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SRS Standard pair #487084730
details
property
value
status
complete
benchmark
size-12-alpha-3-num-203.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.1494 seconds
cpu usage
165.106
user time
162.473
system time
2.63303
max virtual memory
1.1053472E7
max residence set size
101936.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> b(b(a(c(x1)))) b(b(x1)) -> x1 c(c(x1)) -> a(x1) Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(b(x1)) -> x1 c(c(x1)) -> a(x1) DP Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> c#(a(b(b(x1)))) c#(c(x1)) -> a#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(b(x1)) -> x1 c(c(x1)) -> a(x1) TDG Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> c#(a(b(b(x1)))) c#(c(x1)) -> a#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(b(x1)) -> x1 c(c(x1)) -> a(x1) graph: b#(a(x1)) -> c#(a(b(b(x1)))) -> c#(c(x1)) -> a#(x1) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(b(b(x1)))) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(b(x1)))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 9/25 DPs: b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(b(x1)) -> x1 c(c(x1)) -> a(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(b(x1)) -> x1 c(c(x1)) -> a(x1) interpretation: [b#](x0) = [0 -&]x0 + [0], [0 -&] [0] [b](x0) = [1 0 ]x0 + [0], [1 0] [1] [a](x0) = [0 0]x0 + [0], [0 0] [1] [c](x0) = [1 0]x0 + [1] orientation: b#(a(x1)) = [1 0]x1 + [1] >= [0 -&]x1 + [0] = b#(b(x1)) b#(a(x1)) = [1 0]x1 + [1] >= [0 -&]x1 + [0] = b#(x1) [1 0] [1] a(x1) = [0 0]x1 + [0] >= x1 = x1 [1 0] [1] [1 0] [1] b(a(x1)) = [2 1]x1 + [2] >= [2 1]x1 + [2] = c(a(b(b(x1)))) [0 -&] [0] b(b(x1)) = [1 0 ]x1 + [1] >= x1 = x1 [1 0] [1] [1 0] [1] c(c(x1)) = [1 1]x1 + [2] >= [0 0]x1 + [0] = a(x1) problem: DPs: TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1))))
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