NO Initial ITS Start location: l9 0: l0 -> l1 : __disjvr_0^0'=__disjvr_0^post0, result_11^0'=result_11^post0, a_13^0'=a_13^post0, x_15^0'=x_15^post0, nondet_12^0'=nondet_12^post0, __disjvr_1^0'=__disjvr_1^post0, temp0_14^0'=temp0_14^post0, a_21^0'=a_21^post0, (-x_15^post0+x_15^0 == 0 /\ __disjvr_0^0-__disjvr_0^post0 == 0 /\ -temp0_14^post0+temp0_14^0 == 0 /\ a_21^0-a_21^post0 == 0 /\ nondet_12^0-nondet_12^post0 == 0 /\ result_11^0-result_11^post0 == 0 /\ a_13^0-a_13^post0 == 0 /\ -__disjvr_1^post0+__disjvr_1^0 == 0), cost: 1 1: l1 -> l2 : __disjvr_0^0'=__disjvr_0^post1, result_11^0'=result_11^post1, a_13^0'=a_13^post1, x_15^0'=x_15^post1, nondet_12^0'=nondet_12^post1, __disjvr_1^0'=__disjvr_1^post1, temp0_14^0'=temp0_14^post1, a_21^0'=a_21^post1, (__disjvr_1^0-__disjvr_1^post1 == 0 /\ a_13^0 <= 0 /\ -temp0_14^post1+temp0_14^0 == 0 /\ __disjvr_0^0-__disjvr_0^post1 == 0 /\ -nondet_12^post1+nondet_12^0 == 0 /\ x_15^0-x_15^post1 == 0 /\ a_13^0-a_13^post1 == 0 /\ result_11^post1-temp0_14^0 == 0 /\ -a_21^post1+a_21^0 == 0), cost: 1 2: l1 -> l3 : __disjvr_0^0'=__disjvr_0^post2, result_11^0'=result_11^post2, a_13^0'=a_13^post2, x_15^0'=x_15^post2, nondet_12^0'=nondet_12^post2, __disjvr_1^0'=__disjvr_1^post2, temp0_14^0'=temp0_14^post2, a_21^0'=a_21^post2, (0 == 0 /\ a_13^post2-x_15^post2 <= 0 /\ a_13^post2-x_15^post2 == 0 /\ 1-a_13^0 <= 0 /\ a_13^0-2*x_15^post2 <= 0 /\ -a_21^post2+a_21^0 == 0 /\ -a_13^post2+x_15^post2 <= 0 /\ 1-2*x_15^post2 <= 0 /\ -__disjvr_1^post2+__disjvr_1^0 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ x_15^post2-nondet_12^10 == 0 /\ result_11^0-result_11^post2 == 0 /\ -temp0_14^post2+temp0_14^0 == 0 /\ -a_13^0+2*x_15^post2 <= 0), cost: 1 4: l1 -> l5 : __disjvr_0^0'=__disjvr_0^post4, result_11^0'=result_11^post4, a_13^0'=a_13^post4, x_15^0'=x_15^post4, nondet_12^0'=nondet_12^post4, __disjvr_1^0'=__disjvr_1^post4, temp0_14^0'=temp0_14^post4, a_21^0'=a_21^post4, (0 == 0 /\ 1-a_13^0 <= 0 /\ -nondet_12^11+x_15^post4 == 0 /\ -__disjvr_1^post4+__disjvr_1^0 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ a_13^0-a_13^post4 == 0 /\ result_11^0-result_11^post4 == 0 /\ -temp0_14^post4+temp0_14^0 == 0), cost: 1 3: l3 -> l1 : __disjvr_0^0'=__disjvr_0^post3, result_11^0'=result_11^post3, a_13^0'=a_13^post3, x_15^0'=x_15^post3, nondet_12^0'=nondet_12^post3, __disjvr_1^0'=__disjvr_1^post3, temp0_14^0'=temp0_14^post3, a_21^0'=a_21^post3, (__disjvr_0^0-__disjvr_0^post3 == 0 /\ -a_21^post3+a_21^0 == 0 /\ result_11^0-result_11^post3 == 0 /\ -__disjvr_1^post3+__disjvr_1^0 == 0 /\ a_13^0-a_13^post3 == 0 /\ -x_15^post3+x_15^0 == 0 /\ temp0_14^0-temp0_14^post3 == 0 /\ nondet_12^0-nondet_12^post3 == 0), cost: 1 5: l5 -> l6 : __disjvr_0^0'=__disjvr_0^post5, result_11^0'=result_11^post5, a_13^0'=a_13^post5, x_15^0'=x_15^post5, nondet_12^0'=nondet_12^post5, __disjvr_1^0'=__disjvr_1^post5, temp0_14^0'=temp0_14^post5, a_21^0'=a_21^post5, (-nondet_12^post5+nondet_12^0 == 0 /\ -a_21^post5+a_21^0 == 0 /\ x_15^0-x_15^post5 == 0 /\ result_11^0-result_11^post5 == 0 /\ a_13^0-a_13^post5 == 0 /\ __disjvr_0^0-__disjvr_0^post5 == 0 /\ -temp0_14^post5+temp0_14^0 == 0 /\ __disjvr_1^0-__disjvr_1^post5 == 0 /\ -__disjvr_0^0+__disjvr_0^post5 == 0), cost: 1 6: l6 -> l7 : __disjvr_0^0'=__disjvr_0^post6, result_11^0'=result_11^post6, a_13^0'=a_13^post6, x_15^0'=x_15^post6, nondet_12^0'=nondet_12^post6, __disjvr_1^0'=__disjvr_1^post6, temp0_14^0'=temp0_14^post6, a_21^0'=a_21^post6, (nondet_12^0-nondet_12^post6 == 0 /\ -1+a_13^post6-3*a_21^0 <= 0 /\ 1-a_13^post6+3*a_21^0 <= 0 /\ -__disjvr_1^post6+__disjvr_1^0 == 0 /\ -a_21^post6+a_21^0 == 0 /\ result_11^0-result_11^post6 == 0 /\ x_15^0-x_15^post6 == 0 /\ -1-3*a_13^0+a_13^post6 == 0 /\ -temp0_14^post6+temp0_14^0 == 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0), cost: 1 7: l7 -> l8 : __disjvr_0^0'=__disjvr_0^post7, result_11^0'=result_11^post7, a_13^0'=a_13^post7, x_15^0'=x_15^post7, nondet_12^0'=nondet_12^post7, __disjvr_1^0'=__disjvr_1^post7, temp0_14^0'=temp0_14^post7, a_21^0'=a_21^post7, (-temp0_14^post7+temp0_14^0 == 0 /\ -a_21^post7+a_21^0 == 0 /\ -__disjvr_1^0+__disjvr_1^post7 == 0 /\ -nondet_12^post7+nondet_12^0 == 0 /\ __disjvr_0^0-__disjvr_0^post7 == 0 /\ result_11^0-result_11^post7 == 0 /\ __disjvr_1^0-__disjvr_1^post7 == 0 /\ x_15^0-x_15^post7 == 0 /\ a_13^0-a_13^post7 == 0), cost: 1 8: l8 -> l4 : __disjvr_0^0'=__disjvr_0^post8, result_11^0'=result_11^post8, a_13^0'=a_13^post8, x_15^0'=x_15^post8, nondet_12^0'=nondet_12^post8, __disjvr_1^0'=__disjvr_1^post8, temp0_14^0'=temp0_14^post8, a_21^0'=a_21^post8, (-x_15^post8+x_15^0 == 0 /\ -temp0_14^post8+temp0_14^0 == 0 /\ nondet_12^0-nondet_12^post8 == 0 /\ a_21^0-a_21^post8 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0 /\ result_11^0-result_11^post8 == 0 /\ -__disjvr_1^post8+__disjvr_1^0 == 0 /\ a_13^0-a_13^post8 == 0 /\ 1-a_21^0 <= 0), cost: 1 9: l4 -> l1 : __disjvr_0^0'=__disjvr_0^post9, result_11^0'=result_11^post9, a_13^0'=a_13^post9, x_15^0'=x_15^post9, nondet_12^0'=nondet_12^post9, __disjvr_1^0'=__disjvr_1^post9, temp0_14^0'=temp0_14^post9, a_21^0'=a_21^post9, (__disjvr_1^0-__disjvr_1^post9 == 0 /\ -temp0_14^post9+temp0_14^0 == 0 /\ __disjvr_0^0-__disjvr_0^post9 == 0 /\ x_15^0-x_15^post9 == 0 /\ -nondet_12^post9+nondet_12^0 == 0 /\ result_11^0-result_11^post9 == 0 /\ -a_21^post9+a_21^0 == 0 /\ a_13^0-a_13^post9 == 0), cost: 1 10: l9 -> l0 : __disjvr_0^0'=__disjvr_0^post10, result_11^0'=result_11^post10, a_13^0'=a_13^post10, x_15^0'=x_15^post10, nondet_12^0'=nondet_12^post10, __disjvr_1^0'=__disjvr_1^post10, temp0_14^0'=temp0_14^post10, a_21^0'=a_21^post10, (-x_15^post10+x_15^0 == 0 /\ a_21^0-a_21^post10 == 0 /\ nondet_12^0-nondet_12^post10 == 0 /\ __disjvr_0^0-__disjvr_0^post10 == 0 /\ -__disjvr_1^post10+__disjvr_1^0 == 0 /\ -temp0_14^post10+temp0_14^0 == 0 /\ -result_11^post10+result_11^0 == 0 /\ a_13^0-a_13^post10 == 0), cost: 1 Removed unreachable rules and leafs Start location: l9 0: l0 -> l1 : __disjvr_0^0'=__disjvr_0^post0, result_11^0'=result_11^post0, a_13^0'=a_13^post0, x_15^0'=x_15^post0, nondet_12^0'=nondet_12^post0, __disjvr_1^0'=__disjvr_1^post0, temp0_14^0'=temp0_14^post0, a_21^0'=a_21^post0, (-x_15^post0+x_15^0 == 0 /\ __disjvr_0^0-__disjvr_0^post0 == 0 /\ -temp0_14^post0+temp0_14^0 == 0 /\ a_21^0-a_21^post0 == 0 /\ nondet_12^0-nondet_12^post0 == 0 /\ result_11^0-result_11^post0 == 0 /\ a_13^0-a_13^post0 == 0 /\ -__disjvr_1^post0+__disjvr_1^0 == 0), cost: 1 2: l1 -> l3 : __disjvr_0^0'=__disjvr_0^post2, result_11^0'=result_11^post2, a_13^0'=a_13^post2, x_15^0'=x_15^post2, nondet_12^0'=nondet_12^post2, __disjvr_1^0'=__disjvr_1^post2, temp0_14^0'=temp0_14^post2, a_21^0'=a_21^post2, (0 == 0 /\ a_13^post2-x_15^post2 <= 0 /\ a_13^post2-x_15^post2 == 0 /\ 1-a_13^0 <= 0 /\ a_13^0-2*x_15^post2 <= 0 /\ -a_21^post2+a_21^0 == 0 /\ -a_13^post2+x_15^post2 <= 0 /\ 1-2*x_15^post2 <= 0 /\ -__disjvr_1^post2+__disjvr_1^0 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ x_15^post2-nondet_12^10 == 0 /\ result_11^0-result_11^post2 == 0 /\ -temp0_14^post2+temp0_14^0 == 0 /\ -a_13^0+2*x_15^post2 <= 0), cost: 1 4: l1 -> l5 : __disjvr_0^0'=__disjvr_0^post4, result_11^0'=result_11^post4, a_13^0'=a_13^post4, x_15^0'=x_15^post4, nondet_12^0'=nondet_12^post4, __disjvr_1^0'=__disjvr_1^post4, temp0_14^0'=temp0_14^post4, a_21^0'=a_21^post4, (0 == 0 /\ 1-a_13^0 <= 0 /\ -nondet_12^11+x_15^post4 == 0 /\ -__disjvr_1^post4+__disjvr_1^0 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ a_13^0-a_13^post4 == 0 /\ result_11^0-result_11^post4 == 0 /\ -temp0_14^post4+temp0_14^0 == 0), cost: 1 3: l3 -> l1 : __disjvr_0^0'=__disjvr_0^post3, result_11^0'=result_11^post3, a_13^0'=a_13^post3, x_15^0'=x_15^post3, nondet_12^0'=nondet_12^post3, __disjvr_1^0'=__disjvr_1^post3, temp0_14^0'=temp0_14^post3, a_21^0'=a_21^post3, (__disjvr_0^0-__disjvr_0^post3 == 0 /\ -a_21^post3+a_21^0 == 0 /\ result_11^0-result_11^post3 == 0 /\ -__disjvr_1^post3+__disjvr_1^0 == 0 /\ a_13^0-a_13^post3 == 0 /\ -x_15^post3+x_15^0 == 0 /\ temp0_14^0-temp0_14^post3 == 0 /\ nondet_12^0-nondet_12^post3 == 0), cost: 1 5: l5 -> l6 : __disjvr_0^0'=__disjvr_0^post5, result_11^0'=result_11^post5, a_13^0'=a_13^post5, x_15^0'=x_15^post5, nondet_12^0'=nondet_12^post5, __disjvr_1^0'=__disjvr_1^post5, temp0_14^0'=temp0_14^post5, a_21^0'=a_21^post5, (-nondet_12^post5+nondet_12^0 == 0 /\ -a_21^post5+a_21^0 == 0 /\ x_15^0-x_15^post5 == 0 /\ result_11^0-result_11^post5 == 0 /\ a_13^0-a_13^post5 == 0 /\ __disjvr_0^0-__disjvr_0^post5 == 0 /\ -temp0_14^post5+temp0_14^0 == 0 /\ __disjvr_1^0-__disjvr_1^post5 == 0 /\ -__disjvr_0^0+__disjvr_0^post5 == 0), cost: 1 6: l6 -> l7 : __disjvr_0^0'=__disjvr_0^post6, result_11^0'=result_11^post6, a_13^0'=a_13^post6, x_15^0'=x_15^post6, nondet_12^0'=nondet_12^post6, __disjvr_1^0'=__disjvr_1^post6, temp0_14^0'=temp0_14^post6, a_21^0'=a_21^post6, (nondet_12^0-nondet_12^post6 == 0 /\ -1+a_13^post6-3*a_21^0 <= 0 /\ 1-a_13^post6+3*a_21^0 <= 0 /\ -__disjvr_1^post6+__disjvr_1^0 == 0 /\ -a_21^post6+a_21^0 == 0 /\ result_11^0-result_11^post6 == 0 /\ x_15^0-x_15^post6 == 0 /\ -1-3*a_13^0+a_13^post6 == 0 /\ -temp0_14^post6+temp0_14^0 == 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0), cost: 1 7: l7 -> l8 : __disjvr_0^0'=__disjvr_0^post7, result_11^0'=result_11^post7, a_13^0'=a_13^post7, x_15^0'=x_15^post7, nondet_12^0'=nondet_12^post7, __disjvr_1^0'=__disjvr_1^post7, temp0_14^0'=temp0_14^post7, a_21^0'=a_21^post7, (-temp0_14^post7+temp0_14^0 == 0 /\ -a_21^post7+a_21^0 == 0 /\ -__disjvr_1^0+__disjvr_1^post7 == 0 /\ -nondet_12^post7+nondet_12^0 == 0 /\ __disjvr_0^0-__disjvr_0^post7 == 0 /\ result_11^0-result_11^post7 == 0 /\ __disjvr_1^0-__disjvr_1^post7 == 0 /\ x_15^0-x_15^post7 == 0 /\ a_13^0-a_13^post7 == 0), cost: 1 8: l8 -> l4 : __disjvr_0^0'=__disjvr_0^post8, result_11^0'=result_11^post8, a_13^0'=a_13^post8, x_15^0'=x_15^post8, nondet_12^0'=nondet_12^post8, __disjvr_1^0'=__disjvr_1^post8, temp0_14^0'=temp0_14^post8, a_21^0'=a_21^post8, (-x_15^post8+x_15^0 == 0 /\ -temp0_14^post8+temp0_14^0 == 0 /\ nondet_12^0-nondet_12^post8 == 0 /\ a_21^0-a_21^post8 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0 /\ result_11^0-result_11^post8 == 0 /\ -__disjvr_1^post8+__disjvr_1^0 == 0 /\ a_13^0-a_13^post8 == 0 /\ 1-a_21^0 <= 0), cost: 1 9: l4 -> l1 : __disjvr_0^0'=__disjvr_0^post9, result_11^0'=result_11^post9, a_13^0'=a_13^post9, x_15^0'=x_15^post9, nondet_12^0'=nondet_12^post9, __disjvr_1^0'=__disjvr_1^post9, temp0_14^0'=temp0_14^post9, a_21^0'=a_21^post9, (__disjvr_1^0-__disjvr_1^post9 == 0 /\ -temp0_14^post9+temp0_14^0 == 0 /\ __disjvr_0^0-__disjvr_0^post9 == 0 /\ x_15^0-x_15^post9 == 0 /\ -nondet_12^post9+nondet_12^0 == 0 /\ result_11^0-result_11^post9 == 0 /\ -a_21^post9+a_21^0 == 0 /\ a_13^0-a_13^post9 == 0), cost: 1 10: l9 -> l0 : __disjvr_0^0'=__disjvr_0^post10, result_11^0'=result_11^post10, a_13^0'=a_13^post10, x_15^0'=x_15^post10, nondet_12^0'=nondet_12^post10, __disjvr_1^0'=__disjvr_1^post10, temp0_14^0'=temp0_14^post10, a_21^0'=a_21^post10, (-x_15^post10+x_15^0 == 0 /\ a_21^0-a_21^post10 == 0 /\ nondet_12^0-nondet_12^post10 == 0 /\ __disjvr_0^0-__disjvr_0^post10 == 0 /\ -__disjvr_1^post10+__disjvr_1^0 == 0 /\ -temp0_14^post10+temp0_14^0 == 0 /\ -result_11^post10+result_11^0 == 0 /\ a_13^0-a_13^post10 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : __disjvr_0^0'=__disjvr_0^post0, result_11^0'=result_11^post0, a_13^0'=a_13^post0, x_15^0'=x_15^post0, nondet_12^0'=nondet_12^post0, __disjvr_1^0'=__disjvr_1^post0, temp0_14^0'=temp0_14^post0, a_21^0'=a_21^post0, (-x_15^post0+x_15^0 == 0 /\ __disjvr_0^0-__disjvr_0^post0 == 0 /\ -temp0_14^post0+temp0_14^0 == 0 /\ a_21^0-a_21^post0 == 0 /\ nondet_12^0-nondet_12^post0 == 0 /\ result_11^0-result_11^post0 == 0 /\ a_13^0-a_13^post0 == 0 /\ -__disjvr_1^post0+__disjvr_1^0 == 0), cost: 1 New rule: l0 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l3 : __disjvr_0^0'=__disjvr_0^post2, result_11^0'=result_11^post2, a_13^0'=a_13^post2, x_15^0'=x_15^post2, nondet_12^0'=nondet_12^post2, __disjvr_1^0'=__disjvr_1^post2, temp0_14^0'=temp0_14^post2, a_21^0'=a_21^post2, (0 == 0 /\ a_13^post2-x_15^post2 <= 0 /\ a_13^post2-x_15^post2 == 0 /\ 1-a_13^0 <= 0 /\ a_13^0-2*x_15^post2 <= 0 /\ -a_21^post2+a_21^0 == 0 /\ -a_13^post2+x_15^post2 <= 0 /\ 1-2*x_15^post2 <= 0 /\ -__disjvr_1^post2+__disjvr_1^0 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ x_15^post2-nondet_12^10 == 0 /\ result_11^0-result_11^post2 == 0 /\ -temp0_14^post2+temp0_14^0 == 0 /\ -a_13^0+2*x_15^post2 <= 0), cost: 1 New rule: l1 -> l3 : a_13^0'=nondet_12^10, x_15^0'=nondet_12^10, nondet_12^0'=nondet_12^post2, (a_13^0-2*nondet_12^10 == 0 /\ 1-2*nondet_12^10 <= 0), cost: 1 Applied preprocessing Original rule: l3 -> l1 : __disjvr_0^0'=__disjvr_0^post3, result_11^0'=result_11^post3, a_13^0'=a_13^post3, x_15^0'=x_15^post3, nondet_12^0'=nondet_12^post3, __disjvr_1^0'=__disjvr_1^post3, temp0_14^0'=temp0_14^post3, a_21^0'=a_21^post3, (__disjvr_0^0-__disjvr_0^post3 == 0 /\ -a_21^post3+a_21^0 == 0 /\ result_11^0-result_11^post3 == 0 /\ -__disjvr_1^post3+__disjvr_1^0 == 0 /\ a_13^0-a_13^post3 == 0 /\ -x_15^post3+x_15^0 == 0 /\ temp0_14^0-temp0_14^post3 == 0 /\ nondet_12^0-nondet_12^post3 == 0), cost: 1 New rule: l3 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l5 : __disjvr_0^0'=__disjvr_0^post4, result_11^0'=result_11^post4, a_13^0'=a_13^post4, x_15^0'=x_15^post4, nondet_12^0'=nondet_12^post4, __disjvr_1^0'=__disjvr_1^post4, temp0_14^0'=temp0_14^post4, a_21^0'=a_21^post4, (0 == 0 /\ 1-a_13^0 <= 0 /\ -nondet_12^11+x_15^post4 == 0 /\ -__disjvr_1^post4+__disjvr_1^0 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ a_13^0-a_13^post4 == 0 /\ result_11^0-result_11^post4 == 0 /\ -temp0_14^post4+temp0_14^0 == 0), cost: 1 New rule: l1 -> l5 : x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, -1+a_13^0 >= 0, cost: 1 Applied preprocessing Original rule: l5 -> l6 : __disjvr_0^0'=__disjvr_0^post5, result_11^0'=result_11^post5, a_13^0'=a_13^post5, x_15^0'=x_15^post5, nondet_12^0'=nondet_12^post5, __disjvr_1^0'=__disjvr_1^post5, temp0_14^0'=temp0_14^post5, a_21^0'=a_21^post5, (-nondet_12^post5+nondet_12^0 == 0 /\ -a_21^post5+a_21^0 == 0 /\ x_15^0-x_15^post5 == 0 /\ result_11^0-result_11^post5 == 0 /\ a_13^0-a_13^post5 == 0 /\ __disjvr_0^0-__disjvr_0^post5 == 0 /\ -temp0_14^post5+temp0_14^0 == 0 /\ __disjvr_1^0-__disjvr_1^post5 == 0 /\ -__disjvr_0^0+__disjvr_0^post5 == 0), cost: 1 New rule: l5 -> l6 : 0 == 0, cost: 1 Applied preprocessing Original rule: l6 -> l7 : __disjvr_0^0'=__disjvr_0^post6, result_11^0'=result_11^post6, a_13^0'=a_13^post6, x_15^0'=x_15^post6, nondet_12^0'=nondet_12^post6, __disjvr_1^0'=__disjvr_1^post6, temp0_14^0'=temp0_14^post6, a_21^0'=a_21^post6, (nondet_12^0-nondet_12^post6 == 0 /\ -1+a_13^post6-3*a_21^0 <= 0 /\ 1-a_13^post6+3*a_21^0 <= 0 /\ -__disjvr_1^post6+__disjvr_1^0 == 0 /\ -a_21^post6+a_21^0 == 0 /\ result_11^0-result_11^post6 == 0 /\ x_15^0-x_15^post6 == 0 /\ -1-3*a_13^0+a_13^post6 == 0 /\ -temp0_14^post6+temp0_14^0 == 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0), cost: 1 New rule: l6 -> l7 : a_13^0'=1+3*a_21^0, -3*a_13^0+3*a_21^0 == 0, cost: 1 Applied preprocessing Original rule: l7 -> l8 : __disjvr_0^0'=__disjvr_0^post7, result_11^0'=result_11^post7, a_13^0'=a_13^post7, x_15^0'=x_15^post7, nondet_12^0'=nondet_12^post7, __disjvr_1^0'=__disjvr_1^post7, temp0_14^0'=temp0_14^post7, a_21^0'=a_21^post7, (-temp0_14^post7+temp0_14^0 == 0 /\ -a_21^post7+a_21^0 == 0 /\ -__disjvr_1^0+__disjvr_1^post7 == 0 /\ -nondet_12^post7+nondet_12^0 == 0 /\ __disjvr_0^0-__disjvr_0^post7 == 0 /\ result_11^0-result_11^post7 == 0 /\ __disjvr_1^0-__disjvr_1^post7 == 0 /\ x_15^0-x_15^post7 == 0 /\ a_13^0-a_13^post7 == 0), cost: 1 New rule: l7 -> l8 : 0 == 0, cost: 1 Applied preprocessing Original rule: l8 -> l4 : __disjvr_0^0'=__disjvr_0^post8, result_11^0'=result_11^post8, a_13^0'=a_13^post8, x_15^0'=x_15^post8, nondet_12^0'=nondet_12^post8, __disjvr_1^0'=__disjvr_1^post8, temp0_14^0'=temp0_14^post8, a_21^0'=a_21^post8, (-x_15^post8+x_15^0 == 0 /\ -temp0_14^post8+temp0_14^0 == 0 /\ nondet_12^0-nondet_12^post8 == 0 /\ a_21^0-a_21^post8 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0 /\ result_11^0-result_11^post8 == 0 /\ -__disjvr_1^post8+__disjvr_1^0 == 0 /\ a_13^0-a_13^post8 == 0 /\ 1-a_21^0 <= 0), cost: 1 New rule: l8 -> l4 : -1+a_21^0 >= 0, cost: 1 Applied preprocessing Original rule: l4 -> l1 : __disjvr_0^0'=__disjvr_0^post9, result_11^0'=result_11^post9, a_13^0'=a_13^post9, x_15^0'=x_15^post9, nondet_12^0'=nondet_12^post9, __disjvr_1^0'=__disjvr_1^post9, temp0_14^0'=temp0_14^post9, a_21^0'=a_21^post9, (__disjvr_1^0-__disjvr_1^post9 == 0 /\ -temp0_14^post9+temp0_14^0 == 0 /\ __disjvr_0^0-__disjvr_0^post9 == 0 /\ x_15^0-x_15^post9 == 0 /\ -nondet_12^post9+nondet_12^0 == 0 /\ result_11^0-result_11^post9 == 0 /\ -a_21^post9+a_21^0 == 0 /\ a_13^0-a_13^post9 == 0), cost: 1 New rule: l4 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l0 : __disjvr_0^0'=__disjvr_0^post10, result_11^0'=result_11^post10, a_13^0'=a_13^post10, x_15^0'=x_15^post10, nondet_12^0'=nondet_12^post10, __disjvr_1^0'=__disjvr_1^post10, temp0_14^0'=temp0_14^post10, a_21^0'=a_21^post10, (-x_15^post10+x_15^0 == 0 /\ a_21^0-a_21^post10 == 0 /\ nondet_12^0-nondet_12^post10 == 0 /\ __disjvr_0^0-__disjvr_0^post10 == 0 /\ -__disjvr_1^post10+__disjvr_1^0 == 0 /\ -temp0_14^post10+temp0_14^0 == 0 /\ -result_11^post10+result_11^0 == 0 /\ a_13^0-a_13^post10 == 0), cost: 1 New rule: l9 -> l0 : TRUE, cost: 1 Simplified rules Start location: l9 11: l0 -> l1 : TRUE, cost: 1 12: l1 -> l3 : a_13^0'=nondet_12^10, x_15^0'=nondet_12^10, nondet_12^0'=nondet_12^post2, (a_13^0-2*nondet_12^10 == 0 /\ 1-2*nondet_12^10 <= 0), cost: 1 14: l1 -> l5 : x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, -1+a_13^0 >= 0, cost: 1 13: l3 -> l1 : TRUE, cost: 1 15: l5 -> l6 : 0 == 0, cost: 1 16: l6 -> l7 : a_13^0'=1+3*a_21^0, -3*a_13^0+3*a_21^0 == 0, cost: 1 17: l7 -> l8 : 0 == 0, cost: 1 18: l8 -> l4 : -1+a_21^0 >= 0, cost: 1 19: l4 -> l1 : TRUE, cost: 1 20: l9 -> l0 : TRUE, cost: 1 Eliminating location l0 by chaining: Applied chaining First rule: l9 -> l0 : TRUE, cost: 1 Second rule: l0 -> l1 : TRUE, cost: 1 New rule: l9 -> l1 : TRUE, cost: 2 Applied deletion Removed the following rules: 11 20 Eliminating location l3 by chaining: Applied chaining First rule: l1 -> l3 : a_13^0'=nondet_12^10, x_15^0'=nondet_12^10, nondet_12^0'=nondet_12^post2, (a_13^0-2*nondet_12^10 == 0 /\ 1-2*nondet_12^10 <= 0), cost: 1 Second rule: l3 -> l1 : TRUE, cost: 1 New rule: l1 -> l1 : a_13^0'=nondet_12^10, x_15^0'=nondet_12^10, nondet_12^0'=nondet_12^post2, (a_13^0-2*nondet_12^10 == 0 /\ 1-2*nondet_12^10 <= 0), cost: 2 Applied deletion Removed the following rules: 12 13 Eliminating location l5 by chaining: Applied chaining First rule: l1 -> l5 : x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, -1+a_13^0 >= 0, cost: 1 Second rule: l5 -> l6 : 0 == 0, cost: 1 New rule: l1 -> l6 : x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (0 == 0 /\ -1+a_13^0 >= 0), cost: 2 Applied simplification Original rule: l1 -> l6 : x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (0 == 0 /\ -1+a_13^0 >= 0), cost: 2 New rule: l1 -> l6 : x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, -1+a_13^0 >= 0, cost: 2 Applied deletion Removed the following rules: 14 15 Eliminating location l6 by chaining: Applied chaining First rule: l1 -> l6 : x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, -1+a_13^0 >= 0, cost: 2 Second rule: l6 -> l7 : a_13^0'=1+3*a_21^0, -3*a_13^0+3*a_21^0 == 0, cost: 1 New rule: l1 -> l7 : a_13^0'=1+3*a_21^post4, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (-3*a_13^0+3*a_21^post4 == 0 /\ -1+a_13^0 >= 0), cost: 3 Applied deletion Removed the following rules: 16 23 Eliminating location l7 by chaining: Applied chaining First rule: l1 -> l7 : a_13^0'=1+3*a_21^post4, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (-3*a_13^0+3*a_21^post4 == 0 /\ -1+a_13^0 >= 0), cost: 3 Second rule: l7 -> l8 : 0 == 0, cost: 1 New rule: l1 -> l8 : a_13^0'=1+3*a_21^post4, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (0 == 0 /\ -3*a_13^0+3*a_21^post4 == 0 /\ -1+a_13^0 >= 0), cost: 4 Applied simplification Original rule: l1 -> l8 : a_13^0'=1+3*a_21^post4, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (0 == 0 /\ -3*a_13^0+3*a_21^post4 == 0 /\ -1+a_13^0 >= 0), cost: 4 New rule: l1 -> l8 : a_13^0'=1+3*a_21^post4, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (-3*a_13^0+3*a_21^post4 == 0 /\ -1+a_13^0 >= 0), cost: 4 Applied deletion Removed the following rules: 17 24 Eliminating location l8 by chaining: Applied chaining First rule: l1 -> l8 : a_13^0'=1+3*a_21^post4, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (-3*a_13^0+3*a_21^post4 == 0 /\ -1+a_13^0 >= 0), cost: 4 Second rule: l8 -> l4 : -1+a_21^0 >= 0, cost: 1 New rule: l1 -> l4 : a_13^0'=1+3*a_21^post4, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (-3*a_13^0+3*a_21^post4 == 0 /\ -1+a_13^0 >= 0 /\ -1+a_21^post4 >= 0), cost: 5 Applied simplification Original rule: l1 -> l4 : a_13^0'=1+3*a_21^post4, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (-3*a_13^0+3*a_21^post4 == 0 /\ -1+a_13^0 >= 0 /\ -1+a_21^post4 >= 0), cost: 5 New rule: l1 -> l4 : a_13^0'=1+3*a_21^post4, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (-3*a_13^0+3*a_21^post4 == 0 /\ -1+a_21^post4 >= 0), cost: 5 Applied deletion Removed the following rules: 18 25 Eliminating location l4 by chaining: Applied chaining First rule: l1 -> l4 : a_13^0'=1+3*a_21^post4, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (-3*a_13^0+3*a_21^post4 == 0 /\ -1+a_21^post4 >= 0), cost: 5 Second rule: l4 -> l1 : TRUE, cost: 1 New rule: l1 -> l1 : a_13^0'=1+3*a_21^post4, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (-3*a_13^0+3*a_21^post4 == 0 /\ -1+a_21^post4 >= 0), cost: 6 Applied deletion Removed the following rules: 19 26 Eliminated locations on linear paths Start location: l9 22: l1 -> l1 : a_13^0'=nondet_12^10, x_15^0'=nondet_12^10, nondet_12^0'=nondet_12^post2, (a_13^0-2*nondet_12^10 == 0 /\ 1-2*nondet_12^10 <= 0), cost: 2 27: l1 -> l1 : a_13^0'=1+3*a_21^post4, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (-3*a_13^0+3*a_21^post4 == 0 /\ -1+a_21^post4 >= 0), cost: 6 21: l9 -> l1 : TRUE, cost: 2 Applied simplification Original rule: l1 -> l1 : a_13^0'=1+3*a_21^post4, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_21^post4, (-3*a_13^0+3*a_21^post4 == 0 /\ -1+a_21^post4 >= 0), cost: 6 New rule: l1 -> l1 : a_13^0'=1+3*a_13^0, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_13^0, -1+a_13^0 >= 0, cost: 6 Simplified simple loops Start location: l9 22: l1 -> l1 : a_13^0'=nondet_12^10, x_15^0'=nondet_12^10, nondet_12^0'=nondet_12^post2, (a_13^0-2*nondet_12^10 == 0 /\ 1-2*nondet_12^10 <= 0), cost: 2 28: l1 -> l1 : a_13^0'=1+3*a_13^0, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_13^0, -1+a_13^0 >= 0, cost: 6 21: l9 -> l1 : TRUE, cost: 2 Applied nonterm Original rule: l1 -> l1 : a_13^0'=1+3*a_13^0, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_13^0, -1+a_13^0 >= 0, cost: 6 New rule: l1 -> [10] : -1+a_13^0 >= 0, cost: NONTERM Applied acceleration Original rule: l1 -> l1 : a_13^0'=1+3*a_13^0, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=a_13^0, -1+a_13^0 >= 0, cost: 6 New rule: l1 -> l1 : a_13^0'=-1/2+a_13^0*3^n2+1/2*3^n2, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=-1/2+1/2*3^(-1+n2)+a_13^0*3^(-1+n2), -1+a_13^0 >= 0, cost: 6*n2 Applied deletion Removed the following rules: 28 Accelerated simple loops Start location: l9 22: l1 -> l1 : a_13^0'=nondet_12^10, x_15^0'=nondet_12^10, nondet_12^0'=nondet_12^post2, (a_13^0-2*nondet_12^10 == 0 /\ 1-2*nondet_12^10 <= 0), cost: 2 29: l1 -> [10] : -1+a_13^0 >= 0, cost: NONTERM 30: l1 -> l1 : a_13^0'=-1/2+a_13^0*3^n2+1/2*3^n2, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=-1/2+1/2*3^(-1+n2)+a_13^0*3^(-1+n2), -1+a_13^0 >= 0, cost: 6*n2 21: l9 -> l1 : TRUE, cost: 2 Applied chaining First rule: l9 -> l1 : TRUE, cost: 2 Second rule: l1 -> l1 : a_13^0'=nondet_12^10, x_15^0'=nondet_12^10, nondet_12^0'=nondet_12^post2, (a_13^0-2*nondet_12^10 == 0 /\ 1-2*nondet_12^10 <= 0), cost: 2 New rule: l9 -> l1 : a_13^0'=nondet_12^10, x_15^0'=nondet_12^10, nondet_12^0'=nondet_12^post2, (a_13^0-2*nondet_12^10 == 0 /\ 1-2*nondet_12^10 <= 0), cost: 4 Applied chaining First rule: l9 -> l1 : TRUE, cost: 2 Second rule: l1 -> [10] : -1+a_13^0 >= 0, cost: NONTERM New rule: l9 -> [10] : -1+a_13^0 >= 0, cost: NONTERM Applied chaining First rule: l9 -> l1 : TRUE, cost: 2 Second rule: l1 -> l1 : a_13^0'=-1/2+a_13^0*3^n2+1/2*3^n2, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=-1/2+1/2*3^(-1+n2)+a_13^0*3^(-1+n2), -1+a_13^0 >= 0, cost: 6*n2 New rule: l9 -> l1 : a_13^0'=-1/2+a_13^0*3^n2+1/2*3^n2, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=-1/2+1/2*3^(-1+n2)+a_13^0*3^(-1+n2), -1+a_13^0 >= 0, cost: 2+6*n2 Applied deletion Removed the following rules: 22 29 30 Chained accelerated rules with incoming rules Start location: l9 21: l9 -> l1 : TRUE, cost: 2 31: l9 -> l1 : a_13^0'=nondet_12^10, x_15^0'=nondet_12^10, nondet_12^0'=nondet_12^post2, (a_13^0-2*nondet_12^10 == 0 /\ 1-2*nondet_12^10 <= 0), cost: 4 32: l9 -> [10] : -1+a_13^0 >= 0, cost: NONTERM 33: l9 -> l1 : a_13^0'=-1/2+a_13^0*3^n2+1/2*3^n2, x_15^0'=nondet_12^11, nondet_12^0'=nondet_12^post4, a_21^0'=-1/2+1/2*3^(-1+n2)+a_13^0*3^(-1+n2), -1+a_13^0 >= 0, cost: 2+6*n2 Removed unreachable locations and irrelevant leafs Start location: l9 32: l9 -> [10] : -1+a_13^0 >= 0, cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 32 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: -1+a_13^0 >= 0