NO Initial ITS Start location: l14 0: l0 -> l1 : z_7^0'=z_7^post0, tmp_8^0'=tmp_8^post0, y_6^0'=y_6^post0, Result_4^0'=Result_4^post0, x_5^0'=x_5^post0, (-x_5^post0+x_5^0 == 0 /\ z_7^0-z_7^post0 == 0 /\ Result_4^0-Result_4^post0 == 0 /\ -tmp_8^post0+tmp_8^0 == 0 /\ y_6^0-y_6^post0 == 0), cost: 1 8: l1 -> l7 : z_7^0'=z_7^post8, tmp_8^0'=tmp_8^post8, y_6^0'=y_6^post8, Result_4^0'=Result_4^post8, x_5^0'=x_5^post8, (-x_5^post8+x_5^0 == 0 /\ y_6^0-y_6^post8 == 0 /\ z_7^0-z_7^post8 == 0 /\ -Result_4^post8+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post8 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 1 9: l1 -> l8 : z_7^0'=z_7^post9, tmp_8^0'=tmp_8^post9, y_6^0'=y_6^post9, Result_4^0'=Result_4^post9, x_5^0'=x_5^post9, (0 == 0 /\ -y_6^post9+y_6^0 == 0 /\ x_5^0-x_5^post9 == 0 /\ y_6^0-x_5^0 <= 0 /\ tmp_8^0-tmp_8^post9 == 0 /\ z_7^0-z_7^post9 == 0), cost: 1 1: l2 -> l3 : z_7^0'=z_7^post1, tmp_8^0'=tmp_8^post1, y_6^0'=y_6^post1, Result_4^0'=Result_4^post1, x_5^0'=x_5^post1, (0 == 0 /\ -Result_4^post1+Result_4^0 == 0 /\ -y_6^post1+y_6^0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ -x_5^post1+x_5^0 == 0 /\ z_7^0-z_7^post1 == 0 /\ tmp_8^post1 <= 0 /\ -tmp_8^post1 <= 0), cost: 1 2: l2 -> l5 : z_7^0'=z_7^post2, tmp_8^0'=tmp_8^post2, y_6^0'=y_6^post2, Result_4^0'=Result_4^post2, x_5^0'=x_5^post2, (0 == 0 /\ z_7^0-z_7^post2 == 0 /\ -x_5^post2+x_5^0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ Result_4^0-Result_4^post2 == 0 /\ y_6^0-y_6^post2 == 0), cost: 1 7: l2 -> l1 : z_7^0'=z_7^post7, tmp_8^0'=tmp_8^post7, y_6^0'=y_6^post7, Result_4^0'=Result_4^post7, x_5^0'=x_5^post7, (-y_6^post7+y_6^0 == 0 /\ z_7^0-y_6^0 <= 0 /\ Result_4^0-Result_4^post7 == 0 /\ tmp_8^0-tmp_8^post7 == 0 /\ z_7^0-z_7^post7 == 0 /\ -1-x_5^0+x_5^post7 == 0), cost: 1 16: l3 -> l11 : z_7^0'=z_7^post16, tmp_8^0'=tmp_8^post16, y_6^0'=y_6^post16, Result_4^0'=Result_4^post16, x_5^0'=x_5^post16, (0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ -y_6^post16+y_6^0 == 0 /\ z_7^0-z_7^post16 == 0 /\ -tmp_8^post16 <= 0 /\ -Result_4^post16+Result_4^0 == 0 /\ -x_5^post16+x_5^0 == 0 /\ tmp_8^post16 <= 0), cost: 1 18: l3 -> l12 : z_7^0'=z_7^post18, tmp_8^0'=tmp_8^post18, y_6^0'=y_6^post18, Result_4^0'=Result_4^post18, x_5^0'=x_5^post18, (0 == 0 /\ -y_6^post18+y_6^0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ x_5^0-x_5^post18 == 0 /\ Result_4^0-Result_4^post18 == 0 /\ z_7^0-z_7^post18 == 0), cost: 1 3: l5 -> l6 : z_7^0'=z_7^post3, tmp_8^0'=tmp_8^post3, y_6^0'=y_6^post3, Result_4^0'=Result_4^post3, x_5^0'=x_5^post3, (z_7^0-z_7^post3 == 0 /\ -x_5^post3+x_5^0 == 0 /\ 1+tmp_8^0 <= 0 /\ tmp_8^0-tmp_8^post3 == 0 /\ y_6^0-y_6^post3 == 0 /\ -Result_4^post3+Result_4^0 == 0), cost: 1 4: l5 -> l6 : z_7^0'=z_7^post4, tmp_8^0'=tmp_8^post4, y_6^0'=y_6^post4, Result_4^0'=Result_4^post4, x_5^0'=x_5^post4, (Result_4^0-Result_4^post4 == 0 /\ y_6^0-y_6^post4 == 0 /\ -x_5^post4+x_5^0 == 0 /\ tmp_8^0-tmp_8^post4 == 0 /\ z_7^0-z_7^post4 == 0 /\ 1-tmp_8^0 <= 0), cost: 1 5: l6 -> l4 : z_7^0'=z_7^post5, tmp_8^0'=tmp_8^post5, y_6^0'=y_6^post5, Result_4^0'=Result_4^post5, x_5^0'=x_5^post5, (x_5^0-x_5^post5 == 0 /\ -1+y_6^post5-y_6^0 == 0 /\ z_7^0-z_7^post5 == 0 /\ -Result_4^post5+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post5 == 0), cost: 1 6: l4 -> l2 : z_7^0'=z_7^post6, tmp_8^0'=tmp_8^post6, y_6^0'=y_6^post6, Result_4^0'=Result_4^post6, x_5^0'=x_5^post6, (-x_5^post6+x_5^0 == 0 /\ y_6^0-y_6^post6 == 0 /\ z_7^0-z_7^post6 == 0 /\ -Result_4^post6+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post6 == 0), cost: 1 10: l7 -> l3 : z_7^0'=z_7^post10, tmp_8^0'=tmp_8^post10, y_6^0'=y_6^post10, Result_4^0'=Result_4^post10, x_5^0'=x_5^post10, (0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ -tmp_8^post10 <= 0 /\ tmp_8^post10 <= 0 /\ -Result_4^post10+Result_4^0 == 0 /\ y_6^0-y_6^post10 == 0 /\ z_7^0-z_7^post10 == 0 /\ -x_5^post10+x_5^0 == 0), cost: 1 11: l7 -> l9 : z_7^0'=z_7^post11, tmp_8^0'=tmp_8^post11, y_6^0'=y_6^post11, Result_4^0'=Result_4^post11, x_5^0'=x_5^post11, (0 == 0 /\ -x_5^post11+x_5^0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ Result_4^0-Result_4^post11 == 0 /\ y_6^0-y_6^post11 == 0 /\ z_7^0-z_7^post11 == 0), cost: 1 15: l7 -> l1 : z_7^0'=z_7^post15, tmp_8^0'=tmp_8^post15, y_6^0'=y_6^post15, Result_4^0'=Result_4^post15, x_5^0'=x_5^post15, (Result_4^0-Result_4^post15 == 0 /\ y_6^0-y_6^post15 == 0 /\ tmp_8^0-tmp_8^post15 == 0 /\ -1+x_5^post15-x_5^0 == 0 /\ z_7^0-z_7^post15 == 0 /\ z_7^0-y_6^0 <= 0), cost: 1 12: l9 -> l10 : z_7^0'=z_7^post12, tmp_8^0'=tmp_8^post12, y_6^0'=y_6^post12, Result_4^0'=Result_4^post12, x_5^0'=x_5^post12, (-y_6^post12+y_6^0 == 0 /\ tmp_8^0-tmp_8^post12 == 0 /\ 1+tmp_8^0 <= 0 /\ z_7^0-z_7^post12 == 0 /\ -Result_4^post12+Result_4^0 == 0 /\ -x_5^post12+x_5^0 == 0), cost: 1 13: l9 -> l10 : z_7^0'=z_7^post13, tmp_8^0'=tmp_8^post13, y_6^0'=y_6^post13, Result_4^0'=Result_4^post13, x_5^0'=x_5^post13, (Result_4^0-Result_4^post13 == 0 /\ y_6^0-y_6^post13 == 0 /\ tmp_8^0-tmp_8^post13 == 0 /\ z_7^0-z_7^post13 == 0 /\ 1-tmp_8^0 <= 0 /\ -x_5^post13+x_5^0 == 0), cost: 1 14: l10 -> l2 : z_7^0'=z_7^post14, tmp_8^0'=tmp_8^post14, y_6^0'=y_6^post14, Result_4^0'=Result_4^post14, x_5^0'=x_5^post14, (-x_5^post14+x_5^0 == 0 /\ -1-y_6^0+y_6^post14 == 0 /\ z_7^0-z_7^post14 == 0 /\ tmp_8^0-tmp_8^post14 == 0 /\ -Result_4^post14+Result_4^0 == 0), cost: 1 17: l11 -> l3 : z_7^0'=z_7^post17, tmp_8^0'=tmp_8^post17, y_6^0'=y_6^post17, Result_4^0'=Result_4^post17, x_5^0'=x_5^post17, (y_6^0-y_6^post17 == 0 /\ -x_5^post17+x_5^0 == 0 /\ tmp_8^0-tmp_8^post17 == 0 /\ -z_7^post17+z_7^0 == 0 /\ -Result_4^post17+Result_4^0 == 0), cost: 1 19: l12 -> l13 : z_7^0'=z_7^post19, tmp_8^0'=tmp_8^post19, y_6^0'=y_6^post19, Result_4^0'=Result_4^post19, x_5^0'=x_5^post19, (tmp_8^0-tmp_8^post19 == 0 /\ -Result_4^post19+Result_4^0 == 0 /\ 1+tmp_8^0 <= 0 /\ y_6^0-y_6^post19 == 0 /\ -x_5^post19+x_5^0 == 0 /\ z_7^0-z_7^post19 == 0), cost: 1 20: l12 -> l13 : z_7^0'=z_7^post20, tmp_8^0'=tmp_8^post20, y_6^0'=y_6^post20, Result_4^0'=Result_4^post20, x_5^0'=x_5^post20, (z_7^0-z_7^post20 == 0 /\ -x_5^post20+x_5^0 == 0 /\ -y_6^post20+y_6^0 == 0 /\ -tmp_8^post20+tmp_8^0 == 0 /\ 1-tmp_8^0 <= 0 /\ Result_4^0-Result_4^post20 == 0), cost: 1 21: l13 -> l2 : z_7^0'=z_7^post21, tmp_8^0'=tmp_8^post21, y_6^0'=y_6^post21, Result_4^0'=Result_4^post21, x_5^0'=x_5^post21, (-x_5^post21+x_5^0 == 0 /\ z_7^0-z_7^post21 == 0 /\ -1-y_6^0+y_6^post21 == 0 /\ -Result_4^post21+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post21 == 0), cost: 1 22: l14 -> l0 : z_7^0'=z_7^post22, tmp_8^0'=tmp_8^post22, y_6^0'=y_6^post22, Result_4^0'=Result_4^post22, x_5^0'=x_5^post22, (x_5^0-x_5^post22 == 0 /\ z_7^0-z_7^post22 == 0 /\ -y_6^post22+y_6^0 == 0 /\ -Result_4^post22+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post22 == 0), cost: 1 Removed unreachable rules and leafs Start location: l14 0: l0 -> l1 : z_7^0'=z_7^post0, tmp_8^0'=tmp_8^post0, y_6^0'=y_6^post0, Result_4^0'=Result_4^post0, x_5^0'=x_5^post0, (-x_5^post0+x_5^0 == 0 /\ z_7^0-z_7^post0 == 0 /\ Result_4^0-Result_4^post0 == 0 /\ -tmp_8^post0+tmp_8^0 == 0 /\ y_6^0-y_6^post0 == 0), cost: 1 8: l1 -> l7 : z_7^0'=z_7^post8, tmp_8^0'=tmp_8^post8, y_6^0'=y_6^post8, Result_4^0'=Result_4^post8, x_5^0'=x_5^post8, (-x_5^post8+x_5^0 == 0 /\ y_6^0-y_6^post8 == 0 /\ z_7^0-z_7^post8 == 0 /\ -Result_4^post8+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post8 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 1 1: l2 -> l3 : z_7^0'=z_7^post1, tmp_8^0'=tmp_8^post1, y_6^0'=y_6^post1, Result_4^0'=Result_4^post1, x_5^0'=x_5^post1, (0 == 0 /\ -Result_4^post1+Result_4^0 == 0 /\ -y_6^post1+y_6^0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ -x_5^post1+x_5^0 == 0 /\ z_7^0-z_7^post1 == 0 /\ tmp_8^post1 <= 0 /\ -tmp_8^post1 <= 0), cost: 1 2: l2 -> l5 : z_7^0'=z_7^post2, tmp_8^0'=tmp_8^post2, y_6^0'=y_6^post2, Result_4^0'=Result_4^post2, x_5^0'=x_5^post2, (0 == 0 /\ z_7^0-z_7^post2 == 0 /\ -x_5^post2+x_5^0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ Result_4^0-Result_4^post2 == 0 /\ y_6^0-y_6^post2 == 0), cost: 1 7: l2 -> l1 : z_7^0'=z_7^post7, tmp_8^0'=tmp_8^post7, y_6^0'=y_6^post7, Result_4^0'=Result_4^post7, x_5^0'=x_5^post7, (-y_6^post7+y_6^0 == 0 /\ z_7^0-y_6^0 <= 0 /\ Result_4^0-Result_4^post7 == 0 /\ tmp_8^0-tmp_8^post7 == 0 /\ z_7^0-z_7^post7 == 0 /\ -1-x_5^0+x_5^post7 == 0), cost: 1 16: l3 -> l11 : z_7^0'=z_7^post16, tmp_8^0'=tmp_8^post16, y_6^0'=y_6^post16, Result_4^0'=Result_4^post16, x_5^0'=x_5^post16, (0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ -y_6^post16+y_6^0 == 0 /\ z_7^0-z_7^post16 == 0 /\ -tmp_8^post16 <= 0 /\ -Result_4^post16+Result_4^0 == 0 /\ -x_5^post16+x_5^0 == 0 /\ tmp_8^post16 <= 0), cost: 1 18: l3 -> l12 : z_7^0'=z_7^post18, tmp_8^0'=tmp_8^post18, y_6^0'=y_6^post18, Result_4^0'=Result_4^post18, x_5^0'=x_5^post18, (0 == 0 /\ -y_6^post18+y_6^0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ x_5^0-x_5^post18 == 0 /\ Result_4^0-Result_4^post18 == 0 /\ z_7^0-z_7^post18 == 0), cost: 1 3: l5 -> l6 : z_7^0'=z_7^post3, tmp_8^0'=tmp_8^post3, y_6^0'=y_6^post3, Result_4^0'=Result_4^post3, x_5^0'=x_5^post3, (z_7^0-z_7^post3 == 0 /\ -x_5^post3+x_5^0 == 0 /\ 1+tmp_8^0 <= 0 /\ tmp_8^0-tmp_8^post3 == 0 /\ y_6^0-y_6^post3 == 0 /\ -Result_4^post3+Result_4^0 == 0), cost: 1 4: l5 -> l6 : z_7^0'=z_7^post4, tmp_8^0'=tmp_8^post4, y_6^0'=y_6^post4, Result_4^0'=Result_4^post4, x_5^0'=x_5^post4, (Result_4^0-Result_4^post4 == 0 /\ y_6^0-y_6^post4 == 0 /\ -x_5^post4+x_5^0 == 0 /\ tmp_8^0-tmp_8^post4 == 0 /\ z_7^0-z_7^post4 == 0 /\ 1-tmp_8^0 <= 0), cost: 1 5: l6 -> l4 : z_7^0'=z_7^post5, tmp_8^0'=tmp_8^post5, y_6^0'=y_6^post5, Result_4^0'=Result_4^post5, x_5^0'=x_5^post5, (x_5^0-x_5^post5 == 0 /\ -1+y_6^post5-y_6^0 == 0 /\ z_7^0-z_7^post5 == 0 /\ -Result_4^post5+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post5 == 0), cost: 1 6: l4 -> l2 : z_7^0'=z_7^post6, tmp_8^0'=tmp_8^post6, y_6^0'=y_6^post6, Result_4^0'=Result_4^post6, x_5^0'=x_5^post6, (-x_5^post6+x_5^0 == 0 /\ y_6^0-y_6^post6 == 0 /\ z_7^0-z_7^post6 == 0 /\ -Result_4^post6+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post6 == 0), cost: 1 10: l7 -> l3 : z_7^0'=z_7^post10, tmp_8^0'=tmp_8^post10, y_6^0'=y_6^post10, Result_4^0'=Result_4^post10, x_5^0'=x_5^post10, (0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ -tmp_8^post10 <= 0 /\ tmp_8^post10 <= 0 /\ -Result_4^post10+Result_4^0 == 0 /\ y_6^0-y_6^post10 == 0 /\ z_7^0-z_7^post10 == 0 /\ -x_5^post10+x_5^0 == 0), cost: 1 11: l7 -> l9 : z_7^0'=z_7^post11, tmp_8^0'=tmp_8^post11, y_6^0'=y_6^post11, Result_4^0'=Result_4^post11, x_5^0'=x_5^post11, (0 == 0 /\ -x_5^post11+x_5^0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ Result_4^0-Result_4^post11 == 0 /\ y_6^0-y_6^post11 == 0 /\ z_7^0-z_7^post11 == 0), cost: 1 15: l7 -> l1 : z_7^0'=z_7^post15, tmp_8^0'=tmp_8^post15, y_6^0'=y_6^post15, Result_4^0'=Result_4^post15, x_5^0'=x_5^post15, (Result_4^0-Result_4^post15 == 0 /\ y_6^0-y_6^post15 == 0 /\ tmp_8^0-tmp_8^post15 == 0 /\ -1+x_5^post15-x_5^0 == 0 /\ z_7^0-z_7^post15 == 0 /\ z_7^0-y_6^0 <= 0), cost: 1 12: l9 -> l10 : z_7^0'=z_7^post12, tmp_8^0'=tmp_8^post12, y_6^0'=y_6^post12, Result_4^0'=Result_4^post12, x_5^0'=x_5^post12, (-y_6^post12+y_6^0 == 0 /\ tmp_8^0-tmp_8^post12 == 0 /\ 1+tmp_8^0 <= 0 /\ z_7^0-z_7^post12 == 0 /\ -Result_4^post12+Result_4^0 == 0 /\ -x_5^post12+x_5^0 == 0), cost: 1 13: l9 -> l10 : z_7^0'=z_7^post13, tmp_8^0'=tmp_8^post13, y_6^0'=y_6^post13, Result_4^0'=Result_4^post13, x_5^0'=x_5^post13, (Result_4^0-Result_4^post13 == 0 /\ y_6^0-y_6^post13 == 0 /\ tmp_8^0-tmp_8^post13 == 0 /\ z_7^0-z_7^post13 == 0 /\ 1-tmp_8^0 <= 0 /\ -x_5^post13+x_5^0 == 0), cost: 1 14: l10 -> l2 : z_7^0'=z_7^post14, tmp_8^0'=tmp_8^post14, y_6^0'=y_6^post14, Result_4^0'=Result_4^post14, x_5^0'=x_5^post14, (-x_5^post14+x_5^0 == 0 /\ -1-y_6^0+y_6^post14 == 0 /\ z_7^0-z_7^post14 == 0 /\ tmp_8^0-tmp_8^post14 == 0 /\ -Result_4^post14+Result_4^0 == 0), cost: 1 17: l11 -> l3 : z_7^0'=z_7^post17, tmp_8^0'=tmp_8^post17, y_6^0'=y_6^post17, Result_4^0'=Result_4^post17, x_5^0'=x_5^post17, (y_6^0-y_6^post17 == 0 /\ -x_5^post17+x_5^0 == 0 /\ tmp_8^0-tmp_8^post17 == 0 /\ -z_7^post17+z_7^0 == 0 /\ -Result_4^post17+Result_4^0 == 0), cost: 1 19: l12 -> l13 : z_7^0'=z_7^post19, tmp_8^0'=tmp_8^post19, y_6^0'=y_6^post19, Result_4^0'=Result_4^post19, x_5^0'=x_5^post19, (tmp_8^0-tmp_8^post19 == 0 /\ -Result_4^post19+Result_4^0 == 0 /\ 1+tmp_8^0 <= 0 /\ y_6^0-y_6^post19 == 0 /\ -x_5^post19+x_5^0 == 0 /\ z_7^0-z_7^post19 == 0), cost: 1 20: l12 -> l13 : z_7^0'=z_7^post20, tmp_8^0'=tmp_8^post20, y_6^0'=y_6^post20, Result_4^0'=Result_4^post20, x_5^0'=x_5^post20, (z_7^0-z_7^post20 == 0 /\ -x_5^post20+x_5^0 == 0 /\ -y_6^post20+y_6^0 == 0 /\ -tmp_8^post20+tmp_8^0 == 0 /\ 1-tmp_8^0 <= 0 /\ Result_4^0-Result_4^post20 == 0), cost: 1 21: l13 -> l2 : z_7^0'=z_7^post21, tmp_8^0'=tmp_8^post21, y_6^0'=y_6^post21, Result_4^0'=Result_4^post21, x_5^0'=x_5^post21, (-x_5^post21+x_5^0 == 0 /\ z_7^0-z_7^post21 == 0 /\ -1-y_6^0+y_6^post21 == 0 /\ -Result_4^post21+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post21 == 0), cost: 1 22: l14 -> l0 : z_7^0'=z_7^post22, tmp_8^0'=tmp_8^post22, y_6^0'=y_6^post22, Result_4^0'=Result_4^post22, x_5^0'=x_5^post22, (x_5^0-x_5^post22 == 0 /\ z_7^0-z_7^post22 == 0 /\ -y_6^post22+y_6^0 == 0 /\ -Result_4^post22+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post22 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : z_7^0'=z_7^post0, tmp_8^0'=tmp_8^post0, y_6^0'=y_6^post0, Result_4^0'=Result_4^post0, x_5^0'=x_5^post0, (-x_5^post0+x_5^0 == 0 /\ z_7^0-z_7^post0 == 0 /\ Result_4^0-Result_4^post0 == 0 /\ -tmp_8^post0+tmp_8^0 == 0 /\ y_6^0-y_6^post0 == 0), cost: 1 New rule: l0 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l3 : z_7^0'=z_7^post1, tmp_8^0'=tmp_8^post1, y_6^0'=y_6^post1, Result_4^0'=Result_4^post1, x_5^0'=x_5^post1, (0 == 0 /\ -Result_4^post1+Result_4^0 == 0 /\ -y_6^post1+y_6^0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ -x_5^post1+x_5^0 == 0 /\ z_7^0-z_7^post1 == 0 /\ tmp_8^post1 <= 0 /\ -tmp_8^post1 <= 0), cost: 1 New rule: l2 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 Applied preprocessing Original rule: l2 -> l5 : z_7^0'=z_7^post2, tmp_8^0'=tmp_8^post2, y_6^0'=y_6^post2, Result_4^0'=Result_4^post2, x_5^0'=x_5^post2, (0 == 0 /\ z_7^0-z_7^post2 == 0 /\ -x_5^post2+x_5^0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ Result_4^0-Result_4^post2 == 0 /\ y_6^0-y_6^post2 == 0), cost: 1 New rule: l2 -> l5 : tmp_8^0'=tmp_8^post2, 1-z_7^0+y_6^0 <= 0, cost: 1 Applied preprocessing Original rule: l5 -> l6 : z_7^0'=z_7^post3, tmp_8^0'=tmp_8^post3, y_6^0'=y_6^post3, Result_4^0'=Result_4^post3, x_5^0'=x_5^post3, (z_7^0-z_7^post3 == 0 /\ -x_5^post3+x_5^0 == 0 /\ 1+tmp_8^0 <= 0 /\ tmp_8^0-tmp_8^post3 == 0 /\ y_6^0-y_6^post3 == 0 /\ -Result_4^post3+Result_4^0 == 0), cost: 1 New rule: l5 -> l6 : 1+tmp_8^0 <= 0, cost: 1 Applied preprocessing Original rule: l5 -> l6 : z_7^0'=z_7^post4, tmp_8^0'=tmp_8^post4, y_6^0'=y_6^post4, Result_4^0'=Result_4^post4, x_5^0'=x_5^post4, (Result_4^0-Result_4^post4 == 0 /\ y_6^0-y_6^post4 == 0 /\ -x_5^post4+x_5^0 == 0 /\ tmp_8^0-tmp_8^post4 == 0 /\ z_7^0-z_7^post4 == 0 /\ 1-tmp_8^0 <= 0), cost: 1 New rule: l5 -> l6 : -1+tmp_8^0 >= 0, cost: 1 Applied preprocessing Original rule: l6 -> l4 : z_7^0'=z_7^post5, tmp_8^0'=tmp_8^post5, y_6^0'=y_6^post5, Result_4^0'=Result_4^post5, x_5^0'=x_5^post5, (x_5^0-x_5^post5 == 0 /\ -1+y_6^post5-y_6^0 == 0 /\ z_7^0-z_7^post5 == 0 /\ -Result_4^post5+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post5 == 0), cost: 1 New rule: l6 -> l4 : y_6^0'=1+y_6^0, TRUE, cost: 1 Applied preprocessing Original rule: l4 -> l2 : z_7^0'=z_7^post6, tmp_8^0'=tmp_8^post6, y_6^0'=y_6^post6, Result_4^0'=Result_4^post6, x_5^0'=x_5^post6, (-x_5^post6+x_5^0 == 0 /\ y_6^0-y_6^post6 == 0 /\ z_7^0-z_7^post6 == 0 /\ -Result_4^post6+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post6 == 0), cost: 1 New rule: l4 -> l2 : TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l1 : z_7^0'=z_7^post7, tmp_8^0'=tmp_8^post7, y_6^0'=y_6^post7, Result_4^0'=Result_4^post7, x_5^0'=x_5^post7, (-y_6^post7+y_6^0 == 0 /\ z_7^0-y_6^0 <= 0 /\ Result_4^0-Result_4^post7 == 0 /\ tmp_8^0-tmp_8^post7 == 0 /\ z_7^0-z_7^post7 == 0 /\ -1-x_5^0+x_5^post7 == 0), cost: 1 New rule: l2 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 Applied preprocessing Original rule: l1 -> l7 : z_7^0'=z_7^post8, tmp_8^0'=tmp_8^post8, y_6^0'=y_6^post8, Result_4^0'=Result_4^post8, x_5^0'=x_5^post8, (-x_5^post8+x_5^0 == 0 /\ y_6^0-y_6^post8 == 0 /\ z_7^0-z_7^post8 == 0 /\ -Result_4^post8+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post8 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 1 New rule: l1 -> l7 : 1-y_6^0+x_5^0 <= 0, cost: 1 Applied preprocessing Original rule: l7 -> l3 : z_7^0'=z_7^post10, tmp_8^0'=tmp_8^post10, y_6^0'=y_6^post10, Result_4^0'=Result_4^post10, x_5^0'=x_5^post10, (0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ -tmp_8^post10 <= 0 /\ tmp_8^post10 <= 0 /\ -Result_4^post10+Result_4^0 == 0 /\ y_6^0-y_6^post10 == 0 /\ z_7^0-z_7^post10 == 0 /\ -x_5^post10+x_5^0 == 0), cost: 1 New rule: l7 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 Applied preprocessing Original rule: l7 -> l9 : z_7^0'=z_7^post11, tmp_8^0'=tmp_8^post11, y_6^0'=y_6^post11, Result_4^0'=Result_4^post11, x_5^0'=x_5^post11, (0 == 0 /\ -x_5^post11+x_5^0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ Result_4^0-Result_4^post11 == 0 /\ y_6^0-y_6^post11 == 0 /\ z_7^0-z_7^post11 == 0), cost: 1 New rule: l7 -> l9 : tmp_8^0'=tmp_8^post11, 1-z_7^0+y_6^0 <= 0, cost: 1 Applied preprocessing Original rule: l9 -> l10 : z_7^0'=z_7^post12, tmp_8^0'=tmp_8^post12, y_6^0'=y_6^post12, Result_4^0'=Result_4^post12, x_5^0'=x_5^post12, (-y_6^post12+y_6^0 == 0 /\ tmp_8^0-tmp_8^post12 == 0 /\ 1+tmp_8^0 <= 0 /\ z_7^0-z_7^post12 == 0 /\ -Result_4^post12+Result_4^0 == 0 /\ -x_5^post12+x_5^0 == 0), cost: 1 New rule: l9 -> l10 : 1+tmp_8^0 <= 0, cost: 1 Applied preprocessing Original rule: l9 -> l10 : z_7^0'=z_7^post13, tmp_8^0'=tmp_8^post13, y_6^0'=y_6^post13, Result_4^0'=Result_4^post13, x_5^0'=x_5^post13, (Result_4^0-Result_4^post13 == 0 /\ y_6^0-y_6^post13 == 0 /\ tmp_8^0-tmp_8^post13 == 0 /\ z_7^0-z_7^post13 == 0 /\ 1-tmp_8^0 <= 0 /\ -x_5^post13+x_5^0 == 0), cost: 1 New rule: l9 -> l10 : -1+tmp_8^0 >= 0, cost: 1 Applied preprocessing Original rule: l10 -> l2 : z_7^0'=z_7^post14, tmp_8^0'=tmp_8^post14, y_6^0'=y_6^post14, Result_4^0'=Result_4^post14, x_5^0'=x_5^post14, (-x_5^post14+x_5^0 == 0 /\ -1-y_6^0+y_6^post14 == 0 /\ z_7^0-z_7^post14 == 0 /\ tmp_8^0-tmp_8^post14 == 0 /\ -Result_4^post14+Result_4^0 == 0), cost: 1 New rule: l10 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l1 : z_7^0'=z_7^post15, tmp_8^0'=tmp_8^post15, y_6^0'=y_6^post15, Result_4^0'=Result_4^post15, x_5^0'=x_5^post15, (Result_4^0-Result_4^post15 == 0 /\ y_6^0-y_6^post15 == 0 /\ tmp_8^0-tmp_8^post15 == 0 /\ -1+x_5^post15-x_5^0 == 0 /\ z_7^0-z_7^post15 == 0 /\ z_7^0-y_6^0 <= 0), cost: 1 New rule: l7 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 Applied preprocessing Original rule: l3 -> l11 : z_7^0'=z_7^post16, tmp_8^0'=tmp_8^post16, y_6^0'=y_6^post16, Result_4^0'=Result_4^post16, x_5^0'=x_5^post16, (0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ -y_6^post16+y_6^0 == 0 /\ z_7^0-z_7^post16 == 0 /\ -tmp_8^post16 <= 0 /\ -Result_4^post16+Result_4^0 == 0 /\ -x_5^post16+x_5^0 == 0 /\ tmp_8^post16 <= 0), cost: 1 New rule: l3 -> l11 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 Applied preprocessing Original rule: l11 -> l3 : z_7^0'=z_7^post17, tmp_8^0'=tmp_8^post17, y_6^0'=y_6^post17, Result_4^0'=Result_4^post17, x_5^0'=x_5^post17, (y_6^0-y_6^post17 == 0 /\ -x_5^post17+x_5^0 == 0 /\ tmp_8^0-tmp_8^post17 == 0 /\ -z_7^post17+z_7^0 == 0 /\ -Result_4^post17+Result_4^0 == 0), cost: 1 New rule: l11 -> l3 : TRUE, cost: 1 Applied preprocessing Original rule: l3 -> l12 : z_7^0'=z_7^post18, tmp_8^0'=tmp_8^post18, y_6^0'=y_6^post18, Result_4^0'=Result_4^post18, x_5^0'=x_5^post18, (0 == 0 /\ -y_6^post18+y_6^0 == 0 /\ 1-z_7^0+y_6^0 <= 0 /\ x_5^0-x_5^post18 == 0 /\ Result_4^0-Result_4^post18 == 0 /\ z_7^0-z_7^post18 == 0), cost: 1 New rule: l3 -> l12 : tmp_8^0'=tmp_8^post18, 1-z_7^0+y_6^0 <= 0, cost: 1 Applied preprocessing Original rule: l12 -> l13 : z_7^0'=z_7^post19, tmp_8^0'=tmp_8^post19, y_6^0'=y_6^post19, Result_4^0'=Result_4^post19, x_5^0'=x_5^post19, (tmp_8^0-tmp_8^post19 == 0 /\ -Result_4^post19+Result_4^0 == 0 /\ 1+tmp_8^0 <= 0 /\ y_6^0-y_6^post19 == 0 /\ -x_5^post19+x_5^0 == 0 /\ z_7^0-z_7^post19 == 0), cost: 1 New rule: l12 -> l13 : 1+tmp_8^0 <= 0, cost: 1 Applied preprocessing Original rule: l12 -> l13 : z_7^0'=z_7^post20, tmp_8^0'=tmp_8^post20, y_6^0'=y_6^post20, Result_4^0'=Result_4^post20, x_5^0'=x_5^post20, (z_7^0-z_7^post20 == 0 /\ -x_5^post20+x_5^0 == 0 /\ -y_6^post20+y_6^0 == 0 /\ -tmp_8^post20+tmp_8^0 == 0 /\ 1-tmp_8^0 <= 0 /\ Result_4^0-Result_4^post20 == 0), cost: 1 New rule: l12 -> l13 : -1+tmp_8^0 >= 0, cost: 1 Applied preprocessing Original rule: l13 -> l2 : z_7^0'=z_7^post21, tmp_8^0'=tmp_8^post21, y_6^0'=y_6^post21, Result_4^0'=Result_4^post21, x_5^0'=x_5^post21, (-x_5^post21+x_5^0 == 0 /\ z_7^0-z_7^post21 == 0 /\ -1-y_6^0+y_6^post21 == 0 /\ -Result_4^post21+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post21 == 0), cost: 1 New rule: l13 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l0 : z_7^0'=z_7^post22, tmp_8^0'=tmp_8^post22, y_6^0'=y_6^post22, Result_4^0'=Result_4^post22, x_5^0'=x_5^post22, (x_5^0-x_5^post22 == 0 /\ z_7^0-z_7^post22 == 0 /\ -y_6^post22+y_6^0 == 0 /\ -Result_4^post22+Result_4^0 == 0 /\ tmp_8^0-tmp_8^post22 == 0), cost: 1 New rule: l14 -> l0 : TRUE, cost: 1 Simplified rules Start location: l14 23: l0 -> l1 : TRUE, cost: 1 31: l1 -> l7 : 1-y_6^0+x_5^0 <= 0, cost: 1 24: l2 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 25: l2 -> l5 : tmp_8^0'=tmp_8^post2, 1-z_7^0+y_6^0 <= 0, cost: 1 30: l2 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 38: l3 -> l11 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 40: l3 -> l12 : tmp_8^0'=tmp_8^post18, 1-z_7^0+y_6^0 <= 0, cost: 1 26: l5 -> l6 : 1+tmp_8^0 <= 0, cost: 1 27: l5 -> l6 : -1+tmp_8^0 >= 0, cost: 1 28: l6 -> l4 : y_6^0'=1+y_6^0, TRUE, cost: 1 29: l4 -> l2 : TRUE, cost: 1 32: l7 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 33: l7 -> l9 : tmp_8^0'=tmp_8^post11, 1-z_7^0+y_6^0 <= 0, cost: 1 37: l7 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 34: l9 -> l10 : 1+tmp_8^0 <= 0, cost: 1 35: l9 -> l10 : -1+tmp_8^0 >= 0, cost: 1 36: l10 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 39: l11 -> l3 : TRUE, cost: 1 41: l12 -> l13 : 1+tmp_8^0 <= 0, cost: 1 42: l12 -> l13 : -1+tmp_8^0 >= 0, cost: 1 43: l13 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 44: l14 -> l0 : TRUE, cost: 1 Eliminating location l0 by chaining: Applied chaining First rule: l14 -> l0 : TRUE, cost: 1 Second rule: l0 -> l1 : TRUE, cost: 1 New rule: l14 -> l1 : TRUE, cost: 2 Applied deletion Removed the following rules: 23 44 Eliminating location l11 by chaining: Applied chaining First rule: l3 -> l11 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 Second rule: l11 -> l3 : TRUE, cost: 1 New rule: l3 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 2 Applied deletion Removed the following rules: 38 39 Eliminating location l4 by chaining: Applied chaining First rule: l6 -> l4 : y_6^0'=1+y_6^0, TRUE, cost: 1 Second rule: l4 -> l2 : TRUE, cost: 1 New rule: l6 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 2 Applied deletion Removed the following rules: 28 29 Eliminated locations on linear paths Start location: l14 31: l1 -> l7 : 1-y_6^0+x_5^0 <= 0, cost: 1 24: l2 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 25: l2 -> l5 : tmp_8^0'=tmp_8^post2, 1-z_7^0+y_6^0 <= 0, cost: 1 30: l2 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 40: l3 -> l12 : tmp_8^0'=tmp_8^post18, 1-z_7^0+y_6^0 <= 0, cost: 1 46: l3 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 2 26: l5 -> l6 : 1+tmp_8^0 <= 0, cost: 1 27: l5 -> l6 : -1+tmp_8^0 >= 0, cost: 1 47: l6 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 2 32: l7 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 33: l7 -> l9 : tmp_8^0'=tmp_8^post11, 1-z_7^0+y_6^0 <= 0, cost: 1 37: l7 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 34: l9 -> l10 : 1+tmp_8^0 <= 0, cost: 1 35: l9 -> l10 : -1+tmp_8^0 >= 0, cost: 1 36: l10 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 41: l12 -> l13 : 1+tmp_8^0 <= 0, cost: 1 42: l12 -> l13 : -1+tmp_8^0 >= 0, cost: 1 43: l13 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 45: l14 -> l1 : TRUE, cost: 2 Applied nonterm Original rule: l3 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 2 New rule: l3 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ -1+n >= 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_JAHcNO.txt Applied deletion Removed the following rules: 46 Accelerated simple loops Start location: l14 31: l1 -> l7 : 1-y_6^0+x_5^0 <= 0, cost: 1 24: l2 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 25: l2 -> l5 : tmp_8^0'=tmp_8^post2, 1-z_7^0+y_6^0 <= 0, cost: 1 30: l2 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 40: l3 -> l12 : tmp_8^0'=tmp_8^post18, 1-z_7^0+y_6^0 <= 0, cost: 1 48: l3 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ -1+n >= 0), cost: NONTERM 26: l5 -> l6 : 1+tmp_8^0 <= 0, cost: 1 27: l5 -> l6 : -1+tmp_8^0 >= 0, cost: 1 47: l6 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 2 32: l7 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 33: l7 -> l9 : tmp_8^0'=tmp_8^post11, 1-z_7^0+y_6^0 <= 0, cost: 1 37: l7 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 34: l9 -> l10 : 1+tmp_8^0 <= 0, cost: 1 35: l9 -> l10 : -1+tmp_8^0 >= 0, cost: 1 36: l10 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 41: l12 -> l13 : 1+tmp_8^0 <= 0, cost: 1 42: l12 -> l13 : -1+tmp_8^0 >= 0, cost: 1 43: l13 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 45: l14 -> l1 : TRUE, cost: 2 Applied chaining First rule: l2 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 Second rule: l3 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ -1+n >= 0), cost: NONTERM New rule: l2 -> [15] : -1+z_7^0-y_6^0 >= 0, cost: NONTERM Applied chaining First rule: l7 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 Second rule: l3 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ -1+n >= 0), cost: NONTERM New rule: l7 -> [15] : -1+z_7^0-y_6^0 >= 0, cost: NONTERM Applied deletion Removed the following rules: 48 Chained accelerated rules with incoming rules Start location: l14 31: l1 -> l7 : 1-y_6^0+x_5^0 <= 0, cost: 1 24: l2 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 25: l2 -> l5 : tmp_8^0'=tmp_8^post2, 1-z_7^0+y_6^0 <= 0, cost: 1 30: l2 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 49: l2 -> [15] : -1+z_7^0-y_6^0 >= 0, cost: NONTERM 40: l3 -> l12 : tmp_8^0'=tmp_8^post18, 1-z_7^0+y_6^0 <= 0, cost: 1 26: l5 -> l6 : 1+tmp_8^0 <= 0, cost: 1 27: l5 -> l6 : -1+tmp_8^0 >= 0, cost: 1 47: l6 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 2 32: l7 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 33: l7 -> l9 : tmp_8^0'=tmp_8^post11, 1-z_7^0+y_6^0 <= 0, cost: 1 37: l7 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 50: l7 -> [15] : -1+z_7^0-y_6^0 >= 0, cost: NONTERM 34: l9 -> l10 : 1+tmp_8^0 <= 0, cost: 1 35: l9 -> l10 : -1+tmp_8^0 >= 0, cost: 1 36: l10 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 41: l12 -> l13 : 1+tmp_8^0 <= 0, cost: 1 42: l12 -> l13 : -1+tmp_8^0 >= 0, cost: 1 43: l13 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 45: l14 -> l1 : TRUE, cost: 2 Eliminating location l7 by chaining: Applied chaining First rule: l1 -> l7 : 1-y_6^0+x_5^0 <= 0, cost: 1 Second rule: l7 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 New rule: l1 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 Applied chaining First rule: l1 -> l7 : 1-y_6^0+x_5^0 <= 0, cost: 1 Second rule: l7 -> l9 : tmp_8^0'=tmp_8^post11, 1-z_7^0+y_6^0 <= 0, cost: 1 New rule: l1 -> l9 : tmp_8^0'=tmp_8^post11, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 Applied chaining First rule: l1 -> l7 : 1-y_6^0+x_5^0 <= 0, cost: 1 Second rule: l7 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 New rule: l1 -> l1 : x_5^0'=1+x_5^0, (z_7^0-y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 Applied chaining First rule: l1 -> l7 : 1-y_6^0+x_5^0 <= 0, cost: 1 Second rule: l7 -> [15] : -1+z_7^0-y_6^0 >= 0, cost: NONTERM New rule: l1 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied deletion Removed the following rules: 31 32 33 37 50 Eliminating location l12 by chaining: Applied chaining First rule: l3 -> l12 : tmp_8^0'=tmp_8^post18, 1-z_7^0+y_6^0 <= 0, cost: 1 Second rule: l12 -> l13 : 1+tmp_8^0 <= 0, cost: 1 New rule: l3 -> l13 : tmp_8^0'=tmp_8^post18, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 2 Applied chaining First rule: l3 -> l12 : tmp_8^0'=tmp_8^post18, 1-z_7^0+y_6^0 <= 0, cost: 1 Second rule: l12 -> l13 : -1+tmp_8^0 >= 0, cost: 1 New rule: l3 -> l13 : tmp_8^0'=tmp_8^post18, (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0), cost: 2 Applied deletion Removed the following rules: 40 41 42 Eliminating location l5 by chaining: Applied chaining First rule: l2 -> l5 : tmp_8^0'=tmp_8^post2, 1-z_7^0+y_6^0 <= 0, cost: 1 Second rule: l5 -> l6 : 1+tmp_8^0 <= 0, cost: 1 New rule: l2 -> l6 : tmp_8^0'=tmp_8^post2, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post2 <= 0), cost: 2 Applied chaining First rule: l2 -> l5 : tmp_8^0'=tmp_8^post2, 1-z_7^0+y_6^0 <= 0, cost: 1 Second rule: l5 -> l6 : -1+tmp_8^0 >= 0, cost: 1 New rule: l2 -> l6 : tmp_8^0'=tmp_8^post2, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post2 >= 0), cost: 2 Applied deletion Removed the following rules: 25 26 27 Eliminating location l10 by chaining: Applied chaining First rule: l9 -> l10 : 1+tmp_8^0 <= 0, cost: 1 Second rule: l10 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 New rule: l9 -> l2 : y_6^0'=1+y_6^0, 1+tmp_8^0 <= 0, cost: 2 Applied chaining First rule: l9 -> l10 : -1+tmp_8^0 >= 0, cost: 1 Second rule: l10 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 New rule: l9 -> l2 : y_6^0'=1+y_6^0, -1+tmp_8^0 >= 0, cost: 2 Applied deletion Removed the following rules: 34 35 36 Eliminated locations on tree-shaped paths Start location: l14 51: l1 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 52: l1 -> l9 : tmp_8^0'=tmp_8^post11, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 53: l1 -> l1 : x_5^0'=1+x_5^0, (z_7^0-y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 54: l1 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 24: l2 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 30: l2 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 49: l2 -> [15] : -1+z_7^0-y_6^0 >= 0, cost: NONTERM 57: l2 -> l6 : tmp_8^0'=tmp_8^post2, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post2 <= 0), cost: 2 58: l2 -> l6 : tmp_8^0'=tmp_8^post2, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post2 >= 0), cost: 2 55: l3 -> l13 : tmp_8^0'=tmp_8^post18, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 2 56: l3 -> l13 : tmp_8^0'=tmp_8^post18, (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0), cost: 2 47: l6 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 2 59: l9 -> l2 : y_6^0'=1+y_6^0, 1+tmp_8^0 <= 0, cost: 2 60: l9 -> l2 : y_6^0'=1+y_6^0, -1+tmp_8^0 >= 0, cost: 2 43: l13 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 45: l14 -> l1 : TRUE, cost: 2 Applied acceleration Original rule: l1 -> l1 : x_5^0'=1+x_5^0, (z_7^0-y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 New rule: l1 -> l1 : x_5^0'=n0+x_5^0, (n0 >= 0 /\ -z_7^0+y_6^0 >= 0 /\ -n0+y_6^0-x_5^0 >= 0), cost: 2*n0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_elfbGd.txt Applied instantiation Original rule: l1 -> l1 : x_5^0'=n0+x_5^0, (n0 >= 0 /\ -z_7^0+y_6^0 >= 0 /\ -n0+y_6^0-x_5^0 >= 0), cost: 2*n0 New rule: l1 -> l1 : x_5^0'=y_6^0, (0 >= 0 /\ -z_7^0+y_6^0 >= 0 /\ y_6^0-x_5^0 >= 0), cost: 2*y_6^0-2*x_5^0 Applied simplification Original rule: l1 -> l1 : x_5^0'=y_6^0, (0 >= 0 /\ -z_7^0+y_6^0 >= 0 /\ y_6^0-x_5^0 >= 0), cost: 2*y_6^0-2*x_5^0 New rule: l1 -> l1 : x_5^0'=y_6^0, (-z_7^0+y_6^0 >= 0 /\ y_6^0-x_5^0 >= 0), cost: 2*y_6^0-2*x_5^0 Applied deletion Removed the following rules: 53 Accelerated simple loops Start location: l14 51: l1 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 52: l1 -> l9 : tmp_8^0'=tmp_8^post11, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 54: l1 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 62: l1 -> l1 : x_5^0'=y_6^0, (-z_7^0+y_6^0 >= 0 /\ y_6^0-x_5^0 >= 0), cost: 2*y_6^0-2*x_5^0 24: l2 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 30: l2 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 49: l2 -> [15] : -1+z_7^0-y_6^0 >= 0, cost: NONTERM 57: l2 -> l6 : tmp_8^0'=tmp_8^post2, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post2 <= 0), cost: 2 58: l2 -> l6 : tmp_8^0'=tmp_8^post2, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post2 >= 0), cost: 2 55: l3 -> l13 : tmp_8^0'=tmp_8^post18, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 2 56: l3 -> l13 : tmp_8^0'=tmp_8^post18, (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0), cost: 2 47: l6 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 2 59: l9 -> l2 : y_6^0'=1+y_6^0, 1+tmp_8^0 <= 0, cost: 2 60: l9 -> l2 : y_6^0'=1+y_6^0, -1+tmp_8^0 >= 0, cost: 2 43: l13 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 45: l14 -> l1 : TRUE, cost: 2 Applied chaining First rule: l2 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 Second rule: l1 -> l1 : x_5^0'=y_6^0, (-z_7^0+y_6^0 >= 0 /\ y_6^0-x_5^0 >= 0), cost: 2*y_6^0-2*x_5^0 New rule: l2 -> l1 : x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ z_7^0-y_6^0 <= 0), cost: -1+2*y_6^0-2*x_5^0 Applied chaining First rule: l14 -> l1 : TRUE, cost: 2 Second rule: l1 -> l1 : x_5^0'=y_6^0, (-z_7^0+y_6^0 >= 0 /\ y_6^0-x_5^0 >= 0), cost: 2*y_6^0-2*x_5^0 New rule: l14 -> l1 : x_5^0'=y_6^0, (-z_7^0+y_6^0 >= 0 /\ y_6^0-x_5^0 >= 0), cost: 2+2*y_6^0-2*x_5^0 Applied deletion Removed the following rules: 62 Chained accelerated rules with incoming rules Start location: l14 51: l1 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 52: l1 -> l9 : tmp_8^0'=tmp_8^post11, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 54: l1 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 24: l2 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 30: l2 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 49: l2 -> [15] : -1+z_7^0-y_6^0 >= 0, cost: NONTERM 57: l2 -> l6 : tmp_8^0'=tmp_8^post2, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post2 <= 0), cost: 2 58: l2 -> l6 : tmp_8^0'=tmp_8^post2, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post2 >= 0), cost: 2 63: l2 -> l1 : x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ z_7^0-y_6^0 <= 0), cost: -1+2*y_6^0-2*x_5^0 55: l3 -> l13 : tmp_8^0'=tmp_8^post18, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 2 56: l3 -> l13 : tmp_8^0'=tmp_8^post18, (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0), cost: 2 47: l6 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 2 59: l9 -> l2 : y_6^0'=1+y_6^0, 1+tmp_8^0 <= 0, cost: 2 60: l9 -> l2 : y_6^0'=1+y_6^0, -1+tmp_8^0 >= 0, cost: 2 43: l13 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 45: l14 -> l1 : TRUE, cost: 2 64: l14 -> l1 : x_5^0'=y_6^0, (-z_7^0+y_6^0 >= 0 /\ y_6^0-x_5^0 >= 0), cost: 2+2*y_6^0-2*x_5^0 Eliminating location l9 by chaining: Applied chaining First rule: l1 -> l9 : tmp_8^0'=tmp_8^post11, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 Second rule: l9 -> l2 : y_6^0'=1+y_6^0, 1+tmp_8^0 <= 0, cost: 2 New rule: l1 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 Applied chaining First rule: l1 -> l9 : tmp_8^0'=tmp_8^post11, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 Second rule: l9 -> l2 : y_6^0'=1+y_6^0, -1+tmp_8^0 >= 0, cost: 2 New rule: l1 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 Applied deletion Removed the following rules: 52 59 60 Eliminating location l6 by chaining: Applied chaining First rule: l2 -> l6 : tmp_8^0'=tmp_8^post2, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post2 <= 0), cost: 2 Second rule: l6 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 2 New rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post2 <= 0), cost: 4 Applied chaining First rule: l2 -> l6 : tmp_8^0'=tmp_8^post2, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post2 >= 0), cost: 2 Second rule: l6 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 2 New rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post2 >= 0), cost: 4 Applied deletion Removed the following rules: 47 57 58 Eliminating location l13 by chaining: Applied chaining First rule: l3 -> l13 : tmp_8^0'=tmp_8^post18, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 2 Second rule: l13 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 New rule: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 3 Applied chaining First rule: l3 -> l13 : tmp_8^0'=tmp_8^post18, (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0), cost: 2 Second rule: l13 -> l2 : y_6^0'=1+y_6^0, TRUE, cost: 1 New rule: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0), cost: 3 Applied deletion Removed the following rules: 43 55 56 Eliminated locations on tree-shaped paths Start location: l14 51: l1 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 54: l1 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 65: l1 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 66: l1 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 24: l2 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 30: l2 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 49: l2 -> [15] : -1+z_7^0-y_6^0 >= 0, cost: NONTERM 63: l2 -> l1 : x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ z_7^0-y_6^0 <= 0), cost: -1+2*y_6^0-2*x_5^0 67: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post2 <= 0), cost: 4 68: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post2 >= 0), cost: 4 69: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 3 70: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0), cost: 3 45: l14 -> l1 : TRUE, cost: 2 64: l14 -> l1 : x_5^0'=y_6^0, (-z_7^0+y_6^0 >= 0 /\ y_6^0-x_5^0 >= 0), cost: 2+2*y_6^0-2*x_5^0 Applied acceleration Original rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post2 <= 0), cost: 4 New rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=y_6^0+n1, (z_7^0-y_6^0-n1 >= 0 /\ -1-tmp_8^post2 >= 0 /\ -1+n1 >= 0), cost: 4*n1 Sub-proof via acceration calculus written to file:///tmp/tmpnam_iMkcmI.txt Applied instantiation Original rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=y_6^0+n1, (z_7^0-y_6^0-n1 >= 0 /\ -1-tmp_8^post2 >= 0 /\ -1+n1 >= 0), cost: 4*n1 New rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (0 >= 0 /\ -1-tmp_8^post2 >= 0 /\ -1+z_7^0-y_6^0 >= 0), cost: 4*z_7^0-4*y_6^0 Applied acceleration Original rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post2 >= 0), cost: 4 New rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=y_6^0+n2, (-1+n2 >= 0 /\ z_7^0-y_6^0-n2 >= 0 /\ -1+tmp_8^post2 >= 0), cost: 4*n2 Sub-proof via acceration calculus written to file:///tmp/tmpnam_anIpnN.txt Applied instantiation Original rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=y_6^0+n2, (-1+n2 >= 0 /\ z_7^0-y_6^0-n2 >= 0 /\ -1+tmp_8^post2 >= 0), cost: 4*n2 New rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (0 >= 0 /\ -1+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0), cost: 4*z_7^0-4*y_6^0 Applied simplification Original rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (0 >= 0 /\ -1-tmp_8^post2 >= 0 /\ -1+z_7^0-y_6^0 >= 0), cost: 4*z_7^0-4*y_6^0 New rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (1+tmp_8^post2 <= 0 /\ -1+z_7^0-y_6^0 >= 0), cost: 4*z_7^0-4*y_6^0 Applied simplification Original rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (0 >= 0 /\ -1+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0), cost: 4*z_7^0-4*y_6^0 New rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-1+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0), cost: 4*z_7^0-4*y_6^0 Applied deletion Removed the following rules: 67 68 Accelerated simple loops Start location: l14 51: l1 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 54: l1 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 65: l1 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 66: l1 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 24: l2 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 30: l2 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 49: l2 -> [15] : -1+z_7^0-y_6^0 >= 0, cost: NONTERM 63: l2 -> l1 : x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ z_7^0-y_6^0 <= 0), cost: -1+2*y_6^0-2*x_5^0 73: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (1+tmp_8^post2 <= 0 /\ -1+z_7^0-y_6^0 >= 0), cost: 4*z_7^0-4*y_6^0 74: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-1+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0), cost: 4*z_7^0-4*y_6^0 69: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 3 70: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0), cost: 3 45: l14 -> l1 : TRUE, cost: 2 64: l14 -> l1 : x_5^0'=y_6^0, (-z_7^0+y_6^0 >= 0 /\ y_6^0-x_5^0 >= 0), cost: 2+2*y_6^0-2*x_5^0 Applied chaining First rule: l1 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 Second rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (1+tmp_8^post2 <= 0 /\ -1+z_7^0-y_6^0 >= 0), cost: 4*z_7^0-4*y_6^0 New rule: l1 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post2 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4*z_7^0-4*y_6^0 Applied chaining First rule: l1 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 Second rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (1+tmp_8^post2 <= 0 /\ -1+z_7^0-y_6^0 >= 0), cost: 4*z_7^0-4*y_6^0 New rule: l1 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post2 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4*z_7^0-4*y_6^0 Applied chaining First rule: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 3 Second rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (1+tmp_8^post2 <= 0 /\ -1+z_7^0-y_6^0 >= 0), cost: 4*z_7^0-4*y_6^0 New rule: l3 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post2 <= 0), cost: -1+4*z_7^0-4*y_6^0 Applied chaining First rule: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0), cost: 3 Second rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (1+tmp_8^post2 <= 0 /\ -1+z_7^0-y_6^0 >= 0), cost: 4*z_7^0-4*y_6^0 New rule: l3 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post2 <= 0), cost: -1+4*z_7^0-4*y_6^0 Applied chaining First rule: l1 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 Second rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-1+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0), cost: 4*z_7^0-4*y_6^0 New rule: l1 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4*z_7^0-4*y_6^0 Applied chaining First rule: l1 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 Second rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-1+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0), cost: 4*z_7^0-4*y_6^0 New rule: l1 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4*z_7^0-4*y_6^0 Applied chaining First rule: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 3 Second rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-1+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0), cost: 4*z_7^0-4*y_6^0 New rule: l3 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0), cost: -1+4*z_7^0-4*y_6^0 Applied chaining First rule: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0), cost: 3 Second rule: l2 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-1+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0), cost: 4*z_7^0-4*y_6^0 New rule: l3 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0), cost: -1+4*z_7^0-4*y_6^0 Applied deletion Removed the following rules: 73 74 Chained accelerated rules with incoming rules Start location: l14 51: l1 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 54: l1 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 65: l1 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 66: l1 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 75: l1 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post2 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4*z_7^0-4*y_6^0 77: l1 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4*z_7^0-4*y_6^0 24: l2 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 30: l2 -> l1 : x_5^0'=1+x_5^0, z_7^0-y_6^0 <= 0, cost: 1 49: l2 -> [15] : -1+z_7^0-y_6^0 >= 0, cost: NONTERM 63: l2 -> l1 : x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ z_7^0-y_6^0 <= 0), cost: -1+2*y_6^0-2*x_5^0 69: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 3 70: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0), cost: 3 76: l3 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post2 <= 0), cost: -1+4*z_7^0-4*y_6^0 78: l3 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0), cost: -1+4*z_7^0-4*y_6^0 45: l14 -> l1 : TRUE, cost: 2 64: l14 -> l1 : x_5^0'=y_6^0, (-z_7^0+y_6^0 >= 0 /\ y_6^0-x_5^0 >= 0), cost: 2+2*y_6^0-2*x_5^0 Eliminated location l1 Start location: l14 24: l2 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 49: l2 -> [15] : -1+z_7^0-y_6^0 >= 0, cost: NONTERM 85: l2 -> [18] : (-1+y_6^0-x_5^0 >= 0 /\ z_7^0-y_6^0 <= 0), cost: -1+2*y_6^0-2*x_5^0 69: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 3 70: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0), cost: 3 76: l3 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post2 <= 0), cost: -1+4*z_7^0-4*y_6^0 78: l3 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0), cost: -1+4*z_7^0-4*y_6^0 79: l14 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 80: l14 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 81: l14 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 6 82: l14 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 6 83: l14 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post2 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2+4*z_7^0-4*y_6^0 84: l14 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2+4*z_7^0-4*y_6^0 86: l14 -> [18] : (-z_7^0+y_6^0 >= 0 /\ y_6^0-x_5^0 >= 0), cost: 2+2*y_6^0-2*x_5^0 Applied pruning (of leafs and parallel rules): Start location: l14 24: l2 -> l3 : tmp_8^0'=0, 1-z_7^0+y_6^0 <= 0, cost: 1 49: l2 -> [15] : -1+z_7^0-y_6^0 >= 0, cost: NONTERM 69: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 3 70: l3 -> l2 : tmp_8^0'=tmp_8^post18, y_6^0'=1+y_6^0, (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0), cost: 3 76: l3 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post2 <= 0), cost: -1+4*z_7^0-4*y_6^0 78: l3 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0), cost: -1+4*z_7^0-4*y_6^0 79: l14 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 80: l14 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 81: l14 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 6 82: l14 -> l2 : tmp_8^0'=tmp_8^post11, y_6^0'=1+y_6^0, (1-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 6 83: l14 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post2 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2+4*z_7^0-4*y_6^0 84: l14 -> l2 : tmp_8^0'=tmp_8^post2, y_6^0'=z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2+4*z_7^0-4*y_6^0 Eliminated location l2 Start location: l14 87: l3 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 4 88: l3 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0), cost: NONTERM 89: l3 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (-1+tmp_8^post18 >= 0 /\ 2-z_7^0+y_6^0 <= 0), cost: 4 90: l3 -> [15] : (-1+tmp_8^post18 >= 0 /\ -2+z_7^0-y_6^0 >= 0), cost: NONTERM 95: l3 -> [19] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post2 <= 0), cost: -1+4*z_7^0-4*y_6^0 96: l3 -> [19] : (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0), cost: -1+4*z_7^0-4*y_6^0 79: l14 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 80: l14 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 91: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 92: l14 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 93: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 94: l14 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 97: l14 -> [19] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post2 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2+4*z_7^0-4*y_6^0 98: l14 -> [19] : (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post2 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2+4*z_7^0-4*y_6^0 Applied pruning (of leafs and parallel rules): Start location: l14 87: l3 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 4 88: l3 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0), cost: NONTERM 89: l3 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (-1+tmp_8^post18 >= 0 /\ 2-z_7^0+y_6^0 <= 0), cost: 4 90: l3 -> [15] : (-1+tmp_8^post18 >= 0 /\ -2+z_7^0-y_6^0 >= 0), cost: NONTERM 79: l14 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 80: l14 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 91: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 92: l14 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 93: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 94: l14 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied simplification Original rule: l3 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post18 <= 0), cost: 4 New rule: l3 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, 2-z_7^0+y_6^0 <= 0, cost: 4 Applied simplification Original rule: l3 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (-1+tmp_8^post18 >= 0 /\ 2-z_7^0+y_6^0 <= 0), cost: 4 New rule: l3 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, 2-z_7^0+y_6^0 <= 0, cost: 4 Simplified simple loops Start location: l14 88: l3 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0), cost: NONTERM 90: l3 -> [15] : (-1+tmp_8^post18 >= 0 /\ -2+z_7^0-y_6^0 >= 0), cost: NONTERM 99: l3 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, 2-z_7^0+y_6^0 <= 0, cost: 4 79: l14 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 80: l14 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 91: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 92: l14 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 93: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 94: l14 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied acceleration Original rule: l3 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, 2-z_7^0+y_6^0 <= 0, cost: 4 New rule: l3 -> l3 : tmp_8^0'=0, y_6^0'=n3+y_6^0, (-1+n3 >= 0 /\ -1+z_7^0-n3-y_6^0 >= 0), cost: 4*n3 Sub-proof via acceration calculus written to file:///tmp/tmpnam_peDfgj.txt Applied instantiation Original rule: l3 -> l3 : tmp_8^0'=0, y_6^0'=n3+y_6^0, (-1+n3 >= 0 /\ -1+z_7^0-n3-y_6^0 >= 0), cost: 4*n3 New rule: l3 -> l3 : tmp_8^0'=0, y_6^0'=-1+z_7^0, (0 >= 0 /\ -2+z_7^0-y_6^0 >= 0), cost: -4+4*z_7^0-4*y_6^0 Applied simplification Original rule: l3 -> l3 : tmp_8^0'=0, y_6^0'=-1+z_7^0, (0 >= 0 /\ -2+z_7^0-y_6^0 >= 0), cost: -4+4*z_7^0-4*y_6^0 New rule: l3 -> l3 : tmp_8^0'=0, y_6^0'=-1+z_7^0, -2+z_7^0-y_6^0 >= 0, cost: -4+4*z_7^0-4*y_6^0 Applied deletion Removed the following rules: 99 Accelerated simple loops Start location: l14 88: l3 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0), cost: NONTERM 90: l3 -> [15] : (-1+tmp_8^post18 >= 0 /\ -2+z_7^0-y_6^0 >= 0), cost: NONTERM 101: l3 -> l3 : tmp_8^0'=0, y_6^0'=-1+z_7^0, -2+z_7^0-y_6^0 >= 0, cost: -4+4*z_7^0-4*y_6^0 79: l14 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 80: l14 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 91: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 92: l14 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 93: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 94: l14 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied chaining First rule: l14 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 Second rule: l3 -> l3 : tmp_8^0'=0, y_6^0'=-1+z_7^0, -2+z_7^0-y_6^0 >= 0, cost: -4+4*z_7^0-4*y_6^0 New rule: l14 -> l3 : tmp_8^0'=0, y_6^0'=-1+z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4*z_7^0-4*y_6^0 Applied chaining First rule: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 Second rule: l3 -> l3 : tmp_8^0'=0, y_6^0'=-1+z_7^0, -2+z_7^0-y_6^0 >= 0, cost: -4+4*z_7^0-4*y_6^0 New rule: l14 -> l3 : tmp_8^0'=0, y_6^0'=-1+z_7^0, (-3+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: -1+4*z_7^0-4*y_6^0 Applied chaining First rule: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 Second rule: l3 -> l3 : tmp_8^0'=0, y_6^0'=-1+z_7^0, -2+z_7^0-y_6^0 >= 0, cost: -4+4*z_7^0-4*y_6^0 New rule: l14 -> l3 : tmp_8^0'=0, y_6^0'=-1+z_7^0, (-3+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: -1+4*z_7^0-4*y_6^0 Applied deletion Removed the following rules: 101 Chained accelerated rules with incoming rules Start location: l14 88: l3 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0), cost: NONTERM 90: l3 -> [15] : (-1+tmp_8^post18 >= 0 /\ -2+z_7^0-y_6^0 >= 0), cost: NONTERM 79: l14 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 80: l14 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 91: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 92: l14 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 93: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 94: l14 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 102: l14 -> l3 : tmp_8^0'=0, y_6^0'=-1+z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4*z_7^0-4*y_6^0 103: l14 -> l3 : tmp_8^0'=0, y_6^0'=-1+z_7^0, (-3+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: -1+4*z_7^0-4*y_6^0 Eliminating location l3 by chaining: Applied chaining First rule: l14 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 Second rule: l3 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0), cost: NONTERM New rule: l14 -> [15] : (1-z_7^0+y_6^0 <= 0 /\ -2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied simplification Original rule: l14 -> [15] : (1-z_7^0+y_6^0 <= 0 /\ -2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM New rule: l14 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied chaining First rule: l14 -> l3 : tmp_8^0'=0, (1-z_7^0+y_6^0 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 Second rule: l3 -> [15] : (-1+tmp_8^post18 >= 0 /\ -2+z_7^0-y_6^0 >= 0), cost: NONTERM New rule: l14 -> [15] : (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0 /\ -2+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied simplification Original rule: l14 -> [15] : (-1+tmp_8^post18 >= 0 /\ 1-z_7^0+y_6^0 <= 0 /\ -2+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM New rule: l14 -> [15] : (-1+tmp_8^post18 >= 0 /\ -2+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied chaining First rule: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 Second rule: l3 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0), cost: NONTERM New rule: l14 -> [15] : (2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ -3+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied simplification Original rule: l14 -> [15] : (2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ -3+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM New rule: l14 -> [15] : (1+tmp_8^post11 <= 0 /\ -3+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied chaining First rule: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 Second rule: l3 -> [15] : (-1+tmp_8^post18 >= 0 /\ -2+z_7^0-y_6^0 >= 0), cost: NONTERM New rule: l14 -> [15] : (-1+tmp_8^post18 >= 0 /\ 2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ -3+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied simplification Original rule: l14 -> [15] : (-1+tmp_8^post18 >= 0 /\ 2-z_7^0+y_6^0 <= 0 /\ 1+tmp_8^post11 <= 0 /\ -3+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM New rule: l14 -> [15] : (-1+tmp_8^post18 >= 0 /\ 1+tmp_8^post11 <= 0 /\ -3+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied chaining First rule: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 Second rule: l3 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0), cost: NONTERM New rule: l14 -> [15] : (2-z_7^0+y_6^0 <= 0 /\ -3+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post11 >= 0 /\ 1+tmp_8^post18 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied simplification Original rule: l14 -> [15] : (2-z_7^0+y_6^0 <= 0 /\ -3+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post11 >= 0 /\ 1+tmp_8^post18 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM New rule: l14 -> [15] : (-3+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post11 >= 0 /\ 1+tmp_8^post18 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied chaining First rule: l14 -> l3 : tmp_8^0'=0, y_6^0'=1+y_6^0, (2-z_7^0+y_6^0 <= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 7 Second rule: l3 -> [15] : (-1+tmp_8^post18 >= 0 /\ -2+z_7^0-y_6^0 >= 0), cost: NONTERM New rule: l14 -> [15] : (-1+tmp_8^post18 >= 0 /\ 2-z_7^0+y_6^0 <= 0 /\ -3+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied simplification Original rule: l14 -> [15] : (-1+tmp_8^post18 >= 0 /\ 2-z_7^0+y_6^0 <= 0 /\ -3+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM New rule: l14 -> [15] : (-1+tmp_8^post18 >= 0 /\ -3+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied partial deletion Original rule: l14 -> l3 : tmp_8^0'=0, y_6^0'=-1+z_7^0, (-2+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4*z_7^0-4*y_6^0 New rule: l14 -> [21] : (-2+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4*z_7^0-4*y_6^0 Applied partial deletion Original rule: l14 -> l3 : tmp_8^0'=0, y_6^0'=-1+z_7^0, (-3+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: -1+4*z_7^0-4*y_6^0 New rule: l14 -> [21] : (-3+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: -1+4*z_7^0-4*y_6^0 Applied deletion Removed the following rules: 79 88 90 91 93 102 103 Eliminated locations on tree-shaped paths Start location: l14 80: l14 -> [15] : (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 92: l14 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post11 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 94: l14 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 104: l14 -> [15] : (-2+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 105: l14 -> [15] : (-1+tmp_8^post18 >= 0 /\ -2+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 106: l14 -> [15] : (1+tmp_8^post11 <= 0 /\ -3+z_7^0-y_6^0 >= 0 /\ 1+tmp_8^post18 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 107: l14 -> [15] : (-1+tmp_8^post18 >= 0 /\ 1+tmp_8^post11 <= 0 /\ -3+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 108: l14 -> [15] : (-3+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post11 >= 0 /\ 1+tmp_8^post18 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 109: l14 -> [15] : (-1+tmp_8^post18 >= 0 /\ -3+z_7^0-y_6^0 >= 0 /\ -1+tmp_8^post11 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM 110: l14 -> [21] : (-2+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4*z_7^0-4*y_6^0 111: l14 -> [21] : (-3+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: -1+4*z_7^0-4*y_6^0 Computing asymptotic complexity Proved nontermination of rule 80 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (-1+z_7^0-y_6^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0)