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SRS Standard pair #487085540
details
property
value
status
complete
benchmark
size-12-alpha-3-num-226.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
45.7321 seconds
cpu usage
179.432
user time
175.535
system time
3.89741
max virtual memory
1.1652688E7
max residence set size
101972.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> b(c(x1)) b(x1) -> x1 c(c(x1)) -> a(c(b(a(x1)))) Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> c(b(x1)) b(x1) -> x1 c(c(x1)) -> a(b(c(a(x1)))) DP Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) c#(c(x1)) -> a#(x1) c#(c(x1)) -> c#(a(x1)) c#(c(x1)) -> b#(c(a(x1))) c#(c(x1)) -> a#(b(c(a(x1)))) TRS: a(x1) -> x1 b(a(x1)) -> c(b(x1)) b(x1) -> x1 c(c(x1)) -> a(b(c(a(x1)))) TDG Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) c#(c(x1)) -> a#(x1) c#(c(x1)) -> c#(a(x1)) c#(c(x1)) -> b#(c(a(x1))) c#(c(x1)) -> a#(b(c(a(x1)))) TRS: a(x1) -> x1 b(a(x1)) -> c(b(x1)) b(x1) -> x1 c(c(x1)) -> a(b(c(a(x1)))) graph: c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> a#(b(c(a(x1)))) c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> b#(c(a(x1))) c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> a#(x1) c#(c(x1)) -> b#(c(a(x1))) -> b#(a(x1)) -> c#(b(x1)) c#(c(x1)) -> b#(c(a(x1))) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) -> c#(c(x1)) -> a#(b(c(a(x1)))) b#(a(x1)) -> c#(b(x1)) -> c#(c(x1)) -> b#(c(a(x1))) b#(a(x1)) -> c#(b(x1)) -> c#(c(x1)) -> c#(a(x1)) b#(a(x1)) -> c#(b(x1)) -> c#(c(x1)) -> a#(x1) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(b(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36 DPs: c#(c(x1)) -> c#(a(x1)) c#(c(x1)) -> b#(c(a(x1))) b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) TRS: a(x1) -> x1 b(a(x1)) -> c(b(x1)) b(x1) -> x1 c(c(x1)) -> a(b(c(a(x1)))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> c(b(x1)) b(x1) -> x1 c(c(x1)) -> a(b(c(a(x1)))) interpretation: [b#](x0) = [0 0]x0 + [1], [0 -&] [0] [b](x0) = [1 0 ]x0 + [0], [c#](x0) = [-& 0 ]x0 + [0], [1 0 ] [0] [a](x0) = [-& 0 ]x0 + [0], [-& 0 ] [0] [c](x0) = [-& 1 ]x0 + [1] orientation: c#(c(x1)) = [-& 1 ]x1 + [1] >= [-& 0 ]x1 + [0] = c#(a(x1)) c#(c(x1)) = [-& 1 ]x1 + [1] >= [-& 1 ]x1 + [1] = b#(c(a(x1))) b#(a(x1)) = [1 0]x1 + [1] >= [0 0]x1 + [1] = b#(x1) b#(a(x1)) = [1 0]x1 + [1] >= [1 0]x1 + [0] = c#(b(x1)) [1 0 ] [0] a(x1) = [-& 0 ]x1 + [0] >= x1 = x1 [1 0] [0] [1 0] [0]
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