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SRS Standard pair #487084064
details
property
value
status
complete
benchmark
size-12-alpha-2-num-15.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
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
45.5088 seconds
cpu usage
177.563
user time
173.508
system time
4.05484
max virtual memory
1.1440444E7
max residence set size
121408.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(x1)) -> a(b(a(b(x1)))) b(b(b(b(x1)))) -> a(x1) Proof: String Reversal Processor: a(x1) -> x1 a(a(x1)) -> b(a(b(a(x1)))) b(b(b(b(x1)))) -> a(x1) DP Processor: DPs: a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(b(a(x1))) a#(a(x1)) -> b#(a(b(a(x1)))) b#(b(b(b(x1)))) -> a#(x1) TRS: a(x1) -> x1 a(a(x1)) -> b(a(b(a(x1)))) b(b(b(b(x1)))) -> a(x1) TDG Processor: DPs: a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(b(a(x1))) a#(a(x1)) -> b#(a(b(a(x1)))) b#(b(b(b(x1)))) -> a#(x1) TRS: a(x1) -> x1 a(a(x1)) -> b(a(b(a(x1)))) b(b(b(b(x1)))) -> a(x1) graph: b#(b(b(b(x1)))) -> a#(x1) -> a#(a(x1)) -> b#(a(b(a(x1)))) b#(b(b(b(x1)))) -> a#(x1) -> a#(a(x1)) -> a#(b(a(x1))) b#(b(b(b(x1)))) -> a#(x1) -> a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> b#(a(b(a(x1)))) -> b#(b(b(b(x1)))) -> a#(x1) a#(a(x1)) -> b#(a(x1)) -> b#(b(b(b(x1)))) -> a#(x1) a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(a(b(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)) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(a(x1)) -> b(a(b(a(x1)))) b(b(b(b(x1)))) -> a(x1) interpretation: [1 0 ] [b](x0) = [0 -&]x0, [b#](x0) = [0 0]x0, [0 1] [a](x0) = [1 2]x0, [a#](x0) = [1 1]x0 orientation: a#(a(x1)) = [2 3]x1 >= [1 2]x1 = b#(a(x1)) a#(a(x1)) = [2 3]x1 >= [2 3]x1 = a#(b(a(x1))) a#(a(x1)) = [2 3]x1 >= [2 3]x1 = b#(a(b(a(x1)))) b#(b(b(b(x1)))) = [3 2]x1 >= [1 1]x1 = a#(x1) [0 1] a(x1) = [1 2]x1 >= x1 = x1 [2 3] [2 3] a(a(x1)) = [3 4]x1 >= [1 2]x1 = b(a(b(a(x1)))) [4 3] [0 1] b(b(b(b(x1)))) = [3 2]x1 >= [1 2]x1 = a(x1) problem: DPs: a#(a(x1)) -> a#(b(a(x1))) a#(a(x1)) -> b#(a(b(a(x1)))) TRS: a(x1) -> x1 a(a(x1)) -> b(a(b(a(x1)))) b(b(b(b(x1)))) -> a(x1) Restore Modifier: DPs: a#(a(x1)) -> a#(b(a(x1))) a#(a(x1)) -> b#(a(b(a(x1)))) TRS: a(x1) -> x1 a(a(x1)) -> b(a(b(a(x1)))) b(b(b(b(x1)))) -> a(x1) EDG Processor: DPs: a#(a(x1)) -> a#(b(a(x1))) a#(a(x1)) -> b#(a(b(a(x1)))) TRS: a(x1) -> x1 a(a(x1)) -> b(a(b(a(x1)))) b(b(b(b(x1)))) -> a(x1) graph: a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> a#(b(a(x1)))
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