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SRS Standard pair #487092098
details
property
value
status
complete
benchmark
size-11-alpha-2-num-4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n022.star.cs.uiowa.edu
space
Waldmann_07_size11
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
45.8924 seconds
cpu usage
179.304
user time
175.178
system time
4.12614
max virtual memory
1.1840844E7
max residence set size
189732.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(x1) b(a(b(b(x1)))) -> b(b(b(a(a(x1))))) Proof: String Reversal Processor: a(x1) -> b(x1) b(b(a(b(x1)))) -> a(a(b(b(b(x1))))) DP Processor: DPs: a#(x1) -> b#(x1) b#(b(a(b(x1)))) -> b#(b(x1)) b#(b(a(b(x1)))) -> b#(b(b(x1))) b#(b(a(b(x1)))) -> a#(b(b(b(x1)))) b#(b(a(b(x1)))) -> a#(a(b(b(b(x1))))) TRS: a(x1) -> b(x1) b(b(a(b(x1)))) -> a(a(b(b(b(x1))))) TDG Processor: DPs: a#(x1) -> b#(x1) b#(b(a(b(x1)))) -> b#(b(x1)) b#(b(a(b(x1)))) -> b#(b(b(x1))) b#(b(a(b(x1)))) -> a#(b(b(b(x1)))) b#(b(a(b(x1)))) -> a#(a(b(b(b(x1))))) TRS: a(x1) -> b(x1) b(b(a(b(x1)))) -> a(a(b(b(b(x1))))) graph: b#(b(a(b(x1)))) -> b#(b(b(x1))) -> b#(b(a(b(x1)))) -> a#(a(b(b(b(x1))))) b#(b(a(b(x1)))) -> b#(b(b(x1))) -> b#(b(a(b(x1)))) -> a#(b(b(b(x1)))) b#(b(a(b(x1)))) -> b#(b(b(x1))) -> b#(b(a(b(x1)))) -> b#(b(b(x1))) b#(b(a(b(x1)))) -> b#(b(b(x1))) -> b#(b(a(b(x1)))) -> b#(b(x1)) b#(b(a(b(x1)))) -> b#(b(x1)) -> b#(b(a(b(x1)))) -> a#(a(b(b(b(x1))))) b#(b(a(b(x1)))) -> b#(b(x1)) -> b#(b(a(b(x1)))) -> a#(b(b(b(x1)))) b#(b(a(b(x1)))) -> b#(b(x1)) -> b#(b(a(b(x1)))) -> b#(b(b(x1))) b#(b(a(b(x1)))) -> b#(b(x1)) -> b#(b(a(b(x1)))) -> b#(b(x1)) b#(b(a(b(x1)))) -> a#(b(b(b(x1)))) -> a#(x1) -> b#(x1) b#(b(a(b(x1)))) -> a#(a(b(b(b(x1))))) -> a#(x1) -> b#(x1) a#(x1) -> b#(x1) -> b#(b(a(b(x1)))) -> a#(a(b(b(b(x1))))) a#(x1) -> b#(x1) -> b#(b(a(b(x1)))) -> a#(b(b(b(x1)))) a#(x1) -> b#(x1) -> b#(b(a(b(x1)))) -> b#(b(b(x1))) a#(x1) -> b#(x1) -> b#(b(a(b(x1)))) -> b#(b(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(x1) b(b(a(b(x1)))) -> a(a(b(b(b(x1))))) interpretation: [0 0] [0] [b](x0) = [0 0]x0 + [0], [b#](x0) = [0 0]x0 + [0], [0 0] [0] [a](x0) = [1 0]x0 + [0], [a#](x0) = [1 0]x0 + [0] orientation: a#(x1) = [1 0]x1 + [0] >= [0 0]x1 + [0] = b#(x1) b#(b(a(b(x1)))) = [1 1]x1 + [1] >= [0 0]x1 + [0] = b#(b(x1)) b#(b(a(b(x1)))) = [1 1]x1 + [1] >= [0 0]x1 + [0] = b#(b(b(x1))) b#(b(a(b(x1)))) = [1 1]x1 + [1] >= [1 1]x1 + [1] = a#(b(b(b(x1)))) b#(b(a(b(x1)))) = [1 1]x1 + [1] >= [1 1]x1 + [1] = a#(a(b(b(b(x1))))) [0 0] [0] [0 0] [0] a(x1) = [1 0]x1 + [0] >= [0 0]x1 + [0] = b(x1) [1 1] [1] [1 1] [1] b(b(a(b(x1)))) = [1 1]x1 + [1] >= [1 1]x1 + [1] = a(a(b(b(b(x1))))) problem: DPs: a#(x1) -> b#(x1) b#(b(a(b(x1)))) -> a#(b(b(b(x1)))) b#(b(a(b(x1)))) -> a#(a(b(b(b(x1))))) TRS: a(x1) -> b(x1) b(b(a(b(x1)))) -> a(a(b(b(b(x1))))) Restore Modifier: DPs: a#(x1) -> b#(x1) b#(b(a(b(x1)))) -> a#(b(b(b(x1)))) b#(b(a(b(x1)))) -> a#(a(b(b(b(x1))))) TRS: a(x1) -> b(x1) b(b(a(b(x1)))) -> a(a(b(b(b(x1))))) EDG Processor: DPs: a#(x1) -> b#(x1) b#(b(a(b(x1)))) -> a#(b(b(b(x1))))
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