NO Initial ITS Start location: l5 Program variables: __const_10^0 a_19^0 i_13^0 i_20^0 rt_11^0 st_14^0 0: l0 -> l1 : __const_10^0'=__const_10^post1, a_19^0'=a_19^post1, i_13^0'=i_13^post1, i_20^0'=i_20^post1, rt_11^0'=rt_11^post1, st_14^0'=st_14^post1, (i_13^post1 <= 0 /\ i_13^post1 == 0 /\ -a_19^post1+a_19^0 == 0 /\ -st_14^post1+st_14^0 == 0 /\ -rt_11^post1+rt_11^0 == 0 /\ i_20^0-i_20^post1 == 0 /\ -i_13^post1 <= 0 /\ -__const_10^post1+__const_10^0 == 0), cost: 1 2: l1 -> l3 : __const_10^0'=__const_10^post3, a_19^0'=a_19^post3, i_13^0'=i_13^post3, i_20^0'=i_20^post3, rt_11^0'=rt_11^post3, st_14^0'=st_14^post3, (-st_14^0+rt_11^post3 == 0 /\ -a_19^post3+a_19^0 == 0 /\ -__const_10^post3+__const_10^0 == 0 /\ -i_13^0+__const_10^0 <= 0 /\ -st_14^post3+st_14^0 == 0 /\ i_13^0-i_13^post3 == 0 /\ i_20^0-i_20^post3 == 0), cost: 1 3: l1 -> l4 : __const_10^0'=__const_10^post4, a_19^0'=a_19^post4, i_13^0'=i_13^post4, i_20^0'=i_20^post4, rt_11^0'=rt_11^post4, st_14^0'=st_14^post4, (0 == 0 /\ 1-i_13^0+i_13^post4 == 0 /\ 1+i_13^post4-i_20^post4 <= 0 /\ 1+i_20^post4-__const_10^0 <= 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ a_19^0-a_19^post4 == 0 /\ -1-i_13^post4+i_20^post4 <= 0 /\ 1+i_13^0-__const_10^0 <= 0 /\ -__const_10^post4+__const_10^0 == 0), cost: 1 1: l2 -> l1 : __const_10^0'=__const_10^post2, a_19^0'=a_19^post2, i_13^0'=i_13^post2, i_20^0'=i_20^post2, rt_11^0'=rt_11^post2, st_14^0'=st_14^post2, (0 == 0 /\ -__const_10^post2+__const_10^0 == 0 /\ -a_19^post2+i_13^post2 <= 0 /\ 1-i_13^0+i_13^1 == 0 /\ -rt_11^post2+rt_11^0 == 0 /\ a_19^post2-i_13^post2 <= 0 /\ i_20^0-i_20^post2 == 0 /\ st_14^0-st_14^post2 == 0 /\ 1+i_13^0-__const_10^0 <= 0 /\ 1+i_13^post2 <= 0 /\ -1-i_13^post2 <= 0), cost: 1 4: l4 -> l1 : __const_10^0'=__const_10^post5, a_19^0'=a_19^post5, i_13^0'=i_13^post5, i_20^0'=i_20^post5, rt_11^0'=rt_11^post5, st_14^0'=st_14^post5, (-rt_11^post5+rt_11^0 == 0 /\ i_20^0-i_20^post5 == 0 /\ -i_13^post5+i_13^0 == 0 /\ st_14^0-st_14^post5 == 0 /\ a_19^0-a_19^post5 == 0 /\ -__const_10^post5+__const_10^0 == 0), cost: 1 5: l5 -> l0 : __const_10^0'=__const_10^post6, a_19^0'=a_19^post6, i_13^0'=i_13^post6, i_20^0'=i_20^post6, rt_11^0'=rt_11^post6, st_14^0'=st_14^post6, (i_20^0-i_20^post6 == 0 /\ a_19^0-a_19^post6 == 0 /\ st_14^0-st_14^post6 == 0 /\ -__const_10^post6+__const_10^0 == 0 /\ i_13^0-i_13^post6 == 0 /\ -rt_11^post6+rt_11^0 == 0), cost: 1 Chained Linear Paths Start location: l5 Program variables: __const_10^0 a_19^0 i_13^0 i_20^0 rt_11^0 st_14^0 2: l1 -> l3 : __const_10^0'=__const_10^post3, a_19^0'=a_19^post3, i_13^0'=i_13^post3, i_20^0'=i_20^post3, rt_11^0'=rt_11^post3, st_14^0'=st_14^post3, (-st_14^0+rt_11^post3 == 0 /\ -a_19^post3+a_19^0 == 0 /\ -__const_10^post3+__const_10^0 == 0 /\ -i_13^0+__const_10^0 <= 0 /\ -st_14^post3+st_14^0 == 0 /\ i_13^0-i_13^post3 == 0 /\ i_20^0-i_20^post3 == 0), cost: 1 7: l1 -> l1 : __const_10^0'=__const_10^post5, a_19^0'=a_19^post5, i_13^0'=i_13^post5, i_20^0'=i_20^post5, rt_11^0'=rt_11^post5, st_14^0'=st_14^post5, (0 == 0 /\ 1-i_13^0+i_13^post4 == 0 /\ -rt_11^post5+rt_11^post4 == 0 /\ 1+i_13^post4-i_20^post4 <= 0 /\ -i_13^post5+i_13^post4 == 0 /\ 1+i_20^post4-__const_10^0 <= 0 /\ -a_19^post5+a_19^post4 == 0 /\ -i_20^post5+i_20^post4 == 0 /\ -__const_10^post5+__const_10^post4 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ a_19^0-a_19^post4 == 0 /\ -1-i_13^post4+i_20^post4 <= 0 /\ 1+i_13^0-__const_10^0 <= 0 /\ st_14^post4-st_14^post5 == 0 /\ -__const_10^post4+__const_10^0 == 0), cost: 1 1: l2 -> l1 : __const_10^0'=__const_10^post2, a_19^0'=a_19^post2, i_13^0'=i_13^post2, i_20^0'=i_20^post2, rt_11^0'=rt_11^post2, st_14^0'=st_14^post2, (0 == 0 /\ -__const_10^post2+__const_10^0 == 0 /\ -a_19^post2+i_13^post2 <= 0 /\ 1-i_13^0+i_13^1 == 0 /\ -rt_11^post2+rt_11^0 == 0 /\ a_19^post2-i_13^post2 <= 0 /\ i_20^0-i_20^post2 == 0 /\ st_14^0-st_14^post2 == 0 /\ 1+i_13^0-__const_10^0 <= 0 /\ 1+i_13^post2 <= 0 /\ -1-i_13^post2 <= 0), cost: 1 6: l5 -> l1 : __const_10^0'=__const_10^post1, a_19^0'=a_19^post1, i_13^0'=i_13^post1, i_20^0'=i_20^post1, rt_11^0'=rt_11^post1, st_14^0'=st_14^post1, (i_20^0-i_20^post6 == 0 /\ i_20^post6-i_20^post1 == 0 /\ -a_19^post1+a_19^post6 == 0 /\ -rt_11^post1+rt_11^post6 == 0 /\ a_19^0-a_19^post6 == 0 /\ i_13^post1 <= 0 /\ i_13^post1 == 0 /\ st_14^0-st_14^post6 == 0 /\ -st_14^post1+st_14^post6 == 0 /\ -__const_10^post6+__const_10^0 == 0 /\ i_13^0-i_13^post6 == 0 /\ -i_13^post1 <= 0 /\ __const_10^post6-__const_10^post1 == 0 /\ -rt_11^post6+rt_11^0 == 0), cost: 1 Eliminating location l0 by chaining: Applied chaining First rule: l5 -> l0 : __const_10^0'=__const_10^post6, a_19^0'=a_19^post6, i_13^0'=i_13^post6, i_20^0'=i_20^post6, rt_11^0'=rt_11^post6, st_14^0'=st_14^post6, (i_20^0-i_20^post6 == 0 /\ a_19^0-a_19^post6 == 0 /\ st_14^0-st_14^post6 == 0 /\ -__const_10^post6+__const_10^0 == 0 /\ i_13^0-i_13^post6 == 0 /\ -rt_11^post6+rt_11^0 == 0), cost: 1 Second rule: l0 -> l1 : __const_10^0'=__const_10^post1, a_19^0'=a_19^post1, i_13^0'=i_13^post1, i_20^0'=i_20^post1, rt_11^0'=rt_11^post1, st_14^0'=st_14^post1, (i_13^post1 <= 0 /\ i_13^post1 == 0 /\ -a_19^post1+a_19^0 == 0 /\ -st_14^post1+st_14^0 == 0 /\ -rt_11^post1+rt_11^0 == 0 /\ i_20^0-i_20^post1 == 0 /\ -i_13^post1 <= 0 /\ -__const_10^post1+__const_10^0 == 0), cost: 1 New rule: l5 -> l1 : __const_10^0'=__const_10^post1, a_19^0'=a_19^post1, i_13^0'=i_13^post1, i_20^0'=i_20^post1, rt_11^0'=rt_11^post1, st_14^0'=st_14^post1, (i_20^0-i_20^post6 == 0 /\ i_20^post6-i_20^post1 == 0 /\ -a_19^post1+a_19^post6 == 0 /\ -rt_11^post1+rt_11^post6 == 0 /\ a_19^0-a_19^post6 == 0 /\ i_13^post1 <= 0 /\ i_13^post1 == 0 /\ st_14^0-st_14^post6 == 0 /\ -st_14^post1+st_14^post6 == 0 /\ -__const_10^post6+__const_10^0 == 0 /\ i_13^0-i_13^post6 == 0 /\ -i_13^post1 <= 0 /\ __const_10^post6-__const_10^post1 == 0 /\ -rt_11^post6+rt_11^0 == 0), cost: 1 Applied deletion Removed the following rules: 0 5 Eliminating location l4 by chaining: Applied chaining First rule: l1 -> l4 : __const_10^0'=__const_10^post4, a_19^0'=a_19^post4, i_13^0'=i_13^post4, i_20^0'=i_20^post4, rt_11^0'=rt_11^post4, st_14^0'=st_14^post4, (0 == 0 /\ 1-i_13^0+i_13^post4 == 0 /\ 1+i_13^post4-i_20^post4 <= 0 /\ 1+i_20^post4-__const_10^0 <= 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ a_19^0-a_19^post4 == 0 /\ -1-i_13^post4+i_20^post4 <= 0 /\ 1+i_13^0-__const_10^0 <= 0 /\ -__const_10^post4+__const_10^0 == 0), cost: 1 Second rule: l4 -> l1 : __const_10^0'=__const_10^post5, a_19^0'=a_19^post5, i_13^0'=i_13^post5, i_20^0'=i_20^post5, rt_11^0'=rt_11^post5, st_14^0'=st_14^post5, (-rt_11^post5+rt_11^0 == 0 /\ i_20^0-i_20^post5 == 0 /\ -i_13^post5+i_13^0 == 0 /\ st_14^0-st_14^post5 == 0 /\ a_19^0-a_19^post5 == 0 /\ -__const_10^post5+__const_10^0 == 0), cost: 1 New rule: l1 -> l1 : __const_10^0'=__const_10^post5, a_19^0'=a_19^post5, i_13^0'=i_13^post5, i_20^0'=i_20^post5, rt_11^0'=rt_11^post5, st_14^0'=st_14^post5, (0 == 0 /\ 1-i_13^0+i_13^post4 == 0 /\ -rt_11^post5+rt_11^post4 == 0 /\ 1+i_13^post4-i_20^post4 <= 0 /\ -i_13^post5+i_13^post4 == 0 /\ 1+i_20^post4-__const_10^0 <= 0 /\ -a_19^post5+a_19^post4 == 0 /\ -i_20^post5+i_20^post4 == 0 /\ -__const_10^post5+__const_10^post4 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ a_19^0-a_19^post4 == 0 /\ -1-i_13^post4+i_20^post4 <= 0 /\ 1+i_13^0-__const_10^0 <= 0 /\ st_14^post4-st_14^post5 == 0 /\ -__const_10^post4+__const_10^0 == 0), cost: 1 Applied deletion Removed the following rules: 3 4 Simplified Transitions Start location: l5 Program variables: __const_10^0 a_19^0 i_13^0 i_20^0 rt_11^0 st_14^0 9: l1 -> l3 : rt_11^0'=st_14^0, -i_13^0+__const_10^0 <= 0, cost: 1 11: l1 -> l1 : i_13^0'=-1+i_13^0, i_20^0'=i_13^0, 1+i_13^0-__const_10^0 <= 0, cost: 1 8: l2 -> l1 : a_19^0'=-1, i_13^0'=-1, 1+i_13^0-__const_10^0 <= 0, cost: 1 10: l5 -> l1 : i_13^0'=0, T, cost: 1 made implied equalities explicit Original rule: l2 -> l1 : __const_10^0'=__const_10^post2, a_19^0'=a_19^post2, i_13^0'=i_13^post2, i_20^0'=i_20^post2, rt_11^0'=rt_11^post2, st_14^0'=st_14^post2, (0 == 0 /\ -__const_10^post2+__const_10^0 == 0 /\ -a_19^post2+i_13^post2 <= 0 /\ 1-i_13^0+i_13^1 == 0 /\ -rt_11^post2+rt_11^0 == 0 /\ a_19^post2-i_13^post2 <= 0 /\ i_20^0-i_20^post2 == 0 /\ st_14^0-st_14^post2 == 0 /\ 1+i_13^0-__const_10^0 <= 0 /\ 1+i_13^post2 <= 0 /\ -1-i_13^post2 <= 0), cost: 1 New rule: l2 -> l1 : __const_10^0'=__const_10^post2, a_19^0'=a_19^post2, i_13^0'=i_13^post2, i_20^0'=i_20^post2, rt_11^0'=rt_11^post2, st_14^0'=st_14^post2, (0 == 0 /\ -__const_10^post2+__const_10^0 == 0 /\ -a_19^post2+i_13^post2 <= 0 /\ -a_19^post2+i_13^post2 == 0 /\ 1-i_13^0+i_13^1 == 0 /\ -rt_11^post2+rt_11^0 == 0 /\ a_19^post2-i_13^post2 <= 0 /\ i_20^0-i_20^post2 == 0 /\ st_14^0-st_14^post2 == 0 /\ 1+i_13^0-__const_10^0 <= 0 /\ 1+i_13^post2 <= 0 /\ 1+i_13^post2 == 0 /\ -1-i_13^post2 <= 0), cost: 1 Propagated Equalities Original rule: l2 -> l1 : __const_10^0'=__const_10^post2, a_19^0'=a_19^post2, i_13^0'=i_13^post2, i_20^0'=i_20^post2, rt_11^0'=rt_11^post2, st_14^0'=st_14^post2, (0 == 0 /\ -__const_10^post2+__const_10^0 == 0 /\ -a_19^post2+i_13^post2 <= 0 /\ -a_19^post2+i_13^post2 == 0 /\ 1-i_13^0+i_13^1 == 0 /\ -rt_11^post2+rt_11^0 == 0 /\ a_19^post2-i_13^post2 <= 0 /\ i_20^0-i_20^post2 == 0 /\ st_14^0-st_14^post2 == 0 /\ 1+i_13^0-__const_10^0 <= 0 /\ 1+i_13^post2 <= 0 /\ 1+i_13^post2 == 0 /\ -1-i_13^post2 <= 0), cost: 1 New rule: l2 -> l1 : __const_10^0'=__const_10^0, a_19^0'=-1, i_13^0'=-1, i_20^0'=i_20^0, rt_11^0'=rt_11^0, st_14^0'=st_14^0, (0 <= 0 /\ 0 == 0 /\ 1-i_13^0+i_13^1 == 0 /\ 1+i_13^0-__const_10^0 <= 0), cost: 1 propagated equality __const_10^post2 = __const_10^0 propagated equality a_19^post2 = i_13^post2 propagated equality rt_11^post2 = rt_11^0 propagated equality i_20^post2 = i_20^0 propagated equality st_14^post2 = st_14^0 propagated equality i_13^post2 = -1 Propagated Equalities Original rule: l2 -> l1 : __const_10^0'=__const_10^0, a_19^0'=-1, i_13^0'=-1, i_20^0'=i_20^0, rt_11^0'=rt_11^0, st_14^0'=st_14^0, (0 <= 0 /\ 0 == 0 /\ 1-i_13^0+i_13^1 == 0 /\ 1+i_13^0-__const_10^0 <= 0), cost: 1 New rule: l2 -> l1 : __const_10^0'=__const_10^0, a_19^0'=-1, i_13^0'=-1, i_20^0'=i_20^0, rt_11^0'=rt_11^0, st_14^0'=st_14^0, (0 <= 0 /\ 0 == 0 /\ 1+i_13^0-__const_10^0 <= 0), cost: 1 propagated equality i_13^1 = -1+i_13^0 Simplified Guard Original rule: l2 -> l1 : __const_10^0'=__const_10^0, a_19^0'=-1, i_13^0'=-1, i_20^0'=i_20^0, rt_11^0'=rt_11^0, st_14^0'=st_14^0, (0 <= 0 /\ 0 == 0 /\ 1+i_13^0-__const_10^0 <= 0), cost: 1 New rule: l2 -> l1 : __const_10^0'=__const_10^0, a_19^0'=-1, i_13^0'=-1, i_20^0'=i_20^0, rt_11^0'=rt_11^0, st_14^0'=st_14^0, 1+i_13^0-__const_10^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l2 -> l1 : __const_10^0'=__const_10^0, a_19^0'=-1, i_13^0'=-1, i_20^0'=i_20^0, rt_11^0'=rt_11^0, st_14^0'=st_14^0, 1+i_13^0-__const_10^0 <= 0, cost: 1 New rule: l2 -> l1 : a_19^0'=-1, i_13^0'=-1, 1+i_13^0-__const_10^0 <= 0, cost: 1 Propagated Equalities Original rule: l1 -> l3 : __const_10^0'=__const_10^post3, a_19^0'=a_19^post3, i_13^0'=i_13^post3, i_20^0'=i_20^post3, rt_11^0'=rt_11^post3, st_14^0'=st_14^post3, (-st_14^0+rt_11^post3 == 0 /\ -a_19^post3+a_19^0 == 0 /\ -__const_10^post3+__const_10^0 == 0 /\ -i_13^0+__const_10^0 <= 0 /\ -st_14^post3+st_14^0 == 0 /\ i_13^0-i_13^post3 == 0 /\ i_20^0-i_20^post3 == 0), cost: 1 New rule: l1 -> l3 : __const_10^0'=__const_10^0, a_19^0'=a_19^0, i_13^0'=i_13^0, i_20^0'=i_20^0, rt_11^0'=st_14^0, st_14^0'=st_14^0, (0 == 0 /\ -i_13^0+__const_10^0 <= 0), cost: 1 propagated equality rt_11^post3 = st_14^0 propagated equality a_19^post3 = a_19^0 propagated equality __const_10^post3 = __const_10^0 propagated equality st_14^post3 = st_14^0 propagated equality i_13^post3 = i_13^0 propagated equality i_20^post3 = i_20^0 Simplified Guard Original rule: l1 -> l3 : __const_10^0'=__const_10^0, a_19^0'=a_19^0, i_13^0'=i_13^0, i_20^0'=i_20^0, rt_11^0'=st_14^0, st_14^0'=st_14^0, (0 == 0 /\ -i_13^0+__const_10^0 <= 0), cost: 1 New rule: l1 -> l3 : __const_10^0'=__const_10^0, a_19^0'=a_19^0, i_13^0'=i_13^0, i_20^0'=i_20^0, rt_11^0'=st_14^0, st_14^0'=st_14^0, -i_13^0+__const_10^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l1 -> l3 : __const_10^0'=__const_10^0, a_19^0'=a_19^0, i_13^0'=i_13^0, i_20^0'=i_20^0, rt_11^0'=st_14^0, st_14^0'=st_14^0, -i_13^0+__const_10^0 <= 0, cost: 1 New rule: l1 -> l3 : rt_11^0'=st_14^0, -i_13^0+__const_10^0 <= 0, cost: 1 made implied equalities explicit Original rule: l5 -> l1 : __const_10^0'=__const_10^post1, a_19^0'=a_19^post1, i_13^0'=i_13^post1, i_20^0'=i_20^post1, rt_11^0'=rt_11^post1, st_14^0'=st_14^post1, (i_20^0-i_20^post6 == 0 /\ i_20^post6-i_20^post1 == 0 /\ -a_19^post1+a_19^post6 == 0 /\ -rt_11^post1+rt_11^post6 == 0 /\ a_19^0-a_19^post6 == 0 /\ i_13^post1 <= 0 /\ i_13^post1 == 0 /\ st_14^0-st_14^post6 == 0 /\ -st_14^post1+st_14^post6 == 0 /\ -__const_10^post6+__const_10^0 == 0 /\ i_13^0-i_13^post6 == 0 /\ -i_13^post1 <= 0 /\ __const_10^post6-__const_10^post1 == 0 /\ -rt_11^post6+rt_11^0 == 0), cost: 1 New rule: l5 -> l1 : __const_10^0'=__const_10^post1, a_19^0'=a_19^post1, i_13^0'=i_13^post1, i_20^0'=i_20^post1, rt_11^0'=rt_11^post1, st_14^0'=st_14^post1, (i_20^0-i_20^post6 == 0 /\ i_20^post6-i_20^post1 == 0 /\ -a_19^post1+a_19^post6 == 0 /\ -rt_11^post1+rt_11^post6 == 0 /\ a_19^0-a_19^post6 == 0 /\ i_13^post1 <= 0 /\ i_13^post1 == 0 /\ st_14^0-st_14^post6 == 0 /\ -st_14^post1+st_14^post6 == 0 /\ -__const_10^post6+__const_10^0 == 0 /\ i_13^0-i_13^post6 == 0 /\ -i_13^post1 <= 0 /\ __const_10^post6-__const_10^post1 == 0 /\ -rt_11^post6+rt_11^0 == 0), cost: 1 Propagated Equalities Original rule: l5 -> l1 : __const_10^0'=__const_10^post1, a_19^0'=a_19^post1, i_13^0'=i_13^post1, i_20^0'=i_20^post1, rt_11^0'=rt_11^post1, st_14^0'=st_14^post1, (i_20^0-i_20^post6 == 0 /\ i_20^post6-i_20^post1 == 0 /\ -a_19^post1+a_19^post6 == 0 /\ -rt_11^post1+rt_11^post6 == 0 /\ a_19^0-a_19^post6 == 0 /\ i_13^post1 <= 0 /\ i_13^post1 == 0 /\ st_14^0-st_14^post6 == 0 /\ -st_14^post1+st_14^post6 == 0 /\ -__const_10^post6+__const_10^0 == 0 /\ i_13^0-i_13^post6 == 0 /\ -i_13^post1 <= 0 /\ __const_10^post6-__const_10^post1 == 0 /\ -rt_11^post6+rt_11^0 == 0), cost: 1 New rule: l5 -> l1 : __const_10^0'=__const_10^post6, a_19^0'=a_19^post6, i_13^0'=0, i_20^0'=i_20^post6, rt_11^0'=rt_11^post6, st_14^0'=st_14^post6, (0 <= 0 /\ 0 == 0 /\ i_20^0-i_20^post6 == 0 /\ a_19^0-a_19^post6 == 0 /\ st_14^0-st_14^post6 == 0 /\ -__const_10^post6+__const_10^0 == 0 /\ i_13^0-i_13^post6 == 0 /\ -rt_11^post6+rt_11^0 == 0), cost: 1 propagated equality i_20^post1 = i_20^post6 propagated equality a_19^post1 = a_19^post6 propagated equality rt_11^post1 = rt_11^post6 propagated equality i_13^post1 = 0 propagated equality st_14^post1 = st_14^post6 propagated equality __const_10^post1 = __const_10^post6 Propagated Equalities Original rule: l5 -> l1 : __const_10^0'=__const_10^post6, a_19^0'=a_19^post6, i_13^0'=0, i_20^0'=i_20^post6, rt_11^0'=rt_11^post6, st_14^0'=st_14^post6, (0 <= 0 /\ 0 == 0 /\ i_20^0-i_20^post6 == 0 /\ a_19^0-a_19^post6 == 0 /\ st_14^0-st_14^post6 == 0 /\ -__const_10^post6+__const_10^0 == 0 /\ i_13^0-i_13^post6 == 0 /\ -rt_11^post6+rt_11^0 == 0), cost: 1 New rule: l5 -> l1 : __const_10^0'=__const_10^0, a_19^0'=a_19^0, i_13^0'=0, i_20^0'=i_20^0, rt_11^0'=rt_11^0, st_14^0'=st_14^0, (0 <= 0 /\ 0 == 0), cost: 1 propagated equality i_20^post6 = i_20^0 propagated equality a_19^post6 = a_19^0 propagated equality st_14^post6 = st_14^0 propagated equality __const_10^post6 = __const_10^0 propagated equality i_13^post6 = i_13^0 propagated equality rt_11^post6 = rt_11^0 Simplified Guard Original rule: l5 -> l1 : __const_10^0'=__const_10^0, a_19^0'=a_19^0, i_13^0'=0, i_20^0'=i_20^0, rt_11^0'=rt_11^0, st_14^0'=st_14^0, (0 <= 0 /\ 0 == 0), cost: 1 New rule: l5 -> l1 : __const_10^0'=__const_10^0, a_19^0'=a_19^0, i_13^0'=0, i_20^0'=i_20^0, rt_11^0'=rt_11^0, st_14^0'=st_14^0, T, cost: 1 Removed Trivial Updates Original rule: l5 -> l1 : __const_10^0'=__const_10^0, a_19^0'=a_19^0, i_13^0'=0, i_20^0'=i_20^0, rt_11^0'=rt_11^0, st_14^0'=st_14^0, T, cost: 1 New rule: l5 -> l1 : i_13^0'=0, T, cost: 1 made implied equalities explicit Original rule: l1 -> l1 : __const_10^0'=__const_10^post5, a_19^0'=a_19^post5, i_13^0'=i_13^post5, i_20^0'=i_20^post5, rt_11^0'=rt_11^post5, st_14^0'=st_14^post5, (0 == 0 /\ 1-i_13^0+i_13^post4 == 0 /\ -rt_11^post5+rt_11^post4 == 0 /\ 1+i_13^post4-i_20^post4 <= 0 /\ -i_13^post5+i_13^post4 == 0 /\ 1+i_20^post4-__const_10^0 <= 0 /\ -a_19^post5+a_19^post4 == 0 /\ -i_20^post5+i_20^post4 == 0 /\ -__const_10^post5+__const_10^post4 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ a_19^0-a_19^post4 == 0 /\ -1-i_13^post4+i_20^post4 <= 0 /\ 1+i_13^0-__const_10^0 <= 0 /\ st_14^post4-st_14^post5 == 0 /\ -__const_10^post4+__const_10^0 == 0), cost: 1 New rule: l1 -> l1 : __const_10^0'=__const_10^post5, a_19^0'=a_19^post5, i_13^0'=i_13^post5, i_20^0'=i_20^post5, rt_11^0'=rt_11^post5, st_14^0'=st_14^post5, (0 == 0 /\ 1-i_13^0+i_13^post4 == 0 /\ -rt_11^post5+rt_11^post4 == 0 /\ 1+i_13^post4-i_20^post4 <= 0 /\ 1+i_13^post4-i_20^post4 == 0 /\ -i_13^post5+i_13^post4 == 0 /\ 1+i_20^post4-__const_10^0 <= 0 /\ -a_19^post5+a_19^post4 == 0 /\ -i_20^post5+i_20^post4 == 0 /\ -__const_10^post5+__const_10^post4 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ a_19^0-a_19^post4 == 0 /\ -1-i_13^post4+i_20^post4 <= 0 /\ 1+i_13^0-__const_10^0 <= 0 /\ st_14^post4-st_14^post5 == 0 /\ -__const_10^post4+__const_10^0 == 0), cost: 1 Propagated Equalities Original rule: l1 -> l1 : __const_10^0'=__const_10^post5, a_19^0'=a_19^post5, i_13^0'=i_13^post5, i_20^0'=i_20^post5, rt_11^0'=rt_11^post5, st_14^0'=st_14^post5, (0 == 0 /\ 1-i_13^0+i_13^post4 == 0 /\ -rt_11^post5+rt_11^post4 == 0 /\ 1+i_13^post4-i_20^post4 <= 0 /\ 1+i_13^post4-i_20^post4 == 0 /\ -i_13^post5+i_13^post4 == 0 /\ 1+i_20^post4-__const_10^0 <= 0 /\ -a_19^post5+a_19^post4 == 0 /\ -i_20^post5+i_20^post4 == 0 /\ -__const_10^post5+__const_10^post4 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ a_19^0-a_19^post4 == 0 /\ -1-i_13^post4+i_20^post4 <= 0 /\ 1+i_13^0-__const_10^0 <= 0 /\ st_14^post4-st_14^post5 == 0 /\ -__const_10^post4+__const_10^0 == 0), cost: 1 New rule: l1 -> l1 : __const_10^0'=__const_10^post4, a_19^0'=a_19^post4, i_13^0'=i_13^post4, i_20^0'=i_20^post4, rt_11^0'=rt_11^post4, st_14^0'=st_14^post4, (0 == 0 /\ 1-i_13^0+i_13^post4 == 0 /\ 1+i_13^post4-i_20^post4 <= 0 /\ 1+i_13^post4-i_20^post4 == 0 /\ 1+i_20^post4-__const_10^0 <= 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ a_19^0-a_19^post4 == 0 /\ -1-i_13^post4+i_20^post4 <= 0 /\ 1+i_13^0-__const_10^0 <= 0 /\ -__const_10^post4+__const_10^0 == 0), cost: 1 propagated equality rt_11^post5 = rt_11^post4 propagated equality i_13^post5 = i_13^post4 propagated equality a_19^post5 = a_19^post4 propagated equality i_20^post5 = i_20^post4 propagated equality __const_10^post5 = __const_10^post4 propagated equality st_14^post5 = st_14^post4 Propagated Equalities Original rule: l1 -> l1 : __const_10^0'=__const_10^post4, a_19^0'=a_19^post4, i_13^0'=i_13^post4, i_20^0'=i_20^post4, rt_11^0'=rt_11^post4, st_14^0'=st_14^post4, (0 == 0 /\ 1-i_13^0+i_13^post4 == 0 /\ 1+i_13^post4-i_20^post4 <= 0 /\ 1+i_13^post4-i_20^post4 == 0 /\ 1+i_20^post4-__const_10^0 <= 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ a_19^0-a_19^post4 == 0 /\ -1-i_13^post4+i_20^post4 <= 0 /\ 1+i_13^0-__const_10^0 <= 0 /\ -__const_10^post4+__const_10^0 == 0), cost: 1 New rule: l1 -> l1 : __const_10^0'=__const_10^0, a_19^0'=a_19^0, i_13^0'=-1+i_13^0, i_20^0'=i_13^0, rt_11^0'=rt_11^0, st_14^0'=st_14^0, (0 <= 0 /\ 0 == 0 /\ 1+i_13^0-__const_10^0 <= 0), cost: 1 propagated equality i_13^post4 = -1+i_13^0 propagated equality i_20^post4 = i_13^0 propagated equality rt_11^post4 = rt_11^0 propagated equality st_14^post4 = st_14^0 propagated equality a_19^post4 = a_19^0 propagated equality __const_10^post4 = __const_10^0 Simplified Guard Original rule: l1 -> l1 : __const_10^0'=__const_10^0, a_19^0'=a_19^0, i_13^0'=-1+i_13^0, i_20^0'=i_13^0, rt_11^0'=rt_11^0, st_14^0'=st_14^0, (0 <= 0 /\ 0 == 0 /\ 1+i_13^0-__const_10^0 <= 0), cost: 1 New rule: l1 -> l1 : __const_10^0'=__const_10^0, a_19^0'=a_19^0, i_13^0'=-1+i_13^0, i_20^0'=i_13^0, rt_11^0'=rt_11^0, st_14^0'=st_14^0, 1+i_13^0-__const_10^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l1 -> l1 : __const_10^0'=__const_10^0, a_19^0'=a_19^0, i_13^0'=-1+i_13^0, i_20^0'=i_13^0, rt_11^0'=rt_11^0, st_14^0'=st_14^0, 1+i_13^0-__const_10^0 <= 0, cost: 1 New rule: l1 -> l1 : i_13^0'=-1+i_13^0, i_20^0'=i_13^0, 1+i_13^0-__const_10^0 <= 0, cost: 1 Step with 10 Trace 10[T] Blocked [{}, {}] Step with 9 Trace 10[T], 9[(-i_13^0+__const_10^0 <= 0)] Blocked [{}, {}, {}] Backtrack Trace 10[T] Blocked [{}, {9[T]}] Step with 11 Trace 10[T], 11[(1+i_13^0-__const_10^0 <= 0)] Blocked [{}, {9[T]}, {}] Nonterm Start location: l5 Program variables: __const_10^0 a_19^0 i_13^0 i_20^0 rt_11^0 st_14^0 9: l1 -> l3 : rt_11^0'=st_14^0, -i_13^0+__const_10^0 <= 0, cost: 1 11: l1 -> l1 : i_13^0'=-1+i_13^0, i_20^0'=i_13^0, 1+i_13^0-__const_10^0 <= 0, cost: 1 12: l1 -> LoAT_sink : (-1-i_13^0+__const_10^0 >= 0 /\ -1+n >= 0), cost: NONTERM 13: l1 -> l1 : i_13^0'=i_13^0-n, i_20^0'=1+i_13^0-n, (-1-i_13^0+__const_10^0 >= 0 /\ -1+n >= 0), cost: 1 8: l2 -> l1 : a_19^0'=-1, i_13^0'=-1, 1+i_13^0-__const_10^0 <= 0, cost: 1 10: l5 -> l1 : i_13^0'=0, T, cost: 1 Certificate of Non-Termination Original rule: l1 -> l1 : i_13^0'=-1+i_13^0, i_20^0'=i_13^0, (1+i_13^0-__const_10^0 <= 0), cost: 1 New rule: l1 -> LoAT_sink : (-1-i_13^0+__const_10^0 >= 0 /\ -1+n >= 0), cost: NONTERM -1-i_13^0+__const_10^0 >= 0 [0]: monotonic increase yields -1-i_13^0+__const_10^0 >= 0 Replacement map: {-1-i_13^0+__const_10^0 >= 0 -> -1-i_13^0+__const_10^0 >= 0} Loop Acceleration Original rule: l1 -> l1 : i_13^0'=-1+i_13^0, i_20^0'=i_13^0, (1+i_13^0-__const_10^0 <= 0), cost: 1 New rule: l1 -> l1 : i_13^0'=i_13^0-n, i_20^0'=1+i_13^0-n, (-1-i_13^0+__const_10^0 >= 0 /\ -1+n >= 0), cost: 1 -1-i_13^0+__const_10^0 >= 0 [0]: monotonic increase yields -1-i_13^0+__const_10^0 >= 0 Replacement map: {-1-i_13^0+__const_10^0 >= 0 -> -1-i_13^0+__const_10^0 >= 0} Step with 12 Trace 10[T], 12[(-1-i_13^0+__const_10^0 >= 0 /\ -1+n >= 0)] Blocked [{}, {9[T]}, {12[T]}] Refute Counterexample [ __const_10^0=1 a_19^0=0 i_13^0=0 i_20^0=0 rt_11^0=0 st_14^0=0 ] 10 [ __const_10^0=1 a_19^0=0 i_13^0=i_13^0 i_20^0=0 rt_11^0=0 st_14^0=0 ] 12 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b