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SRS Standard pair #487084754
details
property
value
status
complete
benchmark
size-12-alpha-3-num-487.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
49.0358 seconds
cpu usage
215.35
user time
210.447
system time
4.9029
max virtual memory
1.1840584E7
max residence set size
102392.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(x1)) -> b(x1) a(b(x1)) -> c(a(x1)) b(c(x1)) -> c(b(a(x1))) Proof: String Reversal Processor: a(a(x1)) -> b(x1) b(a(x1)) -> a(c(x1)) c(b(x1)) -> a(b(c(x1))) DP Processor: DPs: a#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(x1) b#(a(x1)) -> a#(c(x1)) c#(b(x1)) -> c#(x1) c#(b(x1)) -> b#(c(x1)) c#(b(x1)) -> a#(b(c(x1))) TRS: a(a(x1)) -> b(x1) b(a(x1)) -> a(c(x1)) c(b(x1)) -> a(b(c(x1))) TDG Processor: DPs: a#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(x1) b#(a(x1)) -> a#(c(x1)) c#(b(x1)) -> c#(x1) c#(b(x1)) -> b#(c(x1)) c#(b(x1)) -> a#(b(c(x1))) TRS: a(a(x1)) -> b(x1) b(a(x1)) -> a(c(x1)) c(b(x1)) -> a(b(c(x1))) graph: c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(b(c(x1))) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> b#(c(x1)) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> b#(c(x1)) -> b#(a(x1)) -> a#(c(x1)) c#(b(x1)) -> b#(c(x1)) -> b#(a(x1)) -> c#(x1) c#(b(x1)) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(b(c(x1))) b#(a(x1)) -> c#(x1) -> c#(b(x1)) -> b#(c(x1)) b#(a(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) b#(a(x1)) -> a#(c(x1)) -> a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(c(x1)) a#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(a(x1)) -> b(x1) b(a(x1)) -> a(c(x1)) c(b(x1)) -> a(b(c(x1))) interpretation: [b#](x0) = [0 1]x0 + [0], [0 -&] [-&] [b](x0) = [0 1 ]x0 + [3 ], [a#](x0) = [0 1]x0 + [0], [c#](x0) = [0 1]x0, [0 1 ] [2] [a](x0) = [0 -&]x0 + [3], [-& 1 ] [0] [c](x0) = [-& 0 ]x0 + [1] orientation: a#(a(x1)) = [1 1]x1 + [4] >= [0 1]x1 + [0] = b#(x1) b#(a(x1)) = [1 1]x1 + [4] >= [0 1]x1 = c#(x1) b#(a(x1)) = [1 1]x1 + [4] >= [-& 1 ]x1 + [2] = a#(c(x1)) c#(b(x1)) = [1 2]x1 + [4] >= [0 1]x1 = c#(x1) c#(b(x1)) = [1 2]x1 + [4] >= [-& 1 ]x1 + [2] = b#(c(x1)) c#(b(x1)) = [1 2]x1 + [4] >= [-& 2 ]x1 + [4] = a#(b(c(x1))) [1 1] [4] [0 -&] [-&] a(a(x1)) = [0 1]x1 + [3] >= [0 1 ]x1 + [3 ] = b(x1) [0 1] [2] [-& 1 ] [2] b(a(x1)) = [1 1]x1 + [4] >= [-& 1 ]x1 + [3] = a(c(x1)) [1 2] [4] [-& 2 ] [4] c(b(x1)) = [0 1]x1 + [3] >= [-& 1 ]x1 + [3] = a(b(c(x1))) problem: DPs: a#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(x1) b#(a(x1)) -> a#(c(x1)) c#(b(x1)) -> a#(b(c(x1))) TRS: a(a(x1)) -> b(x1) b(a(x1)) -> a(c(x1))
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