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SRS Standard pair #487085126
details
property
value
status
complete
benchmark
size-12-alpha-3-num-498.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.0496 seconds
cpu usage
168.458
user time
165.495
system time
2.96238
max virtual memory
1.154802E7
max residence set size
102180.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(x1)) -> b(a(c(x1))) b(b(x1)) -> a(a(x1)) c(b(x1)) -> a(x1) Proof: DP Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> a#(c(x1)) a#(a(x1)) -> b#(a(c(x1))) b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) c#(b(x1)) -> a#(x1) TRS: a(a(x1)) -> b(a(c(x1))) b(b(x1)) -> a(a(x1)) c(b(x1)) -> a(x1) TDG Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> a#(c(x1)) a#(a(x1)) -> b#(a(c(x1))) b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) c#(b(x1)) -> a#(x1) TRS: a(a(x1)) -> b(a(c(x1))) b(b(x1)) -> a(a(x1)) c(b(x1)) -> a(x1) graph: b#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> b#(a(c(x1))) b#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> a#(c(x1)) b#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> c#(x1) b#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(a(c(x1))) b#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(c(x1)) b#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(x1) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(a(c(x1))) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(c(x1)) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(x1) a#(a(x1)) -> b#(a(c(x1))) -> b#(b(x1)) -> a#(a(x1)) a#(a(x1)) -> b#(a(c(x1))) -> b#(b(x1)) -> a#(x1) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> a#(c(x1)) -> a#(a(x1)) -> b#(a(c(x1))) a#(a(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(c(x1)) a#(a(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(x1) Arctic Interpretation Processor: dimension: 1 usable rules: a(a(x1)) -> b(a(c(x1))) b(b(x1)) -> a(a(x1)) c(b(x1)) -> a(x1) interpretation: [c#](x0) = 5x0, [c](x0) = x0, [a#](x0) = 3x0, [b#](x0) = 3x0, [a](x0) = 2x0, [b](x0) = 2x0 orientation: a#(a(x1)) = 5x1 >= 5x1 = c#(x1) a#(a(x1)) = 5x1 >= 3x1 = a#(c(x1)) a#(a(x1)) = 5x1 >= 5x1 = b#(a(c(x1))) b#(b(x1)) = 5x1 >= 3x1 = a#(x1) b#(b(x1)) = 5x1 >= 5x1 = a#(a(x1)) c#(b(x1)) = 7x1 >= 3x1 = a#(x1) a(a(x1)) = 4x1 >= 4x1 = b(a(c(x1))) b(b(x1)) = 4x1 >= 4x1 = a(a(x1)) c(b(x1)) = 2x1 >= 2x1 = a(x1) problem: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> b#(a(c(x1))) b#(b(x1)) -> a#(a(x1)) TRS: a(a(x1)) -> b(a(c(x1))) b(b(x1)) -> a(a(x1)) c(b(x1)) -> a(x1) Restore Modifier: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> b#(a(c(x1))) b#(b(x1)) -> a#(a(x1)) TRS: a(a(x1)) -> b(a(c(x1)))
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