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SRS Standard pair #487085360
details
property
value
status
complete
benchmark
size-12-alpha-2-num-16.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
48.1923 seconds
cpu usage
188.719
user time
183.06
system time
5.65895
max virtual memory
1.1634788E7
max residence set size
131724.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(x1)) -> b(x1) b(a(b(x1))) -> a(a(b(b(b(x1))))) Proof: DP Processor: DPs: a#(a(x1)) -> b#(x1) b#(a(b(x1))) -> b#(b(x1)) b#(a(b(x1))) -> b#(b(b(x1))) b#(a(b(x1))) -> a#(b(b(b(x1)))) b#(a(b(x1))) -> a#(a(b(b(b(x1))))) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(a(b(x1))) -> a(a(b(b(b(x1))))) TDG Processor: DPs: a#(a(x1)) -> b#(x1) b#(a(b(x1))) -> b#(b(x1)) b#(a(b(x1))) -> b#(b(b(x1))) b#(a(b(x1))) -> a#(b(b(b(x1)))) b#(a(b(x1))) -> a#(a(b(b(b(x1))))) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(a(b(x1))) -> a(a(b(b(b(x1))))) graph: b#(a(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> a#(a(b(b(b(x1))))) b#(a(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> a#(b(b(b(x1)))) b#(a(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> b#(b(b(x1))) b#(a(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> b#(b(x1)) b#(a(b(x1))) -> b#(b(x1)) -> b#(a(b(x1))) -> a#(a(b(b(b(x1))))) b#(a(b(x1))) -> b#(b(x1)) -> b#(a(b(x1))) -> a#(b(b(b(x1)))) b#(a(b(x1))) -> b#(b(x1)) -> b#(a(b(x1))) -> b#(b(b(x1))) b#(a(b(x1))) -> b#(b(x1)) -> b#(a(b(x1))) -> b#(b(x1)) b#(a(b(x1))) -> a#(b(b(b(x1)))) -> a#(a(x1)) -> b#(x1) b#(a(b(x1))) -> a#(a(b(b(b(x1))))) -> a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(x1) -> b#(a(b(x1))) -> a#(a(b(b(b(x1))))) a#(a(x1)) -> b#(x1) -> b#(a(b(x1))) -> a#(b(b(b(x1)))) a#(a(x1)) -> b#(x1) -> b#(a(b(x1))) -> b#(b(b(x1))) a#(a(x1)) -> b#(x1) -> b#(a(b(x1))) -> b#(b(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(a(x1)) -> b(x1) b(a(b(x1))) -> a(a(b(b(b(x1))))) interpretation: [0 0] [0 ] [b](x0) = [0 0]x0 + [-&], [b#](x0) = [0 -&]x0, [0 1] [3] [a](x0) = [0 0]x0 + [2], [a#](x0) = [0 -&]x0 + [3] orientation: a#(a(x1)) = [0 1]x1 + [3] >= [0 -&]x1 = b#(x1) b#(a(b(x1))) = [1 1]x1 + [3] >= [0 0]x1 + [0] = b#(b(x1)) b#(a(b(x1))) = [1 1]x1 + [3] >= [0 0]x1 + [0] = b#(b(b(x1))) b#(a(b(x1))) = [1 1]x1 + [3] >= [0 0]x1 + [3] = a#(b(b(b(x1)))) b#(a(b(x1))) = [1 1]x1 + [3] >= [1 1]x1 + [3] = a#(a(b(b(b(x1))))) [0 1] [3] a(x1) = [0 0]x1 + [2] >= x1 = x1 [1 1] [3] [0 0] [0 ] a(a(x1)) = [0 1]x1 + [3] >= [0 0]x1 + [-&] = b(x1) [1 1] [3] [1 1] [3] b(a(b(x1))) = [1 1]x1 + [3] >= [1 1]x1 + [3] = a(a(b(b(b(x1))))) problem: DPs: a#(a(x1)) -> b#(x1) b#(a(b(x1))) -> a#(b(b(b(x1)))) b#(a(b(x1))) -> a#(a(b(b(b(x1))))) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(a(b(x1))) -> a(a(b(b(b(x1))))) Restore Modifier: DPs: a#(a(x1)) -> b#(x1) b#(a(b(x1))) -> a#(b(b(b(x1)))) b#(a(b(x1))) -> a#(a(b(b(b(x1))))) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(a(b(x1))) -> a(a(b(b(b(x1))))) EDG Processor: DPs:
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