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ITS pair #487098138
details
property
value
status
complete
benchmark
ex21.t2.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
From_T2
run statistics
property
value
solver
LoAT
configuration
loat_nonterm_proofout
runtime (wallclock)
0.098426 seconds
cpu usage
0.09995
user time
0.076156
system time
0.023794
max virtual memory
113188.0
max residence set size
19044.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(0),?)
output
WORST_CASE(Omega(0),?) Initial ITS Start location: l6 0: l0 -> l1 : __const_100^0'=__const_100^post0, y6^0'=y6^post0, i^0'=i^post0, y4^0'=y4^post0, __const_200^0'=__const_200^post0, y8^0'=y8^post0, j^0'=j^post0, (y6^0-y6^post0 == 0 /\ __const_100^0-__const_100^post0 == 0 /\ -y8^post0+y8^0 == 0 /\ __const_100^0-i^0 <= 0 /\ -i^post0+i^0 == 0 /\ -__const_100^0+j^post0 == 0 /\ __const_200^0-__const_200^post0 == 0 /\ -y4^post0+y4^0 == 0), cost: 1 1: l0 -> l2 : __const_100^0'=__const_100^post1, y6^0'=y6^post1, i^0'=i^post1, y4^0'=y4^post1, __const_200^0'=__const_200^post1, y8^0'=y8^post1, j^0'=j^post1, (-1-i^0+i^post1 == 0 /\ __const_200^0-__const_200^post1 == 0 /\ -j^post1+j^0 == 0 /\ -i^0+y4^post1 == 0 /\ -i^0+y6^post1 == 0 /\ __const_100^0-__const_100^post1 == 0 /\ 1-__const_100^0+i^0 <= 0 /\ -y8^post1+y8^0 == 0), cost: 1 5: l1 -> l3 : __const_100^0'=__const_100^post5, y6^0'=y6^post5, i^0'=i^post5, y4^0'=y4^post5, __const_200^0'=__const_200^post5, y8^0'=y8^post5, j^0'=j^post5, (-j^post5+j^0 == 0 /\ -y8^post5+y8^0 == 0 /\ y6^0-y6^post5 == 0 /\ -y4^post5+y4^0 == 0 /\ i^0-i^post5 == 0 /\ __const_100^0-__const_100^post5 == 0 /\ -__const_200^post5+__const_200^0 == 0), cost: 1 2: l2 -> l0 : __const_100^0'=__const_100^post2, y6^0'=y6^post2, i^0'=i^post2, y4^0'=y4^post2, __const_200^0'=__const_200^post2, y8^0'=y8^post2, j^0'=j^post2, (-y8^post2+y8^0 == 0 /\ -j^post2+j^0 == 0 /\ __const_100^0-__const_100^post2 == 0 /\ y4^0-y4^post2 == 0 /\ -__const_200^post2+__const_200^0 == 0 /\ y6^0-y6^post2 == 0 /\ i^0-i^post2 == 0), cost: 1 3: l3 -> l4 : __const_100^0'=__const_100^post3, y6^0'=y6^post3, i^0'=i^post3, y4^0'=y4^post3, __const_200^0'=__const_200^post3, y8^0'=y8^post3, j^0'=j^post3, (__const_100^0-__const_100^post3 == 0 /\ y6^0-y6^post3 == 0 /\ __const_200^0-j^0 <= 0 /\ i^0-i^post3 == 0 /\ -__const_200^post3+__const_200^0 == 0 /\ -j^post3+j^0 == 0 /\ -y8^post3+y8^0 == 0 /\ y4^0-y4^post3 == 0), cost: 1 4: l3 -> l1 : __const_100^0'=__const_100^post4, y6^0'=y6^post4, i^0'=i^post4, y4^0'=y4^post4, __const_200^0'=__const_200^post4, y8^0'=y8^post4, j^0'=j^post4, (-__const_200^post4+__const_200^0 == 0 /\ y6^0-y6^post4 == 0 /\ 1-__const_200^0+j^0 <= 0 /\ y8^post4-j^0 == 0 /\ i^0-i^post4 == 0 /\ __const_100^0-__const_100^post4 == 0 /\ y4^0-y4^post4 == 0 /\ -1+j^post4-j^0 == 0), cost: 1 6: l5 -> l2 : __const_100^0'=__const_100^post6, y6^0'=y6^post6, i^0'=i^post6, y4^0'=y4^post6, __const_200^0'=__const_200^post6, y8^0'=y8^post6, j^0'=j^post6, (-y8^post6+y8^0 == 0 /\ j^0-j^post6 == 0 /\ -__const_200^post6+__const_200^0 == 0 /\ __const_100^0-__const_100^post6 == 0 /\ y6^0-y6^post6 == 0 /\ i^post6 == 0 /\ -y4^post6+y4^0 == 0), cost: 1 7: l6 -> l5 : __const_100^0'=__const_100^post7, y6^0'=y6^post7, i^0'=i^post7, y4^0'=y4^post7, __const_200^0'=__const_200^post7, y8^0'=y8^post7, j^0'=j^post7, (-y4^post7+y4^0 == 0 /\ __const_100^0-__const_100^post7 == 0 /\ -j^post7+j^0 == 0 /\ y8^0-y8^post7 == 0 /\ __const_200^0-__const_200^post7 == 0 /\ -i^post7+i^0 == 0 /\ y6^0-y6^post7 == 0), cost: 1 Removed unreachable rules and leafs Start location: l6 0: l0 -> l1 : __const_100^0'=__const_100^post0, y6^0'=y6^post0, i^0'=i^post0, y4^0'=y4^post0, __const_200^0'=__const_200^post0, y8^0'=y8^post0, j^0'=j^post0, (y6^0-y6^post0 == 0 /\ __const_100^0-__const_100^post0 == 0 /\ -y8^post0+y8^0 == 0 /\ __const_100^0-i^0 <= 0 /\ -i^post0+i^0 == 0 /\ -__const_100^0+j^post0 == 0 /\ __const_200^0-__const_200^post0 == 0 /\ -y4^post0+y4^0 == 0), cost: 1 1: l0 -> l2 : __const_100^0'=__const_100^post1, y6^0'=y6^post1, i^0'=i^post1, y4^0'=y4^post1, __const_200^0'=__const_200^post1, y8^0'=y8^post1, j^0'=j^post1, (-1-i^0+i^post1 == 0 /\ __const_200^0-__const_200^post1 == 0 /\ -j^post1+j^0 == 0 /\ -i^0+y4^post1 == 0 /\ -i^0+y6^post1 == 0 /\ __const_100^0-__const_100^post1 == 0 /\ 1-__const_100^0+i^0 <= 0 /\ -y8^post1+y8^0 == 0), cost: 1 5: l1 -> l3 : __const_100^0'=__const_100^post5, y6^0'=y6^post5, i^0'=i^post5, y4^0'=y4^post5, __const_200^0'=__const_200^post5, y8^0'=y8^post5, j^0'=j^post5, (-j^post5+j^0 == 0 /\ -y8^post5+y8^0 == 0 /\ y6^0-y6^post5 == 0 /\ -y4^post5+y4^0 == 0 /\ i^0-i^post5 == 0 /\ __const_100^0-__const_100^post5 == 0 /\ -__const_200^post5+__const_200^0 == 0), cost: 1 2: l2 -> l0 : __const_100^0'=__const_100^post2, y6^0'=y6^post2, i^0'=i^post2, y4^0'=y4^post2, __const_200^0'=__const_200^post2, y8^0'=y8^post2, j^0'=j^post2, (-y8^post2+y8^0 == 0 /\ -j^post2+j^0 == 0 /\ __const_100^0-__const_100^post2 == 0 /\ y4^0-y4^post2 == 0 /\ -__const_200^post2+__const_200^0 == 0 /\ y6^0-y6^post2 == 0 /\ i^0-i^post2 == 0), cost: 1 4: l3 -> l1 : __const_100^0'=__const_100^post4, y6^0'=y6^post4, i^0'=i^post4, y4^0'=y4^post4, __const_200^0'=__const_200^post4, y8^0'=y8^post4, j^0'=j^post4, (-__const_200^post4+__const_200^0 == 0 /\ y6^0-y6^post4 == 0 /\ 1-__const_200^0+j^0 <= 0 /\ y8^post4-j^0 == 0 /\ i^0-i^post4 == 0 /\ __const_100^0-__const_100^post4 == 0 /\ y4^0-y4^post4 == 0 /\ -1+j^post4-j^0 == 0), cost: 1 6: l5 -> l2 : __const_100^0'=__const_100^post6, y6^0'=y6^post6, i^0'=i^post6, y4^0'=y4^post6, __const_200^0'=__const_200^post6, y8^0'=y8^post6, j^0'=j^post6, (-y8^post6+y8^0 == 0 /\ j^0-j^post6 == 0 /\ -__const_200^post6+__const_200^0 == 0 /\ __const_100^0-__const_100^post6 == 0 /\ y6^0-y6^post6 == 0 /\ i^post6 == 0 /\ -y4^post6+y4^0 == 0), cost: 1 7: l6 -> l5 : __const_100^0'=__const_100^post7, y6^0'=y6^post7, i^0'=i^post7, y4^0'=y4^post7, __const_200^0'=__const_200^post7, y8^0'=y8^post7, j^0'=j^post7, (-y4^post7+y4^0 == 0 /\ __const_100^0-__const_100^post7 == 0 /\ -j^post7+j^0 == 0 /\ y8^0-y8^post7 == 0 /\ __const_200^0-__const_200^post7 == 0 /\ -i^post7+i^0 == 0 /\ y6^0-y6^post7 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : __const_100^0'=__const_100^post0, y6^0'=y6^post0, i^0'=i^post0, y4^0'=y4^post0, __const_200^0'=__const_200^post0, y8^0'=y8^post0, j^0'=j^post0, (y6^0-y6^post0 == 0 /\ __const_100^0-__const_100^post0 == 0 /\ -y8^post0+y8^0 == 0 /\ __const_100^0-i^0 <= 0 /\ -i^post0+i^0 == 0 /\ -__const_100^0+j^post0 == 0 /\ __const_200^0-__const_200^post0 == 0 /\ -y4^post0+y4^0 == 0), cost: 1 New rule: l0 -> l1 : j^0'=__const_100^0, __const_100^0-i^0 <= 0, cost: 1 Applied preprocessing Original rule: l0 -> l2 : __const_100^0'=__const_100^post1, y6^0'=y6^post1, i^0'=i^post1, y4^0'=y4^post1, __const_200^0'=__const_200^post1, y8^0'=y8^post1, j^0'=j^post1, (-1-i^0+i^post1 == 0 /\ __const_200^0-__const_200^post1 == 0 /\ -j^post1+j^0 == 0 /\ -i^0+y4^post1 == 0 /\ -i^0+y6^post1 == 0 /\ __const_100^0-__const_100^post1 == 0 /\ 1-__const_100^0+i^0 <= 0 /\ -y8^post1+y8^0 == 0), cost: 1 New rule: l0 -> l2 : y6^0'=i^0, i^0'=1+i^0, y4^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 1 Applied preprocessing Original rule: l2 -> l0 : __const_100^0'=__const_100^post2, y6^0'=y6^post2, i^0'=i^post2, y4^0'=y4^post2, __const_200^0'=__const_200^post2, y8^0'=y8^post2, j^0'=j^post2, (-y8^post2+y8^0 == 0 /\ -j^post2+j^0 == 0 /\ __const_100^0-__const_100^post2 == 0 /\ y4^0-y4^post2 == 0 /\ -__const_200^post2+__const_200^0 == 0 /\ y6^0-y6^post2 == 0 /\ i^0-i^post2 == 0), cost: 1 New rule: l2 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l3 -> l1 : __const_100^0'=__const_100^post4, y6^0'=y6^post4, i^0'=i^post4, y4^0'=y4^post4, __const_200^0'=__const_200^post4, y8^0'=y8^post4, j^0'=j^post4, (-__const_200^post4+__const_200^0 == 0 /\ y6^0-y6^post4 == 0 /\ 1-__const_200^0+j^0 <= 0 /\ y8^post4-j^0 == 0 /\ i^0-i^post4 == 0 /\ __const_100^0-__const_100^post4 == 0 /\ y4^0-y4^post4 == 0 /\ -1+j^post4-j^0 == 0), cost: 1 New rule: l3 -> l1 : y8^0'=j^0, j^0'=1+j^0, 1-__const_200^0+j^0 <= 0, cost: 1 Applied preprocessing Original rule: l1 -> l3 : __const_100^0'=__const_100^post5, y6^0'=y6^post5, i^0'=i^post5, y4^0'=y4^post5, __const_200^0'=__const_200^post5, y8^0'=y8^post5, j^0'=j^post5, (-j^post5+j^0 == 0 /\ -y8^post5+y8^0 == 0 /\ y6^0-y6^post5 == 0 /\ -y4^post5+y4^0 == 0 /\ i^0-i^post5 == 0 /\ __const_100^0-__const_100^post5 == 0 /\ -__const_200^post5+__const_200^0 == 0), cost: 1 New rule: l1 -> l3 : TRUE, cost: 1 Applied preprocessing Original rule: l5 -> l2 : __const_100^0'=__const_100^post6, y6^0'=y6^post6, i^0'=i^post6, y4^0'=y4^post6, __const_200^0'=__const_200^post6, y8^0'=y8^post6, j^0'=j^post6, (-y8^post6+y8^0 == 0 /\ j^0-j^post6 == 0 /\ -__const_200^post6+__const_200^0 == 0 /\ __const_100^0-__const_100^post6 == 0 /\ y6^0-y6^post6 == 0 /\ i^post6 == 0 /\ -y4^post6+y4^0 == 0), cost: 1 New rule: l5 -> l2 : i^0'=0, TRUE, cost: 1 Applied preprocessing Original rule: l6 -> l5 : __const_100^0'=__const_100^post7, y6^0'=y6^post7, i^0'=i^post7, y4^0'=y4^post7, __const_200^0'=__const_200^post7, y8^0'=y8^post7, j^0'=j^post7, (-y4^post7+y4^0 == 0 /\ __const_100^0-__const_100^post7 == 0 /\ -j^post7+j^0 == 0 /\ y8^0-y8^post7 == 0 /\ __const_200^0-__const_200^post7 == 0 /\ -i^post7+i^0 == 0 /\ y6^0-y6^post7 == 0), cost: 1 New rule: l6 -> l5 : TRUE, cost: 1 Simplified rules Start location: l6 8: l0 -> l1 : j^0'=__const_100^0, __const_100^0-i^0 <= 0, cost: 1 9: l0 -> l2 : y6^0'=i^0, i^0'=1+i^0, y4^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 1 12: l1 -> l3 : TRUE, cost: 1 10: l2 -> l0 : TRUE, cost: 1 11: l3 -> l1 : y8^0'=j^0, j^0'=1+j^0, 1-__const_200^0+j^0 <= 0, cost: 1 13: l5 -> l2 : i^0'=0, TRUE, cost: 1 14: l6 -> l5 : TRUE, cost: 1 Eliminating location l5 by chaining: Applied chaining First rule: l6 -> l5 : TRUE, cost: 1 Second rule: l5 -> l2 : i^0'=0, TRUE, cost: 1 New rule: l6 -> l2 : i^0'=0, TRUE, cost: 2 Applied deletion Removed the following rules: 13 14 Eliminating location l3 by chaining: Applied chaining First rule: l1 -> l3 : TRUE, cost: 1 Second rule: l3 -> l1 : y8^0'=j^0, j^0'=1+j^0, 1-__const_200^0+j^0 <= 0, cost: 1 New rule: l1 -> l1 : y8^0'=j^0, j^0'=1+j^0, 1-__const_200^0+j^0 <= 0, cost: 2
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