WORST_CASE(Omega(0),?) Initial ITS Start location: l15 0: l0 -> l1 : oldX4^0'=oldX4^post0, oldX1^0'=oldX1^post0, x1^0'=x1^post0, oldX6^0'=oldX6^post0, oldX3^0'=oldX3^post0, x3^0'=x3^post0, oldX0^0'=oldX0^post0, x0^0'=x0^post0, oldX5^0'=oldX5^post0, oldX2^0'=oldX2^post0, x2^0'=x2^post0, oldX7^0'=oldX7^post0, (0 == 0 /\ x1^post0-oldX1^post0 == 0 /\ -x0^0+oldX0^post0 == 0 /\ -oldX0^post0+x0^post0 == 0 /\ oldX2^post0-x2^0 == 0 /\ oldX6^0-oldX6^post0 == 0 /\ oldX3^post0-x3^0 == 0 /\ -oldX2^post0+x2^post0 == 0 /\ -oldX3^post0+x3^post0 == 0 /\ -oldX7^post0+oldX7^0 == 0 /\ -x1^0+oldX1^post0 == 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 1 1: l0 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=oldX1^post1, x1^0'=x1^post1, oldX6^0'=oldX6^post1, oldX3^0'=oldX3^post1, x3^0'=x3^post1, oldX0^0'=oldX0^post1, x0^0'=x0^post1, oldX5^0'=oldX5^post1, oldX2^0'=oldX2^post1, x2^0'=x2^post1, oldX7^0'=oldX7^post1, (0 == 0 /\ -oldX6^post1+oldX6^0 == 0 /\ -x1^0+oldX1^post1 == 0 /\ oldX0^post1-x0^0 == 0 /\ -oldX7^post1+oldX7^0 == 0 /\ -oldX1^post1+x1^post1 == 0 /\ x3^post1-oldX3^post1 == 0 /\ -oldX0^post1+x0^post1 == 0 /\ -x3^0+oldX3^post1 == 0 /\ oldX2^post1-x2^0 == 0 /\ x2^post1-oldX2^post1 == 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 1 15: l1 -> l3 : oldX4^0'=oldX4^post15, oldX1^0'=oldX1^post15, x1^0'=x1^post15, oldX6^0'=oldX6^post15, oldX3^0'=oldX3^post15, x3^0'=x3^post15, oldX0^0'=oldX0^post15, x0^0'=x0^post15, oldX5^0'=oldX5^post15, oldX2^0'=oldX2^post15, x2^0'=x2^post15, oldX7^0'=oldX7^post15, (oldX2^post15-x2^0 == 0 /\ -oldX6^post15+oldX6^0 == 0 /\ oldX4^0-oldX4^post15 == 0 /\ oldX0^post15-x0^0 == 0 /\ -oldX2^post15+x2^post15 == 0 /\ -1+x3^post15-oldX3^post15 == 0 /\ -oldX7^post15+oldX7^0 == 0 /\ -oldX1^post15+x1^post15 == 0 /\ -x3^0+oldX3^post15 == 0 /\ oldX5^0-oldX5^post15 == 0 /\ -oldX0^post15+x0^post15 == 0 /\ -x1^0+oldX1^post15 == 0), cost: 1 16: l2 -> l1 : oldX4^0'=oldX4^post16, oldX1^0'=oldX1^post16, x1^0'=x1^post16, oldX6^0'=oldX6^post16, oldX3^0'=oldX3^post16, x3^0'=x3^post16, oldX0^0'=oldX0^post16, x0^0'=x0^post16, oldX5^0'=oldX5^post16, oldX2^0'=oldX2^post16, x2^0'=x2^post16, oldX7^0'=oldX7^post16, (-oldX1^post16+x1^post16 == 0 /\ -x3^0+oldX3^post16 == 0 /\ oldX4^0-oldX4^post16 == 0 /\ oldX1^post16-x1^0 == 0 /\ oldX2^post16-x2^0 == 0 /\ -oldX3^post16+x3^post16 == 0 /\ oldX5^0-oldX5^post16 == 0 /\ oldX0^post16-x0^0 == 0 /\ -oldX0^post16+x0^post16 == 0 /\ oldX6^0-oldX6^post16 == 0 /\ -oldX7^post16+oldX7^0 == 0 /\ -oldX2^post16+x2^post16 == 0), cost: 1 2: l3 -> l4 : oldX4^0'=oldX4^post2, oldX1^0'=oldX1^post2, x1^0'=x1^post2, oldX6^0'=oldX6^post2, oldX3^0'=oldX3^post2, x3^0'=x3^post2, oldX0^0'=oldX0^post2, x0^0'=x0^post2, oldX5^0'=oldX5^post2, oldX2^0'=oldX2^post2, x2^0'=x2^post2, oldX7^0'=oldX7^post2, (-oldX2^post2+x2^post2 == 0 /\ -oldX0^post2+x0^post2 == 0 /\ -x3^0+oldX3^post2 == 0 /\ oldX4^0-oldX4^post2 == 0 /\ -oldX6^post2+oldX6^0 == 0 /\ oldX5^0-oldX5^post2 == 0 /\ oldX2^post2-x2^0 == 0 /\ oldX0^post2-oldX3^post2 <= 0 /\ -oldX7^post2+oldX7^0 == 0 /\ oldX0^post2-x0^0 == 0 /\ -oldX1^post2+x1^post2 == 0 /\ -x1^0+oldX1^post2 == 0 /\ x3^post2-oldX3^post2 == 0), cost: 1 3: l3 -> l0 : oldX4^0'=oldX4^post3, oldX1^0'=oldX1^post3, x1^0'=x1^post3, oldX6^0'=oldX6^post3, oldX3^0'=oldX3^post3, x3^0'=x3^post3, oldX0^0'=oldX0^post3, x0^0'=x0^post3, oldX5^0'=oldX5^post3, oldX2^0'=oldX2^post3, x2^0'=x2^post3, oldX7^0'=oldX7^post3, (-oldX5^post3+oldX5^0 == 0 /\ -oldX2^post3+x2^post3 == 0 /\ oldX3^post3-x3^0 == 0 /\ -oldX7^post3+oldX7^0 == 0 /\ -x0^0+oldX0^post3 == 0 /\ 1+oldX3^post3-oldX0^post3 <= 0 /\ oldX6^0-oldX6^post3 == 0 /\ x1^post3-oldX1^post3 == 0 /\ -oldX3^post3+x3^post3 == 0 /\ oldX2^post3-x2^0 == 0 /\ -x1^0+oldX1^post3 == 0 /\ x0^post3-oldX0^post3 == 0 /\ oldX4^0-oldX4^post3 == 0), cost: 1 17: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=oldX1^post17, x1^0'=x1^post17, oldX6^0'=oldX6^post17, oldX3^0'=oldX3^post17, x3^0'=x3^post17, oldX0^0'=oldX0^post17, x0^0'=x0^post17, oldX5^0'=oldX5^post17, oldX2^0'=oldX2^post17, x2^0'=x2^post17, oldX7^0'=oldX7^post17, (0 == 0 /\ oldX2^post17-x2^0 == 0 /\ -oldX5^post17+oldX5^0 == 0 /\ oldX6^0-oldX6^post17 == 0 /\ x3^post17-oldX4^post17 == 0 /\ x1^post17-oldX1^post17 == 0 /\ -oldX7^post17+oldX7^0 == 0 /\ -1-oldX2^post17+x2^post17 == 0 /\ -oldX0^post17+x0^post17 == 0 /\ oldX3^post17-x3^0 == 0 /\ -x0^0+oldX0^post17 == 0 /\ -x1^0+oldX1^post17 == 0), cost: 1 4: l5 -> l6 : oldX4^0'=oldX4^post4, oldX1^0'=oldX1^post4, x1^0'=x1^post4, oldX6^0'=oldX6^post4, oldX3^0'=oldX3^post4, x3^0'=x3^post4, oldX0^0'=oldX0^post4, x0^0'=x0^post4, oldX5^0'=oldX5^post4, oldX2^0'=oldX2^post4, x2^0'=x2^post4, oldX7^0'=oldX7^post4, (-1-oldX3^post4+oldX0^post4 <= 0 /\ oldX4^0-oldX4^post4 == 0 /\ -x1^0+oldX1^post4 == 0 /\ -oldX3^post4+x3^post4 == 0 /\ oldX2^post4-x2^0 == 0 /\ -oldX5^post4+oldX5^0 == 0 /\ oldX3^post4-x3^0 == 0 /\ oldX0^post4-x0^0 == 0 /\ x1^post4-oldX1^post4 == 0 /\ x2^post4-oldX2^post4 == 0 /\ oldX6^0-oldX6^post4 == 0 /\ -oldX0^post4+x0^post4 == 0 /\ -oldX7^post4+oldX7^0 == 0), cost: 1 5: l5 -> l7 : oldX4^0'=oldX4^post5, oldX1^0'=oldX1^post5, x1^0'=x1^post5, oldX6^0'=oldX6^post5, oldX3^0'=oldX3^post5, x3^0'=x3^post5, oldX0^0'=oldX0^post5, x0^0'=x0^post5, oldX5^0'=oldX5^post5, oldX2^0'=oldX2^post5, x2^0'=x2^post5, oldX7^0'=oldX7^post5, (-oldX1^post5+x1^post5 == 0 /\ -x1^0+oldX1^post5 == 0 /\ -oldX7^post5+oldX7^0 == 0 /\ -oldX0^post5+x0^post5 == 0 /\ 2-oldX0^post5+oldX3^post5 <= 0 /\ -x3^0+oldX3^post5 == 0 /\ oldX4^0-oldX4^post5 == 0 /\ oldX2^post5-x2^0 == 0 /\ -oldX2^post5+x2^post5 == 0 /\ -oldX5^post5+oldX5^0 == 0 /\ x3^post5-oldX3^post5 == 0 /\ -oldX6^post5+oldX6^0 == 0 /\ oldX0^post5-x0^0 == 0), cost: 1 13: l6 -> l13 : oldX4^0'=oldX4^post13, oldX1^0'=oldX1^post13, x1^0'=x1^post13, oldX6^0'=oldX6^post13, oldX3^0'=oldX3^post13, x3^0'=x3^post13, oldX0^0'=oldX0^post13, x0^0'=x0^post13, oldX5^0'=oldX5^post13, oldX2^0'=oldX2^post13, x2^0'=x2^post13, oldX7^0'=oldX7^post13, (0 == 0 /\ x2^post13-oldX6^post13 == 0 /\ x1^post13-oldX5^post13 == 0 /\ -x0^0+oldX0^post13 == 0 /\ oldX1^post13-x1^0 == 0 /\ x0^post13-oldX4^post13 == 0 /\ oldX2^post13-x2^0 == 0 /\ x3^post13-oldX7^post13 == 0 /\ oldX3^post13-x3^0 == 0), cost: 1 14: l7 -> l5 : oldX4^0'=oldX4^post14, oldX1^0'=oldX1^post14, x1^0'=x1^post14, oldX6^0'=oldX6^post14, oldX3^0'=oldX3^post14, x3^0'=x3^post14, oldX0^0'=oldX0^post14, x0^0'=x0^post14, oldX5^0'=oldX5^post14, oldX2^0'=oldX2^post14, x2^0'=x2^post14, oldX7^0'=oldX7^post14, (-oldX6^post14+oldX6^0 == 0 /\ -x2^0+oldX2^post14 == 0 /\ -x1^0+oldX1^post14 == 0 /\ -1+x3^post14-oldX3^post14 == 0 /\ -oldX7^post14+oldX7^0 == 0 /\ -x0^0+oldX0^post14 == 0 /\ x2^post14-oldX2^post14 == 0 /\ -oldX5^post14+oldX5^0 == 0 /\ -x3^0+oldX3^post14 == 0 /\ oldX4^0-oldX4^post14 == 0 /\ x0^post14-oldX0^post14 == 0 /\ x1^post14-oldX1^post14 == 0), cost: 1 6: l8 -> l3 : oldX4^0'=oldX4^post6, oldX1^0'=oldX1^post6, x1^0'=x1^post6, oldX6^0'=oldX6^post6, oldX3^0'=oldX3^post6, x3^0'=x3^post6, oldX0^0'=oldX0^post6, x0^0'=x0^post6, oldX5^0'=oldX5^post6, oldX2^0'=oldX2^post6, x2^0'=x2^post6, oldX7^0'=oldX7^post6, (-oldX1^post6+x1^post6 == 0 /\ -oldX0^post6+x0^post6 == 0 /\ -oldX7^post6+oldX7^0 == 0 /\ oldX3^post6-x3^0 == 0 /\ oldX2^post6-x2^0 == 0 /\ -1-oldX2^post6+x3^post6 == 0 /\ oldX6^0-oldX6^post6 == 0 /\ oldX0^post6-x0^0 == 0 /\ oldX4^0-oldX4^post6 == 0 /\ oldX5^0-oldX5^post6 == 0 /\ -oldX2^post6+x2^post6 == 0 /\ oldX1^post6-x1^0 == 0), cost: 1 7: l9 -> l5 : oldX4^0'=oldX4^post7, oldX1^0'=oldX1^post7, x1^0'=x1^post7, oldX6^0'=oldX6^post7, oldX3^0'=oldX3^post7, x3^0'=x3^post7, oldX0^0'=oldX0^post7, x0^0'=x0^post7, oldX5^0'=oldX5^post7, oldX2^0'=oldX2^post7, x2^0'=x2^post7, oldX7^0'=oldX7^post7, (-x2^0+oldX2^post7 == 0 /\ oldX4^0-oldX4^post7 == 0 /\ x1^post7-oldX1^post7 == 0 /\ x3^post7 == 0 /\ -oldX0^post7+x0^post7 == 0 /\ -oldX5^post7+oldX5^0 == 0 /\ -x1^0+oldX1^post7 == 0 /\ oldX0^post7-x0^0 == 0 /\ x2^post7-oldX2^post7 == 0 /\ oldX6^0-oldX6^post7 == 0 /\ -oldX7^post7+oldX7^0 == 0 /\ -1+oldX0^post7-oldX2^post7 <= 0 /\ oldX3^post7-x3^0 == 0), cost: 1 8: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=oldX1^post8, x1^0'=x1^post8, oldX6^0'=oldX6^post8, oldX3^0'=oldX3^post8, x3^0'=x3^post8, oldX0^0'=oldX0^post8, x0^0'=x0^post8, oldX5^0'=oldX5^post8, oldX2^0'=oldX2^post8, x2^0'=x2^post8, oldX7^0'=oldX7^post8, (0 == 0 /\ -oldX7^post8+oldX7^0 == 0 /\ x3^post8-oldX4^post8 == 0 /\ -oldX1^post8+x1^post8 == 0 /\ -x1^0+oldX1^post8 == 0 /\ -oldX0^post8+x0^post8 == 0 /\ oldX2^post8-x2^0 == 0 /\ 2-oldX0^post8+oldX2^post8 <= 0 /\ -oldX2^post8+x2^post8 == 0 /\ -x3^0+oldX3^post8 == 0 /\ -oldX5^post8+oldX5^0 == 0 /\ oldX0^post8-x0^0 == 0 /\ -oldX6^post8+oldX6^0 == 0), cost: 1 9: l10 -> l11 : oldX4^0'=oldX4^post9, oldX1^0'=oldX1^post9, x1^0'=x1^post9, oldX6^0'=oldX6^post9, oldX3^0'=oldX3^post9, x3^0'=x3^post9, oldX0^0'=oldX0^post9, x0^0'=x0^post9, oldX5^0'=oldX5^post9, oldX2^0'=oldX2^post9, x2^0'=x2^post9, oldX7^0'=oldX7^post9, (0 == 0 /\ -oldX5^post9+x3^post9 == 0 /\ -oldX4^post9+x2^post9 == 0 /\ oldX2^post9-x2^0 == 0 /\ x0^post9-oldX0^post9 == 0 /\ -x0^0+oldX0^post9 == 0 /\ oldX1^post9-x1^0 == 0 /\ -1-oldX1^post9+x1^post9 == 0 /\ oldX6^0-oldX6^post9 == 0 /\ -oldX7^post9+oldX7^0 == 0 /\ oldX3^post9-x3^0 == 0), cost: 1 10: l11 -> l9 : oldX4^0'=oldX4^post10, oldX1^0'=oldX1^post10, x1^0'=x1^post10, oldX6^0'=oldX6^post10, oldX3^0'=oldX3^post10, x3^0'=x3^post10, oldX0^0'=oldX0^post10, x0^0'=x0^post10, oldX5^0'=oldX5^post10, oldX2^0'=oldX2^post10, x2^0'=x2^post10, oldX7^0'=oldX7^post10, (0 == 0 /\ -1+oldX0^post10-oldX1^post10 <= 0 /\ x1^post10-oldX1^post10 == 0 /\ oldX6^0-oldX6^post10 == 0 /\ x2^post10 == 0 /\ -x2^0+oldX2^post10 == 0 /\ oldX3^post10-x3^0 == 0 /\ -oldX0^post10+x0^post10 == 0 /\ -x1^0+oldX1^post10 == 0 /\ -oldX7^post10+oldX7^0 == 0 /\ -x0^0+oldX0^post10 == 0 /\ -oldX4^post10+x3^post10 == 0 /\ -oldX5^post10+oldX5^0 == 0), cost: 1 11: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=oldX1^post11, x1^0'=x1^post11, oldX6^0'=oldX6^post11, oldX3^0'=oldX3^post11, x3^0'=x3^post11, oldX0^0'=oldX0^post11, x0^0'=x0^post11, oldX5^0'=oldX5^post11, oldX2^0'=oldX2^post11, x2^0'=x2^post11, oldX7^0'=oldX7^post11, (0 == 0 /\ oldX2^post11-x2^0 == 0 /\ -x1^0+oldX1^post11 == 0 /\ oldX0^post11-x0^0 == 0 /\ 2-oldX0^post11+oldX1^post11 <= 0 /\ -oldX6^post11+oldX6^0 == 0 /\ x3^post11-oldX5^post11 == 0 /\ x2^post11-oldX4^post11 == 0 /\ -x3^0+oldX3^post11 == 0 /\ -oldX7^post11+oldX7^0 == 0 /\ x0^post11-oldX0^post11 == 0 /\ x1^post11-oldX1^post11 == 0), cost: 1 12: l12 -> l11 : oldX4^0'=oldX4^post12, oldX1^0'=oldX1^post12, x1^0'=x1^post12, oldX6^0'=oldX6^post12, oldX3^0'=oldX3^post12, x3^0'=x3^post12, oldX0^0'=oldX0^post12, x0^0'=x0^post12, oldX5^0'=oldX5^post12, oldX2^0'=oldX2^post12, x2^0'=x2^post12, oldX7^0'=oldX7^post12, (0 == 0 /\ -x3^0+oldX3^post12 == 0 /\ -oldX7^post12+oldX7^0 == 0 /\ -oldX5^post12+x3^post12 == 0 /\ x1^post12 == 0 /\ -x1^0+oldX1^post12 == 0 /\ oldX2^post12-x2^0 == 0 /\ -oldX0^post12+x0^post12 == 0 /\ -oldX4^post12+x2^post12 == 0 /\ oldX0^post12-x0^0 == 0 /\ oldX6^0-oldX6^post12 == 0), cost: 1 18: l14 -> l12 : oldX4^0'=oldX4^post18, oldX1^0'=oldX1^post18, x1^0'=x1^post18, oldX6^0'=oldX6^post18, oldX3^0'=oldX3^post18, x3^0'=x3^post18, oldX0^0'=oldX0^post18, x0^0'=x0^post18, oldX5^0'=oldX5^post18, oldX2^0'=oldX2^post18, x2^0'=x2^post18, oldX7^0'=oldX7^post18, (0 == 0 /\ x3^post18-oldX6^post18 == 0 /\ oldX2^post18-x2^0 == 0 /\ -oldX0^post18+x0^post18 == 0 /\ oldX3^post18-x3^0 == 0 /\ -x1^0+oldX1^post18 == 0 /\ oldX0^post18-x0^0 == 0 /\ x1^post18-oldX4^post18 == 0 /\ x2^post18-oldX5^post18 == 0 /\ -oldX7^post18+oldX7^0 == 0), cost: 1 19: l14 -> l0 : oldX4^0'=oldX4^post19, oldX1^0'=oldX1^post19, x1^0'=x1^post19, oldX6^0'=oldX6^post19, oldX3^0'=oldX3^post19, x3^0'=x3^post19, oldX0^0'=oldX0^post19, x0^0'=x0^post19, oldX5^0'=oldX5^post19, oldX2^0'=oldX2^post19, x2^0'=x2^post19, oldX7^0'=oldX7^post19, (-x0^post19+x0^0 == 0 /\ -oldX2^post19+oldX2^0 == 0 /\ x2^0-x2^post19 == 0 /\ oldX3^0-oldX3^post19 == 0 /\ -oldX6^post19+oldX6^0 == 0 /\ x3^0-x3^post19 == 0 /\ oldX1^0-oldX1^post19 == 0 /\ oldX4^0-oldX4^post19 == 0 /\ -oldX0^post19+oldX0^0 == 0 /\ x1^0-x1^post19 == 0 /\ -oldX7^post19+oldX7^0 == 0 /\ oldX5^0-oldX5^post19 == 0), cost: 1 20: l14 -> l3 : oldX4^0'=oldX4^post20, oldX1^0'=oldX1^post20, x1^0'=x1^post20, oldX6^0'=oldX6^post20, oldX3^0'=oldX3^post20, x3^0'=x3^post20, oldX0^0'=oldX0^post20, x0^0'=x0^post20, oldX5^0'=oldX5^post20, oldX2^0'=oldX2^post20, x2^0'=x2^post20, oldX7^0'=oldX7^post20, (oldX0^0-oldX0^post20 == 0 /\ -oldX7^post20+oldX7^0 == 0 /\ x0^0-x0^post20 == 0 /\ x3^0-x3^post20 == 0 /\ -oldX3^post20+oldX3^0 == 0 /\ oldX6^0-oldX6^post20 == 0 /\ -oldX1^post20+oldX1^0 == 0 /\ oldX4^0-oldX4^post20 == 0 /\ -x2^post20+x2^0 == 0 /\ -oldX5^post20+oldX5^0 == 0 /\ x1^0-x1^post20 == 0 /\ -oldX2^post20+oldX2^0 == 0), cost: 1 21: l14 -> l5 : oldX4^0'=oldX4^post21, oldX1^0'=oldX1^post21, x1^0'=x1^post21, oldX6^0'=oldX6^post21, oldX3^0'=oldX3^post21, x3^0'=x3^post21, oldX0^0'=oldX0^post21, x0^0'=x0^post21, oldX5^0'=oldX5^post21, oldX2^0'=oldX2^post21, x2^0'=x2^post21, oldX7^0'=oldX7^post21, (-oldX5^post21+oldX5^0 == 0 /\ oldX6^0-oldX6^post21 == 0 /\ -x2^post21+x2^0 == 0 /\ -oldX7^post21+oldX7^0 == 0 /\ oldX2^0-oldX2^post21 == 0 /\ -x1^post21+x1^0 == 0 /\ oldX4^0-oldX4^post21 == 0 /\ x0^0-x0^post21 == 0 /\ oldX1^0-oldX1^post21 == 0 /\ -oldX3^post21+oldX3^0 == 0 /\ oldX0^0-oldX0^post21 == 0 /\ -x3^post21+x3^0 == 0), cost: 1 22: l14 -> l8 : oldX4^0'=oldX4^post22, oldX1^0'=oldX1^post22, x1^0'=x1^post22, oldX6^0'=oldX6^post22, oldX3^0'=oldX3^post22, x3^0'=x3^post22, oldX0^0'=oldX0^post22, x0^0'=x0^post22, oldX5^0'=oldX5^post22, oldX2^0'=oldX2^post22, x2^0'=x2^post22, oldX7^0'=oldX7^post22, (-oldX0^post22+oldX0^0 == 0 /\ -x3^post22+x3^0 == 0 /\ -x2^post22+x2^0 == 0 /\ -x0^post22+x0^0 == 0 /\ -oldX6^post22+oldX6^0 == 0 /\ -oldX2^post22+oldX2^0 == 0 /\ oldX3^0-oldX3^post22 == 0 /\ oldX4^0-oldX4^post22 == 0 /\ x1^0-x1^post22 == 0 /\ oldX1^0-oldX1^post22 == 0 /\ -oldX5^post22+oldX5^0 == 0 /\ -oldX7^post22+oldX7^0 == 0), cost: 1 23: l14 -> l9 : oldX4^0'=oldX4^post23, oldX1^0'=oldX1^post23, x1^0'=x1^post23, oldX6^0'=oldX6^post23, oldX3^0'=oldX3^post23, x3^0'=x3^post23, oldX0^0'=oldX0^post23, x0^0'=x0^post23, oldX5^0'=oldX5^post23, oldX2^0'=oldX2^post23, x2^0'=x2^post23, oldX7^0'=oldX7^post23, (oldX3^0-oldX3^post23 == 0 /\ -x2^post23+x2^0 == 0 /\ -x0^post23+x0^0 == 0 /\ oldX5^0-oldX5^post23 == 0 /\ oldX0^0-oldX0^post23 == 0 /\ -oldX2^post23+oldX2^0 == 0 /\ x1^0-x1^post23 == 0 /\ -oldX7^post23+oldX7^0 == 0 /\ x3^0-x3^post23 == 0 /\ oldX1^0-oldX1^post23 == 0 /\ oldX6^0-oldX6^post23 == 0 /\ oldX4^0-oldX4^post23 == 0), cost: 1 24: l14 -> l10 : oldX4^0'=oldX4^post24, oldX1^0'=oldX1^post24, x1^0'=x1^post24, oldX6^0'=oldX6^post24, oldX3^0'=oldX3^post24, x3^0'=x3^post24, oldX0^0'=oldX0^post24, x0^0'=x0^post24, oldX5^0'=oldX5^post24, oldX2^0'=oldX2^post24, x2^0'=x2^post24, oldX7^0'=oldX7^post24, (oldX0^0-oldX0^post24 == 0 /\ -oldX2^post24+oldX2^0 == 0 /\ -oldX3^post24+oldX3^0 == 0 /\ x0^0-x0^post24 == 0 /\ x3^0-x3^post24 == 0 /\ oldX6^0-oldX6^post24 == 0 /\ -oldX5^post24+oldX5^0 == 0 /\ oldX4^0-oldX4^post24 == 0 /\ oldX1^0-oldX1^post24 == 0 /\ -x2^post24+x2^0 == 0 /\ -oldX7^post24+oldX7^0 == 0 /\ x1^0-x1^post24 == 0), cost: 1 25: l14 -> l11 : oldX4^0'=oldX4^post25, oldX1^0'=oldX1^post25, x1^0'=x1^post25, oldX6^0'=oldX6^post25, oldX3^0'=oldX3^post25, x3^0'=x3^post25, oldX0^0'=oldX0^post25, x0^0'=x0^post25, oldX5^0'=oldX5^post25, oldX2^0'=oldX2^post25, x2^0'=x2^post25, oldX7^0'=oldX7^post25, (-x0^post25+x0^0 == 0 /\ -oldX6^post25+oldX6^0 == 0 /\ oldX1^0-oldX1^post25 == 0 /\ -oldX0^post25+oldX0^0 == 0 /\ -x2^post25+x2^0 == 0 /\ -oldX7^post25+oldX7^0 == 0 /\ -x3^post25+x3^0 == 0 /\ x1^0-x1^post25 == 0 /\ -oldX2^post25+oldX2^0 == 0 /\ oldX3^0-oldX3^post25 == 0 /\ -oldX5^post25+oldX5^0 == 0 /\ oldX4^0-oldX4^post25 == 0), cost: 1 26: l14 -> l12 : oldX4^0'=oldX4^post26, oldX1^0'=oldX1^post26, x1^0'=x1^post26, oldX6^0'=oldX6^post26, oldX3^0'=oldX3^post26, x3^0'=x3^post26, oldX0^0'=oldX0^post26, x0^0'=x0^post26, oldX5^0'=oldX5^post26, oldX2^0'=oldX2^post26, x2^0'=x2^post26, oldX7^0'=oldX7^post26, (-x3^post26+x3^0 == 0 /\ oldX3^0-oldX3^post26 == 0 /\ oldX4^0-oldX4^post26 == 0 /\ -oldX6^post26+oldX6^0 == 0 /\ oldX5^0-oldX5^post26 == 0 /\ -x2^post26+x2^0 == 0 /\ -oldX7^post26+oldX7^0 == 0 /\ -oldX0^post26+oldX0^0 == 0 /\ -x0^post26+x0^0 == 0 /\ x1^0-x1^post26 == 0 /\ -oldX2^post26+oldX2^0 == 0 /\ oldX1^0-oldX1^post26 == 0), cost: 1 27: l14 -> l13 : oldX4^0'=oldX4^post27, oldX1^0'=oldX1^post27, x1^0'=x1^post27, oldX6^0'=oldX6^post27, oldX3^0'=oldX3^post27, x3^0'=x3^post27, oldX0^0'=oldX0^post27, x0^0'=x0^post27, oldX5^0'=oldX5^post27, oldX2^0'=oldX2^post27, x2^0'=x2^post27, oldX7^0'=oldX7^post27, (-x2^post27+x2^0 == 0 /\ -oldX7^post27+oldX7^0 == 0 /\ oldX0^0-oldX0^post27 == 0 /\ x0^0-x0^post27 == 0 /\ oldX6^0-oldX6^post27 == 0 /\ x3^0-x3^post27 == 0 /\ x1^0-x1^post27 == 0 /\ -oldX3^post27+oldX3^0 == 0 /\ -oldX2^post27+oldX2^0 == 0 /\ oldX1^0-oldX1^post27 == 0 /\ oldX4^0-oldX4^post27 == 0 /\ -oldX5^post27+oldX5^0 == 0), cost: 1 28: l14 -> l6 : oldX4^0'=oldX4^post28, oldX1^0'=oldX1^post28, x1^0'=x1^post28, oldX6^0'=oldX6^post28, oldX3^0'=oldX3^post28, x3^0'=x3^post28, oldX0^0'=oldX0^post28, x0^0'=x0^post28, oldX5^0'=oldX5^post28, oldX2^0'=oldX2^post28, x2^0'=x2^post28, oldX7^0'=oldX7^post28, (oldX1^0-oldX1^post28 == 0 /\ -oldX6^post28+oldX6^0 == 0 /\ -x2^post28+x2^0 == 0 /\ -oldX7^post28+oldX7^0 == 0 /\ -oldX0^post28+oldX0^0 == 0 /\ x1^0-x1^post28 == 0 /\ -oldX2^post28+oldX2^0 == 0 /\ -x3^post28+x3^0 == 0 /\ oldX3^0-oldX3^post28 == 0 /\ -x0^post28+x0^0 == 0 /\ oldX4^0-oldX4^post28 == 0 /\ -oldX5^post28+oldX5^0 == 0), cost: 1 29: l14 -> l7 : oldX4^0'=oldX4^post29, oldX1^0'=oldX1^post29, x1^0'=x1^post29, oldX6^0'=oldX6^post29, oldX3^0'=oldX3^post29, x3^0'=x3^post29, oldX0^0'=oldX0^post29, x0^0'=x0^post29, oldX5^0'=oldX5^post29, oldX2^0'=oldX2^post29, x2^0'=x2^post29, oldX7^0'=oldX7^post29, (-x3^post29+x3^0 == 0 /\ -oldX0^post29+oldX0^0 == 0 /\ oldX3^0-oldX3^post29 == 0 /\ oldX4^0-oldX4^post29 == 0 /\ x2^0-x2^post29 == 0 /\ -oldX6^post29+oldX6^0 == 0 /\ -oldX2^post29+oldX2^0 == 0 /\ -oldX7^post29+oldX7^0 == 0 /\ -x0^post29+x0^0 == 0 /\ oldX5^0-oldX5^post29 == 0 /\ x1^0-x1^post29 == 0 /\ oldX1^0-oldX1^post29 == 0), cost: 1 30: l14 -> l1 : oldX4^0'=oldX4^post30, oldX1^0'=oldX1^post30, x1^0'=x1^post30, oldX6^0'=oldX6^post30, oldX3^0'=oldX3^post30, x3^0'=x3^post30, oldX0^0'=oldX0^post30, x0^0'=x0^post30, oldX5^0'=oldX5^post30, oldX2^0'=oldX2^post30, x2^0'=x2^post30, oldX7^0'=oldX7^post30, (-oldX5^post30+oldX5^0 == 0 /\ -oldX3^post30+oldX3^0 == 0 /\ x0^0-x0^post30 == 0 /\ -oldX7^post30+oldX7^0 == 0 /\ -x2^post30+x2^0 == 0 /\ x3^0-x3^post30 == 0 /\ -oldX2^post30+oldX2^0 == 0 /\ oldX0^0-oldX0^post30 == 0 /\ oldX6^0-oldX6^post30 == 0 /\ oldX4^0-oldX4^post30 == 0 /\ -oldX1^post30+oldX1^0 == 0 /\ x1^0-x1^post30 == 0), cost: 1 31: l14 -> l2 : oldX4^0'=oldX4^post31, oldX1^0'=oldX1^post31, x1^0'=x1^post31, oldX6^0'=oldX6^post31, oldX3^0'=oldX3^post31, x3^0'=x3^post31, oldX0^0'=oldX0^post31, x0^0'=x0^post31, oldX5^0'=oldX5^post31, oldX2^0'=oldX2^post31, x2^0'=x2^post31, oldX7^0'=oldX7^post31, (oldX2^0-oldX2^post31 == 0 /\ oldX4^0-oldX4^post31 == 0 /\ -oldX5^post31+oldX5^0 == 0 /\ x0^0-x0^post31 == 0 /\ -oldX3^post31+oldX3^0 == 0 /\ oldX1^0-oldX1^post31 == 0 /\ oldX6^0-oldX6^post31 == 0 /\ -oldX7^post31+oldX7^0 == 0 /\ -x2^post31+x2^0 == 0 /\ -oldX0^post31+oldX0^0 == 0 /\ -x1^post31+x1^0 == 0 /\ -x3^post31+x3^0 == 0), cost: 1 32: l14 -> l4 : oldX4^0'=oldX4^post32, oldX1^0'=oldX1^post32, x1^0'=x1^post32, oldX6^0'=oldX6^post32, oldX3^0'=oldX3^post32, x3^0'=x3^post32, oldX0^0'=oldX0^post32, x0^0'=x0^post32, oldX5^0'=oldX5^post32, oldX2^0'=oldX2^post32, x2^0'=x2^post32, oldX7^0'=oldX7^post32, (-oldX7^post32+oldX7^0 == 0 /\ x2^0-x2^post32 == 0 /\ -x0^post32+x0^0 == 0 /\ oldX1^0-oldX1^post32 == 0 /\ oldX3^0-oldX3^post32 == 0 /\ oldX4^0-oldX4^post32 == 0 /\ -x3^post32+x3^0 == 0 /\ -oldX0^post32+oldX0^0 == 0 /\ -oldX5^post32+oldX5^0 == 0 /\ x1^0-x1^post32 == 0 /\ -oldX2^post32+oldX2^0 == 0 /\ -oldX6^post32+oldX6^0 == 0), cost: 1 33: l15 -> l14 : oldX4^0'=oldX4^post33, oldX1^0'=oldX1^post33, x1^0'=x1^post33, oldX6^0'=oldX6^post33, oldX3^0'=oldX3^post33, x3^0'=x3^post33, oldX0^0'=oldX0^post33, x0^0'=x0^post33, oldX5^0'=oldX5^post33, oldX2^0'=oldX2^post33, x2^0'=x2^post33, oldX7^0'=oldX7^post33, (x3^0-x3^post33 == 0 /\ -oldX1^post33+oldX1^0 == 0 /\ -x2^post33+x2^0 == 0 /\ -oldX2^post33+oldX2^0 == 0 /\ oldX5^0-oldX5^post33 == 0 /\ oldX0^0-oldX0^post33 == 0 /\ x1^0-x1^post33 == 0 /\ oldX6^0-oldX6^post33 == 0 /\ -oldX7^post33+oldX7^0 == 0 /\ oldX4^0-oldX4^post33 == 0 /\ -x0^post33+x0^0 == 0 /\ oldX3^0-oldX3^post33 == 0), cost: 1 Removed unreachable rules and leafs Start location: l15 0: l0 -> l1 : oldX4^0'=oldX4^post0, oldX1^0'=oldX1^post0, x1^0'=x1^post0, oldX6^0'=oldX6^post0, oldX3^0'=oldX3^post0, x3^0'=x3^post0, oldX0^0'=oldX0^post0, x0^0'=x0^post0, oldX5^0'=oldX5^post0, oldX2^0'=oldX2^post0, x2^0'=x2^post0, oldX7^0'=oldX7^post0, (0 == 0 /\ x1^post0-oldX1^post0 == 0 /\ -x0^0+oldX0^post0 == 0 /\ -oldX0^post0+x0^post0 == 0 /\ oldX2^post0-x2^0 == 0 /\ oldX6^0-oldX6^post0 == 0 /\ oldX3^post0-x3^0 == 0 /\ -oldX2^post0+x2^post0 == 0 /\ -oldX3^post0+x3^post0 == 0 /\ -oldX7^post0+oldX7^0 == 0 /\ -x1^0+oldX1^post0 == 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 1 1: l0 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=oldX1^post1, x1^0'=x1^post1, oldX6^0'=oldX6^post1, oldX3^0'=oldX3^post1, x3^0'=x3^post1, oldX0^0'=oldX0^post1, x0^0'=x0^post1, oldX5^0'=oldX5^post1, oldX2^0'=oldX2^post1, x2^0'=x2^post1, oldX7^0'=oldX7^post1, (0 == 0 /\ -oldX6^post1+oldX6^0 == 0 /\ -x1^0+oldX1^post1 == 0 /\ oldX0^post1-x0^0 == 0 /\ -oldX7^post1+oldX7^0 == 0 /\ -oldX1^post1+x1^post1 == 0 /\ x3^post1-oldX3^post1 == 0 /\ -oldX0^post1+x0^post1 == 0 /\ -x3^0+oldX3^post1 == 0 /\ oldX2^post1-x2^0 == 0 /\ x2^post1-oldX2^post1 == 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 1 15: l1 -> l3 : oldX4^0'=oldX4^post15, oldX1^0'=oldX1^post15, x1^0'=x1^post15, oldX6^0'=oldX6^post15, oldX3^0'=oldX3^post15, x3^0'=x3^post15, oldX0^0'=oldX0^post15, x0^0'=x0^post15, oldX5^0'=oldX5^post15, oldX2^0'=oldX2^post15, x2^0'=x2^post15, oldX7^0'=oldX7^post15, (oldX2^post15-x2^0 == 0 /\ -oldX6^post15+oldX6^0 == 0 /\ oldX4^0-oldX4^post15 == 0 /\ oldX0^post15-x0^0 == 0 /\ -oldX2^post15+x2^post15 == 0 /\ -1+x3^post15-oldX3^post15 == 0 /\ -oldX7^post15+oldX7^0 == 0 /\ -oldX1^post15+x1^post15 == 0 /\ -x3^0+oldX3^post15 == 0 /\ oldX5^0-oldX5^post15 == 0 /\ -oldX0^post15+x0^post15 == 0 /\ -x1^0+oldX1^post15 == 0), cost: 1 16: l2 -> l1 : oldX4^0'=oldX4^post16, oldX1^0'=oldX1^post16, x1^0'=x1^post16, oldX6^0'=oldX6^post16, oldX3^0'=oldX3^post16, x3^0'=x3^post16, oldX0^0'=oldX0^post16, x0^0'=x0^post16, oldX5^0'=oldX5^post16, oldX2^0'=oldX2^post16, x2^0'=x2^post16, oldX7^0'=oldX7^post16, (-oldX1^post16+x1^post16 == 0 /\ -x3^0+oldX3^post16 == 0 /\ oldX4^0-oldX4^post16 == 0 /\ oldX1^post16-x1^0 == 0 /\ oldX2^post16-x2^0 == 0 /\ -oldX3^post16+x3^post16 == 0 /\ oldX5^0-oldX5^post16 == 0 /\ oldX0^post16-x0^0 == 0 /\ -oldX0^post16+x0^post16 == 0 /\ oldX6^0-oldX6^post16 == 0 /\ -oldX7^post16+oldX7^0 == 0 /\ -oldX2^post16+x2^post16 == 0), cost: 1 2: l3 -> l4 : oldX4^0'=oldX4^post2, oldX1^0'=oldX1^post2, x1^0'=x1^post2, oldX6^0'=oldX6^post2, oldX3^0'=oldX3^post2, x3^0'=x3^post2, oldX0^0'=oldX0^post2, x0^0'=x0^post2, oldX5^0'=oldX5^post2, oldX2^0'=oldX2^post2, x2^0'=x2^post2, oldX7^0'=oldX7^post2, (-oldX2^post2+x2^post2 == 0 /\ -oldX0^post2+x0^post2 == 0 /\ -x3^0+oldX3^post2 == 0 /\ oldX4^0-oldX4^post2 == 0 /\ -oldX6^post2+oldX6^0 == 0 /\ oldX5^0-oldX5^post2 == 0 /\ oldX2^post2-x2^0 == 0 /\ oldX0^post2-oldX3^post2 <= 0 /\ -oldX7^post2+oldX7^0 == 0 /\ oldX0^post2-x0^0 == 0 /\ -oldX1^post2+x1^post2 == 0 /\ -x1^0+oldX1^post2 == 0 /\ x3^post2-oldX3^post2 == 0), cost: 1 3: l3 -> l0 : oldX4^0'=oldX4^post3, oldX1^0'=oldX1^post3, x1^0'=x1^post3, oldX6^0'=oldX6^post3, oldX3^0'=oldX3^post3, x3^0'=x3^post3, oldX0^0'=oldX0^post3, x0^0'=x0^post3, oldX5^0'=oldX5^post3, oldX2^0'=oldX2^post3, x2^0'=x2^post3, oldX7^0'=oldX7^post3, (-oldX5^post3+oldX5^0 == 0 /\ -oldX2^post3+x2^post3 == 0 /\ oldX3^post3-x3^0 == 0 /\ -oldX7^post3+oldX7^0 == 0 /\ -x0^0+oldX0^post3 == 0 /\ 1+oldX3^post3-oldX0^post3 <= 0 /\ oldX6^0-oldX6^post3 == 0 /\ x1^post3-oldX1^post3 == 0 /\ -oldX3^post3+x3^post3 == 0 /\ oldX2^post3-x2^0 == 0 /\ -x1^0+oldX1^post3 == 0 /\ x0^post3-oldX0^post3 == 0 /\ oldX4^0-oldX4^post3 == 0), cost: 1 17: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=oldX1^post17, x1^0'=x1^post17, oldX6^0'=oldX6^post17, oldX3^0'=oldX3^post17, x3^0'=x3^post17, oldX0^0'=oldX0^post17, x0^0'=x0^post17, oldX5^0'=oldX5^post17, oldX2^0'=oldX2^post17, x2^0'=x2^post17, oldX7^0'=oldX7^post17, (0 == 0 /\ oldX2^post17-x2^0 == 0 /\ -oldX5^post17+oldX5^0 == 0 /\ oldX6^0-oldX6^post17 == 0 /\ x3^post17-oldX4^post17 == 0 /\ x1^post17-oldX1^post17 == 0 /\ -oldX7^post17+oldX7^0 == 0 /\ -1-oldX2^post17+x2^post17 == 0 /\ -oldX0^post17+x0^post17 == 0 /\ oldX3^post17-x3^0 == 0 /\ -x0^0+oldX0^post17 == 0 /\ -x1^0+oldX1^post17 == 0), cost: 1 5: l5 -> l7 : oldX4^0'=oldX4^post5, oldX1^0'=oldX1^post5, x1^0'=x1^post5, oldX6^0'=oldX6^post5, oldX3^0'=oldX3^post5, x3^0'=x3^post5, oldX0^0'=oldX0^post5, x0^0'=x0^post5, oldX5^0'=oldX5^post5, oldX2^0'=oldX2^post5, x2^0'=x2^post5, oldX7^0'=oldX7^post5, (-oldX1^post5+x1^post5 == 0 /\ -x1^0+oldX1^post5 == 0 /\ -oldX7^post5+oldX7^0 == 0 /\ -oldX0^post5+x0^post5 == 0 /\ 2-oldX0^post5+oldX3^post5 <= 0 /\ -x3^0+oldX3^post5 == 0 /\ oldX4^0-oldX4^post5 == 0 /\ oldX2^post5-x2^0 == 0 /\ -oldX2^post5+x2^post5 == 0 /\ -oldX5^post5+oldX5^0 == 0 /\ x3^post5-oldX3^post5 == 0 /\ -oldX6^post5+oldX6^0 == 0 /\ oldX0^post5-x0^0 == 0), cost: 1 14: l7 -> l5 : oldX4^0'=oldX4^post14, oldX1^0'=oldX1^post14, x1^0'=x1^post14, oldX6^0'=oldX6^post14, oldX3^0'=oldX3^post14, x3^0'=x3^post14, oldX0^0'=oldX0^post14, x0^0'=x0^post14, oldX5^0'=oldX5^post14, oldX2^0'=oldX2^post14, x2^0'=x2^post14, oldX7^0'=oldX7^post14, (-oldX6^post14+oldX6^0 == 0 /\ -x2^0+oldX2^post14 == 0 /\ -x1^0+oldX1^post14 == 0 /\ -1+x3^post14-oldX3^post14 == 0 /\ -oldX7^post14+oldX7^0 == 0 /\ -x0^0+oldX0^post14 == 0 /\ x2^post14-oldX2^post14 == 0 /\ -oldX5^post14+oldX5^0 == 0 /\ -x3^0+oldX3^post14 == 0 /\ oldX4^0-oldX4^post14 == 0 /\ x0^post14-oldX0^post14 == 0 /\ x1^post14-oldX1^post14 == 0), cost: 1 6: l8 -> l3 : oldX4^0'=oldX4^post6, oldX1^0'=oldX1^post6, x1^0'=x1^post6, oldX6^0'=oldX6^post6, oldX3^0'=oldX3^post6, x3^0'=x3^post6, oldX0^0'=oldX0^post6, x0^0'=x0^post6, oldX5^0'=oldX5^post6, oldX2^0'=oldX2^post6, x2^0'=x2^post6, oldX7^0'=oldX7^post6, (-oldX1^post6+x1^post6 == 0 /\ -oldX0^post6+x0^post6 == 0 /\ -oldX7^post6+oldX7^0 == 0 /\ oldX3^post6-x3^0 == 0 /\ oldX2^post6-x2^0 == 0 /\ -1-oldX2^post6+x3^post6 == 0 /\ oldX6^0-oldX6^post6 == 0 /\ oldX0^post6-x0^0 == 0 /\ oldX4^0-oldX4^post6 == 0 /\ oldX5^0-oldX5^post6 == 0 /\ -oldX2^post6+x2^post6 == 0 /\ oldX1^post6-x1^0 == 0), cost: 1 7: l9 -> l5 : oldX4^0'=oldX4^post7, oldX1^0'=oldX1^post7, x1^0'=x1^post7, oldX6^0'=oldX6^post7, oldX3^0'=oldX3^post7, x3^0'=x3^post7, oldX0^0'=oldX0^post7, x0^0'=x0^post7, oldX5^0'=oldX5^post7, oldX2^0'=oldX2^post7, x2^0'=x2^post7, oldX7^0'=oldX7^post7, (-x2^0+oldX2^post7 == 0 /\ oldX4^0-oldX4^post7 == 0 /\ x1^post7-oldX1^post7 == 0 /\ x3^post7 == 0 /\ -oldX0^post7+x0^post7 == 0 /\ -oldX5^post7+oldX5^0 == 0 /\ -x1^0+oldX1^post7 == 0 /\ oldX0^post7-x0^0 == 0 /\ x2^post7-oldX2^post7 == 0 /\ oldX6^0-oldX6^post7 == 0 /\ -oldX7^post7+oldX7^0 == 0 /\ -1+oldX0^post7-oldX2^post7 <= 0 /\ oldX3^post7-x3^0 == 0), cost: 1 8: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=oldX1^post8, x1^0'=x1^post8, oldX6^0'=oldX6^post8, oldX3^0'=oldX3^post8, x3^0'=x3^post8, oldX0^0'=oldX0^post8, x0^0'=x0^post8, oldX5^0'=oldX5^post8, oldX2^0'=oldX2^post8, x2^0'=x2^post8, oldX7^0'=oldX7^post8, (0 == 0 /\ -oldX7^post8+oldX7^0 == 0 /\ x3^post8-oldX4^post8 == 0 /\ -oldX1^post8+x1^post8 == 0 /\ -x1^0+oldX1^post8 == 0 /\ -oldX0^post8+x0^post8 == 0 /\ oldX2^post8-x2^0 == 0 /\ 2-oldX0^post8+oldX2^post8 <= 0 /\ -oldX2^post8+x2^post8 == 0 /\ -x3^0+oldX3^post8 == 0 /\ -oldX5^post8+oldX5^0 == 0 /\ oldX0^post8-x0^0 == 0 /\ -oldX6^post8+oldX6^0 == 0), cost: 1 9: l10 -> l11 : oldX4^0'=oldX4^post9, oldX1^0'=oldX1^post9, x1^0'=x1^post9, oldX6^0'=oldX6^post9, oldX3^0'=oldX3^post9, x3^0'=x3^post9, oldX0^0'=oldX0^post9, x0^0'=x0^post9, oldX5^0'=oldX5^post9, oldX2^0'=oldX2^post9, x2^0'=x2^post9, oldX7^0'=oldX7^post9, (0 == 0 /\ -oldX5^post9+x3^post9 == 0 /\ -oldX4^post9+x2^post9 == 0 /\ oldX2^post9-x2^0 == 0 /\ x0^post9-oldX0^post9 == 0 /\ -x0^0+oldX0^post9 == 0 /\ oldX1^post9-x1^0 == 0 /\ -1-oldX1^post9+x1^post9 == 0 /\ oldX6^0-oldX6^post9 == 0 /\ -oldX7^post9+oldX7^0 == 0 /\ oldX3^post9-x3^0 == 0), cost: 1 10: l11 -> l9 : oldX4^0'=oldX4^post10, oldX1^0'=oldX1^post10, x1^0'=x1^post10, oldX6^0'=oldX6^post10, oldX3^0'=oldX3^post10, x3^0'=x3^post10, oldX0^0'=oldX0^post10, x0^0'=x0^post10, oldX5^0'=oldX5^post10, oldX2^0'=oldX2^post10, x2^0'=x2^post10, oldX7^0'=oldX7^post10, (0 == 0 /\ -1+oldX0^post10-oldX1^post10 <= 0 /\ x1^post10-oldX1^post10 == 0 /\ oldX6^0-oldX6^post10 == 0 /\ x2^post10 == 0 /\ -x2^0+oldX2^post10 == 0 /\ oldX3^post10-x3^0 == 0 /\ -oldX0^post10+x0^post10 == 0 /\ -x1^0+oldX1^post10 == 0 /\ -oldX7^post10+oldX7^0 == 0 /\ -x0^0+oldX0^post10 == 0 /\ -oldX4^post10+x3^post10 == 0 /\ -oldX5^post10+oldX5^0 == 0), cost: 1 11: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=oldX1^post11, x1^0'=x1^post11, oldX6^0'=oldX6^post11, oldX3^0'=oldX3^post11, x3^0'=x3^post11, oldX0^0'=oldX0^post11, x0^0'=x0^post11, oldX5^0'=oldX5^post11, oldX2^0'=oldX2^post11, x2^0'=x2^post11, oldX7^0'=oldX7^post11, (0 == 0 /\ oldX2^post11-x2^0 == 0 /\ -x1^0+oldX1^post11 == 0 /\ oldX0^post11-x0^0 == 0 /\ 2-oldX0^post11+oldX1^post11 <= 0 /\ -oldX6^post11+oldX6^0 == 0 /\ x3^post11-oldX5^post11 == 0 /\ x2^post11-oldX4^post11 == 0 /\ -x3^0+oldX3^post11 == 0 /\ -oldX7^post11+oldX7^0 == 0 /\ x0^post11-oldX0^post11 == 0 /\ x1^post11-oldX1^post11 == 0), cost: 1 12: l12 -> l11 : oldX4^0'=oldX4^post12, oldX1^0'=oldX1^post12, x1^0'=x1^post12, oldX6^0'=oldX6^post12, oldX3^0'=oldX3^post12, x3^0'=x3^post12, oldX0^0'=oldX0^post12, x0^0'=x0^post12, oldX5^0'=oldX5^post12, oldX2^0'=oldX2^post12, x2^0'=x2^post12, oldX7^0'=oldX7^post12, (0 == 0 /\ -x3^0+oldX3^post12 == 0 /\ -oldX7^post12+oldX7^0 == 0 /\ -oldX5^post12+x3^post12 == 0 /\ x1^post12 == 0 /\ -x1^0+oldX1^post12 == 0 /\ oldX2^post12-x2^0 == 0 /\ -oldX0^post12+x0^post12 == 0 /\ -oldX4^post12+x2^post12 == 0 /\ oldX0^post12-x0^0 == 0 /\ oldX6^0-oldX6^post12 == 0), cost: 1 18: l14 -> l12 : oldX4^0'=oldX4^post18, oldX1^0'=oldX1^post18, x1^0'=x1^post18, oldX6^0'=oldX6^post18, oldX3^0'=oldX3^post18, x3^0'=x3^post18, oldX0^0'=oldX0^post18, x0^0'=x0^post18, oldX5^0'=oldX5^post18, oldX2^0'=oldX2^post18, x2^0'=x2^post18, oldX7^0'=oldX7^post18, (0 == 0 /\ x3^post18-oldX6^post18 == 0 /\ oldX2^post18-x2^0 == 0 /\ -oldX0^post18+x0^post18 == 0 /\ oldX3^post18-x3^0 == 0 /\ -x1^0+oldX1^post18 == 0 /\ oldX0^post18-x0^0 == 0 /\ x1^post18-oldX4^post18 == 0 /\ x2^post18-oldX5^post18 == 0 /\ -oldX7^post18+oldX7^0 == 0), cost: 1 19: l14 -> l0 : oldX4^0'=oldX4^post19, oldX1^0'=oldX1^post19, x1^0'=x1^post19, oldX6^0'=oldX6^post19, oldX3^0'=oldX3^post19, x3^0'=x3^post19, oldX0^0'=oldX0^post19, x0^0'=x0^post19, oldX5^0'=oldX5^post19, oldX2^0'=oldX2^post19, x2^0'=x2^post19, oldX7^0'=oldX7^post19, (-x0^post19+x0^0 == 0 /\ -oldX2^post19+oldX2^0 == 0 /\ x2^0-x2^post19 == 0 /\ oldX3^0-oldX3^post19 == 0 /\ -oldX6^post19+oldX6^0 == 0 /\ x3^0-x3^post19 == 0 /\ oldX1^0-oldX1^post19 == 0 /\ oldX4^0-oldX4^post19 == 0 /\ -oldX0^post19+oldX0^0 == 0 /\ x1^0-x1^post19 == 0 /\ -oldX7^post19+oldX7^0 == 0 /\ oldX5^0-oldX5^post19 == 0), cost: 1 20: l14 -> l3 : oldX4^0'=oldX4^post20, oldX1^0'=oldX1^post20, x1^0'=x1^post20, oldX6^0'=oldX6^post20, oldX3^0'=oldX3^post20, x3^0'=x3^post20, oldX0^0'=oldX0^post20, x0^0'=x0^post20, oldX5^0'=oldX5^post20, oldX2^0'=oldX2^post20, x2^0'=x2^post20, oldX7^0'=oldX7^post20, (oldX0^0-oldX0^post20 == 0 /\ -oldX7^post20+oldX7^0 == 0 /\ x0^0-x0^post20 == 0 /\ x3^0-x3^post20 == 0 /\ -oldX3^post20+oldX3^0 == 0 /\ oldX6^0-oldX6^post20 == 0 /\ -oldX1^post20+oldX1^0 == 0 /\ oldX4^0-oldX4^post20 == 0 /\ -x2^post20+x2^0 == 0 /\ -oldX5^post20+oldX5^0 == 0 /\ x1^0-x1^post20 == 0 /\ -oldX2^post20+oldX2^0 == 0), cost: 1 21: l14 -> l5 : oldX4^0'=oldX4^post21, oldX1^0'=oldX1^post21, x1^0'=x1^post21, oldX6^0'=oldX6^post21, oldX3^0'=oldX3^post21, x3^0'=x3^post21, oldX0^0'=oldX0^post21, x0^0'=x0^post21, oldX5^0'=oldX5^post21, oldX2^0'=oldX2^post21, x2^0'=x2^post21, oldX7^0'=oldX7^post21, (-oldX5^post21+oldX5^0 == 0 /\ oldX6^0-oldX6^post21 == 0 /\ -x2^post21+x2^0 == 0 /\ -oldX7^post21+oldX7^0 == 0 /\ oldX2^0-oldX2^post21 == 0 /\ -x1^post21+x1^0 == 0 /\ oldX4^0-oldX4^post21 == 0 /\ x0^0-x0^post21 == 0 /\ oldX1^0-oldX1^post21 == 0 /\ -oldX3^post21+oldX3^0 == 0 /\ oldX0^0-oldX0^post21 == 0 /\ -x3^post21+x3^0 == 0), cost: 1 22: l14 -> l8 : oldX4^0'=oldX4^post22, oldX1^0'=oldX1^post22, x1^0'=x1^post22, oldX6^0'=oldX6^post22, oldX3^0'=oldX3^post22, x3^0'=x3^post22, oldX0^0'=oldX0^post22, x0^0'=x0^post22, oldX5^0'=oldX5^post22, oldX2^0'=oldX2^post22, x2^0'=x2^post22, oldX7^0'=oldX7^post22, (-oldX0^post22+oldX0^0 == 0 /\ -x3^post22+x3^0 == 0 /\ -x2^post22+x2^0 == 0 /\ -x0^post22+x0^0 == 0 /\ -oldX6^post22+oldX6^0 == 0 /\ -oldX2^post22+oldX2^0 == 0 /\ oldX3^0-oldX3^post22 == 0 /\ oldX4^0-oldX4^post22 == 0 /\ x1^0-x1^post22 == 0 /\ oldX1^0-oldX1^post22 == 0 /\ -oldX5^post22+oldX5^0 == 0 /\ -oldX7^post22+oldX7^0 == 0), cost: 1 23: l14 -> l9 : oldX4^0'=oldX4^post23, oldX1^0'=oldX1^post23, x1^0'=x1^post23, oldX6^0'=oldX6^post23, oldX3^0'=oldX3^post23, x3^0'=x3^post23, oldX0^0'=oldX0^post23, x0^0'=x0^post23, oldX5^0'=oldX5^post23, oldX2^0'=oldX2^post23, x2^0'=x2^post23, oldX7^0'=oldX7^post23, (oldX3^0-oldX3^post23 == 0 /\ -x2^post23+x2^0 == 0 /\ -x0^post23+x0^0 == 0 /\ oldX5^0-oldX5^post23 == 0 /\ oldX0^0-oldX0^post23 == 0 /\ -oldX2^post23+oldX2^0 == 0 /\ x1^0-x1^post23 == 0 /\ -oldX7^post23+oldX7^0 == 0 /\ x3^0-x3^post23 == 0 /\ oldX1^0-oldX1^post23 == 0 /\ oldX6^0-oldX6^post23 == 0 /\ oldX4^0-oldX4^post23 == 0), cost: 1 24: l14 -> l10 : oldX4^0'=oldX4^post24, oldX1^0'=oldX1^post24, x1^0'=x1^post24, oldX6^0'=oldX6^post24, oldX3^0'=oldX3^post24, x3^0'=x3^post24, oldX0^0'=oldX0^post24, x0^0'=x0^post24, oldX5^0'=oldX5^post24, oldX2^0'=oldX2^post24, x2^0'=x2^post24, oldX7^0'=oldX7^post24, (oldX0^0-oldX0^post24 == 0 /\ -oldX2^post24+oldX2^0 == 0 /\ -oldX3^post24+oldX3^0 == 0 /\ x0^0-x0^post24 == 0 /\ x3^0-x3^post24 == 0 /\ oldX6^0-oldX6^post24 == 0 /\ -oldX5^post24+oldX5^0 == 0 /\ oldX4^0-oldX4^post24 == 0 /\ oldX1^0-oldX1^post24 == 0 /\ -x2^post24+x2^0 == 0 /\ -oldX7^post24+oldX7^0 == 0 /\ x1^0-x1^post24 == 0), cost: 1 25: l14 -> l11 : oldX4^0'=oldX4^post25, oldX1^0'=oldX1^post25, x1^0'=x1^post25, oldX6^0'=oldX6^post25, oldX3^0'=oldX3^post25, x3^0'=x3^post25, oldX0^0'=oldX0^post25, x0^0'=x0^post25, oldX5^0'=oldX5^post25, oldX2^0'=oldX2^post25, x2^0'=x2^post25, oldX7^0'=oldX7^post25, (-x0^post25+x0^0 == 0 /\ -oldX6^post25+oldX6^0 == 0 /\ oldX1^0-oldX1^post25 == 0 /\ -oldX0^post25+oldX0^0 == 0 /\ -x2^post25+x2^0 == 0 /\ -oldX7^post25+oldX7^0 == 0 /\ -x3^post25+x3^0 == 0 /\ x1^0-x1^post25 == 0 /\ -oldX2^post25+oldX2^0 == 0 /\ oldX3^0-oldX3^post25 == 0 /\ -oldX5^post25+oldX5^0 == 0 /\ oldX4^0-oldX4^post25 == 0), cost: 1 26: l14 -> l12 : oldX4^0'=oldX4^post26, oldX1^0'=oldX1^post26, x1^0'=x1^post26, oldX6^0'=oldX6^post26, oldX3^0'=oldX3^post26, x3^0'=x3^post26, oldX0^0'=oldX0^post26, x0^0'=x0^post26, oldX5^0'=oldX5^post26, oldX2^0'=oldX2^post26, x2^0'=x2^post26, oldX7^0'=oldX7^post26, (-x3^post26+x3^0 == 0 /\ oldX3^0-oldX3^post26 == 0 /\ oldX4^0-oldX4^post26 == 0 /\ -oldX6^post26+oldX6^0 == 0 /\ oldX5^0-oldX5^post26 == 0 /\ -x2^post26+x2^0 == 0 /\ -oldX7^post26+oldX7^0 == 0 /\ -oldX0^post26+oldX0^0 == 0 /\ -x0^post26+x0^0 == 0 /\ x1^0-x1^post26 == 0 /\ -oldX2^post26+oldX2^0 == 0 /\ oldX1^0-oldX1^post26 == 0), cost: 1 29: l14 -> l7 : oldX4^0'=oldX4^post29, oldX1^0'=oldX1^post29, x1^0'=x1^post29, oldX6^0'=oldX6^post29, oldX3^0'=oldX3^post29, x3^0'=x3^post29, oldX0^0'=oldX0^post29, x0^0'=x0^post29, oldX5^0'=oldX5^post29, oldX2^0'=oldX2^post29, x2^0'=x2^post29, oldX7^0'=oldX7^post29, (-x3^post29+x3^0 == 0 /\ -oldX0^post29+oldX0^0 == 0 /\ oldX3^0-oldX3^post29 == 0 /\ oldX4^0-oldX4^post29 == 0 /\ x2^0-x2^post29 == 0 /\ -oldX6^post29+oldX6^0 == 0 /\ -oldX2^post29+oldX2^0 == 0 /\ -oldX7^post29+oldX7^0 == 0 /\ -x0^post29+x0^0 == 0 /\ oldX5^0-oldX5^post29 == 0 /\ x1^0-x1^post29 == 0 /\ oldX1^0-oldX1^post29 == 0), cost: 1 30: l14 -> l1 : oldX4^0'=oldX4^post30, oldX1^0'=oldX1^post30, x1^0'=x1^post30, oldX6^0'=oldX6^post30, oldX3^0'=oldX3^post30, x3^0'=x3^post30, oldX0^0'=oldX0^post30, x0^0'=x0^post30, oldX5^0'=oldX5^post30, oldX2^0'=oldX2^post30, x2^0'=x2^post30, oldX7^0'=oldX7^post30, (-oldX5^post30+oldX5^0 == 0 /\ -oldX3^post30+oldX3^0 == 0 /\ x0^0-x0^post30 == 0 /\ -oldX7^post30+oldX7^0 == 0 /\ -x2^post30+x2^0 == 0 /\ x3^0-x3^post30 == 0 /\ -oldX2^post30+oldX2^0 == 0 /\ oldX0^0-oldX0^post30 == 0 /\ oldX6^0-oldX6^post30 == 0 /\ oldX4^0-oldX4^post30 == 0 /\ -oldX1^post30+oldX1^0 == 0 /\ x1^0-x1^post30 == 0), cost: 1 31: l14 -> l2 : oldX4^0'=oldX4^post31, oldX1^0'=oldX1^post31, x1^0'=x1^post31, oldX6^0'=oldX6^post31, oldX3^0'=oldX3^post31, x3^0'=x3^post31, oldX0^0'=oldX0^post31, x0^0'=x0^post31, oldX5^0'=oldX5^post31, oldX2^0'=oldX2^post31, x2^0'=x2^post31, oldX7^0'=oldX7^post31, (oldX2^0-oldX2^post31 == 0 /\ oldX4^0-oldX4^post31 == 0 /\ -oldX5^post31+oldX5^0 == 0 /\ x0^0-x0^post31 == 0 /\ -oldX3^post31+oldX3^0 == 0 /\ oldX1^0-oldX1^post31 == 0 /\ oldX6^0-oldX6^post31 == 0 /\ -oldX7^post31+oldX7^0 == 0 /\ -x2^post31+x2^0 == 0 /\ -oldX0^post31+oldX0^0 == 0 /\ -x1^post31+x1^0 == 0 /\ -x3^post31+x3^0 == 0), cost: 1 32: l14 -> l4 : oldX4^0'=oldX4^post32, oldX1^0'=oldX1^post32, x1^0'=x1^post32, oldX6^0'=oldX6^post32, oldX3^0'=oldX3^post32, x3^0'=x3^post32, oldX0^0'=oldX0^post32, x0^0'=x0^post32, oldX5^0'=oldX5^post32, oldX2^0'=oldX2^post32, x2^0'=x2^post32, oldX7^0'=oldX7^post32, (-oldX7^post32+oldX7^0 == 0 /\ x2^0-x2^post32 == 0 /\ -x0^post32+x0^0 == 0 /\ oldX1^0-oldX1^post32 == 0 /\ oldX3^0-oldX3^post32 == 0 /\ oldX4^0-oldX4^post32 == 0 /\ -x3^post32+x3^0 == 0 /\ -oldX0^post32+oldX0^0 == 0 /\ -oldX5^post32+oldX5^0 == 0 /\ x1^0-x1^post32 == 0 /\ -oldX2^post32+oldX2^0 == 0 /\ -oldX6^post32+oldX6^0 == 0), cost: 1 33: l15 -> l14 : oldX4^0'=oldX4^post33, oldX1^0'=oldX1^post33, x1^0'=x1^post33, oldX6^0'=oldX6^post33, oldX3^0'=oldX3^post33, x3^0'=x3^post33, oldX0^0'=oldX0^post33, x0^0'=x0^post33, oldX5^0'=oldX5^post33, oldX2^0'=oldX2^post33, x2^0'=x2^post33, oldX7^0'=oldX7^post33, (x3^0-x3^post33 == 0 /\ -oldX1^post33+oldX1^0 == 0 /\ -x2^post33+x2^0 == 0 /\ -oldX2^post33+oldX2^0 == 0 /\ oldX5^0-oldX5^post33 == 0 /\ oldX0^0-oldX0^post33 == 0 /\ x1^0-x1^post33 == 0 /\ oldX6^0-oldX6^post33 == 0 /\ -oldX7^post33+oldX7^0 == 0 /\ oldX4^0-oldX4^post33 == 0 /\ -x0^post33+x0^0 == 0 /\ oldX3^0-oldX3^post33 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : oldX4^0'=oldX4^post0, oldX1^0'=oldX1^post0, x1^0'=x1^post0, oldX6^0'=oldX6^post0, oldX3^0'=oldX3^post0, x3^0'=x3^post0, oldX0^0'=oldX0^post0, x0^0'=x0^post0, oldX5^0'=oldX5^post0, oldX2^0'=oldX2^post0, x2^0'=x2^post0, oldX7^0'=oldX7^post0, (0 == 0 /\ x1^post0-oldX1^post0 == 0 /\ -x0^0+oldX0^post0 == 0 /\ -oldX0^post0+x0^post0 == 0 /\ oldX2^post0-x2^0 == 0 /\ oldX6^0-oldX6^post0 == 0 /\ oldX3^post0-x3^0 == 0 /\ -oldX2^post0+x2^post0 == 0 /\ -oldX3^post0+x3^post0 == 0 /\ -oldX7^post0+oldX7^0 == 0 /\ -x1^0+oldX1^post0 == 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 1 New rule: l0 -> l1 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 1 Applied preprocessing Original rule: l0 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=oldX1^post1, x1^0'=x1^post1, oldX6^0'=oldX6^post1, oldX3^0'=oldX3^post1, x3^0'=x3^post1, oldX0^0'=oldX0^post1, x0^0'=x0^post1, oldX5^0'=oldX5^post1, oldX2^0'=oldX2^post1, x2^0'=x2^post1, oldX7^0'=oldX7^post1, (0 == 0 /\ -oldX6^post1+oldX6^0 == 0 /\ -x1^0+oldX1^post1 == 0 /\ oldX0^post1-x0^0 == 0 /\ -oldX7^post1+oldX7^0 == 0 /\ -oldX1^post1+x1^post1 == 0 /\ x3^post1-oldX3^post1 == 0 /\ -oldX0^post1+x0^post1 == 0 /\ -x3^0+oldX3^post1 == 0 /\ oldX2^post1-x2^0 == 0 /\ x2^post1-oldX2^post1 == 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 1 New rule: l0 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, 1-oldX5^post1+oldX4^post1 <= 0, cost: 1 Applied preprocessing Original rule: l3 -> l4 : oldX4^0'=oldX4^post2, oldX1^0'=oldX1^post2, x1^0'=x1^post2, oldX6^0'=oldX6^post2, oldX3^0'=oldX3^post2, x3^0'=x3^post2, oldX0^0'=oldX0^post2, x0^0'=x0^post2, oldX5^0'=oldX5^post2, oldX2^0'=oldX2^post2, x2^0'=x2^post2, oldX7^0'=oldX7^post2, (-oldX2^post2+x2^post2 == 0 /\ -oldX0^post2+x0^post2 == 0 /\ -x3^0+oldX3^post2 == 0 /\ oldX4^0-oldX4^post2 == 0 /\ -oldX6^post2+oldX6^0 == 0 /\ oldX5^0-oldX5^post2 == 0 /\ oldX2^post2-x2^0 == 0 /\ oldX0^post2-oldX3^post2 <= 0 /\ -oldX7^post2+oldX7^0 == 0 /\ oldX0^post2-x0^0 == 0 /\ -oldX1^post2+x1^post2 == 0 /\ -x1^0+oldX1^post2 == 0 /\ x3^post2-oldX3^post2 == 0), cost: 1 New rule: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 1 Applied preprocessing Original rule: l3 -> l0 : oldX4^0'=oldX4^post3, oldX1^0'=oldX1^post3, x1^0'=x1^post3, oldX6^0'=oldX6^post3, oldX3^0'=oldX3^post3, x3^0'=x3^post3, oldX0^0'=oldX0^post3, x0^0'=x0^post3, oldX5^0'=oldX5^post3, oldX2^0'=oldX2^post3, x2^0'=x2^post3, oldX7^0'=oldX7^post3, (-oldX5^post3+oldX5^0 == 0 /\ -oldX2^post3+x2^post3 == 0 /\ oldX3^post3-x3^0 == 0 /\ -oldX7^post3+oldX7^0 == 0 /\ -x0^0+oldX0^post3 == 0 /\ 1+oldX3^post3-oldX0^post3 <= 0 /\ oldX6^0-oldX6^post3 == 0 /\ x1^post3-oldX1^post3 == 0 /\ -oldX3^post3+x3^post3 == 0 /\ oldX2^post3-x2^0 == 0 /\ -x1^0+oldX1^post3 == 0 /\ x0^post3-oldX0^post3 == 0 /\ oldX4^0-oldX4^post3 == 0), cost: 1 New rule: l3 -> l0 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0-x0^0 <= 0, cost: 1 Applied preprocessing Original rule: l5 -> l7 : oldX4^0'=oldX4^post5, oldX1^0'=oldX1^post5, x1^0'=x1^post5, oldX6^0'=oldX6^post5, oldX3^0'=oldX3^post5, x3^0'=x3^post5, oldX0^0'=oldX0^post5, x0^0'=x0^post5, oldX5^0'=oldX5^post5, oldX2^0'=oldX2^post5, x2^0'=x2^post5, oldX7^0'=oldX7^post5, (-oldX1^post5+x1^post5 == 0 /\ -x1^0+oldX1^post5 == 0 /\ -oldX7^post5+oldX7^0 == 0 /\ -oldX0^post5+x0^post5 == 0 /\ 2-oldX0^post5+oldX3^post5 <= 0 /\ -x3^0+oldX3^post5 == 0 /\ oldX4^0-oldX4^post5 == 0 /\ oldX2^post5-x2^0 == 0 /\ -oldX2^post5+x2^post5 == 0 /\ -oldX5^post5+oldX5^0 == 0 /\ x3^post5-oldX3^post5 == 0 /\ -oldX6^post5+oldX6^0 == 0 /\ oldX0^post5-x0^0 == 0), cost: 1 New rule: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 Applied preprocessing Original rule: l8 -> l3 : oldX4^0'=oldX4^post6, oldX1^0'=oldX1^post6, x1^0'=x1^post6, oldX6^0'=oldX6^post6, oldX3^0'=oldX3^post6, x3^0'=x3^post6, oldX0^0'=oldX0^post6, x0^0'=x0^post6, oldX5^0'=oldX5^post6, oldX2^0'=oldX2^post6, x2^0'=x2^post6, oldX7^0'=oldX7^post6, (-oldX1^post6+x1^post6 == 0 /\ -oldX0^post6+x0^post6 == 0 /\ -oldX7^post6+oldX7^0 == 0 /\ oldX3^post6-x3^0 == 0 /\ oldX2^post6-x2^0 == 0 /\ -1-oldX2^post6+x3^post6 == 0 /\ oldX6^0-oldX6^post6 == 0 /\ oldX0^post6-x0^0 == 0 /\ oldX4^0-oldX4^post6 == 0 /\ oldX5^0-oldX5^post6 == 0 /\ -oldX2^post6+x2^post6 == 0 /\ oldX1^post6-x1^0 == 0), cost: 1 New rule: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l5 : oldX4^0'=oldX4^post7, oldX1^0'=oldX1^post7, x1^0'=x1^post7, oldX6^0'=oldX6^post7, oldX3^0'=oldX3^post7, x3^0'=x3^post7, oldX0^0'=oldX0^post7, x0^0'=x0^post7, oldX5^0'=oldX5^post7, oldX2^0'=oldX2^post7, x2^0'=x2^post7, oldX7^0'=oldX7^post7, (-x2^0+oldX2^post7 == 0 /\ oldX4^0-oldX4^post7 == 0 /\ x1^post7-oldX1^post7 == 0 /\ x3^post7 == 0 /\ -oldX0^post7+x0^post7 == 0 /\ -oldX5^post7+oldX5^0 == 0 /\ -x1^0+oldX1^post7 == 0 /\ oldX0^post7-x0^0 == 0 /\ x2^post7-oldX2^post7 == 0 /\ oldX6^0-oldX6^post7 == 0 /\ -oldX7^post7+oldX7^0 == 0 /\ -1+oldX0^post7-oldX2^post7 <= 0 /\ oldX3^post7-x3^0 == 0), cost: 1 New rule: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 Applied preprocessing Original rule: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=oldX1^post8, x1^0'=x1^post8, oldX6^0'=oldX6^post8, oldX3^0'=oldX3^post8, x3^0'=x3^post8, oldX0^0'=oldX0^post8, x0^0'=x0^post8, oldX5^0'=oldX5^post8, oldX2^0'=oldX2^post8, x2^0'=x2^post8, oldX7^0'=oldX7^post8, (0 == 0 /\ -oldX7^post8+oldX7^0 == 0 /\ x3^post8-oldX4^post8 == 0 /\ -oldX1^post8+x1^post8 == 0 /\ -x1^0+oldX1^post8 == 0 /\ -oldX0^post8+x0^post8 == 0 /\ oldX2^post8-x2^0 == 0 /\ 2-oldX0^post8+oldX2^post8 <= 0 /\ -oldX2^post8+x2^post8 == 0 /\ -x3^0+oldX3^post8 == 0 /\ -oldX5^post8+oldX5^0 == 0 /\ oldX0^post8-x0^0 == 0 /\ -oldX6^post8+oldX6^0 == 0), cost: 1 New rule: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 Applied preprocessing Original rule: l10 -> l11 : oldX4^0'=oldX4^post9, oldX1^0'=oldX1^post9, x1^0'=x1^post9, oldX6^0'=oldX6^post9, oldX3^0'=oldX3^post9, x3^0'=x3^post9, oldX0^0'=oldX0^post9, x0^0'=x0^post9, oldX5^0'=oldX5^post9, oldX2^0'=oldX2^post9, x2^0'=x2^post9, oldX7^0'=oldX7^post9, (0 == 0 /\ -oldX5^post9+x3^post9 == 0 /\ -oldX4^post9+x2^post9 == 0 /\ oldX2^post9-x2^0 == 0 /\ x0^post9-oldX0^post9 == 0 /\ -x0^0+oldX0^post9 == 0 /\ oldX1^post9-x1^0 == 0 /\ -1-oldX1^post9+x1^post9 == 0 /\ oldX6^0-oldX6^post9 == 0 /\ -oldX7^post9+oldX7^0 == 0 /\ oldX3^post9-x3^0 == 0), cost: 1 New rule: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 Applied preprocessing Original rule: l11 -> l9 : oldX4^0'=oldX4^post10, oldX1^0'=oldX1^post10, x1^0'=x1^post10, oldX6^0'=oldX6^post10, oldX3^0'=oldX3^post10, x3^0'=x3^post10, oldX0^0'=oldX0^post10, x0^0'=x0^post10, oldX5^0'=oldX5^post10, oldX2^0'=oldX2^post10, x2^0'=x2^post10, oldX7^0'=oldX7^post10, (0 == 0 /\ -1+oldX0^post10-oldX1^post10 <= 0 /\ x1^post10-oldX1^post10 == 0 /\ oldX6^0-oldX6^post10 == 0 /\ x2^post10 == 0 /\ -x2^0+oldX2^post10 == 0 /\ oldX3^post10-x3^0 == 0 /\ -oldX0^post10+x0^post10 == 0 /\ -x1^0+oldX1^post10 == 0 /\ -oldX7^post10+oldX7^0 == 0 /\ -x0^0+oldX0^post10 == 0 /\ -oldX4^post10+x3^post10 == 0 /\ -oldX5^post10+oldX5^0 == 0), cost: 1 New rule: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 Applied preprocessing Original rule: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=oldX1^post11, x1^0'=x1^post11, oldX6^0'=oldX6^post11, oldX3^0'=oldX3^post11, x3^0'=x3^post11, oldX0^0'=oldX0^post11, x0^0'=x0^post11, oldX5^0'=oldX5^post11, oldX2^0'=oldX2^post11, x2^0'=x2^post11, oldX7^0'=oldX7^post11, (0 == 0 /\ oldX2^post11-x2^0 == 0 /\ -x1^0+oldX1^post11 == 0 /\ oldX0^post11-x0^0 == 0 /\ 2-oldX0^post11+oldX1^post11 <= 0 /\ -oldX6^post11+oldX6^0 == 0 /\ x3^post11-oldX5^post11 == 0 /\ x2^post11-oldX4^post11 == 0 /\ -x3^0+oldX3^post11 == 0 /\ -oldX7^post11+oldX7^0 == 0 /\ x0^post11-oldX0^post11 == 0 /\ x1^post11-oldX1^post11 == 0), cost: 1 New rule: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 Applied preprocessing Original rule: l12 -> l11 : oldX4^0'=oldX4^post12, oldX1^0'=oldX1^post12, x1^0'=x1^post12, oldX6^0'=oldX6^post12, oldX3^0'=oldX3^post12, x3^0'=x3^post12, oldX0^0'=oldX0^post12, x0^0'=x0^post12, oldX5^0'=oldX5^post12, oldX2^0'=oldX2^post12, x2^0'=x2^post12, oldX7^0'=oldX7^post12, (0 == 0 /\ -x3^0+oldX3^post12 == 0 /\ -oldX7^post12+oldX7^0 == 0 /\ -oldX5^post12+x3^post12 == 0 /\ x1^post12 == 0 /\ -x1^0+oldX1^post12 == 0 /\ oldX2^post12-x2^0 == 0 /\ -oldX0^post12+x0^post12 == 0 /\ -oldX4^post12+x2^post12 == 0 /\ oldX0^post12-x0^0 == 0 /\ oldX6^0-oldX6^post12 == 0), cost: 1 New rule: l12 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 1 Applied preprocessing Original rule: l7 -> l5 : oldX4^0'=oldX4^post14, oldX1^0'=oldX1^post14, x1^0'=x1^post14, oldX6^0'=oldX6^post14, oldX3^0'=oldX3^post14, x3^0'=x3^post14, oldX0^0'=oldX0^post14, x0^0'=x0^post14, oldX5^0'=oldX5^post14, oldX2^0'=oldX2^post14, x2^0'=x2^post14, oldX7^0'=oldX7^post14, (-oldX6^post14+oldX6^0 == 0 /\ -x2^0+oldX2^post14 == 0 /\ -x1^0+oldX1^post14 == 0 /\ -1+x3^post14-oldX3^post14 == 0 /\ -oldX7^post14+oldX7^0 == 0 /\ -x0^0+oldX0^post14 == 0 /\ x2^post14-oldX2^post14 == 0 /\ -oldX5^post14+oldX5^0 == 0 /\ -x3^0+oldX3^post14 == 0 /\ oldX4^0-oldX4^post14 == 0 /\ x0^post14-oldX0^post14 == 0 /\ x1^post14-oldX1^post14 == 0), cost: 1 New rule: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l3 : oldX4^0'=oldX4^post15, oldX1^0'=oldX1^post15, x1^0'=x1^post15, oldX6^0'=oldX6^post15, oldX3^0'=oldX3^post15, x3^0'=x3^post15, oldX0^0'=oldX0^post15, x0^0'=x0^post15, oldX5^0'=oldX5^post15, oldX2^0'=oldX2^post15, x2^0'=x2^post15, oldX7^0'=oldX7^post15, (oldX2^post15-x2^0 == 0 /\ -oldX6^post15+oldX6^0 == 0 /\ oldX4^0-oldX4^post15 == 0 /\ oldX0^post15-x0^0 == 0 /\ -oldX2^post15+x2^post15 == 0 /\ -1+x3^post15-oldX3^post15 == 0 /\ -oldX7^post15+oldX7^0 == 0 /\ -oldX1^post15+x1^post15 == 0 /\ -x3^0+oldX3^post15 == 0 /\ oldX5^0-oldX5^post15 == 0 /\ -oldX0^post15+x0^post15 == 0 /\ -x1^0+oldX1^post15 == 0), cost: 1 New rule: l1 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l1 : oldX4^0'=oldX4^post16, oldX1^0'=oldX1^post16, x1^0'=x1^post16, oldX6^0'=oldX6^post16, oldX3^0'=oldX3^post16, x3^0'=x3^post16, oldX0^0'=oldX0^post16, x0^0'=x0^post16, oldX5^0'=oldX5^post16, oldX2^0'=oldX2^post16, x2^0'=x2^post16, oldX7^0'=oldX7^post16, (-oldX1^post16+x1^post16 == 0 /\ -x3^0+oldX3^post16 == 0 /\ oldX4^0-oldX4^post16 == 0 /\ oldX1^post16-x1^0 == 0 /\ oldX2^post16-x2^0 == 0 /\ -oldX3^post16+x3^post16 == 0 /\ oldX5^0-oldX5^post16 == 0 /\ oldX0^post16-x0^0 == 0 /\ -oldX0^post16+x0^post16 == 0 /\ oldX6^0-oldX6^post16 == 0 /\ -oldX7^post16+oldX7^0 == 0 /\ -oldX2^post16+x2^post16 == 0), cost: 1 New rule: l2 -> l1 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 Applied preprocessing Original rule: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=oldX1^post17, x1^0'=x1^post17, oldX6^0'=oldX6^post17, oldX3^0'=oldX3^post17, x3^0'=x3^post17, oldX0^0'=oldX0^post17, x0^0'=x0^post17, oldX5^0'=oldX5^post17, oldX2^0'=oldX2^post17, x2^0'=x2^post17, oldX7^0'=oldX7^post17, (0 == 0 /\ oldX2^post17-x2^0 == 0 /\ -oldX5^post17+oldX5^0 == 0 /\ oldX6^0-oldX6^post17 == 0 /\ x3^post17-oldX4^post17 == 0 /\ x1^post17-oldX1^post17 == 0 /\ -oldX7^post17+oldX7^0 == 0 /\ -1-oldX2^post17+x2^post17 == 0 /\ -oldX0^post17+x0^post17 == 0 /\ oldX3^post17-x3^0 == 0 /\ -x0^0+oldX0^post17 == 0 /\ -x1^0+oldX1^post17 == 0), cost: 1 New rule: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 Applied preprocessing Original rule: l14 -> l12 : oldX4^0'=oldX4^post18, oldX1^0'=oldX1^post18, x1^0'=x1^post18, oldX6^0'=oldX6^post18, oldX3^0'=oldX3^post18, x3^0'=x3^post18, oldX0^0'=oldX0^post18, x0^0'=x0^post18, oldX5^0'=oldX5^post18, oldX2^0'=oldX2^post18, x2^0'=x2^post18, oldX7^0'=oldX7^post18, (0 == 0 /\ x3^post18-oldX6^post18 == 0 /\ oldX2^post18-x2^0 == 0 /\ -oldX0^post18+x0^post18 == 0 /\ oldX3^post18-x3^0 == 0 /\ -x1^0+oldX1^post18 == 0 /\ oldX0^post18-x0^0 == 0 /\ x1^post18-oldX4^post18 == 0 /\ x2^post18-oldX5^post18 == 0 /\ -oldX7^post18+oldX7^0 == 0), cost: 1 New rule: l14 -> l12 : oldX4^0'=oldX4^post18, oldX1^0'=x1^0, x1^0'=oldX4^post18, oldX6^0'=oldX6^post18, oldX3^0'=x3^0, x3^0'=oldX6^post18, oldX0^0'=x0^0, oldX5^0'=oldX5^post18, oldX2^0'=x2^0, x2^0'=oldX5^post18, 0 == 0, cost: 1 Applied preprocessing Original rule: l14 -> l0 : oldX4^0'=oldX4^post19, oldX1^0'=oldX1^post19, x1^0'=x1^post19, oldX6^0'=oldX6^post19, oldX3^0'=oldX3^post19, x3^0'=x3^post19, oldX0^0'=oldX0^post19, x0^0'=x0^post19, oldX5^0'=oldX5^post19, oldX2^0'=oldX2^post19, x2^0'=x2^post19, oldX7^0'=oldX7^post19, (-x0^post19+x0^0 == 0 /\ -oldX2^post19+oldX2^0 == 0 /\ x2^0-x2^post19 == 0 /\ oldX3^0-oldX3^post19 == 0 /\ -oldX6^post19+oldX6^0 == 0 /\ x3^0-x3^post19 == 0 /\ oldX1^0-oldX1^post19 == 0 /\ oldX4^0-oldX4^post19 == 0 /\ -oldX0^post19+oldX0^0 == 0 /\ x1^0-x1^post19 == 0 /\ -oldX7^post19+oldX7^0 == 0 /\ oldX5^0-oldX5^post19 == 0), cost: 1 New rule: l14 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l3 : oldX4^0'=oldX4^post20, oldX1^0'=oldX1^post20, x1^0'=x1^post20, oldX6^0'=oldX6^post20, oldX3^0'=oldX3^post20, x3^0'=x3^post20, oldX0^0'=oldX0^post20, x0^0'=x0^post20, oldX5^0'=oldX5^post20, oldX2^0'=oldX2^post20, x2^0'=x2^post20, oldX7^0'=oldX7^post20, (oldX0^0-oldX0^post20 == 0 /\ -oldX7^post20+oldX7^0 == 0 /\ x0^0-x0^post20 == 0 /\ x3^0-x3^post20 == 0 /\ -oldX3^post20+oldX3^0 == 0 /\ oldX6^0-oldX6^post20 == 0 /\ -oldX1^post20+oldX1^0 == 0 /\ oldX4^0-oldX4^post20 == 0 /\ -x2^post20+x2^0 == 0 /\ -oldX5^post20+oldX5^0 == 0 /\ x1^0-x1^post20 == 0 /\ -oldX2^post20+oldX2^0 == 0), cost: 1 New rule: l14 -> l3 : TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l5 : oldX4^0'=oldX4^post21, oldX1^0'=oldX1^post21, x1^0'=x1^post21, oldX6^0'=oldX6^post21, oldX3^0'=oldX3^post21, x3^0'=x3^post21, oldX0^0'=oldX0^post21, x0^0'=x0^post21, oldX5^0'=oldX5^post21, oldX2^0'=oldX2^post21, x2^0'=x2^post21, oldX7^0'=oldX7^post21, (-oldX5^post21+oldX5^0 == 0 /\ oldX6^0-oldX6^post21 == 0 /\ -x2^post21+x2^0 == 0 /\ -oldX7^post21+oldX7^0 == 0 /\ oldX2^0-oldX2^post21 == 0 /\ -x1^post21+x1^0 == 0 /\ oldX4^0-oldX4^post21 == 0 /\ x0^0-x0^post21 == 0 /\ oldX1^0-oldX1^post21 == 0 /\ -oldX3^post21+oldX3^0 == 0 /\ oldX0^0-oldX0^post21 == 0 /\ -x3^post21+x3^0 == 0), cost: 1 New rule: l14 -> l5 : TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l8 : oldX4^0'=oldX4^post22, oldX1^0'=oldX1^post22, x1^0'=x1^post22, oldX6^0'=oldX6^post22, oldX3^0'=oldX3^post22, x3^0'=x3^post22, oldX0^0'=oldX0^post22, x0^0'=x0^post22, oldX5^0'=oldX5^post22, oldX2^0'=oldX2^post22, x2^0'=x2^post22, oldX7^0'=oldX7^post22, (-oldX0^post22+oldX0^0 == 0 /\ -x3^post22+x3^0 == 0 /\ -x2^post22+x2^0 == 0 /\ -x0^post22+x0^0 == 0 /\ -oldX6^post22+oldX6^0 == 0 /\ -oldX2^post22+oldX2^0 == 0 /\ oldX3^0-oldX3^post22 == 0 /\ oldX4^0-oldX4^post22 == 0 /\ x1^0-x1^post22 == 0 /\ oldX1^0-oldX1^post22 == 0 /\ -oldX5^post22+oldX5^0 == 0 /\ -oldX7^post22+oldX7^0 == 0), cost: 1 New rule: l14 -> l8 : TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l9 : oldX4^0'=oldX4^post23, oldX1^0'=oldX1^post23, x1^0'=x1^post23, oldX6^0'=oldX6^post23, oldX3^0'=oldX3^post23, x3^0'=x3^post23, oldX0^0'=oldX0^post23, x0^0'=x0^post23, oldX5^0'=oldX5^post23, oldX2^0'=oldX2^post23, x2^0'=x2^post23, oldX7^0'=oldX7^post23, (oldX3^0-oldX3^post23 == 0 /\ -x2^post23+x2^0 == 0 /\ -x0^post23+x0^0 == 0 /\ oldX5^0-oldX5^post23 == 0 /\ oldX0^0-oldX0^post23 == 0 /\ -oldX2^post23+oldX2^0 == 0 /\ x1^0-x1^post23 == 0 /\ -oldX7^post23+oldX7^0 == 0 /\ x3^0-x3^post23 == 0 /\ oldX1^0-oldX1^post23 == 0 /\ oldX6^0-oldX6^post23 == 0 /\ oldX4^0-oldX4^post23 == 0), cost: 1 New rule: l14 -> l9 : TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l10 : oldX4^0'=oldX4^post24, oldX1^0'=oldX1^post24, x1^0'=x1^post24, oldX6^0'=oldX6^post24, oldX3^0'=oldX3^post24, x3^0'=x3^post24, oldX0^0'=oldX0^post24, x0^0'=x0^post24, oldX5^0'=oldX5^post24, oldX2^0'=oldX2^post24, x2^0'=x2^post24, oldX7^0'=oldX7^post24, (oldX0^0-oldX0^post24 == 0 /\ -oldX2^post24+oldX2^0 == 0 /\ -oldX3^post24+oldX3^0 == 0 /\ x0^0-x0^post24 == 0 /\ x3^0-x3^post24 == 0 /\ oldX6^0-oldX6^post24 == 0 /\ -oldX5^post24+oldX5^0 == 0 /\ oldX4^0-oldX4^post24 == 0 /\ oldX1^0-oldX1^post24 == 0 /\ -x2^post24+x2^0 == 0 /\ -oldX7^post24+oldX7^0 == 0 /\ x1^0-x1^post24 == 0), cost: 1 New rule: l14 -> l10 : TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l11 : oldX4^0'=oldX4^post25, oldX1^0'=oldX1^post25, x1^0'=x1^post25, oldX6^0'=oldX6^post25, oldX3^0'=oldX3^post25, x3^0'=x3^post25, oldX0^0'=oldX0^post25, x0^0'=x0^post25, oldX5^0'=oldX5^post25, oldX2^0'=oldX2^post25, x2^0'=x2^post25, oldX7^0'=oldX7^post25, (-x0^post25+x0^0 == 0 /\ -oldX6^post25+oldX6^0 == 0 /\ oldX1^0-oldX1^post25 == 0 /\ -oldX0^post25+oldX0^0 == 0 /\ -x2^post25+x2^0 == 0 /\ -oldX7^post25+oldX7^0 == 0 /\ -x3^post25+x3^0 == 0 /\ x1^0-x1^post25 == 0 /\ -oldX2^post25+oldX2^0 == 0 /\ oldX3^0-oldX3^post25 == 0 /\ -oldX5^post25+oldX5^0 == 0 /\ oldX4^0-oldX4^post25 == 0), cost: 1 New rule: l14 -> l11 : TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l12 : oldX4^0'=oldX4^post26, oldX1^0'=oldX1^post26, x1^0'=x1^post26, oldX6^0'=oldX6^post26, oldX3^0'=oldX3^post26, x3^0'=x3^post26, oldX0^0'=oldX0^post26, x0^0'=x0^post26, oldX5^0'=oldX5^post26, oldX2^0'=oldX2^post26, x2^0'=x2^post26, oldX7^0'=oldX7^post26, (-x3^post26+x3^0 == 0 /\ oldX3^0-oldX3^post26 == 0 /\ oldX4^0-oldX4^post26 == 0 /\ -oldX6^post26+oldX6^0 == 0 /\ oldX5^0-oldX5^post26 == 0 /\ -x2^post26+x2^0 == 0 /\ -oldX7^post26+oldX7^0 == 0 /\ -oldX0^post26+oldX0^0 == 0 /\ -x0^post26+x0^0 == 0 /\ x1^0-x1^post26 == 0 /\ -oldX2^post26+oldX2^0 == 0 /\ oldX1^0-oldX1^post26 == 0), cost: 1 New rule: l14 -> l12 : TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l7 : oldX4^0'=oldX4^post29, oldX1^0'=oldX1^post29, x1^0'=x1^post29, oldX6^0'=oldX6^post29, oldX3^0'=oldX3^post29, x3^0'=x3^post29, oldX0^0'=oldX0^post29, x0^0'=x0^post29, oldX5^0'=oldX5^post29, oldX2^0'=oldX2^post29, x2^0'=x2^post29, oldX7^0'=oldX7^post29, (-x3^post29+x3^0 == 0 /\ -oldX0^post29+oldX0^0 == 0 /\ oldX3^0-oldX3^post29 == 0 /\ oldX4^0-oldX4^post29 == 0 /\ x2^0-x2^post29 == 0 /\ -oldX6^post29+oldX6^0 == 0 /\ -oldX2^post29+oldX2^0 == 0 /\ -oldX7^post29+oldX7^0 == 0 /\ -x0^post29+x0^0 == 0 /\ oldX5^0-oldX5^post29 == 0 /\ x1^0-x1^post29 == 0 /\ oldX1^0-oldX1^post29 == 0), cost: 1 New rule: l14 -> l7 : TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l1 : oldX4^0'=oldX4^post30, oldX1^0'=oldX1^post30, x1^0'=x1^post30, oldX6^0'=oldX6^post30, oldX3^0'=oldX3^post30, x3^0'=x3^post30, oldX0^0'=oldX0^post30, x0^0'=x0^post30, oldX5^0'=oldX5^post30, oldX2^0'=oldX2^post30, x2^0'=x2^post30, oldX7^0'=oldX7^post30, (-oldX5^post30+oldX5^0 == 0 /\ -oldX3^post30+oldX3^0 == 0 /\ x0^0-x0^post30 == 0 /\ -oldX7^post30+oldX7^0 == 0 /\ -x2^post30+x2^0 == 0 /\ x3^0-x3^post30 == 0 /\ -oldX2^post30+oldX2^0 == 0 /\ oldX0^0-oldX0^post30 == 0 /\ oldX6^0-oldX6^post30 == 0 /\ oldX4^0-oldX4^post30 == 0 /\ -oldX1^post30+oldX1^0 == 0 /\ x1^0-x1^post30 == 0), cost: 1 New rule: l14 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l2 : oldX4^0'=oldX4^post31, oldX1^0'=oldX1^post31, x1^0'=x1^post31, oldX6^0'=oldX6^post31, oldX3^0'=oldX3^post31, x3^0'=x3^post31, oldX0^0'=oldX0^post31, x0^0'=x0^post31, oldX5^0'=oldX5^post31, oldX2^0'=oldX2^post31, x2^0'=x2^post31, oldX7^0'=oldX7^post31, (oldX2^0-oldX2^post31 == 0 /\ oldX4^0-oldX4^post31 == 0 /\ -oldX5^post31+oldX5^0 == 0 /\ x0^0-x0^post31 == 0 /\ -oldX3^post31+oldX3^0 == 0 /\ oldX1^0-oldX1^post31 == 0 /\ oldX6^0-oldX6^post31 == 0 /\ -oldX7^post31+oldX7^0 == 0 /\ -x2^post31+x2^0 == 0 /\ -oldX0^post31+oldX0^0 == 0 /\ -x1^post31+x1^0 == 0 /\ -x3^post31+x3^0 == 0), cost: 1 New rule: l14 -> l2 : TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l4 : oldX4^0'=oldX4^post32, oldX1^0'=oldX1^post32, x1^0'=x1^post32, oldX6^0'=oldX6^post32, oldX3^0'=oldX3^post32, x3^0'=x3^post32, oldX0^0'=oldX0^post32, x0^0'=x0^post32, oldX5^0'=oldX5^post32, oldX2^0'=oldX2^post32, x2^0'=x2^post32, oldX7^0'=oldX7^post32, (-oldX7^post32+oldX7^0 == 0 /\ x2^0-x2^post32 == 0 /\ -x0^post32+x0^0 == 0 /\ oldX1^0-oldX1^post32 == 0 /\ oldX3^0-oldX3^post32 == 0 /\ oldX4^0-oldX4^post32 == 0 /\ -x3^post32+x3^0 == 0 /\ -oldX0^post32+oldX0^0 == 0 /\ -oldX5^post32+oldX5^0 == 0 /\ x1^0-x1^post32 == 0 /\ -oldX2^post32+oldX2^0 == 0 /\ -oldX6^post32+oldX6^0 == 0), cost: 1 New rule: l14 -> l4 : TRUE, cost: 1 Applied preprocessing Original rule: l15 -> l14 : oldX4^0'=oldX4^post33, oldX1^0'=oldX1^post33, x1^0'=x1^post33, oldX6^0'=oldX6^post33, oldX3^0'=oldX3^post33, x3^0'=x3^post33, oldX0^0'=oldX0^post33, x0^0'=x0^post33, oldX5^0'=oldX5^post33, oldX2^0'=oldX2^post33, x2^0'=x2^post33, oldX7^0'=oldX7^post33, (x3^0-x3^post33 == 0 /\ -oldX1^post33+oldX1^0 == 0 /\ -x2^post33+x2^0 == 0 /\ -oldX2^post33+oldX2^0 == 0 /\ oldX5^0-oldX5^post33 == 0 /\ oldX0^0-oldX0^post33 == 0 /\ x1^0-x1^post33 == 0 /\ oldX6^0-oldX6^post33 == 0 /\ -oldX7^post33+oldX7^0 == 0 /\ oldX4^0-oldX4^post33 == 0 /\ -x0^post33+x0^0 == 0 /\ oldX3^0-oldX3^post33 == 0), cost: 1 New rule: l15 -> l14 : TRUE, cost: 1 Simplified rules Start location: l15 34: l0 -> l1 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 1 35: l0 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, 1-oldX5^post1+oldX4^post1 <= 0, cost: 1 47: l1 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 48: l2 -> l1 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 36: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 1 37: l3 -> l0 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0-x0^0 <= 0, cost: 1 49: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 39: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 45: l12 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 1 50: l14 -> l12 : oldX4^0'=oldX4^post18, oldX1^0'=x1^0, x1^0'=oldX4^post18, oldX6^0'=oldX6^post18, oldX3^0'=x3^0, x3^0'=oldX6^post18, oldX0^0'=x0^0, oldX5^0'=oldX5^post18, oldX2^0'=x2^0, x2^0'=oldX5^post18, 0 == 0, cost: 1 51: l14 -> l0 : TRUE, cost: 1 52: l14 -> l3 : TRUE, cost: 1 53: l14 -> l5 : TRUE, cost: 1 54: l14 -> l8 : TRUE, cost: 1 55: l14 -> l9 : TRUE, cost: 1 56: l14 -> l10 : TRUE, cost: 1 57: l14 -> l11 : TRUE, cost: 1 58: l14 -> l12 : TRUE, cost: 1 59: l14 -> l7 : TRUE, cost: 1 60: l14 -> l1 : TRUE, cost: 1 61: l14 -> l2 : TRUE, cost: 1 62: l14 -> l4 : TRUE, cost: 1 63: l15 -> l14 : TRUE, cost: 1 Eliminating location l14 by chaining: Applied chaining First rule: l15 -> l14 : TRUE, cost: 1 Second rule: l14 -> l12 : oldX4^0'=oldX4^post18, oldX1^0'=x1^0, x1^0'=oldX4^post18, oldX6^0'=oldX6^post18, oldX3^0'=x3^0, x3^0'=oldX6^post18, oldX0^0'=x0^0, oldX5^0'=oldX5^post18, oldX2^0'=x2^0, x2^0'=oldX5^post18, 0 == 0, cost: 1 New rule: l15 -> l12 : oldX4^0'=oldX4^post18, oldX1^0'=x1^0, x1^0'=oldX4^post18, oldX6^0'=oldX6^post18, oldX3^0'=x3^0, x3^0'=oldX6^post18, oldX0^0'=x0^0, oldX5^0'=oldX5^post18, oldX2^0'=x2^0, x2^0'=oldX5^post18, 0 == 0, cost: 2 Applied chaining First rule: l15 -> l14 : TRUE, cost: 1 Second rule: l14 -> l0 : TRUE, cost: 1 New rule: l15 -> l0 : TRUE, cost: 2 Applied chaining First rule: l15 -> l14 : TRUE, cost: 1 Second rule: l14 -> l3 : TRUE, cost: 1 New rule: l15 -> l3 : TRUE, cost: 2 Applied chaining First rule: l15 -> l14 : TRUE, cost: 1 Second rule: l14 -> l5 : TRUE, cost: 1 New rule: l15 -> l5 : TRUE, cost: 2 Applied chaining First rule: l15 -> l14 : TRUE, cost: 1 Second rule: l14 -> l8 : TRUE, cost: 1 New rule: l15 -> l8 : TRUE, cost: 2 Applied chaining First rule: l15 -> l14 : TRUE, cost: 1 Second rule: l14 -> l9 : TRUE, cost: 1 New rule: l15 -> l9 : TRUE, cost: 2 Applied chaining First rule: l15 -> l14 : TRUE, cost: 1 Second rule: l14 -> l10 : TRUE, cost: 1 New rule: l15 -> l10 : TRUE, cost: 2 Applied chaining First rule: l15 -> l14 : TRUE, cost: 1 Second rule: l14 -> l11 : TRUE, cost: 1 New rule: l15 -> l11 : TRUE, cost: 2 Applied chaining First rule: l15 -> l14 : TRUE, cost: 1 Second rule: l14 -> l12 : TRUE, cost: 1 New rule: l15 -> l12 : TRUE, cost: 2 Applied chaining First rule: l15 -> l14 : TRUE, cost: 1 Second rule: l14 -> l7 : TRUE, cost: 1 New rule: l15 -> l7 : TRUE, cost: 2 Applied chaining First rule: l15 -> l14 : TRUE, cost: 1 Second rule: l14 -> l1 : TRUE, cost: 1 New rule: l15 -> l1 : TRUE, cost: 2 Applied chaining First rule: l15 -> l14 : TRUE, cost: 1 Second rule: l14 -> l2 : TRUE, cost: 1 New rule: l15 -> l2 : TRUE, cost: 2 Applied chaining First rule: l15 -> l14 : TRUE, cost: 1 Second rule: l14 -> l4 : TRUE, cost: 1 New rule: l15 -> l4 : TRUE, cost: 2 Applied deletion Removed the following rules: 50 51 52 53 54 55 56 57 58 59 60 61 62 63 Eliminated locations on tree-shaped paths Start location: l15 34: l0 -> l1 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 1 35: l0 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, 1-oldX5^post1+oldX4^post1 <= 0, cost: 1 47: l1 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 48: l2 -> l1 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 36: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 1 37: l3 -> l0 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0-x0^0 <= 0, cost: 1 49: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 39: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 45: l12 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 1 64: l15 -> l12 : oldX4^0'=oldX4^post18, oldX1^0'=x1^0, x1^0'=oldX4^post18, oldX6^0'=oldX6^post18, oldX3^0'=x3^0, x3^0'=oldX6^post18, oldX0^0'=x0^0, oldX5^0'=oldX5^post18, oldX2^0'=x2^0, x2^0'=oldX5^post18, 0 == 0, cost: 2 65: l15 -> l0 : TRUE, cost: 2 66: l15 -> l3 : TRUE, cost: 2 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 72: l15 -> l12 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 74: l15 -> l1 : TRUE, cost: 2 75: l15 -> l2 : TRUE, cost: 2 76: l15 -> l4 : TRUE, cost: 2 Eliminating location l12 by chaining: Applied chaining First rule: l15 -> l12 : oldX4^0'=oldX4^post18, oldX1^0'=x1^0, x1^0'=oldX4^post18, oldX6^0'=oldX6^post18, oldX3^0'=x3^0, x3^0'=oldX6^post18, oldX0^0'=x0^0, oldX5^0'=oldX5^post18, oldX2^0'=x2^0, x2^0'=oldX5^post18, 0 == 0, cost: 2 Second rule: l12 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 1 New rule: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 Applied chaining First rule: l15 -> l12 : TRUE, cost: 2 Second rule: l12 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 1 New rule: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 Applied deletion Removed the following rules: 45 64 72 Eliminated locations on tree-shaped paths Start location: l15 34: l0 -> l1 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 1 35: l0 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, 1-oldX5^post1+oldX4^post1 <= 0, cost: 1 47: l1 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 48: l2 -> l1 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 36: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 1 37: l3 -> l0 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0-x0^0 <= 0, cost: 1 49: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 39: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 65: l15 -> l0 : TRUE, cost: 2 66: l15 -> l3 : TRUE, cost: 2 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 74: l15 -> l1 : TRUE, cost: 2 75: l15 -> l2 : TRUE, cost: 2 76: l15 -> l4 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 Eliminated location l0 Start location: l15 47: l1 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 48: l2 -> l1 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 36: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 1 79: l3 -> l1 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (1+x3^0-x0^0 <= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 2 80: l3 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (1+x3^0-x0^0 <= 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 2 49: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 39: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 66: l15 -> l3 : TRUE, cost: 2 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 74: l15 -> l1 : TRUE, cost: 2 75: l15 -> l2 : TRUE, cost: 2 76: l15 -> l4 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 81: l15 -> l1 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 3 82: l15 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, 1-oldX5^post1+oldX4^post1 <= 0, cost: 3 Eliminated location l1 Start location: l15 83: l2 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 2 36: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 1 80: l3 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (1+x3^0-x0^0 <= 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 2 85: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (1+x3^0-x0^0 <= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3 49: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 39: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 66: l15 -> l3 : TRUE, cost: 2 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 75: l15 -> l2 : TRUE, cost: 2 76: l15 -> l4 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 82: l15 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, 1-oldX5^post1+oldX4^post1 <= 0, cost: 3 84: l15 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 3 86: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 4 Applied acceleration Original rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (1+x3^0-x0^0 <= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3 New rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+n+x3^0, x3^0'=n+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-n-x3^0+x0^0 >= 0 /\ -1+n >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 3*n Sub-proof via acceration calculus written to file:///tmp/tmpnam_MlHEHH.txt Applied instantiation Original rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+n+x3^0, x3^0'=n+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-n-x3^0+x0^0 >= 0 /\ -1+n >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 3*n New rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -3*x3^0+3*x0^0 Applied simplification Original rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -3*x3^0+3*x0^0 New rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (oldX4^post0-oldX5^post0 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -3*x3^0+3*x0^0 Applied deletion Removed the following rules: 85 Accelerated simple loops Start location: l15 83: l2 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 2 36: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 1 80: l3 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (1+x3^0-x0^0 <= 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 2 88: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (oldX4^post0-oldX5^post0 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -3*x3^0+3*x0^0 49: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 39: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 66: l15 -> l3 : TRUE, cost: 2 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 75: l15 -> l2 : TRUE, cost: 2 76: l15 -> l4 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 82: l15 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, 1-oldX5^post1+oldX4^post1 <= 0, cost: 3 84: l15 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 3 86: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 4 Applied chaining First rule: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 Second rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (oldX4^post0-oldX5^post0 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -3*x3^0+3*x0^0 New rule: l8 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -2+3*x0^0-3*x2^0 Applied chaining First rule: l15 -> l3 : TRUE, cost: 2 Second rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (oldX4^post0-oldX5^post0 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -3*x3^0+3*x0^0 New rule: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (oldX4^post0-oldX5^post0 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: 2-3*x3^0+3*x0^0 Applied chaining First rule: l2 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 2 Second rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (oldX4^post0-oldX5^post0 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -3*x3^0+3*x0^0 New rule: l2 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -1-3*x3^0+3*x0^0 Applied chaining First rule: l15 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 3 Second rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (oldX4^post0-oldX5^post0 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -3*x3^0+3*x0^0 New rule: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -3*x3^0+3*x0^0 Applied chaining First rule: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 4 Second rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (oldX4^post0-oldX5^post0 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -3*x3^0+3*x0^0 New rule: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 1-3*x3^0+3*x0^0 Applied deletion Removed the following rules: 88 Chained accelerated rules with incoming rules Start location: l15 83: l2 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 2 91: l2 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -1-3*x3^0+3*x0^0 36: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 1 80: l3 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (1+x3^0-x0^0 <= 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 2 49: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 39: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 89: l8 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -2+3*x0^0-3*x2^0 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 66: l15 -> l3 : TRUE, cost: 2 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 75: l15 -> l2 : TRUE, cost: 2 76: l15 -> l4 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 82: l15 -> l2 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, 1-oldX5^post1+oldX4^post1 <= 0, cost: 3 84: l15 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 3 86: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 4 90: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (oldX4^post0-oldX5^post0 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: 2-3*x3^0+3*x0^0 92: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -3*x3^0+3*x0^0 93: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 1-3*x3^0+3*x0^0 Eliminated location l2 Start location: l15 36: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 1 96: l3 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (1+x3^0-x0^0 <= 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 4 97: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 1-3*x3^0+3*x0^0 49: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 39: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 89: l8 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -2+3*x0^0-3*x2^0 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 66: l15 -> l3 : TRUE, cost: 2 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 76: l15 -> l4 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 84: l15 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 3 86: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 4 90: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (oldX4^post0-oldX5^post0 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: 2-3*x3^0+3*x0^0 92: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -3*x3^0+3*x0^0 93: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 1-3*x3^0+3*x0^0 94: l15 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 4 95: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1-3*x3^0+3*x0^0 98: l15 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, 1-oldX5^post1+oldX4^post1 <= 0, cost: 5 99: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 2-3*x3^0+3*x0^0 Applied pruning (of leafs and parallel rules): Start location: l15 36: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 1 96: l3 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (1+x3^0-x0^0 <= 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 4 97: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 1-3*x3^0+3*x0^0 49: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 39: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 89: l8 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -2+3*x0^0-3*x2^0 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 66: l15 -> l3 : TRUE, cost: 2 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 76: l15 -> l4 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 86: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 4 93: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 1-3*x3^0+3*x0^0 94: l15 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 4 95: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1-3*x3^0+3*x0^0 Applied simplification Original rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 1-3*x3^0+3*x0^0 New rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1-3*x3^0+3*x0^0 Simplified simple loops Start location: l15 36: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 1 96: l3 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (1+x3^0-x0^0 <= 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 4 100: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1-3*x3^0+3*x0^0 49: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 39: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 89: l8 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -2+3*x0^0-3*x2^0 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 66: l15 -> l3 : TRUE, cost: 2 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 76: l15 -> l4 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 86: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 4 93: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 1-3*x3^0+3*x0^0 94: l15 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 4 95: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1-3*x3^0+3*x0^0 Applied acceleration Original rule: l3 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (1+x3^0-x0^0 <= 0 /\ 1-oldX5^post1+oldX4^post1 <= 0), cost: 4 New rule: l3 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x3^0+n0, x3^0'=x3^0+n0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-1+n0 >= 0 /\ -x3^0+x0^0-n0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: 4*n0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_nGLmLB.txt Applied instantiation Original rule: l3 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x3^0+n0, x3^0'=x3^0+n0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-1+n0 >= 0 /\ -x3^0+x0^0-n0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: 4*n0 New rule: l3 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -4*x3^0+4*x0^0 Applied simplification Original rule: l3 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -4*x3^0+4*x0^0 New rule: l3 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-1+oldX5^post1-oldX4^post1 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -4*x3^0+4*x0^0 Applied deletion Removed the following rules: 96 Accelerated simple loops Start location: l15 36: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 1 100: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1-3*x3^0+3*x0^0 102: l3 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-1+oldX5^post1-oldX4^post1 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -4*x3^0+4*x0^0 49: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 39: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 89: l8 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -2+3*x0^0-3*x2^0 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 66: l15 -> l3 : TRUE, cost: 2 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 76: l15 -> l4 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 86: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 4 93: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 1-3*x3^0+3*x0^0 94: l15 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 4 95: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1-3*x3^0+3*x0^0 Applied chaining First rule: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 Second rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1-3*x3^0+3*x0^0 New rule: l8 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-3+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -1+3*x0^0-3*x2^0 Applied chaining First rule: l15 -> l3 : TRUE, cost: 2 Second rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1-3*x3^0+3*x0^0 New rule: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 3-3*x3^0+3*x0^0 Applied chaining First rule: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 4 Second rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1-3*x3^0+3*x0^0 New rule: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-3-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 2-3*x3^0+3*x0^0 Applied chaining First rule: l15 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 4 Second rule: l3 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1-3*x3^0+3*x0^0 New rule: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-3-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 2-3*x3^0+3*x0^0 Applied chaining First rule: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 Second rule: l3 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-1+oldX5^post1-oldX4^post1 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -4*x3^0+4*x0^0 New rule: l8 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-2+x0^0-x2^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: -3+4*x0^0-4*x2^0 Applied chaining First rule: l15 -> l3 : TRUE, cost: 2 Second rule: l3 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-1+oldX5^post1-oldX4^post1 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -4*x3^0+4*x0^0 New rule: l15 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-1+oldX5^post1-oldX4^post1 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: 2-4*x3^0+4*x0^0 Applied chaining First rule: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 4 Second rule: l3 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-1+oldX5^post1-oldX4^post1 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -4*x3^0+4*x0^0 New rule: l15 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: -4*x3^0+4*x0^0 Applied chaining First rule: l15 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 4 Second rule: l3 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-1+oldX5^post1-oldX4^post1 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: -4*x3^0+4*x0^0 New rule: l15 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: -4*x3^0+4*x0^0 Applied deletion Removed the following rules: 100 102 Chained accelerated rules with incoming rules Start location: l15 36: l3 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 1 49: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 39: l8 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 89: l8 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -2+3*x0^0-3*x2^0 103: l8 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-3+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -1+3*x0^0-3*x2^0 107: l8 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-2+x0^0-x2^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: -3+4*x0^0-4*x2^0 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 66: l15 -> l3 : TRUE, cost: 2 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 76: l15 -> l4 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 86: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, -oldX4^post0+oldX5^post0 <= 0, cost: 4 93: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 1-3*x3^0+3*x0^0 94: l15 -> l3 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 4 95: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1-3*x3^0+3*x0^0 104: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 3-3*x3^0+3*x0^0 105: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-3-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 2-3*x3^0+3*x0^0 106: l15 -> l3 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-3-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 2-3*x3^0+3*x0^0 108: l15 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-1+oldX5^post1-oldX4^post1 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: 2-4*x3^0+4*x0^0 109: l15 -> l3 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=-1+x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: -4*x3^0+4*x0^0 Eliminated location l3 Start location: l15 49: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 110: l8 -> l4 : oldX1^0'=x1^0, oldX3^0'=1+x2^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 2 113: l8 -> l4 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -1+3*x0^0-3*x2^0 117: l8 -> l4 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-3+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 3*x0^0-3*x2^0 121: l8 -> l4 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-2+x0^0-x2^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: -2+4*x0^0-4*x2^0 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 76: l15 -> l4 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 111: l15 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 3 112: l15 -> l4 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=1+x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-1-x3^0+x0^0 <= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 5 114: l15 -> l4 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 2-3*x3^0+3*x0^0 115: l15 -> l4 : oldX1^0'=x1^0, oldX3^0'=1+x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1-x3^0+x0^0 <= 0, cost: 5 116: l15 -> l4 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 2-3*x3^0+3*x0^0 118: l15 -> l4 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 4-3*x3^0+3*x0^0 119: l15 -> l4 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-3-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 120: l15 -> l4 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-3-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 3-3*x3^0+3*x0^0 122: l15 -> l4 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-1+oldX5^post1-oldX4^post1 >= 0 /\ -1-x3^0+x0^0 >= 0), cost: 3-4*x3^0+4*x0^0 123: l15 -> l4 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: 1-4*x3^0+4*x0^0 Applied pruning (of leafs and parallel rules): Start location: l15 49: l4 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 1 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 110: l8 -> l4 : oldX1^0'=x1^0, oldX3^0'=1+x2^0, x3^0'=1+x2^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 2 113: l8 -> l4 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: -1+3*x0^0-3*x2^0 117: l8 -> l4 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-3+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 3*x0^0-3*x2^0 121: l8 -> l4 : oldX4^0'=oldX4^post1, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, (-2+x0^0-x2^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: -2+4*x0^0-4*x2^0 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 76: l15 -> l4 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 111: l15 -> l4 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -x3^0+x0^0 <= 0, cost: 3 114: l15 -> l4 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 2-3*x3^0+3*x0^0 115: l15 -> l4 : oldX1^0'=x1^0, oldX3^0'=1+x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1-x3^0+x0^0 <= 0, cost: 5 118: l15 -> l4 : oldX4^0'=oldX4^post0, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=x0^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 4-3*x3^0+3*x0^0 Eliminated location l4 Start location: l15 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 125: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=1+x2^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -1+x0^0-x2^0 <= 0, cost: 3 127: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 3*x0^0-3*x2^0 130: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-3+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1+3*x0^0-3*x2^0 132: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: -1+4*x0^0-4*x2^0 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 124: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 3 126: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -x3^0+x0^0 <= 0, cost: 4 128: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 129: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=1+x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -1-x3^0+x0^0 <= 0, cost: 6 131: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 5-3*x3^0+3*x0^0 Applied pruning (of leafs and parallel rules): Start location: l15 38: l5 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 1 46: l7 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, TRUE, cost: 1 125: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=1+x2^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -1+x0^0-x2^0 <= 0, cost: 3 127: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 3*x0^0-3*x2^0 130: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-3+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1+3*x0^0-3*x2^0 132: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: -1+4*x0^0-4*x2^0 40: l9 -> l5 : oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x0^0-x2^0 <= 0, cost: 1 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 67: l15 -> l5 : TRUE, cost: 2 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 124: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 3 126: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -x3^0+x0^0 <= 0, cost: 4 128: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 131: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 5-3*x3^0+3*x0^0 Eliminated location l5 Start location: l15 134: l7 -> l7 : oldX1^0'=x1^0, oldX3^0'=1+x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 3+x3^0-x0^0 <= 0, cost: 2 125: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=1+x2^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -1+x0^0-x2^0 <= 0, cost: 3 127: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 3*x0^0-3*x2^0 130: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-3+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1+3*x0^0-3*x2^0 132: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: -1+4*x0^0-4*x2^0 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 133: l9 -> l7 : oldX1^0'=x1^0, oldX3^0'=0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, (-2+x0^0 >= 0 /\ -1+x0^0-x2^0 <= 0), cost: 2 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 124: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 3 126: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -x3^0+x0^0 <= 0, cost: 4 128: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 131: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 5-3*x3^0+3*x0^0 135: l15 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 3 Applied acceleration Original rule: l7 -> l7 : oldX1^0'=x1^0, oldX3^0'=1+x3^0, x3^0'=1+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 3+x3^0-x0^0 <= 0, cost: 2 New rule: l7 -> l7 : oldX1^0'=x1^0, oldX3^0'=n3+x3^0, x3^0'=n3+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, (-1+n3 >= 0 /\ -2-n3-x3^0+x0^0 >= 0), cost: 2*n3 Sub-proof via acceration calculus written to file:///tmp/tmpnam_EEoFNJ.txt Applied instantiation Original rule: l7 -> l7 : oldX1^0'=x1^0, oldX3^0'=n3+x3^0, x3^0'=n3+x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, (-1+n3 >= 0 /\ -2-n3-x3^0+x0^0 >= 0), cost: 2*n3 New rule: l7 -> l7 : oldX1^0'=x1^0, oldX3^0'=-2+x0^0, x3^0'=-2+x0^0, oldX0^0'=x0^0, oldX2^0'=x2^0, (0 >= 0 /\ -3-x3^0+x0^0 >= 0), cost: -4-2*x3^0+2*x0^0 Applied simplification Original rule: l7 -> l7 : oldX1^0'=x1^0, oldX3^0'=-2+x0^0, x3^0'=-2+x0^0, oldX0^0'=x0^0, oldX2^0'=x2^0, (0 >= 0 /\ -3-x3^0+x0^0 >= 0), cost: -4-2*x3^0+2*x0^0 New rule: l7 -> l7 : oldX1^0'=x1^0, oldX3^0'=-2+x0^0, x3^0'=-2+x0^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -3-x3^0+x0^0 >= 0, cost: -4-2*x3^0+2*x0^0 Applied deletion Removed the following rules: 134 Accelerated simple loops Start location: l15 137: l7 -> l7 : oldX1^0'=x1^0, oldX3^0'=-2+x0^0, x3^0'=-2+x0^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -3-x3^0+x0^0 >= 0, cost: -4-2*x3^0+2*x0^0 125: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=1+x2^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -1+x0^0-x2^0 <= 0, cost: 3 127: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 3*x0^0-3*x2^0 130: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-3+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1+3*x0^0-3*x2^0 132: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: -1+4*x0^0-4*x2^0 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 133: l9 -> l7 : oldX1^0'=x1^0, oldX3^0'=0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, (-2+x0^0 >= 0 /\ -1+x0^0-x2^0 <= 0), cost: 2 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 124: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 3 126: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -x3^0+x0^0 <= 0, cost: 4 128: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 131: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 5-3*x3^0+3*x0^0 135: l15 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 3 Applied chaining First rule: l15 -> l7 : TRUE, cost: 2 Second rule: l7 -> l7 : oldX1^0'=x1^0, oldX3^0'=-2+x0^0, x3^0'=-2+x0^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -3-x3^0+x0^0 >= 0, cost: -4-2*x3^0+2*x0^0 New rule: l15 -> l7 : oldX1^0'=x1^0, oldX3^0'=-2+x0^0, x3^0'=-2+x0^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -3-x3^0+x0^0 >= 0, cost: -2-2*x3^0+2*x0^0 Applied chaining First rule: l9 -> l7 : oldX1^0'=x1^0, oldX3^0'=0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, (-2+x0^0 >= 0 /\ -1+x0^0-x2^0 <= 0), cost: 2 Second rule: l7 -> l7 : oldX1^0'=x1^0, oldX3^0'=-2+x0^0, x3^0'=-2+x0^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -3-x3^0+x0^0 >= 0, cost: -4-2*x3^0+2*x0^0 New rule: l9 -> l7 : oldX1^0'=x1^0, oldX3^0'=-2+x0^0, x3^0'=-2+x0^0, oldX0^0'=x0^0, oldX2^0'=x2^0, (-3+x0^0 >= 0 /\ -1+x0^0-x2^0 <= 0), cost: -2+2*x0^0 Applied chaining First rule: l15 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 3 Second rule: l7 -> l7 : oldX1^0'=x1^0, oldX3^0'=-2+x0^0, x3^0'=-2+x0^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -3-x3^0+x0^0 >= 0, cost: -4-2*x3^0+2*x0^0 New rule: l15 -> l7 : oldX1^0'=x1^0, oldX3^0'=-2+x0^0, x3^0'=-2+x0^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -3-x3^0+x0^0 >= 0, cost: -1-2*x3^0+2*x0^0 Applied deletion Removed the following rules: 137 Chained accelerated rules with incoming rules Start location: l15 125: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=1+x2^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -1+x0^0-x2^0 <= 0, cost: 3 127: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 3*x0^0-3*x2^0 130: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-3+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1+3*x0^0-3*x2^0 132: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: -1+4*x0^0-4*x2^0 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 133: l9 -> l7 : oldX1^0'=x1^0, oldX3^0'=0, x3^0'=0, oldX0^0'=x0^0, oldX2^0'=x2^0, (-2+x0^0 >= 0 /\ -1+x0^0-x2^0 <= 0), cost: 2 139: l9 -> l7 : oldX1^0'=x1^0, oldX3^0'=-2+x0^0, x3^0'=-2+x0^0, oldX0^0'=x0^0, oldX2^0'=x2^0, (-3+x0^0 >= 0 /\ -1+x0^0-x2^0 <= 0), cost: -2+2*x0^0 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 73: l15 -> l7 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 124: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 3 126: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -x3^0+x0^0 <= 0, cost: 4 128: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 131: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 5-3*x3^0+3*x0^0 135: l15 -> l7 : oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 2+x3^0-x0^0 <= 0, cost: 3 138: l15 -> l7 : oldX1^0'=x1^0, oldX3^0'=-2+x0^0, x3^0'=-2+x0^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -3-x3^0+x0^0 >= 0, cost: -2-2*x3^0+2*x0^0 140: l15 -> l7 : oldX1^0'=x1^0, oldX3^0'=-2+x0^0, x3^0'=-2+x0^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -3-x3^0+x0^0 >= 0, cost: -1-2*x3^0+2*x0^0 Removed unreachable locations and irrelevant leafs Start location: l15 125: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=1+x2^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -1+x0^0-x2^0 <= 0, cost: 3 127: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 3*x0^0-3*x2^0 130: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-3+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1+3*x0^0-3*x2^0 132: l8 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: -1+4*x0^0-4*x2^0 41: l9 -> l8 : oldX4^0'=oldX4^post8, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post8, oldX0^0'=x0^0, oldX2^0'=x2^0, 2-x0^0+x2^0 <= 0, cost: 1 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 68: l15 -> l8 : TRUE, cost: 2 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 124: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 3 126: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -x3^0+x0^0 <= 0, cost: 4 128: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 131: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 5-3*x3^0+3*x0^0 Eliminated location l8 Start location: l15 141: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (2-x0^0+x2^0 <= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1+3*x0^0-3*x2^0 142: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-3+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 2+3*x0^0-3*x2^0 143: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, x2^0'=1+x2^0, (2-x0^0+x2^0 <= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: 4*x0^0-4*x2^0 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 124: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 3 126: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -x3^0+x0^0 <= 0, cost: 4 128: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 131: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 5-3*x3^0+3*x0^0 144: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=1+x2^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, -1+x0^0-x2^0 <= 0, cost: 5 145: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 2+3*x0^0-3*x2^0 146: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-3+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 3+3*x0^0-3*x2^0 147: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: 1+4*x0^0-4*x2^0 Applied pruning (of leafs and parallel rules): Start location: l15 141: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (2-x0^0+x2^0 <= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1+3*x0^0-3*x2^0 142: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-3+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 2+3*x0^0-3*x2^0 143: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, x2^0'=1+x2^0, (2-x0^0+x2^0 <= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: 4*x0^0-4*x2^0 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 124: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 3 128: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 131: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 5-3*x3^0+3*x0^0 145: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 2+3*x0^0-3*x2^0 Applied simplification Original rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (2-x0^0+x2^0 <= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 1+3*x0^0-3*x2^0 New rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, 2-x0^0+x2^0 <= 0, cost: 1+3*x0^0-3*x2^0 Applied simplification Original rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-3+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 2+3*x0^0-3*x2^0 New rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, -3+x0^0-x2^0 >= 0, cost: 2+3*x0^0-3*x2^0 Applied simplification Original rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, x2^0'=1+x2^0, (2-x0^0+x2^0 <= 0 /\ -1+oldX5^post1-oldX4^post1 >= 0), cost: 4*x0^0-4*x2^0 New rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, x2^0'=1+x2^0, 2-x0^0+x2^0 <= 0, cost: 4*x0^0-4*x2^0 Simplified simple loops Start location: l15 148: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, 2-x0^0+x2^0 <= 0, cost: 1+3*x0^0-3*x2^0 149: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, -3+x0^0-x2^0 >= 0, cost: 2+3*x0^0-3*x2^0 150: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, x2^0'=1+x2^0, 2-x0^0+x2^0 <= 0, cost: 4*x0^0-4*x2^0 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 124: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 3 128: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 131: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 5-3*x3^0+3*x0^0 145: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 2+3*x0^0-3*x2^0 Applied acceleration Original rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, 2-x0^0+x2^0 <= 0, cost: 1+3*x0^0-3*x2^0 New rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-1+n4+x2^0, x2^0'=n4+x2^0, (-1+x0^0-n4-x2^0 >= 0 /\ -1+n4 >= 0), cost: -3/2*n4^2-3*n4*x2^0+5/2*n4+3*x0^0*n4 Sub-proof via acceration calculus written to file:///tmp/tmpnam_jicbpo.txt Applied instantiation Original rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-1+n4+x2^0, x2^0'=n4+x2^0, (-1+x0^0-n4-x2^0 >= 0 /\ -1+n4 >= 0), cost: -3/2*n4^2-3*n4*x2^0+5/2*n4+3*x0^0*n4 New rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (0 >= 0 /\ -2+x0^0-x2^0 >= 0), cost: -5/2+3*(-1+x0^0-x2^0)*x0^0+5/2*x0^0-5/2*x2^0-3*(-1+x0^0-x2^0)*x2^0-3/2*(-1+x0^0-x2^0)^2 Applied acceleration Original rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, -3+x0^0-x2^0 >= 0, cost: 2+3*x0^0-3*x2^0 New rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-1+n5+x2^0, x2^0'=n5+x2^0, (-2-n5+x0^0-x2^0 >= 0 /\ -1+n5 >= 0), cost: 3*n5*x0^0+7/2*n5-3*n5*x2^0-3/2*n5^2 Sub-proof via acceration calculus written to file:///tmp/tmpnam_JkcOFb.txt Applied instantiation Original rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-1+n5+x2^0, x2^0'=n5+x2^0, (-2-n5+x0^0-x2^0 >= 0 /\ -1+n5 >= 0), cost: 3*n5*x0^0+7/2*n5-3*n5*x2^0-3/2*n5^2 New rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, (0 >= 0 /\ -3+x0^0-x2^0 >= 0), cost: -7-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*x2^0+7/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-7/2*x2^0 Applied acceleration Original rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=x2^0, x2^0'=1+x2^0, 2-x0^0+x2^0 <= 0, cost: 4*x0^0-4*x2^0 New rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-1+n6+x2^0, x2^0'=n6+x2^0, (-1+n6 >= 0 /\ -1-n6+x0^0-x2^0 >= 0), cost: 2*n6-4*n6*x2^0-2*n6^2+4*n6*x0^0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_kAPEcK.txt Applied instantiation Original rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-1+n6+x2^0, x2^0'=n6+x2^0, (-1+n6 >= 0 /\ -1-n6+x0^0-x2^0 >= 0), cost: 2*n6-4*n6*x2^0-2*n6^2+4*n6*x0^0 New rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (0 >= 0 /\ -2+x0^0-x2^0 >= 0), cost: -2+4*(-1+x0^0-x2^0)*x0^0+2*x0^0-2*x2^0-4*(-1+x0^0-x2^0)*x2^0-2*(-1+x0^0-x2^0)^2 Applied simplification Original rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (0 >= 0 /\ -2+x0^0-x2^0 >= 0), cost: -5/2+3*(-1+x0^0-x2^0)*x0^0+5/2*x0^0-5/2*x2^0-3*(-1+x0^0-x2^0)*x2^0-3/2*(-1+x0^0-x2^0)^2 New rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -5/2+3*(-1+x0^0-x2^0)*x0^0+5/2*x0^0-5/2*x2^0-3*(-1+x0^0-x2^0)*x2^0-3/2*(-1+x0^0-x2^0)^2 Applied simplification Original rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, (0 >= 0 /\ -3+x0^0-x2^0 >= 0), cost: -7-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*x2^0+7/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-7/2*x2^0 New rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, -3+x0^0-x2^0 >= 0, cost: -7-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*x2^0+7/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-7/2*x2^0 Applied simplification Original rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (0 >= 0 /\ -2+x0^0-x2^0 >= 0), cost: -2+4*(-1+x0^0-x2^0)*x0^0+2*x0^0-2*x2^0-4*(-1+x0^0-x2^0)*x2^0-2*(-1+x0^0-x2^0)^2 New rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -2+4*(-1+x0^0-x2^0)*x0^0+2*x0^0-2*x2^0-4*(-1+x0^0-x2^0)*x2^0-2*(-1+x0^0-x2^0)^2 Applied deletion Removed the following rules: 148 149 150 Accelerated simple loops Start location: l15 154: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -5/2+3*(-1+x0^0-x2^0)*x0^0+5/2*x0^0-5/2*x2^0-3*(-1+x0^0-x2^0)*x2^0-3/2*(-1+x0^0-x2^0)^2 155: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, -3+x0^0-x2^0 >= 0, cost: -7-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*x2^0+7/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-7/2*x2^0 156: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -2+4*(-1+x0^0-x2^0)*x0^0+2*x0^0-2*x2^0-4*(-1+x0^0-x2^0)*x2^0-2*(-1+x0^0-x2^0)^2 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 124: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 3 128: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 131: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 5-3*x3^0+3*x0^0 145: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 2+3*x0^0-3*x2^0 Applied chaining First rule: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -5/2+3*(-1+x0^0-x2^0)*x0^0+5/2*x0^0-5/2*x2^0-3*(-1+x0^0-x2^0)*x2^0-3/2*(-1+x0^0-x2^0)^2 New rule: l11 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (-2+x0^0 >= 0 /\ -1-x1^0+x0^0 <= 0), cost: -3/2-3/2*(-1+x0^0)^2+5/2*x0^0+3*x0^0*(-1+x0^0) Applied chaining First rule: l15 -> l9 : TRUE, cost: 2 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -5/2+3*(-1+x0^0-x2^0)*x0^0+5/2*x0^0-5/2*x2^0-3*(-1+x0^0-x2^0)*x2^0-3/2*(-1+x0^0-x2^0)^2 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -1/2+3*(-1+x0^0-x2^0)*x0^0+5/2*x0^0-5/2*x2^0-3*(-1+x0^0-x2^0)*x2^0-3/2*(-1+x0^0-x2^0)^2 Applied chaining First rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 3 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -5/2+3*(-1+x0^0-x2^0)*x0^0+5/2*x0^0-5/2*x2^0-3*(-1+x0^0-x2^0)*x2^0-3/2*(-1+x0^0-x2^0)^2 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -3+x0^0-x2^0 >= 0, cost: -2-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*(1+x2^0)+5/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-5/2*x2^0 Applied chaining First rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -5/2+3*(-1+x0^0-x2^0)*x0^0+5/2*x0^0-5/2*x2^0-3*(-1+x0^0-x2^0)*x2^0-3/2*(-1+x0^0-x2^0)^2 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (-2-x3^0+x0^0 >= 0 /\ -3+x0^0-x2^0 >= 0), cost: -2-3/2*(-2+x0^0-x2^0)^2-3*x3^0-3*(-2+x0^0-x2^0)*(1+x2^0)+11/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-5/2*x2^0 Applied chaining First rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 5-3*x3^0+3*x0^0 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -5/2+3*(-1+x0^0-x2^0)*x0^0+5/2*x0^0-5/2*x2^0-3*(-1+x0^0-x2^0)*x2^0-3/2*(-1+x0^0-x2^0)^2 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (-2-x3^0+x0^0 >= 0 /\ -3+x0^0-x2^0 >= 0), cost: -3/2*(-2+x0^0-x2^0)^2-3*x3^0-3*(-2+x0^0-x2^0)*(1+x2^0)+11/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-5/2*x2^0 Applied chaining First rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 2+3*x0^0-3*x2^0 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -5/2+3*(-1+x0^0-x2^0)*x0^0+5/2*x0^0-5/2*x2^0-3*(-1+x0^0-x2^0)*x2^0-3/2*(-1+x0^0-x2^0)^2 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -3+x0^0-x2^0 >= 0, cost: -3-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*(1+x2^0)+11/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-11/2*x2^0 Applied chaining First rule: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, -3+x0^0-x2^0 >= 0, cost: -7-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*x2^0+7/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-7/2*x2^0 New rule: l11 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, (-3+x0^0 >= 0 /\ -1-x1^0+x0^0 <= 0), cost: -6+7/2*x0^0-3/2*(-2+x0^0)^2+3*(-2+x0^0)*x0^0 Applied chaining First rule: l15 -> l9 : TRUE, cost: 2 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, -3+x0^0-x2^0 >= 0, cost: -7-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*x2^0+7/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-7/2*x2^0 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, -3+x0^0-x2^0 >= 0, cost: -5-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*x2^0+7/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-7/2*x2^0 Applied chaining First rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 3 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, -3+x0^0-x2^0 >= 0, cost: -7-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*x2^0+7/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-7/2*x2^0 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, -4+x0^0-x2^0 >= 0, cost: -15/2+3*(-3+x0^0-x2^0)*x0^0-3*(-3+x0^0-x2^0)*(1+x2^0)-3/2*(-3+x0^0-x2^0)^2+7/2*x0^0-7/2*x2^0 Applied chaining First rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, -3+x0^0-x2^0 >= 0, cost: -7-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*x2^0+7/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-7/2*x2^0 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, (-4+x0^0-x2^0 >= 0 /\ -2-x3^0+x0^0 >= 0), cost: -15/2+3*(-3+x0^0-x2^0)*x0^0-3*(-3+x0^0-x2^0)*(1+x2^0)-3/2*(-3+x0^0-x2^0)^2-3*x3^0+13/2*x0^0-7/2*x2^0 Applied chaining First rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 5-3*x3^0+3*x0^0 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, -3+x0^0-x2^0 >= 0, cost: -7-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*x2^0+7/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-7/2*x2^0 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, (-4+x0^0-x2^0 >= 0 /\ -2-x3^0+x0^0 >= 0), cost: -11/2+3*(-3+x0^0-x2^0)*x0^0-3*(-3+x0^0-x2^0)*(1+x2^0)-3/2*(-3+x0^0-x2^0)^2-3*x3^0+13/2*x0^0-7/2*x2^0 Applied chaining First rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 2+3*x0^0-3*x2^0 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, -3+x0^0-x2^0 >= 0, cost: -7-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*x2^0+7/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-7/2*x2^0 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, -4+x0^0-x2^0 >= 0, cost: -17/2+3*(-3+x0^0-x2^0)*x0^0-3*(-3+x0^0-x2^0)*(1+x2^0)-3/2*(-3+x0^0-x2^0)^2+13/2*x0^0-13/2*x2^0 Applied chaining First rule: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -2+4*(-1+x0^0-x2^0)*x0^0+2*x0^0-2*x2^0-4*(-1+x0^0-x2^0)*x2^0-2*(-1+x0^0-x2^0)^2 New rule: l11 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (-2+x0^0 >= 0 /\ -1-x1^0+x0^0 <= 0), cost: -1-2*(-1+x0^0)^2+2*x0^0+4*x0^0*(-1+x0^0) Applied chaining First rule: l15 -> l9 : TRUE, cost: 2 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -2+4*(-1+x0^0-x2^0)*x0^0+2*x0^0-2*x2^0-4*(-1+x0^0-x2^0)*x2^0-2*(-1+x0^0-x2^0)^2 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: 4*(-1+x0^0-x2^0)*x0^0+2*x0^0-2*x2^0-4*(-1+x0^0-x2^0)*x2^0-2*(-1+x0^0-x2^0)^2 Applied chaining First rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 3 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -2+4*(-1+x0^0-x2^0)*x0^0+2*x0^0-2*x2^0-4*(-1+x0^0-x2^0)*x2^0-2*(-1+x0^0-x2^0)^2 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -3+x0^0-x2^0 >= 0, cost: -1-2*(-2+x0^0-x2^0)^2-4*(-2+x0^0-x2^0)*(1+x2^0)+2*x0^0+4*(-2+x0^0-x2^0)*x0^0-2*x2^0 Applied chaining First rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -2+4*(-1+x0^0-x2^0)*x0^0+2*x0^0-2*x2^0-4*(-1+x0^0-x2^0)*x2^0-2*(-1+x0^0-x2^0)^2 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (-2-x3^0+x0^0 >= 0 /\ -3+x0^0-x2^0 >= 0), cost: -1-2*(-2+x0^0-x2^0)^2-3*x3^0-4*(-2+x0^0-x2^0)*(1+x2^0)+5*x0^0+4*(-2+x0^0-x2^0)*x0^0-2*x2^0 Applied chaining First rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 5-3*x3^0+3*x0^0 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -2+4*(-1+x0^0-x2^0)*x0^0+2*x0^0-2*x2^0-4*(-1+x0^0-x2^0)*x2^0-2*(-1+x0^0-x2^0)^2 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (-2-x3^0+x0^0 >= 0 /\ -3+x0^0-x2^0 >= 0), cost: 1-2*(-2+x0^0-x2^0)^2-3*x3^0-4*(-2+x0^0-x2^0)*(1+x2^0)+5*x0^0+4*(-2+x0^0-x2^0)*x0^0-2*x2^0 Applied chaining First rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 2+3*x0^0-3*x2^0 Second rule: l9 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -2+4*(-1+x0^0-x2^0)*x0^0+2*x0^0-2*x2^0-4*(-1+x0^0-x2^0)*x2^0-2*(-1+x0^0-x2^0)^2 New rule: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -3+x0^0-x2^0 >= 0, cost: -2-2*(-2+x0^0-x2^0)^2-4*(-2+x0^0-x2^0)*(1+x2^0)+5*x0^0+4*(-2+x0^0-x2^0)*x0^0-5*x2^0 Applied deletion Removed the following rules: 154 155 156 Chained accelerated rules with incoming rules Start location: l15 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 43: l11 -> l9 : oldX4^0'=x3^post10, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=x3^post10, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=0, -1-x1^0+x0^0 <= 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 157: l11 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (-2+x0^0 >= 0 /\ -1-x1^0+x0^0 <= 0), cost: -3/2-3/2*(-1+x0^0)^2+5/2*x0^0+3*x0^0*(-1+x0^0) 163: l11 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, (-3+x0^0 >= 0 /\ -1-x1^0+x0^0 <= 0), cost: -6+7/2*x0^0-3/2*(-2+x0^0)^2+3*(-2+x0^0)*x0^0 169: l11 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (-2+x0^0 >= 0 /\ -1-x1^0+x0^0 <= 0), cost: -1-2*(-1+x0^0)^2+2*x0^0+4*x0^0*(-1+x0^0) 69: l15 -> l9 : TRUE, cost: 2 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 124: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX2^0'=x2^0, x2^0'=1+x2^0, 0 == 0, cost: 3 128: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ -oldX4^post0+oldX5^post0 <= 0), cost: 3-3*x3^0+3*x0^0 131: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2-x3^0+x0^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 5-3*x3^0+3*x0^0 145: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=x2^0, x2^0'=1+x2^0, (-2+x0^0-x2^0 >= 0 /\ oldX4^post0-oldX5^post0 >= 0), cost: 2+3*x0^0-3*x2^0 158: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: -1/2+3*(-1+x0^0-x2^0)*x0^0+5/2*x0^0-5/2*x2^0-3*(-1+x0^0-x2^0)*x2^0-3/2*(-1+x0^0-x2^0)^2 159: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -3+x0^0-x2^0 >= 0, cost: -2-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*(1+x2^0)+5/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-5/2*x2^0 160: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (-2-x3^0+x0^0 >= 0 /\ -3+x0^0-x2^0 >= 0), cost: -2-3/2*(-2+x0^0-x2^0)^2-3*x3^0-3*(-2+x0^0-x2^0)*(1+x2^0)+11/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-5/2*x2^0 161: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (-2-x3^0+x0^0 >= 0 /\ -3+x0^0-x2^0 >= 0), cost: -3/2*(-2+x0^0-x2^0)^2-3*x3^0-3*(-2+x0^0-x2^0)*(1+x2^0)+11/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-5/2*x2^0 162: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -3+x0^0-x2^0 >= 0, cost: -3-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*(1+x2^0)+11/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-11/2*x2^0 164: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, -3+x0^0-x2^0 >= 0, cost: -5-3/2*(-2+x0^0-x2^0)^2-3*(-2+x0^0-x2^0)*x2^0+7/2*x0^0+3*(-2+x0^0-x2^0)*x0^0-7/2*x2^0 165: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, -4+x0^0-x2^0 >= 0, cost: -15/2+3*(-3+x0^0-x2^0)*x0^0-3*(-3+x0^0-x2^0)*(1+x2^0)-3/2*(-3+x0^0-x2^0)^2+7/2*x0^0-7/2*x2^0 166: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, (-4+x0^0-x2^0 >= 0 /\ -2-x3^0+x0^0 >= 0), cost: -15/2+3*(-3+x0^0-x2^0)*x0^0-3*(-3+x0^0-x2^0)*(1+x2^0)-3/2*(-3+x0^0-x2^0)^2-3*x3^0+13/2*x0^0-7/2*x2^0 167: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, (-4+x0^0-x2^0 >= 0 /\ -2-x3^0+x0^0 >= 0), cost: -11/2+3*(-3+x0^0-x2^0)*x0^0-3*(-3+x0^0-x2^0)*(1+x2^0)-3/2*(-3+x0^0-x2^0)^2-3*x3^0+13/2*x0^0-7/2*x2^0 168: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post0, oldX2^0'=-3+x0^0, x2^0'=-2+x0^0, -4+x0^0-x2^0 >= 0, cost: -17/2+3*(-3+x0^0-x2^0)*x0^0-3*(-3+x0^0-x2^0)*(1+x2^0)-3/2*(-3+x0^0-x2^0)^2+13/2*x0^0-13/2*x2^0 170: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -2+x0^0-x2^0 >= 0, cost: 4*(-1+x0^0-x2^0)*x0^0+2*x0^0-2*x2^0-4*(-1+x0^0-x2^0)*x2^0-2*(-1+x0^0-x2^0)^2 171: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -3+x0^0-x2^0 >= 0, cost: -1-2*(-2+x0^0-x2^0)^2-4*(-2+x0^0-x2^0)*(1+x2^0)+2*x0^0+4*(-2+x0^0-x2^0)*x0^0-2*x2^0 172: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (-2-x3^0+x0^0 >= 0 /\ -3+x0^0-x2^0 >= 0), cost: -1-2*(-2+x0^0-x2^0)^2-3*x3^0-4*(-2+x0^0-x2^0)*(1+x2^0)+5*x0^0+4*(-2+x0^0-x2^0)*x0^0-2*x2^0 173: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, (-2-x3^0+x0^0 >= 0 /\ -3+x0^0-x2^0 >= 0), cost: 1-2*(-2+x0^0-x2^0)^2-3*x3^0-4*(-2+x0^0-x2^0)*(1+x2^0)+5*x0^0+4*(-2+x0^0-x2^0)*x0^0-2*x2^0 174: l15 -> l9 : oldX4^0'=oldX4^post17, oldX1^0'=x1^0, oldX3^0'=x0^0, x3^0'=oldX4^post17, oldX0^0'=x0^0, oldX5^0'=oldX5^post1, oldX2^0'=-2+x0^0, x2^0'=-1+x0^0, -3+x0^0-x2^0 >= 0, cost: -2-2*(-2+x0^0-x2^0)^2-4*(-2+x0^0-x2^0)*(1+x2^0)+5*x0^0+4*(-2+x0^0-x2^0)*x0^0-5*x2^0 Removed unreachable locations and irrelevant leafs Start location: l15 42: l10 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 1 44: l11 -> l10 : oldX4^0'=oldX4^post11, oldX1^0'=x1^0, oldX3^0'=x3^0, x3^0'=oldX5^post11, oldX0^0'=x0^0, oldX5^0'=oldX5^post11, oldX2^0'=x2^0, x2^0'=oldX4^post11, 2+x1^0-x0^0 <= 0, cost: 1 70: l15 -> l10 : TRUE, cost: 2 71: l15 -> l11 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 Eliminated location l10 Start location: l15 175: l11 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, 2+x1^0-x0^0 <= 0, cost: 2 71: l15 -> l11 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 176: l15 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 3 Applied acceleration Original rule: l11 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, 2+x1^0-x0^0 <= 0, cost: 2 New rule: l11 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-1+n21+x1^0, x1^0'=n21+x1^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, (-1+n21 >= 0 /\ -1-n21-x1^0+x0^0 >= 0), cost: 2*n21 Sub-proof via acceration calculus written to file:///tmp/tmpnam_KlADjh.txt Applied instantiation Original rule: l11 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-1+n21+x1^0, x1^0'=n21+x1^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, (-1+n21 >= 0 /\ -1-n21-x1^0+x0^0 >= 0), cost: 2*n21 New rule: l11 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, (0 >= 0 /\ -2-x1^0+x0^0 >= 0), cost: -2-2*x1^0+2*x0^0 Applied simplification Original rule: l11 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, (0 >= 0 /\ -2-x1^0+x0^0 >= 0), cost: -2-2*x1^0+2*x0^0 New rule: l11 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, -2-x1^0+x0^0 >= 0, cost: -2-2*x1^0+2*x0^0 Applied deletion Removed the following rules: 175 Accelerated simple loops Start location: l15 178: l11 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, -2-x1^0+x0^0 >= 0, cost: -2-2*x1^0+2*x0^0 71: l15 -> l11 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 176: l15 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 3 Applied chaining First rule: l15 -> l11 : TRUE, cost: 2 Second rule: l11 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, -2-x1^0+x0^0 >= 0, cost: -2-2*x1^0+2*x0^0 New rule: l15 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, -2-x1^0+x0^0 >= 0, cost: -2*x1^0+2*x0^0 Applied chaining First rule: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 Second rule: l11 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, -2-x1^0+x0^0 >= 0, cost: -2-2*x1^0+2*x0^0 New rule: l15 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX6^0'=oldX6^post18, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, -2+x0^0 >= 0, cost: 1+2*x0^0 Applied chaining First rule: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 Second rule: l11 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, -2-x1^0+x0^0 >= 0, cost: -2-2*x1^0+2*x0^0 New rule: l15 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, -2+x0^0 >= 0, cost: 1+2*x0^0 Applied chaining First rule: l15 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 3 Second rule: l11 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, -2-x1^0+x0^0 >= 0, cost: -2-2*x1^0+2*x0^0 New rule: l15 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, -3-x1^0+x0^0 >= 0, cost: -1-2*x1^0+2*x0^0 Applied deletion Removed the following rules: 178 Chained accelerated rules with incoming rules Start location: l15 71: l15 -> l11 : TRUE, cost: 2 77: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=oldX4^post18, x1^0'=0, oldX6^0'=oldX6^post18, oldX3^0'=oldX6^post18, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=oldX5^post18, x2^0'=x2^post12, 0 == 0, cost: 3 78: l15 -> l11 : oldX4^0'=x2^post12, oldX1^0'=x1^0, x1^0'=0, oldX3^0'=x3^0, x3^0'=x3^post12, oldX0^0'=x0^0, oldX5^0'=x3^post12, oldX2^0'=x2^0, x2^0'=x2^post12, 0 == 0, cost: 3 176: l15 -> l11 : oldX4^0'=x2^post9, oldX1^0'=x1^0, x1^0'=1+x1^0, oldX3^0'=x3^0, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=x2^0, x2^0'=x2^post9, 0 == 0, cost: 3 179: l15 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, -2-x1^0+x0^0 >= 0, cost: -2*x1^0+2*x0^0 180: l15 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX6^0'=oldX6^post18, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, -2+x0^0 >= 0, cost: 1+2*x0^0 181: l15 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, -2+x0^0 >= 0, cost: 1+2*x0^0 182: l15 -> l11 : oldX4^0'=x2^post9, oldX1^0'=-2+x0^0, x1^0'=-1+x0^0, oldX3^0'=oldX5^post11, x3^0'=x3^post9, oldX0^0'=x0^0, oldX5^0'=x3^post9, oldX2^0'=oldX4^post11, x2^0'=x2^post9, -3-x1^0+x0^0 >= 0, cost: -1-2*x1^0+2*x0^0 Removed unreachable locations and irrelevant leafs Start location: l15 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0