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SRS Standard pair #487083398
details
property
value
status
complete
benchmark
07.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
Mixed_SRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
45.1179 seconds
cpu usage
176.398
user time
173.006
system time
3.39199
max virtual memory
1.1455284E7
max residence set size
128232.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(b(b(x1)))) -> a(b(a(a(x1)))) a(x1) -> b(b(b(x1))) Proof: String Reversal Processor: b(b(a(a(x1)))) -> a(a(b(a(x1)))) a(x1) -> b(b(b(x1))) DP Processor: DPs: b#(b(a(a(x1)))) -> b#(a(x1)) b#(b(a(a(x1)))) -> a#(b(a(x1))) b#(b(a(a(x1)))) -> a#(a(b(a(x1)))) a#(x1) -> b#(x1) a#(x1) -> b#(b(x1)) a#(x1) -> b#(b(b(x1))) TRS: b(b(a(a(x1)))) -> a(a(b(a(x1)))) a(x1) -> b(b(b(x1))) TDG Processor: DPs: b#(b(a(a(x1)))) -> b#(a(x1)) b#(b(a(a(x1)))) -> a#(b(a(x1))) b#(b(a(a(x1)))) -> a#(a(b(a(x1)))) a#(x1) -> b#(x1) a#(x1) -> b#(b(x1)) a#(x1) -> b#(b(b(x1))) TRS: b(b(a(a(x1)))) -> a(a(b(a(x1)))) a(x1) -> b(b(b(x1))) graph: a#(x1) -> b#(b(b(x1))) -> b#(b(a(a(x1)))) -> a#(a(b(a(x1)))) a#(x1) -> b#(b(b(x1))) -> b#(b(a(a(x1)))) -> a#(b(a(x1))) a#(x1) -> b#(b(b(x1))) -> b#(b(a(a(x1)))) -> b#(a(x1)) a#(x1) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> a#(a(b(a(x1)))) a#(x1) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> a#(b(a(x1))) a#(x1) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(a(x1)) a#(x1) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(a(b(a(x1)))) a#(x1) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(b(a(x1))) a#(x1) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(a(x1)) b#(b(a(a(x1)))) -> a#(a(b(a(x1)))) -> a#(x1) -> b#(b(b(x1))) b#(b(a(a(x1)))) -> a#(a(b(a(x1)))) -> a#(x1) -> b#(b(x1)) b#(b(a(a(x1)))) -> a#(a(b(a(x1)))) -> a#(x1) -> b#(x1) b#(b(a(a(x1)))) -> a#(b(a(x1))) -> a#(x1) -> b#(b(b(x1))) b#(b(a(a(x1)))) -> a#(b(a(x1))) -> a#(x1) -> b#(b(x1)) b#(b(a(a(x1)))) -> a#(b(a(x1))) -> a#(x1) -> b#(x1) b#(b(a(a(x1)))) -> b#(a(x1)) -> b#(b(a(a(x1)))) -> a#(a(b(a(x1)))) b#(b(a(a(x1)))) -> b#(a(x1)) -> b#(b(a(a(x1)))) -> a#(b(a(x1))) b#(b(a(a(x1)))) -> b#(a(x1)) -> b#(b(a(a(x1)))) -> b#(a(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: b(b(a(a(x1)))) -> a(a(b(a(x1)))) a(x1) -> b(b(b(x1))) interpretation: [1 0 ] [1] [a](x0) = [0 -&]x0 + [0], [a#](x0) = [0 0]x0 + [0], [-& 0 ] [0] [b](x0) = [0 -&]x0 + [0], [b#](x0) = [-& 0 ]x0 + [0] orientation: b#(b(a(a(x1)))) = [2 1]x1 + [2] >= [0 -&]x1 + [0] = b#(a(x1)) b#(b(a(a(x1)))) = [2 1]x1 + [2] >= [1 0]x1 + [1] = a#(b(a(x1))) b#(b(a(a(x1)))) = [2 1]x1 + [2] >= [1 0]x1 + [1] = a#(a(b(a(x1)))) a#(x1) = [0 0]x1 + [0] >= [-& 0 ]x1 + [0] = b#(x1) a#(x1) = [0 0]x1 + [0] >= [0 -&]x1 + [0] = b#(b(x1)) a#(x1) = [0 0]x1 + [0] >= [-& 0 ]x1 + [0] = b#(b(b(x1))) [2 1] [2] [2 1] [2] b(b(a(a(x1)))) = [1 0]x1 + [1] >= [1 0]x1 + [1] = a(a(b(a(x1)))) [1 0 ] [1] [-& 0 ] [0] a(x1) = [0 -&]x1 + [0] >= [0 -&]x1 + [0] = b(b(b(x1))) problem: DPs: a#(x1) -> b#(x1) a#(x1) -> b#(b(x1)) a#(x1) -> b#(b(b(x1))) TRS: b(b(a(a(x1)))) -> a(a(b(a(x1)))) a(x1) -> b(b(b(x1))) Restore Modifier: DPs: a#(x1) -> b#(x1) a#(x1) -> b#(b(x1)) a#(x1) -> b#(b(b(x1))) TRS: b(b(a(a(x1)))) -> a(a(b(a(x1)))) a(x1) -> b(b(b(x1)))
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