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TRS Standard pair #487069122
details
property
value
status
complete
benchmark
jones5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n179.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.352511 seconds
cpu usage
0.416983
user time
0.340884
system time
0.076099
max virtual memory
96176.0
max residence set size
57052.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(x,empty()) -> x f(empty(),cons(a,k)) -> f(cons(a,k),k) f(cons(a,k),y) -> f(y,k) Proof: Matrix Interpretation Processor: dim=1 interpretation: [f](x0, x1) = x0 + 5x1 + 2, [empty] = 3, [cons](x0, x1) = x0 + 6x1 + 4 orientation: f(x,empty()) = x + 17 >= x = x f(empty(),cons(a,k)) = 5a + 30k + 25 >= a + 11k + 6 = f(cons(a,k),k) f(cons(a,k),y) = a + 6k + 5y + 6 >= 5k + y + 2 = f(y,k) problem: Qed
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