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SRS Standard pair #487092158
details
property
value
status
complete
benchmark
size-11-alpha-3-num-7.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
Waldmann_07_size11
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.3176 seconds
cpu usage
169.505
user time
166.417
system time
3.08843
max virtual memory
1.1645964E7
max residence set size
132652.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(c(x1))) -> c(c(b(b(a(x1))))) b(x1) -> a(x1) Proof: String Reversal Processor: a(x1) -> x1 c(b(a(x1))) -> a(b(b(c(c(x1))))) b(x1) -> a(x1) DP Processor: DPs: c#(b(a(x1))) -> c#(x1) c#(b(a(x1))) -> c#(c(x1)) c#(b(a(x1))) -> b#(c(c(x1))) c#(b(a(x1))) -> b#(b(c(c(x1)))) c#(b(a(x1))) -> a#(b(b(c(c(x1))))) b#(x1) -> a#(x1) TRS: a(x1) -> x1 c(b(a(x1))) -> a(b(b(c(c(x1))))) b(x1) -> a(x1) TDG Processor: DPs: c#(b(a(x1))) -> c#(x1) c#(b(a(x1))) -> c#(c(x1)) c#(b(a(x1))) -> b#(c(c(x1))) c#(b(a(x1))) -> b#(b(c(c(x1)))) c#(b(a(x1))) -> a#(b(b(c(c(x1))))) b#(x1) -> a#(x1) TRS: a(x1) -> x1 c(b(a(x1))) -> a(b(b(c(c(x1))))) b(x1) -> a(x1) graph: c#(b(a(x1))) -> b#(b(c(c(x1)))) -> b#(x1) -> a#(x1) c#(b(a(x1))) -> b#(c(c(x1))) -> b#(x1) -> a#(x1) c#(b(a(x1))) -> c#(c(x1)) -> c#(b(a(x1))) -> a#(b(b(c(c(x1))))) c#(b(a(x1))) -> c#(c(x1)) -> c#(b(a(x1))) -> b#(b(c(c(x1)))) c#(b(a(x1))) -> c#(c(x1)) -> c#(b(a(x1))) -> b#(c(c(x1))) c#(b(a(x1))) -> c#(c(x1)) -> c#(b(a(x1))) -> c#(c(x1)) c#(b(a(x1))) -> c#(c(x1)) -> c#(b(a(x1))) -> c#(x1) c#(b(a(x1))) -> c#(x1) -> c#(b(a(x1))) -> a#(b(b(c(c(x1))))) c#(b(a(x1))) -> c#(x1) -> c#(b(a(x1))) -> b#(b(c(c(x1)))) c#(b(a(x1))) -> c#(x1) -> c#(b(a(x1))) -> b#(c(c(x1))) c#(b(a(x1))) -> c#(x1) -> c#(b(a(x1))) -> c#(c(x1)) c#(b(a(x1))) -> c#(x1) -> c#(b(a(x1))) -> c#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 12/36 DPs: c#(b(a(x1))) -> c#(c(x1)) c#(b(a(x1))) -> c#(x1) TRS: a(x1) -> x1 c(b(a(x1))) -> a(b(b(c(c(x1))))) b(x1) -> a(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 c(b(a(x1))) -> a(b(b(c(c(x1))))) b(x1) -> a(x1) interpretation: [c#](x0) = [-& 0 ]x0 + [0], [0 0] [0] [c](x0) = [0 0]x0 + [0], [0 0 ] [0] [a](x0) = [-& 0 ]x0 + [2], [0 0] [1] [b](x0) = [2 0]x0 + [3] orientation: c#(b(a(x1))) = [2 2]x1 + [3] >= [0 0]x1 + [0] = c#(c(x1)) c#(b(a(x1))) = [2 2]x1 + [3] >= [-& 0 ]x1 + [0] = c#(x1) [0 0 ] [0] a(x1) = [-& 0 ]x1 + [2] >= x1 = x1 [2 2] [3] [2 2] [3] c(b(a(x1))) = [2 2]x1 + [3] >= [2 2]x1 + [3] = a(b(b(c(c(x1))))) [0 0] [1] [0 0 ] [0] b(x1) = [2 0]x1 + [3] >= [-& 0 ]x1 + [2] = a(x1) problem: DPs: TRS: a(x1) -> x1 c(b(a(x1))) -> a(b(b(c(c(x1))))) b(x1) -> a(x1) Qed
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