unknown Initial ITS Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 0: l0 -> l1 : a^0'=a^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, (0 == 0 /\ -e^post1-b^post1+sum^post1-c^post1-d^post1-a^post1 == 0 /\ 1-e^post1-b^post1-c^post1-d^post1-a^post1 <= 0), cost: 1 1: l1 -> l2 : a^0'=a^post2, b^0'=b^post2, c^0'=c^post2, d^0'=d^post2, e^0'=e^post2, sum^0'=sum^post2, (-a^0+a^post2+e^post2 == 0 /\ sum^0-sum^post2 == 0 /\ 1+e^0 <= 0 /\ -d^0+d^post2+e^post2 == 0 /\ e^0+e^post2 == 0 /\ c^0-c^post2 == 0 /\ b^0-b^post2 == 0), cost: 1 3: l1 -> l3 : a^0'=a^post4, b^0'=b^post4, c^0'=c^post4, d^0'=d^post4, e^0'=e^post4, sum^0'=sum^post4, (1+d^0 <= 0 /\ -a^post4+a^0 == 0 /\ -c^0+d^post4+c^post4 == 0 /\ d^post4+e^post4-e^0 == 0 /\ -b^post4+b^0 == 0 /\ sum^0-sum^post4 == 0 /\ d^post4+d^0 == 0), cost: 1 5: l1 -> l4 : a^0'=a^post6, b^0'=b^post6, c^0'=c^post6, d^0'=d^post6, e^0'=e^post6, sum^0'=sum^post6, (sum^0-sum^post6 == 0 /\ c^0+c^post6 == 0 /\ 1+c^0 <= 0 /\ a^0-a^post6 == 0 /\ -e^post6+e^0 == 0 /\ b^post6+c^post6-b^0 == 0 /\ -d^0+c^post6+d^post6 == 0), cost: 1 7: l1 -> l5 : a^0'=a^post8, b^0'=b^post8, c^0'=c^post8, d^0'=d^post8, e^0'=e^post8, sum^0'=sum^post8, (b^post8-c^0+c^post8 == 0 /\ b^post8+b^0 == 0 /\ 1+b^0 <= 0 /\ sum^0-sum^post8 == 0 /\ -e^post8+e^0 == 0 /\ d^0-d^post8 == 0 /\ b^post8-a^0+a^post8 == 0), cost: 1 9: l1 -> l6 : a^0'=a^post10, b^0'=b^post10, c^0'=c^post10, d^0'=d^post10, e^0'=e^post10, sum^0'=sum^post10, (e^post10-e^0+a^post10 == 0 /\ c^0-c^post10 == 0 /\ a^0+a^post10 == 0 /\ b^post10+a^post10-b^0 == 0 /\ sum^0-sum^post10 == 0 /\ 1+a^0 <= 0 /\ d^0-d^post10 == 0), cost: 1 2: l2 -> l1 : a^0'=a^post3, b^0'=b^post3, c^0'=c^post3, d^0'=d^post3, e^0'=e^post3, sum^0'=sum^post3, (-a^post3+a^0 == 0 /\ -e^post3+e^0 == 0 /\ -d^post3+d^0 == 0 /\ -b^post3+b^0 == 0 /\ sum^0-sum^post3 == 0 /\ -c^post3+c^0 == 0), cost: 1 4: l3 -> l1 : a^0'=a^post5, b^0'=b^post5, c^0'=c^post5, d^0'=d^post5, e^0'=e^post5, sum^0'=sum^post5, (-b^post5+b^0 == 0 /\ -a^post5+a^0 == 0 /\ sum^0-sum^post5 == 0 /\ c^0-c^post5 == 0 /\ -d^post5+d^0 == 0 /\ -e^post5+e^0 == 0), cost: 1 6: l4 -> l1 : a^0'=a^post7, b^0'=b^post7, c^0'=c^post7, d^0'=d^post7, e^0'=e^post7, sum^0'=sum^post7, (-e^post7+e^0 == 0 /\ d^0-d^post7 == 0 /\ -b^post7+b^0 == 0 /\ a^0-a^post7 == 0 /\ sum^0-sum^post7 == 0 /\ c^0-c^post7 == 0), cost: 1 8: l5 -> l1 : a^0'=a^post9, b^0'=b^post9, c^0'=c^post9, d^0'=d^post9, e^0'=e^post9, sum^0'=sum^post9, (sum^0-sum^post9 == 0 /\ d^0-d^post9 == 0 /\ -e^post9+e^0 == 0 /\ a^0-a^post9 == 0 /\ -b^post9+b^0 == 0 /\ c^0-c^post9 == 0), cost: 1 10: l6 -> l1 : a^0'=a^post11, b^0'=b^post11, c^0'=c^post11, d^0'=d^post11, e^0'=e^post11, sum^0'=sum^post11, (a^0-a^post11 == 0 /\ c^0-c^post11 == 0 /\ sum^0-sum^post11 == 0 /\ d^0-d^post11 == 0 /\ -e^post11+e^0 == 0 /\ b^0-b^post11 == 0), cost: 1 11: l7 -> l0 : a^0'=a^post12, b^0'=b^post12, c^0'=c^post12, d^0'=d^post12, e^0'=e^post12, sum^0'=sum^post12, (a^0-a^post12 == 0 /\ sum^0-sum^post12 == 0 /\ c^0-c^post12 == 0 /\ d^0-d^post12 == 0 /\ e^0-e^post12 == 0 /\ b^0-b^post12 == 0), cost: 1 Chained Linear Paths Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 13: l1 -> l1 : a^0'=a^post3, b^0'=b^post3, c^0'=c^post3, d^0'=d^post3, e^0'=e^post3, sum^0'=sum^post3, (-c^post3+c^post2 == 0 /\ -a^0+a^post2+e^post2 == 0 /\ sum^0-sum^post2 == 0 /\ sum^post2-sum^post3 == 0 /\ 1+e^0 <= 0 /\ -d^0+d^post2+e^post2 == 0 /\ -a^post3+a^post2 == 0 /\ -e^post3+e^post2 == 0 /\ e^0+e^post2 == 0 /\ c^0-c^post2 == 0 /\ -b^post3+b^post2 == 0 /\ -d^post3+d^post2 == 0 /\ b^0-b^post2 == 0), cost: 1 14: l1 -> l1 : a^0'=a^post5, b^0'=b^post5, c^0'=c^post5, d^0'=d^post5, e^0'=e^post5, sum^0'=sum^post5, (-sum^post5+sum^post4 == 0 /\ 1+d^0 <= 0 /\ -a^post4+a^0 == 0 /\ -d^post5+d^post4 == 0 /\ -c^0+d^post4+c^post4 == 0 /\ -c^post5+c^post4 == 0 /\ d^post4+e^post4-e^0 == 0 /\ -e^post5+e^post4 == 0 /\ -b^post5+b^post4 == 0 /\ -b^post4+b^0 == 0 /\ sum^0-sum^post4 == 0 /\ -a^post5+a^post4 == 0 /\ d^post4+d^0 == 0), cost: 1 15: l1 -> l1 : a^0'=a^post7, b^0'=b^post7, c^0'=c^post7, d^0'=d^post7, e^0'=e^post7, sum^0'=sum^post7, (sum^0-sum^post6 == 0 /\ -e^post7+e^post6 == 0 /\ -b^post7+b^post6 == 0 /\ c^0+c^post6 == 0 /\ -c^post7+c^post6 == 0 /\ -a^post7+a^post6 == 0 /\ 1+c^0 <= 0 /\ a^0-a^post6 == 0 /\ -e^post6+e^0 == 0 /\ -d^post7+d^post6 == 0 /\ b^post6+c^post6-b^0 == 0 /\ -d^0+c^post6+d^post6 == 0 /\ -sum^post7+sum^post6 == 0), cost: 1 16: l1 -> l1 : a^0'=a^post9, b^0'=b^post9, c^0'=c^post9, d^0'=d^post9, e^0'=e^post9, sum^0'=sum^post9, (e^post8-e^post9 == 0 /\ sum^post8-sum^post9 == 0 /\ b^post8-c^0+c^post8 == 0 /\ b^post8+b^0 == 0 /\ 1+b^0 <= 0 /\ d^post8-d^post9 == 0 /\ sum^0-sum^post8 == 0 /\ a^post8-a^post9 == 0 /\ -e^post8+e^0 == 0 /\ b^post8-b^post9 == 0 /\ d^0-d^post8 == 0 /\ c^post8-c^post9 == 0 /\ b^post8-a^0+a^post8 == 0), cost: 1 17: l1 -> l1 : a^0'=a^post11, b^0'=b^post11, c^0'=c^post11, d^0'=d^post11, e^0'=e^post11, sum^0'=sum^post11, (e^post10-e^0+a^post10 == 0 /\ c^0-c^post10 == 0 /\ a^0+a^post10 == 0 /\ b^post10-b^post11 == 0 /\ -e^post11+e^post10 == 0 /\ -d^post11+d^post10 == 0 /\ -a^post11+a^post10 == 0 /\ b^post10+a^post10-b^0 == 0 /\ sum^0-sum^post10 == 0 /\ 1+a^0 <= 0 /\ -sum^post11+sum^post10 == 0 /\ d^0-d^post10 == 0 /\ -c^post11+c^post10 == 0), cost: 1 12: l7 -> l1 : a^0'=a^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, (0 == 0 /\ a^0-a^post12 == 0 /\ sum^0-sum^post12 == 0 /\ c^0-c^post12 == 0 /\ -e^post1-b^post1+sum^post1-c^post1-d^post1-a^post1 == 0 /\ d^0-d^post12 == 0 /\ e^0-e^post12 == 0 /\ 1-e^post1-b^post1-c^post1-d^post1-a^post1 <= 0 /\ b^0-b^post12 == 0), cost: 1 Eliminating location l0 by chaining: Applied chaining First rule: l7 -> l0 : a^0'=a^post12, b^0'=b^post12, c^0'=c^post12, d^0'=d^post12, e^0'=e^post12, sum^0'=sum^post12, (a^0-a^post12 == 0 /\ sum^0-sum^post12 == 0 /\ c^0-c^post12 == 0 /\ d^0-d^post12 == 0 /\ e^0-e^post12 == 0 /\ b^0-b^post12 == 0), cost: 1 Second rule: l0 -> l1 : a^0'=a^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, (0 == 0 /\ -e^post1-b^post1+sum^post1-c^post1-d^post1-a^post1 == 0 /\ 1-e^post1-b^post1-c^post1-d^post1-a^post1 <= 0), cost: 1 New rule: l7 -> l1 : a^0'=a^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, (0 == 0 /\ a^0-a^post12 == 0 /\ sum^0-sum^post12 == 0 /\ c^0-c^post12 == 0 /\ -e^post1-b^post1+sum^post1-c^post1-d^post1-a^post1 == 0 /\ d^0-d^post12 == 0 /\ e^0-e^post12 == 0 /\ 1-e^post1-b^post1-c^post1-d^post1-a^post1 <= 0 /\ b^0-b^post12 == 0), cost: 1 Applied deletion Removed the following rules: 0 11 Eliminating location l2 by chaining: Applied chaining First rule: l1 -> l2 : a^0'=a^post2, b^0'=b^post2, c^0'=c^post2, d^0'=d^post2, e^0'=e^post2, sum^0'=sum^post2, (-a^0+a^post2+e^post2 == 0 /\ sum^0-sum^post2 == 0 /\ 1+e^0 <= 0 /\ -d^0+d^post2+e^post2 == 0 /\ e^0+e^post2 == 0 /\ c^0-c^post2 == 0 /\ b^0-b^post2 == 0), cost: 1 Second rule: l2 -> l1 : a^0'=a^post3, b^0'=b^post3, c^0'=c^post3, d^0'=d^post3, e^0'=e^post3, sum^0'=sum^post3, (-a^post3+a^0 == 0 /\ -e^post3+e^0 == 0 /\ -d^post3+d^0 == 0 /\ -b^post3+b^0 == 0 /\ sum^0-sum^post3 == 0 /\ -c^post3+c^0 == 0), cost: 1 New rule: l1 -> l1 : a^0'=a^post3, b^0'=b^post3, c^0'=c^post3, d^0'=d^post3, e^0'=e^post3, sum^0'=sum^post3, (-c^post3+c^post2 == 0 /\ -a^0+a^post2+e^post2 == 0 /\ sum^0-sum^post2 == 0 /\ sum^post2-sum^post3 == 0 /\ 1+e^0 <= 0 /\ -d^0+d^post2+e^post2 == 0 /\ -a^post3+a^post2 == 0 /\ -e^post3+e^post2 == 0 /\ e^0+e^post2 == 0 /\ c^0-c^post2 == 0 /\ -b^post3+b^post2 == 0 /\ -d^post3+d^post2 == 0 /\ b^0-b^post2 == 0), cost: 1 Applied deletion Removed the following rules: 1 2 Eliminating location l3 by chaining: Applied chaining First rule: l1 -> l3 : a^0'=a^post4, b^0'=b^post4, c^0'=c^post4, d^0'=d^post4, e^0'=e^post4, sum^0'=sum^post4, (1+d^0 <= 0 /\ -a^post4+a^0 == 0 /\ -c^0+d^post4+c^post4 == 0 /\ d^post4+e^post4-e^0 == 0 /\ -b^post4+b^0 == 0 /\ sum^0-sum^post4 == 0 /\ d^post4+d^0 == 0), cost: 1 Second rule: l3 -> l1 : a^0'=a^post5, b^0'=b^post5, c^0'=c^post5, d^0'=d^post5, e^0'=e^post5, sum^0'=sum^post5, (-b^post5+b^0 == 0 /\ -a^post5+a^0 == 0 /\ sum^0-sum^post5 == 0 /\ c^0-c^post5 == 0 /\ -d^post5+d^0 == 0 /\ -e^post5+e^0 == 0), cost: 1 New rule: l1 -> l1 : a^0'=a^post5, b^0'=b^post5, c^0'=c^post5, d^0'=d^post5, e^0'=e^post5, sum^0'=sum^post5, (-sum^post5+sum^post4 == 0 /\ 1+d^0 <= 0 /\ -a^post4+a^0 == 0 /\ -d^post5+d^post4 == 0 /\ -c^0+d^post4+c^post4 == 0 /\ -c^post5+c^post4 == 0 /\ d^post4+e^post4-e^0 == 0 /\ -e^post5+e^post4 == 0 /\ -b^post5+b^post4 == 0 /\ -b^post4+b^0 == 0 /\ sum^0-sum^post4 == 0 /\ -a^post5+a^post4 == 0 /\ d^post4+d^0 == 0), cost: 1 Applied deletion Removed the following rules: 3 4 Eliminating location l4 by chaining: Applied chaining First rule: l1 -> l4 : a^0'=a^post6, b^0'=b^post6, c^0'=c^post6, d^0'=d^post6, e^0'=e^post6, sum^0'=sum^post6, (sum^0-sum^post6 == 0 /\ c^0+c^post6 == 0 /\ 1+c^0 <= 0 /\ a^0-a^post6 == 0 /\ -e^post6+e^0 == 0 /\ b^post6+c^post6-b^0 == 0 /\ -d^0+c^post6+d^post6 == 0), cost: 1 Second rule: l4 -> l1 : a^0'=a^post7, b^0'=b^post7, c^0'=c^post7, d^0'=d^post7, e^0'=e^post7, sum^0'=sum^post7, (-e^post7+e^0 == 0 /\ d^0-d^post7 == 0 /\ -b^post7+b^0 == 0 /\ a^0-a^post7 == 0 /\ sum^0-sum^post7 == 0 /\ c^0-c^post7 == 0), cost: 1 New rule: l1 -> l1 : a^0'=a^post7, b^0'=b^post7, c^0'=c^post7, d^0'=d^post7, e^0'=e^post7, sum^0'=sum^post7, (sum^0-sum^post6 == 0 /\ -e^post7+e^post6 == 0 /\ -b^post7+b^post6 == 0 /\ c^0+c^post6 == 0 /\ -c^post7+c^post6 == 0 /\ -a^post7+a^post6 == 0 /\ 1+c^0 <= 0 /\ a^0-a^post6 == 0 /\ -e^post6+e^0 == 0 /\ -d^post7+d^post6 == 0 /\ b^post6+c^post6-b^0 == 0 /\ -d^0+c^post6+d^post6 == 0 /\ -sum^post7+sum^post6 == 0), cost: 1 Applied deletion Removed the following rules: 5 6 Eliminating location l5 by chaining: Applied chaining First rule: l1 -> l5 : a^0'=a^post8, b^0'=b^post8, c^0'=c^post8, d^0'=d^post8, e^0'=e^post8, sum^0'=sum^post8, (b^post8-c^0+c^post8 == 0 /\ b^post8+b^0 == 0 /\ 1+b^0 <= 0 /\ sum^0-sum^post8 == 0 /\ -e^post8+e^0 == 0 /\ d^0-d^post8 == 0 /\ b^post8-a^0+a^post8 == 0), cost: 1 Second rule: l5 -> l1 : a^0'=a^post9, b^0'=b^post9, c^0'=c^post9, d^0'=d^post9, e^0'=e^post9, sum^0'=sum^post9, (sum^0-sum^post9 == 0 /\ d^0-d^post9 == 0 /\ -e^post9+e^0 == 0 /\ a^0-a^post9 == 0 /\ -b^post9+b^0 == 0 /\ c^0-c^post9 == 0), cost: 1 New rule: l1 -> l1 : a^0'=a^post9, b^0'=b^post9, c^0'=c^post9, d^0'=d^post9, e^0'=e^post9, sum^0'=sum^post9, (e^post8-e^post9 == 0 /\ sum^post8-sum^post9 == 0 /\ b^post8-c^0+c^post8 == 0 /\ b^post8+b^0 == 0 /\ 1+b^0 <= 0 /\ d^post8-d^post9 == 0 /\ sum^0-sum^post8 == 0 /\ a^post8-a^post9 == 0 /\ -e^post8+e^0 == 0 /\ b^post8-b^post9 == 0 /\ d^0-d^post8 == 0 /\ c^post8-c^post9 == 0 /\ b^post8-a^0+a^post8 == 0), cost: 1 Applied deletion Removed the following rules: 7 8 Eliminating location l6 by chaining: Applied chaining First rule: l1 -> l6 : a^0'=a^post10, b^0'=b^post10, c^0'=c^post10, d^0'=d^post10, e^0'=e^post10, sum^0'=sum^post10, (e^post10-e^0+a^post10 == 0 /\ c^0-c^post10 == 0 /\ a^0+a^post10 == 0 /\ b^post10+a^post10-b^0 == 0 /\ sum^0-sum^post10 == 0 /\ 1+a^0 <= 0 /\ d^0-d^post10 == 0), cost: 1 Second rule: l6 -> l1 : a^0'=a^post11, b^0'=b^post11, c^0'=c^post11, d^0'=d^post11, e^0'=e^post11, sum^0'=sum^post11, (a^0-a^post11 == 0 /\ c^0-c^post11 == 0 /\ sum^0-sum^post11 == 0 /\ d^0-d^post11 == 0 /\ -e^post11+e^0 == 0 /\ b^0-b^post11 == 0), cost: 1 New rule: l1 -> l1 : a^0'=a^post11, b^0'=b^post11, c^0'=c^post11, d^0'=d^post11, e^0'=e^post11, sum^0'=sum^post11, (e^post10-e^0+a^post10 == 0 /\ c^0-c^post10 == 0 /\ a^0+a^post10 == 0 /\ b^post10-b^post11 == 0 /\ -e^post11+e^post10 == 0 /\ -d^post11+d^post10 == 0 /\ -a^post11+a^post10 == 0 /\ b^post10+a^post10-b^0 == 0 /\ sum^0-sum^post10 == 0 /\ 1+a^0 <= 0 /\ -sum^post11+sum^post10 == 0 /\ d^0-d^post10 == 0 /\ -c^post11+c^post10 == 0), cost: 1 Applied deletion Removed the following rules: 9 10 Simplified Transitions Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 19: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 20: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 21: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 22: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 23: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 18: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 Propagated Equalities Original rule: l7 -> l1 : a^0'=a^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, (0 == 0 /\ a^0-a^post12 == 0 /\ sum^0-sum^post12 == 0 /\ c^0-c^post12 == 0 /\ -e^post1-b^post1+sum^post1-c^post1-d^post1-a^post1 == 0 /\ d^0-d^post12 == 0 /\ e^0-e^post12 == 0 /\ 1-e^post1-b^post1-c^post1-d^post1-a^post1 <= 0 /\ b^0-b^post12 == 0), cost: 1 New rule: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, (0 == 0 /\ a^0-a^post12 == 0 /\ sum^0-sum^post12 == 0 /\ c^0-c^post12 == 0 /\ d^0-d^post12 == 0 /\ e^0-e^post12 == 0 /\ 1-sum^post1 <= 0 /\ b^0-b^post12 == 0), cost: 1 propagated equality a^post1 = -e^post1-b^post1+sum^post1-c^post1-d^post1 Propagated Equalities Original rule: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, (0 == 0 /\ a^0-a^post12 == 0 /\ sum^0-sum^post12 == 0 /\ c^0-c^post12 == 0 /\ d^0-d^post12 == 0 /\ e^0-e^post12 == 0 /\ 1-sum^post1 <= 0 /\ b^0-b^post12 == 0), cost: 1 New rule: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, (0 == 0 /\ 1-sum^post1 <= 0), cost: 1 propagated equality a^post12 = a^0 propagated equality sum^post12 = sum^0 propagated equality c^post12 = c^0 propagated equality d^post12 = d^0 propagated equality e^post12 = e^0 propagated equality b^post12 = b^0 Simplified Guard Original rule: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, (0 == 0 /\ 1-sum^post1 <= 0), cost: 1 New rule: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 Propagated Equalities Original rule: l1 -> l1 : a^0'=a^post3, b^0'=b^post3, c^0'=c^post3, d^0'=d^post3, e^0'=e^post3, sum^0'=sum^post3, (-c^post3+c^post2 == 0 /\ -a^0+a^post2+e^post2 == 0 /\ sum^0-sum^post2 == 0 /\ sum^post2-sum^post3 == 0 /\ 1+e^0 <= 0 /\ -d^0+d^post2+e^post2 == 0 /\ -a^post3+a^post2 == 0 /\ -e^post3+e^post2 == 0 /\ e^0+e^post2 == 0 /\ c^0-c^post2 == 0 /\ -b^post3+b^post2 == 0 /\ -d^post3+d^post2 == 0 /\ b^0-b^post2 == 0), cost: 1 New rule: l1 -> l1 : a^0'=a^post2, b^0'=b^post2, c^0'=c^post2, d^0'=d^post2, e^0'=e^post2, sum^0'=sum^post2, (0 == 0 /\ -a^0+a^post2+e^post2 == 0 /\ sum^0-sum^post2 == 0 /\ 1+e^0 <= 0 /\ -d^0+d^post2+e^post2 == 0 /\ e^0+e^post2 == 0 /\ c^0-c^post2 == 0 /\ b^0-b^post2 == 0), cost: 1 propagated equality c^post3 = c^post2 propagated equality sum^post3 = sum^post2 propagated equality a^post3 = a^post2 propagated equality e^post3 = e^post2 propagated equality b^post3 = b^post2 propagated equality d^post3 = d^post2 Propagated Equalities Original rule: l1 -> l1 : a^0'=a^post2, b^0'=b^post2, c^0'=c^post2, d^0'=d^post2, e^0'=e^post2, sum^0'=sum^post2, (0 == 0 /\ -a^0+a^post2+e^post2 == 0 /\ sum^0-sum^post2 == 0 /\ 1+e^0 <= 0 /\ -d^0+d^post2+e^post2 == 0 /\ e^0+e^post2 == 0 /\ c^0-c^post2 == 0 /\ b^0-b^post2 == 0), cost: 1 New rule: l1 -> l1 : a^0'=a^0+e^0, b^0'=b^0, c^0'=c^0, d^0'=d^0+e^0, e^0'=-e^0, sum^0'=sum^0, (0 == 0 /\ 1+e^0 <= 0), cost: 1 propagated equality a^post2 = a^0-e^post2 propagated equality sum^post2 = sum^0 propagated equality d^post2 = d^0-e^post2 propagated equality e^post2 = -e^0 propagated equality c^post2 = c^0 propagated equality b^post2 = b^0 Simplified Guard Original rule: l1 -> l1 : a^0'=a^0+e^0, b^0'=b^0, c^0'=c^0, d^0'=d^0+e^0, e^0'=-e^0, sum^0'=sum^0, (0 == 0 /\ 1+e^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=a^0+e^0, b^0'=b^0, c^0'=c^0, d^0'=d^0+e^0, e^0'=-e^0, sum^0'=sum^0, 1+e^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l1 -> l1 : a^0'=a^0+e^0, b^0'=b^0, c^0'=c^0, d^0'=d^0+e^0, e^0'=-e^0, sum^0'=sum^0, 1+e^0 <= 0, cost: 1 New rule: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 Propagated Equalities Original rule: l1 -> l1 : a^0'=a^post5, b^0'=b^post5, c^0'=c^post5, d^0'=d^post5, e^0'=e^post5, sum^0'=sum^post5, (-sum^post5+sum^post4 == 0 /\ 1+d^0 <= 0 /\ -a^post4+a^0 == 0 /\ -d^post5+d^post4 == 0 /\ -c^0+d^post4+c^post4 == 0 /\ -c^post5+c^post4 == 0 /\ d^post4+e^post4-e^0 == 0 /\ -e^post5+e^post4 == 0 /\ -b^post5+b^post4 == 0 /\ -b^post4+b^0 == 0 /\ sum^0-sum^post4 == 0 /\ -a^post5+a^post4 == 0 /\ d^post4+d^0 == 0), cost: 1 New rule: l1 -> l1 : a^0'=a^post4, b^0'=b^post4, c^0'=c^post4, d^0'=d^post4, e^0'=e^post4, sum^0'=sum^post4, (0 == 0 /\ 1+d^0 <= 0 /\ -a^post4+a^0 == 0 /\ -c^0+d^post4+c^post4 == 0 /\ d^post4+e^post4-e^0 == 0 /\ -b^post4+b^0 == 0 /\ sum^0-sum^post4 == 0 /\ d^post4+d^0 == 0), cost: 1 propagated equality sum^post5 = sum^post4 propagated equality d^post5 = d^post4 propagated equality c^post5 = c^post4 propagated equality e^post5 = e^post4 propagated equality b^post5 = b^post4 propagated equality a^post5 = a^post4 Propagated Equalities Original rule: l1 -> l1 : a^0'=a^post4, b^0'=b^post4, c^0'=c^post4, d^0'=d^post4, e^0'=e^post4, sum^0'=sum^post4, (0 == 0 /\ 1+d^0 <= 0 /\ -a^post4+a^0 == 0 /\ -c^0+d^post4+c^post4 == 0 /\ d^post4+e^post4-e^0 == 0 /\ -b^post4+b^0 == 0 /\ sum^0-sum^post4 == 0 /\ d^post4+d^0 == 0), cost: 1 New rule: l1 -> l1 : a^0'=a^0, b^0'=b^0, c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, sum^0'=sum^0, (0 == 0 /\ 1+d^0 <= 0), cost: 1 propagated equality a^post4 = a^0 propagated equality c^post4 = c^0-d^post4 propagated equality d^post4 = -e^post4+e^0 propagated equality b^post4 = b^0 propagated equality sum^post4 = sum^0 propagated equality e^post4 = d^0+e^0 Simplified Guard Original rule: l1 -> l1 : a^0'=a^0, b^0'=b^0, c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, sum^0'=sum^0, (0 == 0 /\ 1+d^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=a^0, b^0'=b^0, c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, sum^0'=sum^0, 1+d^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l1 -> l1 : a^0'=a^0, b^0'=b^0, c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, sum^0'=sum^0, 1+d^0 <= 0, cost: 1 New rule: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 Propagated Equalities Original rule: l1 -> l1 : a^0'=a^post7, b^0'=b^post7, c^0'=c^post7, d^0'=d^post7, e^0'=e^post7, sum^0'=sum^post7, (sum^0-sum^post6 == 0 /\ -e^post7+e^post6 == 0 /\ -b^post7+b^post6 == 0 /\ c^0+c^post6 == 0 /\ -c^post7+c^post6 == 0 /\ -a^post7+a^post6 == 0 /\ 1+c^0 <= 0 /\ a^0-a^post6 == 0 /\ -e^post6+e^0 == 0 /\ -d^post7+d^post6 == 0 /\ b^post6+c^post6-b^0 == 0 /\ -d^0+c^post6+d^post6 == 0 /\ -sum^post7+sum^post6 == 0), cost: 1 New rule: l1 -> l1 : a^0'=a^post6, b^0'=b^post6, c^0'=c^post6, d^0'=d^post6, e^0'=e^post6, sum^0'=sum^post6, (0 == 0 /\ sum^0-sum^post6 == 0 /\ c^0+c^post6 == 0 /\ 1+c^0 <= 0 /\ a^0-a^post6 == 0 /\ -e^post6+e^0 == 0 /\ b^post6+c^post6-b^0 == 0 /\ -d^0+c^post6+d^post6 == 0), cost: 1 propagated equality e^post7 = e^post6 propagated equality b^post7 = b^post6 propagated equality c^post7 = c^post6 propagated equality a^post7 = a^post6 propagated equality d^post7 = d^post6 propagated equality sum^post7 = sum^post6 Propagated Equalities Original rule: l1 -> l1 : a^0'=a^post6, b^0'=b^post6, c^0'=c^post6, d^0'=d^post6, e^0'=e^post6, sum^0'=sum^post6, (0 == 0 /\ sum^0-sum^post6 == 0 /\ c^0+c^post6 == 0 /\ 1+c^0 <= 0 /\ a^0-a^post6 == 0 /\ -e^post6+e^0 == 0 /\ b^post6+c^post6-b^0 == 0 /\ -d^0+c^post6+d^post6 == 0), cost: 1 New rule: l1 -> l1 : a^0'=a^0, b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, e^0'=e^0, sum^0'=sum^0, (0 == 0 /\ 1+c^0 <= 0), cost: 1 propagated equality sum^post6 = sum^0 propagated equality c^post6 = -c^0 propagated equality a^post6 = a^0 propagated equality e^post6 = e^0 propagated equality b^post6 = c^0+b^0 propagated equality d^post6 = c^0+d^0 Simplified Guard Original rule: l1 -> l1 : a^0'=a^0, b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, e^0'=e^0, sum^0'=sum^0, (0 == 0 /\ 1+c^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=a^0, b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, e^0'=e^0, sum^0'=sum^0, 1+c^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l1 -> l1 : a^0'=a^0, b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, e^0'=e^0, sum^0'=sum^0, 1+c^0 <= 0, cost: 1 New rule: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 Propagated Equalities Original rule: l1 -> l1 : a^0'=a^post9, b^0'=b^post9, c^0'=c^post9, d^0'=d^post9, e^0'=e^post9, sum^0'=sum^post9, (e^post8-e^post9 == 0 /\ sum^post8-sum^post9 == 0 /\ b^post8-c^0+c^post8 == 0 /\ b^post8+b^0 == 0 /\ 1+b^0 <= 0 /\ d^post8-d^post9 == 0 /\ sum^0-sum^post8 == 0 /\ a^post8-a^post9 == 0 /\ -e^post8+e^0 == 0 /\ b^post8-b^post9 == 0 /\ d^0-d^post8 == 0 /\ c^post8-c^post9 == 0 /\ b^post8-a^0+a^post8 == 0), cost: 1 New rule: l1 -> l1 : a^0'=a^post8, b^0'=b^post8, c^0'=c^post8, d^0'=d^post8, e^0'=e^post8, sum^0'=sum^post8, (0 == 0 /\ b^post8-c^0+c^post8 == 0 /\ b^post8+b^0 == 0 /\ 1+b^0 <= 0 /\ sum^0-sum^post8 == 0 /\ -e^post8+e^0 == 0 /\ d^0-d^post8 == 0 /\ b^post8-a^0+a^post8 == 0), cost: 1 propagated equality e^post9 = e^post8 propagated equality sum^post9 = sum^post8 propagated equality d^post9 = d^post8 propagated equality a^post9 = a^post8 propagated equality b^post9 = b^post8 propagated equality c^post9 = c^post8 Propagated Equalities Original rule: l1 -> l1 : a^0'=a^post8, b^0'=b^post8, c^0'=c^post8, d^0'=d^post8, e^0'=e^post8, sum^0'=sum^post8, (0 == 0 /\ b^post8-c^0+c^post8 == 0 /\ b^post8+b^0 == 0 /\ 1+b^0 <= 0 /\ sum^0-sum^post8 == 0 /\ -e^post8+e^0 == 0 /\ d^0-d^post8 == 0 /\ b^post8-a^0+a^post8 == 0), cost: 1 New rule: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, d^0'=d^0, e^0'=e^0, sum^0'=sum^0, (0 == 0 /\ 1+b^0 <= 0), cost: 1 propagated equality b^post8 = c^0-c^post8 propagated equality c^post8 = c^0+b^0 propagated equality sum^post8 = sum^0 propagated equality e^post8 = e^0 propagated equality d^post8 = d^0 propagated equality a^post8 = a^0+b^0 Simplified Guard Original rule: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, d^0'=d^0, e^0'=e^0, sum^0'=sum^0, (0 == 0 /\ 1+b^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, d^0'=d^0, e^0'=e^0, sum^0'=sum^0, 1+b^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, d^0'=d^0, e^0'=e^0, sum^0'=sum^0, 1+b^0 <= 0, cost: 1 New rule: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 Propagated Equalities Original rule: l1 -> l1 : a^0'=a^post11, b^0'=b^post11, c^0'=c^post11, d^0'=d^post11, e^0'=e^post11, sum^0'=sum^post11, (e^post10-e^0+a^post10 == 0 /\ c^0-c^post10 == 0 /\ a^0+a^post10 == 0 /\ b^post10-b^post11 == 0 /\ -e^post11+e^post10 == 0 /\ -d^post11+d^post10 == 0 /\ -a^post11+a^post10 == 0 /\ b^post10+a^post10-b^0 == 0 /\ sum^0-sum^post10 == 0 /\ 1+a^0 <= 0 /\ -sum^post11+sum^post10 == 0 /\ d^0-d^post10 == 0 /\ -c^post11+c^post10 == 0), cost: 1 New rule: l1 -> l1 : a^0'=a^post10, b^0'=b^post10, c^0'=c^post10, d^0'=d^post10, e^0'=e^post10, sum^0'=sum^post10, (0 == 0 /\ e^post10-e^0+a^post10 == 0 /\ c^0-c^post10 == 0 /\ a^0+a^post10 == 0 /\ b^post10+a^post10-b^0 == 0 /\ sum^0-sum^post10 == 0 /\ 1+a^0 <= 0 /\ d^0-d^post10 == 0), cost: 1 propagated equality b^post11 = b^post10 propagated equality e^post11 = e^post10 propagated equality d^post11 = d^post10 propagated equality a^post11 = a^post10 propagated equality sum^post11 = sum^post10 propagated equality c^post11 = c^post10 Propagated Equalities Original rule: l1 -> l1 : a^0'=a^post10, b^0'=b^post10, c^0'=c^post10, d^0'=d^post10, e^0'=e^post10, sum^0'=sum^post10, (0 == 0 /\ e^post10-e^0+a^post10 == 0 /\ c^0-c^post10 == 0 /\ a^0+a^post10 == 0 /\ b^post10+a^post10-b^0 == 0 /\ sum^0-sum^post10 == 0 /\ 1+a^0 <= 0 /\ d^0-d^post10 == 0), cost: 1 New rule: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, c^0'=c^0, d^0'=d^0, e^0'=a^0+e^0, sum^0'=sum^0, (0 == 0 /\ 1+a^0 <= 0), cost: 1 propagated equality a^post10 = -e^post10+e^0 propagated equality c^post10 = c^0 propagated equality e^post10 = a^0+e^0 propagated equality b^post10 = a^0+b^0 propagated equality sum^post10 = sum^0 propagated equality d^post10 = d^0 Simplified Guard Original rule: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, c^0'=c^0, d^0'=d^0, e^0'=a^0+e^0, sum^0'=sum^0, (0 == 0 /\ 1+a^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, c^0'=c^0, d^0'=d^0, e^0'=a^0+e^0, sum^0'=sum^0, 1+a^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, c^0'=c^0, d^0'=d^0, e^0'=a^0+e^0, sum^0'=sum^0, 1+a^0 <= 0, cost: 1 New rule: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 Unrolled Loops Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 19: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 20: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 21: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 22: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 23: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 24: l1 -> l1 : (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 25: l1 -> l1 : (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 26: l1 -> l1 : (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 27: l1 -> l1 : (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 28: l1 -> l1 : (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 18: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 Unrolling Original rule: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 New rule: l1 -> l1 : a^0'=a^0, d^0'=d^0, e^0'=e^0, (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 Removed Trivial Updates Original rule: l1 -> l1 : a^0'=a^0, d^0'=d^0, e^0'=e^0, (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 New rule: l1 -> l1 : (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 Unrolling Original rule: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 New rule: l1 -> l1 : c^0'=c^0, d^0'=d^0, e^0'=e^0, (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 Removed Trivial Updates Original rule: l1 -> l1 : c^0'=c^0, d^0'=d^0, e^0'=e^0, (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 New rule: l1 -> l1 : (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 Unrolling Original rule: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 New rule: l1 -> l1 : b^0'=b^0, c^0'=c^0, d^0'=d^0, (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 Removed Trivial Updates Original rule: l1 -> l1 : b^0'=b^0, c^0'=c^0, d^0'=d^0, (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 New rule: l1 -> l1 : (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 Unrolling Original rule: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 New rule: l1 -> l1 : a^0'=a^0, b^0'=b^0, c^0'=c^0, (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 Removed Trivial Updates Original rule: l1 -> l1 : a^0'=a^0, b^0'=b^0, c^0'=c^0, (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 New rule: l1 -> l1 : (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 Unrolling Original rule: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 New rule: l1 -> l1 : a^0'=a^0, b^0'=b^0, e^0'=e^0, (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 Removed Trivial Updates Original rule: l1 -> l1 : a^0'=a^0, b^0'=b^0, e^0'=e^0, (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 New rule: l1 -> l1 : (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 Step with 18 Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {}] Step with 19 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {}, {}] Acceleration Failed marked recursive suffix as redundant Step with 20 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {}, {19[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Step with 21 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 20[(1+d^0 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {}, {19[T]}, {20[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Step with 22 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 20[(1+d^0 <= 0)], 21[(1+c^0 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {}, {19[T]}, {20[T]}, {21[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Restart Step with 18 Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {}] Step with 21 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {}, {}] Step with 20 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {}, {21[T], 26[T]}, {}] Acceleration Failed marked recursive suffix as redundant Step with 19 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)], 20[(1+d^0 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {}, {21[T], 26[T]}, {20[T], 25[T], 27[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Step with 23 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)], 20[(1+d^0 <= 0)], 19[(1+e^0 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {}, {21[T], 26[T]}, {20[T], 25[T], 27[T]}, {19[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Step with 22 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)], 20[(1+d^0 <= 0)], 19[(1+e^0 <= 0)], 23[(1+a^0 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {}, {21[T], 26[T]}, {20[T], 25[T], 27[T]}, {19[T]}, {23[T], 24[T], 28[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Restart Step with 18 Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {}] Step with 21 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {25[T]}, {}] Step with 19 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {25[T]}, {21[T]}, {}] Acceleration Failed marked recursive suffix as redundant Step with 22 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {25[T]}, {21[T]}, {19[T], 27[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Step with 20 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {25[T]}, {21[T]}, {19[T], 27[T]}, {22[T], 26[T], 28[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Step with 23 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {25[T]}, {21[T]}, {19[T], 27[T]}, {22[T], 26[T], 28[T]}, {20[T], 24[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Accelerate and Drop Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 19: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 20: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 21: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 22: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 23: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 24: l1 -> l1 : (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 25: l1 -> l1 : (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 26: l1 -> l1 : (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 27: l1 -> l1 : (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 28: l1 -> l1 : (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 29: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 18: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 unrolling Original rule: l1 -> l1 : a^0'=-c^0-a^0-e^0-b^0, b^0'=a^0+e^0, c^0'=c^0+d^0+e^0+b^0, d^0'=-c^0-d^0-e^0, e^0'=2*c^0+d^0+a^0+e^0+b^0, (1+c^0+d^0+e^0 <= 0 /\ 1+e^0 <= 0 /\ 1+c^0+a^0+e^0+b^0 <= 0 /\ 1+c^0 <= 0 /\ 1+c^0+b^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0, b^0'=a^0+e^0, c^0'=4*c^0+3*d^0+3*a^0+3*e^0+4*b^0, d^0'=-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0, e^0'=4*c^0+4*d^0+3*a^0+4*e^0+3*b^0, (1+3*c^0+3*d^0+3*a^0+4*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+e^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+2*e^0+b^0 <= 0 /\ 1+4*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+2*e^0+2*b^0 <= 0 /\ 1+e^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+3*e^0+2*b^0 <= 0 /\ 1+c^0+a^0+e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0 <= 0 /\ 1+c^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+2*e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+3*e^0+2*b^0 <= 0), cost: 1 Certificate of Non-Termination Original rule: l1 -> l1 : a^0'=-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0, b^0'=a^0+e^0, c^0'=4*c^0+3*d^0+3*a^0+3*e^0+4*b^0, d^0'=-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0, e^0'=4*c^0+4*d^0+3*a^0+4*e^0+3*b^0, (1+3*c^0+3*d^0+3*a^0+4*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+e^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+2*e^0+b^0 <= 0 /\ 1+4*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+2*e^0+2*b^0 <= 0 /\ 1+e^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+3*e^0+2*b^0 <= 0 /\ 1+c^0+a^0+e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0 <= 0 /\ 1+c^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+2*e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+3*e^0+2*b^0 <= 0), cost: 1 New rule: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM -1-c^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-e^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-c^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-e^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-c^0-d^0-e^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0) Replacement map: {-1-c^0-b^0 >= 0 -> (-1-c^0-b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 -> (-1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-e^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-e^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-c^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-e^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-c^0-d^0-e^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0-a^0-e^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0)} Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {21[T], 25[T]}] Step with 19 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {21[T], 25[T]}, {}] Step with 22 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {21[T], 25[T]}, {19[T], 27[T], 29[T]}, {}] Step with 20 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {21[T], 25[T]}, {19[T], 27[T], 29[T]}, {22[T], 26[T], 28[T], 29[T]}, {}] Step with 23 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {21[T], 25[T]}, {19[T], 27[T], 29[T]}, {22[T], 26[T], 28[T], 29[T]}, {20[T], 24[T], 29[T]}, {}] Step with 21 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {21[T], 25[T]}, {19[T], 27[T], 29[T]}, {22[T], 26[T], 28[T], 29[T]}, {20[T], 24[T], 29[T]}, {23[T], 25[T], 29[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Accelerate and Drop Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 19: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 20: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 21: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 22: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 23: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 24: l1 -> l1 : (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 25: l1 -> l1 : (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 26: l1 -> l1 : (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 27: l1 -> l1 : (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 28: l1 -> l1 : (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 29: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 30: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 18: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 unrolling Original rule: l1 -> l1 : a^0'=-a^0-e^0-b^0, b^0'=c^0+d^0+a^0+2*e^0+b^0, c^0'=-c^0-d^0-e^0-b^0, d^0'=c^0+b^0, e^0'=d^0+a^0+e^0+b^0, (1+e^0 <= 0 /\ 1+b^0 <= 0 /\ 1+c^0+d^0+e^0+b^0 <= 0 /\ 1+a^0+e^0+b^0 <= 0 /\ 1+d^0+e^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0, b^0'=3*c^0+3*d^0+4*a^0+4*e^0+4*b^0, c^0'=-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0, d^0'=c^0+b^0, e^0'=3*c^0+4*d^0+3*a^0+4*e^0+3*b^0, (1+c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+4*e^0+3*b^0 <= 0 /\ 1+c^0+2*d^0+a^0+2*e^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+4*b^0 <= 0 /\ 1+d^0+a^0+e^0+b^0 <= 0 /\ 1+2*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+2*e^0+2*b^0 <= 0 /\ 1+e^0 <= 0 /\ 1+b^0 <= 0 /\ 1+c^0+d^0+a^0+2*e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+2*c^0+3*d^0+2*a^0+3*e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+e^0+b^0 <= 0 /\ 1+a^0+e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+3*e^0+2*b^0 <= 0 /\ 1+d^0+e^0 <= 0), cost: 1 Certificate of Non-Termination Original rule: l1 -> l1 : a^0'=-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0, b^0'=3*c^0+3*d^0+4*a^0+4*e^0+4*b^0, c^0'=-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0, d^0'=c^0+b^0, e^0'=3*c^0+4*d^0+3*a^0+4*e^0+3*b^0, (1+c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+4*e^0+3*b^0 <= 0 /\ 1+c^0+2*d^0+a^0+2*e^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+4*b^0 <= 0 /\ 1+d^0+a^0+e^0+b^0 <= 0 /\ 1+2*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+2*e^0+2*b^0 <= 0 /\ 1+e^0 <= 0 /\ 1+b^0 <= 0 /\ 1+c^0+d^0+a^0+2*e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+2*c^0+3*d^0+2*a^0+3*e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+e^0+b^0 <= 0 /\ 1+a^0+e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+3*e^0+2*b^0 <= 0 /\ 1+d^0+e^0 <= 0), cost: 1 New rule: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), cost: NONTERM -1-c^0-d^0-a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-e^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-e^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-d^0-e^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-d^0-e^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) Replacement map: {-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 -> (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 -> (-1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 -> (-1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-e^0-b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-e^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-e^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-a^0-e^0-b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-d^0-e^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-d^0-e^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-d^0-a^0-e^0-b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0)} Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {19[T], 21[T], 25[T]}] Step with 22 Trace 18[(1-sum^post1 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {19[T], 21[T], 25[T], 27[T]}, {}] Step with 20 Trace 18[(1-sum^post1 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {19[T], 21[T], 25[T], 27[T]}, {22[T], 26[T], 28[T], 29[T], 30[T]}, {}] Step with 23 Trace 18[(1-sum^post1 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {19[T], 21[T], 25[T], 27[T]}, {22[T], 26[T], 28[T], 29[T], 30[T]}, {20[T], 24[T], 29[T], 30[T]}, {}] Step with 21 Trace 18[(1-sum^post1 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {19[T], 21[T], 25[T], 27[T]}, {22[T], 26[T], 28[T], 29[T], 30[T]}, {20[T], 24[T], 29[T], 30[T]}, {23[T], 25[T], 29[T], 30[T]}, {}] Step with 19 Trace 18[(1-sum^post1 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {19[T], 21[T], 25[T], 27[T]}, {22[T], 26[T], 28[T], 29[T], 30[T]}, {20[T], 24[T], 29[T], 30[T]}, {23[T], 25[T], 29[T], 30[T]}, {21[T], 29[T], 30[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Accelerate and Drop Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 19: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 20: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 21: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 22: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 23: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 24: l1 -> l1 : (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 25: l1 -> l1 : (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 26: l1 -> l1 : (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 27: l1 -> l1 : (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 28: l1 -> l1 : (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 29: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 30: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 31: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-a^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 18: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 unrolling Original rule: l1 -> l1 : a^0'=d^0+e^0, b^0'=c^0+d^0+a^0+b^0, c^0'=-c^0-d^0-b^0, d^0'=c^0+d^0+a^0+e^0+2*b^0, e^0'=-d^0-a^0-e^0-b^0, (1+a^0+b^0 <= 0 /\ 1+c^0+d^0+b^0 <= 0 /\ 1+d^0+a^0+e^0+b^0 <= 0 /\ 1+d^0 <= 0 /\ 1+b^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=d^0+e^0, b^0'=3*c^0+3*d^0+4*a^0+3*e^0+4*b^0, c^0'=-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0, d^0'=4*c^0+4*d^0+3*a^0+3*e^0+4*b^0, e^0'=-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0, (1+a^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+4*b^0 <= 0 /\ 1+c^0+d^0+b^0 <= 0 /\ 1+3*c^0+4*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+d^0+a^0+e^0+b^0 <= 0 /\ 1+d^0 <= 0 /\ 1+2*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+c^0+d^0+a^0+b^0 <= 0 /\ 1+2*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+a^0+e^0+b^0 <= 0), cost: 1 Certificate of Non-Termination Original rule: l1 -> l1 : a^0'=d^0+e^0, b^0'=3*c^0+3*d^0+4*a^0+3*e^0+4*b^0, c^0'=-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0, d^0'=4*c^0+4*d^0+3*a^0+3*e^0+4*b^0, e^0'=-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0, (1+a^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+4*b^0 <= 0 /\ 1+c^0+d^0+b^0 <= 0 /\ 1+3*c^0+4*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+d^0+a^0+e^0+b^0 <= 0 /\ 1+d^0 <= 0 /\ 1+2*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+c^0+d^0+a^0+b^0 <= 0 /\ 1+2*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+a^0+e^0+b^0 <= 0), cost: 1 New rule: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-a^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM -1-c^0-d^0-a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-d^0 >= 0 [0]: fixpoint yields (-1-d^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-a^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-a^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-b^0 >= 0 [0]: fixpoint yields (-1-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-a^0-b^0 >= 0 [0]: fixpoint yields (-1-a^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) Replacement map: {-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 -> (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 -> (-1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 -> (-1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-d^0 >= 0 -> (-1-d^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-a^0-b^0 >= 0 -> (-1-c^0-d^0-a^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 -> (-1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-b^0 >= 0 -> (-1-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 -> (-1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-a^0-b^0 >= 0 -> (-1-a^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 -> (-1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-b^0 >= 0 -> (-1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-d^0-a^0-e^0-b^0 >= 0 -> (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 -> (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 -> (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 -> (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 -> (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0)} Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {19[T], 21[T], 22[T], 25[T], 27[T]}] Step with 20 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {19[T], 21[T], 22[T], 25[T], 26[T], 27[T], 28[T]}, {}] Step with 23 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {19[T], 21[T], 22[T], 25[T], 26[T], 27[T], 28[T]}, {20[T], 24[T], 29[T], 30[T], 31[T]}, {}] Step with 21 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {19[T], 21[T], 22[T], 25[T], 26[T], 27[T], 28[T]}, {20[T], 24[T], 29[T], 30[T], 31[T]}, {23[T], 25[T], 29[T], 30[T], 31[T]}, {}] Step with 19 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {19[T], 21[T], 22[T], 25[T], 26[T], 27[T], 28[T]}, {20[T], 24[T], 29[T], 30[T], 31[T]}, {23[T], 25[T], 29[T], 30[T], 31[T]}, {21[T], 29[T], 30[T], 31[T]}, {}] Step with 22 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {19[T], 21[T], 22[T], 25[T], 26[T], 27[T], 28[T]}, {20[T], 24[T], 29[T], 30[T], 31[T]}, {23[T], 25[T], 29[T], 30[T], 31[T]}, {21[T], 29[T], 30[T], 31[T]}, {19[T], 27[T], 29[T], 30[T], 31[T]}, {}] Acceleration Failed marked recursive suffix as redundant Accelerate and Drop Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 19: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 20: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 21: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 22: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 23: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 24: l1 -> l1 : (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 25: l1 -> l1 : (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 26: l1 -> l1 : (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 27: l1 -> l1 : (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 28: l1 -> l1 : (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 29: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 30: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 31: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-a^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 32: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 18: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 unrolling Original rule: l1 -> l1 : a^0'=c^0+2*d^0+a^0+e^0+b^0, b^0'=-c^0-d^0-a^0-b^0, c^0'=a^0+b^0, d^0'=c^0+d^0+a^0+e^0, e^0'=-d^0-a^0-e^0, (1+d^0 <= 0 /\ 1+d^0+a^0+e^0 <= 0 /\ 1+a^0 <= 0 /\ 1+c^0+d^0 <= 0 /\ 1+c^0+d^0+a^0+b^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=3*c^0+4*d^0+4*a^0+4*e^0+3*b^0, b^0'=-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0, c^0'=a^0+b^0, d^0'=4*c^0+4*d^0+3*a^0+3*e^0+3*b^0, e^0'=-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0, (1+3*c^0+3*d^0+4*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+3*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+3*c^0+4*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+d^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+2*e^0+2*b^0 <= 0 /\ 1+d^0+a^0+e^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+e^0+b^0 <= 0 /\ 1+a^0 <= 0 /\ 1+c^0+d^0 <= 0 /\ 1+c^0+2*d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+e^0+b^0 <= 0 /\ 1+2*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+a^0+e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+e^0 <= 0), cost: 1 Certificate of Non-Termination Original rule: l1 -> l1 : a^0'=3*c^0+4*d^0+4*a^0+4*e^0+3*b^0, b^0'=-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0, c^0'=a^0+b^0, d^0'=4*c^0+4*d^0+3*a^0+3*e^0+3*b^0, e^0'=-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0, (1+3*c^0+3*d^0+4*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+3*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+3*c^0+4*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+d^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+2*e^0+2*b^0 <= 0 /\ 1+d^0+a^0+e^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+e^0+b^0 <= 0 /\ 1+a^0 <= 0 /\ 1+c^0+d^0 <= 0 /\ 1+c^0+2*d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+e^0+b^0 <= 0 /\ 1+2*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+a^0+e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+e^0 <= 0), cost: 1 New rule: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM -1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-d^0 >= 0 [0]: fixpoint yields (-1-d^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-a^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-a^0-e^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-a^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-a^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-d^0-a^0-e^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-d^0-a^0-e^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) Replacement map: {-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 -> (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 -> (-1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-d^0 >= 0 -> (-1-d^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 -> (-1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 -> (-1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-a^0-b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-a^0-e^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-a^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-a^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-d^0-a^0-e^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-d^0-a^0-e^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0)} Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {19[T], 20[T], 21[T], 22[T], 25[T], 26[T], 27[T], 28[T]}] Step with 23 Trace 18[(1-sum^post1 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {19[T], 20[T], 21[T], 22[T], 24[T], 25[T], 26[T], 27[T], 28[T]}, {}] Step with 21 Trace 18[(1-sum^post1 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {19[T], 20[T], 21[T], 22[T], 24[T], 25[T], 26[T], 27[T], 28[T]}, {23[T], 25[T], 29[T], 30[T], 31[T], 32[T]}, {}] Step with 19 Trace 18[(1-sum^post1 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {19[T], 20[T], 21[T], 22[T], 24[T], 25[T], 26[T], 27[T], 28[T]}, {23[T], 25[T], 29[T], 30[T], 31[T], 32[T]}, {21[T], 29[T], 30[T], 31[T], 32[T]}, {}] Step with 22 Trace 18[(1-sum^post1 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {19[T], 20[T], 21[T], 22[T], 24[T], 25[T], 26[T], 27[T], 28[T]}, {23[T], 25[T], 29[T], 30[T], 31[T], 32[T]}, {21[T], 29[T], 30[T], 31[T], 32[T]}, {19[T], 27[T], 29[T], 30[T], 31[T], 32[T]}, {}] Step with 20 Trace 18[(1-sum^post1 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {19[T], 20[T], 21[T], 22[T], 24[T], 25[T], 26[T], 27[T], 28[T]}, {23[T], 25[T], 29[T], 30[T], 31[T], 32[T]}, {21[T], 29[T], 30[T], 31[T], 32[T]}, {19[T], 27[T], 29[T], 30[T], 31[T], 32[T]}, {22[T], 26[T], 28[T], 29[T], 30[T], 31[T], 32[T]}, {}] Accelerate and Drop Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 19: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 20: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 21: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 22: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 23: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 24: l1 -> l1 : (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 25: l1 -> l1 : (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 26: l1 -> l1 : (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 27: l1 -> l1 : (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 28: l1 -> l1 : (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 29: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 30: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 31: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-a^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 32: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 33: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM 18: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 unrolling Original rule: l1 -> l1 : a^0'=c^0+a^0+e^0+b^0, b^0'=-c^0-a^0-b^0, c^0'=c^0+d^0+2*a^0+e^0+b^0, d^0'=-c^0-d^0-a^0-e^0, e^0'=c^0+d^0, (1+a^0+e^0 <= 0 /\ 1+c^0 <= 0 /\ 1+a^0 <= 0 /\ 1+c^0+a^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+e^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=3*c^0+3*d^0+4*a^0+4*e^0+3*b^0, b^0'=-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0, c^0'=4*c^0+3*d^0+4*a^0+3*e^0+4*b^0, d^0'=-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0, e^0'=c^0+d^0, (1+3*c^0+3*d^0+4*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+a^0+e^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+2*e^0+2*b^0 <= 0 /\ 1+4*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+c^0+a^0+e^0+b^0 <= 0 /\ 1+c^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+e^0+b^0 <= 0 /\ 1+a^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0+a^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+c^0+d^0+a^0+e^0 <= 0), cost: 1 Certificate of Non-Termination Original rule: l1 -> l1 : a^0'=3*c^0+3*d^0+4*a^0+4*e^0+3*b^0, b^0'=-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0, c^0'=4*c^0+3*d^0+4*a^0+3*e^0+4*b^0, d^0'=-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0, e^0'=c^0+d^0, (1+3*c^0+3*d^0+4*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+a^0+e^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+2*e^0+2*b^0 <= 0 /\ 1+4*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+c^0+a^0+e^0+b^0 <= 0 /\ 1+c^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+e^0+b^0 <= 0 /\ 1+a^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0+a^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+c^0+d^0+a^0+e^0 <= 0), cost: 1 New rule: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM -1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-a^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-a^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-d^0-a^0-e^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-a^0-e^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0 >= 0 [0]: fixpoint yields (-1-c^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-a^0-e^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-a^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0) -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0) Replacement map: {-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 -> (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 -> (-1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 -> (-1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-a^0-b^0 >= 0 -> (-1-c^0-a^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 -> (-1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 -> (-1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-d^0-a^0-e^0 >= 0 -> (-1-c^0-d^0-a^0-e^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0 >= 0 -> (-1-c^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-a^0-e^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-a^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-a^0-e^0-b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0)} Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {19[T], 20[T], 21[T], 22[T], 23[T], 24[T], 25[T], 26[T], 27[T], 28[T]}] Restart Step with 18 Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {}] Step with 20 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {24[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {}] Step with 23 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {24[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {20[T], 25[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {}] Step with 21 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {24[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {20[T], 25[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {}] Step with 19 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {24[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {20[T], 25[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {}] Step with 22 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {24[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {20[T], 25[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {19[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {}] Covered Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {24[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {20[T], 25[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {19[T], 22[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}] Step with 20 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {24[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {20[T], 25[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {19[T], 22[T], 24[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Step with 23 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {24[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {20[T], 25[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {19[T], 22[T], 24[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {20[T], 25[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Step with 21 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)], 19[(1+e^0 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {24[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {20[T], 25[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {19[T], 22[T], 24[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {20[T], 25[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Restart Step with 18 Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {}] Step with 20 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {}] Step with 19 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {20[T], 24[T], 25[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {}] Step with 22 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {20[T], 24[T], 25[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {19[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {}] Acceleration Failed marked recursive suffix as redundant Step with 23 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {20[T], 24[T], 25[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {19[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {22[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Step with 21 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {20[T], 24[T], 25[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {19[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {22[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Accelerate and Drop Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 19: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 20: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 21: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 22: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 23: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 24: l1 -> l1 : (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 25: l1 -> l1 : (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 26: l1 -> l1 : (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 27: l1 -> l1 : (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 28: l1 -> l1 : (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 29: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 30: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 31: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-a^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 32: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 33: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM 34: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0), cost: NONTERM 18: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 unrolling Original rule: l1 -> l1 : a^0'=-d^0-a^0-e^0-b^0, b^0'=c^0+2*d^0+a^0+e^0+b^0, c^0'=-c^0-d^0-b^0, d^0'=c^0+d^0+e^0+b^0, e^0'=a^0+b^0, (1+c^0+d^0+b^0 <= 0 /\ 1+d^0+a^0+e^0+b^0 <= 0 /\ 1+d^0 <= 0 /\ 1+b^0 <= 0 /\ 1+d^0+e^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0, b^0'=4*c^0+4*d^0+3*a^0+3*e^0+4*b^0, c^0'=-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0, d^0'=3*c^0+4*d^0+3*a^0+4*e^0+3*b^0, e^0'=a^0+b^0, (1+c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+a^0+2*e^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+4*b^0 <= 0 /\ 1+c^0+d^0+b^0 <= 0 /\ 1+3*c^0+4*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+d^0+a^0+e^0+b^0 <= 0 /\ 1+d^0 <= 0 /\ 1+2*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+2*e^0+2*b^0 <= 0 /\ 1+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+e^0+2*b^0 <= 0 /\ 1+2*c^0+3*d^0+2*a^0+3*e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+e^0+b^0 <= 0 /\ 1+2*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+a^0+e^0+b^0 <= 0 /\ 1+d^0+e^0 <= 0), cost: 1 Certificate of Non-Termination Original rule: l1 -> l1 : a^0'=-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0, b^0'=4*c^0+4*d^0+3*a^0+3*e^0+4*b^0, c^0'=-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0, d^0'=3*c^0+4*d^0+3*a^0+4*e^0+3*b^0, e^0'=a^0+b^0, (1+c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+a^0+2*e^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+4*b^0 <= 0 /\ 1+c^0+d^0+b^0 <= 0 /\ 1+3*c^0+4*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+d^0+a^0+e^0+b^0 <= 0 /\ 1+d^0 <= 0 /\ 1+2*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+2*e^0+2*b^0 <= 0 /\ 1+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+e^0+2*b^0 <= 0 /\ 1+2*c^0+3*d^0+2*a^0+3*e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+e^0+b^0 <= 0 /\ 1+2*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+a^0+e^0+b^0 <= 0 /\ 1+d^0+e^0 <= 0), cost: 1 New rule: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0), cost: NONTERM -1-c^0-d^0-a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-d^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-d^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-d^0-e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-d^0-e^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-d^0-e^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-d^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-c^0-d^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0) Replacement map: {-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 -> (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-d^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-d^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-d^0-e^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-d^0-e^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-d^0-e^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-d^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-c^0-d^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-d^0-a^0-e^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0)} Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {20[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}] Step with 19 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {20[T], 24[T], 25[T], 26[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {}] Step with 22 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {20[T], 24[T], 25[T], 26[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {19[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T]}, {}] Step with 23 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {20[T], 24[T], 25[T], 26[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {19[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T]}, {22[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T]}, {}] Step with 21 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {20[T], 24[T], 25[T], 26[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {19[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T]}, {22[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T]}, {}] Step with 20 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 22[(1+b^0 <= 0)], 23[(1+a^0 <= 0)], 21[(1+c^0 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {20[T], 24[T], 25[T], 26[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}, {19[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T]}, {22[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T]}, {21[T], 27[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Accelerate and Drop Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 19: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 20: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 21: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 22: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 23: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 24: l1 -> l1 : (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 25: l1 -> l1 : (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 26: l1 -> l1 : (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 27: l1 -> l1 : (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 28: l1 -> l1 : (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 29: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 30: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 31: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-a^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 32: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 33: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM 34: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0), cost: NONTERM 35: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 18: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 unrolling Original rule: l1 -> l1 : a^0'=-a^0-e^0-b^0, b^0'=c^0+a^0+e^0+b^0, c^0'=d^0+e^0, d^0'=-c^0-d^0-e^0-b^0, e^0'=c^0+d^0+a^0+e^0+2*b^0, (1+e^0 <= 0 /\ 1+b^0 <= 0 /\ 1+c^0+b^0 <= 0 /\ 1+c^0+d^0+e^0+b^0 <= 0 /\ 1+a^0+e^0+b^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0, b^0'=4*c^0+3*d^0+3*a^0+3*e^0+4*b^0, c^0'=d^0+e^0, d^0'=-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0, e^0'=3*c^0+3*d^0+4*a^0+4*e^0+4*b^0, (1+c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+4*e^0+3*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+4*b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+2*e^0+2*b^0 <= 0 /\ 1+e^0 <= 0 /\ 1+b^0 <= 0 /\ 1+c^0+a^0+e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+2*e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+e^0+b^0 <= 0 /\ 1+a^0+e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+3*e^0+2*b^0 <= 0), cost: 1 Certificate of Non-Termination Original rule: l1 -> l1 : a^0'=-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0, b^0'=4*c^0+3*d^0+3*a^0+3*e^0+4*b^0, c^0'=d^0+e^0, d^0'=-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0, e^0'=3*c^0+3*d^0+4*a^0+4*e^0+4*b^0, (1+c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+4*e^0+3*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+4*b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+2*e^0+2*b^0 <= 0 /\ 1+e^0 <= 0 /\ 1+b^0 <= 0 /\ 1+c^0+a^0+e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+2*e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+e^0+b^0 <= 0 /\ 1+a^0+e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+3*e^0+2*b^0 <= 0), cost: 1 New rule: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM -1-c^0-d^0-a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-e^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-e^0-b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-e^0 >= 0 [0]: fixpoint yields (-1-e^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-1-a^0-e^0-b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-b^0 >= 0 [0]: fixpoint yields (-1-b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 [0]: fixpoint yields (c^0-d^0-e^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (c^0-d^0-e^0 == 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) Replacement map: {-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 -> (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-b^0 >= 0 -> (-1-c^0-b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 -> (-1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 -> (-1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 -> (-1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-e^0-b^0 >= 0 -> (-1-c^0-d^0-e^0-b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 -> (-1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 -> (-1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-e^0 >= 0 -> (-1-e^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-a^0-e^0-b^0 >= 0 -> (-1-a^0-e^0-b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-b^0 >= 0 -> (-1-b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 -> (-1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 -> (c^0-d^0-e^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (c^0-d^0-e^0 == 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 -> (c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 -> (c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-a^0-e^0-b^0 >= 0 -> (c^0-d^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0)} Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {19[T], 20[T], 24[T], 25[T], 26[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T]}] Restart Step with 18 Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {}] Step with 20 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {}] Step with 23 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {20[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {}] Step with 19 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {20[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Step with 21 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 19[(1+e^0 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {20[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {19[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Step with 22 Trace 18[(1-sum^post1 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 19[(1+e^0 <= 0)], 21[(1+c^0 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {20[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {19[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Accelerate and Drop Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 19: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 20: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 21: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 22: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 23: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 24: l1 -> l1 : (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 25: l1 -> l1 : (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 26: l1 -> l1 : (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 27: l1 -> l1 : (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 28: l1 -> l1 : (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 29: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 30: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 31: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-a^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 32: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 33: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM 34: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0), cost: NONTERM 35: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 36: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 18: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 unrolling Original rule: l1 -> l1 : a^0'=c^0+2*d^0+a^0+e^0+b^0, b^0'=-c^0-d^0-a^0-b^0, c^0'=a^0+b^0, d^0'=c^0+d^0+a^0+e^0, e^0'=-d^0-a^0-e^0, (1+d^0 <= 0 /\ 1+d^0+a^0+e^0 <= 0 /\ 1+a^0 <= 0 /\ 1+c^0+d^0 <= 0 /\ 1+c^0+d^0+a^0+b^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=3*c^0+4*d^0+4*a^0+4*e^0+3*b^0, b^0'=-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0, c^0'=a^0+b^0, d^0'=4*c^0+4*d^0+3*a^0+3*e^0+3*b^0, e^0'=-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0, (1+3*c^0+3*d^0+4*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+3*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+3*c^0+4*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+d^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+2*e^0+2*b^0 <= 0 /\ 1+d^0+a^0+e^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+e^0+b^0 <= 0 /\ 1+a^0 <= 0 /\ 1+c^0+d^0 <= 0 /\ 1+c^0+2*d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+e^0+b^0 <= 0 /\ 1+2*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+a^0+e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+e^0 <= 0), cost: 1 Certificate of Non-Termination Original rule: l1 -> l1 : a^0'=3*c^0+4*d^0+4*a^0+4*e^0+3*b^0, b^0'=-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0, c^0'=a^0+b^0, d^0'=4*c^0+4*d^0+3*a^0+3*e^0+3*b^0, e^0'=-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0, (1+3*c^0+3*d^0+4*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+3*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+3*c^0+4*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+d^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+2*e^0+2*b^0 <= 0 /\ 1+d^0+a^0+e^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+e^0+b^0 <= 0 /\ 1+a^0 <= 0 /\ 1+c^0+d^0 <= 0 /\ 1+c^0+2*d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+e^0+b^0 <= 0 /\ 1+2*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+a^0+e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+e^0 <= 0), cost: 1 New rule: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM -1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-d^0 >= 0 [0]: fixpoint yields (-1-d^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-a^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-a^0-e^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-a^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-a^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-d^0-a^0-e^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-d^0-a^0-e^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) Replacement map: {-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 -> (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 -> (-1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-d^0 >= 0 -> (-1-d^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 -> (-1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 -> (-1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-a^0-b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-a^0-e^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-a^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-a^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-d^0-a^0-e^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-d^0-a^0-e^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ c^0-a^0-b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0)} Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {20[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}] Step with 23 Trace 18[(1-sum^post1 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {20[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {}] Step with 19 Trace 18[(1-sum^post1 <= 0)], 23[(1+a^0 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {20[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T]}, {}] Step with 21 Trace 18[(1-sum^post1 <= 0)], 23[(1+a^0 <= 0)], 19[(1+e^0 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {20[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T]}, {19[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T]}, {}] Step with 22 Trace 18[(1-sum^post1 <= 0)], 23[(1+a^0 <= 0)], 19[(1+e^0 <= 0)], 21[(1+c^0 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {20[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T]}, {19[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T]}, {}] Step with 20 Trace 18[(1-sum^post1 <= 0)], 23[(1+a^0 <= 0)], 19[(1+e^0 <= 0)], 21[(1+c^0 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {20[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T]}, {19[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T]}, {22[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T]}, {}] Acceleration Failed marked recursive suffix as redundant Acceleration Failed marked recursive suffix as redundant Accelerate and Drop Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 19: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 20: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 21: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 22: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 23: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 24: l1 -> l1 : (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 25: l1 -> l1 : (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 26: l1 -> l1 : (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 27: l1 -> l1 : (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 28: l1 -> l1 : (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 29: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 30: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 31: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-a^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 32: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 33: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM 34: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0), cost: NONTERM 35: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 36: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 37: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM 18: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 unrolling Original rule: l1 -> l1 : a^0'=c^0+a^0+e^0+b^0, b^0'=-c^0-a^0-b^0, c^0'=c^0+d^0+2*a^0+e^0+b^0, d^0'=-c^0-d^0-a^0-e^0, e^0'=c^0+d^0, (1+a^0+e^0 <= 0 /\ 1+c^0 <= 0 /\ 1+a^0 <= 0 /\ 1+c^0+a^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+e^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=3*c^0+3*d^0+4*a^0+4*e^0+3*b^0, b^0'=-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0, c^0'=4*c^0+3*d^0+4*a^0+3*e^0+4*b^0, d^0'=-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0, e^0'=c^0+d^0, (1+3*c^0+3*d^0+4*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+a^0+e^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+2*e^0+2*b^0 <= 0 /\ 1+4*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+c^0+a^0+e^0+b^0 <= 0 /\ 1+c^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+e^0+b^0 <= 0 /\ 1+a^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0+a^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+c^0+d^0+a^0+e^0 <= 0), cost: 1 Certificate of Non-Termination Original rule: l1 -> l1 : a^0'=3*c^0+3*d^0+4*a^0+4*e^0+3*b^0, b^0'=-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0, c^0'=4*c^0+3*d^0+4*a^0+3*e^0+4*b^0, d^0'=-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0, e^0'=c^0+d^0, (1+3*c^0+3*d^0+4*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+a^0+e^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+2*e^0+2*b^0 <= 0 /\ 1+4*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+c^0+a^0+e^0+b^0 <= 0 /\ 1+c^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+e^0+b^0 <= 0 /\ 1+a^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0+a^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+c^0+d^0+a^0+e^0 <= 0), cost: 1 New rule: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM -1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-a^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-a^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-d^0-a^0-e^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-a^0-e^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0 >= 0 [0]: fixpoint yields (-1-c^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-a^0-e^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-a^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0) -1-c^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0) -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0) Replacement map: {-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 -> (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 -> (-1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 -> (-1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-a^0-b^0 >= 0 -> (-1-c^0-a^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 -> (-1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 -> (-1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-d^0-a^0-e^0 >= 0 -> (-1-c^0-d^0-a^0-e^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0 >= 0 -> (-1-c^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-a^0-e^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-a^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0), -1-c^0-a^0-e^0-b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0 -> (-3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -c^0-d^0+e^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0)} Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {20[T], 23[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}] Step with 19 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {20[T], 23[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {}] Step with 21 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {20[T], 23[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {19[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T]}, {}] Step with 22 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 21[(1+c^0 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {20[T], 23[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {19[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T]}, {}] Step with 20 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 21[(1+c^0 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {20[T], 23[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {19[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T]}, {22[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T]}, {}] Step with 23 Trace 18[(1-sum^post1 <= 0)], 19[(1+e^0 <= 0)], 21[(1+c^0 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {20[T], 23[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {19[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T]}, {22[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T]}, {20[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T]}, {}] Acceleration Failed marked recursive suffix as redundant Accelerate and Drop Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 19: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 20: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 21: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 22: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 23: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 24: l1 -> l1 : (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 25: l1 -> l1 : (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 26: l1 -> l1 : (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 27: l1 -> l1 : (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 28: l1 -> l1 : (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 29: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 30: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 31: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-a^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 32: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 33: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM 34: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0), cost: NONTERM 35: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 36: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 37: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM 38: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 18: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 unrolling Original rule: l1 -> l1 : a^0'=-c^0-a^0-e^0-b^0, b^0'=a^0+e^0, c^0'=c^0+d^0+e^0+b^0, d^0'=-c^0-d^0-e^0, e^0'=2*c^0+d^0+a^0+e^0+b^0, (1+c^0+d^0+e^0 <= 0 /\ 1+e^0 <= 0 /\ 1+c^0+a^0+e^0+b^0 <= 0 /\ 1+c^0 <= 0 /\ 1+c^0+b^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0, b^0'=a^0+e^0, c^0'=4*c^0+3*d^0+3*a^0+3*e^0+4*b^0, d^0'=-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0, e^0'=4*c^0+4*d^0+3*a^0+4*e^0+3*b^0, (1+3*c^0+3*d^0+3*a^0+4*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+e^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+2*e^0+b^0 <= 0 /\ 1+4*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+2*e^0+2*b^0 <= 0 /\ 1+e^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+3*e^0+2*b^0 <= 0 /\ 1+c^0+a^0+e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0 <= 0 /\ 1+c^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+2*e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+3*e^0+2*b^0 <= 0), cost: 1 Certificate of Non-Termination Original rule: l1 -> l1 : a^0'=-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0, b^0'=a^0+e^0, c^0'=4*c^0+3*d^0+3*a^0+3*e^0+4*b^0, d^0'=-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0, e^0'=4*c^0+4*d^0+3*a^0+4*e^0+3*b^0, (1+3*c^0+3*d^0+3*a^0+4*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+e^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+2*e^0+b^0 <= 0 /\ 1+4*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+2*e^0+2*b^0 <= 0 /\ 1+e^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+3*e^0+2*b^0 <= 0 /\ 1+c^0+a^0+e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+c^0 <= 0 /\ 1+c^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+2*e^0+b^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+c^0+d^0+e^0+b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+3*e^0+2*b^0 <= 0), cost: 1 New rule: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM -1-c^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-e^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-c^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-e^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-c^0-d^0-e^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0) -1-c^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0) Replacement map: {-1-c^0-b^0 >= 0 -> (-1-c^0-b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 -> (-1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-e^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-e^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-c^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-e^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-c^0-d^0-e^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), -1-c^0-a^0-e^0-b^0 >= 0 -> (-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0)} Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {19[T], 20[T], 23[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}] Step with 21 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {19[T], 20[T], 23[T], 24[T], 25[T], 27[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {}] Step with 22 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {19[T], 20[T], 23[T], 24[T], 25[T], 27[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T]}, {}] Step with 20 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {19[T], 20[T], 23[T], 24[T], 25[T], 27[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T]}, {22[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T]}, {}] Step with 23 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {19[T], 20[T], 23[T], 24[T], 25[T], 27[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T]}, {22[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T]}, {20[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T]}, {}] Step with 19 Trace 18[(1-sum^post1 <= 0)], 21[(1+c^0 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {19[T], 20[T], 23[T], 24[T], 25[T], 27[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {21[T], 26[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T]}, {22[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T]}, {20[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T]}, {}] Acceleration Failed marked recursive suffix as redundant Accelerate and Drop Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 19: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 20: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 21: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 22: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 23: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 24: l1 -> l1 : (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 25: l1 -> l1 : (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 26: l1 -> l1 : (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 27: l1 -> l1 : (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 28: l1 -> l1 : (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 29: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 30: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 31: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-a^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 32: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 33: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM 34: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0), cost: NONTERM 35: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 36: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 37: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM 38: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 39: l1 -> LoAT_sink : (-1-10*c^0-9*d^0-9*a^0-9*e^0-9*b^0 >= 0 /\ -1-6*c^0-6*d^0-6*a^0-5*e^0-6*b^0 >= 0 /\ -1-c^0-b^0 >= 0 /\ -1-8*c^0-7*d^0-7*a^0-7*e^0-8*b^0 >= 0 /\ -1-7*c^0-7*d^0-7*a^0-6*e^0-7*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-8*c^0-7*d^0-8*a^0-7*e^0-8*b^0 >= 0 /\ -1-5*c^0-5*d^0-4*a^0-4*e^0-5*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-5*c^0-5*d^0-4*a^0-4*e^0-4*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0 >= 0 /\ -1-10*c^0-10*d^0-9*a^0-9*e^0-9*b^0 >= 0 /\ -1-4*c^0-4*d^0-4*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-6*c^0-5*d^0-5*a^0-5*e^0-6*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-8*c^0-8*d^0-7*a^0-7*e^0-8*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-7*c^0-7*d^0-6*a^0-6*e^0-7*b^0 >= 0 /\ -1-9*c^0-8*d^0-8*a^0-8*e^0-9*b^0 >= 0 /\ -1-6*c^0-5*d^0-5*a^0-5*e^0-5*b^0 >= 0 /\ -1-5*c^0-5*d^0-5*a^0-4*e^0-5*b^0 >= 0 /\ -1-9*c^0-9*d^0-8*a^0-8*e^0-8*b^0 >= 0 /\ -1-9*c^0-9*d^0-9*a^0-8*e^0-9*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-8*c^0-8*d^0-8*a^0-7*e^0-8*b^0 >= 0 /\ -1-7*c^0-7*d^0-6*a^0-6*e^0-6*b^0 >= 0 /\ -1-8*c^0-7*d^0-7*a^0-7*e^0-7*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-7*c^0-6*d^0-6*a^0-6*e^0-6*b^0 >= 0 /\ -1-10*c^0-9*d^0-9*a^0-9*e^0-10*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -1-6*c^0-5*d^0-6*a^0-5*e^0-6*b^0 >= 0 /\ -1-9*c^0-9*d^0-8*a^0-8*e^0-9*b^0 >= 0 /\ -1-7*c^0-6*d^0-6*a^0-6*e^0-7*b^0 >= 0 /\ -1-9*c^0-8*d^0-9*a^0-8*e^0-9*b^0 >= 0 /\ -1-9*c^0-8*d^0-8*a^0-8*e^0-8*b^0 >= 0 /\ -1-5*c^0-4*d^0-4*a^0-4*e^0-5*b^0 >= 0 /\ -1-4*c^0-4*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-10*c^0-9*d^0-10*a^0-9*e^0-10*b^0 >= 0 /\ -1-4*c^0-3*d^0-4*a^0-3*e^0-4*b^0 >= 0 /\ -1-5*c^0-4*d^0-4*a^0-4*e^0-4*b^0 >= 0 /\ -1-10*c^0-10*d^0-9*a^0-9*e^0-10*b^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ -1-6*c^0-6*d^0-5*a^0-5*e^0-6*b^0 >= 0 /\ -1-8*c^0-8*d^0-7*a^0-7*e^0-7*b^0 >= 0 /\ -1-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-5*c^0-4*d^0-5*a^0-4*e^0-5*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0 /\ -1-10*c^0-10*d^0-10*a^0-9*e^0-10*b^0 >= 0 /\ -1-7*c^0-6*d^0-7*a^0-6*e^0-7*b^0 >= 0 /\ -1-6*c^0-6*d^0-5*a^0-5*e^0-5*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM 18: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 unrolling Original rule: l1 -> l1 : a^0'=c^0+d^0+e^0, b^0'=a^0, c^0'=c^0+d^0+b^0, d^0'=c^0+a^0+e^0+b^0, e^0'=-2*c^0-d^0-a^0-e^0-b^0, (1+2*c^0+d^0+a^0+e^0+b^0 <= 0 /\ 1+c^0 <= 0 /\ 1+c^0+b^0 <= 0 /\ 1+c^0+d^0 <= 0 /\ 1+c^0+a^0+b^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=a^0, b^0'=b^0, c^0'=11*c^0+10*d^0+10*a^0+10*e^0+10*b^0, d^0'=d^0, e^0'=-10*c^0-10*d^0-10*a^0-9*e^0-10*b^0, (1+10*c^0+9*d^0+9*a^0+9*e^0+9*b^0 <= 0 /\ 1+8*c^0+7*d^0+7*a^0+7*e^0+7*b^0 <= 0 /\ 1+7*c^0+6*d^0+6*a^0+6*e^0+6*b^0 <= 0 /\ 1+c^0+d^0+b^0 <= 0 /\ 1+6*c^0+5*d^0+6*a^0+5*e^0+6*b^0 <= 0 /\ 1+7*c^0+6*d^0+6*a^0+6*e^0+7*b^0 <= 0 /\ 1+9*c^0+8*d^0+8*a^0+8*e^0+8*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+5*c^0+4*d^0+4*a^0+4*e^0+5*b^0 <= 0 /\ 1+4*c^0+4*d^0+3*a^0+3*e^0+4*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+4*c^0+3*d^0+4*a^0+3*e^0+4*b^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+5*c^0+4*d^0+4*a^0+4*e^0+4*b^0 <= 0 /\ 1+4*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+b^0 <= 0 /\ 1+6*c^0+6*d^0+5*a^0+5*e^0+6*b^0 <= 0 /\ 1+10*c^0+10*d^0+9*a^0+9*e^0+9*b^0 <= 0 /\ 1+8*c^0+8*d^0+7*a^0+7*e^0+7*b^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+5*c^0+4*d^0+5*a^0+4*e^0+5*b^0 <= 0 /\ 1+9*c^0+8*d^0+8*a^0+8*e^0+9*b^0 <= 0 /\ 1+9*c^0+9*d^0+9*a^0+8*e^0+9*b^0 <= 0 /\ 1+7*c^0+6*d^0+7*a^0+6*e^0+7*b^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+6*c^0+6*d^0+5*a^0+5*e^0+5*b^0 <= 0 /\ 1+6*c^0+6*d^0+6*a^0+5*e^0+6*b^0 <= 0 /\ 1+c^0 <= 0 /\ 1+c^0+b^0 <= 0 /\ 1+10*c^0+9*d^0+9*a^0+9*e^0+10*b^0 <= 0 /\ 1+8*c^0+7*d^0+7*a^0+7*e^0+8*b^0 <= 0 /\ 1+9*c^0+9*d^0+8*a^0+8*e^0+9*b^0 <= 0 /\ 1+9*c^0+8*d^0+9*a^0+8*e^0+9*b^0 <= 0 /\ 1+7*c^0+7*d^0+7*a^0+6*e^0+7*b^0 <= 0 /\ 1+8*c^0+7*d^0+8*a^0+7*e^0+8*b^0 <= 0 /\ 1+5*c^0+5*d^0+4*a^0+4*e^0+5*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+e^0+2*b^0 <= 0 /\ 1+10*c^0+9*d^0+10*a^0+9*e^0+10*b^0 <= 0 /\ 1+5*c^0+5*d^0+4*a^0+4*e^0+4*b^0 <= 0 /\ 1+4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 <= 0 /\ 1+10*c^0+10*d^0+9*a^0+9*e^0+10*b^0 <= 0 /\ 1+c^0+d^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+4*c^0+4*d^0+4*a^0+3*e^0+4*b^0 <= 0 /\ 1+c^0+d^0+a^0+b^0 <= 0 /\ 1+6*c^0+5*d^0+5*a^0+5*e^0+6*b^0 <= 0 /\ 1+4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+c^0+a^0+b^0 <= 0 /\ 1+8*c^0+8*d^0+7*a^0+7*e^0+8*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+e^0+b^0 <= 0 /\ 1+7*c^0+7*d^0+6*a^0+6*e^0+7*b^0 <= 0 /\ 1+10*c^0+10*d^0+10*a^0+9*e^0+10*b^0 <= 0 /\ 1+6*c^0+5*d^0+5*a^0+5*e^0+5*b^0 <= 0 /\ 1+5*c^0+5*d^0+5*a^0+4*e^0+5*b^0 <= 0 /\ 1+9*c^0+9*d^0+8*a^0+8*e^0+8*b^0 <= 0 /\ 1+8*c^0+8*d^0+8*a^0+7*e^0+8*b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+7*c^0+7*d^0+6*a^0+6*e^0+6*b^0 <= 0), cost: 1 Certificate of Non-Termination Original rule: l1 -> l1 : a^0'=a^0, b^0'=b^0, c^0'=11*c^0+10*d^0+10*a^0+10*e^0+10*b^0, d^0'=d^0, e^0'=-10*c^0-10*d^0-10*a^0-9*e^0-10*b^0, (1+10*c^0+9*d^0+9*a^0+9*e^0+9*b^0 <= 0 /\ 1+8*c^0+7*d^0+7*a^0+7*e^0+7*b^0 <= 0 /\ 1+7*c^0+6*d^0+6*a^0+6*e^0+6*b^0 <= 0 /\ 1+c^0+d^0+b^0 <= 0 /\ 1+6*c^0+5*d^0+6*a^0+5*e^0+6*b^0 <= 0 /\ 1+7*c^0+6*d^0+6*a^0+6*e^0+7*b^0 <= 0 /\ 1+9*c^0+8*d^0+8*a^0+8*e^0+8*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+5*c^0+4*d^0+4*a^0+4*e^0+5*b^0 <= 0 /\ 1+4*c^0+4*d^0+3*a^0+3*e^0+4*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+4*c^0+3*d^0+4*a^0+3*e^0+4*b^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+5*c^0+4*d^0+4*a^0+4*e^0+4*b^0 <= 0 /\ 1+4*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+d^0+a^0+e^0+b^0 <= 0 /\ 1+6*c^0+6*d^0+5*a^0+5*e^0+6*b^0 <= 0 /\ 1+10*c^0+10*d^0+9*a^0+9*e^0+9*b^0 <= 0 /\ 1+8*c^0+8*d^0+7*a^0+7*e^0+7*b^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+5*c^0+4*d^0+5*a^0+4*e^0+5*b^0 <= 0 /\ 1+9*c^0+8*d^0+8*a^0+8*e^0+9*b^0 <= 0 /\ 1+9*c^0+9*d^0+9*a^0+8*e^0+9*b^0 <= 0 /\ 1+7*c^0+6*d^0+7*a^0+6*e^0+7*b^0 <= 0 /\ 1+3*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+6*c^0+6*d^0+5*a^0+5*e^0+5*b^0 <= 0 /\ 1+6*c^0+6*d^0+6*a^0+5*e^0+6*b^0 <= 0 /\ 1+c^0 <= 0 /\ 1+c^0+b^0 <= 0 /\ 1+10*c^0+9*d^0+9*a^0+9*e^0+10*b^0 <= 0 /\ 1+8*c^0+7*d^0+7*a^0+7*e^0+8*b^0 <= 0 /\ 1+9*c^0+9*d^0+8*a^0+8*e^0+9*b^0 <= 0 /\ 1+9*c^0+8*d^0+9*a^0+8*e^0+9*b^0 <= 0 /\ 1+7*c^0+7*d^0+7*a^0+6*e^0+7*b^0 <= 0 /\ 1+8*c^0+7*d^0+8*a^0+7*e^0+8*b^0 <= 0 /\ 1+5*c^0+5*d^0+4*a^0+4*e^0+5*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+e^0+2*b^0 <= 0 /\ 1+10*c^0+9*d^0+10*a^0+9*e^0+10*b^0 <= 0 /\ 1+5*c^0+5*d^0+4*a^0+4*e^0+4*b^0 <= 0 /\ 1+4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 <= 0 /\ 1+10*c^0+10*d^0+9*a^0+9*e^0+10*b^0 <= 0 /\ 1+c^0+d^0 <= 0 /\ 1+3*c^0+2*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+4*c^0+4*d^0+4*a^0+3*e^0+4*b^0 <= 0 /\ 1+c^0+d^0+a^0+b^0 <= 0 /\ 1+6*c^0+5*d^0+5*a^0+5*e^0+6*b^0 <= 0 /\ 1+4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+c^0+a^0+b^0 <= 0 /\ 1+8*c^0+8*d^0+7*a^0+7*e^0+8*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+e^0+b^0 <= 0 /\ 1+7*c^0+7*d^0+6*a^0+6*e^0+7*b^0 <= 0 /\ 1+10*c^0+10*d^0+10*a^0+9*e^0+10*b^0 <= 0 /\ 1+6*c^0+5*d^0+5*a^0+5*e^0+5*b^0 <= 0 /\ 1+5*c^0+5*d^0+5*a^0+4*e^0+5*b^0 <= 0 /\ 1+9*c^0+9*d^0+8*a^0+8*e^0+8*b^0 <= 0 /\ 1+8*c^0+8*d^0+8*a^0+7*e^0+8*b^0 <= 0 /\ 1+2*c^0+d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+7*c^0+7*d^0+6*a^0+6*e^0+6*b^0 <= 0), cost: 1 New rule: l1 -> LoAT_sink : (-1-10*c^0-9*d^0-9*a^0-9*e^0-9*b^0 >= 0 /\ -1-6*c^0-6*d^0-6*a^0-5*e^0-6*b^0 >= 0 /\ -1-c^0-b^0 >= 0 /\ -1-8*c^0-7*d^0-7*a^0-7*e^0-8*b^0 >= 0 /\ -1-7*c^0-7*d^0-7*a^0-6*e^0-7*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-8*c^0-7*d^0-8*a^0-7*e^0-8*b^0 >= 0 /\ -1-5*c^0-5*d^0-4*a^0-4*e^0-5*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-5*c^0-5*d^0-4*a^0-4*e^0-4*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0 >= 0 /\ -1-10*c^0-10*d^0-9*a^0-9*e^0-9*b^0 >= 0 /\ -1-4*c^0-4*d^0-4*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-6*c^0-5*d^0-5*a^0-5*e^0-6*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-8*c^0-8*d^0-7*a^0-7*e^0-8*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-7*c^0-7*d^0-6*a^0-6*e^0-7*b^0 >= 0 /\ -1-9*c^0-8*d^0-8*a^0-8*e^0-9*b^0 >= 0 /\ -1-6*c^0-5*d^0-5*a^0-5*e^0-5*b^0 >= 0 /\ -1-5*c^0-5*d^0-5*a^0-4*e^0-5*b^0 >= 0 /\ -1-9*c^0-9*d^0-8*a^0-8*e^0-8*b^0 >= 0 /\ -1-9*c^0-9*d^0-9*a^0-8*e^0-9*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-8*c^0-8*d^0-8*a^0-7*e^0-8*b^0 >= 0 /\ -1-7*c^0-7*d^0-6*a^0-6*e^0-6*b^0 >= 0 /\ -1-8*c^0-7*d^0-7*a^0-7*e^0-7*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-7*c^0-6*d^0-6*a^0-6*e^0-6*b^0 >= 0 /\ -1-10*c^0-9*d^0-9*a^0-9*e^0-10*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -1-6*c^0-5*d^0-6*a^0-5*e^0-6*b^0 >= 0 /\ -1-9*c^0-9*d^0-8*a^0-8*e^0-9*b^0 >= 0 /\ -1-7*c^0-6*d^0-6*a^0-6*e^0-7*b^0 >= 0 /\ -1-9*c^0-8*d^0-9*a^0-8*e^0-9*b^0 >= 0 /\ -1-9*c^0-8*d^0-8*a^0-8*e^0-8*b^0 >= 0 /\ -1-5*c^0-4*d^0-4*a^0-4*e^0-5*b^0 >= 0 /\ -1-4*c^0-4*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-10*c^0-9*d^0-10*a^0-9*e^0-10*b^0 >= 0 /\ -1-4*c^0-3*d^0-4*a^0-3*e^0-4*b^0 >= 0 /\ -1-5*c^0-4*d^0-4*a^0-4*e^0-4*b^0 >= 0 /\ -1-10*c^0-10*d^0-9*a^0-9*e^0-10*b^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ -1-6*c^0-6*d^0-5*a^0-5*e^0-6*b^0 >= 0 /\ -1-8*c^0-8*d^0-7*a^0-7*e^0-7*b^0 >= 0 /\ -1-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-5*c^0-4*d^0-5*a^0-4*e^0-5*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0 /\ -1-10*c^0-10*d^0-10*a^0-9*e^0-10*b^0 >= 0 /\ -1-7*c^0-6*d^0-7*a^0-6*e^0-7*b^0 >= 0 /\ -1-6*c^0-6*d^0-5*a^0-5*e^0-5*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM -1-10*c^0-9*d^0-9*a^0-9*e^0-9*b^0 >= 0 [0]: eventual increase yields (-1-10*c^0-9*d^0-9*a^0-9*e^0-9*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-6*c^0-6*d^0-6*a^0-5*e^0-6*b^0 >= 0 [0]: eventual increase yields (-1-6*c^0-6*d^0-6*a^0-5*e^0-6*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-c^0-b^0 >= 0 [0]: eventual increase yields (-1-c^0-b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-8*c^0-7*d^0-7*a^0-7*e^0-8*b^0 >= 0 [0]: eventual increase yields (-1-8*c^0-7*d^0-7*a^0-7*e^0-8*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-7*c^0-7*d^0-7*a^0-6*e^0-7*b^0 >= 0 [0]: eventual increase yields (-1-7*c^0-7*d^0-7*a^0-6*e^0-7*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 [0]: eventual increase yields (-1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-8*c^0-7*d^0-8*a^0-7*e^0-8*b^0 >= 0 [0]: eventual increase yields (-1-8*c^0-7*d^0-8*a^0-7*e^0-8*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-5*c^0-5*d^0-4*a^0-4*e^0-5*b^0 >= 0 [0]: eventual increase yields (-1-5*c^0-5*d^0-4*a^0-4*e^0-5*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: eventual increase yields (-1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 [0]: eventual increase yields (-1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-5*c^0-5*d^0-4*a^0-4*e^0-4*b^0 >= 0 [0]: eventual increase yields (-1-5*c^0-5*d^0-4*a^0-4*e^0-4*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: eventual increase yields (-1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 [0]: eventual increase yields (-1-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-c^0-d^0 >= 0 [0]: eventual increase yields (-1-c^0-d^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-10*c^0-10*d^0-9*a^0-9*e^0-9*b^0 >= 0 [0]: eventual increase yields (-1-10*c^0-10*d^0-9*a^0-9*e^0-9*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-4*c^0-4*d^0-4*a^0-3*e^0-4*b^0 >= 0 [0]: eventual increase yields (-1-4*c^0-4*d^0-4*a^0-3*e^0-4*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-c^0-d^0-a^0-b^0 >= 0 [0]: eventual increase yields (-1-c^0-d^0-a^0-b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-6*c^0-5*d^0-5*a^0-5*e^0-6*b^0 >= 0 [0]: eventual increase yields (-1-6*c^0-5*d^0-5*a^0-5*e^0-6*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-c^0-a^0-b^0 >= 0 [0]: eventual increase yields (-1-c^0-a^0-b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-8*c^0-8*d^0-7*a^0-7*e^0-8*b^0 >= 0 [0]: eventual increase yields (-1-8*c^0-8*d^0-7*a^0-7*e^0-8*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: eventual increase yields (-1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 [0]: eventual increase yields (-1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 [0]: eventual increase yields (-1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-7*c^0-7*d^0-6*a^0-6*e^0-7*b^0 >= 0 [0]: eventual increase yields (-1-7*c^0-7*d^0-6*a^0-6*e^0-7*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-9*c^0-8*d^0-8*a^0-8*e^0-9*b^0 >= 0 [0]: eventual increase yields (-1-9*c^0-8*d^0-8*a^0-8*e^0-9*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-6*c^0-5*d^0-5*a^0-5*e^0-5*b^0 >= 0 [0]: eventual increase yields (-1-6*c^0-5*d^0-5*a^0-5*e^0-5*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-5*c^0-5*d^0-5*a^0-4*e^0-5*b^0 >= 0 [0]: eventual increase yields (-1-5*c^0-5*d^0-5*a^0-4*e^0-5*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-9*c^0-9*d^0-8*a^0-8*e^0-8*b^0 >= 0 [0]: eventual increase yields (-1-9*c^0-9*d^0-8*a^0-8*e^0-8*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-9*c^0-9*d^0-9*a^0-8*e^0-9*b^0 >= 0 [0]: eventual increase yields (-1-9*c^0-9*d^0-9*a^0-8*e^0-9*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 [0]: eventual increase yields (-1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-8*c^0-8*d^0-8*a^0-7*e^0-8*b^0 >= 0 [0]: eventual increase yields (-1-8*c^0-8*d^0-8*a^0-7*e^0-8*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-7*c^0-7*d^0-6*a^0-6*e^0-6*b^0 >= 0 [0]: eventual increase yields (-1-7*c^0-7*d^0-6*a^0-6*e^0-6*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-8*c^0-7*d^0-7*a^0-7*e^0-7*b^0 >= 0 [0]: eventual increase yields (-1-8*c^0-7*d^0-7*a^0-7*e^0-7*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-c^0 >= 0 [0]: eventual increase yields (-1-c^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-7*c^0-6*d^0-6*a^0-6*e^0-6*b^0 >= 0 [0]: eventual increase yields (-1-7*c^0-6*d^0-6*a^0-6*e^0-6*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-10*c^0-9*d^0-9*a^0-9*e^0-10*b^0 >= 0 [0]: eventual increase yields (-1-10*c^0-9*d^0-9*a^0-9*e^0-10*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-c^0-d^0-b^0 >= 0 [0]: eventual increase yields (-1-c^0-d^0-b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-6*c^0-5*d^0-6*a^0-5*e^0-6*b^0 >= 0 [0]: eventual increase yields (-1-6*c^0-5*d^0-6*a^0-5*e^0-6*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-9*c^0-9*d^0-8*a^0-8*e^0-9*b^0 >= 0 [0]: eventual increase yields (-1-9*c^0-9*d^0-8*a^0-8*e^0-9*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-7*c^0-6*d^0-6*a^0-6*e^0-7*b^0 >= 0 [0]: eventual increase yields (-1-7*c^0-6*d^0-6*a^0-6*e^0-7*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-9*c^0-8*d^0-9*a^0-8*e^0-9*b^0 >= 0 [0]: eventual increase yields (-1-9*c^0-8*d^0-9*a^0-8*e^0-9*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-9*c^0-8*d^0-8*a^0-8*e^0-8*b^0 >= 0 [0]: eventual increase yields (-1-9*c^0-8*d^0-8*a^0-8*e^0-8*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-5*c^0-4*d^0-4*a^0-4*e^0-5*b^0 >= 0 [0]: eventual increase yields (-1-5*c^0-4*d^0-4*a^0-4*e^0-5*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-4*c^0-4*d^0-3*a^0-3*e^0-4*b^0 >= 0 [0]: eventual increase yields (-1-4*c^0-4*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 [0]: eventual increase yields (-1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 [0]: eventual increase yields (-1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-10*c^0-9*d^0-10*a^0-9*e^0-10*b^0 >= 0 [0]: eventual increase yields (-1-10*c^0-9*d^0-10*a^0-9*e^0-10*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-4*c^0-3*d^0-4*a^0-3*e^0-4*b^0 >= 0 [0]: eventual increase yields (-1-4*c^0-3*d^0-4*a^0-3*e^0-4*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-5*c^0-4*d^0-4*a^0-4*e^0-4*b^0 >= 0 [0]: eventual increase yields (-1-5*c^0-4*d^0-4*a^0-4*e^0-4*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-10*c^0-10*d^0-9*a^0-9*e^0-10*b^0 >= 0 [0]: eventual increase yields (-1-10*c^0-10*d^0-9*a^0-9*e^0-10*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 [0]: eventual increase yields (-1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 [0]: eventual increase yields (-1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-6*c^0-6*d^0-5*a^0-5*e^0-6*b^0 >= 0 [0]: eventual increase yields (-1-6*c^0-6*d^0-5*a^0-5*e^0-6*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-8*c^0-8*d^0-7*a^0-7*e^0-7*b^0 >= 0 [0]: eventual increase yields (-1-8*c^0-8*d^0-7*a^0-7*e^0-7*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: eventual increase yields (-1-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-5*c^0-4*d^0-5*a^0-4*e^0-5*b^0 >= 0 [0]: eventual increase yields (-1-5*c^0-4*d^0-5*a^0-4*e^0-5*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0) -1-10*c^0-10*d^0-10*a^0-9*e^0-10*b^0 >= 0 [0]: eventual increase yields (10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0 /\ -1-10*c^0-10*d^0-10*a^0-9*e^0-10*b^0 >= 0) -1-7*c^0-6*d^0-7*a^0-6*e^0-7*b^0 >= 0 [0]: eventual increase yields (10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0 /\ -1-7*c^0-6*d^0-7*a^0-6*e^0-7*b^0 >= 0) -1-6*c^0-6*d^0-5*a^0-5*e^0-5*b^0 >= 0 [0]: eventual increase yields (10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0 /\ -1-6*c^0-6*d^0-5*a^0-5*e^0-5*b^0 >= 0) -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0 [0]: eventual increase yields (10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0) Replacement map: {-1-10*c^0-9*d^0-9*a^0-9*e^0-9*b^0 >= 0 -> (-1-10*c^0-9*d^0-9*a^0-9*e^0-9*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-6*c^0-6*d^0-6*a^0-5*e^0-6*b^0 >= 0 -> (-1-6*c^0-6*d^0-6*a^0-5*e^0-6*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-c^0-b^0 >= 0 -> (-1-c^0-b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-8*c^0-7*d^0-7*a^0-7*e^0-8*b^0 >= 0 -> (-1-8*c^0-7*d^0-7*a^0-7*e^0-8*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-7*c^0-7*d^0-7*a^0-6*e^0-7*b^0 >= 0 -> (-1-7*c^0-7*d^0-7*a^0-6*e^0-7*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 -> (-1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-8*c^0-7*d^0-8*a^0-7*e^0-8*b^0 >= 0 -> (-1-8*c^0-7*d^0-8*a^0-7*e^0-8*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-5*c^0-5*d^0-4*a^0-4*e^0-5*b^0 >= 0 -> (-1-5*c^0-5*d^0-4*a^0-4*e^0-5*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 -> (-1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-5*c^0-5*d^0-4*a^0-4*e^0-4*b^0 >= 0 -> (-1-5*c^0-5*d^0-4*a^0-4*e^0-4*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 -> (-1-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-c^0-d^0 >= 0 -> (-1-c^0-d^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-10*c^0-10*d^0-9*a^0-9*e^0-9*b^0 >= 0 -> (-1-10*c^0-10*d^0-9*a^0-9*e^0-9*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-4*c^0-4*d^0-4*a^0-3*e^0-4*b^0 >= 0 -> (-1-4*c^0-4*d^0-4*a^0-3*e^0-4*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-c^0-d^0-a^0-b^0 >= 0 -> (-1-c^0-d^0-a^0-b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-6*c^0-5*d^0-5*a^0-5*e^0-6*b^0 >= 0 -> (-1-6*c^0-5*d^0-5*a^0-5*e^0-6*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-c^0-a^0-b^0 >= 0 -> (-1-c^0-a^0-b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-8*c^0-8*d^0-7*a^0-7*e^0-8*b^0 >= 0 -> (-1-8*c^0-8*d^0-7*a^0-7*e^0-8*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 -> (-1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 -> (-1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-7*c^0-7*d^0-6*a^0-6*e^0-7*b^0 >= 0 -> (-1-7*c^0-7*d^0-6*a^0-6*e^0-7*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-9*c^0-8*d^0-8*a^0-8*e^0-9*b^0 >= 0 -> (-1-9*c^0-8*d^0-8*a^0-8*e^0-9*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-6*c^0-5*d^0-5*a^0-5*e^0-5*b^0 >= 0 -> (-1-6*c^0-5*d^0-5*a^0-5*e^0-5*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-5*c^0-5*d^0-5*a^0-4*e^0-5*b^0 >= 0 -> (-1-5*c^0-5*d^0-5*a^0-4*e^0-5*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-9*c^0-9*d^0-8*a^0-8*e^0-8*b^0 >= 0 -> (-1-9*c^0-9*d^0-8*a^0-8*e^0-8*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-9*c^0-9*d^0-9*a^0-8*e^0-9*b^0 >= 0 -> (-1-9*c^0-9*d^0-9*a^0-8*e^0-9*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 -> (-1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-8*c^0-8*d^0-8*a^0-7*e^0-8*b^0 >= 0 -> (-1-8*c^0-8*d^0-8*a^0-7*e^0-8*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-7*c^0-7*d^0-6*a^0-6*e^0-6*b^0 >= 0 -> (-1-7*c^0-7*d^0-6*a^0-6*e^0-6*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-8*c^0-7*d^0-7*a^0-7*e^0-7*b^0 >= 0 -> (-1-8*c^0-7*d^0-7*a^0-7*e^0-7*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-c^0 >= 0 -> (-1-c^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-7*c^0-6*d^0-6*a^0-6*e^0-6*b^0 >= 0 -> (-1-7*c^0-6*d^0-6*a^0-6*e^0-6*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-10*c^0-9*d^0-9*a^0-9*e^0-10*b^0 >= 0 -> (-1-10*c^0-9*d^0-9*a^0-9*e^0-10*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-c^0-d^0-b^0 >= 0 -> (-1-c^0-d^0-b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-6*c^0-5*d^0-6*a^0-5*e^0-6*b^0 >= 0 -> (-1-6*c^0-5*d^0-6*a^0-5*e^0-6*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-9*c^0-9*d^0-8*a^0-8*e^0-9*b^0 >= 0 -> (-1-9*c^0-9*d^0-8*a^0-8*e^0-9*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-7*c^0-6*d^0-6*a^0-6*e^0-7*b^0 >= 0 -> (-1-7*c^0-6*d^0-6*a^0-6*e^0-7*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-9*c^0-8*d^0-9*a^0-8*e^0-9*b^0 >= 0 -> (-1-9*c^0-8*d^0-9*a^0-8*e^0-9*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-9*c^0-8*d^0-8*a^0-8*e^0-8*b^0 >= 0 -> (-1-9*c^0-8*d^0-8*a^0-8*e^0-8*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-5*c^0-4*d^0-4*a^0-4*e^0-5*b^0 >= 0 -> (-1-5*c^0-4*d^0-4*a^0-4*e^0-5*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-4*c^0-4*d^0-3*a^0-3*e^0-4*b^0 >= 0 -> (-1-4*c^0-4*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 -> (-1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 -> (-1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-10*c^0-9*d^0-10*a^0-9*e^0-10*b^0 >= 0 -> (-1-10*c^0-9*d^0-10*a^0-9*e^0-10*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-4*c^0-3*d^0-4*a^0-3*e^0-4*b^0 >= 0 -> (-1-4*c^0-3*d^0-4*a^0-3*e^0-4*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-5*c^0-4*d^0-4*a^0-4*e^0-4*b^0 >= 0 -> (-1-5*c^0-4*d^0-4*a^0-4*e^0-4*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-10*c^0-10*d^0-9*a^0-9*e^0-10*b^0 >= 0 -> (-1-10*c^0-10*d^0-9*a^0-9*e^0-10*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 -> (-1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 -> (-1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-6*c^0-6*d^0-5*a^0-5*e^0-6*b^0 >= 0 -> (-1-6*c^0-6*d^0-5*a^0-5*e^0-6*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-8*c^0-8*d^0-7*a^0-7*e^0-7*b^0 >= 0 -> (-1-8*c^0-8*d^0-7*a^0-7*e^0-7*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-1-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-5*c^0-4*d^0-5*a^0-4*e^0-5*b^0 >= 0 -> (-1-5*c^0-4*d^0-5*a^0-4*e^0-5*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0), -1-10*c^0-10*d^0-10*a^0-9*e^0-10*b^0 >= 0 -> (10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0 /\ -1-10*c^0-10*d^0-10*a^0-9*e^0-10*b^0 >= 0), -1-7*c^0-6*d^0-7*a^0-6*e^0-7*b^0 >= 0 -> (10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0 /\ -1-7*c^0-6*d^0-7*a^0-6*e^0-7*b^0 >= 0), -1-6*c^0-6*d^0-5*a^0-5*e^0-5*b^0 >= 0 -> (10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0 /\ -1-6*c^0-6*d^0-5*a^0-5*e^0-5*b^0 >= 0), -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0 -> (10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0)} Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {19[T], 20[T], 21[T], 23[T], 24[T], 25[T], 27[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}] Step with 22 Trace 18[(1-sum^post1 <= 0)], 22[(1+b^0 <= 0)] Blocked [{}, {19[T], 20[T], 21[T], 23[T], 24[T], 25[T], 26[T], 27[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {}] Step with 20 Trace 18[(1-sum^post1 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)] Blocked [{}, {19[T], 20[T], 21[T], 23[T], 24[T], 25[T], 26[T], 27[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {22[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T], 39[T]}, {}] Step with 23 Trace 18[(1-sum^post1 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)] Blocked [{}, {19[T], 20[T], 21[T], 23[T], 24[T], 25[T], 26[T], 27[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {22[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T], 39[T]}, {20[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T], 39[T]}, {}] Step with 19 Trace 18[(1-sum^post1 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 19[(1+e^0 <= 0)] Blocked [{}, {19[T], 20[T], 21[T], 23[T], 24[T], 25[T], 26[T], 27[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {22[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T], 39[T]}, {20[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T], 39[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T], 39[T]}, {}] Step with 21 Trace 18[(1-sum^post1 <= 0)], 22[(1+b^0 <= 0)], 20[(1+d^0 <= 0)], 23[(1+a^0 <= 0)], 19[(1+e^0 <= 0)], 21[(1+c^0 <= 0)] Blocked [{}, {19[T], 20[T], 21[T], 23[T], 24[T], 25[T], 26[T], 27[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}, {22[T], 24[T], 25[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T], 39[T]}, {20[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T], 39[T]}, {23[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T], 39[T]}, {19[T], 27[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T], 36[T], 37[T], 38[T], 39[T]}, {}] Accelerate and Drop Start location: l7 Program variables: a^0 b^0 c^0 d^0 e^0 sum^0 19: l1 -> l1 : a^0'=a^0+e^0, d^0'=d^0+e^0, e^0'=-e^0, 1+e^0 <= 0, cost: 1 20: l1 -> l1 : c^0'=c^0+d^0, d^0'=-d^0, e^0'=d^0+e^0, 1+d^0 <= 0, cost: 1 21: l1 -> l1 : b^0'=c^0+b^0, c^0'=-c^0, d^0'=c^0+d^0, 1+c^0 <= 0, cost: 1 22: l1 -> l1 : a^0'=a^0+b^0, b^0'=-b^0, c^0'=c^0+b^0, 1+b^0 <= 0, cost: 1 23: l1 -> l1 : a^0'=-a^0, b^0'=a^0+b^0, e^0'=a^0+e^0, 1+a^0 <= 0, cost: 1 24: l1 -> l1 : (1+e^0 <= 0 /\ 1-e^0 <= 0), cost: 1 25: l1 -> l1 : (1+d^0 <= 0 /\ 1-d^0 <= 0), cost: 1 26: l1 -> l1 : (1-c^0 <= 0 /\ 1+c^0 <= 0), cost: 1 27: l1 -> l1 : (1+b^0 <= 0 /\ 1-b^0 <= 0), cost: 1 28: l1 -> l1 : (1-a^0 <= 0 /\ 1+a^0 <= 0), cost: 1 29: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 30: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -c^0+d^0-b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 31: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-a^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 32: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 33: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM 34: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -a^0+e^0-b^0 == 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-d^0-e^0 >= 0 /\ -1-c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0), cost: NONTERM 35: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -1-a^0-e^0-b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ c^0-d^0-e^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 36: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -3*c^0-4*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ -1-c^0-d^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ c^0-a^0-b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-a^0 >= 0 /\ -1-d^0-a^0-e^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 37: l1 -> LoAT_sink : (-1-3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-b^0 >= 0 /\ -1-c^0-d^0-a^0-e^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-4*b^0 == 0 /\ -1-a^0-e^0 >= 0 /\ -c^0-d^0+e^0 == 0 /\ -1-a^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-2*e^0-b^0 >= 0 /\ -3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 == 0 /\ 3*c^0+3*d^0+4*a^0+3*e^0+4*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM 38: l1 -> LoAT_sink : (-1-c^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-4*e^0-3*b^0 >= 0 /\ -4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 == 0 /\ -1-c^0-d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-2*b^0 >= 0 /\ -1-e^0 >= 0 /\ -a^0-e^0+b^0 == 0 /\ -3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-e^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-2*e^0-b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ 4*c^0+4*d^0+3*a^0+3*e^0+3*b^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-3*e^0-2*b^0 >= 0 /\ 3*c^0+3*d^0+4*a^0+4*e^0+3*b^0 == 0 /\ -1-c^0-a^0-e^0-b^0 >= 0), cost: NONTERM 39: l1 -> LoAT_sink : (-1-10*c^0-9*d^0-9*a^0-9*e^0-9*b^0 >= 0 /\ -1-6*c^0-6*d^0-6*a^0-5*e^0-6*b^0 >= 0 /\ -1-c^0-b^0 >= 0 /\ -1-8*c^0-7*d^0-7*a^0-7*e^0-8*b^0 >= 0 /\ -1-7*c^0-7*d^0-7*a^0-6*e^0-7*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-8*c^0-7*d^0-8*a^0-7*e^0-8*b^0 >= 0 /\ -1-5*c^0-5*d^0-4*a^0-4*e^0-5*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-5*c^0-5*d^0-4*a^0-4*e^0-4*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0 >= 0 /\ -1-10*c^0-10*d^0-9*a^0-9*e^0-9*b^0 >= 0 /\ -1-4*c^0-4*d^0-4*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-6*c^0-5*d^0-5*a^0-5*e^0-6*b^0 >= 0 /\ -1-c^0-a^0-b^0 >= 0 /\ -1-8*c^0-8*d^0-7*a^0-7*e^0-8*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-7*c^0-7*d^0-6*a^0-6*e^0-7*b^0 >= 0 /\ -1-9*c^0-8*d^0-8*a^0-8*e^0-9*b^0 >= 0 /\ -1-6*c^0-5*d^0-5*a^0-5*e^0-5*b^0 >= 0 /\ -1-5*c^0-5*d^0-5*a^0-4*e^0-5*b^0 >= 0 /\ -1-9*c^0-9*d^0-8*a^0-8*e^0-8*b^0 >= 0 /\ -1-9*c^0-9*d^0-9*a^0-8*e^0-9*b^0 >= 0 /\ -1-3*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-8*c^0-8*d^0-8*a^0-7*e^0-8*b^0 >= 0 /\ -1-7*c^0-7*d^0-6*a^0-6*e^0-6*b^0 >= 0 /\ -1-8*c^0-7*d^0-7*a^0-7*e^0-7*b^0 >= 0 /\ -1-c^0 >= 0 /\ -1-7*c^0-6*d^0-6*a^0-6*e^0-6*b^0 >= 0 /\ -1-10*c^0-9*d^0-9*a^0-9*e^0-10*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -1-6*c^0-5*d^0-6*a^0-5*e^0-6*b^0 >= 0 /\ -1-9*c^0-9*d^0-8*a^0-8*e^0-9*b^0 >= 0 /\ -1-7*c^0-6*d^0-6*a^0-6*e^0-7*b^0 >= 0 /\ -1-9*c^0-8*d^0-9*a^0-8*e^0-9*b^0 >= 0 /\ -1-9*c^0-8*d^0-8*a^0-8*e^0-8*b^0 >= 0 /\ -1-5*c^0-4*d^0-4*a^0-4*e^0-5*b^0 >= 0 /\ -1-4*c^0-4*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-10*c^0-9*d^0-10*a^0-9*e^0-10*b^0 >= 0 /\ -1-4*c^0-3*d^0-4*a^0-3*e^0-4*b^0 >= 0 /\ -1-5*c^0-4*d^0-4*a^0-4*e^0-4*b^0 >= 0 /\ -1-10*c^0-10*d^0-9*a^0-9*e^0-10*b^0 >= 0 /\ -1-3*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-d^0-a^0-e^0-b^0 >= 0 /\ -1-6*c^0-6*d^0-5*a^0-5*e^0-6*b^0 >= 0 /\ -1-8*c^0-8*d^0-7*a^0-7*e^0-7*b^0 >= 0 /\ -1-4*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-5*c^0-4*d^0-5*a^0-4*e^0-5*b^0 >= 0 /\ 10*c^0+10*d^0+10*a^0+10*e^0+10*b^0 <= 0 /\ -1-10*c^0-10*d^0-10*a^0-9*e^0-10*b^0 >= 0 /\ -1-7*c^0-6*d^0-7*a^0-6*e^0-7*b^0 >= 0 /\ -1-6*c^0-6*d^0-5*a^0-5*e^0-5*b^0 >= 0 /\ -1-2*c^0-d^0-2*a^0-e^0-2*b^0 >= 0), cost: NONTERM 40: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-a^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM 18: l7 -> l1 : a^0'=-e^post1-b^post1+sum^post1-c^post1-d^post1, b^0'=b^post1, c^0'=c^post1, d^0'=d^post1, e^0'=e^post1, sum^0'=sum^post1, 1-sum^post1 <= 0, cost: 1 unrolling Original rule: l1 -> l1 : a^0'=d^0+e^0, b^0'=c^0+d^0+a^0+b^0, c^0'=-c^0-d^0-b^0, d^0'=c^0+d^0+a^0+e^0+2*b^0, e^0'=-d^0-a^0-e^0-b^0, (1+a^0+b^0 <= 0 /\ 1+c^0+d^0+b^0 <= 0 /\ 1+d^0+a^0+e^0+b^0 <= 0 /\ 1+d^0 <= 0 /\ 1+b^0 <= 0), cost: 1 New rule: l1 -> l1 : a^0'=d^0+e^0, b^0'=3*c^0+3*d^0+4*a^0+3*e^0+4*b^0, c^0'=-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0, d^0'=4*c^0+4*d^0+3*a^0+3*e^0+4*b^0, e^0'=-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0, (1+a^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+4*b^0 <= 0 /\ 1+c^0+d^0+b^0 <= 0 /\ 1+3*c^0+4*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+d^0+a^0+e^0+b^0 <= 0 /\ 1+d^0 <= 0 /\ 1+2*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+c^0+d^0+a^0+b^0 <= 0 /\ 1+2*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+a^0+e^0+b^0 <= 0), cost: 1 Certificate of Non-Termination Original rule: l1 -> l1 : a^0'=d^0+e^0, b^0'=3*c^0+3*d^0+4*a^0+3*e^0+4*b^0, c^0'=-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0, d^0'=4*c^0+4*d^0+3*a^0+3*e^0+4*b^0, e^0'=-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0, (1+a^0+b^0 <= 0 /\ 1+c^0+d^0+a^0+e^0+2*b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+3*e^0+4*b^0 <= 0 /\ 1+c^0+d^0+b^0 <= 0 /\ 1+3*c^0+4*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+3*c^0+3*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+d^0+a^0+e^0+b^0 <= 0 /\ 1+d^0 <= 0 /\ 1+2*c^0+3*d^0+3*a^0+3*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+b^0 <= 0 /\ 1+3*c^0+3*d^0+3*a^0+2*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+2*a^0+2*e^0+3*b^0 <= 0 /\ 1+2*c^0+2*d^0+a^0+e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+d^0+2*a^0+e^0+2*b^0 <= 0 /\ 1+c^0+d^0+a^0+b^0 <= 0 /\ 1+2*c^0+3*d^0+2*a^0+2*e^0+2*b^0 <= 0 /\ 1+c^0+2*d^0+a^0+e^0+b^0 <= 0), cost: 1 New rule: l1 -> LoAT_sink : (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-d^0 >= 0 /\ -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -1-c^0-d^0-a^0-b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -1-b^0 >= 0 /\ -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -1-a^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), cost: NONTERM -1-c^0-d^0-a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-d^0 >= 0 [0]: fixpoint yields (-1-d^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-a^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-a^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-b^0 >= 0 [0]: fixpoint yields (-1-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-a^0-b^0 >= 0 [0]: fixpoint yields (-1-a^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 [0]: fixpoint yields (-1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-b^0 >= 0 [0]: fixpoint yields (-1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-d^0-a^0-e^0-b^0 >= 0 [0]: fixpoint yields (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 [0]: fixpoint yields (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 [0]: fixpoint yields (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0) Replacement map: {-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 -> (-1-c^0-d^0-a^0-e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-1-3*c^0-4*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 -> (-1-2*c^0-2*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 -> (-1-3*c^0-3*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-d^0 >= 0 -> (-1-d^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 -> (-1-2*c^0-3*d^0-3*a^0-3*e^0-3*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-a^0-b^0 >= 0 -> (-1-c^0-d^0-a^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 -> (-1-2*c^0-2*d^0-2*a^0-e^0-2*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-b^0 >= 0 -> (-1-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-2*d^0-a^0-e^0-b^0 >= 0 -> (-1-c^0-2*d^0-a^0-e^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-a^0-b^0 >= 0 -> (-1-a^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 -> (-1-3*c^0-3*d^0-3*a^0-3*e^0-4*b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-b^0 >= 0 -> (-1-c^0-d^0-b^0 >= 0 /\ -4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-d^0-a^0-e^0-b^0 >= 0 -> (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-d^0-a^0-e^0-b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 -> (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-3*c^0-3*d^0-3*a^0-2*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 -> (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-2*c^0-2*d^0-2*a^0-2*e^0-3*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 -> (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-2*c^0-2*d^0-a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-c^0-2*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 -> (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -1-c^0-d^0-2*a^0-e^0-2*b^0 >= 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0), -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 -> (-4*c^0-3*d^0-3*a^0-3*e^0-4*b^0 == 0 /\ -d^0+a^0-e^0 == 0 /\ -3*c^0-3*d^0-4*a^0-3*e^0-3*b^0 == 0 /\ 4*c^0+3*d^0+3*a^0+3*e^0+4*b^0 == 0 /\ -1-2*c^0-3*d^0-2*a^0-2*e^0-2*b^0 >= 0 /\ 3*c^0+4*d^0+3*a^0+4*e^0+3*b^0 == 0)} Trace 18[(1-sum^post1 <= 0)] Blocked [{}, {19[T], 20[T], 21[T], 22[T], 23[T], 24[T], 25[T], 26[T], 27[T], 28[T], 29[T], 30[T], 31[T], 32[T], 33[T], 34[T], 35[T]}] Backtrack Trace Blocked [{18[T]}] Accept unknown Build SHA: a05f16bf13df659c382799650051f91bf6828c7b