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SRS Standard pair #487084838
details
property
value
status
complete
benchmark
size-12-alpha-2-num-22.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
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.7489 seconds
cpu usage
167.834
user time
164.865
system time
2.96955
max virtual memory
1.1828284E7
max residence set size
190732.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(b(a(x1)))) -> b(b(a(a(a(x1))))) b(x1) -> a(x1) Proof: DP Processor: DPs: a#(a(b(a(x1)))) -> a#(a(x1)) a#(a(b(a(x1)))) -> a#(a(a(x1))) a#(a(b(a(x1)))) -> b#(a(a(a(x1)))) a#(a(b(a(x1)))) -> b#(b(a(a(a(x1))))) b#(x1) -> a#(x1) TRS: a(x1) -> x1 a(a(b(a(x1)))) -> b(b(a(a(a(x1))))) b(x1) -> a(x1) TDG Processor: DPs: a#(a(b(a(x1)))) -> a#(a(x1)) a#(a(b(a(x1)))) -> a#(a(a(x1))) a#(a(b(a(x1)))) -> b#(a(a(a(x1)))) a#(a(b(a(x1)))) -> b#(b(a(a(a(x1))))) b#(x1) -> a#(x1) TRS: a(x1) -> x1 a(a(b(a(x1)))) -> b(b(a(a(a(x1))))) b(x1) -> a(x1) graph: b#(x1) -> a#(x1) -> a#(a(b(a(x1)))) -> b#(b(a(a(a(x1))))) b#(x1) -> a#(x1) -> a#(a(b(a(x1)))) -> b#(a(a(a(x1)))) b#(x1) -> a#(x1) -> a#(a(b(a(x1)))) -> a#(a(a(x1))) b#(x1) -> a#(x1) -> a#(a(b(a(x1)))) -> a#(a(x1)) a#(a(b(a(x1)))) -> b#(b(a(a(a(x1))))) -> b#(x1) -> a#(x1) a#(a(b(a(x1)))) -> b#(a(a(a(x1)))) -> b#(x1) -> a#(x1) a#(a(b(a(x1)))) -> a#(a(a(x1))) -> a#(a(b(a(x1)))) -> b#(b(a(a(a(x1))))) a#(a(b(a(x1)))) -> a#(a(a(x1))) -> a#(a(b(a(x1)))) -> b#(a(a(a(x1)))) a#(a(b(a(x1)))) -> a#(a(a(x1))) -> a#(a(b(a(x1)))) -> a#(a(a(x1))) a#(a(b(a(x1)))) -> a#(a(a(x1))) -> a#(a(b(a(x1)))) -> a#(a(x1)) a#(a(b(a(x1)))) -> a#(a(x1)) -> a#(a(b(a(x1)))) -> b#(b(a(a(a(x1))))) a#(a(b(a(x1)))) -> a#(a(x1)) -> a#(a(b(a(x1)))) -> b#(a(a(a(x1)))) a#(a(b(a(x1)))) -> a#(a(x1)) -> a#(a(b(a(x1)))) -> a#(a(a(x1))) a#(a(b(a(x1)))) -> a#(a(x1)) -> a#(a(b(a(x1)))) -> a#(a(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(a(b(a(x1)))) -> b(b(a(a(a(x1))))) b(x1) -> a(x1) interpretation: [0 0] [3] [b](x0) = [2 0]x0 + [2], [b#](x0) = [3 0]x0 + [0], [0 0 ] [3] [a](x0) = [-& 0 ]x0 + [0], [a#](x0) = [1 -&]x0 orientation: a#(a(b(a(x1)))) = [3 3]x1 + [6] >= [1 1]x1 + [4] = a#(a(x1)) a#(a(b(a(x1)))) = [3 3]x1 + [6] >= [1 1]x1 + [4] = a#(a(a(x1))) a#(a(b(a(x1)))) = [3 3]x1 + [6] >= [3 3]x1 + [6] = b#(a(a(a(x1)))) a#(a(b(a(x1)))) = [3 3]x1 + [6] >= [3 3]x1 + [6] = b#(b(a(a(a(x1))))) b#(x1) = [3 0]x1 + [0] >= [1 -&]x1 = a#(x1) [0 0 ] [3] a(x1) = [-& 0 ]x1 + [0] >= x1 = x1 [2 2] [5] [2 2] [5] a(a(b(a(x1)))) = [2 2]x1 + [5] >= [2 2]x1 + [5] = b(b(a(a(a(x1))))) [0 0] [3] [0 0 ] [3] b(x1) = [2 0]x1 + [2] >= [-& 0 ]x1 + [0] = a(x1) problem: DPs: a#(a(b(a(x1)))) -> b#(a(a(a(x1)))) a#(a(b(a(x1)))) -> b#(b(a(a(a(x1))))) TRS: a(x1) -> x1 a(a(b(a(x1)))) -> b(b(a(a(a(x1))))) b(x1) -> a(x1) Restore Modifier: DPs: a#(a(b(a(x1)))) -> b#(a(a(a(x1)))) a#(a(b(a(x1)))) -> b#(b(a(a(a(x1))))) TRS: a(x1) -> x1 a(a(b(a(x1)))) -> b(b(a(a(a(x1))))) b(x1) -> a(x1)
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