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SRS Standard pair #487091012
details
property
value
status
complete
benchmark
secr8.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
Secret_06_SRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
12.6453 seconds
cpu usage
46.3095
user time
45.0419
system time
1.26756
max virtual memory
5921680.0
max residence set size
108844.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: b(b(b(x1))) -> a(x1) a(a(x1)) -> a(b(a(x1))) b(c(x1)) -> c(a(a(x1))) a(c(x1)) -> c(b(b(x1))) a(a(a(x1))) -> b(a(a(x1))) Proof: DP Processor: DPs: b#(b(b(x1))) -> a#(x1) a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(b(a(x1))) b#(c(x1)) -> a#(x1) b#(c(x1)) -> a#(a(x1)) a#(c(x1)) -> b#(x1) a#(c(x1)) -> b#(b(x1)) a#(a(a(x1))) -> b#(a(a(x1))) TRS: b(b(b(x1))) -> a(x1) a(a(x1)) -> a(b(a(x1))) b(c(x1)) -> c(a(a(x1))) a(c(x1)) -> c(b(b(x1))) a(a(a(x1))) -> b(a(a(x1))) TDG Processor: DPs: b#(b(b(x1))) -> a#(x1) a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(b(a(x1))) b#(c(x1)) -> a#(x1) b#(c(x1)) -> a#(a(x1)) a#(c(x1)) -> b#(x1) a#(c(x1)) -> b#(b(x1)) a#(a(a(x1))) -> b#(a(a(x1))) TRS: b(b(b(x1))) -> a(x1) a(a(x1)) -> a(b(a(x1))) b(c(x1)) -> c(a(a(x1))) a(c(x1)) -> c(b(b(x1))) a(a(a(x1))) -> b(a(a(x1))) graph: a#(c(x1)) -> b#(b(x1)) -> b#(c(x1)) -> a#(a(x1)) a#(c(x1)) -> b#(b(x1)) -> b#(c(x1)) -> a#(x1) a#(c(x1)) -> b#(b(x1)) -> b#(b(b(x1))) -> a#(x1) a#(c(x1)) -> b#(x1) -> b#(c(x1)) -> a#(a(x1)) a#(c(x1)) -> b#(x1) -> b#(c(x1)) -> a#(x1) a#(c(x1)) -> b#(x1) -> b#(b(b(x1))) -> a#(x1) a#(a(a(x1))) -> b#(a(a(x1))) -> b#(c(x1)) -> a#(a(x1)) a#(a(a(x1))) -> b#(a(a(x1))) -> b#(c(x1)) -> a#(x1) a#(a(a(x1))) -> b#(a(a(x1))) -> b#(b(b(x1))) -> a#(x1) a#(a(x1)) -> a#(b(a(x1))) -> a#(a(a(x1))) -> b#(a(a(x1))) a#(a(x1)) -> a#(b(a(x1))) -> a#(c(x1)) -> b#(b(x1)) a#(a(x1)) -> a#(b(a(x1))) -> a#(c(x1)) -> b#(x1) a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> a#(b(a(x1))) a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> b#(a(x1)) -> b#(c(x1)) -> a#(a(x1)) a#(a(x1)) -> b#(a(x1)) -> b#(c(x1)) -> a#(x1) a#(a(x1)) -> b#(a(x1)) -> b#(b(b(x1))) -> a#(x1) b#(c(x1)) -> a#(a(x1)) -> a#(a(a(x1))) -> b#(a(a(x1))) b#(c(x1)) -> a#(a(x1)) -> a#(c(x1)) -> b#(b(x1)) b#(c(x1)) -> a#(a(x1)) -> a#(c(x1)) -> b#(x1) b#(c(x1)) -> a#(a(x1)) -> a#(a(x1)) -> a#(b(a(x1))) b#(c(x1)) -> a#(a(x1)) -> a#(a(x1)) -> b#(a(x1)) b#(c(x1)) -> a#(x1) -> a#(a(a(x1))) -> b#(a(a(x1))) b#(c(x1)) -> a#(x1) -> a#(c(x1)) -> b#(b(x1)) b#(c(x1)) -> a#(x1) -> a#(c(x1)) -> b#(x1) b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(a(x1))) b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> b#(a(x1)) b#(b(b(x1))) -> a#(x1) -> a#(a(a(x1))) -> b#(a(a(x1))) b#(b(b(x1))) -> a#(x1) -> a#(c(x1)) -> b#(b(x1)) b#(b(b(x1))) -> a#(x1) -> a#(c(x1)) -> b#(x1) b#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> a#(b(a(x1))) b#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> b#(a(x1)) Polynomial Interpretation Processor: dimension: 1 interpretation: [a#](x0) = x0, [a](x0) = x0, [b#](x0) = x0, [b](x0) = x0, [c](x0) = x0 + 1 orientation: b#(b(b(x1))) = x1 >= x1 = a#(x1) a#(a(x1)) = x1 >= x1 = b#(a(x1)) a#(a(x1)) = x1 >= x1 = a#(b(a(x1))) b#(c(x1)) = x1 + 1 >= x1 = a#(x1) b#(c(x1)) = x1 + 1 >= x1 = a#(a(x1)) a#(c(x1)) = x1 + 1 >= x1 = b#(x1)
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