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SRS Standard pair #487085708
details
property
value
status
complete
benchmark
11.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Bouchare_06
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
47.8532 seconds
cpu usage
187.517
user time
182.699
system time
4.8174
max virtual memory
1.1652808E7
max residence set size
102152.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(a(x1))) -> b(x1) b(b(x1)) -> a(a(x1)) a(a(x1)) -> a(b(a(x1))) Proof: DP Processor: DPs: a#(a(a(x1))) -> b#(x1) b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(b(a(x1))) TRS: a(a(a(x1))) -> b(x1) b(b(x1)) -> a(a(x1)) a(a(x1)) -> a(b(a(x1))) TDG Processor: DPs: a#(a(a(x1))) -> b#(x1) b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(b(a(x1))) TRS: a(a(a(x1))) -> b(x1) b(b(x1)) -> a(a(x1)) a(a(x1)) -> a(b(a(x1))) graph: b#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> a#(b(a(x1))) b#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> b#(a(x1)) b#(b(x1)) -> a#(a(x1)) -> a#(a(a(x1))) -> b#(x1) b#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(a(x1))) b#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(a(x1)) b#(b(x1)) -> a#(x1) -> a#(a(a(x1))) -> b#(x1) a#(a(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(a(x1)) a#(a(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(x1) a#(a(x1)) -> b#(a(x1)) -> b#(b(x1)) -> a#(a(x1)) a#(a(x1)) -> b#(a(x1)) -> b#(b(x1)) -> a#(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)) -> a#(b(a(x1))) -> a#(a(a(x1))) -> b#(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(a(a(x1))) -> b(x1) b(b(x1)) -> a(a(x1)) a(a(x1)) -> a(b(a(x1))) interpretation: [2 2] [3] [b](x0) = [2 0]x0 + [3], [b#](x0) = [0 0]x0 + [0], [-& 0 ] [0] [a](x0) = [0 2 ]x0 + [3], [a#](x0) = [-& 0 ]x0 + [0] orientation: a#(a(a(x1))) = [2 4]x1 + [5] >= [0 0]x1 + [0] = b#(x1) b#(b(x1)) = [2 2]x1 + [3] >= [-& 0 ]x1 + [0] = a#(x1) b#(b(x1)) = [2 2]x1 + [3] >= [0 2]x1 + [3] = a#(a(x1)) a#(a(x1)) = [0 2]x1 + [3] >= [0 2]x1 + [3] = b#(a(x1)) a#(a(x1)) = [0 2]x1 + [3] >= [0 2]x1 + [3] = a#(b(a(x1))) [2 4] [5] [2 2] [3] a(a(a(x1))) = [4 6]x1 + [7] >= [2 0]x1 + [3] = b(x1) [4 4] [5] [0 2] [3] b(b(x1)) = [4 4]x1 + [5] >= [2 4]x1 + [5] = a(a(x1)) [0 2] [3] [0 2] [3] a(a(x1)) = [2 4]x1 + [5] >= [2 4]x1 + [5] = a(b(a(x1))) problem: DPs: b#(b(x1)) -> a#(a(x1)) a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(b(a(x1))) TRS: a(a(a(x1))) -> b(x1) b(b(x1)) -> a(a(x1)) a(a(x1)) -> a(b(a(x1))) Restore Modifier: DPs: b#(b(x1)) -> a#(a(x1)) a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(b(a(x1))) TRS: a(a(a(x1))) -> b(x1) b(b(x1)) -> a(a(x1)) a(a(x1)) -> a(b(a(x1))) EDG Processor: DPs: b#(b(x1)) -> a#(a(x1))
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