NO Initial ITS Start location: l7 0: l0 -> l1 : Result_4^0'=Result_4^post0, tmp_7^0'=tmp_7^post0, y_6^0'=y_6^post0, __disjvr_0^0'=__disjvr_0^post0, x_5^0'=x_5^post0, (0 == 0 /\ y_6^0-y_6^post0 == 0 /\ -x_5^post0+x_5^0 == 0 /\ y_6^0-x_5^0 <= 0 /\ -__disjvr_0^post0+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post0 == 0), cost: 1 1: l0 -> l2 : Result_4^0'=Result_4^post1, tmp_7^0'=tmp_7^post1, y_6^0'=y_6^post1, __disjvr_0^0'=__disjvr_0^post1, x_5^0'=x_5^post1, (0 == 0 /\ tmp_7^post1 <= 0 /\ -tmp_7^post1 <= 0 /\ Result_4^0-Result_4^post1 == 0 /\ -1+y_6^post1-y_6^0 == 0 /\ __disjvr_0^0-__disjvr_0^post1 == 0 /\ -x_5^post1+x_5^0 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 1 3: l0 -> l4 : Result_4^0'=Result_4^post3, tmp_7^0'=tmp_7^post3, y_6^0'=y_6^post3, __disjvr_0^0'=__disjvr_0^post3, x_5^0'=x_5^post3, (0 == 0 /\ -x_5^post3+x_5^0 == 0 /\ y_6^0-y_6^post3 == 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ 1-y_6^0+x_5^0 <= 0 /\ Result_4^0-Result_4^post3 == 0), cost: 1 2: l2 -> l0 : Result_4^0'=Result_4^post2, tmp_7^0'=tmp_7^post2, y_6^0'=y_6^post2, __disjvr_0^0'=__disjvr_0^post2, x_5^0'=x_5^post2, (Result_4^0-Result_4^post2 == 0 /\ -__disjvr_0^post2+__disjvr_0^0 == 0 /\ -y_6^post2+y_6^0 == 0 /\ tmp_7^0-tmp_7^post2 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 4: l4 -> l5 : Result_4^0'=Result_4^post4, tmp_7^0'=tmp_7^post4, y_6^0'=y_6^post4, __disjvr_0^0'=__disjvr_0^post4, x_5^0'=x_5^post4, (-x_5^post4+x_5^0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ -__disjvr_0^post4+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ tmp_7^0-tmp_7^post4 == 0 /\ __disjvr_0^post4-__disjvr_0^0 == 0), cost: 1 5: l5 -> l3 : Result_4^0'=Result_4^post5, tmp_7^0'=tmp_7^post5, y_6^0'=y_6^post5, __disjvr_0^0'=__disjvr_0^post5, x_5^0'=x_5^post5, (y_6^0-y_6^post5 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^0 == 0 /\ -1+x_5^post5-x_5^0 == 0 /\ tmp_7^0-tmp_7^post5 == 0), cost: 1 6: l3 -> l0 : Result_4^0'=Result_4^post6, tmp_7^0'=tmp_7^post6, y_6^0'=y_6^post6, __disjvr_0^0'=__disjvr_0^post6, x_5^0'=x_5^post6, (x_5^0-x_5^post6 == 0 /\ -y_6^post6+y_6^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ tmp_7^0-tmp_7^post6 == 0 /\ -__disjvr_0^post6+__disjvr_0^0 == 0), cost: 1 7: l6 -> l0 : Result_4^0'=Result_4^post7, tmp_7^0'=tmp_7^post7, y_6^0'=y_6^post7, __disjvr_0^0'=__disjvr_0^post7, x_5^0'=x_5^post7, (-__disjvr_0^post7+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post7 == 0 /\ Result_4^0-Result_4^post7 == 0 /\ y_6^0-y_6^post7 == 0 /\ -x_5^post7+x_5^0 == 0), cost: 1 8: l7 -> l6 : Result_4^0'=Result_4^post8, tmp_7^0'=tmp_7^post8, y_6^0'=y_6^post8, __disjvr_0^0'=__disjvr_0^post8, x_5^0'=x_5^post8, (-x_5^post8+x_5^0 == 0 /\ Result_4^0-Result_4^post8 == 0 /\ -__disjvr_0^post8+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post8 == 0 /\ -y_6^post8+y_6^0 == 0), cost: 1 Removed unreachable rules and leafs Start location: l7 1: l0 -> l2 : Result_4^0'=Result_4^post1, tmp_7^0'=tmp_7^post1, y_6^0'=y_6^post1, __disjvr_0^0'=__disjvr_0^post1, x_5^0'=x_5^post1, (0 == 0 /\ tmp_7^post1 <= 0 /\ -tmp_7^post1 <= 0 /\ Result_4^0-Result_4^post1 == 0 /\ -1+y_6^post1-y_6^0 == 0 /\ __disjvr_0^0-__disjvr_0^post1 == 0 /\ -x_5^post1+x_5^0 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 1 3: l0 -> l4 : Result_4^0'=Result_4^post3, tmp_7^0'=tmp_7^post3, y_6^0'=y_6^post3, __disjvr_0^0'=__disjvr_0^post3, x_5^0'=x_5^post3, (0 == 0 /\ -x_5^post3+x_5^0 == 0 /\ y_6^0-y_6^post3 == 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ 1-y_6^0+x_5^0 <= 0 /\ Result_4^0-Result_4^post3 == 0), cost: 1 2: l2 -> l0 : Result_4^0'=Result_4^post2, tmp_7^0'=tmp_7^post2, y_6^0'=y_6^post2, __disjvr_0^0'=__disjvr_0^post2, x_5^0'=x_5^post2, (Result_4^0-Result_4^post2 == 0 /\ -__disjvr_0^post2+__disjvr_0^0 == 0 /\ -y_6^post2+y_6^0 == 0 /\ tmp_7^0-tmp_7^post2 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 4: l4 -> l5 : Result_4^0'=Result_4^post4, tmp_7^0'=tmp_7^post4, y_6^0'=y_6^post4, __disjvr_0^0'=__disjvr_0^post4, x_5^0'=x_5^post4, (-x_5^post4+x_5^0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ -__disjvr_0^post4+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ tmp_7^0-tmp_7^post4 == 0 /\ __disjvr_0^post4-__disjvr_0^0 == 0), cost: 1 5: l5 -> l3 : Result_4^0'=Result_4^post5, tmp_7^0'=tmp_7^post5, y_6^0'=y_6^post5, __disjvr_0^0'=__disjvr_0^post5, x_5^0'=x_5^post5, (y_6^0-y_6^post5 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^0 == 0 /\ -1+x_5^post5-x_5^0 == 0 /\ tmp_7^0-tmp_7^post5 == 0), cost: 1 6: l3 -> l0 : Result_4^0'=Result_4^post6, tmp_7^0'=tmp_7^post6, y_6^0'=y_6^post6, __disjvr_0^0'=__disjvr_0^post6, x_5^0'=x_5^post6, (x_5^0-x_5^post6 == 0 /\ -y_6^post6+y_6^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ tmp_7^0-tmp_7^post6 == 0 /\ -__disjvr_0^post6+__disjvr_0^0 == 0), cost: 1 7: l6 -> l0 : Result_4^0'=Result_4^post7, tmp_7^0'=tmp_7^post7, y_6^0'=y_6^post7, __disjvr_0^0'=__disjvr_0^post7, x_5^0'=x_5^post7, (-__disjvr_0^post7+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post7 == 0 /\ Result_4^0-Result_4^post7 == 0 /\ y_6^0-y_6^post7 == 0 /\ -x_5^post7+x_5^0 == 0), cost: 1 8: l7 -> l6 : Result_4^0'=Result_4^post8, tmp_7^0'=tmp_7^post8, y_6^0'=y_6^post8, __disjvr_0^0'=__disjvr_0^post8, x_5^0'=x_5^post8, (-x_5^post8+x_5^0 == 0 /\ Result_4^0-Result_4^post8 == 0 /\ -__disjvr_0^post8+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post8 == 0 /\ -y_6^post8+y_6^0 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l2 : Result_4^0'=Result_4^post1, tmp_7^0'=tmp_7^post1, y_6^0'=y_6^post1, __disjvr_0^0'=__disjvr_0^post1, x_5^0'=x_5^post1, (0 == 0 /\ tmp_7^post1 <= 0 /\ -tmp_7^post1 <= 0 /\ Result_4^0-Result_4^post1 == 0 /\ -1+y_6^post1-y_6^0 == 0 /\ __disjvr_0^0-__disjvr_0^post1 == 0 /\ -x_5^post1+x_5^0 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 1 New rule: l0 -> l2 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 1 Applied preprocessing Original rule: l2 -> l0 : Result_4^0'=Result_4^post2, tmp_7^0'=tmp_7^post2, y_6^0'=y_6^post2, __disjvr_0^0'=__disjvr_0^post2, x_5^0'=x_5^post2, (Result_4^0-Result_4^post2 == 0 /\ -__disjvr_0^post2+__disjvr_0^0 == 0 /\ -y_6^post2+y_6^0 == 0 /\ tmp_7^0-tmp_7^post2 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 New rule: l2 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l0 -> l4 : Result_4^0'=Result_4^post3, tmp_7^0'=tmp_7^post3, y_6^0'=y_6^post3, __disjvr_0^0'=__disjvr_0^post3, x_5^0'=x_5^post3, (0 == 0 /\ -x_5^post3+x_5^0 == 0 /\ y_6^0-y_6^post3 == 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ 1-y_6^0+x_5^0 <= 0 /\ Result_4^0-Result_4^post3 == 0), cost: 1 New rule: l0 -> l4 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 1 Applied preprocessing Original rule: l4 -> l5 : Result_4^0'=Result_4^post4, tmp_7^0'=tmp_7^post4, y_6^0'=y_6^post4, __disjvr_0^0'=__disjvr_0^post4, x_5^0'=x_5^post4, (-x_5^post4+x_5^0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ -__disjvr_0^post4+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ tmp_7^0-tmp_7^post4 == 0 /\ __disjvr_0^post4-__disjvr_0^0 == 0), cost: 1 New rule: l4 -> l5 : 0 == 0, cost: 1 Applied preprocessing Original rule: l5 -> l3 : Result_4^0'=Result_4^post5, tmp_7^0'=tmp_7^post5, y_6^0'=y_6^post5, __disjvr_0^0'=__disjvr_0^post5, x_5^0'=x_5^post5, (y_6^0-y_6^post5 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^0 == 0 /\ -1+x_5^post5-x_5^0 == 0 /\ tmp_7^0-tmp_7^post5 == 0), cost: 1 New rule: l5 -> l3 : x_5^0'=1+x_5^0, TRUE, cost: 1 Applied preprocessing Original rule: l3 -> l0 : Result_4^0'=Result_4^post6, tmp_7^0'=tmp_7^post6, y_6^0'=y_6^post6, __disjvr_0^0'=__disjvr_0^post6, x_5^0'=x_5^post6, (x_5^0-x_5^post6 == 0 /\ -y_6^post6+y_6^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ tmp_7^0-tmp_7^post6 == 0 /\ -__disjvr_0^post6+__disjvr_0^0 == 0), cost: 1 New rule: l3 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l6 -> l0 : Result_4^0'=Result_4^post7, tmp_7^0'=tmp_7^post7, y_6^0'=y_6^post7, __disjvr_0^0'=__disjvr_0^post7, x_5^0'=x_5^post7, (-__disjvr_0^post7+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post7 == 0 /\ Result_4^0-Result_4^post7 == 0 /\ y_6^0-y_6^post7 == 0 /\ -x_5^post7+x_5^0 == 0), cost: 1 New rule: l6 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l6 : Result_4^0'=Result_4^post8, tmp_7^0'=tmp_7^post8, y_6^0'=y_6^post8, __disjvr_0^0'=__disjvr_0^post8, x_5^0'=x_5^post8, (-x_5^post8+x_5^0 == 0 /\ Result_4^0-Result_4^post8 == 0 /\ -__disjvr_0^post8+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post8 == 0 /\ -y_6^post8+y_6^0 == 0), cost: 1 New rule: l7 -> l6 : TRUE, cost: 1 Simplified rules Start location: l7 9: l0 -> l2 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 1 11: l0 -> l4 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 1 10: l2 -> l0 : TRUE, cost: 1 12: l4 -> l5 : 0 == 0, cost: 1 13: l5 -> l3 : x_5^0'=1+x_5^0, TRUE, cost: 1 14: l3 -> l0 : TRUE, cost: 1 15: l6 -> l0 : TRUE, cost: 1 16: l7 -> l6 : TRUE, cost: 1 Eliminating location l6 by chaining: Applied chaining First rule: l7 -> l6 : TRUE, cost: 1 Second rule: l6 -> l0 : TRUE, cost: 1 New rule: l7 -> l0 : TRUE, cost: 2 Applied deletion Removed the following rules: 15 16 Eliminating location l2 by chaining: Applied chaining First rule: l0 -> l2 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 1 Second rule: l2 -> l0 : TRUE, cost: 1 New rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 2 Applied deletion Removed the following rules: 9 10 Eliminating location l4 by chaining: Applied chaining First rule: l0 -> l4 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 1 Second rule: l4 -> l5 : 0 == 0, cost: 1 New rule: l0 -> l5 : tmp_7^0'=tmp_7^post3, (0 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 Applied simplification Original rule: l0 -> l5 : tmp_7^0'=tmp_7^post3, (0 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2 New rule: l0 -> l5 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 2 Applied deletion Removed the following rules: 11 12 Eliminating location l5 by chaining: Applied chaining First rule: l0 -> l5 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 2 Second rule: l5 -> l3 : x_5^0'=1+x_5^0, TRUE, cost: 1 New rule: l0 -> l3 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 3 Applied deletion Removed the following rules: 13 19 Eliminating location l3 by chaining: Applied chaining First rule: l0 -> l3 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 3 Second rule: l3 -> l0 : TRUE, cost: 1 New rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 4 Applied deletion Removed the following rules: 14 20 Eliminated locations on linear paths Start location: l7 18: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 2 21: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 4 17: l7 -> l0 : TRUE, cost: 2 Applied nonterm Original rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 2 New rule: l0 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM Applied acceleration Original rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 2 New rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=n1+y_6^0, -1+y_6^0-x_5^0 >= 0, cost: 2*n1 Applied acceleration Original rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 4 New rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=x_5^0+n3, (y_6^0-x_5^0-n3 >= 0 /\ -1+n3 >= 0), cost: 4*n3 Applied instantiation Original rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=x_5^0+n3, (y_6^0-x_5^0-n3 >= 0 /\ -1+n3 >= 0), cost: 4*n3 New rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (0 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 4*y_6^0-4*x_5^0 Applied chaining First rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 2 Second rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 4 New rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=1+y_6^0, x_5^0'=1+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 6 Applied nonterm Original rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=1+y_6^0, x_5^0'=1+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 6 New rule: l0 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM Applied acceleration Original rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=1+y_6^0, x_5^0'=1+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 6 New rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=n5+y_6^0, x_5^0'=n5+x_5^0, -1+y_6^0-x_5^0 >= 0, cost: 6*n5 Applied chaining First rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 4 Second rule: l0 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM New rule: l0 -> [8] : (-2+y_6^0-x_5^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied chaining First rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 4 Second rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=n5+y_6^0, x_5^0'=n5+x_5^0, -1+y_6^0-x_5^0 >= 0, cost: 6*n5 New rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=n5+y_6^0, x_5^0'=1+n5+x_5^0, (-2+y_6^0-x_5^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4+6*n5 Applied chaining First rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 4 Second rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 2 New rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+y_6^0, x_5^0'=1+x_5^0, 2-y_6^0+x_5^0 <= 0, cost: 6 Applied nonterm Original rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+y_6^0, x_5^0'=1+x_5^0, 2-y_6^0+x_5^0 <= 0, cost: 6 New rule: l0 -> [8] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM Applied acceleration Original rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+y_6^0, x_5^0'=1+x_5^0, 2-y_6^0+x_5^0 <= 0, cost: 6 New rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=n7+y_6^0, x_5^0'=n7+x_5^0, -2+y_6^0-x_5^0 >= 0, cost: 6*n7 Applied chaining First rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 2 Second rule: l0 -> [8] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM New rule: l0 -> [8] : (-1+y_6^0-x_5^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM Applied chaining First rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 2 Second rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=n7+y_6^0, x_5^0'=n7+x_5^0, -2+y_6^0-x_5^0 >= 0, cost: 6*n7 New rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+n7+y_6^0, x_5^0'=n7+x_5^0, (-1+y_6^0-x_5^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2+6*n7 Applied simplification Original rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (0 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 4*y_6^0-4*x_5^0 New rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, -1+y_6^0-x_5^0 >= 0, cost: 4*y_6^0-4*x_5^0 Applied simplification Original rule: l0 -> [8] : (-2+y_6^0-x_5^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM New rule: l0 -> [8] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM Applied simplification Original rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=n5+y_6^0, x_5^0'=1+n5+x_5^0, (-2+y_6^0-x_5^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4+6*n5 New rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=n5+y_6^0, x_5^0'=1+n5+x_5^0, -2+y_6^0-x_5^0 >= 0, cost: 4+6*n5 Applied simplification Original rule: l0 -> [8] : (-1+y_6^0-x_5^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM New rule: l0 -> [8] : 1-y_6^0+x_5^0 <= 0, cost: NONTERM Applied simplification Original rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+n7+y_6^0, x_5^0'=n7+x_5^0, (-1+y_6^0-x_5^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2+6*n7 New rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+n7+y_6^0, x_5^0'=n7+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 2+6*n7 Applied deletion Removed the following rules: 18 21 Applied deletion Removed the following rules: 22 29 Accelerated simple loops Start location: l7 23: l0 -> l0 : tmp_7^0'=0, y_6^0'=n1+y_6^0, -1+y_6^0-x_5^0 >= 0, cost: 2*n1 25: l0 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM 27: l0 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=n5+y_6^0, x_5^0'=n5+x_5^0, -1+y_6^0-x_5^0 >= 0, cost: 6*n5 31: l0 -> l0 : tmp_7^0'=0, y_6^0'=n7+y_6^0, x_5^0'=n7+x_5^0, -2+y_6^0-x_5^0 >= 0, cost: 6*n7 33: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, -1+y_6^0-x_5^0 >= 0, cost: 4*y_6^0-4*x_5^0 34: l0 -> [8] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM 35: l0 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=n5+y_6^0, x_5^0'=1+n5+x_5^0, -2+y_6^0-x_5^0 >= 0, cost: 4+6*n5 36: l0 -> [8] : 1-y_6^0+x_5^0 <= 0, cost: NONTERM 37: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+n7+y_6^0, x_5^0'=n7+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 2+6*n7 17: l7 -> l0 : TRUE, cost: 2 Applied chaining First rule: l7 -> l0 : TRUE, cost: 2 Second rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=n1+y_6^0, -1+y_6^0-x_5^0 >= 0, cost: 2*n1 New rule: l7 -> l0 : tmp_7^0'=0, y_6^0'=n1+y_6^0, -1+y_6^0-x_5^0 >= 0, cost: 2+2*n1 Applied chaining First rule: l7 -> l0 : TRUE, cost: 2 Second rule: l0 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM New rule: l7 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM Applied chaining First rule: l7 -> l0 : TRUE, cost: 2 Second rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=n5+y_6^0, x_5^0'=n5+x_5^0, -1+y_6^0-x_5^0 >= 0, cost: 6*n5 New rule: l7 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=n5+y_6^0, x_5^0'=n5+x_5^0, -1+y_6^0-x_5^0 >= 0, cost: 2+6*n5 Applied chaining First rule: l7 -> l0 : TRUE, cost: 2 Second rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=n7+y_6^0, x_5^0'=n7+x_5^0, -2+y_6^0-x_5^0 >= 0, cost: 6*n7 New rule: l7 -> l0 : tmp_7^0'=0, y_6^0'=n7+y_6^0, x_5^0'=n7+x_5^0, -2+y_6^0-x_5^0 >= 0, cost: 2+6*n7 Applied chaining First rule: l7 -> l0 : TRUE, cost: 2 Second rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, -1+y_6^0-x_5^0 >= 0, cost: 4*y_6^0-4*x_5^0 New rule: l7 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, -1+y_6^0-x_5^0 >= 0, cost: 2+4*y_6^0-4*x_5^0 Applied chaining First rule: l7 -> l0 : TRUE, cost: 2 Second rule: l0 -> [8] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM New rule: l7 -> [8] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM Applied chaining First rule: l7 -> l0 : TRUE, cost: 2 Second rule: l0 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=n5+y_6^0, x_5^0'=1+n5+x_5^0, -2+y_6^0-x_5^0 >= 0, cost: 4+6*n5 New rule: l7 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=n5+y_6^0, x_5^0'=1+n5+x_5^0, -2+y_6^0-x_5^0 >= 0, cost: 6+6*n5 Applied chaining First rule: l7 -> l0 : TRUE, cost: 2 Second rule: l0 -> [8] : 1-y_6^0+x_5^0 <= 0, cost: NONTERM New rule: l7 -> [8] : 1-y_6^0+x_5^0 <= 0, cost: NONTERM Applied chaining First rule: l7 -> l0 : TRUE, cost: 2 Second rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+n7+y_6^0, x_5^0'=n7+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 2+6*n7 New rule: l7 -> l0 : tmp_7^0'=0, y_6^0'=1+n7+y_6^0, x_5^0'=n7+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 4+6*n7 Applied deletion Removed the following rules: 23 25 27 31 33 34 35 36 37 Chained accelerated rules with incoming rules Start location: l7 17: l7 -> l0 : TRUE, cost: 2 38: l7 -> l0 : tmp_7^0'=0, y_6^0'=n1+y_6^0, -1+y_6^0-x_5^0 >= 0, cost: 2+2*n1 39: l7 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM 40: l7 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=n5+y_6^0, x_5^0'=n5+x_5^0, -1+y_6^0-x_5^0 >= 0, cost: 2+6*n5 41: l7 -> l0 : tmp_7^0'=0, y_6^0'=n7+y_6^0, x_5^0'=n7+x_5^0, -2+y_6^0-x_5^0 >= 0, cost: 2+6*n7 42: l7 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, -1+y_6^0-x_5^0 >= 0, cost: 2+4*y_6^0-4*x_5^0 43: l7 -> [8] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM 44: l7 -> l0 : tmp_7^0'=tmp_7^post3, y_6^0'=n5+y_6^0, x_5^0'=1+n5+x_5^0, -2+y_6^0-x_5^0 >= 0, cost: 6+6*n5 45: l7 -> [8] : 1-y_6^0+x_5^0 <= 0, cost: NONTERM 46: l7 -> l0 : tmp_7^0'=0, y_6^0'=1+n7+y_6^0, x_5^0'=n7+x_5^0, 1-y_6^0+x_5^0 <= 0, cost: 4+6*n7 Removed unreachable locations and irrelevant leafs Start location: l7 39: l7 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM 43: l7 -> [8] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM 45: l7 -> [8] : 1-y_6^0+x_5^0 <= 0, cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 39 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: -1+y_6^0-x_5^0 >= 0