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ITS pair #487097901
details
property
value
status
complete
benchmark
ns.t2_fixed.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
From_T2
run statistics
property
value
solver
LoAT
configuration
loat_nonterm_proofout
runtime (wallclock)
0.177087 seconds
cpu usage
0.180118
user time
0.158379
system time
0.021739
max virtual memory
113188.0
max residence set size
19216.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(0),?)
output
WORST_CASE(Omega(0),?) Initial ITS Start location: l13 0: l0 -> l1 : i2^0'=i2^post0, k4^0'=k4^post0, x1^0'=x1^post0, j3^0'=j3^post0, l5^0'=l5^post0, (x1^0-x1^post0 == 0 /\ i2^0-i2^post0 == 0 /\ -l5^post0+l5^0 == 0 /\ -j3^post0+j3^0 == 0 /\ k4^0-k4^post0 == 0 /\ 5-i2^0 <= 0), cost: 1 1: l0 -> l2 : i2^0'=i2^post1, k4^0'=k4^post1, x1^0'=x1^post1, j3^0'=j3^post1, l5^0'=l5^post1, (-x1^post1+x1^0 == 0 /\ i2^0-i2^post1 == 0 /\ j3^post1 == 0 /\ -l5^post1+l5^0 == 0 /\ -4+i2^0 <= 0 /\ -k4^post1+k4^0 == 0), cost: 1 4: l1 -> l5 : i2^0'=i2^post4, k4^0'=k4^post4, x1^0'=x1^post4, j3^0'=j3^post4, l5^0'=l5^post4, (-l5^post4+l5^0 == 0 /\ -x1^post4+x1^0 == 0 /\ -j3^post4+j3^0 == 0 /\ i2^0-i2^post4 == 0 /\ k4^0-k4^post4 == 0), cost: 1 3: l2 -> l4 : i2^0'=i2^post3, k4^0'=k4^post3, x1^0'=x1^post3, j3^0'=j3^post3, l5^0'=l5^post3, (-l5^post3+l5^0 == 0 /\ x1^0-x1^post3 == 0 /\ j3^0-j3^post3 == 0 /\ k4^0-k4^post3 == 0 /\ i2^0-i2^post3 == 0), cost: 1 2: l3 -> l0 : i2^0'=i2^post2, k4^0'=k4^post2, x1^0'=x1^post2, j3^0'=j3^post2, l5^0'=l5^post2, (i2^0-i2^post2 == 0 /\ -j3^post2+j3^0 == 0 /\ -x1^post2+x1^0 == 0 /\ k4^0-k4^post2 == 0 /\ -l5^post2+l5^0 == 0), cost: 1 15: l4 -> l3 : i2^0'=i2^post15, k4^0'=k4^post15, x1^0'=x1^post15, j3^0'=j3^post15, l5^0'=l5^post15, (-1-i2^0+i2^post15 == 0 /\ -l5^post15+l5^0 == 0 /\ -x1^post15+x1^0 == 0 /\ -j3^post15+j3^0 == 0 /\ 5-j3^0 <= 0 /\ k4^0-k4^post15 == 0), cost: 1 16: l4 -> l6 : i2^0'=i2^post16, k4^0'=k4^post16, x1^0'=x1^post16, j3^0'=j3^post16, l5^0'=l5^post16, (-l5^post16+l5^0 == 0 /\ k4^post16 == 0 /\ x1^0-x1^post16 == 0 /\ -j3^post16+j3^0 == 0 /\ i2^0-i2^post16 == 0 /\ -4+j3^0 <= 0), cost: 1 5: l6 -> l7 : i2^0'=i2^post5, k4^0'=k4^post5, x1^0'=x1^post5, j3^0'=j3^post5, l5^0'=l5^post5, (-l5^post5+l5^0 == 0 /\ x1^0-x1^post5 == 0 /\ i2^0-i2^post5 == 0 /\ -j3^post5+j3^0 == 0 /\ k4^0-k4^post5 == 0), cost: 1 13: l7 -> l2 : i2^0'=i2^post13, k4^0'=k4^post13, x1^0'=x1^post13, j3^0'=j3^post13, l5^0'=l5^post13, (-l5^post13+l5^0 == 0 /\ k4^0-k4^post13 == 0 /\ i2^0-i2^post13 == 0 /\ 5-k4^0 <= 0 /\ -1+j3^post13-j3^0 == 0 /\ x1^0-x1^post13 == 0), cost: 1 14: l7 -> l9 : i2^0'=i2^post14, k4^0'=k4^post14, x1^0'=x1^post14, j3^0'=j3^post14, l5^0'=l5^post14, (l5^post14 == 0 /\ i2^0-i2^post14 == 0 /\ j3^0-j3^post14 == 0 /\ -4+k4^0 <= 0 /\ -k4^post14+k4^0 == 0 /\ -x1^post14+x1^0 == 0), cost: 1 6: l8 -> l9 : i2^0'=i2^post6, k4^0'=k4^post6, x1^0'=x1^post6, j3^0'=j3^post6, l5^0'=l5^post6, (-x1^post6+x1^0 == 0 /\ i2^0-i2^post6 == 0 /\ -1-l5^0+l5^post6 == 0 /\ k4^0-k4^post6 == 0 /\ -j3^post6+j3^0 == 0), cost: 1 7: l9 -> l10 : i2^0'=i2^post7, k4^0'=k4^post7, x1^0'=x1^post7, j3^0'=j3^post7, l5^0'=l5^post7, (-j3^post7+j3^0 == 0 /\ k4^0-k4^post7 == 0 /\ i2^0-i2^post7 == 0 /\ x1^0-x1^post7 == 0 /\ -l5^post7+l5^0 == 0), cost: 1 11: l10 -> l6 : i2^0'=i2^post11, k4^0'=k4^post11, x1^0'=x1^post11, j3^0'=j3^post11, l5^0'=l5^post11, (5-l5^0 <= 0 /\ -1-k4^0+k4^post11 == 0 /\ x1^0-x1^post11 == 0 /\ -l5^post11+l5^0 == 0 /\ i2^0-i2^post11 == 0 /\ -j3^post11+j3^0 == 0), cost: 1 12: l10 -> l11 : i2^0'=i2^post12, k4^0'=k4^post12, x1^0'=x1^post12, j3^0'=j3^post12, l5^0'=l5^post12, (-x1^post12+x1^0 == 0 /\ -4+l5^0 <= 0 /\ l5^0-l5^post12 == 0 /\ i2^0-i2^post12 == 0 /\ j3^0-j3^post12 == 0 /\ -k4^post12+k4^0 == 0), cost: 1 8: l11 -> l8 : i2^0'=i2^post8, k4^0'=k4^post8, x1^0'=x1^post8, j3^0'=j3^post8, l5^0'=l5^post8, (-l5^post8+l5^0 == 0 /\ i2^0-i2^post8 == 0 /\ -j3^post8+j3^0 == 0 /\ k4^0-k4^post8 == 0 /\ -x1^post8+x1^0 == 0), cost: 1 9: l11 -> l1 : i2^0'=i2^post9, k4^0'=k4^post9, x1^0'=x1^post9, j3^0'=j3^post9, l5^0'=l5^post9, (-l5^post9+l5^0 == 0 /\ x1^0-x1^post9 == 0 /\ -j3^post9+j3^0 == 0 /\ i2^0-i2^post9 == 0 /\ k4^0-k4^post9 == 0), cost: 1 10: l11 -> l8 : i2^0'=i2^post10, k4^0'=k4^post10, x1^0'=x1^post10, j3^0'=j3^post10, l5^0'=l5^post10, (l5^0-l5^post10 == 0 /\ -x1^post10+x1^0 == 0 /\ -j3^post10+j3^0 == 0 /\ i2^0-i2^post10 == 0 /\ k4^0-k4^post10 == 0), cost: 1 17: l12 -> l3 : i2^0'=i2^post17, k4^0'=k4^post17, x1^0'=x1^post17, j3^0'=j3^post17, l5^0'=l5^post17, (l5^0-l5^post17 == 0 /\ -400+x1^post17 == 0 /\ i2^post17 == 0 /\ k4^0-k4^post17 == 0 /\ -j3^post17+j3^0 == 0), cost: 1 18: l13 -> l12 : i2^0'=i2^post18, k4^0'=k4^post18, x1^0'=x1^post18, j3^0'=j3^post18, l5^0'=l5^post18, (-j3^post18+j3^0 == 0 /\ k4^0-k4^post18 == 0 /\ i2^0-i2^post18 == 0 /\ x1^0-x1^post18 == 0 /\ -l5^post18+l5^0 == 0), cost: 1 Removed unreachable rules and leafs Start location: l13 1: l0 -> l2 : i2^0'=i2^post1, k4^0'=k4^post1, x1^0'=x1^post1, j3^0'=j3^post1, l5^0'=l5^post1, (-x1^post1+x1^0 == 0 /\ i2^0-i2^post1 == 0 /\ j3^post1 == 0 /\ -l5^post1+l5^0 == 0 /\ -4+i2^0 <= 0 /\ -k4^post1+k4^0 == 0), cost: 1 3: l2 -> l4 : i2^0'=i2^post3, k4^0'=k4^post3, x1^0'=x1^post3, j3^0'=j3^post3, l5^0'=l5^post3, (-l5^post3+l5^0 == 0 /\ x1^0-x1^post3 == 0 /\ j3^0-j3^post3 == 0 /\ k4^0-k4^post3 == 0 /\ i2^0-i2^post3 == 0), cost: 1 2: l3 -> l0 : i2^0'=i2^post2, k4^0'=k4^post2, x1^0'=x1^post2, j3^0'=j3^post2, l5^0'=l5^post2, (i2^0-i2^post2 == 0 /\ -j3^post2+j3^0 == 0 /\ -x1^post2+x1^0 == 0 /\ k4^0-k4^post2 == 0 /\ -l5^post2+l5^0 == 0), cost: 1 15: l4 -> l3 : i2^0'=i2^post15, k4^0'=k4^post15, x1^0'=x1^post15, j3^0'=j3^post15, l5^0'=l5^post15, (-1-i2^0+i2^post15 == 0 /\ -l5^post15+l5^0 == 0 /\ -x1^post15+x1^0 == 0 /\ -j3^post15+j3^0 == 0 /\ 5-j3^0 <= 0 /\ k4^0-k4^post15 == 0), cost: 1 16: l4 -> l6 : i2^0'=i2^post16, k4^0'=k4^post16, x1^0'=x1^post16, j3^0'=j3^post16, l5^0'=l5^post16, (-l5^post16+l5^0 == 0 /\ k4^post16 == 0 /\ x1^0-x1^post16 == 0 /\ -j3^post16+j3^0 == 0 /\ i2^0-i2^post16 == 0 /\ -4+j3^0 <= 0), cost: 1 5: l6 -> l7 : i2^0'=i2^post5, k4^0'=k4^post5, x1^0'=x1^post5, j3^0'=j3^post5, l5^0'=l5^post5, (-l5^post5+l5^0 == 0 /\ x1^0-x1^post5 == 0 /\ i2^0-i2^post5 == 0 /\ -j3^post5+j3^0 == 0 /\ k4^0-k4^post5 == 0), cost: 1 13: l7 -> l2 : i2^0'=i2^post13, k4^0'=k4^post13, x1^0'=x1^post13, j3^0'=j3^post13, l5^0'=l5^post13, (-l5^post13+l5^0 == 0 /\ k4^0-k4^post13 == 0 /\ i2^0-i2^post13 == 0 /\ 5-k4^0 <= 0 /\ -1+j3^post13-j3^0 == 0 /\ x1^0-x1^post13 == 0), cost: 1 14: l7 -> l9 : i2^0'=i2^post14, k4^0'=k4^post14, x1^0'=x1^post14, j3^0'=j3^post14, l5^0'=l5^post14, (l5^post14 == 0 /\ i2^0-i2^post14 == 0 /\ j3^0-j3^post14 == 0 /\ -4+k4^0 <= 0 /\ -k4^post14+k4^0 == 0 /\ -x1^post14+x1^0 == 0), cost: 1 6: l8 -> l9 : i2^0'=i2^post6, k4^0'=k4^post6, x1^0'=x1^post6, j3^0'=j3^post6, l5^0'=l5^post6, (-x1^post6+x1^0 == 0 /\ i2^0-i2^post6 == 0 /\ -1-l5^0+l5^post6 == 0 /\ k4^0-k4^post6 == 0 /\ -j3^post6+j3^0 == 0), cost: 1 7: l9 -> l10 : i2^0'=i2^post7, k4^0'=k4^post7, x1^0'=x1^post7, j3^0'=j3^post7, l5^0'=l5^post7, (-j3^post7+j3^0 == 0 /\ k4^0-k4^post7 == 0 /\ i2^0-i2^post7 == 0 /\ x1^0-x1^post7 == 0 /\ -l5^post7+l5^0 == 0), cost: 1 11: l10 -> l6 : i2^0'=i2^post11, k4^0'=k4^post11, x1^0'=x1^post11, j3^0'=j3^post11, l5^0'=l5^post11, (5-l5^0 <= 0 /\ -1-k4^0+k4^post11 == 0 /\ x1^0-x1^post11 == 0 /\ -l5^post11+l5^0 == 0 /\ i2^0-i2^post11 == 0 /\ -j3^post11+j3^0 == 0), cost: 1 12: l10 -> l11 : i2^0'=i2^post12, k4^0'=k4^post12, x1^0'=x1^post12, j3^0'=j3^post12, l5^0'=l5^post12, (-x1^post12+x1^0 == 0 /\ -4+l5^0 <= 0 /\ l5^0-l5^post12 == 0 /\ i2^0-i2^post12 == 0 /\ j3^0-j3^post12 == 0 /\ -k4^post12+k4^0 == 0), cost: 1 8: l11 -> l8 : i2^0'=i2^post8, k4^0'=k4^post8, x1^0'=x1^post8, j3^0'=j3^post8, l5^0'=l5^post8, (-l5^post8+l5^0 == 0 /\ i2^0-i2^post8 == 0 /\ -j3^post8+j3^0 == 0 /\ k4^0-k4^post8 == 0 /\ -x1^post8+x1^0 == 0), cost: 1 10: l11 -> l8 : i2^0'=i2^post10, k4^0'=k4^post10, x1^0'=x1^post10, j3^0'=j3^post10, l5^0'=l5^post10, (l5^0-l5^post10 == 0 /\ -x1^post10+x1^0 == 0 /\ -j3^post10+j3^0 == 0 /\ i2^0-i2^post10 == 0 /\ k4^0-k4^post10 == 0), cost: 1 17: l12 -> l3 : i2^0'=i2^post17, k4^0'=k4^post17, x1^0'=x1^post17, j3^0'=j3^post17, l5^0'=l5^post17, (l5^0-l5^post17 == 0 /\ -400+x1^post17 == 0 /\ i2^post17 == 0 /\ k4^0-k4^post17 == 0 /\ -j3^post17+j3^0 == 0), cost: 1 18: l13 -> l12 : i2^0'=i2^post18, k4^0'=k4^post18, x1^0'=x1^post18, j3^0'=j3^post18, l5^0'=l5^post18, (-j3^post18+j3^0 == 0 /\ k4^0-k4^post18 == 0 /\ i2^0-i2^post18 == 0 /\ x1^0-x1^post18 == 0 /\ -l5^post18+l5^0 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l2 : i2^0'=i2^post1, k4^0'=k4^post1, x1^0'=x1^post1, j3^0'=j3^post1, l5^0'=l5^post1, (-x1^post1+x1^0 == 0 /\ i2^0-i2^post1 == 0 /\ j3^post1 == 0 /\ -l5^post1+l5^0 == 0 /\ -4+i2^0 <= 0 /\ -k4^post1+k4^0 == 0), cost: 1 New rule: l0 -> l2 : j3^0'=0, -4+i2^0 <= 0, cost: 1 Applied preprocessing Original rule: l3 -> l0 : i2^0'=i2^post2, k4^0'=k4^post2, x1^0'=x1^post2, j3^0'=j3^post2, l5^0'=l5^post2, (i2^0-i2^post2 == 0 /\ -j3^post2+j3^0 == 0 /\ -x1^post2+x1^0 == 0 /\ k4^0-k4^post2 == 0 /\ -l5^post2+l5^0 == 0), cost: 1 New rule: l3 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l4 : i2^0'=i2^post3, k4^0'=k4^post3, x1^0'=x1^post3, j3^0'=j3^post3, l5^0'=l5^post3, (-l5^post3+l5^0 == 0 /\ x1^0-x1^post3 == 0 /\ j3^0-j3^post3 == 0 /\ k4^0-k4^post3 == 0 /\ i2^0-i2^post3 == 0), cost: 1 New rule: l2 -> l4 : TRUE, cost: 1 Applied preprocessing Original rule: l6 -> l7 : i2^0'=i2^post5, k4^0'=k4^post5, x1^0'=x1^post5, j3^0'=j3^post5, l5^0'=l5^post5, (-l5^post5+l5^0 == 0 /\ x1^0-x1^post5 == 0 /\ i2^0-i2^post5 == 0 /\ -j3^post5+j3^0 == 0 /\ k4^0-k4^post5 == 0), cost: 1 New rule: l6 -> l7 : TRUE, cost: 1 Applied preprocessing Original rule: l8 -> l9 : i2^0'=i2^post6, k4^0'=k4^post6, x1^0'=x1^post6, j3^0'=j3^post6, l5^0'=l5^post6, (-x1^post6+x1^0 == 0 /\ i2^0-i2^post6 == 0 /\ -1-l5^0+l5^post6 == 0 /\ k4^0-k4^post6 == 0 /\ -j3^post6+j3^0 == 0), cost: 1 New rule: l8 -> l9 : l5^0'=1+l5^0, TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l10 : i2^0'=i2^post7, k4^0'=k4^post7, x1^0'=x1^post7, j3^0'=j3^post7, l5^0'=l5^post7, (-j3^post7+j3^0 == 0 /\ k4^0-k4^post7 == 0 /\ i2^0-i2^post7 == 0 /\ x1^0-x1^post7 == 0 /\ -l5^post7+l5^0 == 0), cost: 1 New rule: l9 -> l10 : TRUE, cost: 1 Applied preprocessing Original rule: l11 -> l8 : i2^0'=i2^post8, k4^0'=k4^post8, x1^0'=x1^post8, j3^0'=j3^post8, l5^0'=l5^post8, (-l5^post8+l5^0 == 0 /\ i2^0-i2^post8 == 0 /\ -j3^post8+j3^0 == 0 /\ k4^0-k4^post8 == 0 /\ -x1^post8+x1^0 == 0), cost: 1 New rule: l11 -> l8 : TRUE, cost: 1 Applied preprocessing Original rule: l11 -> l8 : i2^0'=i2^post10, k4^0'=k4^post10, x1^0'=x1^post10, j3^0'=j3^post10, l5^0'=l5^post10, (l5^0-l5^post10 == 0 /\ -x1^post10+x1^0 == 0 /\ -j3^post10+j3^0 == 0 /\ i2^0-i2^post10 == 0 /\ k4^0-k4^post10 == 0), cost: 1 New rule: l11 -> l8 : TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l6 : i2^0'=i2^post11, k4^0'=k4^post11, x1^0'=x1^post11, j3^0'=j3^post11, l5^0'=l5^post11, (5-l5^0 <= 0 /\ -1-k4^0+k4^post11 == 0 /\ x1^0-x1^post11 == 0 /\ -l5^post11+l5^0 == 0 /\ i2^0-i2^post11 == 0 /\ -j3^post11+j3^0 == 0), cost: 1 New rule: l10 -> l6 : k4^0'=1+k4^0, -5+l5^0 >= 0, cost: 1 Applied preprocessing
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