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ITS pair #487098219
details
property
value
status
complete
benchmark
collatz.t2.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
From_T2
run statistics
property
value
solver
LoAT
configuration
loat_nonterm_proofout
runtime (wallclock)
0.791834 seconds
cpu usage
0.79518
user time
0.766996
system time
0.028184
max virtual memory
294984.0
max residence set size
26296.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(0),?)
output
WORST_CASE(Omega(0),?) Initial ITS Start location: l6 0: l0 -> l1 : __disjvr_0^0'=__disjvr_0^post0, __disjvr_2^0'=__disjvr_2^post0, y^0'=y^post0, __disjvr_1^0'=__disjvr_1^post0, x^0'=x^post0, (1+2*y^0-x^0 <= 0 /\ y^0-y^post0 == 0 /\ __disjvr_0^0-__disjvr_0^post0 == 0 /\ -1-2*y^0+x^0 <= 0 /\ -__disjvr_1^post0+__disjvr_1^0 == 0 /\ __disjvr_2^0-__disjvr_2^post0 == 0 /\ -1+x^post0-3*x^0 == 0), cost: 1 1: l0 -> l1 : __disjvr_0^0'=__disjvr_0^post1, __disjvr_2^0'=__disjvr_2^post1, y^0'=y^post1, __disjvr_1^0'=__disjvr_1^post1, x^0'=x^post1, (-2*y^0+x^0 <= 0 /\ -y^post1+y^0 == 0 /\ 2*y^0-x^0 <= 0 /\ __disjvr_0^0-__disjvr_0^post1 == 0 /\ __disjvr_1^0-__disjvr_1^post1 == 0 /\ x^post1-y^0 == 0 /\ -__disjvr_2^post1+__disjvr_2^0 == 0), cost: 1 2: l1 -> l2 : __disjvr_0^0'=__disjvr_0^post2, __disjvr_2^0'=__disjvr_2^post2, y^0'=y^post2, __disjvr_1^0'=__disjvr_1^post2, x^0'=x^post2, (__disjvr_0^0-__disjvr_0^post2 == 0 /\ -__disjvr_1^post2+__disjvr_1^0 == 0 /\ -y^post2+y^0 == 0 /\ -__disjvr_0^0+__disjvr_0^post2 == 0 /\ __disjvr_2^0-__disjvr_2^post2 == 0 /\ -x^post2+x^0 == 0), cost: 1 3: l2 -> l3 : __disjvr_0^0'=__disjvr_0^post3, __disjvr_2^0'=__disjvr_2^post3, y^0'=y^post3, __disjvr_1^0'=__disjvr_1^post3, x^0'=x^post3, (-x^post3+x^0 == 0 /\ -__disjvr_1^0+__disjvr_1^post3 == 0 /\ y^0-y^post3 == 0 /\ __disjvr_1^0-__disjvr_1^post3 == 0 /\ __disjvr_2^0-__disjvr_2^post3 == 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0), cost: 1 4: l3 -> l4 : __disjvr_0^0'=__disjvr_0^post4, __disjvr_2^0'=__disjvr_2^post4, y^0'=y^post4, __disjvr_1^0'=__disjvr_1^post4, x^0'=x^post4, (-x^post4+x^0 == 0 /\ -y^post4+y^0 == 0 /\ -__disjvr_2^0+__disjvr_2^post4 == 0 /\ -__disjvr_1^post4+__disjvr_1^0 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ __disjvr_2^0-__disjvr_2^post4 == 0), cost: 1 5: l4 -> l0 : __disjvr_0^0'=__disjvr_0^post5, __disjvr_2^0'=__disjvr_2^post5, y^0'=y^post5, __disjvr_1^0'=__disjvr_1^post5, x^0'=x^post5, (0 == 0 /\ -x^post5+x^0 == 0 /\ __disjvr_0^0-__disjvr_0^post5 == 0 /\ -__disjvr_1^post5+__disjvr_1^0 == 0 /\ __disjvr_2^0-__disjvr_2^post5 == 0), cost: 1 6: l5 -> l1 : __disjvr_0^0'=__disjvr_0^post6, __disjvr_2^0'=__disjvr_2^post6, y^0'=y^post6, __disjvr_1^0'=__disjvr_1^post6, x^0'=x^post6, (0 == 0 /\ -y^post6+y^0 == 0 /\ 1-x^post6 <= 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0 /\ __disjvr_2^0-__disjvr_2^post6 == 0 /\ -__disjvr_1^post6+__disjvr_1^0 == 0), cost: 1 7: l6 -> l5 : __disjvr_0^0'=__disjvr_0^post7, __disjvr_2^0'=__disjvr_2^post7, y^0'=y^post7, __disjvr_1^0'=__disjvr_1^post7, x^0'=x^post7, (-__disjvr_1^post7+__disjvr_1^0 == 0 /\ __disjvr_2^0-__disjvr_2^post7 == 0 /\ __disjvr_0^0-__disjvr_0^post7 == 0 /\ y^0-y^post7 == 0 /\ -x^post7+x^0 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : __disjvr_0^0'=__disjvr_0^post0, __disjvr_2^0'=__disjvr_2^post0, y^0'=y^post0, __disjvr_1^0'=__disjvr_1^post0, x^0'=x^post0, (1+2*y^0-x^0 <= 0 /\ y^0-y^post0 == 0 /\ __disjvr_0^0-__disjvr_0^post0 == 0 /\ -1-2*y^0+x^0 <= 0 /\ -__disjvr_1^post0+__disjvr_1^0 == 0 /\ __disjvr_2^0-__disjvr_2^post0 == 0 /\ -1+x^post0-3*x^0 == 0), cost: 1 New rule: l0 -> l1 : x^0'=1+3*x^0, 1+2*y^0-x^0 == 0, cost: 1 Applied preprocessing Original rule: l0 -> l1 : __disjvr_0^0'=__disjvr_0^post1, __disjvr_2^0'=__disjvr_2^post1, y^0'=y^post1, __disjvr_1^0'=__disjvr_1^post1, x^0'=x^post1, (-2*y^0+x^0 <= 0 /\ -y^post1+y^0 == 0 /\ 2*y^0-x^0 <= 0 /\ __disjvr_0^0-__disjvr_0^post1 == 0 /\ __disjvr_1^0-__disjvr_1^post1 == 0 /\ x^post1-y^0 == 0 /\ -__disjvr_2^post1+__disjvr_2^0 == 0), cost: 1 New rule: l0 -> l1 : x^0'=y^0, -2*y^0+x^0 == 0, cost: 1 Applied preprocessing Original rule: l1 -> l2 : __disjvr_0^0'=__disjvr_0^post2, __disjvr_2^0'=__disjvr_2^post2, y^0'=y^post2, __disjvr_1^0'=__disjvr_1^post2, x^0'=x^post2, (__disjvr_0^0-__disjvr_0^post2 == 0 /\ -__disjvr_1^post2+__disjvr_1^0 == 0 /\ -y^post2+y^0 == 0 /\ -__disjvr_0^0+__disjvr_0^post2 == 0 /\ __disjvr_2^0-__disjvr_2^post2 == 0 /\ -x^post2+x^0 == 0), cost: 1 New rule: l1 -> l2 : 0 == 0, cost: 1 Applied preprocessing Original rule: l2 -> l3 : __disjvr_0^0'=__disjvr_0^post3, __disjvr_2^0'=__disjvr_2^post3, y^0'=y^post3, __disjvr_1^0'=__disjvr_1^post3, x^0'=x^post3, (-x^post3+x^0 == 0 /\ -__disjvr_1^0+__disjvr_1^post3 == 0 /\ y^0-y^post3 == 0 /\ __disjvr_1^0-__disjvr_1^post3 == 0 /\ __disjvr_2^0-__disjvr_2^post3 == 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0), cost: 1 New rule: l2 -> l3 : 0 == 0, cost: 1 Applied preprocessing Original rule: l3 -> l4 : __disjvr_0^0'=__disjvr_0^post4, __disjvr_2^0'=__disjvr_2^post4, y^0'=y^post4, __disjvr_1^0'=__disjvr_1^post4, x^0'=x^post4, (-x^post4+x^0 == 0 /\ -y^post4+y^0 == 0 /\ -__disjvr_2^0+__disjvr_2^post4 == 0 /\ -__disjvr_1^post4+__disjvr_1^0 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0 /\ __disjvr_2^0-__disjvr_2^post4 == 0), cost: 1 New rule: l3 -> l4 : 0 == 0, cost: 1 Applied preprocessing Original rule: l4 -> l0 : __disjvr_0^0'=__disjvr_0^post5, __disjvr_2^0'=__disjvr_2^post5, y^0'=y^post5, __disjvr_1^0'=__disjvr_1^post5, x^0'=x^post5, (0 == 0 /\ -x^post5+x^0 == 0 /\ __disjvr_0^0-__disjvr_0^post5 == 0 /\ -__disjvr_1^post5+__disjvr_1^0 == 0 /\ __disjvr_2^0-__disjvr_2^post5 == 0), cost: 1 New rule: l4 -> l0 : y^0'=y^post5, 0 == 0, cost: 1 Applied preprocessing Original rule: l5 -> l1 : __disjvr_0^0'=__disjvr_0^post6, __disjvr_2^0'=__disjvr_2^post6, y^0'=y^post6, __disjvr_1^0'=__disjvr_1^post6, x^0'=x^post6, (0 == 0 /\ -y^post6+y^0 == 0 /\ 1-x^post6 <= 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0 /\ __disjvr_2^0-__disjvr_2^post6 == 0 /\ -__disjvr_1^post6+__disjvr_1^0 == 0), cost: 1 New rule: l5 -> l1 : x^0'=x^post6, -1+x^post6 >= 0, cost: 1 Applied preprocessing Original rule: l6 -> l5 : __disjvr_0^0'=__disjvr_0^post7, __disjvr_2^0'=__disjvr_2^post7, y^0'=y^post7, __disjvr_1^0'=__disjvr_1^post7, x^0'=x^post7, (-__disjvr_1^post7+__disjvr_1^0 == 0 /\ __disjvr_2^0-__disjvr_2^post7 == 0 /\ __disjvr_0^0-__disjvr_0^post7 == 0 /\ y^0-y^post7 == 0 /\ -x^post7+x^0 == 0), cost: 1 New rule: l6 -> l5 : TRUE, cost: 1 Simplified rules Start location: l6 8: l0 -> l1 : x^0'=1+3*x^0, 1+2*y^0-x^0 == 0, cost: 1 9: l0 -> l1 : x^0'=y^0, -2*y^0+x^0 == 0, cost: 1 10: l1 -> l2 : 0 == 0, cost: 1 11: l2 -> l3 : 0 == 0, cost: 1 12: l3 -> l4 : 0 == 0, cost: 1 13: l4 -> l0 : y^0'=y^post5, 0 == 0, cost: 1 14: l5 -> l1 : x^0'=x^post6, -1+x^post6 >= 0, cost: 1 15: l6 -> l5 : TRUE, cost: 1 Eliminating location l5 by chaining: Applied chaining First rule: l6 -> l5 : TRUE, cost: 1 Second rule: l5 -> l1 : x^0'=x^post6, -1+x^post6 >= 0, cost: 1 New rule: l6 -> l1 : x^0'=x^post6, -1+x^post6 >= 0, cost: 2 Applied deletion Removed the following rules: 14 15 Eliminating location l2 by chaining: Applied chaining First rule: l1 -> l2 : 0 == 0, cost: 1 Second rule: l2 -> l3 : 0 == 0, cost: 1 New rule: l1 -> l3 : 0 == 0, cost: 2 Applied deletion Removed the following rules: 10 11
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