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SRS Standard pair #487085624
details
property
value
status
complete
benchmark
03.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Bouchare_06
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.5204 seconds
cpu usage
170.207
user time
166.839
system time
3.36727
max virtual memory
1.1645876E7
max residence set size
117548.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: b(b(x1)) -> a(a(a(x1))) a(a(b(x1))) -> b(x1) a(b(a(x1))) -> a(b(b(x1))) Proof: String Reversal Processor: b(b(x1)) -> a(a(a(x1))) b(a(a(x1))) -> b(x1) a(b(a(x1))) -> b(b(a(x1))) DP Processor: DPs: b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) b#(b(x1)) -> a#(a(a(x1))) b#(a(a(x1))) -> b#(x1) a#(b(a(x1))) -> b#(b(a(x1))) TRS: b(b(x1)) -> a(a(a(x1))) b(a(a(x1))) -> b(x1) a(b(a(x1))) -> b(b(a(x1))) TDG Processor: DPs: b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) b#(b(x1)) -> a#(a(a(x1))) b#(a(a(x1))) -> b#(x1) a#(b(a(x1))) -> b#(b(a(x1))) TRS: b(b(x1)) -> a(a(a(x1))) b(a(a(x1))) -> b(x1) a(b(a(x1))) -> b(b(a(x1))) graph: a#(b(a(x1))) -> b#(b(a(x1))) -> b#(a(a(x1))) -> b#(x1) a#(b(a(x1))) -> b#(b(a(x1))) -> b#(b(x1)) -> a#(a(a(x1))) a#(b(a(x1))) -> b#(b(a(x1))) -> b#(b(x1)) -> a#(a(x1)) a#(b(a(x1))) -> b#(b(a(x1))) -> b#(b(x1)) -> a#(x1) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(a(a(x1))) b#(a(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(a(x1)) b#(a(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(a(x1))) -> a#(b(a(x1))) -> b#(b(a(x1))) b#(b(x1)) -> a#(a(x1)) -> a#(b(a(x1))) -> b#(b(a(x1))) b#(b(x1)) -> a#(x1) -> a#(b(a(x1))) -> b#(b(a(x1))) Arctic Interpretation Processor: dimension: 2 usable rules: b(b(x1)) -> a(a(a(x1))) b(a(a(x1))) -> b(x1) a(b(a(x1))) -> b(b(a(x1))) interpretation: [0 0] [a](x0) = [0 0]x0, [a#](x0) = [0 0]x0, [0 0] [b](x0) = [1 0]x0, [b#](x0) = [0 -&]x0 orientation: b#(b(x1)) = [0 0]x1 >= [0 0]x1 = a#(x1) b#(b(x1)) = [0 0]x1 >= [0 0]x1 = a#(a(x1)) b#(b(x1)) = [0 0]x1 >= [0 0]x1 = a#(a(a(x1))) b#(a(a(x1))) = [0 0]x1 >= [0 -&]x1 = b#(x1) a#(b(a(x1))) = [1 1]x1 >= [0 0]x1 = b#(b(a(x1))) [1 0] [0 0] b(b(x1)) = [1 1]x1 >= [0 0]x1 = a(a(a(x1))) [0 0] [0 0] b(a(a(x1))) = [1 1]x1 >= [1 0]x1 = b(x1) [1 1] [1 1] a(b(a(x1))) = [1 1]x1 >= [1 1]x1 = b(b(a(x1))) problem: DPs: b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) b#(b(x1)) -> a#(a(a(x1))) b#(a(a(x1))) -> b#(x1) TRS: b(b(x1)) -> a(a(a(x1))) b(a(a(x1))) -> b(x1) a(b(a(x1))) -> b(b(a(x1))) Restore Modifier: DPs: b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) b#(b(x1)) -> a#(a(a(x1))) b#(a(a(x1))) -> b#(x1) TRS: b(b(x1)) -> a(a(a(x1))) b(a(a(x1))) -> b(x1)
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