NO Initial ITS Start location: l6 Program variables: __disjvr_0^0 result_4^0 tmp_7^0 x_5^0 y_6^0 0: l0 -> l1 : __disjvr_0^0'=__disjvr_0^post1, result_4^0'=result_4^post1, tmp_7^0'=tmp_7^post1, x_5^0'=x_5^post1, y_6^0'=y_6^post1, (0 == 0 /\ -x_5^post1+x_5^0 == 0 /\ tmp_7^0-tmp_7^post1 == 0 /\ -__disjvr_0^post1+__disjvr_0^0 == 0 /\ -y_6^post1+y_6^0 == 0 /\ -x_5^0+y_6^0 <= 0), cost: 1 1: l0 -> l2 : __disjvr_0^0'=__disjvr_0^post2, result_4^0'=result_4^post2, tmp_7^0'=tmp_7^post2, x_5^0'=x_5^post2, y_6^0'=y_6^post2, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ tmp_7^post2 <= 0 /\ 1+y_6^post2-y_6^0 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ -tmp_7^post2 <= 0 /\ -result_4^post2+result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 3: l0 -> l4 : __disjvr_0^0'=__disjvr_0^post4, result_4^0'=result_4^post4, tmp_7^0'=tmp_7^post4, x_5^0'=x_5^post4, y_6^0'=y_6^post4, (0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -result_4^post4+result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ -x_5^post4+x_5^0 == 0), cost: 1 2: l2 -> l0 : __disjvr_0^0'=__disjvr_0^post3, result_4^0'=result_4^post3, tmp_7^0'=tmp_7^post3, x_5^0'=x_5^post3, y_6^0'=y_6^post3, (-__disjvr_0^post3+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post3 == 0 /\ result_4^0-result_4^post3 == 0 /\ -x_5^post3+x_5^0 == 0 /\ -y_6^post3+y_6^0 == 0), cost: 1 4: l4 -> l3 : __disjvr_0^0'=__disjvr_0^post5, result_4^0'=result_4^post5, tmp_7^0'=tmp_7^post5, x_5^0'=x_5^post5, y_6^0'=y_6^post5, (tmp_7^0-tmp_7^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^0 == 0 /\ -y_6^post5+y_6^0 == 0 /\ __disjvr_0^post5-__disjvr_0^0 == 0 /\ result_4^0-result_4^post5 == 0 /\ -x_5^post5+x_5^0 == 0), cost: 1 5: l3 -> l0 : __disjvr_0^0'=__disjvr_0^post6, result_4^0'=result_4^post6, tmp_7^0'=tmp_7^post6, x_5^0'=x_5^post6, y_6^0'=y_6^post6, (tmp_7^0-tmp_7^post6 == 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0 /\ -result_4^post6+result_4^0 == 0 /\ x_5^0-x_5^post6 == 0 /\ -y_6^post6+y_6^0 == 0), cost: 1 6: l5 -> l0 : __disjvr_0^0'=__disjvr_0^post7, result_4^0'=result_4^post7, tmp_7^0'=tmp_7^post7, x_5^0'=x_5^post7, y_6^0'=y_6^post7, (-y_6^post7+y_6^0 == 0 /\ -__disjvr_0^post7+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post7 == 0 /\ -x_5^post7+x_5^0 == 0 /\ result_4^0-result_4^post7 == 0), cost: 1 7: l6 -> l5 : __disjvr_0^0'=__disjvr_0^post8, result_4^0'=result_4^post8, tmp_7^0'=tmp_7^post8, x_5^0'=x_5^post8, y_6^0'=y_6^post8, (x_5^0-x_5^post8 == 0 /\ -y_6^post8+y_6^0 == 0 /\ tmp_7^0-tmp_7^post8 == 0 /\ -result_4^post8+result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0), cost: 1 Chained Linear Paths Start location: l6 Program variables: __disjvr_0^0 result_4^0 tmp_7^0 x_5^0 y_6^0 0: l0 -> l1 : __disjvr_0^0'=__disjvr_0^post1, result_4^0'=result_4^post1, tmp_7^0'=tmp_7^post1, x_5^0'=x_5^post1, y_6^0'=y_6^post1, (0 == 0 /\ -x_5^post1+x_5^0 == 0 /\ tmp_7^0-tmp_7^post1 == 0 /\ -__disjvr_0^post1+__disjvr_0^0 == 0 /\ -y_6^post1+y_6^0 == 0 /\ -x_5^0+y_6^0 <= 0), cost: 1 9: l0 -> l0 : __disjvr_0^0'=__disjvr_0^post3, result_4^0'=result_4^post3, tmp_7^0'=tmp_7^post3, x_5^0'=x_5^post3, y_6^0'=y_6^post3, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -__disjvr_0^post3+__disjvr_0^post2 == 0 /\ tmp_7^post2 <= 0 /\ 1+y_6^post2-y_6^0 == 0 /\ result_4^post2-result_4^post3 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ -x_5^post3+x_5^post2 == 0 /\ -tmp_7^post2 <= 0 /\ tmp_7^post2-tmp_7^post3 == 0 /\ -y_6^post3+y_6^post2 == 0 /\ -result_4^post2+result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 11: l0 -> l0 : __disjvr_0^0'=__disjvr_0^post6, result_4^0'=result_4^post6, tmp_7^0'=tmp_7^post6, x_5^0'=x_5^post6, y_6^0'=y_6^post6, (0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -tmp_7^post6+tmp_7^post5 == 0 /\ -y_6^post5+y_6^post4 == 0 /\ -result_4^post4+result_4^0 == 0 /\ -result_4^post6+result_4^post5 == 0 /\ tmp_7^post4-tmp_7^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ x_5^post5-x_5^post6 == 0 /\ __disjvr_0^post5-__disjvr_0^post4 == 0 /\ -x_5^post5+x_5^post4 == 0 /\ __disjvr_0^post5-__disjvr_0^post6 == 0 /\ result_4^post4-result_4^post5 == 0 /\ -x_5^post4+x_5^0 == 0 /\ -y_6^post6+y_6^post5 == 0), cost: 1 8: l6 -> l0 : __disjvr_0^0'=__disjvr_0^post7, result_4^0'=result_4^post7, tmp_7^0'=tmp_7^post7, x_5^0'=x_5^post7, y_6^0'=y_6^post7, (result_4^post8-result_4^post7 == 0 /\ x_5^0-x_5^post8 == 0 /\ -y_6^post8+y_6^0 == 0 /\ tmp_7^0-tmp_7^post8 == 0 /\ -__disjvr_0^post7+__disjvr_0^post8 == 0 /\ y_6^post8-y_6^post7 == 0 /\ -x_5^post7+x_5^post8 == 0 /\ -result_4^post8+result_4^0 == 0 /\ tmp_7^post8-tmp_7^post7 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0), cost: 1 Eliminating location l5 by chaining: Applied chaining First rule: l6 -> l5 : __disjvr_0^0'=__disjvr_0^post8, result_4^0'=result_4^post8, tmp_7^0'=tmp_7^post8, x_5^0'=x_5^post8, y_6^0'=y_6^post8, (x_5^0-x_5^post8 == 0 /\ -y_6^post8+y_6^0 == 0 /\ tmp_7^0-tmp_7^post8 == 0 /\ -result_4^post8+result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0), cost: 1 Second rule: l5 -> l0 : __disjvr_0^0'=__disjvr_0^post7, result_4^0'=result_4^post7, tmp_7^0'=tmp_7^post7, x_5^0'=x_5^post7, y_6^0'=y_6^post7, (-y_6^post7+y_6^0 == 0 /\ -__disjvr_0^post7+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post7 == 0 /\ -x_5^post7+x_5^0 == 0 /\ result_4^0-result_4^post7 == 0), cost: 1 New rule: l6 -> l0 : __disjvr_0^0'=__disjvr_0^post7, result_4^0'=result_4^post7, tmp_7^0'=tmp_7^post7, x_5^0'=x_5^post7, y_6^0'=y_6^post7, (result_4^post8-result_4^post7 == 0 /\ x_5^0-x_5^post8 == 0 /\ -y_6^post8+y_6^0 == 0 /\ tmp_7^0-tmp_7^post8 == 0 /\ -__disjvr_0^post7+__disjvr_0^post8 == 0 /\ y_6^post8-y_6^post7 == 0 /\ -x_5^post7+x_5^post8 == 0 /\ -result_4^post8+result_4^0 == 0 /\ tmp_7^post8-tmp_7^post7 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0), cost: 1 Applied deletion Removed the following rules: 6 7 Eliminating location l2 by chaining: Applied chaining First rule: l0 -> l2 : __disjvr_0^0'=__disjvr_0^post2, result_4^0'=result_4^post2, tmp_7^0'=tmp_7^post2, x_5^0'=x_5^post2, y_6^0'=y_6^post2, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ tmp_7^post2 <= 0 /\ 1+y_6^post2-y_6^0 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ -tmp_7^post2 <= 0 /\ -result_4^post2+result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 Second rule: l2 -> l0 : __disjvr_0^0'=__disjvr_0^post3, result_4^0'=result_4^post3, tmp_7^0'=tmp_7^post3, x_5^0'=x_5^post3, y_6^0'=y_6^post3, (-__disjvr_0^post3+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post3 == 0 /\ result_4^0-result_4^post3 == 0 /\ -x_5^post3+x_5^0 == 0 /\ -y_6^post3+y_6^0 == 0), cost: 1 New rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^post3, result_4^0'=result_4^post3, tmp_7^0'=tmp_7^post3, x_5^0'=x_5^post3, y_6^0'=y_6^post3, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -__disjvr_0^post3+__disjvr_0^post2 == 0 /\ tmp_7^post2 <= 0 /\ 1+y_6^post2-y_6^0 == 0 /\ result_4^post2-result_4^post3 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ -x_5^post3+x_5^post2 == 0 /\ -tmp_7^post2 <= 0 /\ tmp_7^post2-tmp_7^post3 == 0 /\ -y_6^post3+y_6^post2 == 0 /\ -result_4^post2+result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 Applied deletion Removed the following rules: 1 2 Eliminating location l4 by chaining: Applied chaining First rule: l0 -> l4 : __disjvr_0^0'=__disjvr_0^post4, result_4^0'=result_4^post4, tmp_7^0'=tmp_7^post4, x_5^0'=x_5^post4, y_6^0'=y_6^post4, (0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -result_4^post4+result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ -x_5^post4+x_5^0 == 0), cost: 1 Second rule: l4 -> l3 : __disjvr_0^0'=__disjvr_0^post5, result_4^0'=result_4^post5, tmp_7^0'=tmp_7^post5, x_5^0'=x_5^post5, y_6^0'=y_6^post5, (tmp_7^0-tmp_7^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^0 == 0 /\ -y_6^post5+y_6^0 == 0 /\ __disjvr_0^post5-__disjvr_0^0 == 0 /\ result_4^0-result_4^post5 == 0 /\ -x_5^post5+x_5^0 == 0), cost: 1 New rule: l0 -> l3 : __disjvr_0^0'=__disjvr_0^post5, result_4^0'=result_4^post5, tmp_7^0'=tmp_7^post5, x_5^0'=x_5^post5, y_6^0'=y_6^post5, (0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -y_6^post5+y_6^post4 == 0 /\ -result_4^post4+result_4^0 == 0 /\ tmp_7^post4-tmp_7^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ __disjvr_0^post5-__disjvr_0^post4 == 0 /\ -x_5^post5+x_5^post4 == 0 /\ result_4^post4-result_4^post5 == 0 /\ -x_5^post4+x_5^0 == 0), cost: 1 Applied deletion Removed the following rules: 3 4 Eliminating location l3 by chaining: Applied chaining First rule: l0 -> l3 : __disjvr_0^0'=__disjvr_0^post5, result_4^0'=result_4^post5, tmp_7^0'=tmp_7^post5, x_5^0'=x_5^post5, y_6^0'=y_6^post5, (0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -y_6^post5+y_6^post4 == 0 /\ -result_4^post4+result_4^0 == 0 /\ tmp_7^post4-tmp_7^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ __disjvr_0^post5-__disjvr_0^post4 == 0 /\ -x_5^post5+x_5^post4 == 0 /\ result_4^post4-result_4^post5 == 0 /\ -x_5^post4+x_5^0 == 0), cost: 1 Second rule: l3 -> l0 : __disjvr_0^0'=__disjvr_0^post6, result_4^0'=result_4^post6, tmp_7^0'=tmp_7^post6, x_5^0'=x_5^post6, y_6^0'=y_6^post6, (tmp_7^0-tmp_7^post6 == 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0 /\ -result_4^post6+result_4^0 == 0 /\ x_5^0-x_5^post6 == 0 /\ -y_6^post6+y_6^0 == 0), cost: 1 New rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^post6, result_4^0'=result_4^post6, tmp_7^0'=tmp_7^post6, x_5^0'=x_5^post6, y_6^0'=y_6^post6, (0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -tmp_7^post6+tmp_7^post5 == 0 /\ -y_6^post5+y_6^post4 == 0 /\ -result_4^post4+result_4^0 == 0 /\ -result_4^post6+result_4^post5 == 0 /\ tmp_7^post4-tmp_7^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ x_5^post5-x_5^post6 == 0 /\ __disjvr_0^post5-__disjvr_0^post4 == 0 /\ -x_5^post5+x_5^post4 == 0 /\ __disjvr_0^post5-__disjvr_0^post6 == 0 /\ result_4^post4-result_4^post5 == 0 /\ -x_5^post4+x_5^0 == 0 /\ -y_6^post6+y_6^post5 == 0), cost: 1 Applied deletion Removed the following rules: 5 10 Simplified Transitions Start location: l6 Program variables: result_4^0 tmp_7^0 x_5^0 y_6^0 12: l0 -> l1 : result_4^0'=result_4^post1, -x_5^0+y_6^0 <= 0, cost: 1 14: l0 -> l0 : tmp_7^0'=0, y_6^0'=-1+y_6^0, 1+x_5^0-y_6^0 <= 0, cost: 1 15: l0 -> l0 : tmp_7^0'=tmp_7^post5, 1+x_5^0-y_6^0 <= 0, cost: 1 13: l6 -> l0 : T, cost: 1 Propagated Equalities Original rule: l0 -> l1 : __disjvr_0^0'=__disjvr_0^post1, result_4^0'=result_4^post1, tmp_7^0'=tmp_7^post1, x_5^0'=x_5^post1, y_6^0'=y_6^post1, (0 == 0 /\ -x_5^post1+x_5^0 == 0 /\ tmp_7^0-tmp_7^post1 == 0 /\ -__disjvr_0^post1+__disjvr_0^0 == 0 /\ -y_6^post1+y_6^0 == 0 /\ -x_5^0+y_6^0 <= 0), cost: 1 New rule: l0 -> l1 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^post1, tmp_7^0'=tmp_7^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ -x_5^0+y_6^0 <= 0), cost: 1 propagated equality x_5^post1 = x_5^0 propagated equality tmp_7^post1 = tmp_7^0 propagated equality __disjvr_0^post1 = __disjvr_0^0 propagated equality y_6^post1 = y_6^0 Simplified Guard Original rule: l0 -> l1 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^post1, tmp_7^0'=tmp_7^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ -x_5^0+y_6^0 <= 0), cost: 1 New rule: l0 -> l1 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^post1, tmp_7^0'=tmp_7^0, x_5^0'=x_5^0, y_6^0'=y_6^0, -x_5^0+y_6^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l0 -> l1 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^post1, tmp_7^0'=tmp_7^0, x_5^0'=x_5^0, y_6^0'=y_6^0, -x_5^0+y_6^0 <= 0, cost: 1 New rule: l0 -> l1 : result_4^0'=result_4^post1, -x_5^0+y_6^0 <= 0, cost: 1 Propagated Equalities Original rule: l6 -> l0 : __disjvr_0^0'=__disjvr_0^post7, result_4^0'=result_4^post7, tmp_7^0'=tmp_7^post7, x_5^0'=x_5^post7, y_6^0'=y_6^post7, (result_4^post8-result_4^post7 == 0 /\ x_5^0-x_5^post8 == 0 /\ -y_6^post8+y_6^0 == 0 /\ tmp_7^0-tmp_7^post8 == 0 /\ -__disjvr_0^post7+__disjvr_0^post8 == 0 /\ y_6^post8-y_6^post7 == 0 /\ -x_5^post7+x_5^post8 == 0 /\ -result_4^post8+result_4^0 == 0 /\ tmp_7^post8-tmp_7^post7 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0), cost: 1 New rule: l6 -> l0 : __disjvr_0^0'=__disjvr_0^post8, result_4^0'=result_4^post8, tmp_7^0'=tmp_7^post8, x_5^0'=x_5^post8, y_6^0'=y_6^post8, (0 == 0 /\ x_5^0-x_5^post8 == 0 /\ -y_6^post8+y_6^0 == 0 /\ tmp_7^0-tmp_7^post8 == 0 /\ -result_4^post8+result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0), cost: 1 propagated equality result_4^post7 = result_4^post8 propagated equality __disjvr_0^post7 = __disjvr_0^post8 propagated equality y_6^post7 = y_6^post8 propagated equality x_5^post7 = x_5^post8 propagated equality tmp_7^post7 = tmp_7^post8 Propagated Equalities Original rule: l6 -> l0 : __disjvr_0^0'=__disjvr_0^post8, result_4^0'=result_4^post8, tmp_7^0'=tmp_7^post8, x_5^0'=x_5^post8, y_6^0'=y_6^post8, (0 == 0 /\ x_5^0-x_5^post8 == 0 /\ -y_6^post8+y_6^0 == 0 /\ tmp_7^0-tmp_7^post8 == 0 /\ -result_4^post8+result_4^0 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0), cost: 1 New rule: l6 -> l0 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^0, tmp_7^0'=tmp_7^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 0 == 0, cost: 1 propagated equality x_5^post8 = x_5^0 propagated equality y_6^post8 = y_6^0 propagated equality tmp_7^post8 = tmp_7^0 propagated equality result_4^post8 = result_4^0 propagated equality __disjvr_0^post8 = __disjvr_0^0 Simplified Guard Original rule: l6 -> l0 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^0, tmp_7^0'=tmp_7^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 0 == 0, cost: 1 New rule: l6 -> l0 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^0, tmp_7^0'=tmp_7^0, x_5^0'=x_5^0, y_6^0'=y_6^0, T, cost: 1 Removed Trivial Updates Original rule: l6 -> l0 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^0, tmp_7^0'=tmp_7^0, x_5^0'=x_5^0, y_6^0'=y_6^0, T, cost: 1 New rule: l6 -> l0 : T, cost: 1 made implied equalities explicit Original rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^post3, result_4^0'=result_4^post3, tmp_7^0'=tmp_7^post3, x_5^0'=x_5^post3, y_6^0'=y_6^post3, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -__disjvr_0^post3+__disjvr_0^post2 == 0 /\ tmp_7^post2 <= 0 /\ 1+y_6^post2-y_6^0 == 0 /\ result_4^post2-result_4^post3 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ -x_5^post3+x_5^post2 == 0 /\ -tmp_7^post2 <= 0 /\ tmp_7^post2-tmp_7^post3 == 0 /\ -y_6^post3+y_6^post2 == 0 /\ -result_4^post2+result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 New rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^post3, result_4^0'=result_4^post3, tmp_7^0'=tmp_7^post3, x_5^0'=x_5^post3, y_6^0'=y_6^post3, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -__disjvr_0^post3+__disjvr_0^post2 == 0 /\ tmp_7^post2 <= 0 /\ tmp_7^post2 == 0 /\ 1+y_6^post2-y_6^0 == 0 /\ result_4^post2-result_4^post3 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ -x_5^post3+x_5^post2 == 0 /\ -tmp_7^post2 <= 0 /\ tmp_7^post2-tmp_7^post3 == 0 /\ -y_6^post3+y_6^post2 == 0 /\ -result_4^post2+result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 Propagated Equalities Original rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^post3, result_4^0'=result_4^post3, tmp_7^0'=tmp_7^post3, x_5^0'=x_5^post3, y_6^0'=y_6^post3, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -__disjvr_0^post3+__disjvr_0^post2 == 0 /\ tmp_7^post2 <= 0 /\ tmp_7^post2 == 0 /\ 1+y_6^post2-y_6^0 == 0 /\ result_4^post2-result_4^post3 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ -x_5^post3+x_5^post2 == 0 /\ -tmp_7^post2 <= 0 /\ tmp_7^post2-tmp_7^post3 == 0 /\ -y_6^post3+y_6^post2 == 0 /\ -result_4^post2+result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 New rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^post2, result_4^0'=result_4^post2, tmp_7^0'=tmp_7^post2, x_5^0'=x_5^post2, y_6^0'=y_6^post2, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ tmp_7^post2 <= 0 /\ tmp_7^post2 == 0 /\ 1+y_6^post2-y_6^0 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ -tmp_7^post2 <= 0 /\ -result_4^post2+result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 propagated equality __disjvr_0^post3 = __disjvr_0^post2 propagated equality result_4^post3 = result_4^post2 propagated equality x_5^post3 = x_5^post2 propagated equality tmp_7^post3 = tmp_7^post2 propagated equality y_6^post3 = y_6^post2 Propagated Equalities Original rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^post2, result_4^0'=result_4^post2, tmp_7^0'=tmp_7^post2, x_5^0'=x_5^post2, y_6^0'=y_6^post2, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ tmp_7^post2 <= 0 /\ tmp_7^post2 == 0 /\ 1+y_6^post2-y_6^0 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ -tmp_7^post2 <= 0 /\ -result_4^post2+result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 New rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^0, tmp_7^0'=0, x_5^0'=x_5^0, y_6^0'=-1+y_6^0, (0 <= 0 /\ 0 == 0 /\ 1+x_5^0-y_6^0 <= 0), cost: 1 propagated equality tmp_7^post2 = 0 propagated equality y_6^post2 = -1+y_6^0 propagated equality __disjvr_0^post2 = __disjvr_0^0 propagated equality result_4^post2 = result_4^0 propagated equality x_5^post2 = x_5^0 Simplified Guard Original rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^0, tmp_7^0'=0, x_5^0'=x_5^0, y_6^0'=-1+y_6^0, (0 <= 0 /\ 0 == 0 /\ 1+x_5^0-y_6^0 <= 0), cost: 1 New rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^0, tmp_7^0'=0, x_5^0'=x_5^0, y_6^0'=-1+y_6^0, 1+x_5^0-y_6^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^0, tmp_7^0'=0, x_5^0'=x_5^0, y_6^0'=-1+y_6^0, 1+x_5^0-y_6^0 <= 0, cost: 1 New rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=-1+y_6^0, 1+x_5^0-y_6^0 <= 0, cost: 1 Propagated Equalities Original rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^post6, result_4^0'=result_4^post6, tmp_7^0'=tmp_7^post6, x_5^0'=x_5^post6, y_6^0'=y_6^post6, (0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -tmp_7^post6+tmp_7^post5 == 0 /\ -y_6^post5+y_6^post4 == 0 /\ -result_4^post4+result_4^0 == 0 /\ -result_4^post6+result_4^post5 == 0 /\ tmp_7^post4-tmp_7^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ x_5^post5-x_5^post6 == 0 /\ __disjvr_0^post5-__disjvr_0^post4 == 0 /\ -x_5^post5+x_5^post4 == 0 /\ __disjvr_0^post5-__disjvr_0^post6 == 0 /\ result_4^post4-result_4^post5 == 0 /\ -x_5^post4+x_5^0 == 0 /\ -y_6^post6+y_6^post5 == 0), cost: 1 New rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^post5, result_4^0'=result_4^post5, tmp_7^0'=tmp_7^post5, x_5^0'=x_5^post5, y_6^0'=y_6^post5, (0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -y_6^post5+y_6^post4 == 0 /\ -result_4^post4+result_4^0 == 0 /\ tmp_7^post4-tmp_7^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ __disjvr_0^post5-__disjvr_0^post4 == 0 /\ -x_5^post5+x_5^post4 == 0 /\ result_4^post4-result_4^post5 == 0 /\ -x_5^post4+x_5^0 == 0), cost: 1 propagated equality tmp_7^post6 = tmp_7^post5 propagated equality result_4^post6 = result_4^post5 propagated equality x_5^post6 = x_5^post5 propagated equality __disjvr_0^post6 = __disjvr_0^post5 propagated equality y_6^post6 = y_6^post5 Propagated Equalities Original rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^post5, result_4^0'=result_4^post5, tmp_7^0'=tmp_7^post5, x_5^0'=x_5^post5, y_6^0'=y_6^post5, (0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -y_6^post5+y_6^post4 == 0 /\ -result_4^post4+result_4^0 == 0 /\ tmp_7^post4-tmp_7^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ __disjvr_0^post5-__disjvr_0^post4 == 0 /\ -x_5^post5+x_5^post4 == 0 /\ result_4^post4-result_4^post5 == 0 /\ -x_5^post4+x_5^0 == 0), cost: 1 New rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^0, tmp_7^0'=tmp_7^post5, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0), cost: 1 propagated equality y_6^post4 = y_6^0 propagated equality y_6^post5 = y_6^0 propagated equality result_4^post4 = result_4^0 propagated equality tmp_7^post4 = tmp_7^post5 propagated equality __disjvr_0^post4 = __disjvr_0^post5 propagated equality __disjvr_0^post5 = __disjvr_0^0 propagated equality x_5^post4 = x_5^post5 propagated equality result_4^post5 = result_4^0 propagated equality x_5^post5 = x_5^0 Simplified Guard Original rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^0, tmp_7^0'=tmp_7^post5, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0), cost: 1 New rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^0, tmp_7^0'=tmp_7^post5, x_5^0'=x_5^0, y_6^0'=y_6^0, 1+x_5^0-y_6^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l0 -> l0 : __disjvr_0^0'=__disjvr_0^0, result_4^0'=result_4^0, tmp_7^0'=tmp_7^post5, x_5^0'=x_5^0, y_6^0'=y_6^0, 1+x_5^0-y_6^0 <= 0, cost: 1 New rule: l0 -> l0 : tmp_7^0'=tmp_7^post5, 1+x_5^0-y_6^0 <= 0, cost: 1 Step with 13 Trace 13[T] Blocked [{}, {}] Step with 12 Trace 13[T], 12[(-x_5^0+y_6^0 <= 0)] Blocked [{}, {}, {}] Backtrack Trace 13[T] Blocked [{}, {12[T]}] Step with 14 Trace 13[T], 14[(1+x_5^0-y_6^0 <= 0)] Blocked [{}, {12[T]}, {}] Accelerate Start location: l6 Program variables: result_4^0 tmp_7^0 x_5^0 y_6^0 12: l0 -> l1 : result_4^0'=result_4^post1, -x_5^0+y_6^0 <= 0, cost: 1 14: l0 -> l0 : tmp_7^0'=0, y_6^0'=-1+y_6^0, 1+x_5^0-y_6^0 <= 0, cost: 1 15: l0 -> l0 : tmp_7^0'=tmp_7^post5, 1+x_5^0-y_6^0 <= 0, cost: 1 16: l0 -> l0 : tmp_7^0'=0, y_6^0'=y_6^0-n, (-x_5^0+y_6^0-n >= 0 /\ -1+n >= 0), cost: 1 13: l6 -> l0 : T, cost: 1 Loop Acceleration Original rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=-1+y_6^0, (1+x_5^0-y_6^0 <= 0), cost: 1 New rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=y_6^0-n, (-x_5^0+y_6^0-n >= 0 /\ -1+n >= 0), cost: 1 -1-x_5^0+y_6^0 >= 0 [0]: montonic decrease yields -x_5^0+y_6^0-n >= 0 -1-x_5^0+y_6^0 >= 0 [1]: eventual increase yields (1 <= 0 /\ -1-x_5^0+y_6^0 >= 0) Replacement map: {-1-x_5^0+y_6^0 >= 0 -> -x_5^0+y_6^0-n >= 0} Trace 13[T], 16[(-x_5^0+y_6^0-n >= 0 /\ -1+n >= 0)] Blocked [{}, {12[T]}, {14[T], 16[T]}] Step with 12 Trace 13[T], 16[(-x_5^0+y_6^0-n >= 0 /\ -1+n >= 0)], 12[(-x_5^0+y_6^0 <= 0)] Blocked [{}, {12[T]}, {14[T], 16[T]}, {}] Backtrack Trace 13[T], 16[(-x_5^0+y_6^0-n >= 0 /\ -1+n >= 0)] Blocked [{}, {12[T]}, {12[T], 14[T], 16[T]}] Step with 15 Trace 13[T], 16[(-x_5^0+y_6^0-n >= 0 /\ -1+n >= 0)], 15[(1+x_5^0-y_6^0 <= 0)] Blocked [{}, {12[T]}, {12[T], 14[T], 16[T]}, {}] Nonterm Start location: l6 Program variables: result_4^0 tmp_7^0 x_5^0 y_6^0 12: l0 -> l1 : result_4^0'=result_4^post1, -x_5^0+y_6^0 <= 0, cost: 1 14: l0 -> l0 : tmp_7^0'=0, y_6^0'=-1+y_6^0, 1+x_5^0-y_6^0 <= 0, cost: 1 15: l0 -> l0 : tmp_7^0'=tmp_7^post5, 1+x_5^0-y_6^0 <= 0, cost: 1 16: l0 -> l0 : tmp_7^0'=0, y_6^0'=y_6^0-n, (-x_5^0+y_6^0-n >= 0 /\ -1+n >= 0), cost: 1 17: l0 -> LoAT_sink : (-1-x_5^0+y_6^0 >= 0 /\ -1+n2 >= 0), cost: NONTERM 13: l6 -> l0 : T, cost: 1 Certificate of Non-Termination Original rule: l0 -> l0 : tmp_7^0'=tmp_7^post5, (1+x_5^0-y_6^0 <= 0), cost: 1 New rule: l0 -> LoAT_sink : (-1-x_5^0+y_6^0 >= 0 /\ -1+n2 >= 0), cost: NONTERM -1-x_5^0+y_6^0 >= 0 [0]: monotonic increase yields -1-x_5^0+y_6^0 >= 0 Replacement map: {-1-x_5^0+y_6^0 >= 0 -> -1-x_5^0+y_6^0 >= 0} Step with 17 Trace 13[T], 16[(-x_5^0+y_6^0-n >= 0 /\ -1+n >= 0)], 17[(-1-x_5^0+y_6^0 >= 0 /\ -1+n2 >= 0)] Blocked [{}, {12[T]}, {12[T], 14[T], 16[T]}, {17[T]}] Refute Counterexample [ result_4^0=0 tmp_7^0=0 x_5^0=0 y_6^0=2 ] 13 [ result_4^0=0 tmp_7^0=0 x_5^0=0 y_6^0=1 ] 16 [ result_4^0=0 tmp_7^0=0 x_5^0=0 y_6^0=2 ] 17 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b