WORST_CASE(Omega(0),?) Initial ITS Start location: l10 0: l0 -> l1 : oldX4^0'=oldX4^post0, x2^0'=x2^post0, oldX1^0'=oldX1^post0, x4^0'=x4^post0, oldX9^0'=oldX9^post0, oldX6^0'=oldX6^post0, oldX3^0'=oldX3^post0, x1^0'=x1^post0, oldX0^0'=oldX0^post0, oldX8^0'=oldX8^post0, oldX5^0'=oldX5^post0, x3^0'=x3^post0, oldX2^0'=oldX2^post0, x0^0'=x0^post0, oldX7^0'=oldX7^post0, (-oldX6^post0+oldX6^0 == 0 /\ x1^post0-oldX1^post0 == 0 /\ -oldX2^post0+x2^post0 == 0 /\ -1+x3^post0-oldX3^post0 == 0 /\ -1-oldX4^post0+x4^post0 == 0 /\ oldX8^0-oldX8^post0 == 0 /\ -x1^0+oldX1^post0 == 0 /\ oldX9^0-oldX9^post0 == 0 /\ -x2^0+oldX2^post0 == 0 /\ oldX0^post0-x0^0 == 0 /\ -x3^0+oldX3^post0 == 0 /\ x0^post0-oldX0^post0 == 0 /\ -oldX7^post0+oldX7^0 == 0 /\ -oldX5^post0+oldX5^0 == 0 /\ oldX4^post0-x4^0 == 0), cost: 1 6: l1 -> l3 : oldX4^0'=oldX4^post6, x2^0'=x2^post6, oldX1^0'=oldX1^post6, x4^0'=x4^post6, oldX9^0'=oldX9^post6, oldX6^0'=oldX6^post6, oldX3^0'=oldX3^post6, x1^0'=x1^post6, oldX0^0'=oldX0^post6, oldX8^0'=oldX8^post6, oldX5^0'=oldX5^post6, x3^0'=x3^post6, oldX2^0'=oldX2^post6, x0^0'=x0^post6, oldX7^0'=oldX7^post6, (-oldX7^post6+oldX7^0 == 0 /\ x3^post6-oldX3^post6 == 0 /\ x4^post6-oldX4^post6 == 0 /\ oldX9^0-oldX9^post6 == 0 /\ -x2^0+oldX2^post6 == 0 /\ -oldX0^post6+x0^post6 == 0 /\ oldX3^post6 <= 0 /\ oldX1^post6-x1^0 == 0 /\ -x4^0+oldX4^post6 == 0 /\ oldX5^0-oldX5^post6 == 0 /\ oldX3^post6-x3^0 == 0 /\ x2^post6-oldX2^post6 == 0 /\ -oldX1^post6+x1^post6 == 0 /\ oldX6^0-oldX6^post6 == 0 /\ -oldX3^post6 <= 0 /\ -oldX8^post6+oldX8^0 == 0 /\ oldX0^post6-x0^0 == 0), cost: 1 7: l1 -> l5 : oldX4^0'=oldX4^post7, x2^0'=x2^post7, oldX1^0'=oldX1^post7, x4^0'=x4^post7, oldX9^0'=oldX9^post7, oldX6^0'=oldX6^post7, oldX3^0'=oldX3^post7, x1^0'=x1^post7, oldX0^0'=oldX0^post7, oldX8^0'=oldX8^post7, oldX5^0'=oldX5^post7, x3^0'=x3^post7, oldX2^0'=oldX2^post7, x0^0'=x0^post7, oldX7^0'=oldX7^post7, (-oldX7^post7+oldX7^0 == 0 /\ x4^post7-oldX4^post7 == 0 /\ -x0^0+oldX0^post7 == 0 /\ 1-oldX3^post7 <= 0 /\ -oldX3^post7+x3^post7 == 0 /\ -oldX2^post7+x2^post7 == 0 /\ oldX6^0-oldX6^post7 == 0 /\ -x2^0+oldX2^post7 == 0 /\ x0^post7-oldX0^post7 == 0 /\ -x4^0+oldX4^post7 == 0 /\ oldX3^post7-x3^0 == 0 /\ -oldX5^post7+oldX5^0 == 0 /\ -x1^0+oldX1^post7 == 0 /\ -oldX8^post7+oldX8^0 == 0 /\ x1^post7-oldX1^post7 == 0 /\ oldX9^0-oldX9^post7 == 0), cost: 1 8: l1 -> l5 : oldX4^0'=oldX4^post8, x2^0'=x2^post8, oldX1^0'=oldX1^post8, x4^0'=x4^post8, oldX9^0'=oldX9^post8, oldX6^0'=oldX6^post8, oldX3^0'=oldX3^post8, x1^0'=x1^post8, oldX0^0'=oldX0^post8, oldX8^0'=oldX8^post8, oldX5^0'=oldX5^post8, x3^0'=x3^post8, oldX2^0'=oldX2^post8, x0^0'=x0^post8, oldX7^0'=oldX7^post8, (-oldX7^post8+oldX7^0 == 0 /\ -x1^0+oldX1^post8 == 0 /\ x1^post8-oldX1^post8 == 0 /\ oldX8^0-oldX8^post8 == 0 /\ -oldX6^post8+oldX6^0 == 0 /\ 1+oldX3^post8 <= 0 /\ -oldX9^post8+oldX9^0 == 0 /\ oldX4^post8-x4^0 == 0 /\ -oldX4^post8+x4^post8 == 0 /\ -x3^0+oldX3^post8 == 0 /\ x3^post8-oldX3^post8 == 0 /\ -oldX2^post8+x2^post8 == 0 /\ -x2^0+oldX2^post8 == 0 /\ oldX0^post8-x0^0 == 0 /\ -oldX5^post8+oldX5^0 == 0 /\ -oldX0^post8+x0^post8 == 0), cost: 1 1: l2 -> l1 : oldX4^0'=oldX4^post1, x2^0'=x2^post1, oldX1^0'=oldX1^post1, x4^0'=x4^post1, oldX9^0'=oldX9^post1, oldX6^0'=oldX6^post1, oldX3^0'=oldX3^post1, x1^0'=x1^post1, oldX0^0'=oldX0^post1, oldX8^0'=oldX8^post1, oldX5^0'=oldX5^post1, x3^0'=x3^post1, oldX2^0'=oldX2^post1, x0^0'=x0^post1, oldX7^0'=oldX7^post1, (oldX9^0-oldX9^post1 == 0 /\ -oldX6^post1+oldX6^0 == 0 /\ 1+x4^post1-oldX4^post1 == 0 /\ 1+x3^post1-oldX3^post1 == 0 /\ x0^post1-oldX0^post1 == 0 /\ oldX3^post1-x3^0 == 0 /\ -oldX1^post1+x1^post1 == 0 /\ -x4^0+oldX4^post1 == 0 /\ oldX5^0-oldX5^post1 == 0 /\ x2^post1-oldX2^post1 == 0 /\ -oldX8^post1+oldX8^0 == 0 /\ oldX0^post1-x0^0 == 0 /\ -x2^0+oldX2^post1 == 0 /\ oldX1^post1-x1^0 == 0 /\ -oldX7^post1+oldX7^0 == 0), cost: 1 2: l3 -> l4 : oldX4^0'=oldX4^post2, x2^0'=x2^post2, oldX1^0'=oldX1^post2, x4^0'=x4^post2, oldX9^0'=oldX9^post2, oldX6^0'=oldX6^post2, oldX3^0'=oldX3^post2, x1^0'=x1^post2, oldX0^0'=oldX0^post2, oldX8^0'=oldX8^post2, oldX5^0'=oldX5^post2, x3^0'=x3^post2, oldX2^0'=oldX2^post2, x0^0'=x0^post2, oldX7^0'=oldX7^post2, (0 == 0 /\ oldX0^post2-x0^0 == 0 /\ -oldX5^post2+x3^post2 == 0 /\ -oldX0^post2+x0^post2 == 0 /\ -oldX6^post2+x4^post2 == 0 /\ -oldX9^post2+oldX9^0 == 0 /\ -x2^0+oldX2^post2 == 0 /\ oldX3^post2-x3^0 == 0 /\ -x4^0+oldX4^post2 == 0 /\ x1^post2-oldX1^post2 == 0 /\ -oldX8^post2+oldX8^0 == 0 /\ -oldX4^post2+x2^post2 == 0 /\ -oldX7^post2+oldX7^0 == 0 /\ -x1^0+oldX1^post2 == 0), cost: 1 9: l4 -> l6 : oldX4^0'=oldX4^post9, x2^0'=x2^post9, oldX1^0'=oldX1^post9, x4^0'=x4^post9, oldX9^0'=oldX9^post9, oldX6^0'=oldX6^post9, oldX3^0'=oldX3^post9, x1^0'=x1^post9, oldX0^0'=oldX0^post9, oldX8^0'=oldX8^post9, oldX5^0'=oldX5^post9, x3^0'=x3^post9, oldX2^0'=oldX2^post9, x0^0'=x0^post9, oldX7^0'=oldX7^post9, (0 == 0 /\ -oldX1^post9+x1^post9 == 0 /\ oldX1^post9 <= 0 /\ oldX9^0-oldX9^post9 == 0 /\ -x4^0+oldX4^post9 == 0 /\ oldX1^post9-x1^0 == 0 /\ -oldX7^post9+oldX7^0 == 0 /\ x4^post9-oldX6^post9 == 0 /\ oldX3^post9-x3^0 == 0 /\ x3^post9-oldX5^post9 == 0 /\ oldX0^post9-x0^0 == 0 /\ -oldX8^post9+oldX8^0 == 0 /\ x0^post9-oldX0^post9 == 0 /\ -oldX2^post9+x2^post9 == 0 /\ -x2^0+oldX2^post9 == 0), cost: 1 10: l4 -> l6 : oldX4^0'=oldX4^post10, x2^0'=x2^post10, oldX1^0'=oldX1^post10, x4^0'=x4^post10, oldX9^0'=oldX9^post10, oldX6^0'=oldX6^post10, oldX3^0'=oldX3^post10, x1^0'=x1^post10, oldX0^0'=oldX0^post10, oldX8^0'=oldX8^post10, oldX5^0'=oldX5^post10, x3^0'=x3^post10, oldX2^0'=oldX2^post10, x0^0'=x0^post10, oldX7^0'=oldX7^post10, (0 == 0 /\ -oldX1^post10+x1^post10 == 0 /\ oldX3^post10-x3^0 == 0 /\ 1-oldX1^post10+oldX2^post10 <= 0 /\ -oldX6^post10+x4^post10 == 0 /\ -oldX7^post10+oldX7^0 == 0 /\ -oldX2^post10+x2^post10 == 0 /\ oldX1^post10-x1^0 == 0 /\ -x2^0+oldX2^post10 == 0 /\ -oldX0^post10+x0^post10 == 0 /\ -oldX8^post10+oldX8^0 == 0 /\ oldX0^post10-x0^0 == 0 /\ -x4^0+oldX4^post10 == 0 /\ -oldX5^post10+x3^post10 == 0 /\ oldX9^0-oldX9^post10 == 0), cost: 1 11: l4 -> l1 : oldX4^0'=oldX4^post11, x2^0'=x2^post11, oldX1^0'=oldX1^post11, x4^0'=x4^post11, oldX9^0'=oldX9^post11, oldX6^0'=oldX6^post11, oldX3^0'=oldX3^post11, x1^0'=x1^post11, oldX0^0'=oldX0^post11, oldX8^0'=oldX8^post11, oldX5^0'=oldX5^post11, x3^0'=x3^post11, oldX2^0'=oldX2^post11, x0^0'=x0^post11, oldX7^0'=oldX7^post11, (x3^post11-oldX1^post11 == 0 /\ -x1^0+oldX1^post11 == 0 /\ x0^post11-oldX0^post11 == 0 /\ -oldX7^post11+oldX7^0 == 0 /\ oldX8^0-oldX8^post11 == 0 /\ -x2^0+oldX2^post11 == 0 /\ oldX1^post11-oldX2^post11 <= 0 /\ -x3^0+oldX3^post11 == 0 /\ -oldX6^post11+oldX6^0 == 0 /\ x2^post11-oldX2^post11 == 0 /\ x4^post11-oldX2^post11 == 0 /\ oldX9^0-oldX9^post11 == 0 /\ oldX0^post11-x0^0 == 0 /\ -x4^0+oldX4^post11 == 0 /\ x1^post11-oldX1^post11 == 0 /\ -oldX5^post11+oldX5^0 == 0 /\ 1-oldX1^post11 <= 0), cost: 1 3: l5 -> l0 : oldX4^0'=oldX4^post3, x2^0'=x2^post3, oldX1^0'=oldX1^post3, x4^0'=x4^post3, oldX9^0'=oldX9^post3, oldX6^0'=oldX6^post3, oldX3^0'=oldX3^post3, x1^0'=x1^post3, oldX0^0'=oldX0^post3, oldX8^0'=oldX8^post3, oldX5^0'=oldX5^post3, x3^0'=x3^post3, oldX2^0'=oldX2^post3, x0^0'=x0^post3, oldX7^0'=oldX7^post3, (-oldX5^post3+oldX5^0 == 0 /\ x1^post3-oldX1^post3 == 0 /\ -oldX6^post3+oldX6^0 == 0 /\ oldX0^post3-x0^0 == 0 /\ -oldX7^post3+oldX7^0 == 0 /\ oldX8^0-oldX8^post3 == 0 /\ -oldX2^post3+x2^post3 == 0 /\ -x1^0+oldX1^post3 == 0 /\ x3^post3-oldX3^post3 == 0 /\ oldX9^0-oldX9^post3 == 0 /\ oldX2^post3-x2^0 == 0 /\ -oldX4^post3+x4^post3 == 0 /\ oldX4^post3-x4^0 == 0 /\ x0^post3-oldX0^post3 == 0 /\ -x3^0+oldX3^post3 == 0 /\ oldX3^post3 <= 0), cost: 1 4: l5 -> l2 : oldX4^0'=oldX4^post4, x2^0'=x2^post4, oldX1^0'=oldX1^post4, x4^0'=x4^post4, oldX9^0'=oldX9^post4, oldX6^0'=oldX6^post4, oldX3^0'=oldX3^post4, x1^0'=x1^post4, oldX0^0'=oldX0^post4, oldX8^0'=oldX8^post4, oldX5^0'=oldX5^post4, x3^0'=x3^post4, oldX2^0'=oldX2^post4, x0^0'=x0^post4, oldX7^0'=oldX7^post4, (-oldX8^post4+oldX8^0 == 0 /\ -x2^0+oldX2^post4 == 0 /\ -oldX3^post4+x3^post4 == 0 /\ oldX1^post4-x1^0 == 0 /\ -x4^0+oldX4^post4 == 0 /\ -oldX7^post4+oldX7^0 == 0 /\ -oldX2^post4+x2^post4 == 0 /\ 1-oldX3^post4 <= 0 /\ oldX6^0-oldX6^post4 == 0 /\ x0^post4-oldX0^post4 == 0 /\ -x0^0+oldX0^post4 == 0 /\ oldX3^post4-x3^0 == 0 /\ oldX9^0-oldX9^post4 == 0 /\ -oldX1^post4+x1^post4 == 0 /\ -oldX5^post4+oldX5^0 == 0 /\ x4^post4-oldX4^post4 == 0), cost: 1 5: l6 -> l7 : oldX4^0'=oldX4^post5, x2^0'=x2^post5, oldX1^0'=oldX1^post5, x4^0'=x4^post5, oldX9^0'=oldX9^post5, oldX6^0'=oldX6^post5, oldX3^0'=oldX3^post5, x1^0'=x1^post5, oldX0^0'=oldX0^post5, oldX8^0'=oldX8^post5, oldX5^0'=oldX5^post5, x3^0'=x3^post5, oldX2^0'=oldX2^post5, x0^0'=x0^post5, oldX7^0'=oldX7^post5, (0 == 0 /\ x3^post5-oldX8^post5 == 0 /\ x1^post5-oldX6^post5 == 0 /\ -oldX5^post5+x0^post5 == 0 /\ oldX0^post5-x0^0 == 0 /\ -x1^0+oldX1^post5 == 0 /\ oldX4^post5-x4^0 == 0 /\ x2^post5-oldX7^post5 == 0 /\ -x2^0+oldX2^post5 == 0 /\ -oldX9^post5+x4^post5 == 0 /\ oldX3^post5-x3^0 == 0), cost: 1 12: l8 -> l4 : oldX4^0'=oldX4^post12, x2^0'=x2^post12, oldX1^0'=oldX1^post12, x4^0'=x4^post12, oldX9^0'=oldX9^post12, oldX6^0'=oldX6^post12, oldX3^0'=oldX3^post12, x1^0'=x1^post12, oldX0^0'=oldX0^post12, oldX8^0'=oldX8^post12, oldX5^0'=oldX5^post12, x3^0'=x3^post12, oldX2^0'=oldX2^post12, x0^0'=x0^post12, oldX7^0'=oldX7^post12, (0 == 0 /\ oldX9^0-oldX9^post12 == 0 /\ -oldX8^post12+oldX8^0 == 0 /\ -x4^0+oldX4^post12 == 0 /\ -oldX7^post12+oldX7^0 == 0 /\ oldX1^post12-x1^0 == 0 /\ -oldX1^post12+x1^post12 == 0 /\ x4^post12-oldX6^post12 == 0 /\ -oldX0^post12+x2^post12 == 0 /\ oldX0^post12-x0^0 == 0 /\ x3^post12-oldX5^post12 == 0 /\ x0^post12-oldX0^post12 == 0 /\ oldX3^post12-x3^0 == 0 /\ -x2^0+oldX2^post12 == 0), cost: 1 13: l9 -> l8 : oldX4^0'=oldX4^post13, x2^0'=x2^post13, oldX1^0'=oldX1^post13, x4^0'=x4^post13, oldX9^0'=oldX9^post13, oldX6^0'=oldX6^post13, oldX3^0'=oldX3^post13, x1^0'=x1^post13, oldX0^0'=oldX0^post13, oldX8^0'=oldX8^post13, oldX5^0'=oldX5^post13, x3^0'=x3^post13, oldX2^0'=oldX2^post13, x0^0'=x0^post13, oldX7^0'=oldX7^post13, (0 == 0 /\ -oldX5^post13+x2^post13 == 0 /\ x4^post13-oldX7^post13 == 0 /\ -x2^0+oldX2^post13 == 0 /\ oldX0^post13-x0^0 == 0 /\ -oldX6^post13+x3^post13 == 0 /\ oldX3^post13-x3^0 == 0 /\ -oldX9^post13+oldX9^0 == 0 /\ x1^post13-oldX1^post13 == 0 /\ -x4^0+oldX4^post13 == 0 /\ x0^post13-oldX0^post13 == 0 /\ -oldX8^post13+oldX8^0 == 0 /\ -x1^0+oldX1^post13 == 0), cost: 1 14: l9 -> l0 : oldX4^0'=oldX4^post14, x2^0'=x2^post14, oldX1^0'=oldX1^post14, x4^0'=x4^post14, oldX9^0'=oldX9^post14, oldX6^0'=oldX6^post14, oldX3^0'=oldX3^post14, x1^0'=x1^post14, oldX0^0'=oldX0^post14, oldX8^0'=oldX8^post14, oldX5^0'=oldX5^post14, x3^0'=x3^post14, oldX2^0'=oldX2^post14, x0^0'=x0^post14, oldX7^0'=oldX7^post14, (-oldX6^post14+oldX6^0 == 0 /\ -oldX2^post14+oldX2^0 == 0 /\ oldX8^0-oldX8^post14 == 0 /\ x2^0-x2^post14 == 0 /\ x4^0-x4^post14 == 0 /\ oldX1^0-oldX1^post14 == 0 /\ oldX9^0-oldX9^post14 == 0 /\ oldX4^0-oldX4^post14 == 0 /\ -oldX0^post14+oldX0^0 == 0 /\ -oldX7^post14+oldX7^0 == 0 /\ -x0^post14+x0^0 == 0 /\ oldX3^0-oldX3^post14 == 0 /\ -x3^post14+x3^0 == 0 /\ -oldX5^post14+oldX5^0 == 0 /\ -x1^post14+x1^0 == 0), cost: 1 15: l9 -> l2 : oldX4^0'=oldX4^post15, x2^0'=x2^post15, oldX1^0'=oldX1^post15, x4^0'=x4^post15, oldX9^0'=oldX9^post15, oldX6^0'=oldX6^post15, oldX3^0'=oldX3^post15, x1^0'=x1^post15, oldX0^0'=oldX0^post15, oldX8^0'=oldX8^post15, oldX5^0'=oldX5^post15, x3^0'=x3^post15, oldX2^0'=oldX2^post15, x0^0'=x0^post15, oldX7^0'=oldX7^post15, (x0^0-x0^post15 == 0 /\ x1^0-x1^post15 == 0 /\ -oldX5^post15+oldX5^0 == 0 /\ -oldX1^post15+oldX1^0 == 0 /\ x2^0-x2^post15 == 0 /\ oldX6^0-oldX6^post15 == 0 /\ oldX9^0-oldX9^post15 == 0 /\ -oldX8^post15+oldX8^0 == 0 /\ -oldX3^post15+oldX3^0 == 0 /\ oldX4^0-oldX4^post15 == 0 /\ x3^0-x3^post15 == 0 /\ -oldX7^post15+oldX7^0 == 0 /\ -oldX0^post15+oldX0^0 == 0 /\ -x4^post15+x4^0 == 0 /\ -oldX2^post15+oldX2^0 == 0), cost: 1 16: l9 -> l3 : oldX4^0'=oldX4^post16, x2^0'=x2^post16, oldX1^0'=oldX1^post16, x4^0'=x4^post16, oldX9^0'=oldX9^post16, oldX6^0'=oldX6^post16, oldX3^0'=oldX3^post16, x1^0'=x1^post16, oldX0^0'=oldX0^post16, oldX8^0'=oldX8^post16, oldX5^0'=oldX5^post16, x3^0'=x3^post16, oldX2^0'=oldX2^post16, x0^0'=x0^post16, oldX7^0'=oldX7^post16, (oldX6^0-oldX6^post16 == 0 /\ -oldX5^post16+oldX5^0 == 0 /\ oldX0^0-oldX0^post16 == 0 /\ oldX4^0-oldX4^post16 == 0 /\ -oldX9^post16+oldX9^0 == 0 /\ -x3^post16+x3^0 == 0 /\ -oldX8^post16+oldX8^0 == 0 /\ -oldX3^post16+oldX3^0 == 0 /\ -oldX7^post16+oldX7^0 == 0 /\ -x0^post16+x0^0 == 0 /\ -oldX2^post16+oldX2^0 == 0 /\ x2^0-x2^post16 == 0 /\ oldX1^0-oldX1^post16 == 0 /\ -x1^post16+x1^0 == 0 /\ x4^0-x4^post16 == 0), cost: 1 17: l9 -> l5 : oldX4^0'=oldX4^post17, x2^0'=x2^post17, oldX1^0'=oldX1^post17, x4^0'=x4^post17, oldX9^0'=oldX9^post17, oldX6^0'=oldX6^post17, oldX3^0'=oldX3^post17, x1^0'=x1^post17, oldX0^0'=oldX0^post17, oldX8^0'=oldX8^post17, oldX5^0'=oldX5^post17, x3^0'=x3^post17, oldX2^0'=oldX2^post17, x0^0'=x0^post17, oldX7^0'=oldX7^post17, (oldX4^0-oldX4^post17 == 0 /\ -oldX7^post17+oldX7^0 == 0 /\ -oldX6^post17+oldX6^0 == 0 /\ -x3^post17+x3^0 == 0 /\ -oldX2^post17+oldX2^0 == 0 /\ oldX3^0-oldX3^post17 == 0 /\ -oldX8^post17+oldX8^0 == 0 /\ x2^0-x2^post17 == 0 /\ x1^0-x1^post17 == 0 /\ -x0^post17+x0^0 == 0 /\ oldX5^0-oldX5^post17 == 0 /\ oldX1^0-oldX1^post17 == 0 /\ x4^0-x4^post17 == 0 /\ -oldX0^post17+oldX0^0 == 0 /\ oldX9^0-oldX9^post17 == 0), cost: 1 18: l9 -> l6 : oldX4^0'=oldX4^post18, x2^0'=x2^post18, oldX1^0'=oldX1^post18, x4^0'=x4^post18, oldX9^0'=oldX9^post18, oldX6^0'=oldX6^post18, oldX3^0'=oldX3^post18, x1^0'=x1^post18, oldX0^0'=oldX0^post18, oldX8^0'=oldX8^post18, oldX5^0'=oldX5^post18, x3^0'=x3^post18, oldX2^0'=oldX2^post18, x0^0'=x0^post18, oldX7^0'=oldX7^post18, (-x0^post18+x0^0 == 0 /\ x1^0-x1^post18 == 0 /\ x2^0-x2^post18 == 0 /\ -oldX7^post18+oldX7^0 == 0 /\ oldX5^0-oldX5^post18 == 0 /\ oldX1^0-oldX1^post18 == 0 /\ oldX9^0-oldX9^post18 == 0 /\ -oldX2^post18+oldX2^0 == 0 /\ oldX4^0-oldX4^post18 == 0 /\ -oldX8^post18+oldX8^0 == 0 /\ oldX6^0-oldX6^post18 == 0 /\ x3^0-x3^post18 == 0 /\ -x4^post18+x4^0 == 0 /\ -oldX0^post18+oldX0^0 == 0 /\ oldX3^0-oldX3^post18 == 0), cost: 1 19: l9 -> l1 : oldX4^0'=oldX4^post19, x2^0'=x2^post19, oldX1^0'=oldX1^post19, x4^0'=x4^post19, oldX9^0'=oldX9^post19, oldX6^0'=oldX6^post19, oldX3^0'=oldX3^post19, x1^0'=x1^post19, oldX0^0'=oldX0^post19, oldX8^0'=oldX8^post19, oldX5^0'=oldX5^post19, x3^0'=x3^post19, oldX2^0'=oldX2^post19, x0^0'=x0^post19, oldX7^0'=oldX7^post19, (x2^0-x2^post19 == 0 /\ x4^0-x4^post19 == 0 /\ -x0^post19+x0^0 == 0 /\ oldX8^0-oldX8^post19 == 0 /\ -oldX5^post19+oldX5^0 == 0 /\ -x1^post19+x1^0 == 0 /\ -oldX6^post19+oldX6^0 == 0 /\ -x3^post19+x3^0 == 0 /\ oldX1^0-oldX1^post19 == 0 /\ -oldX2^post19+oldX2^0 == 0 /\ oldX4^0-oldX4^post19 == 0 /\ oldX0^0-oldX0^post19 == 0 /\ -oldX7^post19+oldX7^0 == 0 /\ -oldX9^post19+oldX9^0 == 0 /\ oldX3^0-oldX3^post19 == 0), cost: 1 20: l9 -> l4 : oldX4^0'=oldX4^post20, x2^0'=x2^post20, oldX1^0'=oldX1^post20, x4^0'=x4^post20, oldX9^0'=oldX9^post20, oldX6^0'=oldX6^post20, oldX3^0'=oldX3^post20, x1^0'=x1^post20, oldX0^0'=oldX0^post20, oldX8^0'=oldX8^post20, oldX5^0'=oldX5^post20, x3^0'=x3^post20, oldX2^0'=oldX2^post20, x0^0'=x0^post20, oldX7^0'=oldX7^post20, (-x0^post20+x0^0 == 0 /\ -x1^post20+x1^0 == 0 /\ oldX2^0-oldX2^post20 == 0 /\ oldX3^0-oldX3^post20 == 0 /\ -oldX6^post20+oldX6^0 == 0 /\ -x3^post20+x3^0 == 0 /\ -oldX7^post20+oldX7^0 == 0 /\ x2^0-x2^post20 == 0 /\ -oldX0^post20+oldX0^0 == 0 /\ x4^0-x4^post20 == 0 /\ oldX5^0-oldX5^post20 == 0 /\ oldX8^0-oldX8^post20 == 0 /\ oldX4^0-oldX4^post20 == 0 /\ oldX1^0-oldX1^post20 == 0 /\ oldX9^0-oldX9^post20 == 0), cost: 1 21: l9 -> l8 : oldX4^0'=oldX4^post21, x2^0'=x2^post21, oldX1^0'=oldX1^post21, x4^0'=x4^post21, oldX9^0'=oldX9^post21, oldX6^0'=oldX6^post21, oldX3^0'=oldX3^post21, x1^0'=x1^post21, oldX0^0'=oldX0^post21, oldX8^0'=oldX8^post21, oldX5^0'=oldX5^post21, x3^0'=x3^post21, oldX2^0'=oldX2^post21, x0^0'=x0^post21, oldX7^0'=oldX7^post21, (-oldX9^post21+oldX9^0 == 0 /\ -x3^post21+x3^0 == 0 /\ x2^0-x2^post21 == 0 /\ oldX4^0-oldX4^post21 == 0 /\ x0^0-x0^post21 == 0 /\ -oldX3^post21+oldX3^0 == 0 /\ -oldX2^post21+oldX2^0 == 0 /\ -x1^post21+x1^0 == 0 /\ -oldX7^post21+oldX7^0 == 0 /\ x4^0-x4^post21 == 0 /\ oldX0^0-oldX0^post21 == 0 /\ -oldX8^post21+oldX8^0 == 0 /\ -oldX5^post21+oldX5^0 == 0 /\ oldX1^0-oldX1^post21 == 0 /\ oldX6^0-oldX6^post21 == 0), cost: 1 22: l9 -> l7 : oldX4^0'=oldX4^post22, x2^0'=x2^post22, oldX1^0'=oldX1^post22, x4^0'=x4^post22, oldX9^0'=oldX9^post22, oldX6^0'=oldX6^post22, oldX3^0'=oldX3^post22, x1^0'=x1^post22, oldX0^0'=oldX0^post22, oldX8^0'=oldX8^post22, oldX5^0'=oldX5^post22, x3^0'=x3^post22, oldX2^0'=oldX2^post22, x0^0'=x0^post22, oldX7^0'=oldX7^post22, (-oldX0^post22+oldX0^0 == 0 /\ -x3^post22+x3^0 == 0 /\ oldX1^0-oldX1^post22 == 0 /\ oldX2^0-oldX2^post22 == 0 /\ x4^0-x4^post22 == 0 /\ oldX8^0-oldX8^post22 == 0 /\ -x0^post22+x0^0 == 0 /\ -oldX7^post22+oldX7^0 == 0 /\ oldX4^0-oldX4^post22 == 0 /\ -x1^post22+x1^0 == 0 /\ oldX3^0-oldX3^post22 == 0 /\ x2^0-x2^post22 == 0 /\ oldX9^0-oldX9^post22 == 0 /\ -oldX5^post22+oldX5^0 == 0 /\ -oldX6^post22+oldX6^0 == 0), cost: 1 23: l10 -> l9 : oldX4^0'=oldX4^post23, x2^0'=x2^post23, oldX1^0'=oldX1^post23, x4^0'=x4^post23, oldX9^0'=oldX9^post23, oldX6^0'=oldX6^post23, oldX3^0'=oldX3^post23, x1^0'=x1^post23, oldX0^0'=oldX0^post23, oldX8^0'=oldX8^post23, oldX5^0'=oldX5^post23, x3^0'=x3^post23, oldX2^0'=oldX2^post23, x0^0'=x0^post23, oldX7^0'=oldX7^post23, (x1^0-x1^post23 == 0 /\ x2^0-x2^post23 == 0 /\ oldX9^0-oldX9^post23 == 0 /\ -x0^post23+x0^0 == 0 /\ -oldX7^post23+oldX7^0 == 0 /\ -oldX2^post23+oldX2^0 == 0 /\ x3^0-x3^post23 == 0 /\ oldX6^0-oldX6^post23 == 0 /\ -oldX3^post23+oldX3^0 == 0 /\ oldX1^0-oldX1^post23 == 0 /\ -oldX8^post23+oldX8^0 == 0 /\ -oldX0^post23+oldX0^0 == 0 /\ -x4^post23+x4^0 == 0 /\ oldX4^0-oldX4^post23 == 0 /\ -oldX5^post23+oldX5^0 == 0), cost: 1 Removed unreachable rules and leafs Start location: l10 0: l0 -> l1 : oldX4^0'=oldX4^post0, x2^0'=x2^post0, oldX1^0'=oldX1^post0, x4^0'=x4^post0, oldX9^0'=oldX9^post0, oldX6^0'=oldX6^post0, oldX3^0'=oldX3^post0, x1^0'=x1^post0, oldX0^0'=oldX0^post0, oldX8^0'=oldX8^post0, oldX5^0'=oldX5^post0, x3^0'=x3^post0, oldX2^0'=oldX2^post0, x0^0'=x0^post0, oldX7^0'=oldX7^post0, (-oldX6^post0+oldX6^0 == 0 /\ x1^post0-oldX1^post0 == 0 /\ -oldX2^post0+x2^post0 == 0 /\ -1+x3^post0-oldX3^post0 == 0 /\ -1-oldX4^post0+x4^post0 == 0 /\ oldX8^0-oldX8^post0 == 0 /\ -x1^0+oldX1^post0 == 0 /\ oldX9^0-oldX9^post0 == 0 /\ -x2^0+oldX2^post0 == 0 /\ oldX0^post0-x0^0 == 0 /\ -x3^0+oldX3^post0 == 0 /\ x0^post0-oldX0^post0 == 0 /\ -oldX7^post0+oldX7^0 == 0 /\ -oldX5^post0+oldX5^0 == 0 /\ oldX4^post0-x4^0 == 0), cost: 1 6: l1 -> l3 : oldX4^0'=oldX4^post6, x2^0'=x2^post6, oldX1^0'=oldX1^post6, x4^0'=x4^post6, oldX9^0'=oldX9^post6, oldX6^0'=oldX6^post6, oldX3^0'=oldX3^post6, x1^0'=x1^post6, oldX0^0'=oldX0^post6, oldX8^0'=oldX8^post6, oldX5^0'=oldX5^post6, x3^0'=x3^post6, oldX2^0'=oldX2^post6, x0^0'=x0^post6, oldX7^0'=oldX7^post6, (-oldX7^post6+oldX7^0 == 0 /\ x3^post6-oldX3^post6 == 0 /\ x4^post6-oldX4^post6 == 0 /\ oldX9^0-oldX9^post6 == 0 /\ -x2^0+oldX2^post6 == 0 /\ -oldX0^post6+x0^post6 == 0 /\ oldX3^post6 <= 0 /\ oldX1^post6-x1^0 == 0 /\ -x4^0+oldX4^post6 == 0 /\ oldX5^0-oldX5^post6 == 0 /\ oldX3^post6-x3^0 == 0 /\ x2^post6-oldX2^post6 == 0 /\ -oldX1^post6+x1^post6 == 0 /\ oldX6^0-oldX6^post6 == 0 /\ -oldX3^post6 <= 0 /\ -oldX8^post6+oldX8^0 == 0 /\ oldX0^post6-x0^0 == 0), cost: 1 7: l1 -> l5 : oldX4^0'=oldX4^post7, x2^0'=x2^post7, oldX1^0'=oldX1^post7, x4^0'=x4^post7, oldX9^0'=oldX9^post7, oldX6^0'=oldX6^post7, oldX3^0'=oldX3^post7, x1^0'=x1^post7, oldX0^0'=oldX0^post7, oldX8^0'=oldX8^post7, oldX5^0'=oldX5^post7, x3^0'=x3^post7, oldX2^0'=oldX2^post7, x0^0'=x0^post7, oldX7^0'=oldX7^post7, (-oldX7^post7+oldX7^0 == 0 /\ x4^post7-oldX4^post7 == 0 /\ -x0^0+oldX0^post7 == 0 /\ 1-oldX3^post7 <= 0 /\ -oldX3^post7+x3^post7 == 0 /\ -oldX2^post7+x2^post7 == 0 /\ oldX6^0-oldX6^post7 == 0 /\ -x2^0+oldX2^post7 == 0 /\ x0^post7-oldX0^post7 == 0 /\ -x4^0+oldX4^post7 == 0 /\ oldX3^post7-x3^0 == 0 /\ -oldX5^post7+oldX5^0 == 0 /\ -x1^0+oldX1^post7 == 0 /\ -oldX8^post7+oldX8^0 == 0 /\ x1^post7-oldX1^post7 == 0 /\ oldX9^0-oldX9^post7 == 0), cost: 1 8: l1 -> l5 : oldX4^0'=oldX4^post8, x2^0'=x2^post8, oldX1^0'=oldX1^post8, x4^0'=x4^post8, oldX9^0'=oldX9^post8, oldX6^0'=oldX6^post8, oldX3^0'=oldX3^post8, x1^0'=x1^post8, oldX0^0'=oldX0^post8, oldX8^0'=oldX8^post8, oldX5^0'=oldX5^post8, x3^0'=x3^post8, oldX2^0'=oldX2^post8, x0^0'=x0^post8, oldX7^0'=oldX7^post8, (-oldX7^post8+oldX7^0 == 0 /\ -x1^0+oldX1^post8 == 0 /\ x1^post8-oldX1^post8 == 0 /\ oldX8^0-oldX8^post8 == 0 /\ -oldX6^post8+oldX6^0 == 0 /\ 1+oldX3^post8 <= 0 /\ -oldX9^post8+oldX9^0 == 0 /\ oldX4^post8-x4^0 == 0 /\ -oldX4^post8+x4^post8 == 0 /\ -x3^0+oldX3^post8 == 0 /\ x3^post8-oldX3^post8 == 0 /\ -oldX2^post8+x2^post8 == 0 /\ -x2^0+oldX2^post8 == 0 /\ oldX0^post8-x0^0 == 0 /\ -oldX5^post8+oldX5^0 == 0 /\ -oldX0^post8+x0^post8 == 0), cost: 1 1: l2 -> l1 : oldX4^0'=oldX4^post1, x2^0'=x2^post1, oldX1^0'=oldX1^post1, x4^0'=x4^post1, oldX9^0'=oldX9^post1, oldX6^0'=oldX6^post1, oldX3^0'=oldX3^post1, x1^0'=x1^post1, oldX0^0'=oldX0^post1, oldX8^0'=oldX8^post1, oldX5^0'=oldX5^post1, x3^0'=x3^post1, oldX2^0'=oldX2^post1, x0^0'=x0^post1, oldX7^0'=oldX7^post1, (oldX9^0-oldX9^post1 == 0 /\ -oldX6^post1+oldX6^0 == 0 /\ 1+x4^post1-oldX4^post1 == 0 /\ 1+x3^post1-oldX3^post1 == 0 /\ x0^post1-oldX0^post1 == 0 /\ oldX3^post1-x3^0 == 0 /\ -oldX1^post1+x1^post1 == 0 /\ -x4^0+oldX4^post1 == 0 /\ oldX5^0-oldX5^post1 == 0 /\ x2^post1-oldX2^post1 == 0 /\ -oldX8^post1+oldX8^0 == 0 /\ oldX0^post1-x0^0 == 0 /\ -x2^0+oldX2^post1 == 0 /\ oldX1^post1-x1^0 == 0 /\ -oldX7^post1+oldX7^0 == 0), cost: 1 2: l3 -> l4 : oldX4^0'=oldX4^post2, x2^0'=x2^post2, oldX1^0'=oldX1^post2, x4^0'=x4^post2, oldX9^0'=oldX9^post2, oldX6^0'=oldX6^post2, oldX3^0'=oldX3^post2, x1^0'=x1^post2, oldX0^0'=oldX0^post2, oldX8^0'=oldX8^post2, oldX5^0'=oldX5^post2, x3^0'=x3^post2, oldX2^0'=oldX2^post2, x0^0'=x0^post2, oldX7^0'=oldX7^post2, (0 == 0 /\ oldX0^post2-x0^0 == 0 /\ -oldX5^post2+x3^post2 == 0 /\ -oldX0^post2+x0^post2 == 0 /\ -oldX6^post2+x4^post2 == 0 /\ -oldX9^post2+oldX9^0 == 0 /\ -x2^0+oldX2^post2 == 0 /\ oldX3^post2-x3^0 == 0 /\ -x4^0+oldX4^post2 == 0 /\ x1^post2-oldX1^post2 == 0 /\ -oldX8^post2+oldX8^0 == 0 /\ -oldX4^post2+x2^post2 == 0 /\ -oldX7^post2+oldX7^0 == 0 /\ -x1^0+oldX1^post2 == 0), cost: 1 11: l4 -> l1 : oldX4^0'=oldX4^post11, x2^0'=x2^post11, oldX1^0'=oldX1^post11, x4^0'=x4^post11, oldX9^0'=oldX9^post11, oldX6^0'=oldX6^post11, oldX3^0'=oldX3^post11, x1^0'=x1^post11, oldX0^0'=oldX0^post11, oldX8^0'=oldX8^post11, oldX5^0'=oldX5^post11, x3^0'=x3^post11, oldX2^0'=oldX2^post11, x0^0'=x0^post11, oldX7^0'=oldX7^post11, (x3^post11-oldX1^post11 == 0 /\ -x1^0+oldX1^post11 == 0 /\ x0^post11-oldX0^post11 == 0 /\ -oldX7^post11+oldX7^0 == 0 /\ oldX8^0-oldX8^post11 == 0 /\ -x2^0+oldX2^post11 == 0 /\ oldX1^post11-oldX2^post11 <= 0 /\ -x3^0+oldX3^post11 == 0 /\ -oldX6^post11+oldX6^0 == 0 /\ x2^post11-oldX2^post11 == 0 /\ x4^post11-oldX2^post11 == 0 /\ oldX9^0-oldX9^post11 == 0 /\ oldX0^post11-x0^0 == 0 /\ -x4^0+oldX4^post11 == 0 /\ x1^post11-oldX1^post11 == 0 /\ -oldX5^post11+oldX5^0 == 0 /\ 1-oldX1^post11 <= 0), cost: 1 3: l5 -> l0 : oldX4^0'=oldX4^post3, x2^0'=x2^post3, oldX1^0'=oldX1^post3, x4^0'=x4^post3, oldX9^0'=oldX9^post3, oldX6^0'=oldX6^post3, oldX3^0'=oldX3^post3, x1^0'=x1^post3, oldX0^0'=oldX0^post3, oldX8^0'=oldX8^post3, oldX5^0'=oldX5^post3, x3^0'=x3^post3, oldX2^0'=oldX2^post3, x0^0'=x0^post3, oldX7^0'=oldX7^post3, (-oldX5^post3+oldX5^0 == 0 /\ x1^post3-oldX1^post3 == 0 /\ -oldX6^post3+oldX6^0 == 0 /\ oldX0^post3-x0^0 == 0 /\ -oldX7^post3+oldX7^0 == 0 /\ oldX8^0-oldX8^post3 == 0 /\ -oldX2^post3+x2^post3 == 0 /\ -x1^0+oldX1^post3 == 0 /\ x3^post3-oldX3^post3 == 0 /\ oldX9^0-oldX9^post3 == 0 /\ oldX2^post3-x2^0 == 0 /\ -oldX4^post3+x4^post3 == 0 /\ oldX4^post3-x4^0 == 0 /\ x0^post3-oldX0^post3 == 0 /\ -x3^0+oldX3^post3 == 0 /\ oldX3^post3 <= 0), cost: 1 4: l5 -> l2 : oldX4^0'=oldX4^post4, x2^0'=x2^post4, oldX1^0'=oldX1^post4, x4^0'=x4^post4, oldX9^0'=oldX9^post4, oldX6^0'=oldX6^post4, oldX3^0'=oldX3^post4, x1^0'=x1^post4, oldX0^0'=oldX0^post4, oldX8^0'=oldX8^post4, oldX5^0'=oldX5^post4, x3^0'=x3^post4, oldX2^0'=oldX2^post4, x0^0'=x0^post4, oldX7^0'=oldX7^post4, (-oldX8^post4+oldX8^0 == 0 /\ -x2^0+oldX2^post4 == 0 /\ -oldX3^post4+x3^post4 == 0 /\ oldX1^post4-x1^0 == 0 /\ -x4^0+oldX4^post4 == 0 /\ -oldX7^post4+oldX7^0 == 0 /\ -oldX2^post4+x2^post4 == 0 /\ 1-oldX3^post4 <= 0 /\ oldX6^0-oldX6^post4 == 0 /\ x0^post4-oldX0^post4 == 0 /\ -x0^0+oldX0^post4 == 0 /\ oldX3^post4-x3^0 == 0 /\ oldX9^0-oldX9^post4 == 0 /\ -oldX1^post4+x1^post4 == 0 /\ -oldX5^post4+oldX5^0 == 0 /\ x4^post4-oldX4^post4 == 0), cost: 1 12: l8 -> l4 : oldX4^0'=oldX4^post12, x2^0'=x2^post12, oldX1^0'=oldX1^post12, x4^0'=x4^post12, oldX9^0'=oldX9^post12, oldX6^0'=oldX6^post12, oldX3^0'=oldX3^post12, x1^0'=x1^post12, oldX0^0'=oldX0^post12, oldX8^0'=oldX8^post12, oldX5^0'=oldX5^post12, x3^0'=x3^post12, oldX2^0'=oldX2^post12, x0^0'=x0^post12, oldX7^0'=oldX7^post12, (0 == 0 /\ oldX9^0-oldX9^post12 == 0 /\ -oldX8^post12+oldX8^0 == 0 /\ -x4^0+oldX4^post12 == 0 /\ -oldX7^post12+oldX7^0 == 0 /\ oldX1^post12-x1^0 == 0 /\ -oldX1^post12+x1^post12 == 0 /\ x4^post12-oldX6^post12 == 0 /\ -oldX0^post12+x2^post12 == 0 /\ oldX0^post12-x0^0 == 0 /\ x3^post12-oldX5^post12 == 0 /\ x0^post12-oldX0^post12 == 0 /\ oldX3^post12-x3^0 == 0 /\ -x2^0+oldX2^post12 == 0), cost: 1 13: l9 -> l8 : oldX4^0'=oldX4^post13, x2^0'=x2^post13, oldX1^0'=oldX1^post13, x4^0'=x4^post13, oldX9^0'=oldX9^post13, oldX6^0'=oldX6^post13, oldX3^0'=oldX3^post13, x1^0'=x1^post13, oldX0^0'=oldX0^post13, oldX8^0'=oldX8^post13, oldX5^0'=oldX5^post13, x3^0'=x3^post13, oldX2^0'=oldX2^post13, x0^0'=x0^post13, oldX7^0'=oldX7^post13, (0 == 0 /\ -oldX5^post13+x2^post13 == 0 /\ x4^post13-oldX7^post13 == 0 /\ -x2^0+oldX2^post13 == 0 /\ oldX0^post13-x0^0 == 0 /\ -oldX6^post13+x3^post13 == 0 /\ oldX3^post13-x3^0 == 0 /\ -oldX9^post13+oldX9^0 == 0 /\ x1^post13-oldX1^post13 == 0 /\ -x4^0+oldX4^post13 == 0 /\ x0^post13-oldX0^post13 == 0 /\ -oldX8^post13+oldX8^0 == 0 /\ -x1^0+oldX1^post13 == 0), cost: 1 14: l9 -> l0 : oldX4^0'=oldX4^post14, x2^0'=x2^post14, oldX1^0'=oldX1^post14, x4^0'=x4^post14, oldX9^0'=oldX9^post14, oldX6^0'=oldX6^post14, oldX3^0'=oldX3^post14, x1^0'=x1^post14, oldX0^0'=oldX0^post14, oldX8^0'=oldX8^post14, oldX5^0'=oldX5^post14, x3^0'=x3^post14, oldX2^0'=oldX2^post14, x0^0'=x0^post14, oldX7^0'=oldX7^post14, (-oldX6^post14+oldX6^0 == 0 /\ -oldX2^post14+oldX2^0 == 0 /\ oldX8^0-oldX8^post14 == 0 /\ x2^0-x2^post14 == 0 /\ x4^0-x4^post14 == 0 /\ oldX1^0-oldX1^post14 == 0 /\ oldX9^0-oldX9^post14 == 0 /\ oldX4^0-oldX4^post14 == 0 /\ -oldX0^post14+oldX0^0 == 0 /\ -oldX7^post14+oldX7^0 == 0 /\ -x0^post14+x0^0 == 0 /\ oldX3^0-oldX3^post14 == 0 /\ -x3^post14+x3^0 == 0 /\ -oldX5^post14+oldX5^0 == 0 /\ -x1^post14+x1^0 == 0), cost: 1 15: l9 -> l2 : oldX4^0'=oldX4^post15, x2^0'=x2^post15, oldX1^0'=oldX1^post15, x4^0'=x4^post15, oldX9^0'=oldX9^post15, oldX6^0'=oldX6^post15, oldX3^0'=oldX3^post15, x1^0'=x1^post15, oldX0^0'=oldX0^post15, oldX8^0'=oldX8^post15, oldX5^0'=oldX5^post15, x3^0'=x3^post15, oldX2^0'=oldX2^post15, x0^0'=x0^post15, oldX7^0'=oldX7^post15, (x0^0-x0^post15 == 0 /\ x1^0-x1^post15 == 0 /\ -oldX5^post15+oldX5^0 == 0 /\ -oldX1^post15+oldX1^0 == 0 /\ x2^0-x2^post15 == 0 /\ oldX6^0-oldX6^post15 == 0 /\ oldX9^0-oldX9^post15 == 0 /\ -oldX8^post15+oldX8^0 == 0 /\ -oldX3^post15+oldX3^0 == 0 /\ oldX4^0-oldX4^post15 == 0 /\ x3^0-x3^post15 == 0 /\ -oldX7^post15+oldX7^0 == 0 /\ -oldX0^post15+oldX0^0 == 0 /\ -x4^post15+x4^0 == 0 /\ -oldX2^post15+oldX2^0 == 0), cost: 1 16: l9 -> l3 : oldX4^0'=oldX4^post16, x2^0'=x2^post16, oldX1^0'=oldX1^post16, x4^0'=x4^post16, oldX9^0'=oldX9^post16, oldX6^0'=oldX6^post16, oldX3^0'=oldX3^post16, x1^0'=x1^post16, oldX0^0'=oldX0^post16, oldX8^0'=oldX8^post16, oldX5^0'=oldX5^post16, x3^0'=x3^post16, oldX2^0'=oldX2^post16, x0^0'=x0^post16, oldX7^0'=oldX7^post16, (oldX6^0-oldX6^post16 == 0 /\ -oldX5^post16+oldX5^0 == 0 /\ oldX0^0-oldX0^post16 == 0 /\ oldX4^0-oldX4^post16 == 0 /\ -oldX9^post16+oldX9^0 == 0 /\ -x3^post16+x3^0 == 0 /\ -oldX8^post16+oldX8^0 == 0 /\ -oldX3^post16+oldX3^0 == 0 /\ -oldX7^post16+oldX7^0 == 0 /\ -x0^post16+x0^0 == 0 /\ -oldX2^post16+oldX2^0 == 0 /\ x2^0-x2^post16 == 0 /\ oldX1^0-oldX1^post16 == 0 /\ -x1^post16+x1^0 == 0 /\ x4^0-x4^post16 == 0), cost: 1 17: l9 -> l5 : oldX4^0'=oldX4^post17, x2^0'=x2^post17, oldX1^0'=oldX1^post17, x4^0'=x4^post17, oldX9^0'=oldX9^post17, oldX6^0'=oldX6^post17, oldX3^0'=oldX3^post17, x1^0'=x1^post17, oldX0^0'=oldX0^post17, oldX8^0'=oldX8^post17, oldX5^0'=oldX5^post17, x3^0'=x3^post17, oldX2^0'=oldX2^post17, x0^0'=x0^post17, oldX7^0'=oldX7^post17, (oldX4^0-oldX4^post17 == 0 /\ -oldX7^post17+oldX7^0 == 0 /\ -oldX6^post17+oldX6^0 == 0 /\ -x3^post17+x3^0 == 0 /\ -oldX2^post17+oldX2^0 == 0 /\ oldX3^0-oldX3^post17 == 0 /\ -oldX8^post17+oldX8^0 == 0 /\ x2^0-x2^post17 == 0 /\ x1^0-x1^post17 == 0 /\ -x0^post17+x0^0 == 0 /\ oldX5^0-oldX5^post17 == 0 /\ oldX1^0-oldX1^post17 == 0 /\ x4^0-x4^post17 == 0 /\ -oldX0^post17+oldX0^0 == 0 /\ oldX9^0-oldX9^post17 == 0), cost: 1 19: l9 -> l1 : oldX4^0'=oldX4^post19, x2^0'=x2^post19, oldX1^0'=oldX1^post19, x4^0'=x4^post19, oldX9^0'=oldX9^post19, oldX6^0'=oldX6^post19, oldX3^0'=oldX3^post19, x1^0'=x1^post19, oldX0^0'=oldX0^post19, oldX8^0'=oldX8^post19, oldX5^0'=oldX5^post19, x3^0'=x3^post19, oldX2^0'=oldX2^post19, x0^0'=x0^post19, oldX7^0'=oldX7^post19, (x2^0-x2^post19 == 0 /\ x4^0-x4^post19 == 0 /\ -x0^post19+x0^0 == 0 /\ oldX8^0-oldX8^post19 == 0 /\ -oldX5^post19+oldX5^0 == 0 /\ -x1^post19+x1^0 == 0 /\ -oldX6^post19+oldX6^0 == 0 /\ -x3^post19+x3^0 == 0 /\ oldX1^0-oldX1^post19 == 0 /\ -oldX2^post19+oldX2^0 == 0 /\ oldX4^0-oldX4^post19 == 0 /\ oldX0^0-oldX0^post19 == 0 /\ -oldX7^post19+oldX7^0 == 0 /\ -oldX9^post19+oldX9^0 == 0 /\ oldX3^0-oldX3^post19 == 0), cost: 1 20: l9 -> l4 : oldX4^0'=oldX4^post20, x2^0'=x2^post20, oldX1^0'=oldX1^post20, x4^0'=x4^post20, oldX9^0'=oldX9^post20, oldX6^0'=oldX6^post20, oldX3^0'=oldX3^post20, x1^0'=x1^post20, oldX0^0'=oldX0^post20, oldX8^0'=oldX8^post20, oldX5^0'=oldX5^post20, x3^0'=x3^post20, oldX2^0'=oldX2^post20, x0^0'=x0^post20, oldX7^0'=oldX7^post20, (-x0^post20+x0^0 == 0 /\ -x1^post20+x1^0 == 0 /\ oldX2^0-oldX2^post20 == 0 /\ oldX3^0-oldX3^post20 == 0 /\ -oldX6^post20+oldX6^0 == 0 /\ -x3^post20+x3^0 == 0 /\ -oldX7^post20+oldX7^0 == 0 /\ x2^0-x2^post20 == 0 /\ -oldX0^post20+oldX0^0 == 0 /\ x4^0-x4^post20 == 0 /\ oldX5^0-oldX5^post20 == 0 /\ oldX8^0-oldX8^post20 == 0 /\ oldX4^0-oldX4^post20 == 0 /\ oldX1^0-oldX1^post20 == 0 /\ oldX9^0-oldX9^post20 == 0), cost: 1 21: l9 -> l8 : oldX4^0'=oldX4^post21, x2^0'=x2^post21, oldX1^0'=oldX1^post21, x4^0'=x4^post21, oldX9^0'=oldX9^post21, oldX6^0'=oldX6^post21, oldX3^0'=oldX3^post21, x1^0'=x1^post21, oldX0^0'=oldX0^post21, oldX8^0'=oldX8^post21, oldX5^0'=oldX5^post21, x3^0'=x3^post21, oldX2^0'=oldX2^post21, x0^0'=x0^post21, oldX7^0'=oldX7^post21, (-oldX9^post21+oldX9^0 == 0 /\ -x3^post21+x3^0 == 0 /\ x2^0-x2^post21 == 0 /\ oldX4^0-oldX4^post21 == 0 /\ x0^0-x0^post21 == 0 /\ -oldX3^post21+oldX3^0 == 0 /\ -oldX2^post21+oldX2^0 == 0 /\ -x1^post21+x1^0 == 0 /\ -oldX7^post21+oldX7^0 == 0 /\ x4^0-x4^post21 == 0 /\ oldX0^0-oldX0^post21 == 0 /\ -oldX8^post21+oldX8^0 == 0 /\ -oldX5^post21+oldX5^0 == 0 /\ oldX1^0-oldX1^post21 == 0 /\ oldX6^0-oldX6^post21 == 0), cost: 1 23: l10 -> l9 : oldX4^0'=oldX4^post23, x2^0'=x2^post23, oldX1^0'=oldX1^post23, x4^0'=x4^post23, oldX9^0'=oldX9^post23, oldX6^0'=oldX6^post23, oldX3^0'=oldX3^post23, x1^0'=x1^post23, oldX0^0'=oldX0^post23, oldX8^0'=oldX8^post23, oldX5^0'=oldX5^post23, x3^0'=x3^post23, oldX2^0'=oldX2^post23, x0^0'=x0^post23, oldX7^0'=oldX7^post23, (x1^0-x1^post23 == 0 /\ x2^0-x2^post23 == 0 /\ oldX9^0-oldX9^post23 == 0 /\ -x0^post23+x0^0 == 0 /\ -oldX7^post23+oldX7^0 == 0 /\ -oldX2^post23+oldX2^0 == 0 /\ x3^0-x3^post23 == 0 /\ oldX6^0-oldX6^post23 == 0 /\ -oldX3^post23+oldX3^0 == 0 /\ oldX1^0-oldX1^post23 == 0 /\ -oldX8^post23+oldX8^0 == 0 /\ -oldX0^post23+oldX0^0 == 0 /\ -x4^post23+x4^0 == 0 /\ oldX4^0-oldX4^post23 == 0 /\ -oldX5^post23+oldX5^0 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : oldX4^0'=oldX4^post0, x2^0'=x2^post0, oldX1^0'=oldX1^post0, x4^0'=x4^post0, oldX9^0'=oldX9^post0, oldX6^0'=oldX6^post0, oldX3^0'=oldX3^post0, x1^0'=x1^post0, oldX0^0'=oldX0^post0, oldX8^0'=oldX8^post0, oldX5^0'=oldX5^post0, x3^0'=x3^post0, oldX2^0'=oldX2^post0, x0^0'=x0^post0, oldX7^0'=oldX7^post0, (-oldX6^post0+oldX6^0 == 0 /\ x1^post0-oldX1^post0 == 0 /\ -oldX2^post0+x2^post0 == 0 /\ -1+x3^post0-oldX3^post0 == 0 /\ -1-oldX4^post0+x4^post0 == 0 /\ oldX8^0-oldX8^post0 == 0 /\ -x1^0+oldX1^post0 == 0 /\ oldX9^0-oldX9^post0 == 0 /\ -x2^0+oldX2^post0 == 0 /\ oldX0^post0-x0^0 == 0 /\ -x3^0+oldX3^post0 == 0 /\ x0^post0-oldX0^post0 == 0 /\ -oldX7^post0+oldX7^0 == 0 /\ -oldX5^post0+oldX5^0 == 0 /\ oldX4^post0-x4^0 == 0), cost: 1 New rule: l0 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l1 : oldX4^0'=oldX4^post1, x2^0'=x2^post1, oldX1^0'=oldX1^post1, x4^0'=x4^post1, oldX9^0'=oldX9^post1, oldX6^0'=oldX6^post1, oldX3^0'=oldX3^post1, x1^0'=x1^post1, oldX0^0'=oldX0^post1, oldX8^0'=oldX8^post1, oldX5^0'=oldX5^post1, x3^0'=x3^post1, oldX2^0'=oldX2^post1, x0^0'=x0^post1, oldX7^0'=oldX7^post1, (oldX9^0-oldX9^post1 == 0 /\ -oldX6^post1+oldX6^0 == 0 /\ 1+x4^post1-oldX4^post1 == 0 /\ 1+x3^post1-oldX3^post1 == 0 /\ x0^post1-oldX0^post1 == 0 /\ oldX3^post1-x3^0 == 0 /\ -oldX1^post1+x1^post1 == 0 /\ -x4^0+oldX4^post1 == 0 /\ oldX5^0-oldX5^post1 == 0 /\ x2^post1-oldX2^post1 == 0 /\ -oldX8^post1+oldX8^0 == 0 /\ oldX0^post1-x0^0 == 0 /\ -x2^0+oldX2^post1 == 0 /\ oldX1^post1-x1^0 == 0 /\ -oldX7^post1+oldX7^0 == 0), cost: 1 New rule: l2 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, TRUE, cost: 1 Applied preprocessing Original rule: l3 -> l4 : oldX4^0'=oldX4^post2, x2^0'=x2^post2, oldX1^0'=oldX1^post2, x4^0'=x4^post2, oldX9^0'=oldX9^post2, oldX6^0'=oldX6^post2, oldX3^0'=oldX3^post2, x1^0'=x1^post2, oldX0^0'=oldX0^post2, oldX8^0'=oldX8^post2, oldX5^0'=oldX5^post2, x3^0'=x3^post2, oldX2^0'=oldX2^post2, x0^0'=x0^post2, oldX7^0'=oldX7^post2, (0 == 0 /\ oldX0^post2-x0^0 == 0 /\ -oldX5^post2+x3^post2 == 0 /\ -oldX0^post2+x0^post2 == 0 /\ -oldX6^post2+x4^post2 == 0 /\ -oldX9^post2+oldX9^0 == 0 /\ -x2^0+oldX2^post2 == 0 /\ oldX3^post2-x3^0 == 0 /\ -x4^0+oldX4^post2 == 0 /\ x1^post2-oldX1^post2 == 0 /\ -oldX8^post2+oldX8^0 == 0 /\ -oldX4^post2+x2^post2 == 0 /\ -oldX7^post2+oldX7^0 == 0 /\ -x1^0+oldX1^post2 == 0), cost: 1 New rule: l3 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 1 Applied preprocessing Original rule: l5 -> l0 : oldX4^0'=oldX4^post3, x2^0'=x2^post3, oldX1^0'=oldX1^post3, x4^0'=x4^post3, oldX9^0'=oldX9^post3, oldX6^0'=oldX6^post3, oldX3^0'=oldX3^post3, x1^0'=x1^post3, oldX0^0'=oldX0^post3, oldX8^0'=oldX8^post3, oldX5^0'=oldX5^post3, x3^0'=x3^post3, oldX2^0'=oldX2^post3, x0^0'=x0^post3, oldX7^0'=oldX7^post3, (-oldX5^post3+oldX5^0 == 0 /\ x1^post3-oldX1^post3 == 0 /\ -oldX6^post3+oldX6^0 == 0 /\ oldX0^post3-x0^0 == 0 /\ -oldX7^post3+oldX7^0 == 0 /\ oldX8^0-oldX8^post3 == 0 /\ -oldX2^post3+x2^post3 == 0 /\ -x1^0+oldX1^post3 == 0 /\ x3^post3-oldX3^post3 == 0 /\ oldX9^0-oldX9^post3 == 0 /\ oldX2^post3-x2^0 == 0 /\ -oldX4^post3+x4^post3 == 0 /\ oldX4^post3-x4^0 == 0 /\ x0^post3-oldX0^post3 == 0 /\ -x3^0+oldX3^post3 == 0 /\ oldX3^post3 <= 0), cost: 1 New rule: l5 -> l0 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x3^0 <= 0, cost: 1 Applied preprocessing Original rule: l5 -> l2 : oldX4^0'=oldX4^post4, x2^0'=x2^post4, oldX1^0'=oldX1^post4, x4^0'=x4^post4, oldX9^0'=oldX9^post4, oldX6^0'=oldX6^post4, oldX3^0'=oldX3^post4, x1^0'=x1^post4, oldX0^0'=oldX0^post4, oldX8^0'=oldX8^post4, oldX5^0'=oldX5^post4, x3^0'=x3^post4, oldX2^0'=oldX2^post4, x0^0'=x0^post4, oldX7^0'=oldX7^post4, (-oldX8^post4+oldX8^0 == 0 /\ -x2^0+oldX2^post4 == 0 /\ -oldX3^post4+x3^post4 == 0 /\ oldX1^post4-x1^0 == 0 /\ -x4^0+oldX4^post4 == 0 /\ -oldX7^post4+oldX7^0 == 0 /\ -oldX2^post4+x2^post4 == 0 /\ 1-oldX3^post4 <= 0 /\ oldX6^0-oldX6^post4 == 0 /\ x0^post4-oldX0^post4 == 0 /\ -x0^0+oldX0^post4 == 0 /\ oldX3^post4-x3^0 == 0 /\ oldX9^0-oldX9^post4 == 0 /\ -oldX1^post4+x1^post4 == 0 /\ -oldX5^post4+oldX5^0 == 0 /\ x4^post4-oldX4^post4 == 0), cost: 1 New rule: l5 -> l2 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 1 Applied preprocessing Original rule: l1 -> l3 : oldX4^0'=oldX4^post6, x2^0'=x2^post6, oldX1^0'=oldX1^post6, x4^0'=x4^post6, oldX9^0'=oldX9^post6, oldX6^0'=oldX6^post6, oldX3^0'=oldX3^post6, x1^0'=x1^post6, oldX0^0'=oldX0^post6, oldX8^0'=oldX8^post6, oldX5^0'=oldX5^post6, x3^0'=x3^post6, oldX2^0'=oldX2^post6, x0^0'=x0^post6, oldX7^0'=oldX7^post6, (-oldX7^post6+oldX7^0 == 0 /\ x3^post6-oldX3^post6 == 0 /\ x4^post6-oldX4^post6 == 0 /\ oldX9^0-oldX9^post6 == 0 /\ -x2^0+oldX2^post6 == 0 /\ -oldX0^post6+x0^post6 == 0 /\ oldX3^post6 <= 0 /\ oldX1^post6-x1^0 == 0 /\ -x4^0+oldX4^post6 == 0 /\ oldX5^0-oldX5^post6 == 0 /\ oldX3^post6-x3^0 == 0 /\ x2^post6-oldX2^post6 == 0 /\ -oldX1^post6+x1^post6 == 0 /\ oldX6^0-oldX6^post6 == 0 /\ -oldX3^post6 <= 0 /\ -oldX8^post6+oldX8^0 == 0 /\ oldX0^post6-x0^0 == 0), cost: 1 New rule: l1 -> l3 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, x3^0 == 0, cost: 1 Applied preprocessing Original rule: l1 -> l5 : oldX4^0'=oldX4^post7, x2^0'=x2^post7, oldX1^0'=oldX1^post7, x4^0'=x4^post7, oldX9^0'=oldX9^post7, oldX6^0'=oldX6^post7, oldX3^0'=oldX3^post7, x1^0'=x1^post7, oldX0^0'=oldX0^post7, oldX8^0'=oldX8^post7, oldX5^0'=oldX5^post7, x3^0'=x3^post7, oldX2^0'=oldX2^post7, x0^0'=x0^post7, oldX7^0'=oldX7^post7, (-oldX7^post7+oldX7^0 == 0 /\ x4^post7-oldX4^post7 == 0 /\ -x0^0+oldX0^post7 == 0 /\ 1-oldX3^post7 <= 0 /\ -oldX3^post7+x3^post7 == 0 /\ -oldX2^post7+x2^post7 == 0 /\ oldX6^0-oldX6^post7 == 0 /\ -x2^0+oldX2^post7 == 0 /\ x0^post7-oldX0^post7 == 0 /\ -x4^0+oldX4^post7 == 0 /\ oldX3^post7-x3^0 == 0 /\ -oldX5^post7+oldX5^0 == 0 /\ -x1^0+oldX1^post7 == 0 /\ -oldX8^post7+oldX8^0 == 0 /\ x1^post7-oldX1^post7 == 0 /\ oldX9^0-oldX9^post7 == 0), cost: 1 New rule: l1 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 1 Applied preprocessing Original rule: l1 -> l5 : oldX4^0'=oldX4^post8, x2^0'=x2^post8, oldX1^0'=oldX1^post8, x4^0'=x4^post8, oldX9^0'=oldX9^post8, oldX6^0'=oldX6^post8, oldX3^0'=oldX3^post8, x1^0'=x1^post8, oldX0^0'=oldX0^post8, oldX8^0'=oldX8^post8, oldX5^0'=oldX5^post8, x3^0'=x3^post8, oldX2^0'=oldX2^post8, x0^0'=x0^post8, oldX7^0'=oldX7^post8, (-oldX7^post8+oldX7^0 == 0 /\ -x1^0+oldX1^post8 == 0 /\ x1^post8-oldX1^post8 == 0 /\ oldX8^0-oldX8^post8 == 0 /\ -oldX6^post8+oldX6^0 == 0 /\ 1+oldX3^post8 <= 0 /\ -oldX9^post8+oldX9^0 == 0 /\ oldX4^post8-x4^0 == 0 /\ -oldX4^post8+x4^post8 == 0 /\ -x3^0+oldX3^post8 == 0 /\ x3^post8-oldX3^post8 == 0 /\ -oldX2^post8+x2^post8 == 0 /\ -x2^0+oldX2^post8 == 0 /\ oldX0^post8-x0^0 == 0 /\ -oldX5^post8+oldX5^0 == 0 /\ -oldX0^post8+x0^post8 == 0), cost: 1 New rule: l1 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0 <= 0, cost: 1 Applied preprocessing Original rule: l4 -> l1 : oldX4^0'=oldX4^post11, x2^0'=x2^post11, oldX1^0'=oldX1^post11, x4^0'=x4^post11, oldX9^0'=oldX9^post11, oldX6^0'=oldX6^post11, oldX3^0'=oldX3^post11, x1^0'=x1^post11, oldX0^0'=oldX0^post11, oldX8^0'=oldX8^post11, oldX5^0'=oldX5^post11, x3^0'=x3^post11, oldX2^0'=oldX2^post11, x0^0'=x0^post11, oldX7^0'=oldX7^post11, (x3^post11-oldX1^post11 == 0 /\ -x1^0+oldX1^post11 == 0 /\ x0^post11-oldX0^post11 == 0 /\ -oldX7^post11+oldX7^0 == 0 /\ oldX8^0-oldX8^post11 == 0 /\ -x2^0+oldX2^post11 == 0 /\ oldX1^post11-oldX2^post11 <= 0 /\ -x3^0+oldX3^post11 == 0 /\ -oldX6^post11+oldX6^0 == 0 /\ x2^post11-oldX2^post11 == 0 /\ x4^post11-oldX2^post11 == 0 /\ oldX9^0-oldX9^post11 == 0 /\ oldX0^post11-x0^0 == 0 /\ -x4^0+oldX4^post11 == 0 /\ x1^post11-oldX1^post11 == 0 /\ -oldX5^post11+oldX5^0 == 0 /\ 1-oldX1^post11 <= 0), cost: 1 New rule: l4 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 1 Applied preprocessing Original rule: l8 -> l4 : oldX4^0'=oldX4^post12, x2^0'=x2^post12, oldX1^0'=oldX1^post12, x4^0'=x4^post12, oldX9^0'=oldX9^post12, oldX6^0'=oldX6^post12, oldX3^0'=oldX3^post12, x1^0'=x1^post12, oldX0^0'=oldX0^post12, oldX8^0'=oldX8^post12, oldX5^0'=oldX5^post12, x3^0'=x3^post12, oldX2^0'=oldX2^post12, x0^0'=x0^post12, oldX7^0'=oldX7^post12, (0 == 0 /\ oldX9^0-oldX9^post12 == 0 /\ -oldX8^post12+oldX8^0 == 0 /\ -x4^0+oldX4^post12 == 0 /\ -oldX7^post12+oldX7^0 == 0 /\ oldX1^post12-x1^0 == 0 /\ -oldX1^post12+x1^post12 == 0 /\ x4^post12-oldX6^post12 == 0 /\ -oldX0^post12+x2^post12 == 0 /\ oldX0^post12-x0^0 == 0 /\ x3^post12-oldX5^post12 == 0 /\ x0^post12-oldX0^post12 == 0 /\ oldX3^post12-x3^0 == 0 /\ -x2^0+oldX2^post12 == 0), cost: 1 New rule: l8 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 1 Applied preprocessing Original rule: l9 -> l8 : oldX4^0'=oldX4^post13, x2^0'=x2^post13, oldX1^0'=oldX1^post13, x4^0'=x4^post13, oldX9^0'=oldX9^post13, oldX6^0'=oldX6^post13, oldX3^0'=oldX3^post13, x1^0'=x1^post13, oldX0^0'=oldX0^post13, oldX8^0'=oldX8^post13, oldX5^0'=oldX5^post13, x3^0'=x3^post13, oldX2^0'=oldX2^post13, x0^0'=x0^post13, oldX7^0'=oldX7^post13, (0 == 0 /\ -oldX5^post13+x2^post13 == 0 /\ x4^post13-oldX7^post13 == 0 /\ -x2^0+oldX2^post13 == 0 /\ oldX0^post13-x0^0 == 0 /\ -oldX6^post13+x3^post13 == 0 /\ oldX3^post13-x3^0 == 0 /\ -oldX9^post13+oldX9^0 == 0 /\ x1^post13-oldX1^post13 == 0 /\ -x4^0+oldX4^post13 == 0 /\ x0^post13-oldX0^post13 == 0 /\ -oldX8^post13+oldX8^0 == 0 /\ -x1^0+oldX1^post13 == 0), cost: 1 New rule: l9 -> l8 : oldX4^0'=x4^0, x2^0'=x2^post13, oldX1^0'=x1^0, x4^0'=oldX7^post13, oldX6^0'=x3^post13, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x2^post13, x3^0'=x3^post13, oldX2^0'=x2^0, oldX7^0'=oldX7^post13, 0 == 0, cost: 1 Applied preprocessing Original rule: l9 -> l0 : oldX4^0'=oldX4^post14, x2^0'=x2^post14, oldX1^0'=oldX1^post14, x4^0'=x4^post14, oldX9^0'=oldX9^post14, oldX6^0'=oldX6^post14, oldX3^0'=oldX3^post14, x1^0'=x1^post14, oldX0^0'=oldX0^post14, oldX8^0'=oldX8^post14, oldX5^0'=oldX5^post14, x3^0'=x3^post14, oldX2^0'=oldX2^post14, x0^0'=x0^post14, oldX7^0'=oldX7^post14, (-oldX6^post14+oldX6^0 == 0 /\ -oldX2^post14+oldX2^0 == 0 /\ oldX8^0-oldX8^post14 == 0 /\ x2^0-x2^post14 == 0 /\ x4^0-x4^post14 == 0 /\ oldX1^0-oldX1^post14 == 0 /\ oldX9^0-oldX9^post14 == 0 /\ oldX4^0-oldX4^post14 == 0 /\ -oldX0^post14+oldX0^0 == 0 /\ -oldX7^post14+oldX7^0 == 0 /\ -x0^post14+x0^0 == 0 /\ oldX3^0-oldX3^post14 == 0 /\ -x3^post14+x3^0 == 0 /\ -oldX5^post14+oldX5^0 == 0 /\ -x1^post14+x1^0 == 0), cost: 1 New rule: l9 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l2 : oldX4^0'=oldX4^post15, x2^0'=x2^post15, oldX1^0'=oldX1^post15, x4^0'=x4^post15, oldX9^0'=oldX9^post15, oldX6^0'=oldX6^post15, oldX3^0'=oldX3^post15, x1^0'=x1^post15, oldX0^0'=oldX0^post15, oldX8^0'=oldX8^post15, oldX5^0'=oldX5^post15, x3^0'=x3^post15, oldX2^0'=oldX2^post15, x0^0'=x0^post15, oldX7^0'=oldX7^post15, (x0^0-x0^post15 == 0 /\ x1^0-x1^post15 == 0 /\ -oldX5^post15+oldX5^0 == 0 /\ -oldX1^post15+oldX1^0 == 0 /\ x2^0-x2^post15 == 0 /\ oldX6^0-oldX6^post15 == 0 /\ oldX9^0-oldX9^post15 == 0 /\ -oldX8^post15+oldX8^0 == 0 /\ -oldX3^post15+oldX3^0 == 0 /\ oldX4^0-oldX4^post15 == 0 /\ x3^0-x3^post15 == 0 /\ -oldX7^post15+oldX7^0 == 0 /\ -oldX0^post15+oldX0^0 == 0 /\ -x4^post15+x4^0 == 0 /\ -oldX2^post15+oldX2^0 == 0), cost: 1 New rule: l9 -> l2 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l3 : oldX4^0'=oldX4^post16, x2^0'=x2^post16, oldX1^0'=oldX1^post16, x4^0'=x4^post16, oldX9^0'=oldX9^post16, oldX6^0'=oldX6^post16, oldX3^0'=oldX3^post16, x1^0'=x1^post16, oldX0^0'=oldX0^post16, oldX8^0'=oldX8^post16, oldX5^0'=oldX5^post16, x3^0'=x3^post16, oldX2^0'=oldX2^post16, x0^0'=x0^post16, oldX7^0'=oldX7^post16, (oldX6^0-oldX6^post16 == 0 /\ -oldX5^post16+oldX5^0 == 0 /\ oldX0^0-oldX0^post16 == 0 /\ oldX4^0-oldX4^post16 == 0 /\ -oldX9^post16+oldX9^0 == 0 /\ -x3^post16+x3^0 == 0 /\ -oldX8^post16+oldX8^0 == 0 /\ -oldX3^post16+oldX3^0 == 0 /\ -oldX7^post16+oldX7^0 == 0 /\ -x0^post16+x0^0 == 0 /\ -oldX2^post16+oldX2^0 == 0 /\ x2^0-x2^post16 == 0 /\ oldX1^0-oldX1^post16 == 0 /\ -x1^post16+x1^0 == 0 /\ x4^0-x4^post16 == 0), cost: 1 New rule: l9 -> l3 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l5 : oldX4^0'=oldX4^post17, x2^0'=x2^post17, oldX1^0'=oldX1^post17, x4^0'=x4^post17, oldX9^0'=oldX9^post17, oldX6^0'=oldX6^post17, oldX3^0'=oldX3^post17, x1^0'=x1^post17, oldX0^0'=oldX0^post17, oldX8^0'=oldX8^post17, oldX5^0'=oldX5^post17, x3^0'=x3^post17, oldX2^0'=oldX2^post17, x0^0'=x0^post17, oldX7^0'=oldX7^post17, (oldX4^0-oldX4^post17 == 0 /\ -oldX7^post17+oldX7^0 == 0 /\ -oldX6^post17+oldX6^0 == 0 /\ -x3^post17+x3^0 == 0 /\ -oldX2^post17+oldX2^0 == 0 /\ oldX3^0-oldX3^post17 == 0 /\ -oldX8^post17+oldX8^0 == 0 /\ x2^0-x2^post17 == 0 /\ x1^0-x1^post17 == 0 /\ -x0^post17+x0^0 == 0 /\ oldX5^0-oldX5^post17 == 0 /\ oldX1^0-oldX1^post17 == 0 /\ x4^0-x4^post17 == 0 /\ -oldX0^post17+oldX0^0 == 0 /\ oldX9^0-oldX9^post17 == 0), cost: 1 New rule: l9 -> l5 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l1 : oldX4^0'=oldX4^post19, x2^0'=x2^post19, oldX1^0'=oldX1^post19, x4^0'=x4^post19, oldX9^0'=oldX9^post19, oldX6^0'=oldX6^post19, oldX3^0'=oldX3^post19, x1^0'=x1^post19, oldX0^0'=oldX0^post19, oldX8^0'=oldX8^post19, oldX5^0'=oldX5^post19, x3^0'=x3^post19, oldX2^0'=oldX2^post19, x0^0'=x0^post19, oldX7^0'=oldX7^post19, (x2^0-x2^post19 == 0 /\ x4^0-x4^post19 == 0 /\ -x0^post19+x0^0 == 0 /\ oldX8^0-oldX8^post19 == 0 /\ -oldX5^post19+oldX5^0 == 0 /\ -x1^post19+x1^0 == 0 /\ -oldX6^post19+oldX6^0 == 0 /\ -x3^post19+x3^0 == 0 /\ oldX1^0-oldX1^post19 == 0 /\ -oldX2^post19+oldX2^0 == 0 /\ oldX4^0-oldX4^post19 == 0 /\ oldX0^0-oldX0^post19 == 0 /\ -oldX7^post19+oldX7^0 == 0 /\ -oldX9^post19+oldX9^0 == 0 /\ oldX3^0-oldX3^post19 == 0), cost: 1 New rule: l9 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l4 : oldX4^0'=oldX4^post20, x2^0'=x2^post20, oldX1^0'=oldX1^post20, x4^0'=x4^post20, oldX9^0'=oldX9^post20, oldX6^0'=oldX6^post20, oldX3^0'=oldX3^post20, x1^0'=x1^post20, oldX0^0'=oldX0^post20, oldX8^0'=oldX8^post20, oldX5^0'=oldX5^post20, x3^0'=x3^post20, oldX2^0'=oldX2^post20, x0^0'=x0^post20, oldX7^0'=oldX7^post20, (-x0^post20+x0^0 == 0 /\ -x1^post20+x1^0 == 0 /\ oldX2^0-oldX2^post20 == 0 /\ oldX3^0-oldX3^post20 == 0 /\ -oldX6^post20+oldX6^0 == 0 /\ -x3^post20+x3^0 == 0 /\ -oldX7^post20+oldX7^0 == 0 /\ x2^0-x2^post20 == 0 /\ -oldX0^post20+oldX0^0 == 0 /\ x4^0-x4^post20 == 0 /\ oldX5^0-oldX5^post20 == 0 /\ oldX8^0-oldX8^post20 == 0 /\ oldX4^0-oldX4^post20 == 0 /\ oldX1^0-oldX1^post20 == 0 /\ oldX9^0-oldX9^post20 == 0), cost: 1 New rule: l9 -> l4 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l8 : oldX4^0'=oldX4^post21, x2^0'=x2^post21, oldX1^0'=oldX1^post21, x4^0'=x4^post21, oldX9^0'=oldX9^post21, oldX6^0'=oldX6^post21, oldX3^0'=oldX3^post21, x1^0'=x1^post21, oldX0^0'=oldX0^post21, oldX8^0'=oldX8^post21, oldX5^0'=oldX5^post21, x3^0'=x3^post21, oldX2^0'=oldX2^post21, x0^0'=x0^post21, oldX7^0'=oldX7^post21, (-oldX9^post21+oldX9^0 == 0 /\ -x3^post21+x3^0 == 0 /\ x2^0-x2^post21 == 0 /\ oldX4^0-oldX4^post21 == 0 /\ x0^0-x0^post21 == 0 /\ -oldX3^post21+oldX3^0 == 0 /\ -oldX2^post21+oldX2^0 == 0 /\ -x1^post21+x1^0 == 0 /\ -oldX7^post21+oldX7^0 == 0 /\ x4^0-x4^post21 == 0 /\ oldX0^0-oldX0^post21 == 0 /\ -oldX8^post21+oldX8^0 == 0 /\ -oldX5^post21+oldX5^0 == 0 /\ oldX1^0-oldX1^post21 == 0 /\ oldX6^0-oldX6^post21 == 0), cost: 1 New rule: l9 -> l8 : TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l9 : oldX4^0'=oldX4^post23, x2^0'=x2^post23, oldX1^0'=oldX1^post23, x4^0'=x4^post23, oldX9^0'=oldX9^post23, oldX6^0'=oldX6^post23, oldX3^0'=oldX3^post23, x1^0'=x1^post23, oldX0^0'=oldX0^post23, oldX8^0'=oldX8^post23, oldX5^0'=oldX5^post23, x3^0'=x3^post23, oldX2^0'=oldX2^post23, x0^0'=x0^post23, oldX7^0'=oldX7^post23, (x1^0-x1^post23 == 0 /\ x2^0-x2^post23 == 0 /\ oldX9^0-oldX9^post23 == 0 /\ -x0^post23+x0^0 == 0 /\ -oldX7^post23+oldX7^0 == 0 /\ -oldX2^post23+oldX2^0 == 0 /\ x3^0-x3^post23 == 0 /\ oldX6^0-oldX6^post23 == 0 /\ -oldX3^post23+oldX3^0 == 0 /\ oldX1^0-oldX1^post23 == 0 /\ -oldX8^post23+oldX8^0 == 0 /\ -oldX0^post23+oldX0^0 == 0 /\ -x4^post23+x4^0 == 0 /\ oldX4^0-oldX4^post23 == 0 /\ -oldX5^post23+oldX5^0 == 0), cost: 1 New rule: l10 -> l9 : TRUE, cost: 1 Simplified rules Start location: l10 24: l0 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, TRUE, cost: 1 29: l1 -> l3 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, x3^0 == 0, cost: 1 30: l1 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 1 31: l1 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0 <= 0, cost: 1 25: l2 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, TRUE, cost: 1 26: l3 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 1 32: l4 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 1 27: l5 -> l0 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x3^0 <= 0, cost: 1 28: l5 -> l2 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 1 33: l8 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 1 34: l9 -> l8 : oldX4^0'=x4^0, x2^0'=x2^post13, oldX1^0'=x1^0, x4^0'=oldX7^post13, oldX6^0'=x3^post13, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x2^post13, x3^0'=x3^post13, oldX2^0'=x2^0, oldX7^0'=oldX7^post13, 0 == 0, cost: 1 35: l9 -> l0 : TRUE, cost: 1 36: l9 -> l2 : TRUE, cost: 1 37: l9 -> l3 : TRUE, cost: 1 38: l9 -> l5 : TRUE, cost: 1 39: l9 -> l1 : TRUE, cost: 1 40: l9 -> l4 : TRUE, cost: 1 41: l9 -> l8 : TRUE, cost: 1 42: l10 -> l9 : TRUE, cost: 1 Eliminating location l9 by chaining: Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l8 : oldX4^0'=x4^0, x2^0'=x2^post13, oldX1^0'=x1^0, x4^0'=oldX7^post13, oldX6^0'=x3^post13, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x2^post13, x3^0'=x3^post13, oldX2^0'=x2^0, oldX7^0'=oldX7^post13, 0 == 0, cost: 1 New rule: l10 -> l8 : oldX4^0'=x4^0, x2^0'=x2^post13, oldX1^0'=x1^0, x4^0'=oldX7^post13, oldX6^0'=x3^post13, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x2^post13, x3^0'=x3^post13, oldX2^0'=x2^0, oldX7^0'=oldX7^post13, 0 == 0, cost: 2 Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l0 : TRUE, cost: 1 New rule: l10 -> l0 : TRUE, cost: 2 Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l2 : TRUE, cost: 1 New rule: l10 -> l2 : TRUE, cost: 2 Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l3 : TRUE, cost: 1 New rule: l10 -> l3 : TRUE, cost: 2 Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l5 : TRUE, cost: 1 New rule: l10 -> l5 : TRUE, cost: 2 Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l1 : TRUE, cost: 1 New rule: l10 -> l1 : TRUE, cost: 2 Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l4 : TRUE, cost: 1 New rule: l10 -> l4 : TRUE, cost: 2 Applied chaining First rule: l10 -> l9 : TRUE, cost: 1 Second rule: l9 -> l8 : TRUE, cost: 1 New rule: l10 -> l8 : TRUE, cost: 2 Applied deletion Removed the following rules: 34 35 36 37 38 39 40 41 42 Eliminated locations on tree-shaped paths Start location: l10 24: l0 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, TRUE, cost: 1 29: l1 -> l3 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, x3^0 == 0, cost: 1 30: l1 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 1 31: l1 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0 <= 0, cost: 1 25: l2 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, TRUE, cost: 1 26: l3 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 1 32: l4 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 1 27: l5 -> l0 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x3^0 <= 0, cost: 1 28: l5 -> l2 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 1 33: l8 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 1 43: l10 -> l8 : oldX4^0'=x4^0, x2^0'=x2^post13, oldX1^0'=x1^0, x4^0'=oldX7^post13, oldX6^0'=x3^post13, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x2^post13, x3^0'=x3^post13, oldX2^0'=x2^0, oldX7^0'=oldX7^post13, 0 == 0, cost: 2 44: l10 -> l0 : TRUE, cost: 2 45: l10 -> l2 : TRUE, cost: 2 46: l10 -> l3 : TRUE, cost: 2 47: l10 -> l5 : TRUE, cost: 2 48: l10 -> l1 : TRUE, cost: 2 49: l10 -> l4 : TRUE, cost: 2 50: l10 -> l8 : TRUE, cost: 2 Eliminating location l8 by chaining: Applied chaining First rule: l10 -> l8 : oldX4^0'=x4^0, x2^0'=x2^post13, oldX1^0'=x1^0, x4^0'=oldX7^post13, oldX6^0'=x3^post13, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x2^post13, x3^0'=x3^post13, oldX2^0'=x2^0, oldX7^0'=oldX7^post13, 0 == 0, cost: 2 Second rule: l8 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 1 New rule: l10 -> l4 : oldX4^0'=oldX7^post13, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^post13, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^post13, oldX7^0'=oldX7^post13, 0 == 0, cost: 3 Applied chaining First rule: l10 -> l8 : TRUE, cost: 2 Second rule: l8 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 1 New rule: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 3 Applied deletion Removed the following rules: 33 43 50 Eliminated locations on tree-shaped paths Start location: l10 24: l0 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, TRUE, cost: 1 29: l1 -> l3 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, x3^0 == 0, cost: 1 30: l1 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 1 31: l1 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0 <= 0, cost: 1 25: l2 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, TRUE, cost: 1 26: l3 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 1 32: l4 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 1 27: l5 -> l0 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, x3^0 <= 0, cost: 1 28: l5 -> l2 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 1 44: l10 -> l0 : TRUE, cost: 2 45: l10 -> l2 : TRUE, cost: 2 46: l10 -> l3 : TRUE, cost: 2 47: l10 -> l5 : TRUE, cost: 2 48: l10 -> l1 : TRUE, cost: 2 49: l10 -> l4 : TRUE, cost: 2 51: l10 -> l4 : oldX4^0'=oldX7^post13, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^post13, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^post13, oldX7^0'=oldX7^post13, 0 == 0, cost: 3 52: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 3 Eliminated location l0 Start location: l10 29: l1 -> l3 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, x3^0 == 0, cost: 1 30: l1 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 1 31: l1 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0 <= 0, cost: 1 25: l2 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, TRUE, cost: 1 26: l3 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 1 32: l4 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 1 28: l5 -> l2 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 1 53: l5 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 <= 0, cost: 2 45: l10 -> l2 : TRUE, cost: 2 46: l10 -> l3 : TRUE, cost: 2 47: l10 -> l5 : TRUE, cost: 2 48: l10 -> l1 : TRUE, cost: 2 49: l10 -> l4 : TRUE, cost: 2 51: l10 -> l4 : oldX4^0'=oldX7^post13, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^post13, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^post13, oldX7^0'=oldX7^post13, 0 == 0, cost: 3 52: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 3 54: l10 -> l1 : oldX4^0'=x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, TRUE, cost: 3 Eliminated location l1 Start location: l10 55: l2 -> l3 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 2 56: l2 -> l5 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=-1+x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: 2 57: l2 -> l5 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=-1+x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, x3^0 <= 0, cost: 2 26: l3 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 1 58: l4 -> l5 : oldX4^0'=x2^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x1^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 2 28: l5 -> l2 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 1 62: l5 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 3 63: l5 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, (x3^0 <= 0 /\ x3^0 >= 0), cost: 3 64: l5 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: 3 45: l10 -> l2 : TRUE, cost: 2 46: l10 -> l3 : TRUE, cost: 2 47: l10 -> l5 : TRUE, cost: 2 49: l10 -> l4 : TRUE, cost: 2 51: l10 -> l4 : oldX4^0'=oldX7^post13, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^post13, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^post13, oldX7^0'=oldX7^post13, 0 == 0, cost: 3 52: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 3 59: l10 -> l3 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, x3^0 == 0, cost: 3 60: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 61: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0 <= 0, cost: 3 65: l10 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 4 66: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 >= 0, cost: 4 67: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: 4 Applied simplification Original rule: l5 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, (x3^0 <= 0 /\ x3^0 >= 0), cost: 3 New rule: l5 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 3 Simplified simple loops Start location: l10 55: l2 -> l3 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 2 56: l2 -> l5 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=-1+x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: 2 57: l2 -> l5 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=-1+x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, x3^0 <= 0, cost: 2 26: l3 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 1 58: l4 -> l5 : oldX4^0'=x2^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x1^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 2 28: l5 -> l2 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 1 62: l5 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 3 64: l5 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: 3 68: l5 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 3 45: l10 -> l2 : TRUE, cost: 2 46: l10 -> l3 : TRUE, cost: 2 47: l10 -> l5 : TRUE, cost: 2 49: l10 -> l4 : TRUE, cost: 2 51: l10 -> l4 : oldX4^0'=oldX7^post13, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^post13, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^post13, oldX7^0'=oldX7^post13, 0 == 0, cost: 3 52: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 3 59: l10 -> l3 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, x3^0 == 0, cost: 3 60: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 61: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0 <= 0, cost: 3 65: l10 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 4 66: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 >= 0, cost: 4 67: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: 4 Applied acceleration Original rule: l5 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: 3 New rule: l5 -> l5 : oldX4^0'=x4^0+n, oldX1^0'=x1^0, x4^0'=x4^0+n, oldX3^0'=n+x3^0, oldX0^0'=x0^0, x3^0'=n+x3^0, oldX2^0'=x2^0, (-1-n-x3^0 >= 0 /\ -1+n >= 0), cost: 3*n Sub-proof via acceration calculus written to file:///tmp/tmpnam_MMjpBf.txt Applied instantiation Original rule: l5 -> l5 : oldX4^0'=x4^0+n, oldX1^0'=x1^0, x4^0'=x4^0+n, oldX3^0'=n+x3^0, oldX0^0'=x0^0, x3^0'=n+x3^0, oldX2^0'=x2^0, (-1-n-x3^0 >= 0 /\ -1+n >= 0), cost: 3*n New rule: l5 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, (0 >= 0 /\ -2-x3^0 >= 0), cost: -3-3*x3^0 Applied simplification Original rule: l5 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, (0 >= 0 /\ -2-x3^0 >= 0), cost: -3-3*x3^0 New rule: l5 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3-3*x3^0 Applied deletion Removed the following rules: 64 Accelerated simple loops Start location: l10 55: l2 -> l3 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 2 56: l2 -> l5 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=-1+x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: 2 57: l2 -> l5 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=-1+x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, x3^0 <= 0, cost: 2 26: l3 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 1 58: l4 -> l5 : oldX4^0'=x2^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x1^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 2 28: l5 -> l2 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 1 62: l5 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 3 68: l5 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 3 70: l5 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3-3*x3^0 45: l10 -> l2 : TRUE, cost: 2 46: l10 -> l3 : TRUE, cost: 2 47: l10 -> l5 : TRUE, cost: 2 49: l10 -> l4 : TRUE, cost: 2 51: l10 -> l4 : oldX4^0'=oldX7^post13, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^post13, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^post13, oldX7^0'=oldX7^post13, 0 == 0, cost: 3 52: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 3 59: l10 -> l3 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, x3^0 == 0, cost: 3 60: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 61: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0 <= 0, cost: 3 65: l10 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 4 66: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 >= 0, cost: 4 67: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: 4 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 3 New rule: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 5 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3-3*x3^0 New rule: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -1-3*x3^0 Applied chaining First rule: l2 -> l5 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=-1+x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, x3^0 <= 0, cost: 2 Second rule: l5 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3-3*x3^0 New rule: l2 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 1+x3^0 <= 0, cost: 2-3*x3^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0 <= 0, cost: 3 Second rule: l5 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3-3*x3^0 New rule: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3*x3^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: 4 Second rule: l5 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3-3*x3^0 New rule: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 3+x3^0 <= 0, cost: -2-3*x3^0 Applied deletion Removed the following rules: 68 70 Chained accelerated rules with incoming rules Start location: l10 55: l2 -> l3 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 2 56: l2 -> l5 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=-1+x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: 2 57: l2 -> l5 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=-1+x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, x3^0 <= 0, cost: 2 73: l2 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 1+x3^0 <= 0, cost: 2-3*x3^0 26: l3 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 1 58: l4 -> l5 : oldX4^0'=x2^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x1^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 2 28: l5 -> l2 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 1 62: l5 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 3 45: l10 -> l2 : TRUE, cost: 2 46: l10 -> l3 : TRUE, cost: 2 47: l10 -> l5 : TRUE, cost: 2 49: l10 -> l4 : TRUE, cost: 2 51: l10 -> l4 : oldX4^0'=oldX7^post13, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^post13, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^post13, oldX7^0'=oldX7^post13, 0 == 0, cost: 3 52: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 3 59: l10 -> l3 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, x3^0 == 0, cost: 3 60: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 61: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0 <= 0, cost: 3 65: l10 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 4 66: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 >= 0, cost: 4 67: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: 4 71: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 5 72: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -1-3*x3^0 74: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3*x3^0 75: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 3+x3^0 <= 0, cost: -2-3*x3^0 Eliminated location l2 Start location: l10 26: l3 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 1 58: l4 -> l5 : oldX4^0'=x2^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x1^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 2 62: l5 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 3 76: l5 -> l3 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 3 77: l5 -> l5 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=-1+x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: 3 46: l10 -> l3 : TRUE, cost: 2 47: l10 -> l5 : TRUE, cost: 2 49: l10 -> l4 : TRUE, cost: 2 51: l10 -> l4 : oldX4^0'=oldX7^post13, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^post13, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^post13, oldX7^0'=oldX7^post13, 0 == 0, cost: 3 52: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 3 59: l10 -> l3 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, x3^0 == 0, cost: 3 60: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 61: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, 1+x3^0 <= 0, cost: 3 65: l10 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 4 66: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 >= 0, cost: 4 67: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: 4 71: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 5 72: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -1-3*x3^0 74: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3*x3^0 75: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 3+x3^0 <= 0, cost: -2-3*x3^0 78: l10 -> l3 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 4 79: l10 -> l5 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=-1+x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: 4 80: l10 -> l5 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=-1+x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, x3^0 <= 0, cost: 4 81: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 1+x3^0 <= 0, cost: 4-3*x3^0 Applied pruning (of leafs and parallel rules): Start location: l10 26: l3 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 1 58: l4 -> l5 : oldX4^0'=x2^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x1^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 2 62: l5 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 3 76: l5 -> l3 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 3 77: l5 -> l5 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=-1+x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: 3 46: l10 -> l3 : TRUE, cost: 2 47: l10 -> l5 : TRUE, cost: 2 49: l10 -> l4 : TRUE, cost: 2 51: l10 -> l4 : oldX4^0'=oldX7^post13, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^post13, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^post13, oldX7^0'=oldX7^post13, 0 == 0, cost: 3 52: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 3 59: l10 -> l3 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, x3^0 == 0, cost: 3 60: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 65: l10 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 4 66: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 >= 0, cost: 4 71: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 5 74: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3*x3^0 78: l10 -> l3 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 4 Applied acceleration Original rule: l5 -> l5 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=-1+x3^0, oldX0^0'=x0^0, x3^0'=-1+x3^0, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: 3 New rule: l5 -> l5 : oldX4^0'=-n1+x4^0, oldX1^0'=x1^0, x4^0'=-n1+x4^0, oldX3^0'=-n1+x3^0, oldX0^0'=x0^0, x3^0'=-n1+x3^0, oldX2^0'=x2^0, (-1+n1 >= 0 /\ -1-n1+x3^0 >= 0), cost: 3*n1 Sub-proof via acceration calculus written to file:///tmp/tmpnam_jiOGnN.txt Applied instantiation Original rule: l5 -> l5 : oldX4^0'=-n1+x4^0, oldX1^0'=x1^0, x4^0'=-n1+x4^0, oldX3^0'=-n1+x3^0, oldX0^0'=x0^0, x3^0'=-n1+x3^0, oldX2^0'=x2^0, (-1+n1 >= 0 /\ -1-n1+x3^0 >= 0), cost: 3*n1 New rule: l5 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, (0 >= 0 /\ -2+x3^0 >= 0), cost: -3+3*x3^0 Applied simplification Original rule: l5 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, (0 >= 0 /\ -2+x3^0 >= 0), cost: -3+3*x3^0 New rule: l5 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: -3+3*x3^0 Applied deletion Removed the following rules: 77 Accelerated simple loops Start location: l10 26: l3 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 1 58: l4 -> l5 : oldX4^0'=x2^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x1^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 2 62: l5 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 3 76: l5 -> l3 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 3 83: l5 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: -3+3*x3^0 46: l10 -> l3 : TRUE, cost: 2 47: l10 -> l5 : TRUE, cost: 2 49: l10 -> l4 : TRUE, cost: 2 51: l10 -> l4 : oldX4^0'=oldX7^post13, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^post13, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^post13, oldX7^0'=oldX7^post13, 0 == 0, cost: 3 52: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 3 59: l10 -> l3 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, x3^0 == 0, cost: 3 60: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 65: l10 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 4 66: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 >= 0, cost: 4 71: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 5 74: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3*x3^0 78: l10 -> l3 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 4 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: -3+3*x3^0 New rule: l10 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: -1+3*x3^0 Applied chaining First rule: l4 -> l5 : oldX4^0'=x2^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x1^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 2 Second rule: l5 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: -3+3*x3^0 New rule: l4 -> l5 : oldX4^0'=1+x2^0-x1^0, oldX1^0'=x1^0, x4^0'=1+x2^0-x1^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, (-x2^0+x1^0 <= 0 /\ -2+x1^0 >= 0), cost: -1+3*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 Second rule: l5 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: -3+3*x3^0 New rule: l10 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: 3*x3^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 >= 0, cost: 4 Second rule: l5 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: -3+3*x3^0 New rule: l10 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 4+3*x3^0 Applied deletion Removed the following rules: 83 Chained accelerated rules with incoming rules Start location: l10 26: l3 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 1 58: l4 -> l5 : oldX4^0'=x2^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x1^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 2 85: l4 -> l5 : oldX4^0'=1+x2^0-x1^0, oldX1^0'=x1^0, x4^0'=1+x2^0-x1^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, (-x2^0+x1^0 <= 0 /\ -2+x1^0 >= 0), cost: -1+3*x1^0 62: l5 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 3 76: l5 -> l3 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 3 46: l10 -> l3 : TRUE, cost: 2 47: l10 -> l5 : TRUE, cost: 2 49: l10 -> l4 : TRUE, cost: 2 51: l10 -> l4 : oldX4^0'=oldX7^post13, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^post13, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^post13, oldX7^0'=oldX7^post13, 0 == 0, cost: 3 52: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 3 59: l10 -> l3 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, x3^0 == 0, cost: 3 60: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 65: l10 -> l3 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 4 66: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 >= 0, cost: 4 71: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 5 74: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3*x3^0 78: l10 -> l3 : oldX4^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX3^0'=0, oldX0^0'=x0^0, x3^0'=0, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 4 84: l10 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: -1+3*x3^0 86: l10 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: 3*x3^0 87: l10 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 4+3*x3^0 Eliminated location l3 Start location: l10 58: l4 -> l5 : oldX4^0'=x2^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x1^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 2 85: l4 -> l5 : oldX4^0'=1+x2^0-x1^0, oldX1^0'=x1^0, x4^0'=1+x2^0-x1^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, (-x2^0+x1^0 <= 0 /\ -2+x1^0 >= 0), cost: -1+3*x1^0 90: l5 -> l4 : oldX4^0'=1+x4^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 4 92: l5 -> l4 : oldX4^0'=-1+x4^0, x2^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 4 47: l10 -> l5 : TRUE, cost: 2 49: l10 -> l4 : TRUE, cost: 2 51: l10 -> l4 : oldX4^0'=oldX7^post13, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^post13, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^post13, oldX7^0'=oldX7^post13, 0 == 0, cost: 3 52: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 3 60: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 66: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 >= 0, cost: 4 71: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 5 74: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3*x3^0 84: l10 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: -1+3*x3^0 86: l10 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -2+x3^0 >= 0, cost: 3*x3^0 87: l10 -> l5 : oldX4^0'=1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x3^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 4+3*x3^0 88: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 3 89: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, x3^0 == 0, cost: 4 91: l10 -> l4 : oldX4^0'=1+x4^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 5 93: l10 -> l4 : oldX4^0'=-1+x4^0, x2^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 5 Applied pruning (of leafs and parallel rules): Start location: l10 58: l4 -> l5 : oldX4^0'=x2^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x1^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 2 85: l4 -> l5 : oldX4^0'=1+x2^0-x1^0, oldX1^0'=x1^0, x4^0'=1+x2^0-x1^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, (-x2^0+x1^0 <= 0 /\ -2+x1^0 >= 0), cost: -1+3*x1^0 90: l5 -> l4 : oldX4^0'=1+x4^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 1+x3^0 == 0, cost: 4 92: l5 -> l4 : oldX4^0'=-1+x4^0, x2^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, -1+x3^0 == 0, cost: 4 47: l10 -> l5 : TRUE, cost: 2 49: l10 -> l4 : TRUE, cost: 2 51: l10 -> l4 : oldX4^0'=oldX7^post13, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^post13, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^post13, oldX7^0'=oldX7^post13, 0 == 0, cost: 3 52: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=oldX6^post12, oldX6^0'=oldX6^post12, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=oldX5^post12, oldX2^0'=x2^0, 0 == 0, cost: 3 60: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 66: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 >= 0, cost: 4 71: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 5 74: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3*x3^0 88: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, 0 == 0, cost: 3 89: l10 -> l4 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^post2, oldX6^0'=x4^post2, oldX3^0'=0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x3^post2, oldX2^0'=x2^0, x3^0 == 0, cost: 4 Eliminated location l4 Start location: l10 104: l5 -> l5 : oldX4^0'=1+x4^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=1+x4^0, (-1+x1^0 >= 0 /\ -1-x4^0+x1^0 <= 0 /\ 1+x3^0 == 0), cost: 6 105: l5 -> l5 : oldX4^0'=2+x4^0-x1^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=2+x4^0-x1^0, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=1+x4^0, (-1-x4^0+x1^0 <= 0 /\ 1+x3^0 == 0 /\ -2+x1^0 >= 0), cost: 3+3*x1^0 106: l5 -> l5 : oldX4^0'=-1+x4^0, x2^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=-1+x4^0, (-1+x1^0 >= 0 /\ -1+x3^0 == 0 /\ 1-x4^0+x1^0 <= 0), cost: 6 107: l5 -> l5 : oldX4^0'=x4^0-x1^0, x2^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=x4^0-x1^0, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0, (-1+x3^0 == 0 /\ 1-x4^0+x1^0 <= 0 /\ -2+x1^0 >= 0), cost: 3+3*x1^0 47: l10 -> l5 : TRUE, cost: 2 60: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 66: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 >= 0, cost: 4 71: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 5 74: l10 -> l5 : oldX4^0'=-1+x4^0-x3^0, oldX1^0'=x1^0, x4^0'=-1+x4^0-x3^0, oldX3^0'=-1, oldX0^0'=x0^0, x3^0'=-1, oldX2^0'=x2^0, 2+x3^0 <= 0, cost: -3*x3^0 94: l10 -> l5 : oldX4^0'=x2^0, oldX1^0'=x1^0, x4^0'=x2^0, oldX3^0'=x1^0, oldX0^0'=x0^0, x3^0'=x1^0, oldX2^0'=x2^0, (-1+x1^0 >= 0 /\ -x2^0+x1^0 <= 0), cost: 4 95: l10 -> l5 : oldX4^0'=1+x2^0-x1^0, oldX1^0'=x1^0, x4^0'=1+x2^0-x1^0, oldX3^0'=1, oldX0^0'=x0^0, x3^0'=1, oldX2^0'=x2^0, (-x2^0+x1^0 <= 0 /\ -2+x1^0 >= 0), cost: 1+3*x1^0 96: l10 -> l5 : oldX4^0'=x0^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=x0^0, oldX6^0'=oldX6^post12, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=x1^0, oldX2^0'=x0^0, oldX7^0'=oldX7^post13, (-1+x1^0 >= 0 /\ x1^0-x0^0 <= 0), cost: 5 97: l10 -> l5 : oldX4^0'=1-x1^0+x0^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=1-x1^0+x0^0, oldX6^0'=oldX6^post12, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=1, oldX2^0'=x0^0, oldX7^0'=oldX7^post13, (x1^0-x0^0 <= 0 /\ -2+x1^0 >= 0), cost: 2+3*x1^0 98: l10 -> l5 : oldX4^0'=x0^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=x0^0, oldX6^0'=oldX6^post12, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=x1^0, oldX2^0'=x0^0, (-1+x1^0 >= 0 /\ x1^0-x0^0 <= 0), cost: 5 99: l10 -> l5 : oldX4^0'=1-x1^0+x0^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=1-x1^0+x0^0, oldX6^0'=oldX6^post12, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=1, oldX2^0'=x0^0, (x1^0-x0^0 <= 0 /\ -2+x1^0 >= 0), cost: 2+3*x1^0 100: l10 -> l5 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x4^0, (-1+x1^0 >= 0 /\ -x4^0+x1^0 <= 0), cost: 5 101: l10 -> l5 : oldX4^0'=1+x4^0-x1^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x1^0, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=x4^0, (-x4^0+x1^0 <= 0 /\ -2+x1^0 >= 0), cost: 2+3*x1^0 102: l10 -> l5 : oldX4^0'=x4^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=x4^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x4^0, (-1+x1^0 >= 0 /\ x3^0 == 0 /\ -x4^0+x1^0 <= 0), cost: 6 103: l10 -> l5 : oldX4^0'=1+x4^0-x1^0, x2^0'=x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0-x1^0, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=x4^0, (x3^0 == 0 /\ -x4^0+x1^0 <= 0 /\ -2+x1^0 >= 0), cost: 3+3*x1^0 Applied pruning (of leafs and parallel rules): Start location: l10 104: l5 -> l5 : oldX4^0'=1+x4^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=1+x4^0, (-1+x1^0 >= 0 /\ -1-x4^0+x1^0 <= 0 /\ 1+x3^0 == 0), cost: 6 105: l5 -> l5 : oldX4^0'=2+x4^0-x1^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=2+x4^0-x1^0, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=1+x4^0, (-1-x4^0+x1^0 <= 0 /\ 1+x3^0 == 0 /\ -2+x1^0 >= 0), cost: 3+3*x1^0 106: l5 -> l5 : oldX4^0'=-1+x4^0, x2^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=-1+x4^0, (-1+x1^0 >= 0 /\ -1+x3^0 == 0 /\ 1-x4^0+x1^0 <= 0), cost: 6 107: l5 -> l5 : oldX4^0'=x4^0-x1^0, x2^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=x4^0-x1^0, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0, (-1+x3^0 == 0 /\ 1-x4^0+x1^0 <= 0 /\ -2+x1^0 >= 0), cost: 3+3*x1^0 47: l10 -> l5 : TRUE, cost: 2 60: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 71: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 5 96: l10 -> l5 : oldX4^0'=x0^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=x0^0, oldX6^0'=oldX6^post12, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=x1^0, oldX2^0'=x0^0, oldX7^0'=oldX7^post13, (-1+x1^0 >= 0 /\ x1^0-x0^0 <= 0), cost: 5 97: l10 -> l5 : oldX4^0'=1-x1^0+x0^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=1-x1^0+x0^0, oldX6^0'=oldX6^post12, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=1, oldX2^0'=x0^0, oldX7^0'=oldX7^post13, (x1^0-x0^0 <= 0 /\ -2+x1^0 >= 0), cost: 2+3*x1^0 Applied acceleration Original rule: l5 -> l5 : oldX4^0'=-1+x4^0, x2^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=-1+x4^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=-1+x4^0, (-1+x1^0 >= 0 /\ -1+x3^0 == 0 /\ 1-x4^0+x1^0 <= 0), cost: 6 New rule: l5 -> l5 : oldX4^0'=x4^0-n4, x2^0'=x4^0-n4, oldX1^0'=x1^0, x4^0'=x4^0-n4, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x4^0-n4, (1-x1^0 >= 0 /\ -1+x1^0 >= 0 /\ 1-x3^0 >= 0 /\ -1+x3^0 >= 0 /\ x4^0-x1^0-n4 >= 0 /\ -1+n4 >= 0), cost: 6*n4 Sub-proof via acceration calculus written to file:///tmp/tmpnam_PmIldP.txt Applied instantiation Original rule: l5 -> l5 : oldX4^0'=x4^0-n4, x2^0'=x4^0-n4, oldX1^0'=x1^0, x4^0'=x4^0-n4, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x4^0-n4, (1-x1^0 >= 0 /\ -1+x1^0 >= 0 /\ 1-x3^0 >= 0 /\ -1+x3^0 >= 0 /\ x4^0-x1^0-n4 >= 0 /\ -1+n4 >= 0), cost: 6*n4 New rule: l5 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, (0 >= 0 /\ 1-x1^0 >= 0 /\ -1+x1^0 >= 0 /\ -1+x4^0-x1^0 >= 0 /\ 1-x3^0 >= 0 /\ -1+x3^0 >= 0), cost: 6*x4^0-6*x1^0 Applied acceleration Original rule: l5 -> l5 : oldX4^0'=x4^0-x1^0, x2^0'=-1+x4^0, oldX1^0'=x1^0, x4^0'=x4^0-x1^0, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0, (-1+x3^0 == 0 /\ 1-x4^0+x1^0 <= 0 /\ -2+x1^0 >= 0), cost: 3+3*x1^0 New rule: l5 -> l5 : oldX4^0'=x4^0-x1^0-x1^0*(-1+n5), x2^0'=-1+x4^0-x1^0*(-1+n5), oldX1^0'=x1^0, x4^0'=x4^0-x1^0*n5, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0-x1^0*(-1+n5), (-1+x4^0-x1^0-x1^0*(-1+n5) >= 0 /\ 1-x3^0 >= 0 /\ -1+x3^0 >= 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 3*n5+3*x1^0*n5 Sub-proof via acceration calculus written to file:///tmp/tmpnam_DbHmid.txt Applied simplification Original rule: l5 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, (0 >= 0 /\ 1-x1^0 >= 0 /\ -1+x1^0 >= 0 /\ -1+x4^0-x1^0 >= 0 /\ 1-x3^0 >= 0 /\ -1+x3^0 >= 0), cost: 6*x4^0-6*x1^0 New rule: l5 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, (-1+x1^0 <= 0 /\ -1+x1^0 >= 0 /\ -1+x4^0-x1^0 >= 0 /\ -1+x3^0 <= 0 /\ -1+x3^0 >= 0), cost: 6*x4^0-6*x1^0 Applied simplification Original rule: l5 -> l5 : oldX4^0'=x4^0-x1^0-x1^0*(-1+n5), x2^0'=-1+x4^0-x1^0*(-1+n5), oldX1^0'=x1^0, x4^0'=x4^0-x1^0*n5, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0-x1^0*(-1+n5), (-1+x4^0-x1^0-x1^0*(-1+n5) >= 0 /\ 1-x3^0 >= 0 /\ -1+x3^0 >= 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 3*n5+3*x1^0*n5 New rule: l5 -> l5 : oldX4^0'=x4^0-x1^0-x1^0*(-1+n5), x2^0'=-1+x4^0-x1^0*(-1+n5), oldX1^0'=x1^0, x4^0'=x4^0-x1^0*n5, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0-x1^0*(-1+n5), (-1+x4^0-x1^0-x1^0*(-1+n5) >= 0 /\ -1+x3^0 <= 0 /\ -1+x3^0 >= 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 3*n5+3*x1^0*n5 Applied deletion Removed the following rules: 106 107 Accelerated simple loops Start location: l10 104: l5 -> l5 : oldX4^0'=1+x4^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=1+x4^0, (-1+x1^0 >= 0 /\ -1-x4^0+x1^0 <= 0 /\ 1+x3^0 == 0), cost: 6 105: l5 -> l5 : oldX4^0'=2+x4^0-x1^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=2+x4^0-x1^0, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=1+x4^0, (-1-x4^0+x1^0 <= 0 /\ 1+x3^0 == 0 /\ -2+x1^0 >= 0), cost: 3+3*x1^0 110: l5 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, (-1+x1^0 <= 0 /\ -1+x1^0 >= 0 /\ -1+x4^0-x1^0 >= 0 /\ -1+x3^0 <= 0 /\ -1+x3^0 >= 0), cost: 6*x4^0-6*x1^0 111: l5 -> l5 : oldX4^0'=x4^0-x1^0-x1^0*(-1+n5), x2^0'=-1+x4^0-x1^0*(-1+n5), oldX1^0'=x1^0, x4^0'=x4^0-x1^0*n5, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0-x1^0*(-1+n5), (-1+x4^0-x1^0-x1^0*(-1+n5) >= 0 /\ -1+x3^0 <= 0 /\ -1+x3^0 >= 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 3*n5+3*x1^0*n5 47: l10 -> l5 : TRUE, cost: 2 60: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 71: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 5 96: l10 -> l5 : oldX4^0'=x0^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=x0^0, oldX6^0'=oldX6^post12, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=x1^0, oldX2^0'=x0^0, oldX7^0'=oldX7^post13, (-1+x1^0 >= 0 /\ x1^0-x0^0 <= 0), cost: 5 97: l10 -> l5 : oldX4^0'=1-x1^0+x0^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=1-x1^0+x0^0, oldX6^0'=oldX6^post12, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=1, oldX2^0'=x0^0, oldX7^0'=oldX7^post13, (x1^0-x0^0 <= 0 /\ -2+x1^0 >= 0), cost: 2+3*x1^0 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=1+x4^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=1+x4^0, (-1+x1^0 >= 0 /\ -1-x4^0+x1^0 <= 0 /\ 1+x3^0 == 0), cost: 6 New rule: l10 -> l5 : oldX4^0'=1+x4^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=1+x4^0, (-1+x1^0 >= 0 /\ -1-x4^0+x1^0 <= 0 /\ 1+x3^0 == 0), cost: 8 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=2+x4^0-x1^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=2+x4^0-x1^0, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=1+x4^0, (-1-x4^0+x1^0 <= 0 /\ 1+x3^0 == 0 /\ -2+x1^0 >= 0), cost: 3+3*x1^0 New rule: l10 -> l5 : oldX4^0'=2+x4^0-x1^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=2+x4^0-x1^0, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=1+x4^0, (-1-x4^0+x1^0 <= 0 /\ 1+x3^0 == 0 /\ -2+x1^0 >= 0), cost: 5+3*x1^0 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, (-1+x1^0 <= 0 /\ -1+x1^0 >= 0 /\ -1+x4^0-x1^0 >= 0 /\ -1+x3^0 <= 0 /\ -1+x3^0 >= 0), cost: 6*x4^0-6*x1^0 New rule: l10 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, (-1+x1^0 == 0 /\ -1+x4^0-x1^0 >= 0 /\ -1+x3^0 == 0), cost: 2+6*x4^0-6*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 Second rule: l5 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, (-1+x1^0 <= 0 /\ -1+x1^0 >= 0 /\ -1+x4^0-x1^0 >= 0 /\ -1+x3^0 <= 0 /\ -1+x3^0 >= 0), cost: 6*x4^0-6*x1^0 New rule: l10 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, (-1+x1^0 == 0 /\ -1+x4^0-x1^0 >= 0 /\ -1+x3^0 == 0), cost: 3+6*x4^0-6*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 5 Second rule: l5 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, (-1+x1^0 <= 0 /\ -1+x1^0 >= 0 /\ -1+x4^0-x1^0 >= 0 /\ -1+x3^0 <= 0 /\ -1+x3^0 >= 0), cost: 6*x4^0-6*x1^0 New rule: l10 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, (-1+x1^0 == 0 /\ x4^0-x1^0 >= 0 /\ x3^0 == 0), cost: 11+6*x4^0-6*x1^0 Applied chaining First rule: l10 -> l5 : oldX4^0'=x0^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=x0^0, oldX6^0'=oldX6^post12, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=x1^0, oldX2^0'=x0^0, oldX7^0'=oldX7^post13, (-1+x1^0 >= 0 /\ x1^0-x0^0 <= 0), cost: 5 Second rule: l5 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, (-1+x1^0 <= 0 /\ -1+x1^0 >= 0 /\ -1+x4^0-x1^0 >= 0 /\ -1+x3^0 <= 0 /\ -1+x3^0 >= 0), cost: 6*x4^0-6*x1^0 New rule: l10 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, oldX7^0'=oldX7^post13, (-1+x1^0 == 0 /\ -1-x1^0+x0^0 >= 0), cost: 5-6*x1^0+6*x0^0 Applied chaining First rule: l10 -> l5 : TRUE, cost: 2 Second rule: l5 -> l5 : oldX4^0'=x4^0-x1^0-x1^0*(-1+n5), x2^0'=-1+x4^0-x1^0*(-1+n5), oldX1^0'=x1^0, x4^0'=x4^0-x1^0*n5, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0-x1^0*(-1+n5), (-1+x4^0-x1^0-x1^0*(-1+n5) >= 0 /\ -1+x3^0 <= 0 /\ -1+x3^0 >= 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 3*n5+3*x1^0*n5 New rule: l10 -> l5 : oldX4^0'=x4^0-x1^0-x1^0*(-1+n5), x2^0'=-1+x4^0-x1^0*(-1+n5), oldX1^0'=x1^0, x4^0'=x4^0-x1^0*n5, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0-x1^0*(-1+n5), (-1+x4^0-x1^0-x1^0*(-1+n5) >= 0 /\ -1+x3^0 == 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 2+3*n5+3*x1^0*n5 Applied chaining First rule: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 Second rule: l5 -> l5 : oldX4^0'=x4^0-x1^0-x1^0*(-1+n5), x2^0'=-1+x4^0-x1^0*(-1+n5), oldX1^0'=x1^0, x4^0'=x4^0-x1^0*n5, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0-x1^0*(-1+n5), (-1+x4^0-x1^0-x1^0*(-1+n5) >= 0 /\ -1+x3^0 <= 0 /\ -1+x3^0 >= 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 3*n5+3*x1^0*n5 New rule: l10 -> l5 : oldX4^0'=x4^0-x1^0-x1^0*(-1+n5), x2^0'=-1+x4^0-x1^0*(-1+n5), oldX1^0'=x1^0, x4^0'=x4^0-x1^0*n5, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0-x1^0*(-1+n5), (-1+x4^0-x1^0-x1^0*(-1+n5) >= 0 /\ -1+x3^0 == 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 3+3*n5+3*x1^0*n5 Applied chaining First rule: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 5 Second rule: l5 -> l5 : oldX4^0'=x4^0-x1^0-x1^0*(-1+n5), x2^0'=-1+x4^0-x1^0*(-1+n5), oldX1^0'=x1^0, x4^0'=x4^0-x1^0*n5, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0-x1^0*(-1+n5), (-1+x4^0-x1^0-x1^0*(-1+n5) >= 0 /\ -1+x3^0 <= 0 /\ -1+x3^0 >= 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 3*n5+3*x1^0*n5 New rule: l10 -> l5 : oldX4^0'=1+x4^0-x1^0-x1^0*(-1+n5), x2^0'=x4^0-x1^0*(-1+n5), oldX1^0'=x1^0, x4^0'=1+x4^0-x1^0*n5, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=x4^0-x1^0*(-1+n5), (x4^0-x1^0-x1^0*(-1+n5) >= 0 /\ x3^0 == 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 5+3*n5+3*x1^0*n5 Applied chaining First rule: l10 -> l5 : oldX4^0'=1-x1^0+x0^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=1-x1^0+x0^0, oldX6^0'=oldX6^post12, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=1, oldX2^0'=x0^0, oldX7^0'=oldX7^post13, (x1^0-x0^0 <= 0 /\ -2+x1^0 >= 0), cost: 2+3*x1^0 Second rule: l5 -> l5 : oldX4^0'=x4^0-x1^0-x1^0*(-1+n5), x2^0'=-1+x4^0-x1^0*(-1+n5), oldX1^0'=x1^0, x4^0'=x4^0-x1^0*n5, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0-x1^0*(-1+n5), (-1+x4^0-x1^0-x1^0*(-1+n5) >= 0 /\ -1+x3^0 <= 0 /\ -1+x3^0 >= 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 3*n5+3*x1^0*n5 New rule: l10 -> l5 : oldX4^0'=1-2*x1^0-x1^0*(-1+n5)+x0^0, x2^0'=-x1^0-x1^0*(-1+n5)+x0^0, oldX1^0'=x1^0, x4^0'=1-x1^0-x1^0*n5+x0^0, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-x1^0-x1^0*(-1+n5)+x0^0, oldX7^0'=oldX7^post13, (-2*x1^0-x1^0*(-1+n5)+x0^0 >= 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 2+3*x1^0+3*n5+3*x1^0*n5 Applied deletion Removed the following rules: 104 105 110 111 Chained accelerated rules with incoming rules Start location: l10 47: l10 -> l5 : TRUE, cost: 2 60: l10 -> l5 : oldX4^0'=x4^0, oldX1^0'=x1^0, oldX3^0'=x3^0, oldX0^0'=x0^0, oldX2^0'=x2^0, -1+x3^0 >= 0, cost: 3 71: l10 -> l5 : oldX4^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX3^0'=1+x3^0, oldX0^0'=x0^0, x3^0'=1+x3^0, oldX2^0'=x2^0, x3^0 == 0, cost: 5 96: l10 -> l5 : oldX4^0'=x0^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=x0^0, oldX6^0'=oldX6^post12, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=x1^0, oldX2^0'=x0^0, oldX7^0'=oldX7^post13, (-1+x1^0 >= 0 /\ x1^0-x0^0 <= 0), cost: 5 97: l10 -> l5 : oldX4^0'=1-x1^0+x0^0, x2^0'=x0^0, oldX1^0'=x1^0, x4^0'=1-x1^0+x0^0, oldX6^0'=oldX6^post12, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=oldX5^post12, x3^0'=1, oldX2^0'=x0^0, oldX7^0'=oldX7^post13, (x1^0-x0^0 <= 0 /\ -2+x1^0 >= 0), cost: 2+3*x1^0 112: l10 -> l5 : oldX4^0'=1+x4^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=1+x4^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=1+x4^0, (-1+x1^0 >= 0 /\ -1-x4^0+x1^0 <= 0 /\ 1+x3^0 == 0), cost: 8 113: l10 -> l5 : oldX4^0'=2+x4^0-x1^0, x2^0'=1+x4^0, oldX1^0'=x1^0, x4^0'=2+x4^0-x1^0, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=1+x4^0, (-1-x4^0+x1^0 <= 0 /\ 1+x3^0 == 0 /\ -2+x1^0 >= 0), cost: 5+3*x1^0 114: l10 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, (-1+x1^0 == 0 /\ -1+x4^0-x1^0 >= 0 /\ -1+x3^0 == 0), cost: 2+6*x4^0-6*x1^0 115: l10 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, (-1+x1^0 == 0 /\ -1+x4^0-x1^0 >= 0 /\ -1+x3^0 == 0), cost: 3+6*x4^0-6*x1^0 116: l10 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, (-1+x1^0 == 0 /\ x4^0-x1^0 >= 0 /\ x3^0 == 0), cost: 11+6*x4^0-6*x1^0 117: l10 -> l5 : oldX4^0'=x1^0, x2^0'=x1^0, oldX1^0'=x1^0, x4^0'=x1^0, oldX6^0'=x4^post2, oldX3^0'=x1^0, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=x1^0, oldX2^0'=x1^0, oldX7^0'=oldX7^post13, (-1+x1^0 == 0 /\ -1-x1^0+x0^0 >= 0), cost: 5-6*x1^0+6*x0^0 118: l10 -> l5 : oldX4^0'=x4^0-x1^0-x1^0*(-1+n5), x2^0'=-1+x4^0-x1^0*(-1+n5), oldX1^0'=x1^0, x4^0'=x4^0-x1^0*n5, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0-x1^0*(-1+n5), (-1+x4^0-x1^0-x1^0*(-1+n5) >= 0 /\ -1+x3^0 == 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 2+3*n5+3*x1^0*n5 119: l10 -> l5 : oldX4^0'=x4^0-x1^0-x1^0*(-1+n5), x2^0'=-1+x4^0-x1^0*(-1+n5), oldX1^0'=x1^0, x4^0'=x4^0-x1^0*n5, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-1+x4^0-x1^0*(-1+n5), (-1+x4^0-x1^0-x1^0*(-1+n5) >= 0 /\ -1+x3^0 == 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 3+3*n5+3*x1^0*n5 120: l10 -> l5 : oldX4^0'=1+x4^0-x1^0-x1^0*(-1+n5), x2^0'=x4^0-x1^0*(-1+n5), oldX1^0'=x1^0, x4^0'=1+x4^0-x1^0*n5, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=x4^0-x1^0*(-1+n5), (x4^0-x1^0-x1^0*(-1+n5) >= 0 /\ x3^0 == 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 5+3*n5+3*x1^0*n5 121: l10 -> l5 : oldX4^0'=1-2*x1^0-x1^0*(-1+n5)+x0^0, x2^0'=-x1^0-x1^0*(-1+n5)+x0^0, oldX1^0'=x1^0, x4^0'=1-x1^0-x1^0*n5+x0^0, oldX6^0'=x4^post2, oldX3^0'=1, oldX0^0'=x0^0, oldX5^0'=x3^post2, x3^0'=1, oldX2^0'=-x1^0-x1^0*(-1+n5)+x0^0, oldX7^0'=oldX7^post13, (-2*x1^0-x1^0*(-1+n5)+x0^0 >= 0 /\ -1+n5 >= 0 /\ -2+x1^0 >= 0), cost: 2+3*x1^0+3*n5+3*x1^0*n5 Removed unreachable locations and irrelevant leafs Start location: l10 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0