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SRS Standard pair #487084502
details
property
value
status
complete
benchmark
size-12-alpha-3-num-232.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.9691 seconds
cpu usage
179.014
user time
175.933
system time
3.08097
max virtual memory
1.1835844E7
max residence set size
102040.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> b(c(a(x1))) c(x1) -> b(x1) c(c(x1)) -> a(c(x1)) Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> a(c(b(x1))) c(x1) -> b(x1) c(c(x1)) -> c(a(x1)) DP Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) b#(a(x1)) -> a#(c(b(x1))) c#(x1) -> b#(x1) c#(c(x1)) -> a#(x1) c#(c(x1)) -> c#(a(x1)) TRS: a(x1) -> x1 b(a(x1)) -> a(c(b(x1))) c(x1) -> b(x1) c(c(x1)) -> c(a(x1)) TDG Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) b#(a(x1)) -> a#(c(b(x1))) c#(x1) -> b#(x1) c#(c(x1)) -> a#(x1) c#(c(x1)) -> c#(a(x1)) TRS: a(x1) -> x1 b(a(x1)) -> a(c(b(x1))) c(x1) -> b(x1) c(c(x1)) -> c(a(x1)) graph: 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)) -> c#(a(x1)) -> c#(x1) -> b#(x1) c#(x1) -> b#(x1) -> b#(a(x1)) -> a#(c(b(x1))) c#(x1) -> b#(x1) -> b#(a(x1)) -> c#(b(x1)) c#(x1) -> b#(x1) -> b#(a(x1)) -> b#(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)) -> c#(b(x1)) -> c#(x1) -> b#(x1) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(c(b(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#(x1) -> b#(x1) b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) TRS: a(x1) -> x1 b(a(x1)) -> a(c(b(x1))) c(x1) -> b(x1) c(c(x1)) -> c(a(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> a(c(b(x1))) c(x1) -> b(x1) c(c(x1)) -> c(a(x1)) interpretation: [b#](x0) = [0 0]x0 + [2], [0 -&] [-&] [b](x0) = [0 -&]x0 + [0 ], [c#](x0) = [0 0]x0 + [2], [1 0] [3] [a](x0) = [0 0]x0 + [0], [0 0] [2] [c](x0) = [1 1]x0 + [3] orientation: c#(c(x1)) = [1 1]x1 + [3] >= [1 0]x1 + [3] = c#(a(x1)) c#(x1) = [0 0]x1 + [2] >= [0 0]x1 + [2] = b#(x1) b#(a(x1)) = [1 0]x1 + [3] >= [0 0]x1 + [2] = b#(x1) b#(a(x1)) = [1 0]x1 + [3] >= [0 -&]x1 + [2] = c#(b(x1)) [1 0] [3] a(x1) = [0 0]x1 + [0] >= x1 = x1 [1 0] [3] [1 -&] [3]
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