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SRS Standard pair #487084004
details
property
value
status
complete
benchmark
size-12-alpha-2-num-2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.3507 seconds
cpu usage
169.098
user time
166.188
system time
2.9097
max virtual memory
1.1634004E7
max residence set size
131576.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(x1)) -> x1 a(b(x1)) -> x1 a(b(b(x1))) -> b(b(a(b(a(x1))))) Proof: String Reversal Processor: a(a(x1)) -> x1 b(a(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) DP Processor: DPs: b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> a#(b(a(b(b(x1))))) TRS: a(a(x1)) -> x1 b(a(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) TDG Processor: DPs: b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> a#(b(a(b(b(x1))))) TRS: a(a(x1)) -> x1 b(a(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) graph: b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> a#(b(a(b(b(x1))))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> a#(b(a(b(b(x1))))) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> a#(b(a(b(b(x1))))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 15/25 DPs: b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(a(b(b(x1)))) TRS: a(a(x1)) -> x1 b(a(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) Arctic Interpretation Processor: dimension: 2 usable rules: a(a(x1)) -> x1 b(a(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) interpretation: [-& 0 ] [0 ] [b](x0) = [0 -&]x0 + [-&], [b#](x0) = [0 1]x0 + [0], [1 0 ] [2] [a](x0) = [0 -&]x0 + [0] orientation: b#(b(a(x1))) = [2 1]x1 + [3] >= [1 0]x1 + [0] = b#(b(x1)) b#(b(a(x1))) = [2 1]x1 + [3] >= [0 1]x1 + [0] = b#(x1) b#(b(a(x1))) = [2 1]x1 + [3] >= [1 0]x1 + [2] = b#(a(b(b(x1)))) [2 1] [3] a(a(x1)) = [1 0]x1 + [2] >= x1 = x1 [0 -&] [0] b(a(x1)) = [1 0 ]x1 + [2] >= x1 = x1 [1 0 ] [2] [1 0 ] [2] b(b(a(x1))) = [0 -&]x1 + [0] >= [0 -&]x1 + [0] = a(b(a(b(b(x1))))) problem: DPs: b#(b(a(x1))) -> b#(x1) TRS: a(a(x1)) -> x1 b(a(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1)))))
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