NO Initial ITS Start location: l13 0: l0 -> l1 : tmp_7^0'=tmp_7^post0, y_6^0'=y_6^post0, Result_4^0'=Result_4^post0, x_5^0'=x_5^post0, (y_6^0-y_6^post0 == 0 /\ tmp_7^0-tmp_7^post0 == 0 /\ x_5^0-x_5^post0 == 0 /\ Result_4^0-Result_4^post0 == 0), cost: 1 1: l1 -> l3 : tmp_7^0'=tmp_7^post1, y_6^0'=y_6^post1, Result_4^0'=Result_4^post1, x_5^0'=x_5^post1, (Result_4^0-Result_4^post1 == 0 /\ y_6^0-y_6^post1 == 0 /\ y_6^0-x_5^0 <= 0 /\ tmp_7^0-tmp_7^post1 == 0 /\ -x_5^post1+x_5^0 == 0), cost: 1 5: l1 -> l5 : tmp_7^0'=tmp_7^post5, y_6^0'=y_6^post5, Result_4^0'=Result_4^post5, x_5^0'=x_5^post5, (0 == 0 /\ y_6^0-y_6^post5 == 0 /\ -tmp_7^post5 <= 0 /\ tmp_7^post5 <= 0 /\ x_5^0-x_5^post5 == 0 /\ y_6^0-x_5^0 <= 0 /\ Result_4^0-Result_4^post5 == 0 /\ -y_6^0+x_5^0 <= 0), cost: 1 7: l1 -> l7 : tmp_7^0'=tmp_7^post7, y_6^0'=y_6^post7, Result_4^0'=Result_4^post7, x_5^0'=x_5^post7, (0 == 0 /\ -x_5^post7+x_5^0 == 0 /\ y_6^0-x_5^0 <= 0 /\ -Result_4^post7+Result_4^0 == 0 /\ -y_6^post7+y_6^0 == 0 /\ -y_6^0+x_5^0 <= 0), cost: 1 12: l1 -> l9 : tmp_7^0'=tmp_7^post12, y_6^0'=y_6^post12, Result_4^0'=Result_4^post12, x_5^0'=x_5^post12, (0 == 0 /\ -y_6^post12+y_6^0 == 0 /\ -tmp_7^post12 <= 0 /\ -Result_4^post12+Result_4^0 == 0 /\ -x_5^post12+x_5^0 == 0 /\ 1-y_6^0+x_5^0 <= 0 /\ tmp_7^post12 <= 0), cost: 1 14: l1 -> l11 : tmp_7^0'=tmp_7^post14, y_6^0'=y_6^post14, Result_4^0'=Result_4^post14, x_5^0'=x_5^post14, (0 == 0 /\ Result_4^0-Result_4^post14 == 0 /\ -x_5^post14+x_5^0 == 0 /\ y_6^0-y_6^post14 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 1 2: l3 -> l4 : tmp_7^0'=tmp_7^post2, y_6^0'=y_6^post2, Result_4^0'=Result_4^post2, x_5^0'=x_5^post2, (-y_6^post2+y_6^0 == 0 /\ tmp_7^0-tmp_7^post2 == 0 /\ -Result_4^post2+Result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 1 3: l3 -> l4 : tmp_7^0'=tmp_7^post3, y_6^0'=y_6^post3, Result_4^0'=Result_4^post3, x_5^0'=x_5^post3, (-Result_4^post3+Result_4^0 == 0 /\ -x_5^post3+x_5^0 == 0 /\ -y_6^post3+y_6^0 == 0 /\ tmp_7^0-tmp_7^post3 == 0 /\ 1+y_6^0-x_5^0 <= 0), cost: 1 4: l4 -> l2 : tmp_7^0'=tmp_7^post4, y_6^0'=y_6^post4, Result_4^0'=Result_4^post4, x_5^0'=x_5^post4, (0 == 0 /\ -x_5^post4+x_5^0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ -tmp_7^post4+tmp_7^0 == 0), cost: 1 6: l5 -> l1 : tmp_7^0'=tmp_7^post6, y_6^0'=y_6^post6, Result_4^0'=Result_4^post6, x_5^0'=x_5^post6, (tmp_7^0-tmp_7^post6 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ y_6^0-y_6^post6 == 0 /\ -x_5^post6+x_5^0 == 0), cost: 1 8: l7 -> l8 : tmp_7^0'=tmp_7^post8, y_6^0'=y_6^post8, Result_4^0'=Result_4^post8, x_5^0'=x_5^post8, (x_5^0-x_5^post8 == 0 /\ 1+tmp_7^0 <= 0 /\ -Result_4^post8+Result_4^0 == 0 /\ -tmp_7^post8+tmp_7^0 == 0 /\ y_6^0-y_6^post8 == 0), cost: 1 9: l7 -> l8 : tmp_7^0'=tmp_7^post9, y_6^0'=y_6^post9, Result_4^0'=Result_4^post9, x_5^0'=x_5^post9, (-x_5^post9+x_5^0 == 0 /\ y_6^0-y_6^post9 == 0 /\ tmp_7^0-tmp_7^post9 == 0 /\ 1-tmp_7^0 <= 0 /\ Result_4^0-Result_4^post9 == 0), cost: 1 10: l8 -> l6 : tmp_7^0'=tmp_7^post10, y_6^0'=y_6^post10, Result_4^0'=Result_4^post10, x_5^0'=x_5^post10, (tmp_7^0-tmp_7^post10 == 0 /\ Result_4^0-Result_4^post10 == 0 /\ -1+x_5^post10-x_5^0 == 0 /\ y_6^0-y_6^post10 == 0), cost: 1 11: l6 -> l1 : tmp_7^0'=tmp_7^post11, y_6^0'=y_6^post11, Result_4^0'=Result_4^post11, x_5^0'=x_5^post11, (-y_6^post11+y_6^0 == 0 /\ tmp_7^0-tmp_7^post11 == 0 /\ -Result_4^post11+Result_4^0 == 0 /\ -x_5^post11+x_5^0 == 0), cost: 1 13: l9 -> l1 : tmp_7^0'=tmp_7^post13, y_6^0'=y_6^post13, Result_4^0'=Result_4^post13, x_5^0'=x_5^post13, (tmp_7^0-tmp_7^post13 == 0 /\ x_5^0-x_5^post13 == 0 /\ Result_4^0-Result_4^post13 == 0 /\ y_6^0-y_6^post13 == 0), cost: 1 15: l11 -> l12 : tmp_7^0'=tmp_7^post15, y_6^0'=y_6^post15, Result_4^0'=Result_4^post15, x_5^0'=x_5^post15, (-y_6^post15+y_6^0 == 0 /\ -Result_4^post15+Result_4^0 == 0 /\ 1+tmp_7^0 <= 0 /\ -x_5^post15+x_5^0 == 0 /\ tmp_7^0-tmp_7^post15 == 0), cost: 1 16: l11 -> l12 : tmp_7^0'=tmp_7^post16, y_6^0'=y_6^post16, Result_4^0'=Result_4^post16, x_5^0'=x_5^post16, (-Result_4^post16+Result_4^0 == 0 /\ -y_6^post16+y_6^0 == 0 /\ -tmp_7^post16+tmp_7^0 == 0 /\ -x_5^post16+x_5^0 == 0 /\ 1-tmp_7^0 <= 0), cost: 1 17: l12 -> l10 : tmp_7^0'=tmp_7^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 /\ tmp_7^0-tmp_7^post17 == 0 /\ -1-x_5^0+x_5^post17 == 0 /\ Result_4^0-Result_4^post17 == 0), cost: 1 18: l10 -> l1 : tmp_7^0'=tmp_7^post18, y_6^0'=y_6^post18, Result_4^0'=Result_4^post18, x_5^0'=x_5^post18, (Result_4^0-Result_4^post18 == 0 /\ y_6^0-y_6^post18 == 0 /\ tmp_7^0-tmp_7^post18 == 0 /\ -x_5^post18+x_5^0 == 0), cost: 1 19: l13 -> l0 : tmp_7^0'=tmp_7^post19, y_6^0'=y_6^post19, Result_4^0'=Result_4^post19, x_5^0'=x_5^post19, (tmp_7^0-tmp_7^post19 == 0 /\ Result_4^0-Result_4^post19 == 0 /\ -x_5^post19+x_5^0 == 0 /\ y_6^0-y_6^post19 == 0), cost: 1 Removed unreachable rules and leafs Start location: l13 0: l0 -> l1 : tmp_7^0'=tmp_7^post0, y_6^0'=y_6^post0, Result_4^0'=Result_4^post0, x_5^0'=x_5^post0, (y_6^0-y_6^post0 == 0 /\ tmp_7^0-tmp_7^post0 == 0 /\ x_5^0-x_5^post0 == 0 /\ Result_4^0-Result_4^post0 == 0), cost: 1 5: l1 -> l5 : tmp_7^0'=tmp_7^post5, y_6^0'=y_6^post5, Result_4^0'=Result_4^post5, x_5^0'=x_5^post5, (0 == 0 /\ y_6^0-y_6^post5 == 0 /\ -tmp_7^post5 <= 0 /\ tmp_7^post5 <= 0 /\ x_5^0-x_5^post5 == 0 /\ y_6^0-x_5^0 <= 0 /\ Result_4^0-Result_4^post5 == 0 /\ -y_6^0+x_5^0 <= 0), cost: 1 7: l1 -> l7 : tmp_7^0'=tmp_7^post7, y_6^0'=y_6^post7, Result_4^0'=Result_4^post7, x_5^0'=x_5^post7, (0 == 0 /\ -x_5^post7+x_5^0 == 0 /\ y_6^0-x_5^0 <= 0 /\ -Result_4^post7+Result_4^0 == 0 /\ -y_6^post7+y_6^0 == 0 /\ -y_6^0+x_5^0 <= 0), cost: 1 12: l1 -> l9 : tmp_7^0'=tmp_7^post12, y_6^0'=y_6^post12, Result_4^0'=Result_4^post12, x_5^0'=x_5^post12, (0 == 0 /\ -y_6^post12+y_6^0 == 0 /\ -tmp_7^post12 <= 0 /\ -Result_4^post12+Result_4^0 == 0 /\ -x_5^post12+x_5^0 == 0 /\ 1-y_6^0+x_5^0 <= 0 /\ tmp_7^post12 <= 0), cost: 1 14: l1 -> l11 : tmp_7^0'=tmp_7^post14, y_6^0'=y_6^post14, Result_4^0'=Result_4^post14, x_5^0'=x_5^post14, (0 == 0 /\ Result_4^0-Result_4^post14 == 0 /\ -x_5^post14+x_5^0 == 0 /\ y_6^0-y_6^post14 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 1 6: l5 -> l1 : tmp_7^0'=tmp_7^post6, y_6^0'=y_6^post6, Result_4^0'=Result_4^post6, x_5^0'=x_5^post6, (tmp_7^0-tmp_7^post6 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ y_6^0-y_6^post6 == 0 /\ -x_5^post6+x_5^0 == 0), cost: 1 8: l7 -> l8 : tmp_7^0'=tmp_7^post8, y_6^0'=y_6^post8, Result_4^0'=Result_4^post8, x_5^0'=x_5^post8, (x_5^0-x_5^post8 == 0 /\ 1+tmp_7^0 <= 0 /\ -Result_4^post8+Result_4^0 == 0 /\ -tmp_7^post8+tmp_7^0 == 0 /\ y_6^0-y_6^post8 == 0), cost: 1 9: l7 -> l8 : tmp_7^0'=tmp_7^post9, y_6^0'=y_6^post9, Result_4^0'=Result_4^post9, x_5^0'=x_5^post9, (-x_5^post9+x_5^0 == 0 /\ y_6^0-y_6^post9 == 0 /\ tmp_7^0-tmp_7^post9 == 0 /\ 1-tmp_7^0 <= 0 /\ Result_4^0-Result_4^post9 == 0), cost: 1 10: l8 -> l6 : tmp_7^0'=tmp_7^post10, y_6^0'=y_6^post10, Result_4^0'=Result_4^post10, x_5^0'=x_5^post10, (tmp_7^0-tmp_7^post10 == 0 /\ Result_4^0-Result_4^post10 == 0 /\ -1+x_5^post10-x_5^0 == 0 /\ y_6^0-y_6^post10 == 0), cost: 1 11: l6 -> l1 : tmp_7^0'=tmp_7^post11, y_6^0'=y_6^post11, Result_4^0'=Result_4^post11, x_5^0'=x_5^post11, (-y_6^post11+y_6^0 == 0 /\ tmp_7^0-tmp_7^post11 == 0 /\ -Result_4^post11+Result_4^0 == 0 /\ -x_5^post11+x_5^0 == 0), cost: 1 13: l9 -> l1 : tmp_7^0'=tmp_7^post13, y_6^0'=y_6^post13, Result_4^0'=Result_4^post13, x_5^0'=x_5^post13, (tmp_7^0-tmp_7^post13 == 0 /\ x_5^0-x_5^post13 == 0 /\ Result_4^0-Result_4^post13 == 0 /\ y_6^0-y_6^post13 == 0), cost: 1 15: l11 -> l12 : tmp_7^0'=tmp_7^post15, y_6^0'=y_6^post15, Result_4^0'=Result_4^post15, x_5^0'=x_5^post15, (-y_6^post15+y_6^0 == 0 /\ -Result_4^post15+Result_4^0 == 0 /\ 1+tmp_7^0 <= 0 /\ -x_5^post15+x_5^0 == 0 /\ tmp_7^0-tmp_7^post15 == 0), cost: 1 16: l11 -> l12 : tmp_7^0'=tmp_7^post16, y_6^0'=y_6^post16, Result_4^0'=Result_4^post16, x_5^0'=x_5^post16, (-Result_4^post16+Result_4^0 == 0 /\ -y_6^post16+y_6^0 == 0 /\ -tmp_7^post16+tmp_7^0 == 0 /\ -x_5^post16+x_5^0 == 0 /\ 1-tmp_7^0 <= 0), cost: 1 17: l12 -> l10 : tmp_7^0'=tmp_7^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 /\ tmp_7^0-tmp_7^post17 == 0 /\ -1-x_5^0+x_5^post17 == 0 /\ Result_4^0-Result_4^post17 == 0), cost: 1 18: l10 -> l1 : tmp_7^0'=tmp_7^post18, y_6^0'=y_6^post18, Result_4^0'=Result_4^post18, x_5^0'=x_5^post18, (Result_4^0-Result_4^post18 == 0 /\ y_6^0-y_6^post18 == 0 /\ tmp_7^0-tmp_7^post18 == 0 /\ -x_5^post18+x_5^0 == 0), cost: 1 19: l13 -> l0 : tmp_7^0'=tmp_7^post19, y_6^0'=y_6^post19, Result_4^0'=Result_4^post19, x_5^0'=x_5^post19, (tmp_7^0-tmp_7^post19 == 0 /\ Result_4^0-Result_4^post19 == 0 /\ -x_5^post19+x_5^0 == 0 /\ y_6^0-y_6^post19 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : tmp_7^0'=tmp_7^post0, y_6^0'=y_6^post0, Result_4^0'=Result_4^post0, x_5^0'=x_5^post0, (y_6^0-y_6^post0 == 0 /\ tmp_7^0-tmp_7^post0 == 0 /\ x_5^0-x_5^post0 == 0 /\ Result_4^0-Result_4^post0 == 0), cost: 1 New rule: l0 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l5 : tmp_7^0'=tmp_7^post5, y_6^0'=y_6^post5, Result_4^0'=Result_4^post5, x_5^0'=x_5^post5, (0 == 0 /\ y_6^0-y_6^post5 == 0 /\ -tmp_7^post5 <= 0 /\ tmp_7^post5 <= 0 /\ x_5^0-x_5^post5 == 0 /\ y_6^0-x_5^0 <= 0 /\ Result_4^0-Result_4^post5 == 0 /\ -y_6^0+x_5^0 <= 0), cost: 1 New rule: l1 -> l5 : tmp_7^0'=0, y_6^0-x_5^0 == 0, cost: 1 Applied preprocessing Original rule: l5 -> l1 : tmp_7^0'=tmp_7^post6, y_6^0'=y_6^post6, Result_4^0'=Result_4^post6, x_5^0'=x_5^post6, (tmp_7^0-tmp_7^post6 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ y_6^0-y_6^post6 == 0 /\ -x_5^post6+x_5^0 == 0), cost: 1 New rule: l5 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l7 : tmp_7^0'=tmp_7^post7, y_6^0'=y_6^post7, Result_4^0'=Result_4^post7, x_5^0'=x_5^post7, (0 == 0 /\ -x_5^post7+x_5^0 == 0 /\ y_6^0-x_5^0 <= 0 /\ -Result_4^post7+Result_4^0 == 0 /\ -y_6^post7+y_6^0 == 0 /\ -y_6^0+x_5^0 <= 0), cost: 1 New rule: l1 -> l7 : tmp_7^0'=tmp_7^post7, y_6^0-x_5^0 == 0, cost: 1 Applied preprocessing Original rule: l7 -> l8 : tmp_7^0'=tmp_7^post8, y_6^0'=y_6^post8, Result_4^0'=Result_4^post8, x_5^0'=x_5^post8, (x_5^0-x_5^post8 == 0 /\ 1+tmp_7^0 <= 0 /\ -Result_4^post8+Result_4^0 == 0 /\ -tmp_7^post8+tmp_7^0 == 0 /\ y_6^0-y_6^post8 == 0), cost: 1 New rule: l7 -> l8 : 1+tmp_7^0 <= 0, cost: 1 Applied preprocessing Original rule: l7 -> l8 : tmp_7^0'=tmp_7^post9, y_6^0'=y_6^post9, Result_4^0'=Result_4^post9, x_5^0'=x_5^post9, (-x_5^post9+x_5^0 == 0 /\ y_6^0-y_6^post9 == 0 /\ tmp_7^0-tmp_7^post9 == 0 /\ 1-tmp_7^0 <= 0 /\ Result_4^0-Result_4^post9 == 0), cost: 1 New rule: l7 -> l8 : -1+tmp_7^0 >= 0, cost: 1 Applied preprocessing Original rule: l8 -> l6 : tmp_7^0'=tmp_7^post10, y_6^0'=y_6^post10, Result_4^0'=Result_4^post10, x_5^0'=x_5^post10, (tmp_7^0-tmp_7^post10 == 0 /\ Result_4^0-Result_4^post10 == 0 /\ -1+x_5^post10-x_5^0 == 0 /\ y_6^0-y_6^post10 == 0), cost: 1 New rule: l8 -> l6 : x_5^0'=1+x_5^0, TRUE, cost: 1 Applied preprocessing Original rule: l6 -> l1 : tmp_7^0'=tmp_7^post11, y_6^0'=y_6^post11, Result_4^0'=Result_4^post11, x_5^0'=x_5^post11, (-y_6^post11+y_6^0 == 0 /\ tmp_7^0-tmp_7^post11 == 0 /\ -Result_4^post11+Result_4^0 == 0 /\ -x_5^post11+x_5^0 == 0), cost: 1 New rule: l6 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l9 : tmp_7^0'=tmp_7^post12, y_6^0'=y_6^post12, Result_4^0'=Result_4^post12, x_5^0'=x_5^post12, (0 == 0 /\ -y_6^post12+y_6^0 == 0 /\ -tmp_7^post12 <= 0 /\ -Result_4^post12+Result_4^0 == 0 /\ -x_5^post12+x_5^0 == 0 /\ 1-y_6^0+x_5^0 <= 0 /\ tmp_7^post12 <= 0), cost: 1 New rule: l1 -> l9 : tmp_7^0'=0, 1-y_6^0+x_5^0 <= 0, cost: 1 Applied preprocessing Original rule: l9 -> l1 : tmp_7^0'=tmp_7^post13, y_6^0'=y_6^post13, Result_4^0'=Result_4^post13, x_5^0'=x_5^post13, (tmp_7^0-tmp_7^post13 == 0 /\ x_5^0-x_5^post13 == 0 /\ Result_4^0-Result_4^post13 == 0 /\ y_6^0-y_6^post13 == 0), cost: 1 New rule: l9 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l11 : tmp_7^0'=tmp_7^post14, y_6^0'=y_6^post14, Result_4^0'=Result_4^post14, x_5^0'=x_5^post14, (0 == 0 /\ Result_4^0-Result_4^post14 == 0 /\ -x_5^post14+x_5^0 == 0 /\ y_6^0-y_6^post14 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 1 New rule: l1 -> l11 : tmp_7^0'=tmp_7^post14, 1-y_6^0+x_5^0 <= 0, cost: 1 Applied preprocessing Original rule: l11 -> l12 : tmp_7^0'=tmp_7^post15, y_6^0'=y_6^post15, Result_4^0'=Result_4^post15, x_5^0'=x_5^post15, (-y_6^post15+y_6^0 == 0 /\ -Result_4^post15+Result_4^0 == 0 /\ 1+tmp_7^0 <= 0 /\ -x_5^post15+x_5^0 == 0 /\ tmp_7^0-tmp_7^post15 == 0), cost: 1 New rule: l11 -> l12 : 1+tmp_7^0 <= 0, cost: 1 Applied preprocessing Original rule: l11 -> l12 : tmp_7^0'=tmp_7^post16, y_6^0'=y_6^post16, Result_4^0'=Result_4^post16, x_5^0'=x_5^post16, (-Result_4^post16+Result_4^0 == 0 /\ -y_6^post16+y_6^0 == 0 /\ -tmp_7^post16+tmp_7^0 == 0 /\ -x_5^post16+x_5^0 == 0 /\ 1-tmp_7^0 <= 0), cost: 1 New rule: l11 -> l12 : -1+tmp_7^0 >= 0, cost: 1 Applied preprocessing Original rule: l12 -> l10 : tmp_7^0'=tmp_7^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 /\ tmp_7^0-tmp_7^post17 == 0 /\ -1-x_5^0+x_5^post17 == 0 /\ Result_4^0-Result_4^post17 == 0), cost: 1 New rule: l12 -> l10 : x_5^0'=1+x_5^0, TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l1 : tmp_7^0'=tmp_7^post18, y_6^0'=y_6^post18, Result_4^0'=Result_4^post18, x_5^0'=x_5^post18, (Result_4^0-Result_4^post18 == 0 /\ y_6^0-y_6^post18 == 0 /\ tmp_7^0-tmp_7^post18 == 0 /\ -x_5^post18+x_5^0 == 0), cost: 1 New rule: l10 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l13 -> l0 : tmp_7^0'=tmp_7^post19, y_6^0'=y_6^post19, Result_4^0'=Result_4^post19, x_5^0'=x_5^post19, (tmp_7^0-tmp_7^post19 == 0 /\ Result_4^0-Result_4^post19 == 0 /\ -x_5^post19+x_5^0 == 0 /\ y_6^0-y_6^post19 == 0), cost: 1 New rule: l13 -> l0 : TRUE, cost: 1 Simplified rules Start location: l13 20: l0 -> l1 : TRUE, cost: 1 21: l1 -> l5 : tmp_7^0'=0, y_6^0-x_5^0 == 0, cost: 1 23: l1 -> l7 : tmp_7^0'=tmp_7^post7, y_6^0-x_5^0 == 0, cost: 1 28: l1 -> l9 : tmp_7^0'=0, 1-y_6^0+x_5^0 <= 0, cost: 1 30: l1 -> l11 : tmp_7^0'=tmp_7^post14, 1-y_6^0+x_5^0 <= 0, cost: 1 22: l5 -> l1 : TRUE, cost: 1 24: l7 -> l8 : 1+tmp_7^0 <= 0, cost: 1 25: l7 -> l8 : -1+tmp_7^0 >= 0, cost: 1 26: l8 -> l6 : x_5^0'=1+x_5^0, TRUE, cost: 1 27: l6 -> l1 : TRUE, cost: 1 29: l9 -> l1 : TRUE, cost: 1 31: l11 -> l12 : 1+tmp_7^0 <= 0, cost: 1 32: l11 -> l12 : -1+tmp_7^0 >= 0, cost: 1 33: l12 -> l10 : x_5^0'=1+x_5^0, TRUE, cost: 1 34: l10 -> l1 : TRUE, cost: 1 35: l13 -> l0 : TRUE, cost: 1 Eliminating location l0 by chaining: Applied chaining First rule: l13 -> l0 : TRUE, cost: 1 Second rule: l0 -> l1 : TRUE, cost: 1 New rule: l13 -> l1 : TRUE, cost: 2 Applied deletion Removed the following rules: 20 35 Eliminating location l5 by chaining: Applied chaining First rule: l1 -> l5 : tmp_7^0'=0, y_6^0-x_5^0 == 0, cost: 1 Second rule: l5 -> l1 : TRUE, cost: 1 New rule: l1 -> l1 : tmp_7^0'=0, y_6^0-x_5^0 == 0, cost: 2 Applied deletion Removed the following rules: 21 22 Eliminating location l9 by chaining: Applied chaining First rule: l1 -> l9 : tmp_7^0'=0, 1-y_6^0+x_5^0 <= 0, cost: 1 Second rule: l9 -> l1 : TRUE, cost: 1 New rule: l1 -> l1 : tmp_7^0'=0, 1-y_6^0+x_5^0 <= 0, cost: 2 Applied deletion Removed the following rules: 28 29 Eliminating location l6 by chaining: Applied chaining First rule: l8 -> l6 : x_5^0'=1+x_5^0, TRUE, cost: 1 Second rule: l6 -> l1 : TRUE, cost: 1 New rule: l8 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 Applied deletion Removed the following rules: 26 27 Eliminating location l10 by chaining: Applied chaining First rule: l12 -> l10 : x_5^0'=1+x_5^0, TRUE, cost: 1 Second rule: l10 -> l1 : TRUE, cost: 1 New rule: l12 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 Applied deletion Removed the following rules: 33 34 Eliminated locations on linear paths Start location: l13 23: l1 -> l7 : tmp_7^0'=tmp_7^post7, y_6^0-x_5^0 == 0, cost: 1 30: l1 -> l11 : tmp_7^0'=tmp_7^post14, 1-y_6^0+x_5^0 <= 0, cost: 1 37: l1 -> l1 : tmp_7^0'=0, y_6^0-x_5^0 == 0, cost: 2 38: l1 -> l1 : tmp_7^0'=0, 1-y_6^0+x_5^0 <= 0, cost: 2 24: l7 -> l8 : 1+tmp_7^0 <= 0, cost: 1 25: l7 -> l8 : -1+tmp_7^0 >= 0, cost: 1 39: l8 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 31: l11 -> l12 : 1+tmp_7^0 <= 0, cost: 1 32: l11 -> l12 : -1+tmp_7^0 >= 0, cost: 1 40: l12 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 36: l13 -> l1 : TRUE, cost: 2 Applied nonterm Original rule: l1 -> l1 : tmp_7^0'=0, y_6^0-x_5^0 == 0, cost: 2 New rule: l1 -> [14] : (-1+n >= 0 /\ y_6^0-x_5^0 >= 0 /\ -y_6^0+x_5^0 >= 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_kncLoF.txt Applied nonterm Original rule: l1 -> l1 : tmp_7^0'=0, 1-y_6^0+x_5^0 <= 0, cost: 2 New rule: l1 -> [14] : (-1+y_6^0-x_5^0 >= 0 /\ -1+n0 >= 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_PKhHBN.txt Applied deletion Removed the following rules: 37 38 Accelerated simple loops Start location: l13 23: l1 -> l7 : tmp_7^0'=tmp_7^post7, y_6^0-x_5^0 == 0, cost: 1 30: l1 -> l11 : tmp_7^0'=tmp_7^post14, 1-y_6^0+x_5^0 <= 0, cost: 1 41: l1 -> [14] : (-1+n >= 0 /\ y_6^0-x_5^0 >= 0 /\ -y_6^0+x_5^0 >= 0), cost: NONTERM 42: l1 -> [14] : (-1+y_6^0-x_5^0 >= 0 /\ -1+n0 >= 0), cost: NONTERM 24: l7 -> l8 : 1+tmp_7^0 <= 0, cost: 1 25: l7 -> l8 : -1+tmp_7^0 >= 0, cost: 1 39: l8 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 31: l11 -> l12 : 1+tmp_7^0 <= 0, cost: 1 32: l11 -> l12 : -1+tmp_7^0 >= 0, cost: 1 40: l12 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 36: l13 -> l1 : TRUE, cost: 2 Applied chaining First rule: l13 -> l1 : TRUE, cost: 2 Second rule: l1 -> [14] : (-1+n >= 0 /\ y_6^0-x_5^0 >= 0 /\ -y_6^0+x_5^0 >= 0), cost: NONTERM New rule: l13 -> [14] : -y_6^0+x_5^0 == 0, cost: NONTERM Applied chaining First rule: l8 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 Second rule: l1 -> [14] : (-1+n >= 0 /\ y_6^0-x_5^0 >= 0 /\ -y_6^0+x_5^0 >= 0), cost: NONTERM New rule: l8 -> [14] : 1-y_6^0+x_5^0 == 0, cost: NONTERM Applied chaining First rule: l12 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 Second rule: l1 -> [14] : (-1+n >= 0 /\ y_6^0-x_5^0 >= 0 /\ -y_6^0+x_5^0 >= 0), cost: NONTERM New rule: l12 -> [14] : 1-y_6^0+x_5^0 == 0, cost: NONTERM Applied chaining First rule: l13 -> l1 : TRUE, cost: 2 Second rule: l1 -> [14] : (-1+y_6^0-x_5^0 >= 0 /\ -1+n0 >= 0), cost: NONTERM New rule: l13 -> [14] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM Applied chaining First rule: l8 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 Second rule: l1 -> [14] : (-1+y_6^0-x_5^0 >= 0 /\ -1+n0 >= 0), cost: NONTERM New rule: l8 -> [14] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM Applied chaining First rule: l12 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 Second rule: l1 -> [14] : (-1+y_6^0-x_5^0 >= 0 /\ -1+n0 >= 0), cost: NONTERM New rule: l12 -> [14] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM Applied deletion Removed the following rules: 41 42 Chained accelerated rules with incoming rules Start location: l13 23: l1 -> l7 : tmp_7^0'=tmp_7^post7, y_6^0-x_5^0 == 0, cost: 1 30: l1 -> l11 : tmp_7^0'=tmp_7^post14, 1-y_6^0+x_5^0 <= 0, cost: 1 24: l7 -> l8 : 1+tmp_7^0 <= 0, cost: 1 25: l7 -> l8 : -1+tmp_7^0 >= 0, cost: 1 39: l8 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 44: l8 -> [14] : 1-y_6^0+x_5^0 == 0, cost: NONTERM 47: l8 -> [14] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM 31: l11 -> l12 : 1+tmp_7^0 <= 0, cost: 1 32: l11 -> l12 : -1+tmp_7^0 >= 0, cost: 1 40: l12 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 45: l12 -> [14] : 1-y_6^0+x_5^0 == 0, cost: NONTERM 48: l12 -> [14] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM 36: l13 -> l1 : TRUE, cost: 2 43: l13 -> [14] : -y_6^0+x_5^0 == 0, cost: NONTERM 46: l13 -> [14] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM Eliminating location l7 by chaining: Applied chaining First rule: l1 -> l7 : tmp_7^0'=tmp_7^post7, y_6^0-x_5^0 == 0, cost: 1 Second rule: l7 -> l8 : 1+tmp_7^0 <= 0, cost: 1 New rule: l1 -> l8 : tmp_7^0'=tmp_7^post7, (y_6^0-x_5^0 == 0 /\ 1+tmp_7^post7 <= 0), cost: 2 Applied chaining First rule: l1 -> l7 : tmp_7^0'=tmp_7^post7, y_6^0-x_5^0 == 0, cost: 1 Second rule: l7 -> l8 : -1+tmp_7^0 >= 0, cost: 1 New rule: l1 -> l8 : tmp_7^0'=tmp_7^post7, (-1+tmp_7^post7 >= 0 /\ y_6^0-x_5^0 == 0), cost: 2 Applied deletion Removed the following rules: 23 24 25 Eliminating location l11 by chaining: Applied chaining First rule: l1 -> l11 : tmp_7^0'=tmp_7^post14, 1-y_6^0+x_5^0 <= 0, cost: 1 Second rule: l11 -> l12 : 1+tmp_7^0 <= 0, cost: 1 New rule: l1 -> l12 : tmp_7^0'=tmp_7^post14, (1-y_6^0+x_5^0 <= 0 /\ 1+tmp_7^post14 <= 0), cost: 2 Applied chaining First rule: l1 -> l11 : tmp_7^0'=tmp_7^post14, 1-y_6^0+x_5^0 <= 0, cost: 1 Second rule: l11 -> l12 : -1+tmp_7^0 >= 0, cost: 1 New rule: l1 -> l12 : tmp_7^0'=tmp_7^post14, (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 Applied deletion Removed the following rules: 30 31 32 Eliminated locations on tree-shaped paths Start location: l13 49: l1 -> l8 : tmp_7^0'=tmp_7^post7, (y_6^0-x_5^0 == 0 /\ 1+tmp_7^post7 <= 0), cost: 2 50: l1 -> l8 : tmp_7^0'=tmp_7^post7, (-1+tmp_7^post7 >= 0 /\ y_6^0-x_5^0 == 0), cost: 2 51: l1 -> l12 : tmp_7^0'=tmp_7^post14, (1-y_6^0+x_5^0 <= 0 /\ 1+tmp_7^post14 <= 0), cost: 2 52: l1 -> l12 : tmp_7^0'=tmp_7^post14, (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 39: l8 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 44: l8 -> [14] : 1-y_6^0+x_5^0 == 0, cost: NONTERM 47: l8 -> [14] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM 40: l12 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 45: l12 -> [14] : 1-y_6^0+x_5^0 == 0, cost: NONTERM 48: l12 -> [14] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM 36: l13 -> l1 : TRUE, cost: 2 43: l13 -> [14] : -y_6^0+x_5^0 == 0, cost: NONTERM 46: l13 -> [14] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM Eliminating location l8 by chaining: Applied chaining First rule: l1 -> l8 : tmp_7^0'=tmp_7^post7, (y_6^0-x_5^0 == 0 /\ 1+tmp_7^post7 <= 0), cost: 2 Second rule: l8 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 New rule: l1 -> l1 : tmp_7^0'=tmp_7^post7, x_5^0'=1+x_5^0, (y_6^0-x_5^0 == 0 /\ 1+tmp_7^post7 <= 0), cost: 4 Applied chaining First rule: l1 -> l8 : tmp_7^0'=tmp_7^post7, (-1+tmp_7^post7 >= 0 /\ y_6^0-x_5^0 == 0), cost: 2 Second rule: l8 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 New rule: l1 -> l1 : tmp_7^0'=tmp_7^post7, x_5^0'=1+x_5^0, (-1+tmp_7^post7 >= 0 /\ y_6^0-x_5^0 == 0), cost: 4 Applied deletion Removed the following rules: 39 44 47 49 50 Eliminating location l12 by chaining: Applied chaining First rule: l1 -> l12 : tmp_7^0'=tmp_7^post14, (1-y_6^0+x_5^0 <= 0 /\ 1+tmp_7^post14 <= 0), cost: 2 Second rule: l12 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 New rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=1+x_5^0, (1-y_6^0+x_5^0 <= 0 /\ 1+tmp_7^post14 <= 0), cost: 4 Applied chaining First rule: l1 -> l12 : tmp_7^0'=tmp_7^post14, (1-y_6^0+x_5^0 <= 0 /\ 1+tmp_7^post14 <= 0), cost: 2 Second rule: l12 -> [14] : 1-y_6^0+x_5^0 == 0, cost: NONTERM New rule: l1 -> [14] : (1-y_6^0+x_5^0 <= 0 /\ 1-y_6^0+x_5^0 == 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM Applied simplification Original rule: l1 -> [14] : (1-y_6^0+x_5^0 <= 0 /\ 1-y_6^0+x_5^0 == 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM New rule: l1 -> [14] : (1-y_6^0+x_5^0 == 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM Applied chaining First rule: l1 -> l12 : tmp_7^0'=tmp_7^post14, (1-y_6^0+x_5^0 <= 0 /\ 1+tmp_7^post14 <= 0), cost: 2 Second rule: l12 -> [14] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM New rule: l1 -> [14] : (-2+y_6^0-x_5^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM Applied simplification Original rule: l1 -> [14] : (-2+y_6^0-x_5^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM New rule: l1 -> [14] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM Applied chaining First rule: l1 -> l12 : tmp_7^0'=tmp_7^post14, (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 Second rule: l12 -> l1 : x_5^0'=1+x_5^0, TRUE, cost: 2 New rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=1+x_5^0, (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 Applied chaining First rule: l1 -> l12 : tmp_7^0'=tmp_7^post14, (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 Second rule: l12 -> [14] : 1-y_6^0+x_5^0 == 0, cost: NONTERM New rule: l1 -> [14] : (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 <= 0 /\ 1-y_6^0+x_5^0 == 0), cost: NONTERM Applied simplification Original rule: l1 -> [14] : (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 <= 0 /\ 1-y_6^0+x_5^0 == 0), cost: NONTERM New rule: l1 -> [14] : (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 == 0), cost: NONTERM Applied chaining First rule: l1 -> l12 : tmp_7^0'=tmp_7^post14, (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 Second rule: l12 -> [14] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM New rule: l1 -> [14] : (-1+tmp_7^post14 >= 0 /\ -2+y_6^0-x_5^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied simplification Original rule: l1 -> [14] : (-1+tmp_7^post14 >= 0 /\ -2+y_6^0-x_5^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM New rule: l1 -> [14] : (-1+tmp_7^post14 >= 0 /\ -2+y_6^0-x_5^0 >= 0), cost: NONTERM Applied deletion Removed the following rules: 40 45 48 51 52 Eliminated locations on tree-shaped paths Start location: l13 53: l1 -> l1 : tmp_7^0'=tmp_7^post7, x_5^0'=1+x_5^0, (y_6^0-x_5^0 == 0 /\ 1+tmp_7^post7 <= 0), cost: 4 54: l1 -> l1 : tmp_7^0'=tmp_7^post7, x_5^0'=1+x_5^0, (-1+tmp_7^post7 >= 0 /\ y_6^0-x_5^0 == 0), cost: 4 55: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=1+x_5^0, (1-y_6^0+x_5^0 <= 0 /\ 1+tmp_7^post14 <= 0), cost: 4 56: l1 -> [14] : (1-y_6^0+x_5^0 == 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM 57: l1 -> [14] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM 58: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=1+x_5^0, (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 59: l1 -> [14] : (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 == 0), cost: NONTERM 60: l1 -> [14] : (-1+tmp_7^post14 >= 0 /\ -2+y_6^0-x_5^0 >= 0), cost: NONTERM 36: l13 -> l1 : TRUE, cost: 2 43: l13 -> [14] : -y_6^0+x_5^0 == 0, cost: NONTERM 46: l13 -> [14] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM Applied acceleration Original rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=1+x_5^0, (1-y_6^0+x_5^0 <= 0 /\ 1+tmp_7^post14 <= 0), cost: 4 New rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=n3+x_5^0, (y_6^0-n3-x_5^0 >= 0 /\ -1+n3 >= 0 /\ -1-tmp_7^post14 >= 0), cost: 4*n3 Sub-proof via acceration calculus written to file:///tmp/tmpnam_BpHjAN.txt Applied instantiation Original rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=n3+x_5^0, (y_6^0-n3-x_5^0 >= 0 /\ -1+n3 >= 0 /\ -1-tmp_7^post14 >= 0), cost: 4*n3 New rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (0 >= 0 /\ -1+y_6^0-x_5^0 >= 0 /\ -1-tmp_7^post14 >= 0), cost: 4*y_6^0-4*x_5^0 Applied acceleration Original rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=1+x_5^0, (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4 New rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=n4+x_5^0, (-1+tmp_7^post14 >= 0 /\ -n4+y_6^0-x_5^0 >= 0 /\ -1+n4 >= 0), cost: 4*n4 Sub-proof via acceration calculus written to file:///tmp/tmpnam_DpNIBj.txt Applied instantiation Original rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=n4+x_5^0, (-1+tmp_7^post14 >= 0 /\ -n4+y_6^0-x_5^0 >= 0 /\ -1+n4 >= 0), cost: 4*n4 New rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (0 >= 0 /\ -1+tmp_7^post14 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 4*y_6^0-4*x_5^0 Applied simplification Original rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (0 >= 0 /\ -1+y_6^0-x_5^0 >= 0 /\ -1-tmp_7^post14 >= 0), cost: 4*y_6^0-4*x_5^0 New rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: 4*y_6^0-4*x_5^0 Applied simplification Original rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (0 >= 0 /\ -1+tmp_7^post14 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 4*y_6^0-4*x_5^0 New rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (-1+tmp_7^post14 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 4*y_6^0-4*x_5^0 Applied deletion Removed the following rules: 55 58 Accelerated simple loops Start location: l13 53: l1 -> l1 : tmp_7^0'=tmp_7^post7, x_5^0'=1+x_5^0, (y_6^0-x_5^0 == 0 /\ 1+tmp_7^post7 <= 0), cost: 4 54: l1 -> l1 : tmp_7^0'=tmp_7^post7, x_5^0'=1+x_5^0, (-1+tmp_7^post7 >= 0 /\ y_6^0-x_5^0 == 0), cost: 4 56: l1 -> [14] : (1-y_6^0+x_5^0 == 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM 57: l1 -> [14] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM 59: l1 -> [14] : (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 == 0), cost: NONTERM 60: l1 -> [14] : (-1+tmp_7^post14 >= 0 /\ -2+y_6^0-x_5^0 >= 0), cost: NONTERM 63: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: 4*y_6^0-4*x_5^0 64: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (-1+tmp_7^post14 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 4*y_6^0-4*x_5^0 36: l13 -> l1 : TRUE, cost: 2 43: l13 -> [14] : -y_6^0+x_5^0 == 0, cost: NONTERM 46: l13 -> [14] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM Applied chaining First rule: l13 -> l1 : TRUE, cost: 2 Second rule: l1 -> l1 : tmp_7^0'=tmp_7^post7, x_5^0'=1+x_5^0, (y_6^0-x_5^0 == 0 /\ 1+tmp_7^post7 <= 0), cost: 4 New rule: l13 -> l1 : tmp_7^0'=tmp_7^post7, x_5^0'=1+x_5^0, (y_6^0-x_5^0 == 0 /\ 1+tmp_7^post7 <= 0), cost: 6 Applied chaining First rule: l13 -> l1 : TRUE, cost: 2 Second rule: l1 -> l1 : tmp_7^0'=tmp_7^post7, x_5^0'=1+x_5^0, (-1+tmp_7^post7 >= 0 /\ y_6^0-x_5^0 == 0), cost: 4 New rule: l13 -> l1 : tmp_7^0'=tmp_7^post7, x_5^0'=1+x_5^0, (-1+tmp_7^post7 >= 0 /\ y_6^0-x_5^0 == 0), cost: 6 Applied chaining First rule: l13 -> l1 : TRUE, cost: 2 Second rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: 4*y_6^0-4*x_5^0 New rule: l13 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: 2+4*y_6^0-4*x_5^0 Applied chaining First rule: l13 -> l1 : TRUE, cost: 2 Second rule: l1 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (-1+tmp_7^post14 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 4*y_6^0-4*x_5^0 New rule: l13 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (-1+tmp_7^post14 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 2+4*y_6^0-4*x_5^0 Applied deletion Removed the following rules: 53 54 63 64 Chained accelerated rules with incoming rules Start location: l13 56: l1 -> [14] : (1-y_6^0+x_5^0 == 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM 57: l1 -> [14] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM 59: l1 -> [14] : (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 == 0), cost: NONTERM 60: l1 -> [14] : (-1+tmp_7^post14 >= 0 /\ -2+y_6^0-x_5^0 >= 0), cost: NONTERM 36: l13 -> l1 : TRUE, cost: 2 43: l13 -> [14] : -y_6^0+x_5^0 == 0, cost: NONTERM 46: l13 -> [14] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM 65: l13 -> l1 : tmp_7^0'=tmp_7^post7, x_5^0'=1+x_5^0, (y_6^0-x_5^0 == 0 /\ 1+tmp_7^post7 <= 0), cost: 6 66: l13 -> l1 : tmp_7^0'=tmp_7^post7, x_5^0'=1+x_5^0, (-1+tmp_7^post7 >= 0 /\ y_6^0-x_5^0 == 0), cost: 6 67: l13 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: 2+4*y_6^0-4*x_5^0 68: l13 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (-1+tmp_7^post14 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 2+4*y_6^0-4*x_5^0 Eliminating location l1 by chaining: Applied chaining First rule: l13 -> l1 : TRUE, cost: 2 Second rule: l1 -> [14] : (1-y_6^0+x_5^0 == 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM New rule: l13 -> [14] : (1-y_6^0+x_5^0 == 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM Applied chaining First rule: l13 -> l1 : TRUE, cost: 2 Second rule: l1 -> [14] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM New rule: l13 -> [14] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM Applied chaining First rule: l13 -> l1 : TRUE, cost: 2 Second rule: l1 -> [14] : (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 == 0), cost: NONTERM New rule: l13 -> [14] : (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 == 0), cost: NONTERM Applied chaining First rule: l13 -> l1 : TRUE, cost: 2 Second rule: l1 -> [14] : (-1+tmp_7^post14 >= 0 /\ -2+y_6^0-x_5^0 >= 0), cost: NONTERM New rule: l13 -> [14] : (-1+tmp_7^post14 >= 0 /\ -2+y_6^0-x_5^0 >= 0), cost: NONTERM Applied partial deletion Original rule: l13 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: 2+4*y_6^0-4*x_5^0 New rule: l13 -> [16] : (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: 2+4*y_6^0-4*x_5^0 Applied partial deletion Original rule: l13 -> l1 : tmp_7^0'=tmp_7^post14, x_5^0'=y_6^0, (-1+tmp_7^post14 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 2+4*y_6^0-4*x_5^0 New rule: l13 -> [16] : (-1+tmp_7^post14 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 2+4*y_6^0-4*x_5^0 Applied deletion Removed the following rules: 36 56 57 59 60 65 66 67 68 Eliminated locations on tree-shaped paths Start location: l13 43: l13 -> [14] : -y_6^0+x_5^0 == 0, cost: NONTERM 46: l13 -> [14] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM 69: l13 -> [14] : (1-y_6^0+x_5^0 == 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM 70: l13 -> [14] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: NONTERM 71: l13 -> [14] : (-1+tmp_7^post14 >= 0 /\ 1-y_6^0+x_5^0 == 0), cost: NONTERM 72: l13 -> [14] : (-1+tmp_7^post14 >= 0 /\ -2+y_6^0-x_5^0 >= 0), cost: NONTERM 73: l13 -> [16] : (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post14 <= 0), cost: 2+4*y_6^0-4*x_5^0 74: l13 -> [16] : (-1+tmp_7^post14 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 2+4*y_6^0-4*x_5^0 Computing asymptotic complexity Proved nontermination of rule 43 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: -y_6^0+x_5^0 == 0