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ITS pair #487096842
details
property
value
status
complete
benchmark
ex18.t2.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
From_T2
run statistics
property
value
solver
LoAT
configuration
loat_nonterm_proofout
runtime (wallclock)
0.129749 seconds
cpu usage
0.131538
user time
0.107053
system time
0.024485
max virtual memory
113188.0
max residence set size
19264.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(0),?)
output
WORST_CASE(Omega(0),?) Initial ITS Start location: l10 0: l0 -> l1 : __const_100^0'=__const_100^post0, tmp___0^0'=tmp___0^post0, j^0'=j^post0, tmp^0'=tmp^post0, i^0'=i^post0, k^0'=k^post0, (0 == 0 /\ -j^post0+j^0 == 0 /\ -__const_100^0+k^0 <= 0 /\ -k^post0+k^0 == 0 /\ __const_100^0-__const_100^post0 == 0 /\ i^post0 == 0 /\ -tmp^post0+tmp^0 == 0), cost: 1 1: l0 -> l2 : __const_100^0'=__const_100^post1, tmp___0^0'=tmp___0^post1, j^0'=j^post1, tmp^0'=tmp^post1, i^0'=i^post1, k^0'=k^post1, (i^0-i^post1 == 0 /\ __const_100^0-__const_100^post1 == 0 /\ 1+__const_100^0-k^0 <= 0 /\ -k^post1+k^0 == 0 /\ tmp^0-tmp^post1 == 0 /\ tmp___0^0-tmp___0^post1 == 0 /\ -j^post1+j^0 == 0), cost: 1 4: l1 -> l4 : __const_100^0'=__const_100^post4, tmp___0^0'=tmp___0^post4, j^0'=j^post4, tmp^0'=tmp^post4, i^0'=i^post4, k^0'=k^post4, (__const_100^0-__const_100^post4 == 0 /\ tmp___0^0-tmp___0^post4 == 0 /\ j^0-j^post4 == 0 /\ -tmp^post4+tmp^0 == 0 /\ -k^post4+k^0 == 0 /\ -i^post4+i^0 == 0), cost: 1 2: l3 -> l0 : __const_100^0'=__const_100^post2, tmp___0^0'=tmp___0^post2, j^0'=j^post2, tmp^0'=tmp^post2, i^0'=i^post2, k^0'=k^post2, (-tmp^post2+tmp^0 == 0 /\ __const_100^0-__const_100^post2 == 0 /\ k^0-k^post2 == 0 /\ tmp___0^0-tmp___0^post2 == 0 /\ i^0-i^post2 == 0 /\ j^0-j^post2 == 0 /\ 1-k^0 <= 0), cost: 1 3: l3 -> l2 : __const_100^0'=__const_100^post3, tmp___0^0'=tmp___0^post3, j^0'=j^post3, tmp^0'=tmp^post3, i^0'=i^post3, k^0'=k^post3, (-k^post3+k^0 == 0 /\ tmp___0^0-tmp___0^post3 == 0 /\ -tmp^post3+tmp^0 == 0 /\ j^0-j^post3 == 0 /\ -i^post3+i^0 == 0 /\ __const_100^0-__const_100^post3 == 0 /\ k^0 <= 0), cost: 1 11: l4 -> l7 : __const_100^0'=__const_100^post11, tmp___0^0'=tmp___0^post11, j^0'=j^post11, tmp^0'=tmp^post11, i^0'=i^post11, k^0'=k^post11, (tmp___0^0-tmp___0^post11 == 0 /\ __const_100^0-__const_100^post11 == 0 /\ i^0-k^0 <= 0 /\ j^0-j^post11 == 0 /\ -i^0+k^0 <= 0 /\ -k^post11+k^0 == 0 /\ tmp^0-tmp^post11 == 0 /\ -i^post11+i^0 == 0), cost: 1 12: l4 -> l8 : __const_100^0'=__const_100^post12, tmp___0^0'=tmp___0^post12, j^0'=j^post12, tmp^0'=tmp^post12, i^0'=i^post12, k^0'=k^post12, (-k^post12+k^0 == 0 /\ __const_100^0-__const_100^post12 == 0 /\ -i^post12+i^0 == 0 /\ 1-i^0+k^0 <= 0 /\ tmp^0-tmp^post12 == 0 /\ tmp___0^0-tmp___0^post12 == 0 /\ j^0-j^post12 == 0), cost: 1 13: l4 -> l8 : __const_100^0'=__const_100^post13, tmp___0^0'=tmp___0^post13, j^0'=j^post13, tmp^0'=tmp^post13, i^0'=i^post13, k^0'=k^post13, (1+i^0-k^0 <= 0 /\ -k^post13+k^0 == 0 /\ tmp^0-tmp^post13 == 0 /\ tmp___0^0-tmp___0^post13 == 0 /\ j^0-j^post13 == 0 /\ -i^post13+i^0 == 0 /\ __const_100^0-__const_100^post13 == 0), cost: 1 5: l5 -> l2 : __const_100^0'=__const_100^post5, tmp___0^0'=tmp___0^post5, j^0'=j^post5, tmp^0'=tmp^post5, i^0'=i^post5, k^0'=k^post5, (-k^post5+k^0 == 0 /\ __const_100^0-__const_100^post5 == 0 /\ -j^0+i^0 <= 0 /\ -i^post5+i^0 == 0 /\ tmp___0^0-tmp___0^post5 == 0 /\ tmp^0-tmp^post5 == 0 /\ j^0-j^post5 == 0), cost: 1 6: l5 -> l6 : __const_100^0'=__const_100^post6, tmp___0^0'=tmp___0^post6, j^0'=j^post6, tmp^0'=tmp^post6, i^0'=i^post6, k^0'=k^post6, (tmp___0^0-tmp___0^post6 == 0 /\ __const_100^0-__const_100^post6 == 0 /\ -1+j^post6-j^0 == 0 /\ i^0-i^post6 == 0 /\ 1+j^0-i^0 <= 0 /\ tmp^0-tmp^post6 == 0 /\ -k^post6+k^0 == 0), cost: 1 8: l6 -> l5 : __const_100^0'=__const_100^post8, tmp___0^0'=tmp___0^post8, j^0'=j^post8, tmp^0'=tmp^post8, i^0'=i^post8, k^0'=k^post8, (k^0-k^post8 == 0 /\ -tmp^post8+tmp^0 == 0 /\ tmp___0^0-tmp___0^post8 == 0 /\ j^0-j^post8 == 0 /\ -i^post8+i^0 == 0 /\ __const_100^0-__const_100^post8 == 0), cost: 1 7: l7 -> l6 : __const_100^0'=__const_100^post7, tmp___0^0'=tmp___0^post7, j^0'=j^post7, tmp^0'=tmp^post7, i^0'=i^post7, k^0'=k^post7, (-k^post7+k^0 == 0 /\ __const_100^0-__const_100^post7 == 0 /\ 1-i^0+i^post7 == 0 /\ -tmp^post7+tmp^0 == 0 /\ tmp___0^0-tmp___0^post7 == 0 /\ j^post7 == 0), cost: 1 9: l8 -> l1 : __const_100^0'=__const_100^post9, tmp___0^0'=tmp___0^post9, j^0'=j^post9, tmp^0'=tmp^post9, i^0'=i^post9, k^0'=k^post9, (tmp___0^0-tmp___0^post9 == 0 /\ -tmp^post9+tmp^0 == 0 /\ j^0-j^post9 == 0 /\ -1+i^post9-i^0 == 0 /\ __const_100^0-__const_100^post9 == 0 /\ -k^post9+k^0 == 0), cost: 1 10: l8 -> l7 : __const_100^0'=__const_100^post10, tmp___0^0'=tmp___0^post10, j^0'=j^post10, tmp^0'=tmp^post10, i^0'=i^post10, k^0'=k^post10, (j^0-j^post10 == 0 /\ __const_100^0-__const_100^post10 == 0 /\ -k^post10+k^0 == 0 /\ -i^post10+i^0 == 0 /\ tmp^0-tmp^post10 == 0 /\ tmp___0^0-tmp___0^post10 == 0), cost: 1 14: l9 -> l3 : __const_100^0'=__const_100^post14, tmp___0^0'=tmp___0^post14, j^0'=j^post14, tmp^0'=tmp^post14, i^0'=i^post14, k^0'=k^post14, (0 == 0 /\ tmp___0^0-tmp___0^post14 == 0 /\ k^post14-tmp^post14 == 0 /\ -j^post14+j^0 == 0 /\ i^0-i^post14 == 0 /\ __const_100^0-__const_100^post14 == 0), cost: 1 15: l10 -> l9 : __const_100^0'=__const_100^post15, tmp___0^0'=tmp___0^post15, j^0'=j^post15, tmp^0'=tmp^post15, i^0'=i^post15, k^0'=k^post15, (i^0-i^post15 == 0 /\ __const_100^0-__const_100^post15 == 0 /\ -k^post15+k^0 == 0 /\ -tmp^post15+tmp^0 == 0 /\ -j^post15+j^0 == 0 /\ tmp___0^0-tmp___0^post15 == 0), cost: 1 Removed unreachable rules and leafs Start location: l10 0: l0 -> l1 : __const_100^0'=__const_100^post0, tmp___0^0'=tmp___0^post0, j^0'=j^post0, tmp^0'=tmp^post0, i^0'=i^post0, k^0'=k^post0, (0 == 0 /\ -j^post0+j^0 == 0 /\ -__const_100^0+k^0 <= 0 /\ -k^post0+k^0 == 0 /\ __const_100^0-__const_100^post0 == 0 /\ i^post0 == 0 /\ -tmp^post0+tmp^0 == 0), cost: 1 4: l1 -> l4 : __const_100^0'=__const_100^post4, tmp___0^0'=tmp___0^post4, j^0'=j^post4, tmp^0'=tmp^post4, i^0'=i^post4, k^0'=k^post4, (__const_100^0-__const_100^post4 == 0 /\ tmp___0^0-tmp___0^post4 == 0 /\ j^0-j^post4 == 0 /\ -tmp^post4+tmp^0 == 0 /\ -k^post4+k^0 == 0 /\ -i^post4+i^0 == 0), cost: 1 2: l3 -> l0 : __const_100^0'=__const_100^post2, tmp___0^0'=tmp___0^post2, j^0'=j^post2, tmp^0'=tmp^post2, i^0'=i^post2, k^0'=k^post2, (-tmp^post2+tmp^0 == 0 /\ __const_100^0-__const_100^post2 == 0 /\ k^0-k^post2 == 0 /\ tmp___0^0-tmp___0^post2 == 0 /\ i^0-i^post2 == 0 /\ j^0-j^post2 == 0 /\ 1-k^0 <= 0), cost: 1 11: l4 -> l7 : __const_100^0'=__const_100^post11, tmp___0^0'=tmp___0^post11, j^0'=j^post11, tmp^0'=tmp^post11, i^0'=i^post11, k^0'=k^post11, (tmp___0^0-tmp___0^post11 == 0 /\ __const_100^0-__const_100^post11 == 0 /\ i^0-k^0 <= 0 /\ j^0-j^post11 == 0 /\ -i^0+k^0 <= 0 /\ -k^post11+k^0 == 0 /\ tmp^0-tmp^post11 == 0 /\ -i^post11+i^0 == 0), cost: 1 12: l4 -> l8 : __const_100^0'=__const_100^post12, tmp___0^0'=tmp___0^post12, j^0'=j^post12, tmp^0'=tmp^post12, i^0'=i^post12, k^0'=k^post12, (-k^post12+k^0 == 0 /\ __const_100^0-__const_100^post12 == 0 /\ -i^post12+i^0 == 0 /\ 1-i^0+k^0 <= 0 /\ tmp^0-tmp^post12 == 0 /\ tmp___0^0-tmp___0^post12 == 0 /\ j^0-j^post12 == 0), cost: 1 13: l4 -> l8 : __const_100^0'=__const_100^post13, tmp___0^0'=tmp___0^post13, j^0'=j^post13, tmp^0'=tmp^post13, i^0'=i^post13, k^0'=k^post13, (1+i^0-k^0 <= 0 /\ -k^post13+k^0 == 0 /\ tmp^0-tmp^post13 == 0 /\ tmp___0^0-tmp___0^post13 == 0 /\ j^0-j^post13 == 0 /\ -i^post13+i^0 == 0 /\ __const_100^0-__const_100^post13 == 0), cost: 1 6: l5 -> l6 : __const_100^0'=__const_100^post6, tmp___0^0'=tmp___0^post6, j^0'=j^post6, tmp^0'=tmp^post6, i^0'=i^post6, k^0'=k^post6, (tmp___0^0-tmp___0^post6 == 0 /\ __const_100^0-__const_100^post6 == 0 /\ -1+j^post6-j^0 == 0 /\ i^0-i^post6 == 0 /\ 1+j^0-i^0 <= 0 /\ tmp^0-tmp^post6 == 0 /\ -k^post6+k^0 == 0), cost: 1 8: l6 -> l5 : __const_100^0'=__const_100^post8, tmp___0^0'=tmp___0^post8, j^0'=j^post8, tmp^0'=tmp^post8, i^0'=i^post8, k^0'=k^post8, (k^0-k^post8 == 0 /\ -tmp^post8+tmp^0 == 0 /\ tmp___0^0-tmp___0^post8 == 0 /\ j^0-j^post8 == 0 /\ -i^post8+i^0 == 0 /\ __const_100^0-__const_100^post8 == 0), cost: 1 7: l7 -> l6 : __const_100^0'=__const_100^post7, tmp___0^0'=tmp___0^post7, j^0'=j^post7, tmp^0'=tmp^post7, i^0'=i^post7, k^0'=k^post7, (-k^post7+k^0 == 0 /\ __const_100^0-__const_100^post7 == 0 /\ 1-i^0+i^post7 == 0 /\ -tmp^post7+tmp^0 == 0 /\ tmp___0^0-tmp___0^post7 == 0 /\ j^post7 == 0), cost: 1 9: l8 -> l1 : __const_100^0'=__const_100^post9, tmp___0^0'=tmp___0^post9, j^0'=j^post9, tmp^0'=tmp^post9, i^0'=i^post9, k^0'=k^post9, (tmp___0^0-tmp___0^post9 == 0 /\ -tmp^post9+tmp^0 == 0 /\ j^0-j^post9 == 0 /\ -1+i^post9-i^0 == 0 /\ __const_100^0-__const_100^post9 == 0 /\ -k^post9+k^0 == 0), cost: 1 10: l8 -> l7 : __const_100^0'=__const_100^post10, tmp___0^0'=tmp___0^post10, j^0'=j^post10, tmp^0'=tmp^post10, i^0'=i^post10, k^0'=k^post10, (j^0-j^post10 == 0 /\ __const_100^0-__const_100^post10 == 0 /\ -k^post10+k^0 == 0 /\ -i^post10+i^0 == 0 /\ tmp^0-tmp^post10 == 0 /\ tmp___0^0-tmp___0^post10 == 0), cost: 1 14: l9 -> l3 : __const_100^0'=__const_100^post14, tmp___0^0'=tmp___0^post14, j^0'=j^post14, tmp^0'=tmp^post14, i^0'=i^post14, k^0'=k^post14, (0 == 0 /\ tmp___0^0-tmp___0^post14 == 0 /\ k^post14-tmp^post14 == 0 /\ -j^post14+j^0 == 0 /\ i^0-i^post14 == 0 /\ __const_100^0-__const_100^post14 == 0), cost: 1 15: l10 -> l9 : __const_100^0'=__const_100^post15, tmp___0^0'=tmp___0^post15, j^0'=j^post15, tmp^0'=tmp^post15, i^0'=i^post15, k^0'=k^post15, (i^0-i^post15 == 0 /\ __const_100^0-__const_100^post15 == 0 /\ -k^post15+k^0 == 0 /\ -tmp^post15+tmp^0 == 0 /\ -j^post15+j^0 == 0 /\ tmp___0^0-tmp___0^post15 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : __const_100^0'=__const_100^post0, tmp___0^0'=tmp___0^post0, j^0'=j^post0, tmp^0'=tmp^post0, i^0'=i^post0, k^0'=k^post0, (0 == 0 /\ -j^post0+j^0 == 0 /\ -__const_100^0+k^0 <= 0 /\ -k^post0+k^0 == 0 /\ __const_100^0-__const_100^post0 == 0 /\ i^post0 == 0 /\ -tmp^post0+tmp^0 == 0), cost: 1 New rule: l0 -> l1 : tmp___0^0'=tmp___0^post0, i^0'=0, -__const_100^0+k^0 <= 0, cost: 1 Applied preprocessing Original rule: l3 -> l0 : __const_100^0'=__const_100^post2, tmp___0^0'=tmp___0^post2, j^0'=j^post2, tmp^0'=tmp^post2, i^0'=i^post2, k^0'=k^post2, (-tmp^post2+tmp^0 == 0 /\ __const_100^0-__const_100^post2 == 0 /\ k^0-k^post2 == 0 /\ tmp___0^0-tmp___0^post2 == 0 /\ i^0-i^post2 == 0 /\ j^0-j^post2 == 0 /\ 1-k^0 <= 0), cost: 1 New rule: l3 -> l0 : -1+k^0 >= 0, cost: 1 Applied preprocessing Original rule: l1 -> l4 : __const_100^0'=__const_100^post4, tmp___0^0'=tmp___0^post4, j^0'=j^post4, tmp^0'=tmp^post4, i^0'=i^post4, k^0'=k^post4, (__const_100^0-__const_100^post4 == 0 /\ tmp___0^0-tmp___0^post4 == 0 /\ j^0-j^post4 == 0 /\ -tmp^post4+tmp^0 == 0 /\ -k^post4+k^0 == 0 /\ -i^post4+i^0 == 0), cost: 1 New rule: l1 -> l4 : TRUE, cost: 1 Applied preprocessing Original rule: l5 -> l6 : __const_100^0'=__const_100^post6, tmp___0^0'=tmp___0^post6, j^0'=j^post6, tmp^0'=tmp^post6, i^0'=i^post6, k^0'=k^post6, (tmp___0^0-tmp___0^post6 == 0 /\ __const_100^0-__const_100^post6 == 0 /\ -1+j^post6-j^0 == 0 /\ i^0-i^post6 == 0 /\ 1+j^0-i^0 <= 0 /\ tmp^0-tmp^post6 == 0 /\ -k^post6+k^0 == 0), cost: 1 New rule: l5 -> l6 : j^0'=1+j^0, 1+j^0-i^0 <= 0, cost: 1 Applied preprocessing Original rule: l7 -> l6 : __const_100^0'=__const_100^post7, tmp___0^0'=tmp___0^post7, j^0'=j^post7, tmp^0'=tmp^post7, i^0'=i^post7, k^0'=k^post7, (-k^post7+k^0 == 0 /\ __const_100^0-__const_100^post7 == 0 /\ 1-i^0+i^post7 == 0 /\ -tmp^post7+tmp^0 == 0 /\ tmp___0^0-tmp___0^post7 == 0 /\ j^post7 == 0), cost: 1 New rule: l7 -> l6 : j^0'=0, i^0'=-1+i^0, TRUE, cost: 1 Applied preprocessing Original rule: l6 -> l5 : __const_100^0'=__const_100^post8, tmp___0^0'=tmp___0^post8, j^0'=j^post8, tmp^0'=tmp^post8, i^0'=i^post8, k^0'=k^post8, (k^0-k^post8 == 0 /\ -tmp^post8+tmp^0 == 0 /\ tmp___0^0-tmp___0^post8 == 0 /\ j^0-j^post8 == 0 /\ -i^post8+i^0 == 0 /\ __const_100^0-__const_100^post8 == 0), cost: 1 New rule: l6 -> l5 : TRUE, cost: 1 Applied preprocessing Original rule: l8 -> l1 : __const_100^0'=__const_100^post9, tmp___0^0'=tmp___0^post9, j^0'=j^post9, tmp^0'=tmp^post9, i^0'=i^post9, k^0'=k^post9, (tmp___0^0-tmp___0^post9 == 0 /\ -tmp^post9+tmp^0 == 0 /\ j^0-j^post9 == 0 /\ -1+i^post9-i^0 == 0 /\ __const_100^0-__const_100^post9 == 0 /\ -k^post9+k^0 == 0), cost: 1 New rule: l8 -> l1 : i^0'=1+i^0, TRUE, cost: 1 Applied preprocessing Original rule: l8 -> l7 : __const_100^0'=__const_100^post10, tmp___0^0'=tmp___0^post10, j^0'=j^post10, tmp^0'=tmp^post10, i^0'=i^post10, k^0'=k^post10, (j^0-j^post10 == 0 /\ __const_100^0-__const_100^post10 == 0 /\ -k^post10+k^0 == 0 /\ -i^post10+i^0 == 0 /\ tmp^0-tmp^post10 == 0 /\ tmp___0^0-tmp___0^post10 == 0), cost: 1 New rule: l8 -> l7 : TRUE, cost: 1 Applied preprocessing Original rule: l4 -> l7 : __const_100^0'=__const_100^post11, tmp___0^0'=tmp___0^post11, j^0'=j^post11, tmp^0'=tmp^post11, i^0'=i^post11, k^0'=k^post11, (tmp___0^0-tmp___0^post11 == 0 /\ __const_100^0-__const_100^post11 == 0 /\ i^0-k^0 <= 0 /\ j^0-j^post11 == 0 /\ -i^0+k^0 <= 0 /\ -k^post11+k^0 == 0 /\ tmp^0-tmp^post11 == 0 /\ -i^post11+i^0 == 0), cost: 1 New rule: l4 -> l7 : i^0-k^0 == 0, cost: 1 Applied preprocessing Original rule: l4 -> l8 : __const_100^0'=__const_100^post12, tmp___0^0'=tmp___0^post12, j^0'=j^post12, tmp^0'=tmp^post12, i^0'=i^post12, k^0'=k^post12, (-k^post12+k^0 == 0 /\ __const_100^0-__const_100^post12 == 0 /\ -i^post12+i^0 == 0 /\ 1-i^0+k^0 <= 0 /\ tmp^0-tmp^post12 == 0 /\ tmp___0^0-tmp___0^post12 == 0 /\ j^0-j^post12 == 0), cost: 1 New rule: l4 -> l8 : 1-i^0+k^0 <= 0, cost: 1 Applied preprocessing
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