unknown Initial ITS Start location: l5 Program variables: k_7^0 result_4^0 w_8^0 x_5^0 y_6^0 0: l0 -> l2 : k_7^0'=k_7^post1, result_4^0'=result_4^post1, w_8^0'=w_8^post1, x_5^0'=x_5^post1, y_6^0'=y_6^post1, (-1+y_6^post1-y_6^0 == 0 /\ -k_7^post1+k_7^0 == 0 /\ w_8^0-w_8^post1 == 0 /\ -result_4^post1+result_4^0 == 0 /\ -1+x_5^post1-x_5^0 == 0 /\ 2+x_5^0 <= 0), cost: 1 4: l0 -> l3 : k_7^0'=k_7^post5, result_4^0'=result_4^post5, w_8^0'=w_8^post5, x_5^0'=x_5^post5, y_6^0'=y_6^post5, (0 == 0 /\ -k_7^post5+k_7^0 == 0 /\ w_8^0-w_8^post5 == 0 /\ -1-x_5^0 <= 0 /\ -x_5^post5+x_5^0 == 0 /\ -y_6^post5+y_6^0 == 0), cost: 1 1: l2 -> l1 : k_7^0'=k_7^post2, result_4^0'=result_4^post2, w_8^0'=w_8^post2, x_5^0'=x_5^post2, y_6^0'=y_6^post2, (k_7^0-k_7^post2 == 0 /\ w_8^0-w_8^post2 == 0 /\ -result_4^post2+result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0 /\ y_6^0-y_6^post2 == 0 /\ 1+y_6^0 <= 0), cost: 1 2: l2 -> l1 : k_7^0'=k_7^post3, result_4^0'=result_4^post3, w_8^0'=w_8^post3, x_5^0'=x_5^post3, y_6^0'=y_6^post3, (-y_6^post3+y_6^0 == 0 /\ w_8^0-w_8^post3 == 0 /\ 1-y_6^0 <= 0 /\ -k_7^post3+k_7^0 == 0 /\ -result_4^post3+result_4^0 == 0 /\ -x_5^post3+x_5^0 == 0), cost: 1 3: l1 -> l0 : k_7^0'=k_7^post4, result_4^0'=result_4^post4, w_8^0'=w_8^post4, x_5^0'=x_5^post4, y_6^0'=y_6^post4, (w_8^0-w_8^post4 == 0 /\ -result_4^post4+result_4^0 == 0 /\ k_7^0-k_7^post4 == 0 /\ y_6^0-y_6^post4 == 0 /\ -x_5^post4+x_5^0 == 0), cost: 1 5: l4 -> l0 : k_7^0'=k_7^post6, result_4^0'=result_4^post6, w_8^0'=w_8^post6, x_5^0'=x_5^post6, y_6^0'=y_6^post6, (w_8^0-w_8^post6 == 0 /\ 2-w_8^0 <= 0 /\ -y_6^post6+y_6^0 == 0 /\ 2-k_7^0 <= 0 /\ -result_4^post6+result_4^0 == 0 /\ x_5^0-x_5^post6 == 0 /\ k_7^0-k_7^post6 == 0), cost: 1 6: l4 -> l3 : k_7^0'=k_7^post7, result_4^0'=result_4^post7, w_8^0'=w_8^post7, x_5^0'=x_5^post7, y_6^0'=y_6^post7, (0 == 0 /\ -1+k_7^0 <= 0 /\ w_8^0-w_8^post7 == 0 /\ y_6^0-y_6^post7 == 0 /\ -x_5^post7+x_5^0 == 0 /\ -k_7^post7+k_7^0 == 0), cost: 1 7: l5 -> l4 : k_7^0'=k_7^post8, result_4^0'=result_4^post8, w_8^0'=w_8^post8, x_5^0'=x_5^post8, y_6^0'=y_6^post8, (x_5^0-x_5^post8 == 0 /\ k_7^0-k_7^post8 == 0 /\ -result_4^post8+result_4^0 == 0 /\ w_8^0-w_8^post8 == 0 /\ -y_6^post8+y_6^0 == 0), cost: 1 Simplified Transitions Start location: l5 Program variables: k_7^0 result_4^0 w_8^0 x_5^0 y_6^0 8: l0 -> l2 : x_5^0'=1+x_5^0, y_6^0'=1+y_6^0, 2+x_5^0 <= 0, cost: 1 12: l0 -> l3 : result_4^0'=result_4^post5, -1-x_5^0 <= 0, cost: 1 9: l2 -> l1 : 1+y_6^0 <= 0, cost: 1 10: l2 -> l1 : 1-y_6^0 <= 0, cost: 1 11: l1 -> l0 : T, cost: 1 13: l4 -> l0 : (2-w_8^0 <= 0 /\ 2-k_7^0 <= 0), cost: 1 14: l4 -> l3 : result_4^0'=result_4^post7, -1+k_7^0 <= 0, cost: 1 15: l5 -> l4 : T, cost: 1 Propagated Equalities Original rule: l0 -> l2 : k_7^0'=k_7^post1, result_4^0'=result_4^post1, w_8^0'=w_8^post1, x_5^0'=x_5^post1, y_6^0'=y_6^post1, (-1+y_6^post1-y_6^0 == 0 /\ -k_7^post1+k_7^0 == 0 /\ w_8^0-w_8^post1 == 0 /\ -result_4^post1+result_4^0 == 0 /\ -1+x_5^post1-x_5^0 == 0 /\ 2+x_5^0 <= 0), cost: 1 New rule: l0 -> l2 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=1+x_5^0, y_6^0'=1+y_6^0, (0 == 0 /\ 2+x_5^0 <= 0), cost: 1 propagated equality y_6^post1 = 1+y_6^0 propagated equality k_7^post1 = k_7^0 propagated equality w_8^post1 = w_8^0 propagated equality result_4^post1 = result_4^0 propagated equality x_5^post1 = 1+x_5^0 Simplified Guard Original rule: l0 -> l2 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=1+x_5^0, y_6^0'=1+y_6^0, (0 == 0 /\ 2+x_5^0 <= 0), cost: 1 New rule: l0 -> l2 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=1+x_5^0, y_6^0'=1+y_6^0, 2+x_5^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l0 -> l2 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=1+x_5^0, y_6^0'=1+y_6^0, 2+x_5^0 <= 0, cost: 1 New rule: l0 -> l2 : x_5^0'=1+x_5^0, y_6^0'=1+y_6^0, 2+x_5^0 <= 0, cost: 1 Propagated Equalities Original rule: l2 -> l1 : k_7^0'=k_7^post2, result_4^0'=result_4^post2, w_8^0'=w_8^post2, x_5^0'=x_5^post2, y_6^0'=y_6^post2, (k_7^0-k_7^post2 == 0 /\ w_8^0-w_8^post2 == 0 /\ -result_4^post2+result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0 /\ y_6^0-y_6^post2 == 0 /\ 1+y_6^0 <= 0), cost: 1 New rule: l2 -> l1 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 1+y_6^0 <= 0), cost: 1 propagated equality k_7^post2 = k_7^0 propagated equality w_8^post2 = w_8^0 propagated equality result_4^post2 = result_4^0 propagated equality x_5^post2 = x_5^0 propagated equality y_6^post2 = y_6^0 Simplified Guard Original rule: l2 -> l1 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 1+y_6^0 <= 0), cost: 1 New rule: l2 -> l1 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 1+y_6^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l2 -> l1 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 1+y_6^0 <= 0, cost: 1 New rule: l2 -> l1 : 1+y_6^0 <= 0, cost: 1 Propagated Equalities Original rule: l2 -> l1 : k_7^0'=k_7^post3, result_4^0'=result_4^post3, w_8^0'=w_8^post3, x_5^0'=x_5^post3, y_6^0'=y_6^post3, (-y_6^post3+y_6^0 == 0 /\ w_8^0-w_8^post3 == 0 /\ 1-y_6^0 <= 0 /\ -k_7^post3+k_7^0 == 0 /\ -result_4^post3+result_4^0 == 0 /\ -x_5^post3+x_5^0 == 0), cost: 1 New rule: l2 -> l1 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 1-y_6^0 <= 0), cost: 1 propagated equality y_6^post3 = y_6^0 propagated equality w_8^post3 = w_8^0 propagated equality k_7^post3 = k_7^0 propagated equality result_4^post3 = result_4^0 propagated equality x_5^post3 = x_5^0 Simplified Guard Original rule: l2 -> l1 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 1-y_6^0 <= 0), cost: 1 New rule: l2 -> l1 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 1-y_6^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l2 -> l1 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 1-y_6^0 <= 0, cost: 1 New rule: l2 -> l1 : 1-y_6^0 <= 0, cost: 1 Propagated Equalities Original rule: l1 -> l0 : k_7^0'=k_7^post4, result_4^0'=result_4^post4, w_8^0'=w_8^post4, x_5^0'=x_5^post4, y_6^0'=y_6^post4, (w_8^0-w_8^post4 == 0 /\ -result_4^post4+result_4^0 == 0 /\ k_7^0-k_7^post4 == 0 /\ y_6^0-y_6^post4 == 0 /\ -x_5^post4+x_5^0 == 0), cost: 1 New rule: l1 -> l0 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 0 == 0, cost: 1 propagated equality w_8^post4 = w_8^0 propagated equality result_4^post4 = result_4^0 propagated equality k_7^post4 = k_7^0 propagated equality y_6^post4 = y_6^0 propagated equality x_5^post4 = x_5^0 Simplified Guard Original rule: l1 -> l0 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 0 == 0, cost: 1 New rule: l1 -> l0 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, T, cost: 1 Removed Trivial Updates Original rule: l1 -> l0 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, T, cost: 1 New rule: l1 -> l0 : T, cost: 1 Propagated Equalities Original rule: l0 -> l3 : k_7^0'=k_7^post5, result_4^0'=result_4^post5, w_8^0'=w_8^post5, x_5^0'=x_5^post5, y_6^0'=y_6^post5, (0 == 0 /\ -k_7^post5+k_7^0 == 0 /\ w_8^0-w_8^post5 == 0 /\ -1-x_5^0 <= 0 /\ -x_5^post5+x_5^0 == 0 /\ -y_6^post5+y_6^0 == 0), cost: 1 New rule: l0 -> l3 : k_7^0'=k_7^0, result_4^0'=result_4^post5, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ -1-x_5^0 <= 0), cost: 1 propagated equality k_7^post5 = k_7^0 propagated equality w_8^post5 = w_8^0 propagated equality x_5^post5 = x_5^0 propagated equality y_6^post5 = y_6^0 Simplified Guard Original rule: l0 -> l3 : k_7^0'=k_7^0, result_4^0'=result_4^post5, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ -1-x_5^0 <= 0), cost: 1 New rule: l0 -> l3 : k_7^0'=k_7^0, result_4^0'=result_4^post5, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, -1-x_5^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l0 -> l3 : k_7^0'=k_7^0, result_4^0'=result_4^post5, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, -1-x_5^0 <= 0, cost: 1 New rule: l0 -> l3 : result_4^0'=result_4^post5, -1-x_5^0 <= 0, cost: 1 Propagated Equalities Original rule: l4 -> l0 : k_7^0'=k_7^post6, result_4^0'=result_4^post6, w_8^0'=w_8^post6, x_5^0'=x_5^post6, y_6^0'=y_6^post6, (w_8^0-w_8^post6 == 0 /\ 2-w_8^0 <= 0 /\ -y_6^post6+y_6^0 == 0 /\ 2-k_7^0 <= 0 /\ -result_4^post6+result_4^0 == 0 /\ x_5^0-x_5^post6 == 0 /\ k_7^0-k_7^post6 == 0), cost: 1 New rule: l4 -> l0 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 2-w_8^0 <= 0 /\ 2-k_7^0 <= 0), cost: 1 propagated equality w_8^post6 = w_8^0 propagated equality y_6^post6 = y_6^0 propagated equality result_4^post6 = result_4^0 propagated equality x_5^post6 = x_5^0 propagated equality k_7^post6 = k_7^0 Simplified Guard Original rule: l4 -> l0 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 2-w_8^0 <= 0 /\ 2-k_7^0 <= 0), cost: 1 New rule: l4 -> l0 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (2-w_8^0 <= 0 /\ 2-k_7^0 <= 0), cost: 1 Removed Trivial Updates Original rule: l4 -> l0 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (2-w_8^0 <= 0 /\ 2-k_7^0 <= 0), cost: 1 New rule: l4 -> l0 : (2-w_8^0 <= 0 /\ 2-k_7^0 <= 0), cost: 1 Propagated Equalities Original rule: l4 -> l3 : k_7^0'=k_7^post7, result_4^0'=result_4^post7, w_8^0'=w_8^post7, x_5^0'=x_5^post7, y_6^0'=y_6^post7, (0 == 0 /\ -1+k_7^0 <= 0 /\ w_8^0-w_8^post7 == 0 /\ y_6^0-y_6^post7 == 0 /\ -x_5^post7+x_5^0 == 0 /\ -k_7^post7+k_7^0 == 0), cost: 1 New rule: l4 -> l3 : k_7^0'=k_7^0, result_4^0'=result_4^post7, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ -1+k_7^0 <= 0), cost: 1 propagated equality w_8^post7 = w_8^0 propagated equality y_6^post7 = y_6^0 propagated equality x_5^post7 = x_5^0 propagated equality k_7^post7 = k_7^0 Simplified Guard Original rule: l4 -> l3 : k_7^0'=k_7^0, result_4^0'=result_4^post7, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ -1+k_7^0 <= 0), cost: 1 New rule: l4 -> l3 : k_7^0'=k_7^0, result_4^0'=result_4^post7, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, -1+k_7^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l4 -> l3 : k_7^0'=k_7^0, result_4^0'=result_4^post7, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, -1+k_7^0 <= 0, cost: 1 New rule: l4 -> l3 : result_4^0'=result_4^post7, -1+k_7^0 <= 0, cost: 1 Propagated Equalities Original rule: l5 -> l4 : k_7^0'=k_7^post8, result_4^0'=result_4^post8, w_8^0'=w_8^post8, x_5^0'=x_5^post8, y_6^0'=y_6^post8, (x_5^0-x_5^post8 == 0 /\ k_7^0-k_7^post8 == 0 /\ -result_4^post8+result_4^0 == 0 /\ w_8^0-w_8^post8 == 0 /\ -y_6^post8+y_6^0 == 0), cost: 1 New rule: l5 -> l4 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, 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 k_7^post8 = k_7^0 propagated equality result_4^post8 = result_4^0 propagated equality w_8^post8 = w_8^0 propagated equality y_6^post8 = y_6^0 Simplified Guard Original rule: l5 -> l4 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 0 == 0, cost: 1 New rule: l5 -> l4 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, T, cost: 1 Removed Trivial Updates Original rule: l5 -> l4 : k_7^0'=k_7^0, result_4^0'=result_4^0, w_8^0'=w_8^0, x_5^0'=x_5^0, y_6^0'=y_6^0, T, cost: 1 New rule: l5 -> l4 : T, cost: 1 Step with 15 Trace 15[T] Blocked [{}, {}] Step with 13 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)] Blocked [{}, {}, {}] Step with 12 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 12[(-1-x_5^0 <= 0)] Blocked [{}, {}, {}, {}] Backtrack Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)] Blocked [{}, {}, {12[T]}] Step with 8 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)] Blocked [{}, {}, {12[T]}, {}] Step with 9 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)], 9[(1+y_6^0 <= 0)] Blocked [{}, {}, {12[T]}, {}, {}] Step with 11 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)], 9[(1+y_6^0 <= 0)], 11[T] Blocked [{}, {}, {12[T]}, {}, {}, {}] Accelerate Start location: l5 Program variables: k_7^0 result_4^0 w_8^0 x_5^0 y_6^0 8: l0 -> l2 : x_5^0'=1+x_5^0, y_6^0'=1+y_6^0, 2+x_5^0 <= 0, cost: 1 12: l0 -> l3 : result_4^0'=result_4^post5, -1-x_5^0 <= 0, cost: 1 16: l0 -> l0 : x_5^0'=n+x_5^0, y_6^0'=n+y_6^0, (-1-n-x_5^0 >= 0 /\ -1-n-y_6^0 >= 0 /\ -1+n >= 0), cost: 1 9: l2 -> l1 : 1+y_6^0 <= 0, cost: 1 10: l2 -> l1 : 1-y_6^0 <= 0, cost: 1 11: l1 -> l0 : T, cost: 1 13: l4 -> l0 : (2-w_8^0 <= 0 /\ 2-k_7^0 <= 0), cost: 1 14: l4 -> l3 : result_4^0'=result_4^post7, -1+k_7^0 <= 0, cost: 1 15: l5 -> l4 : T, cost: 1 Loop Acceleration Original rule: l0 -> l0 : x_5^0'=1+x_5^0, y_6^0'=1+y_6^0, (2+y_6^0 <= 0 /\ 2+x_5^0 <= 0), cost: 1 New rule: l0 -> l0 : x_5^0'=n+x_5^0, y_6^0'=n+y_6^0, (-1-n-x_5^0 >= 0 /\ -1-n-y_6^0 >= 0 /\ -1+n >= 0), cost: 1 -2-y_6^0 >= 0 [0]: montonic decrease yields -1-n-y_6^0 >= 0 -2-y_6^0 >= 0 [1]: eventual increase yields (-2-y_6^0 >= 0 /\ 1 <= 0) -2-x_5^0 >= 0 [0]: montonic decrease yields -1-n-x_5^0 >= 0 -2-x_5^0 >= 0 [1]: eventual increase yields (1 <= 0 /\ -2-x_5^0 >= 0) Replacement map: {-2-y_6^0 >= 0 -> -1-n-y_6^0 >= 0, -2-x_5^0 >= 0 -> -1-n-x_5^0 >= 0} Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 16[(-1-n-x_5^0 >= 0 /\ -1-n-y_6^0 >= 0 /\ -1+n >= 0)] Blocked [{}, {}, {12[T]}, {16[T]}] Step with 12 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 16[(-1-n-x_5^0 >= 0 /\ -1-n-y_6^0 >= 0 /\ -1+n >= 0)], 12[(-1-x_5^0 <= 0)] Blocked [{}, {}, {12[T]}, {16[T]}, {}] Backtrack Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 16[(-1-n-x_5^0 >= 0 /\ -1-n-y_6^0 >= 0 /\ -1+n >= 0)] Blocked [{}, {}, {12[T]}, {12[T], 16[T]}] Step with 8 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 16[(-1-n-x_5^0 >= 0 /\ -1-n-y_6^0 >= 0 /\ -1+n >= 0)], 8[(2+x_5^0 <= 0)] Blocked [{}, {}, {12[T]}, {12[T], 16[T]}, {}] Step with 9 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 16[(-1-n-x_5^0 >= 0 /\ -1-n-y_6^0 >= 0 /\ -1+n >= 0)], 8[(2+x_5^0 <= 0)], 9[(1+y_6^0 <= 0)] Blocked [{}, {}, {12[T]}, {12[T], 16[T]}, {}, {}] Step with 11 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 16[(-1-n-x_5^0 >= 0 /\ -1-n-y_6^0 >= 0 /\ -1+n >= 0)], 8[(2+x_5^0 <= 0)], 9[(1+y_6^0 <= 0)], 11[T] Blocked [{}, {}, {12[T]}, {12[T], 16[T]}, {}, {}, {}] Covered Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 16[(-1-n-x_5^0 >= 0 /\ -1-n-y_6^0 >= 0 /\ -1+n >= 0)], 8[(2+x_5^0 <= 0)], 9[(1+y_6^0 <= 0)] Blocked [{}, {}, {12[T]}, {12[T], 16[T]}, {}, {11[T]}] Backtrack Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 16[(-1-n-x_5^0 >= 0 /\ -1-n-y_6^0 >= 0 /\ -1+n >= 0)], 8[(2+x_5^0 <= 0)] Blocked [{}, {}, {12[T]}, {12[T], 16[T]}, {9[T]}] Backtrack Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 16[(-1-n-x_5^0 >= 0 /\ -1-n-y_6^0 >= 0 /\ -1+n >= 0)] Blocked [{}, {}, {12[T]}, {8[T], 12[T], 16[T]}] Backtrack Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)] Blocked [{}, {}, {12[T], 16[T]}] Step with 8 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)] Blocked [{}, {}, {12[T], 16[T]}, {}] Step with 9 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)], 9[(1+y_6^0 <= 0)] Blocked [{}, {}, {12[T], 16[T]}, {}, {}] Step with 11 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)], 9[(1+y_6^0 <= 0)], 11[T] Blocked [{}, {}, {12[T], 16[T]}, {}, {}, {}] Covered Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)], 9[(1+y_6^0 <= 0)] Blocked [{}, {}, {12[T], 16[T]}, {}, {11[T]}] Backtrack Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)] Blocked [{}, {}, {12[T], 16[T]}, {9[T]}] Step with 10 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)], 10[(1-y_6^0 <= 0)] Blocked [{}, {}, {12[T], 16[T]}, {9[T]}, {}] Step with 11 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)], 10[(1-y_6^0 <= 0)], 11[T] Blocked [{}, {}, {12[T], 16[T]}, {9[T]}, {}, {}] Accelerate Start location: l5 Program variables: k_7^0 result_4^0 w_8^0 x_5^0 y_6^0 8: l0 -> l2 : x_5^0'=1+x_5^0, y_6^0'=1+y_6^0, 2+x_5^0 <= 0, cost: 1 12: l0 -> l3 : result_4^0'=result_4^post5, -1-x_5^0 <= 0, cost: 1 16: l0 -> l0 : x_5^0'=n+x_5^0, y_6^0'=n+y_6^0, (-1-n-x_5^0 >= 0 /\ -1-n-y_6^0 >= 0 /\ -1+n >= 0), cost: 1 17: l0 -> l0 : x_5^0'=n2+x_5^0, y_6^0'=n2+y_6^0, (-1-n2-x_5^0 >= 0 /\ y_6^0 >= 0 /\ -1+n2 >= 0), cost: 1 9: l2 -> l1 : 1+y_6^0 <= 0, cost: 1 10: l2 -> l1 : 1-y_6^0 <= 0, cost: 1 11: l1 -> l0 : T, cost: 1 13: l4 -> l0 : (2-w_8^0 <= 0 /\ 2-k_7^0 <= 0), cost: 1 14: l4 -> l3 : result_4^0'=result_4^post7, -1+k_7^0 <= 0, cost: 1 15: l5 -> l4 : T, cost: 1 Loop Acceleration Original rule: l0 -> l0 : x_5^0'=1+x_5^0, y_6^0'=1+y_6^0, (-y_6^0 <= 0 /\ 2+x_5^0 <= 0), cost: 1 New rule: l0 -> l0 : x_5^0'=n2+x_5^0, y_6^0'=n2+y_6^0, (-1-n2-x_5^0 >= 0 /\ y_6^0 >= 0 /\ -1+n2 >= 0), cost: 1 -2-x_5^0 >= 0 [0]: montonic decrease yields -1-n2-x_5^0 >= 0 -2-x_5^0 >= 0 [1]: eventual increase yields (1 <= 0 /\ -2-x_5^0 >= 0) y_6^0 >= 0 [0]: monotonic increase yields y_6^0 >= 0 Replacement map: {-2-x_5^0 >= 0 -> -1-n2-x_5^0 >= 0, y_6^0 >= 0 -> y_6^0 >= 0} Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 17[(-1-n2-x_5^0 >= 0 /\ y_6^0 >= 0 /\ -1+n2 >= 0)] Blocked [{}, {}, {12[T], 16[T]}, {17[T]}] Step with 12 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 17[(-1-n2-x_5^0 >= 0 /\ y_6^0 >= 0 /\ -1+n2 >= 0)], 12[(-1-x_5^0 <= 0)] Blocked [{}, {}, {12[T], 16[T]}, {17[T]}, {}] Backtrack Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 17[(-1-n2-x_5^0 >= 0 /\ y_6^0 >= 0 /\ -1+n2 >= 0)] Blocked [{}, {}, {12[T], 16[T]}, {12[T], 17[T]}] Step with 8 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 17[(-1-n2-x_5^0 >= 0 /\ y_6^0 >= 0 /\ -1+n2 >= 0)], 8[(2+x_5^0 <= 0)] Blocked [{}, {}, {12[T], 16[T]}, {12[T], 17[T]}, {}] Step with 10 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 17[(-1-n2-x_5^0 >= 0 /\ y_6^0 >= 0 /\ -1+n2 >= 0)], 8[(2+x_5^0 <= 0)], 10[(1-y_6^0 <= 0)] Blocked [{}, {}, {12[T], 16[T]}, {12[T], 17[T]}, {}, {}] Step with 11 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 17[(-1-n2-x_5^0 >= 0 /\ y_6^0 >= 0 /\ -1+n2 >= 0)], 8[(2+x_5^0 <= 0)], 10[(1-y_6^0 <= 0)], 11[T] Blocked [{}, {}, {12[T], 16[T]}, {12[T], 17[T]}, {}, {}, {}] Covered Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 17[(-1-n2-x_5^0 >= 0 /\ y_6^0 >= 0 /\ -1+n2 >= 0)], 8[(2+x_5^0 <= 0)], 10[(1-y_6^0 <= 0)] Blocked [{}, {}, {12[T], 16[T]}, {12[T], 17[T]}, {}, {11[T]}] Backtrack Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 17[(-1-n2-x_5^0 >= 0 /\ y_6^0 >= 0 /\ -1+n2 >= 0)], 8[(2+x_5^0 <= 0)] Blocked [{}, {}, {12[T], 16[T]}, {12[T], 17[T]}, {10[T]}] Backtrack Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 17[(-1-n2-x_5^0 >= 0 /\ y_6^0 >= 0 /\ -1+n2 >= 0)] Blocked [{}, {}, {12[T], 16[T]}, {8[T], 12[T], 17[T]}] Backtrack Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)] Blocked [{}, {}, {12[T], 16[T], 17[T]}] Step with 8 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)] Blocked [{}, {}, {12[T], 16[T], 17[T]}, {}] Step with 10 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)], 10[(1-y_6^0 <= 0)] Blocked [{}, {}, {12[T], 16[T], 17[T]}, {}, {}] Step with 11 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)], 10[(1-y_6^0 <= 0)], 11[T] Blocked [{}, {}, {12[T], 16[T], 17[T]}, {}, {}, {}] Covered Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)], 10[(1-y_6^0 <= 0)] Blocked [{}, {}, {12[T], 16[T], 17[T]}, {}, {11[T]}] Backtrack Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)] Blocked [{}, {}, {12[T], 16[T], 17[T]}, {10[T]}] Step with 9 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)], 9[(1+y_6^0 <= 0)] Blocked [{}, {}, {12[T], 16[T], 17[T]}, {10[T]}, {}] Step with 11 Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)], 9[(1+y_6^0 <= 0)], 11[T] Blocked [{}, {}, {12[T], 16[T], 17[T]}, {10[T]}, {}, {}] Covered Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)], 9[(1+y_6^0 <= 0)] Blocked [{}, {}, {12[T], 16[T], 17[T]}, {10[T]}, {11[T]}] Backtrack Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)], 8[(2+x_5^0 <= 0)] Blocked [{}, {}, {12[T], 16[T], 17[T]}, {9[T], 10[T]}] Backtrack Trace 15[T], 13[(2-w_8^0 <= 0 /\ 2-k_7^0 <= 0)] Blocked [{}, {}, {8[T], 12[T], 16[T], 17[T]}] Backtrack Trace 15[T] Blocked [{}, {13[T]}] Step with 14 Trace 15[T], 14[(-1+k_7^0 <= 0)] Blocked [{}, {13[T]}, {}] Backtrack Trace 15[T] Blocked [{}, {13[T], 14[T]}] Backtrack Trace Blocked [{15[T]}] Accept unknown Build SHA: a05f16bf13df659c382799650051f91bf6828c7b