NO Initial ITS Start location: l4 Program variables: cnt_29^0 lt_10^0 lt_11^0 lt_12^0 px_8^0 py_6^0 q_9^0 result_4^0 x_7^0 y_5^0 0: l0 -> l1 : cnt_29^0'=cnt_29^post1, lt_10^0'=lt_10^post1, lt_11^0'=lt_11^post1, lt_12^0'=lt_12^post1, px_8^0'=px_8^post1, py_6^0'=py_6^post1, q_9^0'=q_9^post1, result_4^0'=result_4^post1, x_7^0'=x_7^post1, y_5^0'=y_5^post1, (0 == 0 /\ q_9^0-q_9^post1 == 0 /\ -py_6^post1+py_6^0 == 0 /\ lt_11^1-x_7^0 == 0 /\ lt_10^1-cnt_29^0 == 0 /\ result_4^0-result_4^post1 == 0 /\ lt_12^1-cnt_29^0 == 0 /\ 1-lt_12^1 <= 0 /\ y_5^0-y_5^post1 == 0 /\ -cnt_29^post1+cnt_29^0 == 0 /\ -x_7^post1+x_7^0 == 0 /\ px_8^0-px_8^post1 == 0), cost: 1 2: l0 -> l2 : cnt_29^0'=cnt_29^post3, lt_10^0'=lt_10^post3, lt_11^0'=lt_11^post3, lt_12^0'=lt_12^post3, px_8^0'=px_8^post3, py_6^0'=py_6^post3, q_9^0'=q_9^post3, result_4^0'=result_4^post3, x_7^0'=x_7^post3, y_5^0'=y_5^post3, (0 == 0 /\ -cnt_29^post3+cnt_29^0 == 0 /\ -lt_10^post3+lt_10^0 == 0 /\ px_8^0-px_8^post3 == 0 /\ -q_9^post3+q_9^0 == 0 /\ -y_5^post3+y_5^0 == 0 /\ lt_11^1-x_7^0 == 0 /\ lt_12^1 <= 0 /\ lt_12^1-cnt_29^0 == 0 /\ py_6^0-py_6^post3 == 0 /\ -x_7^post3+x_7^0 == 0), cost: 1 1: l1 -> l0 : cnt_29^0'=cnt_29^post2, lt_10^0'=lt_10^post2, lt_11^0'=lt_11^post2, lt_12^0'=lt_12^post2, px_8^0'=px_8^post2, py_6^0'=py_6^post2, q_9^0'=q_9^post2, result_4^0'=result_4^post2, x_7^0'=x_7^post2, y_5^0'=y_5^post2, (-lt_10^post2+lt_10^0 == 0 /\ -x_7^post2+x_7^0 == 0 /\ -py_6^post2+py_6^0 == 0 /\ result_4^0-result_4^post2 == 0 /\ -lt_12^post2+lt_12^0 == 0 /\ -cnt_29^post2+cnt_29^0 == 0 /\ -q_9^post2+q_9^0 == 0 /\ lt_11^0-lt_11^post2 == 0 /\ y_5^0-y_5^post2 == 0 /\ px_8^0-px_8^post2 == 0), cost: 1 3: l3 -> l0 : cnt_29^0'=cnt_29^post4, lt_10^0'=lt_10^post4, lt_11^0'=lt_11^post4, lt_12^0'=lt_12^post4, px_8^0'=px_8^post4, py_6^0'=py_6^post4, q_9^0'=q_9^post4, result_4^0'=result_4^post4, x_7^0'=x_7^post4, y_5^0'=y_5^post4, (0 == 0 /\ result_4^0-result_4^post4 == 0 /\ py_6^post4-y_5^post4 == 0 /\ q_9^post4-px_8^post4 == 0 /\ -lt_12^post4+lt_12^0 == 0 /\ -lt_10^post4+lt_10^0 == 0 /\ -cnt_29^post4+cnt_29^0 == 0 /\ -lt_11^post4+lt_11^0 == 0), cost: 1 4: l4 -> l3 : cnt_29^0'=cnt_29^post5, lt_10^0'=lt_10^post5, lt_11^0'=lt_11^post5, lt_12^0'=lt_12^post5, px_8^0'=px_8^post5, py_6^0'=py_6^post5, q_9^0'=q_9^post5, result_4^0'=result_4^post5, x_7^0'=x_7^post5, y_5^0'=y_5^post5, (-lt_10^post5+lt_10^0 == 0 /\ -result_4^post5+result_4^0 == 0 /\ y_5^0-y_5^post5 == 0 /\ px_8^0-px_8^post5 == 0 /\ lt_11^0-lt_11^post5 == 0 /\ -py_6^post5+py_6^0 == 0 /\ lt_12^0-lt_12^post5 == 0 /\ -x_7^post5+x_7^0 == 0 /\ q_9^0-q_9^post5 == 0 /\ cnt_29^0-cnt_29^post5 == 0), cost: 1 Chained Linear Paths Start location: l4 Program variables: cnt_29^0 lt_10^0 lt_11^0 lt_12^0 px_8^0 py_6^0 q_9^0 result_4^0 x_7^0 y_5^0 2: l0 -> l2 : cnt_29^0'=cnt_29^post3, lt_10^0'=lt_10^post3, lt_11^0'=lt_11^post3, lt_12^0'=lt_12^post3, px_8^0'=px_8^post3, py_6^0'=py_6^post3, q_9^0'=q_9^post3, result_4^0'=result_4^post3, x_7^0'=x_7^post3, y_5^0'=y_5^post3, (0 == 0 /\ -cnt_29^post3+cnt_29^0 == 0 /\ -lt_10^post3+lt_10^0 == 0 /\ px_8^0-px_8^post3 == 0 /\ -q_9^post3+q_9^0 == 0 /\ -y_5^post3+y_5^0 == 0 /\ lt_11^1-x_7^0 == 0 /\ lt_12^1 <= 0 /\ lt_12^1-cnt_29^0 == 0 /\ py_6^0-py_6^post3 == 0 /\ -x_7^post3+x_7^0 == 0), cost: 1 6: l0 -> l0 : cnt_29^0'=cnt_29^post2, lt_10^0'=lt_10^post2, lt_11^0'=lt_11^post2, lt_12^0'=lt_12^post2, px_8^0'=px_8^post2, py_6^0'=py_6^post2, q_9^0'=q_9^post2, result_4^0'=result_4^post2, x_7^0'=x_7^post2, y_5^0'=y_5^post2, (0 == 0 /\ -lt_12^post2+lt_12^post1 == 0 /\ x_7^post1-x_7^post2 == 0 /\ q_9^0-q_9^post1 == 0 /\ -py_6^post1+py_6^0 == 0 /\ lt_11^1-x_7^0 == 0 /\ lt_10^1-cnt_29^0 == 0 /\ -px_8^post2+px_8^post1 == 0 /\ result_4^0-result_4^post1 == 0 /\ lt_12^1-cnt_29^0 == 0 /\ 1-lt_12^1 <= 0 /\ py_6^post1-py_6^post2 == 0 /\ -lt_11^post2+lt_11^post1 == 0 /\ y_5^0-y_5^post1 == 0 /\ result_4^post1-result_4^post2 == 0 /\ -lt_10^post2+lt_10^post1 == 0 /\ -cnt_29^post1+cnt_29^0 == 0 /\ -q_9^post2+q_9^post1 == 0 /\ -x_7^post1+x_7^0 == 0 /\ px_8^0-px_8^post1 == 0 /\ y_5^post1-y_5^post2 == 0 /\ -cnt_29^post2+cnt_29^post1 == 0), cost: 1 5: l4 -> l0 : cnt_29^0'=cnt_29^post4, lt_10^0'=lt_10^post4, lt_11^0'=lt_11^post4, lt_12^0'=lt_12^post4, px_8^0'=px_8^post4, py_6^0'=py_6^post4, q_9^0'=q_9^post4, result_4^0'=result_4^post4, x_7^0'=x_7^post4, y_5^0'=y_5^post4, (0 == 0 /\ -cnt_29^post4+cnt_29^post5 == 0 /\ -lt_12^post4+lt_12^post5 == 0 /\ -lt_10^post5+lt_10^0 == 0 /\ lt_10^post5-lt_10^post4 == 0 /\ py_6^post4-y_5^post4 == 0 /\ q_9^post4-px_8^post4 == 0 /\ -result_4^post5+result_4^0 == 0 /\ y_5^0-y_5^post5 == 0 /\ px_8^0-px_8^post5 == 0 /\ lt_11^0-lt_11^post5 == 0 /\ -lt_11^post4+lt_11^post5 == 0 /\ -py_6^post5+py_6^0 == 0 /\ lt_12^0-lt_12^post5 == 0 /\ -x_7^post5+x_7^0 == 0 /\ result_4^post5-result_4^post4 == 0 /\ q_9^0-q_9^post5 == 0 /\ cnt_29^0-cnt_29^post5 == 0), cost: 1 Eliminating location l3 by chaining: Applied chaining First rule: l4 -> l3 : cnt_29^0'=cnt_29^post5, lt_10^0'=lt_10^post5, lt_11^0'=lt_11^post5, lt_12^0'=lt_12^post5, px_8^0'=px_8^post5, py_6^0'=py_6^post5, q_9^0'=q_9^post5, result_4^0'=result_4^post5, x_7^0'=x_7^post5, y_5^0'=y_5^post5, (-lt_10^post5+lt_10^0 == 0 /\ -result_4^post5+result_4^0 == 0 /\ y_5^0-y_5^post5 == 0 /\ px_8^0-px_8^post5 == 0 /\ lt_11^0-lt_11^post5 == 0 /\ -py_6^post5+py_6^0 == 0 /\ lt_12^0-lt_12^post5 == 0 /\ -x_7^post5+x_7^0 == 0 /\ q_9^0-q_9^post5 == 0 /\ cnt_29^0-cnt_29^post5 == 0), cost: 1 Second rule: l3 -> l0 : cnt_29^0'=cnt_29^post4, lt_10^0'=lt_10^post4, lt_11^0'=lt_11^post4, lt_12^0'=lt_12^post4, px_8^0'=px_8^post4, py_6^0'=py_6^post4, q_9^0'=q_9^post4, result_4^0'=result_4^post4, x_7^0'=x_7^post4, y_5^0'=y_5^post4, (0 == 0 /\ result_4^0-result_4^post4 == 0 /\ py_6^post4-y_5^post4 == 0 /\ q_9^post4-px_8^post4 == 0 /\ -lt_12^post4+lt_12^0 == 0 /\ -lt_10^post4+lt_10^0 == 0 /\ -cnt_29^post4+cnt_29^0 == 0 /\ -lt_11^post4+lt_11^0 == 0), cost: 1 New rule: l4 -> l0 : cnt_29^0'=cnt_29^post4, lt_10^0'=lt_10^post4, lt_11^0'=lt_11^post4, lt_12^0'=lt_12^post4, px_8^0'=px_8^post4, py_6^0'=py_6^post4, q_9^0'=q_9^post4, result_4^0'=result_4^post4, x_7^0'=x_7^post4, y_5^0'=y_5^post4, (0 == 0 /\ -cnt_29^post4+cnt_29^post5 == 0 /\ -lt_12^post4+lt_12^post5 == 0 /\ -lt_10^post5+lt_10^0 == 0 /\ lt_10^post5-lt_10^post4 == 0 /\ py_6^post4-y_5^post4 == 0 /\ q_9^post4-px_8^post4 == 0 /\ -result_4^post5+result_4^0 == 0 /\ y_5^0-y_5^post5 == 0 /\ px_8^0-px_8^post5 == 0 /\ lt_11^0-lt_11^post5 == 0 /\ -lt_11^post4+lt_11^post5 == 0 /\ -py_6^post5+py_6^0 == 0 /\ lt_12^0-lt_12^post5 == 0 /\ -x_7^post5+x_7^0 == 0 /\ result_4^post5-result_4^post4 == 0 /\ q_9^0-q_9^post5 == 0 /\ cnt_29^0-cnt_29^post5 == 0), cost: 1 Applied deletion Removed the following rules: 3 4 Eliminating location l1 by chaining: Applied chaining First rule: l0 -> l1 : cnt_29^0'=cnt_29^post1, lt_10^0'=lt_10^post1, lt_11^0'=lt_11^post1, lt_12^0'=lt_12^post1, px_8^0'=px_8^post1, py_6^0'=py_6^post1, q_9^0'=q_9^post1, result_4^0'=result_4^post1, x_7^0'=x_7^post1, y_5^0'=y_5^post1, (0 == 0 /\ q_9^0-q_9^post1 == 0 /\ -py_6^post1+py_6^0 == 0 /\ lt_11^1-x_7^0 == 0 /\ lt_10^1-cnt_29^0 == 0 /\ result_4^0-result_4^post1 == 0 /\ lt_12^1-cnt_29^0 == 0 /\ 1-lt_12^1 <= 0 /\ y_5^0-y_5^post1 == 0 /\ -cnt_29^post1+cnt_29^0 == 0 /\ -x_7^post1+x_7^0 == 0 /\ px_8^0-px_8^post1 == 0), cost: 1 Second rule: l1 -> l0 : cnt_29^0'=cnt_29^post2, lt_10^0'=lt_10^post2, lt_11^0'=lt_11^post2, lt_12^0'=lt_12^post2, px_8^0'=px_8^post2, py_6^0'=py_6^post2, q_9^0'=q_9^post2, result_4^0'=result_4^post2, x_7^0'=x_7^post2, y_5^0'=y_5^post2, (-lt_10^post2+lt_10^0 == 0 /\ -x_7^post2+x_7^0 == 0 /\ -py_6^post2+py_6^0 == 0 /\ result_4^0-result_4^post2 == 0 /\ -lt_12^post2+lt_12^0 == 0 /\ -cnt_29^post2+cnt_29^0 == 0 /\ -q_9^post2+q_9^0 == 0 /\ lt_11^0-lt_11^post2 == 0 /\ y_5^0-y_5^post2 == 0 /\ px_8^0-px_8^post2 == 0), cost: 1 New rule: l0 -> l0 : cnt_29^0'=cnt_29^post2, lt_10^0'=lt_10^post2, lt_11^0'=lt_11^post2, lt_12^0'=lt_12^post2, px_8^0'=px_8^post2, py_6^0'=py_6^post2, q_9^0'=q_9^post2, result_4^0'=result_4^post2, x_7^0'=x_7^post2, y_5^0'=y_5^post2, (0 == 0 /\ -lt_12^post2+lt_12^post1 == 0 /\ x_7^post1-x_7^post2 == 0 /\ q_9^0-q_9^post1 == 0 /\ -py_6^post1+py_6^0 == 0 /\ lt_11^1-x_7^0 == 0 /\ lt_10^1-cnt_29^0 == 0 /\ -px_8^post2+px_8^post1 == 0 /\ result_4^0-result_4^post1 == 0 /\ lt_12^1-cnt_29^0 == 0 /\ 1-lt_12^1 <= 0 /\ py_6^post1-py_6^post2 == 0 /\ -lt_11^post2+lt_11^post1 == 0 /\ y_5^0-y_5^post1 == 0 /\ result_4^post1-result_4^post2 == 0 /\ -lt_10^post2+lt_10^post1 == 0 /\ -cnt_29^post1+cnt_29^0 == 0 /\ -q_9^post2+q_9^post1 == 0 /\ -x_7^post1+x_7^0 == 0 /\ px_8^0-px_8^post1 == 0 /\ y_5^post1-y_5^post2 == 0 /\ -cnt_29^post2+cnt_29^post1 == 0), cost: 1 Applied deletion Removed the following rules: 0 1 Simplified Transitions Start location: l4 Program variables: cnt_29^0 lt_10^0 lt_11^0 lt_12^0 px_8^0 py_6^0 q_9^0 result_4^0 x_7^0 y_5^0 7: l0 -> l2 : lt_11^0'=lt_11^post3, lt_12^0'=lt_12^post3, result_4^0'=result_4^post3, cnt_29^0 <= 0, cost: 1 9: l0 -> l0 : lt_10^0'=lt_10^post1, lt_11^0'=lt_11^post1, lt_12^0'=lt_12^post1, 1-cnt_29^0 <= 0, cost: 1 8: l4 -> l0 : px_8^0'=q_9^post4, py_6^0'=y_5^post4, q_9^0'=q_9^post4, x_7^0'=x_7^post4, y_5^0'=y_5^post4, T, cost: 1 Propagated Equalities Original rule: l0 -> l2 : cnt_29^0'=cnt_29^post3, lt_10^0'=lt_10^post3, lt_11^0'=lt_11^post3, lt_12^0'=lt_12^post3, px_8^0'=px_8^post3, py_6^0'=py_6^post3, q_9^0'=q_9^post3, result_4^0'=result_4^post3, x_7^0'=x_7^post3, y_5^0'=y_5^post3, (0 == 0 /\ -cnt_29^post3+cnt_29^0 == 0 /\ -lt_10^post3+lt_10^0 == 0 /\ px_8^0-px_8^post3 == 0 /\ -q_9^post3+q_9^0 == 0 /\ -y_5^post3+y_5^0 == 0 /\ lt_11^1-x_7^0 == 0 /\ lt_12^1 <= 0 /\ lt_12^1-cnt_29^0 == 0 /\ py_6^0-py_6^post3 == 0 /\ -x_7^post3+x_7^0 == 0), cost: 1 New rule: l0 -> l2 : cnt_29^0'=cnt_29^0, lt_10^0'=lt_10^0, lt_11^0'=lt_11^post3, lt_12^0'=lt_12^post3, px_8^0'=px_8^0, py_6^0'=py_6^0, q_9^0'=q_9^0, result_4^0'=result_4^post3, x_7^0'=x_7^0, y_5^0'=y_5^0, (0 == 0 /\ lt_11^1-x_7^0 == 0 /\ lt_12^1 <= 0 /\ lt_12^1-cnt_29^0 == 0), cost: 1 propagated equality cnt_29^post3 = cnt_29^0 propagated equality lt_10^post3 = lt_10^0 propagated equality px_8^post3 = px_8^0 propagated equality q_9^post3 = q_9^0 propagated equality y_5^post3 = y_5^0 propagated equality py_6^post3 = py_6^0 propagated equality x_7^post3 = x_7^0 Propagated Equalities Original rule: l0 -> l2 : cnt_29^0'=cnt_29^0, lt_10^0'=lt_10^0, lt_11^0'=lt_11^post3, lt_12^0'=lt_12^post3, px_8^0'=px_8^0, py_6^0'=py_6^0, q_9^0'=q_9^0, result_4^0'=result_4^post3, x_7^0'=x_7^0, y_5^0'=y_5^0, (0 == 0 /\ lt_11^1-x_7^0 == 0 /\ lt_12^1 <= 0 /\ lt_12^1-cnt_29^0 == 0), cost: 1 New rule: l0 -> l2 : cnt_29^0'=cnt_29^0, lt_10^0'=lt_10^0, lt_11^0'=lt_11^post3, lt_12^0'=lt_12^post3, px_8^0'=px_8^0, py_6^0'=py_6^0, q_9^0'=q_9^0, result_4^0'=result_4^post3, x_7^0'=x_7^0, y_5^0'=y_5^0, (0 == 0 /\ cnt_29^0 <= 0), cost: 1 propagated equality lt_11^1 = x_7^0 propagated equality lt_12^1 = cnt_29^0 Simplified Guard Original rule: l0 -> l2 : cnt_29^0'=cnt_29^0, lt_10^0'=lt_10^0, lt_11^0'=lt_11^post3, lt_12^0'=lt_12^post3, px_8^0'=px_8^0, py_6^0'=py_6^0, q_9^0'=q_9^0, result_4^0'=result_4^post3, x_7^0'=x_7^0, y_5^0'=y_5^0, (0 == 0 /\ cnt_29^0 <= 0), cost: 1 New rule: l0 -> l2 : cnt_29^0'=cnt_29^0, lt_10^0'=lt_10^0, lt_11^0'=lt_11^post3, lt_12^0'=lt_12^post3, px_8^0'=px_8^0, py_6^0'=py_6^0, q_9^0'=q_9^0, result_4^0'=result_4^post3, x_7^0'=x_7^0, y_5^0'=y_5^0, cnt_29^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l0 -> l2 : cnt_29^0'=cnt_29^0, lt_10^0'=lt_10^0, lt_11^0'=lt_11^post3, lt_12^0'=lt_12^post3, px_8^0'=px_8^0, py_6^0'=py_6^0, q_9^0'=q_9^0, result_4^0'=result_4^post3, x_7^0'=x_7^0, y_5^0'=y_5^0, cnt_29^0 <= 0, cost: 1 New rule: l0 -> l2 : lt_11^0'=lt_11^post3, lt_12^0'=lt_12^post3, result_4^0'=result_4^post3, cnt_29^0 <= 0, cost: 1 Propagated Equalities Original rule: l4 -> l0 : cnt_29^0'=cnt_29^post4, lt_10^0'=lt_10^post4, lt_11^0'=lt_11^post4, lt_12^0'=lt_12^post4, px_8^0'=px_8^post4, py_6^0'=py_6^post4, q_9^0'=q_9^post4, result_4^0'=result_4^post4, x_7^0'=x_7^post4, y_5^0'=y_5^post4, (0 == 0 /\ -cnt_29^post4+cnt_29^post5 == 0 /\ -lt_12^post4+lt_12^post5 == 0 /\ -lt_10^post5+lt_10^0 == 0 /\ lt_10^post5-lt_10^post4 == 0 /\ py_6^post4-y_5^post4 == 0 /\ q_9^post4-px_8^post4 == 0 /\ -result_4^post5+result_4^0 == 0 /\ y_5^0-y_5^post5 == 0 /\ px_8^0-px_8^post5 == 0 /\ lt_11^0-lt_11^post5 == 0 /\ -lt_11^post4+lt_11^post5 == 0 /\ -py_6^post5+py_6^0 == 0 /\ lt_12^0-lt_12^post5 == 0 /\ -x_7^post5+x_7^0 == 0 /\ result_4^post5-result_4^post4 == 0 /\ q_9^0-q_9^post5 == 0 /\ cnt_29^0-cnt_29^post5 == 0), cost: 1 New rule: l4 -> l0 : cnt_29^0'=cnt_29^post5, lt_10^0'=lt_10^post5, lt_11^0'=lt_11^post5, lt_12^0'=lt_12^post5, px_8^0'=q_9^post4, py_6^0'=y_5^post4, q_9^0'=q_9^post4, result_4^0'=result_4^post5, x_7^0'=x_7^post4, y_5^0'=y_5^post4, (0 == 0 /\ -lt_10^post5+lt_10^0 == 0 /\ -result_4^post5+result_4^0 == 0 /\ y_5^0-y_5^post5 == 0 /\ px_8^0-px_8^post5 == 0 /\ lt_11^0-lt_11^post5 == 0 /\ -py_6^post5+py_6^0 == 0 /\ lt_12^0-lt_12^post5 == 0 /\ -x_7^post5+x_7^0 == 0 /\ q_9^0-q_9^post5 == 0 /\ cnt_29^0-cnt_29^post5 == 0), cost: 1 propagated equality cnt_29^post4 = cnt_29^post5 propagated equality lt_12^post4 = lt_12^post5 propagated equality lt_10^post4 = lt_10^post5 propagated equality py_6^post4 = y_5^post4 propagated equality px_8^post4 = q_9^post4 propagated equality lt_11^post4 = lt_11^post5 propagated equality result_4^post4 = result_4^post5 Propagated Equalities Original rule: l4 -> l0 : cnt_29^0'=cnt_29^post5, lt_10^0'=lt_10^post5, lt_11^0'=lt_11^post5, lt_12^0'=lt_12^post5, px_8^0'=q_9^post4, py_6^0'=y_5^post4, q_9^0'=q_9^post4, result_4^0'=result_4^post5, x_7^0'=x_7^post4, y_5^0'=y_5^post4, (0 == 0 /\ -lt_10^post5+lt_10^0 == 0 /\ -result_4^post5+result_4^0 == 0 /\ y_5^0-y_5^post5 == 0 /\ px_8^0-px_8^post5 == 0 /\ lt_11^0-lt_11^post5 == 0 /\ -py_6^post5+py_6^0 == 0 /\ lt_12^0-lt_12^post5 == 0 /\ -x_7^post5+x_7^0 == 0 /\ q_9^0-q_9^post5 == 0 /\ cnt_29^0-cnt_29^post5 == 0), cost: 1 New rule: l4 -> l0 : cnt_29^0'=cnt_29^0, lt_10^0'=lt_10^0, lt_11^0'=lt_11^0, lt_12^0'=lt_12^0, px_8^0'=q_9^post4, py_6^0'=y_5^post4, q_9^0'=q_9^post4, result_4^0'=result_4^0, x_7^0'=x_7^post4, y_5^0'=y_5^post4, 0 == 0, cost: 1 propagated equality lt_10^post5 = lt_10^0 propagated equality result_4^post5 = result_4^0 propagated equality y_5^post5 = y_5^0 propagated equality px_8^post5 = px_8^0 propagated equality lt_11^post5 = lt_11^0 propagated equality py_6^post5 = py_6^0 propagated equality lt_12^post5 = lt_12^0 propagated equality x_7^post5 = x_7^0 propagated equality q_9^post5 = q_9^0 propagated equality cnt_29^post5 = cnt_29^0 Simplified Guard Original rule: l4 -> l0 : cnt_29^0'=cnt_29^0, lt_10^0'=lt_10^0, lt_11^0'=lt_11^0, lt_12^0'=lt_12^0, px_8^0'=q_9^post4, py_6^0'=y_5^post4, q_9^0'=q_9^post4, result_4^0'=result_4^0, x_7^0'=x_7^post4, y_5^0'=y_5^post4, 0 == 0, cost: 1 New rule: l4 -> l0 : cnt_29^0'=cnt_29^0, lt_10^0'=lt_10^0, lt_11^0'=lt_11^0, lt_12^0'=lt_12^0, px_8^0'=q_9^post4, py_6^0'=y_5^post4, q_9^0'=q_9^post4, result_4^0'=result_4^0, x_7^0'=x_7^post4, y_5^0'=y_5^post4, T, cost: 1 Removed Trivial Updates Original rule: l4 -> l0 : cnt_29^0'=cnt_29^0, lt_10^0'=lt_10^0, lt_11^0'=lt_11^0, lt_12^0'=lt_12^0, px_8^0'=q_9^post4, py_6^0'=y_5^post4, q_9^0'=q_9^post4, result_4^0'=result_4^0, x_7^0'=x_7^post4, y_5^0'=y_5^post4, T, cost: 1 New rule: l4 -> l0 : px_8^0'=q_9^post4, py_6^0'=y_5^post4, q_9^0'=q_9^post4, x_7^0'=x_7^post4, y_5^0'=y_5^post4, T, cost: 1 Propagated Equalities Original rule: l0 -> l0 : cnt_29^0'=cnt_29^post2, lt_10^0'=lt_10^post2, lt_11^0'=lt_11^post2, lt_12^0'=lt_12^post2, px_8^0'=px_8^post2, py_6^0'=py_6^post2, q_9^0'=q_9^post2, result_4^0'=result_4^post2, x_7^0'=x_7^post2, y_5^0'=y_5^post2, (0 == 0 /\ -lt_12^post2+lt_12^post1 == 0 /\ x_7^post1-x_7^post2 == 0 /\ q_9^0-q_9^post1 == 0 /\ -py_6^post1+py_6^0 == 0 /\ lt_11^1-x_7^0 == 0 /\ lt_10^1-cnt_29^0 == 0 /\ -px_8^post2+px_8^post1 == 0 /\ result_4^0-result_4^post1 == 0 /\ lt_12^1-cnt_29^0 == 0 /\ 1-lt_12^1 <= 0 /\ py_6^post1-py_6^post2 == 0 /\ -lt_11^post2+lt_11^post1 == 0 /\ y_5^0-y_5^post1 == 0 /\ result_4^post1-result_4^post2 == 0 /\ -lt_10^post2+lt_10^post1 == 0 /\ -cnt_29^post1+cnt_29^0 == 0 /\ -q_9^post2+q_9^post1 == 0 /\ -x_7^post1+x_7^0 == 0 /\ px_8^0-px_8^post1 == 0 /\ y_5^post1-y_5^post2 == 0 /\ -cnt_29^post2+cnt_29^post1 == 0), cost: 1 New rule: l0 -> l0 : cnt_29^0'=cnt_29^post1, lt_10^0'=lt_10^post1, lt_11^0'=lt_11^post1, lt_12^0'=lt_12^post1, px_8^0'=px_8^post1, py_6^0'=py_6^post1, q_9^0'=q_9^post1, result_4^0'=result_4^post1, x_7^0'=x_7^post1, y_5^0'=y_5^post1, (0 == 0 /\ q_9^0-q_9^post1 == 0 /\ -py_6^post1+py_6^0 == 0 /\ lt_11^1-x_7^0 == 0 /\ lt_10^1-cnt_29^0 == 0 /\ result_4^0-result_4^post1 == 0 /\ lt_12^1-cnt_29^0 == 0 /\ 1-lt_12^1 <= 0 /\ y_5^0-y_5^post1 == 0 /\ -cnt_29^post1+cnt_29^0 == 0 /\ -x_7^post1+x_7^0 == 0 /\ px_8^0-px_8^post1 == 0), cost: 1 propagated equality lt_12^post2 = lt_12^post1 propagated equality x_7^post2 = x_7^post1 propagated equality px_8^post2 = px_8^post1 propagated equality py_6^post2 = py_6^post1 propagated equality lt_11^post2 = lt_11^post1 propagated equality result_4^post2 = result_4^post1 propagated equality lt_10^post2 = lt_10^post1 propagated equality q_9^post2 = q_9^post1 propagated equality y_5^post2 = y_5^post1 propagated equality cnt_29^post2 = cnt_29^post1 Propagated Equalities Original rule: l0 -> l0 : cnt_29^0'=cnt_29^post1, lt_10^0'=lt_10^post1, lt_11^0'=lt_11^post1, lt_12^0'=lt_12^post1, px_8^0'=px_8^post1, py_6^0'=py_6^post1, q_9^0'=q_9^post1, result_4^0'=result_4^post1, x_7^0'=x_7^post1, y_5^0'=y_5^post1, (0 == 0 /\ q_9^0-q_9^post1 == 0 /\ -py_6^post1+py_6^0 == 0 /\ lt_11^1-x_7^0 == 0 /\ lt_10^1-cnt_29^0 == 0 /\ result_4^0-result_4^post1 == 0 /\ lt_12^1-cnt_29^0 == 0 /\ 1-lt_12^1 <= 0 /\ y_5^0-y_5^post1 == 0 /\ -cnt_29^post1+cnt_29^0 == 0 /\ -x_7^post1+x_7^0 == 0 /\ px_8^0-px_8^post1 == 0), cost: 1 New rule: l0 -> l0 : cnt_29^0'=cnt_29^0, lt_10^0'=lt_10^post1, lt_11^0'=lt_11^post1, lt_12^0'=lt_12^post1, px_8^0'=px_8^0, py_6^0'=py_6^0, q_9^0'=q_9^0, result_4^0'=result_4^0, x_7^0'=x_7^0, y_5^0'=y_5^0, (0 == 0 /\ 1-cnt_29^0 <= 0), cost: 1 propagated equality q_9^post1 = q_9^0 propagated equality py_6^post1 = py_6^0 propagated equality lt_11^1 = x_7^0 propagated equality lt_10^1 = cnt_29^0 propagated equality result_4^post1 = result_4^0 propagated equality lt_12^1 = cnt_29^0 propagated equality y_5^post1 = y_5^0 propagated equality cnt_29^post1 = cnt_29^0 propagated equality x_7^post1 = x_7^0 propagated equality px_8^post1 = px_8^0 Simplified Guard Original rule: l0 -> l0 : cnt_29^0'=cnt_29^0, lt_10^0'=lt_10^post1, lt_11^0'=lt_11^post1, lt_12^0'=lt_12^post1, px_8^0'=px_8^0, py_6^0'=py_6^0, q_9^0'=q_9^0, result_4^0'=result_4^0, x_7^0'=x_7^0, y_5^0'=y_5^0, (0 == 0 /\ 1-cnt_29^0 <= 0), cost: 1 New rule: l0 -> l0 : cnt_29^0'=cnt_29^0, lt_10^0'=lt_10^post1, lt_11^0'=lt_11^post1, lt_12^0'=lt_12^post1, px_8^0'=px_8^0, py_6^0'=py_6^0, q_9^0'=q_9^0, result_4^0'=result_4^0, x_7^0'=x_7^0, y_5^0'=y_5^0, 1-cnt_29^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l0 -> l0 : cnt_29^0'=cnt_29^0, lt_10^0'=lt_10^post1, lt_11^0'=lt_11^post1, lt_12^0'=lt_12^post1, px_8^0'=px_8^0, py_6^0'=py_6^0, q_9^0'=q_9^0, result_4^0'=result_4^0, x_7^0'=x_7^0, y_5^0'=y_5^0, 1-cnt_29^0 <= 0, cost: 1 New rule: l0 -> l0 : lt_10^0'=lt_10^post1, lt_11^0'=lt_11^post1, lt_12^0'=lt_12^post1, 1-cnt_29^0 <= 0, cost: 1 Step with 8 Trace 8[T] Blocked [{}, {}] Step with 7 Trace 8[T], 7[(cnt_29^0 <= 0)] Blocked [{}, {}, {}] Backtrack Trace 8[T] Blocked [{}, {7[T]}] Step with 9 Trace 8[T], 9[(1-cnt_29^0 <= 0)] Blocked [{}, {7[T]}, {}] Nonterm Start location: l4 Program variables: cnt_29^0 lt_10^0 lt_11^0 lt_12^0 px_8^0 py_6^0 q_9^0 result_4^0 x_7^0 y_5^0 7: l0 -> l2 : lt_11^0'=lt_11^post3, lt_12^0'=lt_12^post3, result_4^0'=result_4^post3, cnt_29^0 <= 0, cost: 1 9: l0 -> l0 : lt_10^0'=lt_10^post1, lt_11^0'=lt_11^post1, lt_12^0'=lt_12^post1, 1-cnt_29^0 <= 0, cost: 1 10: l0 -> LoAT_sink : (-1+n >= 0 /\ -1+cnt_29^0 >= 0), cost: NONTERM 8: l4 -> l0 : px_8^0'=q_9^post4, py_6^0'=y_5^post4, q_9^0'=q_9^post4, x_7^0'=x_7^post4, y_5^0'=y_5^post4, T, cost: 1 Certificate of Non-Termination Original rule: l0 -> l0 : lt_10^0'=lt_10^post1, lt_11^0'=lt_11^post1, lt_12^0'=lt_12^post1, (1-cnt_29^0 <= 0), cost: 1 New rule: l0 -> LoAT_sink : (-1+n >= 0 /\ -1+cnt_29^0 >= 0), cost: NONTERM -1+cnt_29^0 >= 0 [0]: monotonic increase yields -1+cnt_29^0 >= 0 Replacement map: {-1+cnt_29^0 >= 0 -> -1+cnt_29^0 >= 0} Step with 10 Trace 8[T], 10[(-1+n >= 0 /\ -1+cnt_29^0 >= 0)] Blocked [{}, {7[T]}, {10[T]}] Refute Counterexample [ cnt_29^0=1 lt_10^0=0 lt_11^0=0 lt_12^0=0 px_8^0=0 py_6^0=0 q_9^0=0 result_4^0=0 x_7^0=0 y_5^0=0 ] 8 [ cnt_29^0=1 lt_10^0=0 lt_11^0=0 lt_12^0=0 px_8^0=px_8^0 py_6^0=py_6^0 q_9^0=q_9^0 result_4^0=0 x_7^0=x_7^0 y_5^0=y_5^0 ] 10 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b