /\ oldX0^post5-x0^0 == 0 /\ -oldX4^post5+x2^post5 == 0), cost: 1 10: l6 -> l8 : oldX0^0'=oldX0^post10, oldX5^0'=oldX5^post10, oldX2^0'=oldX2^post10, x1^0'=x1^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX1^post10, x0^0'=x0^post10, oldX3^0'=oldX3^post10, x2^0'=x2^post10, (0 == 0 /\ oldX5^0-oldX5^post10 == 0 /\ x2^post10-oldX4^post10 == 0 /\ oldX0^post10-x0^0 == 0 /\ x0^post10-oldX0^post10 == 0 /\ oldX2^post10-x2^0 == 0 /\ x1^post10-oldX3^post10 == 0 /\ -x1^0+oldX1^post10 == 0), cost: 1 6: l7 -> l5 : oldX0^0'=oldX0^post6, oldX5^0'=oldX5^post6, oldX2^0'=oldX2^post6, x1^0'=x1^post6, oldX4^0'=oldX4^post6, oldX1^0'=oldX1^post6, x0^0'=x0^post6, oldX3^0'=oldX3^post6, x2^0'=x2^post6, (0 == 0 /\ oldX2^post6-x2^0 == 0 /\ x0^post6-oldX3^post6 == 0 /\ -x1^0+oldX1^post6 == 0 /\ x1^post6-oldX4^post6 == 0 /\ oldX0^post6-x0^0 == 0 /\ x2^post6-oldX5^post6 == 0), cost: 1 7: l8 -> l4 : oldX0^0'=oldX0^post7, oldX5^0'=oldX5^post7, oldX2^0'=oldX2^post7, x1^0'=x1^post7, oldX4^0'=oldX4^post7, oldX1^0'=oldX1^post7, x0^0'=x0^post7, oldX3^0'=oldX3^post7, x2^0'=x2^post7, (0 == 0 /\ x1^post7-oldX3^post7 == 0 /\ -x1^0+oldX1^post7 == 0 /\ -oldX4^post7+x2^post7 == 0 /\ oldX2^post7-x2^0 == 0 /\ x0^post7-oldX0^post7 == 0 /\ oldX5^0-oldX5^post7 == 0 /\ 1-oldX0^post7 <= 0 /\ oldX0^post7-x0^0 == 0), cost: 1 8: l8 -> l7 : oldX0^0'=oldX0^post8, oldX5^0'=oldX5^post8, oldX2^0'=oldX2^post8, x1^0'=x1^post8, oldX4^0'=oldX4^post8, oldX1^0'=oldX1^post8, x0^0'=x0^post8, oldX3^0'=oldX3^post8, x2^0'=x2^post8, (0 == 0 /\ oldX0^post8-x0^0 == 0 /\ oldX0^post8 <= 0 /\ oldX2^post8-x2^0 == 0 /\ -oldX4^post8+x2^post8 == 0 /\ -oldX3^post8+x1^post8 == 0 /\ oldX5^0-oldX5^post8 == 0 /\ -oldX0^post8+x0^post8 == 0 /\ oldX1^post8-x1^0 == 0), cost: 1 11: l10 -> l11 : oldX0^0'=oldX0^post11, oldX5^0'=oldX5^post11, oldX2^0'=oldX2^post11, x1^0'=x1^post11, oldX4^0'=oldX4^post11, oldX1^0'=oldX1^post11, x0^0'=x0^post11, oldX3^0'=oldX3^post11, x2^0'=x2^post11, (0 == 0 /\ -oldX5^post11+x2^post11 == 0 /\ -x1^0+oldX1^post11 == 0 /\ x1^post11-oldX4^post11 == 0 /\ oldX0^post11-x0^0 == 0 /\ oldX2^post11-x2^0 == 0 /\ -oldX3^post11+x0^post11 == 0), cost: 1 12: l10 -> l3 : oldX0^0'=oldX0^post12, oldX5^0'=oldX5^post12, oldX2^0'=oldX2^post12, x1^0'=x1^post12, oldX4^0'=oldX4^post12, oldX1^0'=oldX1^post12, x0^0'=x0^post12, oldX3^0'=oldX3^post12, x2^0'=x2^post12, (0 == 0 /\ oldX5^0-oldX5^post12 == 0 /\ oldX1^post12-x1^0 == 0 /\ -oldX3^post12+x1^post12 == 0 /\ -x2^0+oldX2^post12 == 0 /\ oldX0^post12-x0^0 == 0 /\ -oldX0^post12+x0^post12 == 0 /\ -oldX4^post12+x2^post12 == 0), cost: 1 13: l10 -> l0 : oldX0^0'=oldX0^post13, oldX5^0'=oldX5^post13, oldX2^0'=oldX2^post13, x1^0'=x1^post13, oldX4^0'=oldX4^post13, oldX1^0'=oldX1^post13, x0^0'=x0^post13, oldX3^0'=oldX3^post13, x2^0'=x2^post13, (oldX5^0-oldX5^post13 == 0 /\ x0^0-x0^post13 == 0 /\ oldX1^0-oldX1^post13 == 0 /\ -oldX4^post13+oldX4^0 == 0 /\ x1^0-x1^post13 == 0 /\ -oldX3^post13+oldX3^0 == 0 /\ -x2^post13+x2^0 == 0 /\ oldX2^0-oldX2^post13 == 0 /\ oldX0^0-oldX0^post13 == 0), cost: 1 14: l10 -> l1 : oldX0^0'=oldX0^post14, oldX5^0'=oldX5^post14, oldX2^0'=oldX2^post14, x1^0'=x1^post14, oldX4^0'=oldX4^post14, oldX1^0'=oldX1^post14, x0^0'=x0^post14, oldX3^0'=oldX3^post14, x2^0'=x2^post14, (oldX0^0-oldX0^post14 == 0 /\ oldX1^0-oldX1^post14 == 0 /\ -oldX4^post14+oldX4^0 == 0 /\ -x2^post14+x2^0 == 0 /\ x1^0-x1^post14 == 0 /\ oldX2^0-oldX2^post14 == 0 /\ -oldX3^post14+oldX3^0 == 0 /\ oldX5^0-oldX5^post14 == 0 /\ -x0^post14+x0^0 == 0), cost: 1 15: l10 -> l3 : oldX0^0'=oldX0^post15, oldX5^0'=oldX5^post15, oldX2^0'=oldX2^post15, x1^0'=x1^post15, oldX4^0'=oldX4^post15, oldX1^0'=oldX1^post15, x0^0'=x0^post15, oldX3^0'=oldX3^post15, x2^0'=x2^post15, (oldX2^0-oldX2^post15 == 0 /\ -oldX4^post15+oldX4^0 == 0 /\ oldX5^0-oldX5^post15 == 0 /\ x1^0-x1^post15 == 0 /\ oldX3^0-oldX3^post15 == 0 /\ -x2^post15+x2^0 == 0 /\ oldX1^0-oldX1^post15 == 0 /\ oldX0^0-oldX0^post15 == 0 /\ -x0^post15+x0^0 == 0), cost: 1 16: l10 -> l5 : oldX0^0'=oldX0^post16, oldX5^0'=oldX5^post16, oldX2^0'=oldX2^post16, x1^0'=x1^post16, oldX4^0'=oldX4^post16, oldX1^0'=oldX1^post16, x0^0'=x0^post16, oldX3^0'=oldX3^post16, x2^0'=x2^post16, (-oldX3^post16+oldX3^0 == 0 /\ oldX0^0-oldX0^post16 == 0 /\ -x2^post16+x2^0 == 0 /\ -oldX1^post16+oldX1^0 == 0 /\ -x0^post16+x0^0 == 0 /\ -x1^post16+x1^0 == 0 /\ oldX4^0-oldX4^post16 == 0 /\ oldX2^0-oldX2^post16 == 0 /\ oldX5^0-oldX5^post16 == 0), cost: 1 17: l10 -> l4 : oldX0^0'=oldX0^post17, oldX5^0'=oldX5^post17, oldX2^0'=oldX2^post17, x1^0'=x1^post17, oldX4^0'=oldX4^post17, oldX1^0'=oldX1^post17, x0^0'=x0^post17, oldX3^0'=oldX3^post17, x2^0'=x2^post17, (-x2^post17+x2^0 == 0 /\ oldX0^0-oldX0^post17 == 0 /\ oldX5^0-oldX5^post17 == 0 /\ -oldX3^post17+oldX3^0 == 0 /\ -x0^post17+x0^0 == 0 /\ -oldX1^post17+oldX1^0 == 0 /\ x1^0-x1^post17 == 0 /\ oldX2^0-oldX2^post17 == 0 /\ -oldX4^post17+oldX4^0 == 0), cost: 1 18: l10 -> l7 : oldX0^0'=oldX0^post18, oldX5^0'=oldX5^post18, oldX2^0'=oldX2^post18, x1^0'=x1^post18, oldX4^0'=oldX4^post18, oldX1^0'=oldX1^post18, x0^0'=x0^post18, oldX3^0'=oldX3^post18, x2^0'=x2^post18, (oldX1^0-oldX1^post18 == 0 /\ -x2^post18+x2^0 == 0 /\ x1^0-x1^post18 == 0 /\ oldX2^0-oldX2^post18 == 0 /\ -oldX3^post18+oldX3^0 == 0 /\ -x0^post18+x0^0 == 0 /\ oldX0^0-oldX0^post18 == 0 /\ -oldX4^post18+oldX4^0 == 0 /\ -oldX5^post18+oldX5^0 == 0), cost: 1 19: l10 -> l8 : oldX0^0'=oldX0^post19, oldX5^0'=oldX5^post19, oldX2^0'=oldX2^post19, x1^0'=x1^post19, oldX4^0'=oldX4^post19, oldX1^0'=oldX1^post19, x0^0'=x0^post19, oldX3^0'=oldX3^post19, x2^0'=x2^post19, (-x0^post19+x0^0 == 0 /\ -x1^post19+x1^0 == 0 /\ oldX5^0-oldX5^post19 == 0 /\ oldX3^0-oldX3^post19 == 0 /\ -x2^post19+x2^0 == 0 /\ -oldX1^post19+oldX1^0 == 0 /\ oldX0^0-oldX0^post19 == 0 /\ oldX4^0-oldX4^post19 == 0 /\ oldX2^0-oldX2^post19 == 0), cost: 1 20: l10 -> l11 : oldX0^0'=oldX0^post20, oldX5^0'=oldX5^post20, oldX2^0'=oldX2^post20, x1^0'=x1^post20, oldX4^0'=oldX4^post20, oldX1^0'=oldX1^post20, x0^0'=x0^post20, oldX3^0'=oldX3^post20, x2^0'=x2^post20, (oldX5^0-oldX5^post20 == 0 /\ -x1^post20+x1^0 == 0 /\ oldX4^0-oldX4^post20 == 0 /\ -oldX3^post20+oldX3^0 == 0 /\ -x2^post20+x2^0 == 0 /\ x0^0-x0^post20 == 0 /\ oldX0^0-oldX0^post20 == 0 /\ -oldX1^post20+oldX1^0 == 0 /\ oldX2^0-oldX2^post20 == 0), cost: 1 21: l10 -> l9 : oldX0^0'=oldX0^post21, oldX5^0'=oldX5^post21, oldX2^0'=oldX2^post21, x1^0'=x1^post21, oldX4^0'=oldX4^post21, oldX1^0'=oldX1^post21, x0^0'=x0^post21, oldX3^0'=oldX3^post21, x2^0'=x2^post21, (-oldX2^post21+oldX2^0 == 0 /\ -x1^post21+x1^0 == 0 /\ oldX0^0-oldX0^post21 == 0 /\ oldX4^0-oldX4^post21 == 0 /\ -oldX3^post21+oldX3^0 == 0 /\ oldX5^0-oldX5^post21 == 0 /\ x0^0-x0^post21 == 0 /\ -x2^post21+x2^0 == 0 /\ -oldX1^post21+oldX1^0 == 0), cost: 1 22: l10 -> l2 : oldX0^0'=oldX0^post22, oldX5^0'=oldX5^post22, oldX2^0'=oldX2^post22, x1^0'=x1^post22, oldX4^0'=oldX4^post22, oldX1^0'=oldX1^post22, x0^0'=x0^post22, oldX3^0'=oldX3^post22, x2^0'=x2^post22, (x1^0-x1^post22 == 0 /\ -oldX1^post22+oldX1^0 == 0 /\ oldX4^0-oldX4^post22 == 0 /\ oldX5^0-oldX5^post22 == 0 /\ -x2^post22+x2^0 == 0 /\ x0^0-x0^post22 == 0 /\ oldX0^0-oldX0^post22 == 0 /\ -oldX3^post22+oldX3^0 == 0 /\ -oldX2^post22+oldX2^0 == 0), cost: 1 23: l10 -> l6 : oldX0^0'=oldX0^post23, oldX5^0'=oldX5^post23, oldX2^0'=oldX2^post23, x1^0'=x1^post23, oldX4^0'=oldX4^post23, oldX1^0'=oldX1^post23, x0^0'=x0^post23, oldX3^0'=oldX3^post23, x2^0'=x2^post23, (-oldX4^post23+oldX4^0 == 0 /\ oldX1^0-oldX1^post23 == 0 /\ oldX0^0-oldX0^post23 == 0 /\ oldX2^0-oldX2^post23 == 0 /\ -x2^post23+x2^0 == 0 /\ oldX5^0-oldX5^post23 == 0 /\ -oldX3^post23+oldX3^0 == 0 /\ -x0^post23+x0^0 == 0 /\ x1^0-x1^post23 == 0), cost: 1 24: l12 -> l10 : oldX0^0'=oldX0^post24, oldX5^0'=oldX5^post24, oldX2^0'=oldX2^post24, x1^0'=x1^post24, oldX4^0'=oldX4^post24, oldX1^0'=oldX1^post24, x0^0'=x0^post24, oldX3^0'=oldX3^post24, x2^0'=x2^post24, (-oldX3^post24+oldX3^0 == 0 /\ -oldX4^post24+oldX4^0 == 0 /\ oldX0^0-oldX0^post24 == 0 /\ -x2^post24+x2^0 == 0 /\ -oldX1^post24+oldX1^0 == 0 /\ oldX2^0-oldX2^post24 == 0 /\ -x0^post24+x0^0 == 0 /\ -x1^post24+x1^0 == 0 /\ oldX5^0-oldX5^post24 == 0), cost: 1 Removed unreachable rules and leafs Start location: l12 0: l0 -> l1 : oldX0^0'=oldX0^post0, oldX5^0'=oldX5^post0, oldX2^0'=oldX2^post0, x1^0'=x1^post0, oldX4^0'=oldX4^post0, oldX1^0'=oldX1^post0, x0^0'=x0^post0, oldX3^0'=oldX3^post0, x2^0'=x2^post0, (0 == 0 /\ -x1^0+oldX1^post0 == 0 /\ -oldX4^post0+oldX4^0 == 0 /\ oldX2^post0-x2^0 == 0 /\ 1+x2^post0-oldX2^post0 == 0 /\ x0^post0-oldX0^post0 == 0 /\ -x0^0+oldX0^post0 == 0 /\ oldX5^0-oldX5^post0 == 0 /\ -oldX3^post0+x1^post0-oldX1^post0 == 0), cost: 1 2: l1 -> l0 : oldX0^0'=oldX0^post2, oldX5^0'=oldX5^post2, oldX2^0'=oldX2^post2, x1^0'=x1^post2, oldX4^0'=oldX4^post2, oldX1^0'=oldX1^post2, x0^0'=x0^post2, oldX3^0'=oldX3^post2, x2^0'=x2^post2, (oldX5^0-oldX5^post2 == 0 /\ -oldX2^post2 <= 0 /\ x1^post2-oldX1^post2 == 0 /\ -oldX3^post2+oldX3^0 == 0 /\ oldX0^post2-x0^0 == 0 /\ x0^post2-oldX0^post2 == 0 /\ oldX2^post2-x2^0 == 0 /\ -oldX2^post2+x2^post2 == 0 /\ oldX4^0-oldX4^post2 == 0 /\ -x1^0+oldX1^post2 == 0), cost: 1 3: l3 -> l1 : oldX0^0'=oldX0^post3, oldX5^0'=oldX5^post3, oldX2^0'=oldX2^post3, x1^0'=x1^post3, oldX4^0'=oldX4^post3, oldX1^0'=oldX1^post3, x0^0'=x0^post3, oldX3^0'=oldX3^post3, x2^0'=x2^post3, (oldX1^post3-x1^0 == 0 /\ oldX5^0-oldX5^post3 == 0 /\ -oldX3^post3+oldX3^0 == 0 /\ oldX0^post3-x0^0 == 0 /\ -oldX4^post3+oldX4^0 == 0 /\ x1^post3 == 0 /\ oldX2^post3-x2^0 == 0 /\ -oldX0^post3+x0^post3 == 0 /\ -oldX0^post3+x2^post3 == 0), cost: 1 5: l4 -> l6 : oldX0^0'=oldX0^post5, oldX5^0'=oldX5^post5, oldX2^0'=oldX2^post5, x1^0'=x1^post5, oldX4^0'=oldX4^post5, oldX1^0'=oldX1^post5, x0^0'=x0^post5, oldX3^0'=oldX3^post5, x2^0'=x2^post5, (0 == 0 /\ oldX2^post5-x2^0 == 0 /\ oldX5^0-oldX5^post5 == 0 /\ x1^post5-oldX3^post5 == 0 /\ -x1^0+oldX1^post5 == 0 /\ 1+x0^post5-oldX0^post5 == 0 /\ oldX0^post5-x0^0 == 0 /\ -oldX4^post5+x2^post5 == 0), cost: 1 10: l6 -> l8 : oldX0^0'=oldX0^post10, oldX5^0'=oldX5^post10, oldX2^0'=oldX2^post10, x1^0'=x1^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX1^post10, x0^0'=x0^post10, oldX3^0'=oldX3^post10, x2^0'=x2^post10, (0 == 0 /\ oldX5^0-oldX5^post10 == 0 /\ x2^post10-oldX4^post10 == 0 /\ oldX0^post10-x0^0 == 0 /\ x0^post10-oldX0^post10 == 0 /\ oldX2^post10-x2^0 == 0 /\ x1^post10-oldX3^post10 == 0 /\ -x1^0+oldX1^post10 == 0), cost: 1 7: l8 -> l4 : oldX0^0'=oldX0^post7, oldX5^0'=oldX5^post7, oldX2^0'=oldX2^post7, x1^0'=x1^post7, oldX4^0'=oldX4^post7, oldX1^0'=oldX1^post7, x0^0'=x0^post7, oldX3^0'=oldX3^post7, x2^0'=x2^post7, (0 == 0 /\ x1^post7-oldX3^post7 == 0 /\ -x1^0+oldX1^post7 == 0 /\ -oldX4^post7+x2^post7 == 0 /\ oldX2^post7-x2^0 == 0 /\ x0^post7-oldX0^post7 == 0 /\ oldX5^0-oldX5^post7 == 0 /\ 1-oldX0^post7 <= 0 /\ oldX0^post7-x0^0 == 0), cost: 1 12: l10 -> l3 : oldX0^0'=oldX0^post12, oldX5^0'=oldX5^post12, oldX2^0'=oldX2^post12, x1^0'=x1^post12, oldX4^0'=oldX4^post12, oldX1^0'=oldX1^post12, x0^0'=x0^post12, oldX3^0'=oldX3^post12, x2^0'=x2^post12, (0 == 0 /\ oldX5^0-oldX5^post12 == 0 /\ oldX1^post12-x1^0 == 0 /\ -oldX3^post12+x1^post12 == 0 /\ -x2^0+oldX2^post12 == 0 /\ oldX0^post12-x0^0 == 0 /\ -oldX0^post12+x0^post12 == 0 /\ -oldX4^post12+x2^post12 == 0), cost: 1 13: l10 -> l0 : oldX0^0'=oldX0^post13, oldX5^0'=oldX5^post13, oldX2^0'=oldX2^post13, x1^0'=x1^post13, oldX4^0'=oldX4^post13, oldX1^0'=oldX1^post13, x0^0'=x0^post13, oldX3^0'=oldX3^post13, x2^0'=x2^post13, (oldX5^0-oldX5^post13 == 0 /\ x0^0-x0^post13 == 0 /\ oldX1^0-oldX1^post13 == 0 /\ -oldX4^post13+oldX4^0 == 0 /\ x1^0-x1^post13 == 0 /\ -oldX3^post13+oldX3^0 == 0 /\ -x2^post13+x2^0 == 0 /\ oldX2^0-oldX2^post13 == 0 /\ oldX0^0-oldX0^post13 == 0), cost: 1 14: l10 -> l1 : oldX0^0'=oldX0^post14, oldX5^0'=oldX5^post14, oldX2^0'=oldX2^post14, x1^0'=x1^post14, oldX4^0'=oldX4^post14, oldX1^0'=oldX1^post14, x0^0'=x0^post14, oldX3^0'=oldX3^post14, x2^0'=x2^post14, (oldX0^0-oldX0^post14 == 0 /\ oldX1^0-oldX1^post14 == 0 /\ -oldX4^post14+oldX4^0 == 0 /\ -x2^post14+x2^0 == 0 /\ x1^0-x1^post14 == 0 /\ oldX2^0-oldX2^post14 == 0 /\ -oldX3^post14+oldX3^0 == 0 /\ oldX5^0-oldX5^post14 == 0 /\ -x0^post14+x0^0 == 0), cost: 1 15: l10 -> l3 : oldX0^0'=oldX0^post15, oldX5^0'=oldX5^post15, oldX2^0'=oldX2^post15, x1^0'=x1^post15, oldX4^0'=oldX4^post15, oldX1^0'=oldX1^post15, x0^0'=x0^post15, oldX3^0'=oldX3^post15, x2^0'=x2^post15, (oldX2^0-oldX2^post15 == 0 /\ -oldX4^post15+oldX4^0 == 0 /\ oldX5^0-oldX5^post15 == 0 /\ x1^0-x1^post15 == 0 /\ oldX3^0-oldX3^post15 == 0 /\ -x2^post15+x2^0 == 0 /\ oldX1^0-oldX1^post15 == 0 /\ oldX0^0-oldX0^post15 == 0 /\ -x0^post15+x0^0 == 0), cost: 1 17: l10 -> l4 : oldX0^0'=oldX0^post17, oldX5^0'=oldX5^post17, oldX2^0'=oldX2^post17, x1^0'=x1^post17, oldX4^0'=oldX4^post17, oldX1^0'=oldX1^post17, x0^0'=x0^post17, oldX3^0'=oldX3^post17, x2^0'=x2^post17, (-x2^post17+x2^0 == 0 /\ oldX0^0-oldX0^post17 == 0 /\ oldX5^0-oldX5^post17 == 0 /\ -oldX3^post17+oldX3^0 == 0 /\ -x0^post17+x0^0 == 0 /\ -oldX1^post17+oldX1^0 == 0 /\ x1^0-x1^post17 == 0 /\ oldX2^0-oldX2^post17 == 0 /\ -oldX4^post17+oldX4^0 == 0), cost: 1 19: l10 -> l8 : oldX0^0'=oldX0^post19, oldX5^0'=oldX5^post19, oldX2^0'=oldX2^post19, x1^0'=x1^post19, oldX4^0'=oldX4^post19, oldX1^0'=oldX1^post19, x0^0'=x0^post19, oldX3^0'=oldX3^post19, x2^0'=x2^post19, (-x0^post19+x0^0 == 0 /\ -x1^post19+x1^0 == 0 /\ oldX5^0-oldX5^post19 == 0 /\ oldX3^0-oldX3^post19 == 0 /\ -x2^post19+x2^0 == 0 /\ -oldX1^post19+oldX1^0 == 0 /\ oldX0^0-oldX0^post19 == 0 /\ oldX4^0-oldX4^post19 == 0 /\ oldX2^0-oldX2^post19 == 0), cost: 1 23: l10 -> l6 : oldX0^0'=oldX0^post23, oldX5^0'=oldX5^post23, oldX2^0'=oldX2^post23, x1^0'=x1^post23, oldX4^0'=oldX4^post23, oldX1^0'=oldX1^post23, x0^0'=x0^post23, oldX3^0'=oldX3^post23, x2^0'=x2^post23, (-oldX4^post23+oldX4^0 == 0 /\ oldX1^0-oldX1^post23 == 0 /\ oldX0^0-oldX0^post23 == 0 /\ oldX2^0-oldX2^post23 == 0 /\ -x2^post23+x2^0 == 0 /\ oldX5^0-oldX5^post23 == 0 /\ -oldX3^post23+oldX3^0 == 0 /\ -x0^post23+x0^0 == 0 /\ x1^0-x1^post23 == 0), cost: 1 24: l12 -> l10 : oldX0^0'=oldX0^post24, oldX5^0'=oldX5^post24, oldX2^0'=oldX2^post24, x1^0'=x1^post24, oldX4^0'=oldX4^post24, oldX1^0'=oldX1^post24, x0^0'=x0^post24, oldX3^0'=oldX3^post24, x2^0'=x2^post24, (-oldX3^post24+oldX3^0 == 0 /\ -oldX4^post24+oldX4^0 == 0 /\ oldX0^0-oldX0^post24 == 0 /\ -x2^post24+x2^0 == 0 /\ -oldX1^post24+oldX1^0 == 0 /\ oldX2^0-oldX2^post24 == 0 /\ -x0^post24+x0^0 == 0 /\ -x1^post24+x1^0 == 0 /\ oldX5^0-oldX5^post24 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : oldX0^0'=oldX0^post0, oldX5^0'=oldX5^post0, oldX2^0'=oldX2^post0, x1^0'=x1^post0, oldX4^0'=oldX4^post0, oldX1^0'=oldX1^post0, x0^0'=x0^post0, oldX3^0'=oldX3^post0, x2^0'=x2^post0, (0 == 0 /\ -x1^0+oldX1^post0 == 0 /\ -oldX4^post0+oldX4^0 == 0 /\ oldX2^post0-x2^0 == 0 /\ 1+x2^post0-oldX2^post0 == 0 /\ x0^post0-oldX0^post0 == 0 /\ -x0^0+oldX0^post0 == 0 /\ oldX5^0-oldX5^post0 == 0 /\ -oldX3^post0+x1^post0-oldX1^post0 == 0), cost: 1 New rule: l0 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post0, oldX1^0'=x1^0, oldX3^0'=-x1^0+x1^post0, x2^0'=-1+x2^0, 0 == 0, cost: 1 Applied preprocessing Original rule: l1 -> l0 : oldX0^0'=oldX0^post2, oldX5^0'=oldX5^post2, oldX2^0'=oldX2^post2, x1^0'=x1^post2, oldX4^0'=oldX4^post2, oldX1^0'=oldX1^post2, x0^0'=x0^post2, oldX3^0'=oldX3^post2, x2^0'=x2^post2, (oldX5^0-oldX5^post2 == 0 /\ -oldX2^post2 <= 0 /\ x1^post2-oldX1^post2 == 0 /\ -oldX3^post2+oldX3^0 == 0 /\ oldX0^post2-x0^0 == 0 /\ x0^post2-oldX0^post2 == 0 /\ oldX2^post2-x2^0 == 0 /\ -oldX2^post2+x2^post2 == 0 /\ oldX4^0-oldX4^post2 == 0 /\ -x1^0+oldX1^post2 == 0), cost: 1 New rule: l1 -> l0 : oldX0^0'=x0^0, oldX2^0'=x2^0, oldX1^0'=x1^0, x2^0 >= 0, cost: 1 Applied preprocessing Original rule: l3 -> l1 : oldX0^0'=oldX0^post3, oldX5^0'=oldX5^post3, oldX2^0'=oldX2^post3, x1^0'=x1^post3, oldX4^0'=oldX4^post3, oldX1^0'=oldX1^post3, x0^0'=x0^post3, oldX3^0'=oldX3^post3, x2^0'=x2^post3, (oldX1^post3-x1^0 == 0 /\ oldX5^0-oldX5^post3 == 0 /\ -oldX3^post3+oldX3^0 == 0 /\ oldX0^post3-x0^0 == 0 /\ -oldX4^post3+oldX4^0 == 0 /\ x1^post3 == 0 /\ oldX2^post3-x2^0 == 0 /\ -oldX0^post3+x0^post3 == 0 /\ -oldX0^post3+x2^post3 == 0), cost: 1 New rule: l3 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=0, oldX1^0'=x1^0, x2^0'=x0^0, TRUE, cost: 1 Applied preprocessing Original rule: l4 -> l6 : oldX0^0'=oldX0^post5, oldX5^0'=oldX5^post5, oldX2^0'=oldX2^post5, x1^0'=x1^post5, oldX4^0'=oldX4^post5, oldX1^0'=oldX1^post5, x0^0'=x0^post5, oldX3^0'=oldX3^post5, x2^0'=x2^post5, (0 == 0 /\ oldX2^post5-x2^0 == 0 /\ oldX5^0-oldX5^post5 == 0 /\ x1^post5-oldX3^post5 == 0 /\ -x1^0+oldX1^post5 == 0 /\ 1+x0^post5-oldX0^post5 == 0 /\ oldX0^post5-x0^0 == 0 /\ -oldX4^post5+x2^post5 == 0), cost: 1 New rule: l4 -> l6 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post5, oldX4^0'=x2^post5, oldX1^0'=x1^0, x0^0'=-1+x0^0, oldX3^0'=oldX3^post5, x2^0'=x2^post5, 0 == 0, cost: 1 Applied preprocessing Original rule: l8 -> l4 : oldX0^0'=oldX0^post7, oldX5^0'=oldX5^post7, oldX2^0'=oldX2^post7, x1^0'=x1^post7, oldX4^0'=oldX4^post7, oldX1^0'=oldX1^post7, x0^0'=x0^post7, oldX3^0'=oldX3^post7, x2^0'=x2^post7, (0 == 0 /\ x1^post7-oldX3^post7 == 0 /\ -x1^0+oldX1^post7 == 0 /\ -oldX4^post7+x2^post7 == 0 /\ oldX2^post7-x2^0 == 0 /\ x0^post7-oldX0^post7 == 0 /\ oldX5^0-oldX5^post7 == 0 /\ 1-oldX0^post7 <= 0 /\ oldX0^post7-x0^0 == 0), cost: 1 New rule: l8 -> l4 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post7, oldX4^0'=x2^post7, oldX1^0'=x1^0, oldX3^0'=oldX3^post7, x2^0'=x2^post7, -1+x0^0 >= 0, cost: 1 Applied preprocessing Original rule: l6 -> l8 : oldX0^0'=oldX0^post10, oldX5^0'=oldX5^post10, oldX2^0'=oldX2^post10, x1^0'=x1^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX1^post10, x0^0'=x0^post10, oldX3^0'=oldX3^post10, x2^0'=x2^post10, (0 == 0 /\ oldX5^0-oldX5^post10 == 0 /\ x2^post10-oldX4^post10 == 0 /\ oldX0^post10-x0^0 == 0 /\ x0^post10-oldX0^post10 == 0 /\ oldX2^post10-x2^0 == 0 /\ x1^post10-oldX3^post10 == 0 /\ -x1^0+oldX1^post10 == 0), cost: 1 New rule: l6 -> l8 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=x1^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 1 Applied preprocessing Original rule: l10 -> l3 : oldX0^0'=oldX0^post12, oldX5^0'=oldX5^post12, oldX2^0'=oldX2^post12, x1^0'=x1^post12, oldX4^0'=oldX4^post12, oldX1^0'=oldX1^post12, x0^0'=x0^post12, oldX3^0'=oldX3^post12, x2^0'=x2^post12, (0 == 0 /\ oldX5^0-oldX5^post12 == 0 /\ oldX1^post12-x1^0 == 0 /\ -oldX3^post12+x1^post12 == 0 /\ -x2^0+oldX2^post12 == 0 /\ oldX0^post12-x0^0 == 0 /\ -oldX0^post12+x0^post12 == 0 /\ -oldX4^post12+x2^post12 == 0), cost: 1 New rule: l10 -> l3 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post12, oldX4^0'=x2^post12, oldX1^0'=x1^0, oldX3^0'=x1^post12, x2^0'=x2^post12, 0 == 0, cost: 1 Applied preprocessing Original rule: l10 -> l0 : oldX0^0'=oldX0^post13, oldX5^0'=oldX5^post13, oldX2^0'=oldX2^post13, x1^0'=x1^post13, oldX4^0'=oldX4^post13, oldX1^0'=oldX1^post13, x0^0'=x0^post13, oldX3^0'=oldX3^post13, x2^0'=x2^post13, (oldX5^0-oldX5^post13 == 0 /\ x0^0-x0^post13 == 0 /\ oldX1^0-oldX1^post13 == 0 /\ -oldX4^post13+oldX4^0 == 0 /\ x1^0-x1^post13 == 0 /\ -oldX3^post13+oldX3^0 == 0 /\ -x2^post13+x2^0 == 0 /\ oldX2^0-oldX2^post13 == 0 /\ oldX0^0-oldX0^post13 == 0), cost: 1 New rule: l10 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l1 : oldX0^0'=oldX0^post14, oldX5^0'=oldX5^post14, oldX2^0'=oldX2^post14, x1^0'=x1^post14, oldX4^0'=oldX4^post14, oldX1^0'=oldX1^post14, x0^0'=x0^post14, oldX3^0'=oldX3^post14, x2^0'=x2^post14, (oldX0^0-oldX0^post14 == 0 /\ oldX1^0-oldX1^post14 == 0 /\ -oldX4^post14+oldX4^0 == 0 /\ -x2^post14+x2^0 == 0 /\ x1^0-x1^post14 == 0 /\ oldX2^0-oldX2^post14 == 0 /\ -oldX3^post14+oldX3^0 == 0 /\ oldX5^0-oldX5^post14 == 0 /\ -x0^post14+x0^0 == 0), cost: 1 New rule: l10 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l3 : oldX0^0'=oldX0^post15, oldX5^0'=oldX5^post15, oldX2^0'=oldX2^post15, x1^0'=x1^post15, oldX4^0'=oldX4^post15, oldX1^0'=oldX1^post15, x0^0'=x0^post15, oldX3^0'=oldX3^post15, x2^0'=x2^post15, (oldX2^0-oldX2^post15 == 0 /\ -oldX4^post15+oldX4^0 == 0 /\ oldX5^0-oldX5^post15 == 0 /\ x1^0-x1^post15 == 0 /\ oldX3^0-oldX3^post15 == 0 /\ -x2^post15+x2^0 == 0 /\ oldX1^0-oldX1^post15 == 0 /\ oldX0^0-oldX0^post15 == 0 /\ -x0^post15+x0^0 == 0), cost: 1 New rule: l10 -> l3 : TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l4 : oldX0^0'=oldX0^post17, oldX5^0'=oldX5^post17, oldX2^0'=oldX2^post17, x1^0'=x1^post17, oldX4^0'=oldX4^post17, oldX1^0'=oldX1^post17, x0^0'=x0^post17, oldX3^0'=oldX3^post17, x2^0'=x2^post17, (-x2^post17+x2^0 == 0 /\ oldX0^0-oldX0^post17 == 0 /\ oldX5^0-oldX5^post17 == 0 /\ -oldX3^post17+oldX3^0 == 0 /\ -x0^post17+x0^0 == 0 /\ -oldX1^post17+oldX1^0 == 0 /\ x1^0-x1^post17 == 0 /\ oldX2^0-oldX2^post17 == 0 /\ -oldX4^post17+oldX4^0 == 0), cost: 1 New rule: l10 -> l4 : TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l8 : oldX0^0'=oldX0^post19, oldX5^0'=oldX5^post19, oldX2^0'=oldX2^post19, x1^0'=x1^post19, oldX4^0'=oldX4^post19, oldX1^0'=oldX1^post19, x0^0'=x0^post19, oldX3^0'=oldX3^post19, x2^0'=x2^post19, (-x0^post19+x0^0 == 0 /\ -x1^post19+x1^0 == 0 /\ oldX5^0-oldX5^post19 == 0 /\ oldX3^0-oldX3^post19 == 0 /\ -x2^post19+x2^0 == 0 /\ -oldX1^post19+oldX1^0 == 0 /\ oldX0^0-oldX0^post19 == 0 /\ oldX4^0-oldX4^post19 == 0 /\ oldX2^0-oldX2^post19 == 0), cost: 1 New rule: l10 -> l8 : TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l6 : oldX0^0'=oldX0^post23, oldX5^0'=oldX5^post23, oldX2^0'=oldX2^post23, x1^0'=x1^post23, oldX4^0'=oldX4^post23, oldX1^0'=oldX1^post23, x0^0'=x0^post23, oldX3^0'=oldX3^post23, x2^0'=x2^post23, (-oldX4^post23+oldX4^0 == 0 /\ oldX1^0-oldX1^post23 == 0 /\ oldX0^0-oldX0^post23 == 0 /\ oldX2^0-oldX2^post23 == 0 /\ -x2^post23+x2^0 == 0 /\ oldX5^0-oldX5^post23 == 0 /\ -oldX3^post23+oldX3^0 == 0 /\ -x0^post23+x0^0 == 0 /\ x1^0-x1^post23 == 0), cost: 1 New rule: l10 -> l6 : TRUE, cost: 1 Applied preprocessing Original rule: l12 -> l10 : oldX0^0'=oldX0^post24, oldX5^0'=oldX5^post24, oldX2^0'=oldX2^post24, x1^0'=x1^post24, oldX4^0'=oldX4^post24, oldX1^0'=oldX1^post24, x0^0'=x0^post24, oldX3^0'=oldX3^post24, x2^0'=x2^post24, (-oldX3^post24+oldX3^0 == 0 /\ -oldX4^post24+oldX4^0 == 0 /\ oldX0^0-oldX0^post24 == 0 /\ -x2^post24+x2^0 == 0 /\ -oldX1^post24+oldX1^0 == 0 /\ oldX2^0-oldX2^post24 == 0 /\ -x0^post24+x0^0 == 0 /\ -x1^post24+x1^0 == 0 /\ oldX5^0-oldX5^post24 == 0), cost: 1 New rule: l12 -> l10 : TRUE, cost: 1 Simplified rules Start location: l12 25: l0 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post0, oldX1^0'=x1^0, oldX3^0'=-x1^0+x1^post0, x2^0'=-1+x2^0, 0 == 0, cost: 1 26: l1 -> l0 : oldX0^0'=x0^0, oldX2^0'=x2^0, oldX1^0'=x1^0, x2^0 >= 0, cost: 1 27: l3 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=0, oldX1^0'=x1^0, x2^0'=x0^0, TRUE, cost: 1 28: l4 -> l6 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post5, oldX4^0'=x2^post5, oldX1^0'=x1^0, x0^0'=-1+x0^0, oldX3^0'=oldX3^post5, x2^0'=x2^post5, 0 == 0, cost: 1 30: l6 -> l8 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=x1^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 1 29: l8 -> l4 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post7, oldX4^0'=x2^post7, oldX1^0'=x1^0, oldX3^0'=oldX3^post7, x2^0'=x2^post7, -1+x0^0 >= 0, cost: 1 31: l10 -> l3 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post12, oldX4^0'=x2^post12, oldX1^0'=x1^0, oldX3^0'=x1^post12, x2^0'=x2^post12, 0 == 0, cost: 1 32: l10 -> l0 : TRUE, cost: 1 33: l10 -> l1 : TRUE, cost: 1 34: l10 -> l3 : TRUE, cost: 1 35: l10 -> l4 : TRUE, cost: 1 36: l10 -> l8 : TRUE, cost: 1 37: l10 -> l6 : TRUE, cost: 1 38: l12 -> l10 : TRUE, cost: 1 Eliminating location l10 by chaining: Applied chaining First rule: l12 -> l10 : TRUE, cost: 1 Second rule: l10 -> l3 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post12, oldX4^0'=x2^post12, oldX1^0'=x1^0, oldX3^0'=x1^post12, x2^0'=x2^post12, 0 == 0, cost: 1 New rule: l12 -> l3 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post12, oldX4^0'=x2^post12, oldX1^0'=x1^0, oldX3^0'=x1^post12, x2^0'=x2^post12, 0 == 0, cost: 2 Applied chaining First rule: l12 -> l10 : TRUE, cost: 1 Second rule: l10 -> l0 : TRUE, cost: 1 New rule: l12 -> l0 : TRUE, cost: 2 Applied chaining First rule: l12 -> l10 : TRUE, cost: 1 Second rule: l10 -> l1 : TRUE, cost: 1 New rule: l12 -> l1 : TRUE, cost: 2 Applied chaining First rule: l12 -> l10 : TRUE, cost: 1 Second rule: l10 -> l3 : TRUE, cost: 1 New rule: l12 -> l3 : TRUE, cost: 2 Applied chaining First rule: l12 -> l10 : TRUE, cost: 1 Second rule: l10 -> l4 : TRUE, cost: 1 New rule: l12 -> l4 : TRUE, cost: 2 Applied chaining First rule: l12 -> l10 : TRUE, cost: 1 Second rule: l10 -> l8 : TRUE, cost: 1 New rule: l12 -> l8 : TRUE, cost: 2 Applied chaining First rule: l12 -> l10 : TRUE, cost: 1 Second rule: l10 -> l6 : TRUE, cost: 1 New rule: l12 -> l6 : TRUE, cost: 2 Applied deletion Removed the following rules: 31 32 33 34 35 36 37 38 Eliminated locations on tree-shaped paths Start location: l12 25: l0 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post0, oldX1^0'=x1^0, oldX3^0'=-x1^0+x1^post0, x2^0'=-1+x2^0, 0 == 0, cost: 1 26: l1 -> l0 : oldX0^0'=x0^0, oldX2^0'=x2^0, oldX1^0'=x1^0, x2^0 >= 0, cost: 1 27: l3 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=0, oldX1^0'=x1^0, x2^0'=x0^0, TRUE, cost: 1 28: l4 -> l6 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post5, oldX4^0'=x2^post5, oldX1^0'=x1^0, x0^0'=-1+x0^0, oldX3^0'=oldX3^post5, x2^0'=x2^post5, 0 == 0, cost: 1 30: l6 -> l8 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=x1^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 1 29: l8 -> l4 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post7, oldX4^0'=x2^post7, oldX1^0'=x1^0, oldX3^0'=oldX3^post7, x2^0'=x2^post7, -1+x0^0 >= 0, cost: 1 39: l12 -> l3 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post12, oldX4^0'=x2^post12, oldX1^0'=x1^0, oldX3^0'=x1^post12, x2^0'=x2^post12, 0 == 0, cost: 2 40: l12 -> l0 : TRUE, cost: 2 41: l12 -> l1 : TRUE, cost: 2 42: l12 -> l3 : TRUE, cost: 2 43: l12 -> l4 : TRUE, cost: 2 44: l12 -> l8 : TRUE, cost: 2 45: l12 -> l6 : TRUE, cost: 2 Eliminating location l3 by chaining: Applied chaining First rule: l12 -> l3 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post12, oldX4^0'=x2^post12, oldX1^0'=x1^0, oldX3^0'=x1^post12, x2^0'=x2^post12, 0 == 0, cost: 2 Second rule: l3 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=0, oldX1^0'=x1^0, x2^0'=x0^0, TRUE, cost: 1 New rule: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^post12, x1^0'=0, oldX4^0'=x2^post12, oldX1^0'=x1^post12, oldX3^0'=x1^post12, x2^0'=x0^0, 0 == 0, cost: 3 Applied chaining First rule: l12 -> l3 : TRUE, cost: 2 Second rule: l3 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=0, oldX1^0'=x1^0, x2^0'=x0^0, TRUE, cost: 1 New rule: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=0, oldX1^0'=x1^0, x2^0'=x0^0, TRUE, cost: 3 Applied deletion Removed the following rules: 27 39 42 Eliminated locations on tree-shaped paths Start location: l12 25: l0 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post0, oldX1^0'=x1^0, oldX3^0'=-x1^0+x1^post0, x2^0'=-1+x2^0, 0 == 0, cost: 1 26: l1 -> l0 : oldX0^0'=x0^0, oldX2^0'=x2^0, oldX1^0'=x1^0, x2^0 >= 0, cost: 1 28: l4 -> l6 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post5, oldX4^0'=x2^post5, oldX1^0'=x1^0, x0^0'=-1+x0^0, oldX3^0'=oldX3^post5, x2^0'=x2^post5, 0 == 0, cost: 1 30: l6 -> l8 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=x1^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 1 29: l8 -> l4 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post7, oldX4^0'=x2^post7, oldX1^0'=x1^0, oldX3^0'=oldX3^post7, x2^0'=x2^post7, -1+x0^0 >= 0, cost: 1 40: l12 -> l0 : TRUE, cost: 2 41: l12 -> l1 : TRUE, cost: 2 43: l12 -> l4 : TRUE, cost: 2 44: l12 -> l8 : TRUE, cost: 2 45: l12 -> l6 : TRUE, cost: 2 46: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^post12, x1^0'=0, oldX4^0'=x2^post12, oldX1^0'=x1^post12, oldX3^0'=x1^post12, x2^0'=x0^0, 0 == 0, cost: 3 47: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=0, oldX1^0'=x1^0, x2^0'=x0^0, TRUE, cost: 3 Eliminated location l0 Start location: l12 48: l1 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post0, oldX1^0'=x1^0, oldX3^0'=-x1^0+x1^post0, x2^0'=-1+x2^0, x2^0 >= 0, cost: 2 28: l4 -> l6 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post5, oldX4^0'=x2^post5, oldX1^0'=x1^0, x0^0'=-1+x0^0, oldX3^0'=oldX3^post5, x2^0'=x2^post5, 0 == 0, cost: 1 30: l6 -> l8 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=x1^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 1 29: l8 -> l4 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post7, oldX4^0'=x2^post7, oldX1^0'=x1^0, oldX3^0'=oldX3^post7, x2^0'=x2^post7, -1+x0^0 >= 0, cost: 1 41: l12 -> l1 : TRUE, cost: 2 43: l12 -> l4 : TRUE, cost: 2 44: l12 -> l8 : TRUE, cost: 2 45: l12 -> l6 : TRUE, cost: 2 46: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^post12, x1^0'=0, oldX4^0'=x2^post12, oldX1^0'=x1^post12, oldX3^0'=x1^post12, x2^0'=x0^0, 0 == 0, cost: 3 47: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=0, oldX1^0'=x1^0, x2^0'=x0^0, TRUE, cost: 3 49: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post0, oldX1^0'=x1^0, oldX3^0'=-x1^0+x1^post0, x2^0'=-1+x2^0, 0 == 0, cost: 3 Applied unrolling Original rule: l1 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post0, oldX1^0'=x1^0, oldX3^0'=-x1^0+x1^post0, x2^0'=-1+x2^0, x2^0 >= 0, cost: 2 New rule: l1 -> l1 : oldX0^0'=x0^0, oldX2^0'=-1+x2^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2+x2^0, (-1+x2^0 >= 0 /\ x2^0 >= 0), cost: 4 Applied acceleration Original rule: l1 -> l1 : oldX0^0'=x0^0, oldX2^0'=-1+x2^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2+x2^0, (-1+x2^0 >= 0 /\ x2^0 >= 0), cost: 4 New rule: l1 -> l1 : oldX0^0'=x0^0, oldX2^0'=1-2*n0+x2^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2*n0+x2^0, (-1+n0 >= 0 /\ 2-2*n0+x2^0 >= 0 /\ 1-2*n0+x2^0 >= 0), cost: 4*n0 Applied simplification Original rule: l1 -> l1 : oldX0^0'=x0^0, oldX2^0'=1-2*n0+x2^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2*n0+x2^0, (-1+n0 >= 0 /\ 2-2*n0+x2^0 >= 0 /\ 1-2*n0+x2^0 >= 0), cost: 4*n0 New rule: l1 -> l1 : oldX0^0'=x0^0, oldX2^0'=1-2*n0+x2^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2*n0+x2^0, (-1+n0 >= 0 /\ 1-2*n0+x2^0 >= 0), cost: 4*n0 Applied deletion Removed the following rules: 48 Accelerated simple loops Start location: l12 51: l1 -> l1 : oldX0^0'=x0^0, oldX2^0'=1-2*n0+x2^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2*n0+x2^0, (-1+n0 >= 0 /\ 1-2*n0+x2^0 >= 0), cost: 4*n0 28: l4 -> l6 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post5, oldX4^0'=x2^post5, oldX1^0'=x1^0, x0^0'=-1+x0^0, oldX3^0'=oldX3^post5, x2^0'=x2^post5, 0 == 0, cost: 1 30: l6 -> l8 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=x1^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 1 29: l8 -> l4 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post7, oldX4^0'=x2^post7, oldX1^0'=x1^0, oldX3^0'=oldX3^post7, x2^0'=x2^post7, -1+x0^0 >= 0, cost: 1 41: l12 -> l1 : TRUE, cost: 2 43: l12 -> l4 : TRUE, cost: 2 44: l12 -> l8 : TRUE, cost: 2 45: l12 -> l6 : TRUE, cost: 2 46: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^post12, x1^0'=0, oldX4^0'=x2^post12, oldX1^0'=x1^post12, oldX3^0'=x1^post12, x2^0'=x0^0, 0 == 0, cost: 3 47: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=0, oldX1^0'=x1^0, x2^0'=x0^0, TRUE, cost: 3 49: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post0, oldX1^0'=x1^0, oldX3^0'=-x1^0+x1^post0, x2^0'=-1+x2^0, 0 == 0, cost: 3 Applied chaining First rule: l12 -> l1 : TRUE, cost: 2 Second rule: l1 -> l1 : oldX0^0'=x0^0, oldX2^0'=1-2*n0+x2^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2*n0+x2^0, (-1+n0 >= 0 /\ 1-2*n0+x2^0 >= 0), cost: 4*n0 New rule: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=1-2*n0+x2^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2*n0+x2^0, (-1+n0 >= 0 /\ 1-2*n0+x2^0 >= 0), cost: 2+4*n0 Applied chaining First rule: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^post12, x1^0'=0, oldX4^0'=x2^post12, oldX1^0'=x1^post12, oldX3^0'=x1^post12, x2^0'=x0^0, 0 == 0, cost: 3 Second rule: l1 -> l1 : oldX0^0'=x0^0, oldX2^0'=1-2*n0+x2^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2*n0+x2^0, (-1+n0 >= 0 /\ 1-2*n0+x2^0 >= 0), cost: 4*n0 New rule: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=1-2*n0+x0^0, x1^0'=x1^post0, oldX4^0'=x2^post12, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2*n0+x0^0, (-1+n0 >= 0 /\ 1-2*n0+x0^0 >= 0), cost: 3+4*n0 Applied chaining First rule: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=0, oldX1^0'=x1^0, x2^0'=x0^0, TRUE, cost: 3 Second rule: l1 -> l1 : oldX0^0'=x0^0, oldX2^0'=1-2*n0+x2^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2*n0+x2^0, (-1+n0 >= 0 /\ 1-2*n0+x2^0 >= 0), cost: 4*n0 New rule: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=1-2*n0+x0^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2*n0+x0^0, (-1+n0 >= 0 /\ 1-2*n0+x0^0 >= 0), cost: 3+4*n0 Applied chaining First rule: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post0, oldX1^0'=x1^0, oldX3^0'=-x1^0+x1^post0, x2^0'=-1+x2^0, 0 == 0, cost: 3 Second rule: l1 -> l1 : oldX0^0'=x0^0, oldX2^0'=1-2*n0+x2^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2*n0+x2^0, (-1+n0 >= 0 /\ 1-2*n0+x2^0 >= 0), cost: 4*n0 New rule: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=-2*n0+x2^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-1-2*n0+x2^0, (-1+n0 >= 0 /\ -2*n0+x2^0 >= 0), cost: 3+4*n0 Applied deletion Removed the following rules: 51 Chained accelerated rules with incoming rules Start location: l12 28: l4 -> l6 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post5, oldX4^0'=x2^post5, oldX1^0'=x1^0, x0^0'=-1+x0^0, oldX3^0'=oldX3^post5, x2^0'=x2^post5, 0 == 0, cost: 1 30: l6 -> l8 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=x1^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 1 29: l8 -> l4 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post7, oldX4^0'=x2^post7, oldX1^0'=x1^0, oldX3^0'=oldX3^post7, x2^0'=x2^post7, -1+x0^0 >= 0, cost: 1 41: l12 -> l1 : TRUE, cost: 2 43: l12 -> l4 : TRUE, cost: 2 44: l12 -> l8 : TRUE, cost: 2 45: l12 -> l6 : TRUE, cost: 2 46: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^post12, x1^0'=0, oldX4^0'=x2^post12, oldX1^0'=x1^post12, oldX3^0'=x1^post12, x2^0'=x0^0, 0 == 0, cost: 3 47: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=0, oldX1^0'=x1^0, x2^0'=x0^0, TRUE, cost: 3 49: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=x1^post0, oldX1^0'=x1^0, oldX3^0'=-x1^0+x1^post0, x2^0'=-1+x2^0, 0 == 0, cost: 3 52: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=1-2*n0+x2^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2*n0+x2^0, (-1+n0 >= 0 /\ 1-2*n0+x2^0 >= 0), cost: 2+4*n0 53: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=1-2*n0+x0^0, x1^0'=x1^post0, oldX4^0'=x2^post12, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2*n0+x0^0, (-1+n0 >= 0 /\ 1-2*n0+x0^0 >= 0), cost: 3+4*n0 54: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=1-2*n0+x0^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-2*n0+x0^0, (-1+n0 >= 0 /\ 1-2*n0+x0^0 >= 0), cost: 3+4*n0 55: l12 -> l1 : oldX0^0'=x0^0, oldX2^0'=-2*n0+x2^0, x1^0'=x1^post0, oldX1^0'=x1^post0, oldX3^0'=0, x2^0'=-1-2*n0+x2^0, (-1+n0 >= 0 /\ -2*n0+x2^0 >= 0), cost: 3+4*n0 Removed unreachable locations and irrelevant leafs Start location: l12 28: l4 -> l6 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post5, oldX4^0'=x2^post5, oldX1^0'=x1^0, x0^0'=-1+x0^0, oldX3^0'=oldX3^post5, x2^0'=x2^post5, 0 == 0, cost: 1 30: l6 -> l8 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=x1^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 1 29: l8 -> l4 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post7, oldX4^0'=x2^post7, oldX1^0'=x1^0, oldX3^0'=oldX3^post7, x2^0'=x2^post7, -1+x0^0 >= 0, cost: 1 43: l12 -> l4 : TRUE, cost: 2 44: l12 -> l8 : TRUE, cost: 2 45: l12 -> l6 : TRUE, cost: 2 Eliminated location l4 Start location: l12 30: l6 -> l8 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=x1^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 1 56: l8 -> l6 : oldX0^0'=x0^0, oldX2^0'=x2^post7, x1^0'=oldX3^post5, oldX4^0'=x2^post5, oldX1^0'=oldX3^post7, x0^0'=-1+x0^0, oldX3^0'=oldX3^post5, x2^0'=x2^post5, -1+x0^0 >= 0, cost: 2 44: l12 -> l8 : TRUE, cost: 2 45: l12 -> l6 : TRUE, cost: 2 57: l12 -> l6 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post5, oldX4^0'=x2^post5, oldX1^0'=x1^0, x0^0'=-1+x0^0, oldX3^0'=oldX3^post5, x2^0'=x2^post5, 0 == 0, cost: 3 Eliminated location l6 Start location: l12 59: l8 -> l8 : oldX0^0'=-1+x0^0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=-1+x0^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, -1+x0^0 >= 0, cost: 3 44: l12 -> l8 : TRUE, cost: 2 58: l12 -> l8 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=x1^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 3 60: l12 -> l8 : oldX0^0'=-1+x0^0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=-1+x0^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 4 Applied acceleration Original rule: l8 -> l8 : oldX0^0'=-1+x0^0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=-1+x0^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, -1+x0^0 >= 0, cost: 3 New rule: l8 -> l8 : oldX0^0'=-n3+x0^0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=-n3+x0^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, (-n3+x0^0 >= 0 /\ -1+n3 >= 0), cost: 3*n3 Applied instantiation Original rule: l8 -> l8 : oldX0^0'=-n3+x0^0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=-n3+x0^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, (-n3+x0^0 >= 0 /\ -1+n3 >= 0), cost: 3*n3 New rule: l8 -> l8 : oldX0^0'=0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, (0 >= 0 /\ -1+x0^0 >= 0), cost: 3*x0^0 Applied simplification Original rule: l8 -> l8 : oldX0^0'=0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, (0 >= 0 /\ -1+x0^0 >= 0), cost: 3*x0^0 New rule: l8 -> l8 : oldX0^0'=0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, -1+x0^0 >= 0, cost: 3*x0^0 Applied deletion Removed the following rules: 59 Accelerated simple loops Start location: l12 62: l8 -> l8 : oldX0^0'=0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, -1+x0^0 >= 0, cost: 3*x0^0 44: l12 -> l8 : TRUE, cost: 2 58: l12 -> l8 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=x1^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 3 60: l12 -> l8 : oldX0^0'=-1+x0^0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=-1+x0^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 4 Applied chaining First rule: l12 -> l8 : TRUE, cost: 2 Second rule: l8 -> l8 : oldX0^0'=0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, -1+x0^0 >= 0, cost: 3*x0^0 New rule: l12 -> l8 : oldX0^0'=0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, -1+x0^0 >= 0, cost: 2+3*x0^0 Applied chaining First rule: l12 -> l8 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=x1^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 3 Second rule: l8 -> l8 : oldX0^0'=0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, -1+x0^0 >= 0, cost: 3*x0^0 New rule: l12 -> l8 : oldX0^0'=0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, -1+x0^0 >= 0, cost: 3+3*x0^0 Applied chaining First rule: l12 -> l8 : oldX0^0'=-1+x0^0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=-1+x0^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 4 Second rule: l8 -> l8 : oldX0^0'=0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, -1+x0^0 >= 0, cost: 3*x0^0 New rule: l12 -> l8 : oldX0^0'=0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, -2+x0^0 >= 0, cost: 1+3*x0^0 Applied deletion Removed the following rules: 62 Chained accelerated rules with incoming rules Start location: l12 44: l12 -> l8 : TRUE, cost: 2 58: l12 -> l8 : oldX0^0'=x0^0, oldX2^0'=x2^0, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=x1^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 3 60: l12 -> l8 : oldX0^0'=-1+x0^0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=-1+x0^0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, 0 == 0, cost: 4 63: l12 -> l8 : oldX0^0'=0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, -1+x0^0 >= 0, cost: 2+3*x0^0 64: l12 -> l8 : oldX0^0'=0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, -1+x0^0 >= 0, cost: 3+3*x0^0 65: l12 -> l8 : oldX0^0'=0, oldX2^0'=x2^post5, x1^0'=oldX3^post10, oldX4^0'=oldX4^post10, oldX1^0'=oldX3^post5, x0^0'=0, oldX3^0'=oldX3^post10, x2^0'=oldX4^post10, -2+x0^0 >= 0, cost: 1+3*x0^0 Removed unreachable locations and irrelevant leafs Start location: l12 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0