Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
ITS pair #487098117
details
property
value
status
complete
benchmark
collatz.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)
1.59133 seconds
cpu usage
1.59615
user time
1.55613
system time
0.04002
max virtual memory
280352.0
max residence set size
27680.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(0),?)
output
WORST_CASE(Omega(0),?) Initial ITS Start location: l6 0: l0 -> l1 : x^0'=x^post0, y^0'=y^post0, (y^0-y^post0 == 0 /\ -1-3*x^0+x^post0 == 0 /\ 1-x^0+2*y^0 <= 0 /\ -1+x^0-2*y^0 <= 0), cost: 1 1: l0 -> l1 : x^0'=x^post1, y^0'=y^post1, (-y^post1+y^0 == 0 /\ x^0-2*y^0 <= 0 /\ x^post1-y^0 == 0 /\ -x^0+2*y^0 <= 0), cost: 1 2: l1 -> l2 : x^0'=x^post2, y^0'=y^post2, (x^0 <= 0 /\ -y^post2+y^0 == 0 /\ x^0-x^post2 == 0), cost: 1 3: l1 -> l2 : x^0'=x^post3, y^0'=y^post3, (2-x^0 <= 0 /\ x^0-x^post3 == 0 /\ y^0-y^post3 == 0), cost: 1 4: l2 -> l3 : x^0'=x^post4, y^0'=y^post4, (x^0-x^post4 == 0 /\ -1+x^0 <= 0 /\ -y^post4+y^0 == 0), cost: 1 5: l2 -> l3 : x^0'=x^post5, y^0'=y^post5, (3-x^0 <= 0 /\ y^0-y^post5 == 0 /\ x^0-x^post5 == 0), cost: 1 6: l3 -> l4 : x^0'=x^post6, y^0'=y^post6, (-y^post6+y^0 == 0 /\ -3+x^0 <= 0 /\ x^0-x^post6 == 0), cost: 1 7: l3 -> l4 : x^0'=x^post7, y^0'=y^post7, (x^0-x^post7 == 0 /\ -y^post7+y^0 == 0 /\ 5-x^0 <= 0), cost: 1 8: l4 -> l0 : x^0'=x^post8, y^0'=y^post8, (0 == 0 /\ x^0-x^post8 == 0), cost: 1 9: l5 -> l1 : x^0'=x^post9, y^0'=y^post9, (0 == 0 /\ 1-x^post9 <= 0 /\ -y^post9+y^0 == 0), cost: 1 10: l6 -> l5 : x^0'=x^post10, y^0'=y^post10, (-y^post10+y^0 == 0 /\ x^0-x^post10 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : x^0'=x^post0, y^0'=y^post0, (y^0-y^post0 == 0 /\ -1-3*x^0+x^post0 == 0 /\ 1-x^0+2*y^0 <= 0 /\ -1+x^0-2*y^0 <= 0), cost: 1 New rule: l0 -> l1 : x^0'=1+3*x^0, 1-x^0+2*y^0 == 0, cost: 1 Applied preprocessing Original rule: l0 -> l1 : x^0'=x^post1, y^0'=y^post1, (-y^post1+y^0 == 0 /\ x^0-2*y^0 <= 0 /\ x^post1-y^0 == 0 /\ -x^0+2*y^0 <= 0), cost: 1 New rule: l0 -> l1 : x^0'=y^0, x^0-2*y^0 == 0, cost: 1 Applied preprocessing Original rule: l1 -> l2 : x^0'=x^post2, y^0'=y^post2, (x^0 <= 0 /\ -y^post2+y^0 == 0 /\ x^0-x^post2 == 0), cost: 1 New rule: l1 -> l2 : x^0 <= 0, cost: 1 Applied preprocessing Original rule: l1 -> l2 : x^0'=x^post3, y^0'=y^post3, (2-x^0 <= 0 /\ x^0-x^post3 == 0 /\ y^0-y^post3 == 0), cost: 1 New rule: l1 -> l2 : -2+x^0 >= 0, cost: 1 Applied preprocessing Original rule: l2 -> l3 : x^0'=x^post4, y^0'=y^post4, (x^0-x^post4 == 0 /\ -1+x^0 <= 0 /\ -y^post4+y^0 == 0), cost: 1 New rule: l2 -> l3 : -1+x^0 <= 0, cost: 1 Applied preprocessing Original rule: l2 -> l3 : x^0'=x^post5, y^0'=y^post5, (3-x^0 <= 0 /\ y^0-y^post5 == 0 /\ x^0-x^post5 == 0), cost: 1 New rule: l2 -> l3 : -3+x^0 >= 0, cost: 1 Applied preprocessing Original rule: l3 -> l4 : x^0'=x^post6, y^0'=y^post6, (-y^post6+y^0 == 0 /\ -3+x^0 <= 0 /\ x^0-x^post6 == 0), cost: 1 New rule: l3 -> l4 : -3+x^0 <= 0, cost: 1 Applied preprocessing Original rule: l3 -> l4 : x^0'=x^post7, y^0'=y^post7, (x^0-x^post7 == 0 /\ -y^post7+y^0 == 0 /\ 5-x^0 <= 0), cost: 1 New rule: l3 -> l4 : -5+x^0 >= 0, cost: 1 Applied preprocessing Original rule: l4 -> l0 : x^0'=x^post8, y^0'=y^post8, (0 == 0 /\ x^0-x^post8 == 0), cost: 1 New rule: l4 -> l0 : y^0'=y^post8, 0 == 0, cost: 1 Applied preprocessing Original rule: l5 -> l1 : x^0'=x^post9, y^0'=y^post9, (0 == 0 /\ 1-x^post9 <= 0 /\ -y^post9+y^0 == 0), cost: 1 New rule: l5 -> l1 : x^0'=x^post9, -1+x^post9 >= 0, cost: 1 Applied preprocessing Original rule: l6 -> l5 : x^0'=x^post10, y^0'=y^post10, (-y^post10+y^0 == 0 /\ x^0-x^post10 == 0), cost: 1 New rule: l6 -> l5 : TRUE, cost: 1 Simplified rules Start location: l6 11: l0 -> l1 : x^0'=1+3*x^0, 1-x^0+2*y^0 == 0, cost: 1 12: l0 -> l1 : x^0'=y^0, x^0-2*y^0 == 0, cost: 1 13: l1 -> l2 : x^0 <= 0, cost: 1 14: l1 -> l2 : -2+x^0 >= 0, cost: 1 15: l2 -> l3 : -1+x^0 <= 0, cost: 1 16: l2 -> l3 : -3+x^0 >= 0, cost: 1 17: l3 -> l4 : -3+x^0 <= 0, cost: 1 18: l3 -> l4 : -5+x^0 >= 0, cost: 1 19: l4 -> l0 : y^0'=y^post8, 0 == 0, cost: 1 20: l5 -> l1 : x^0'=x^post9, -1+x^post9 >= 0, cost: 1 21: l6 -> l5 : TRUE, cost: 1 Eliminating location l5 by chaining:
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to ITS