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SRS Standard pair #487085438
details
property
value
status
complete
benchmark
size-12-alpha-3-num-71.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)
42.3201 seconds
cpu usage
221.496
user time
218.167
system time
3.32892
max virtual memory
1.0878272E7
max residence set size
101896.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> x1 b(c(x1)) -> c(c(c(b(a(x1))))) Proof: String Reversal Processor: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> x1 c(b(x1)) -> a(b(c(c(c(x1))))) DP Processor: DPs: a#(a(x1)) -> b#(x1) c#(b(x1)) -> c#(x1) c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> c#(c(c(x1))) c#(b(x1)) -> b#(c(c(c(x1)))) c#(b(x1)) -> a#(b(c(c(c(x1))))) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> x1 c(b(x1)) -> a(b(c(c(c(x1))))) TDG Processor: DPs: a#(a(x1)) -> b#(x1) c#(b(x1)) -> c#(x1) c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> c#(c(c(x1))) c#(b(x1)) -> b#(c(c(c(x1)))) c#(b(x1)) -> a#(b(c(c(c(x1))))) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> x1 c(b(x1)) -> a(b(c(c(c(x1))))) graph: c#(b(x1)) -> c#(c(c(x1))) -> c#(b(x1)) -> a#(b(c(c(c(x1))))) c#(b(x1)) -> c#(c(c(x1))) -> c#(b(x1)) -> b#(c(c(c(x1)))) c#(b(x1)) -> c#(c(c(x1))) -> c#(b(x1)) -> c#(c(c(x1))) c#(b(x1)) -> c#(c(c(x1))) -> c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> c#(c(c(x1))) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(b(c(c(c(x1))))) c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> b#(c(c(c(x1)))) c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> c#(c(c(x1))) c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(b(c(c(c(x1))))) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> b#(c(c(c(x1)))) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(c(c(x1))) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(b(c(c(c(x1))))) -> a#(a(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 16/36 DPs: c#(b(x1)) -> c#(c(c(x1))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> c#(c(x1)) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> x1 c(b(x1)) -> a(b(c(c(c(x1))))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> x1 c(b(x1)) -> a(b(c(c(c(x1))))) interpretation: [0 0] [0] [b](x0) = [2 2]x0 + [2], [c#](x0) = [-& 0 ]x0 + [0], [2 0] [0] [a](x0) = [2 0]x0 + [0], [0 0 ] [0] [c](x0) = [-& 0 ]x0 + [0] orientation: c#(b(x1)) = [2 2]x1 + [2] >= [-& 0 ]x1 + [0] = c#(c(c(x1))) c#(b(x1)) = [2 2]x1 + [2] >= [-& 0 ]x1 + [0] = c#(x1) c#(b(x1)) = [2 2]x1 + [2] >= [-& 0 ]x1 + [0] = c#(c(x1)) [2 0] [0] a(x1) = [2 0]x1 + [0] >= x1 = x1 [4 2] [2] [0 0] [0] a(a(x1)) = [4 2]x1 + [2] >= [2 2]x1 + [2] = b(x1)
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