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SRS Standard pair #487092092
details
property
value
status
complete
benchmark
size-11-alpha-3-num-11.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Waldmann_07_size11
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.0386 seconds
cpu usage
168.532
user time
165.443
system time
3.08943
max virtual memory
1.0936976E7
max residence set size
101976.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(x1) a(c(x1)) -> c(c(a(b(x1)))) b(b(x1)) -> a(x1) Proof: String Reversal Processor: a(x1) -> b(x1) c(a(x1)) -> b(a(c(c(x1)))) b(b(x1)) -> a(x1) DP Processor: DPs: a#(x1) -> b#(x1) c#(a(x1)) -> c#(x1) c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> a#(c(c(x1))) c#(a(x1)) -> b#(a(c(c(x1)))) b#(b(x1)) -> a#(x1) TRS: a(x1) -> b(x1) c(a(x1)) -> b(a(c(c(x1)))) b(b(x1)) -> a(x1) TDG Processor: DPs: a#(x1) -> b#(x1) c#(a(x1)) -> c#(x1) c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> a#(c(c(x1))) c#(a(x1)) -> b#(a(c(c(x1)))) b#(b(x1)) -> a#(x1) TRS: a(x1) -> b(x1) c(a(x1)) -> b(a(c(c(x1)))) b(b(x1)) -> a(x1) graph: c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> b#(a(c(c(x1)))) c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> a#(c(c(x1))) c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> c#(x1) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> b#(a(c(c(x1)))) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> a#(c(c(x1))) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(x1) c#(a(x1)) -> b#(a(c(c(x1)))) -> b#(b(x1)) -> a#(x1) c#(a(x1)) -> a#(c(c(x1))) -> a#(x1) -> b#(x1) b#(b(x1)) -> a#(x1) -> a#(x1) -> b#(x1) a#(x1) -> b#(x1) -> b#(b(x1)) -> a#(x1) SCC Processor: #sccs: 2 #rules: 4 #arcs: 12/36 DPs: c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> c#(x1) TRS: a(x1) -> b(x1) c(a(x1)) -> b(a(c(c(x1)))) b(b(x1)) -> a(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(x1) c(a(x1)) -> b(a(c(c(x1)))) b(b(x1)) -> a(x1) interpretation: [0 1 ] [1 ] [b](x0) = [0 -&]x0 + [-&], [c#](x0) = [0 0]x0, [1 1] [1 ] [a](x0) = [0 0]x0 + [-&], [0 0] [-&] [c](x0) = [0 0]x0 + [0 ] orientation: c#(a(x1)) = [1 1]x1 + [1] >= [0 0]x1 + [0] = c#(c(x1)) c#(a(x1)) = [1 1]x1 + [1] >= [0 0]x1 = c#(x1) [1 1] [1 ] [0 1 ] [1 ] a(x1) = [0 0]x1 + [-&] >= [0 -&]x1 + [-&] = b(x1) [1 1] [1] [1 1] [1] c(a(x1)) = [1 1]x1 + [1] >= [1 1]x1 + [1] = b(a(c(c(x1)))) [1 1] [1] [1 1] [1 ] b(b(x1)) = [0 1]x1 + [1] >= [0 0]x1 + [-&] = a(x1) problem: DPs: TRS: a(x1) -> b(x1) c(a(x1)) -> b(a(c(c(x1)))) b(b(x1)) -> a(x1) Qed DPs:
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