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SRS Standard pair #487083944
details
property
value
status
complete
benchmark
size-12-alpha-3-num-453.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
48.863 seconds
cpu usage
189.16
user time
184.736
system time
4.42436
max virtual memory
1.1842792E7
max residence set size
102072.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(c(x1)) b(a(b(x1))) -> a(a(a(x1))) c(c(x1)) -> a(x1) Proof: String Reversal Processor: a(x1) -> c(b(x1)) b(a(b(x1))) -> a(a(a(x1))) c(c(x1)) -> a(x1) DP Processor: DPs: a#(x1) -> b#(x1) a#(x1) -> c#(b(x1)) b#(a(b(x1))) -> a#(x1) b#(a(b(x1))) -> a#(a(x1)) b#(a(b(x1))) -> a#(a(a(x1))) c#(c(x1)) -> a#(x1) TRS: a(x1) -> c(b(x1)) b(a(b(x1))) -> a(a(a(x1))) c(c(x1)) -> a(x1) TDG Processor: DPs: a#(x1) -> b#(x1) a#(x1) -> c#(b(x1)) b#(a(b(x1))) -> a#(x1) b#(a(b(x1))) -> a#(a(x1)) b#(a(b(x1))) -> a#(a(a(x1))) c#(c(x1)) -> a#(x1) TRS: a(x1) -> c(b(x1)) b(a(b(x1))) -> a(a(a(x1))) c(c(x1)) -> a(x1) graph: c#(c(x1)) -> a#(x1) -> a#(x1) -> c#(b(x1)) c#(c(x1)) -> a#(x1) -> a#(x1) -> b#(x1) b#(a(b(x1))) -> a#(a(a(x1))) -> a#(x1) -> c#(b(x1)) b#(a(b(x1))) -> a#(a(a(x1))) -> a#(x1) -> b#(x1) b#(a(b(x1))) -> a#(a(x1)) -> a#(x1) -> c#(b(x1)) b#(a(b(x1))) -> a#(a(x1)) -> a#(x1) -> b#(x1) b#(a(b(x1))) -> a#(x1) -> a#(x1) -> c#(b(x1)) b#(a(b(x1))) -> a#(x1) -> a#(x1) -> b#(x1) a#(x1) -> c#(b(x1)) -> c#(c(x1)) -> a#(x1) a#(x1) -> b#(x1) -> b#(a(b(x1))) -> a#(a(a(x1))) a#(x1) -> b#(x1) -> b#(a(b(x1))) -> a#(a(x1)) a#(x1) -> b#(x1) -> b#(a(b(x1))) -> a#(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> c(b(x1)) b(a(b(x1))) -> a(a(a(x1))) c(c(x1)) -> a(x1) interpretation: [b#](x0) = [1 -&]x0 + [0], [-& 0 ] [0] [c](x0) = [0 1 ]x0 + [2], [a#](x0) = [2 0]x0 + [3], [c#](x0) = [0 2]x0 + [3], [0 -&] [0] [a](x0) = [1 0 ]x0 + [2], [1 0 ] [2] [b](x0) = [0 -&]x0 + [0] orientation: a#(x1) = [2 0]x1 + [3] >= [1 -&]x1 + [0] = b#(x1) a#(x1) = [2 0]x1 + [3] >= [2 0]x1 + [3] = c#(b(x1)) b#(a(b(x1))) = [2 1]x1 + [3] >= [2 0]x1 + [3] = a#(x1) b#(a(b(x1))) = [2 1]x1 + [3] >= [2 0]x1 + [3] = a#(a(x1)) b#(a(b(x1))) = [2 1]x1 + [3] >= [2 0]x1 + [3] = a#(a(a(x1))) c#(c(x1)) = [2 3]x1 + [4] >= [2 0]x1 + [3] = a#(x1) [0 -&] [0] [0 -&] [0] a(x1) = [1 0 ]x1 + [2] >= [1 0 ]x1 + [2] = c(b(x1)) [2 1] [3] [0 -&] [0] b(a(b(x1))) = [1 0]x1 + [2] >= [1 0 ]x1 + [2] = a(a(a(x1))) [0 1] [2] [0 -&] [0] c(c(x1)) = [1 2]x1 + [3] >= [1 0 ]x1 + [2] = a(x1) problem: DPs: a#(x1) -> c#(b(x1)) b#(a(b(x1))) -> a#(x1) b#(a(b(x1))) -> a#(a(x1)) b#(a(b(x1))) -> a#(a(a(x1))) c#(c(x1)) -> a#(x1) TRS: a(x1) -> c(b(x1))
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