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ITS pair #487097382
details
property
value
status
complete
benchmark
weakness.t2.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
From_T2
run statistics
property
value
solver
LoAT
configuration
loat_nonterm_proofout
runtime (wallclock)
0.416172 seconds
cpu usage
0.417158
user time
0.394687
system time
0.022471
max virtual memory
113188.0
max residence set size
28452.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(0),?)
output
WORST_CASE(Omega(0),?) Initial ITS Start location: l3 0: l0 -> l1 : i^0'=i^post0, y^0'=y^post0, x^0'=x^post0, z^0'=z^post0, (z^post0-x^0+x^post0 == 0 /\ -1-i^0+i^post0 == 0 /\ 1-x^0 <= 0 /\ -i^0-y^0+z^post0 == 0 /\ y^0-y^post0 == 0), cost: 1 1: l1 -> l0 : i^0'=i^post1, y^0'=y^post1, x^0'=x^post1, z^0'=z^post1, (-x^post1+x^0 == 0 /\ i^0-i^post1 == 0 /\ -y^post1+y^0 == 0 /\ -z^post1+z^0 == 0), cost: 1 2: l2 -> l0 : i^0'=i^post2, y^0'=y^post2, x^0'=x^post2, z^0'=z^post2, (0 == 0 /\ i^post2 == 0 /\ -x^post2+x^0 == 0 /\ -z^post2+z^0 == 0), cost: 1 3: l3 -> l2 : i^0'=i^post3, y^0'=y^post3, x^0'=x^post3, z^0'=z^post3, (i^0-i^post3 == 0 /\ y^0-y^post3 == 0 /\ x^0-x^post3 == 0 /\ -z^post3+z^0 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : i^0'=i^post0, y^0'=y^post0, x^0'=x^post0, z^0'=z^post0, (z^post0-x^0+x^post0 == 0 /\ -1-i^0+i^post0 == 0 /\ 1-x^0 <= 0 /\ -i^0-y^0+z^post0 == 0 /\ y^0-y^post0 == 0), cost: 1 New rule: l0 -> l1 : i^0'=1+i^0, x^0'=-i^0-y^0+x^0, z^0'=i^0+y^0, -1+x^0 >= 0, cost: 1 Applied preprocessing Original rule: l1 -> l0 : i^0'=i^post1, y^0'=y^post1, x^0'=x^post1, z^0'=z^post1, (-x^post1+x^0 == 0 /\ i^0-i^post1 == 0 /\ -y^post1+y^0 == 0 /\ -z^post1+z^0 == 0), cost: 1 New rule: l1 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l0 : i^0'=i^post2, y^0'=y^post2, x^0'=x^post2, z^0'=z^post2, (0 == 0 /\ i^post2 == 0 /\ -x^post2+x^0 == 0 /\ -z^post2+z^0 == 0), cost: 1 New rule: l2 -> l0 : i^0'=0, y^0'=y^post2, 0 == 0, cost: 1 Applied preprocessing Original rule: l3 -> l2 : i^0'=i^post3, y^0'=y^post3, x^0'=x^post3, z^0'=z^post3, (i^0-i^post3 == 0 /\ y^0-y^post3 == 0 /\ x^0-x^post3 == 0 /\ -z^post3+z^0 == 0), cost: 1 New rule: l3 -> l2 : TRUE, cost: 1 Simplified rules Start location: l3 4: l0 -> l1 : i^0'=1+i^0, x^0'=-i^0-y^0+x^0, z^0'=i^0+y^0, -1+x^0 >= 0, cost: 1 5: l1 -> l0 : TRUE, cost: 1 6: l2 -> l0 : i^0'=0, y^0'=y^post2, 0 == 0, cost: 1 7: l3 -> l2 : TRUE, cost: 1 Eliminating location l2 by chaining: Applied chaining First rule: l3 -> l2 : TRUE, cost: 1 Second rule: l2 -> l0 : i^0'=0, y^0'=y^post2, 0 == 0, cost: 1 New rule: l3 -> l0 : i^0'=0, y^0'=y^post2, 0 == 0, cost: 2 Applied deletion Removed the following rules: 6 7 Eliminating location l1 by chaining: Applied chaining First rule: l0 -> l1 : i^0'=1+i^0, x^0'=-i^0-y^0+x^0, z^0'=i^0+y^0, -1+x^0 >= 0, cost: 1 Second rule: l1 -> l0 : TRUE, cost: 1 New rule: l0 -> l0 : i^0'=1+i^0, x^0'=-i^0-y^0+x^0, z^0'=i^0+y^0, -1+x^0 >= 0, cost: 2 Applied deletion Removed the following rules: 4 5 Eliminated locations on linear paths Start location: l3 9: l0 -> l0 : i^0'=1+i^0, x^0'=-i^0-y^0+x^0, z^0'=i^0+y^0, -1+x^0 >= 0, cost: 2 8: l3 -> l0 : i^0'=0, y^0'=y^post2, 0 == 0, cost: 2 Applied acceleration Original rule: l0 -> l0 : i^0'=1+i^0, x^0'=-i^0-y^0+x^0, z^0'=i^0+y^0, -1+x^0 >= 0, cost: 2 New rule: l0 -> l0 : i^0'=i^0+n0, x^0'=-i^0*n0+1/2*n0-n0*y^0-1/2*n0^2+x^0, z^0'=-1+i^0+n0+y^0, (-1+n0 >= 0 /\ -1+x^0 >= 0 /\ -3/2+1/2*n0-1/2*(-1+n0)^2-y^0*(-1+n0)+x^0-i^0*(-1+n0) >= 0), cost: 2*n0 Applied deletion Removed the following rules: 9 Accelerated simple loops Start location: l3 10: l0 -> l0 : i^0'=i^0+n0, x^0'=-i^0*n0+1/2*n0-n0*y^0-1/2*n0^2+x^0, z^0'=-1+i^0+n0+y^0, (-1+n0 >= 0 /\ -1+x^0 >= 0 /\ -3/2+1/2*n0-1/2*(-1+n0)^2-y^0*(-1+n0)+x^0-i^0*(-1+n0) >= 0), cost: 2*n0 8: l3 -> l0 : i^0'=0, y^0'=y^post2, 0 == 0, cost: 2 Applied chaining First rule: l3 -> l0 : i^0'=0, y^0'=y^post2, 0 == 0, cost: 2 Second rule: l0 -> l0 : i^0'=i^0+n0, x^0'=-i^0*n0+1/2*n0-n0*y^0-1/2*n0^2+x^0, z^0'=-1+i^0+n0+y^0, (-1+n0 >= 0 /\ -1+x^0 >= 0 /\ -3/2+1/2*n0-1/2*(-1+n0)^2-y^0*(-1+n0)+x^0-i^0*(-1+n0) >= 0), cost: 2*n0 New rule: l3 -> l0 : i^0'=n0, y^0'=y^post2, x^0'=1/2*n0-n0*y^post2-1/2*n0^2+x^0, z^0'=-1+n0+y^post2, (-1+n0 >= 0 /\ -1+x^0 >= 0 /\ -3/2+1/2*n0-1/2*(-1+n0)^2+x^0-y^post2*(-1+n0) >= 0), cost: 2+2*n0 Applied deletion Removed the following rules: 10
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