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ITS pair #487097208
details
property
value
status
complete
benchmark
byron-2.t2_fixed.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
From_T2
run statistics
property
value
solver
LoAT
configuration
loat_nonterm_proofout
runtime (wallclock)
0.454048 seconds
cpu usage
0.458606
user time
0.415286
system time
0.04332
max virtual memory
113188.0
max residence set size
19576.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(0),?)
output
WORST_CASE(Omega(0),?) Initial ITS Start location: l7 0: l0 -> l1 : nd_12^0'=nd_12^post0, x_13^0'=x_13^post0, rv_15^0'=rv_15^post0, st_16^0'=st_16^post0, rt_11^0'=rt_11^post0, y_17^0'=y_17^post0, st_14^0'=st_14^post0, (x_13^0-x_13^post0 == 0 /\ nd_12^0-nd_12^post0 == 0 /\ -y_17^post0+y_17^0 == 0 /\ -rv_15^post0+rv_15^0 == 0 /\ -st_14^post0+st_14^0 == 0 /\ rt_11^0-rt_11^post0 == 0 /\ -st_16^post0+st_16^0 == 0), cost: 1 1: l1 -> l2 : nd_12^0'=nd_12^post1, x_13^0'=x_13^post1, rv_15^0'=rv_15^post1, st_16^0'=st_16^post1, rt_11^0'=rt_11^post1, y_17^0'=y_17^post1, st_14^0'=st_14^post1, (-st_14^0+rt_11^post1 == 0 /\ x_13^0 <= 0 /\ st_16^0-st_16^post1 == 0 /\ -st_14^post1+st_14^0 == 0 /\ x_13^0-x_13^post1 == 0 /\ rv_15^0-rv_15^post1 == 0 /\ nd_12^0-nd_12^post1 == 0 /\ -y_17^post1+y_17^0 == 0), cost: 1 2: l1 -> l3 : nd_12^0'=nd_12^post2, x_13^0'=x_13^post2, rv_15^0'=rv_15^post2, st_16^0'=st_16^post2, rt_11^0'=rt_11^post2, y_17^0'=y_17^post2, st_14^0'=st_14^post2, (0 == 0 /\ rv_15^post2 <= 0 /\ rt_11^0-rt_11^post2 == 0 /\ rv_15^post2-nd_12^10 == 0 /\ 1-x_13^0 <= 0 /\ 2-y_17^post2 <= 0 /\ -st_14^post2+st_14^0 == 0 /\ -x_13^post2+x_13^0 == 0 /\ 1-y_17^0+y_17^post2 == 0 /\ -rv_15^post2 <= 0), cost: 1 4: l1 -> l5 : nd_12^0'=nd_12^post4, x_13^0'=x_13^post4, rv_15^0'=rv_15^post4, st_16^0'=st_16^post4, rt_11^0'=rt_11^post4, y_17^0'=y_17^post4, st_14^0'=st_14^post4, (0 == 0 /\ -st_16^post4+st_16^0 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ -y_17^post4+y_17^0 == 0 /\ rv_15^post4-nd_12^11 == 0 /\ 1-x_13^0 <= 0 /\ x_13^0-x_13^post4 == 0), cost: 1 3: l3 -> l1 : nd_12^0'=nd_12^post3, x_13^0'=x_13^post3, rv_15^0'=rv_15^post3, st_16^0'=st_16^post3, rt_11^0'=rt_11^post3, y_17^0'=y_17^post3, st_14^0'=st_14^post3, (-rt_11^post3+rt_11^0 == 0 /\ rv_15^0-rv_15^post3 == 0 /\ nd_12^0-nd_12^post3 == 0 /\ -st_14^post3+st_14^0 == 0 /\ st_16^0-st_16^post3 == 0 /\ -y_17^post3+y_17^0 == 0 /\ x_13^0-x_13^post3 == 0), cost: 1 5: l5 -> l6 : nd_12^0'=nd_12^post5, x_13^0'=x_13^post5, rv_15^0'=rv_15^post5, st_16^0'=st_16^post5, rt_11^0'=rt_11^post5, y_17^0'=y_17^post5, st_14^0'=st_14^post5, (-st_14^post5+st_14^0 == 0 /\ -y_17^post5+y_17^0 == 0 /\ 1-rv_15^0 <= 0 /\ nd_12^0-nd_12^post5 == 0 /\ -st_16^post5+st_16^0 == 0 /\ -rt_11^post5+rt_11^0 == 0 /\ x_13^0-x_13^post5 == 0 /\ rv_15^0-rv_15^post5 == 0), cost: 1 6: l5 -> l6 : nd_12^0'=nd_12^post6, x_13^0'=x_13^post6, rv_15^0'=rv_15^post6, st_16^0'=st_16^post6, rt_11^0'=rt_11^post6, y_17^0'=y_17^post6, st_14^0'=st_14^post6, (nd_12^0-nd_12^post6 == 0 /\ x_13^0-x_13^post6 == 0 /\ y_17^0-y_17^post6 == 0 /\ -st_14^post6+st_14^0 == 0 /\ -rv_15^post6+rv_15^0 == 0 /\ rt_11^0-rt_11^post6 == 0 /\ 1+rv_15^0 <= 0 /\ -st_16^post6+st_16^0 == 0), cost: 1 7: l6 -> l4 : nd_12^0'=nd_12^post7, x_13^0'=x_13^post7, rv_15^0'=rv_15^post7, st_16^0'=st_16^post7, rt_11^0'=rt_11^post7, y_17^0'=y_17^post7, st_14^0'=st_14^post7, (0 == 0 /\ rv_15^0-rv_15^post7 == 0 /\ -st_14^post7+st_14^0 == 0 /\ 1-x_13^0+x_13^post7 == 0 /\ -rt_11^post7+rt_11^0 == 0 /\ y_17^post7-nd_12^12 == 0 /\ st_16^0-st_16^post7 == 0), cost: 1 8: l4 -> l1 : nd_12^0'=nd_12^post8, x_13^0'=x_13^post8, rv_15^0'=rv_15^post8, st_16^0'=st_16^post8, rt_11^0'=rt_11^post8, y_17^0'=y_17^post8, st_14^0'=st_14^post8, (-st_16^post8+st_16^0 == 0 /\ x_13^0-x_13^post8 == 0 /\ -st_14^post8+st_14^0 == 0 /\ -rt_11^post8+rt_11^0 == 0 /\ -y_17^post8+y_17^0 == 0 /\ nd_12^0-nd_12^post8 == 0 /\ rv_15^0-rv_15^post8 == 0), cost: 1 9: l7 -> l0 : nd_12^0'=nd_12^post9, x_13^0'=x_13^post9, rv_15^0'=rv_15^post9, st_16^0'=st_16^post9, rt_11^0'=rt_11^post9, y_17^0'=y_17^post9, st_14^0'=st_14^post9, (x_13^0-x_13^post9 == 0 /\ -rv_15^post9+rv_15^0 == 0 /\ -st_16^post9+st_16^0 == 0 /\ -st_14^post9+st_14^0 == 0 /\ rt_11^0-rt_11^post9 == 0 /\ nd_12^0-nd_12^post9 == 0 /\ y_17^0-y_17^post9 == 0), cost: 1 Removed unreachable rules and leafs Start location: l7 0: l0 -> l1 : nd_12^0'=nd_12^post0, x_13^0'=x_13^post0, rv_15^0'=rv_15^post0, st_16^0'=st_16^post0, rt_11^0'=rt_11^post0, y_17^0'=y_17^post0, st_14^0'=st_14^post0, (x_13^0-x_13^post0 == 0 /\ nd_12^0-nd_12^post0 == 0 /\ -y_17^post0+y_17^0 == 0 /\ -rv_15^post0+rv_15^0 == 0 /\ -st_14^post0+st_14^0 == 0 /\ rt_11^0-rt_11^post0 == 0 /\ -st_16^post0+st_16^0 == 0), cost: 1 2: l1 -> l3 : nd_12^0'=nd_12^post2, x_13^0'=x_13^post2, rv_15^0'=rv_15^post2, st_16^0'=st_16^post2, rt_11^0'=rt_11^post2, y_17^0'=y_17^post2, st_14^0'=st_14^post2, (0 == 0 /\ rv_15^post2 <= 0 /\ rt_11^0-rt_11^post2 == 0 /\ rv_15^post2-nd_12^10 == 0 /\ 1-x_13^0 <= 0 /\ 2-y_17^post2 <= 0 /\ -st_14^post2+st_14^0 == 0 /\ -x_13^post2+x_13^0 == 0 /\ 1-y_17^0+y_17^post2 == 0 /\ -rv_15^post2 <= 0), cost: 1 4: l1 -> l5 : nd_12^0'=nd_12^post4, x_13^0'=x_13^post4, rv_15^0'=rv_15^post4, st_16^0'=st_16^post4, rt_11^0'=rt_11^post4, y_17^0'=y_17^post4, st_14^0'=st_14^post4, (0 == 0 /\ -st_16^post4+st_16^0 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ -y_17^post4+y_17^0 == 0 /\ rv_15^post4-nd_12^11 == 0 /\ 1-x_13^0 <= 0 /\ x_13^0-x_13^post4 == 0), cost: 1 3: l3 -> l1 : nd_12^0'=nd_12^post3, x_13^0'=x_13^post3, rv_15^0'=rv_15^post3, st_16^0'=st_16^post3, rt_11^0'=rt_11^post3, y_17^0'=y_17^post3, st_14^0'=st_14^post3, (-rt_11^post3+rt_11^0 == 0 /\ rv_15^0-rv_15^post3 == 0 /\ nd_12^0-nd_12^post3 == 0 /\ -st_14^post3+st_14^0 == 0 /\ st_16^0-st_16^post3 == 0 /\ -y_17^post3+y_17^0 == 0 /\ x_13^0-x_13^post3 == 0), cost: 1 5: l5 -> l6 : nd_12^0'=nd_12^post5, x_13^0'=x_13^post5, rv_15^0'=rv_15^post5, st_16^0'=st_16^post5, rt_11^0'=rt_11^post5, y_17^0'=y_17^post5, st_14^0'=st_14^post5, (-st_14^post5+st_14^0 == 0 /\ -y_17^post5+y_17^0 == 0 /\ 1-rv_15^0 <= 0 /\ nd_12^0-nd_12^post5 == 0 /\ -st_16^post5+st_16^0 == 0 /\ -rt_11^post5+rt_11^0 == 0 /\ x_13^0-x_13^post5 == 0 /\ rv_15^0-rv_15^post5 == 0), cost: 1 6: l5 -> l6 : nd_12^0'=nd_12^post6, x_13^0'=x_13^post6, rv_15^0'=rv_15^post6, st_16^0'=st_16^post6, rt_11^0'=rt_11^post6, y_17^0'=y_17^post6, st_14^0'=st_14^post6, (nd_12^0-nd_12^post6 == 0 /\ x_13^0-x_13^post6 == 0 /\ y_17^0-y_17^post6 == 0 /\ -st_14^post6+st_14^0 == 0 /\ -rv_15^post6+rv_15^0 == 0 /\ rt_11^0-rt_11^post6 == 0 /\ 1+rv_15^0 <= 0 /\ -st_16^post6+st_16^0 == 0), cost: 1 7: l6 -> l4 : nd_12^0'=nd_12^post7, x_13^0'=x_13^post7, rv_15^0'=rv_15^post7, st_16^0'=st_16^post7, rt_11^0'=rt_11^post7, y_17^0'=y_17^post7, st_14^0'=st_14^post7, (0 == 0 /\ rv_15^0-rv_15^post7 == 0 /\ -st_14^post7+st_14^0 == 0 /\ 1-x_13^0+x_13^post7 == 0 /\ -rt_11^post7+rt_11^0 == 0 /\ y_17^post7-nd_12^12 == 0 /\ st_16^0-st_16^post7 == 0), cost: 1 8: l4 -> l1 : nd_12^0'=nd_12^post8, x_13^0'=x_13^post8, rv_15^0'=rv_15^post8, st_16^0'=st_16^post8, rt_11^0'=rt_11^post8, y_17^0'=y_17^post8, st_14^0'=st_14^post8, (-st_16^post8+st_16^0 == 0 /\ x_13^0-x_13^post8 == 0 /\ -st_14^post8+st_14^0 == 0 /\ -rt_11^post8+rt_11^0 == 0 /\ -y_17^post8+y_17^0 == 0 /\ nd_12^0-nd_12^post8 == 0 /\ rv_15^0-rv_15^post8 == 0), cost: 1 9: l7 -> l0 : nd_12^0'=nd_12^post9, x_13^0'=x_13^post9, rv_15^0'=rv_15^post9, st_16^0'=st_16^post9, rt_11^0'=rt_11^post9, y_17^0'=y_17^post9, st_14^0'=st_14^post9, (x_13^0-x_13^post9 == 0 /\ -rv_15^post9+rv_15^0 == 0 /\ -st_16^post9+st_16^0 == 0 /\ -st_14^post9+st_14^0 == 0 /\ rt_11^0-rt_11^post9 == 0 /\ nd_12^0-nd_12^post9 == 0 /\ y_17^0-y_17^post9 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : nd_12^0'=nd_12^post0, x_13^0'=x_13^post0, rv_15^0'=rv_15^post0, st_16^0'=st_16^post0, rt_11^0'=rt_11^post0, y_17^0'=y_17^post0, st_14^0'=st_14^post0, (x_13^0-x_13^post0 == 0 /\ nd_12^0-nd_12^post0 == 0 /\ -y_17^post0+y_17^0 == 0 /\ -rv_15^post0+rv_15^0 == 0 /\ -st_14^post0+st_14^0 == 0 /\ rt_11^0-rt_11^post0 == 0 /\ -st_16^post0+st_16^0 == 0), cost: 1 New rule: l0 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l3 : nd_12^0'=nd_12^post2, x_13^0'=x_13^post2, rv_15^0'=rv_15^post2, st_16^0'=st_16^post2, rt_11^0'=rt_11^post2, y_17^0'=y_17^post2, st_14^0'=st_14^post2, (0 == 0 /\ rv_15^post2 <= 0 /\ rt_11^0-rt_11^post2 == 0 /\ rv_15^post2-nd_12^10 == 0 /\ 1-x_13^0 <= 0 /\ 2-y_17^post2 <= 0 /\ -st_14^post2+st_14^0 == 0 /\ -x_13^post2+x_13^0 == 0 /\ 1-y_17^0+y_17^post2 == 0 /\ -rv_15^post2 <= 0), cost: 1 New rule: l1 -> l3 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=-1+y_17^0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: 1 Applied preprocessing Original rule: l3 -> l1 : nd_12^0'=nd_12^post3, x_13^0'=x_13^post3, rv_15^0'=rv_15^post3, st_16^0'=st_16^post3, rt_11^0'=rt_11^post3, y_17^0'=y_17^post3, st_14^0'=st_14^post3, (-rt_11^post3+rt_11^0 == 0 /\ rv_15^0-rv_15^post3 == 0 /\ nd_12^0-nd_12^post3 == 0 /\ -st_14^post3+st_14^0 == 0 /\ st_16^0-st_16^post3 == 0 /\ -y_17^post3+y_17^0 == 0 /\ x_13^0-x_13^post3 == 0), cost: 1 New rule: l3 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l5 : nd_12^0'=nd_12^post4, x_13^0'=x_13^post4, rv_15^0'=rv_15^post4, st_16^0'=st_16^post4, rt_11^0'=rt_11^post4, y_17^0'=y_17^post4, st_14^0'=st_14^post4, (0 == 0 /\ -st_16^post4+st_16^0 == 0 /\ -rt_11^post4+rt_11^0 == 0 /\ -st_14^post4+st_14^0 == 0 /\ -y_17^post4+y_17^0 == 0 /\ rv_15^post4-nd_12^11 == 0 /\ 1-x_13^0 <= 0 /\ x_13^0-x_13^post4 == 0), cost: 1 New rule: l1 -> l5 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 1 Applied preprocessing Original rule: l5 -> l6 : nd_12^0'=nd_12^post5, x_13^0'=x_13^post5, rv_15^0'=rv_15^post5, st_16^0'=st_16^post5, rt_11^0'=rt_11^post5, y_17^0'=y_17^post5, st_14^0'=st_14^post5, (-st_14^post5+st_14^0 == 0 /\ -y_17^post5+y_17^0 == 0 /\ 1-rv_15^0 <= 0 /\ nd_12^0-nd_12^post5 == 0 /\ -st_16^post5+st_16^0 == 0 /\ -rt_11^post5+rt_11^0 == 0 /\ x_13^0-x_13^post5 == 0 /\ rv_15^0-rv_15^post5 == 0), cost: 1 New rule: l5 -> l6 : -1+rv_15^0 >= 0, cost: 1 Applied preprocessing Original rule: l5 -> l6 : nd_12^0'=nd_12^post6, x_13^0'=x_13^post6, rv_15^0'=rv_15^post6, st_16^0'=st_16^post6, rt_11^0'=rt_11^post6, y_17^0'=y_17^post6, st_14^0'=st_14^post6, (nd_12^0-nd_12^post6 == 0 /\ x_13^0-x_13^post6 == 0 /\ y_17^0-y_17^post6 == 0 /\ -st_14^post6+st_14^0 == 0 /\ -rv_15^post6+rv_15^0 == 0 /\ rt_11^0-rt_11^post6 == 0 /\ 1+rv_15^0 <= 0 /\ -st_16^post6+st_16^0 == 0), cost: 1 New rule: l5 -> l6 : 1+rv_15^0 <= 0, cost: 1 Applied preprocessing Original rule: l6 -> l4 : nd_12^0'=nd_12^post7, x_13^0'=x_13^post7, rv_15^0'=rv_15^post7, st_16^0'=st_16^post7, rt_11^0'=rt_11^post7, y_17^0'=y_17^post7, st_14^0'=st_14^post7, (0 == 0 /\ rv_15^0-rv_15^post7 == 0 /\ -st_14^post7+st_14^0 == 0 /\ 1-x_13^0+x_13^post7 == 0 /\ -rt_11^post7+rt_11^0 == 0 /\ y_17^post7-nd_12^12 == 0 /\ st_16^0-st_16^post7 == 0), cost: 1 New rule: l6 -> l4 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, y_17^0'=nd_12^12, 0 == 0, cost: 1 Applied preprocessing Original rule: l4 -> l1 : nd_12^0'=nd_12^post8, x_13^0'=x_13^post8, rv_15^0'=rv_15^post8, st_16^0'=st_16^post8, rt_11^0'=rt_11^post8, y_17^0'=y_17^post8, st_14^0'=st_14^post8, (-st_16^post8+st_16^0 == 0 /\ x_13^0-x_13^post8 == 0 /\ -st_14^post8+st_14^0 == 0 /\ -rt_11^post8+rt_11^0 == 0 /\ -y_17^post8+y_17^0 == 0 /\ nd_12^0-nd_12^post8 == 0 /\ rv_15^0-rv_15^post8 == 0), cost: 1 New rule: l4 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l0 : nd_12^0'=nd_12^post9, x_13^0'=x_13^post9, rv_15^0'=rv_15^post9, st_16^0'=st_16^post9, rt_11^0'=rt_11^post9, y_17^0'=y_17^post9, st_14^0'=st_14^post9, (x_13^0-x_13^post9 == 0 /\ -rv_15^post9+rv_15^0 == 0 /\ -st_16^post9+st_16^0 == 0 /\ -st_14^post9+st_14^0 == 0 /\ rt_11^0-rt_11^post9 == 0 /\ nd_12^0-nd_12^post9 == 0 /\ y_17^0-y_17^post9 == 0), cost: 1 New rule: l7 -> l0 : TRUE, cost: 1 Simplified rules Start location: l7 10: l0 -> l1 : TRUE, cost: 1 11: l1 -> l3 : nd_12^0'=nd_12^post2, rv_15^0'=0, st_16^0'=st_16^post2, y_17^0'=-1+y_17^0, (-1+x_13^0 >= 0 /\ -3+y_17^0 >= 0), cost: 1 13: l1 -> l5 : nd_12^0'=nd_12^post4, rv_15^0'=nd_12^11, -1+x_13^0 >= 0, cost: 1 12: l3 -> l1 : TRUE, cost: 1 14: l5 -> l6 : -1+rv_15^0 >= 0, cost: 1 15: l5 -> l6 : 1+rv_15^0 <= 0, cost: 1 16: l6 -> l4 : nd_12^0'=nd_12^post7, x_13^0'=-1+x_13^0, y_17^0'=nd_12^12, 0 == 0, cost: 1 17: l4 -> l1 : TRUE, cost: 1 18: l7 -> l0 : TRUE, cost: 1 Eliminating location l0 by chaining: Applied chaining First rule:
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