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SRS Standard pair #487084604
details
property
value
status
complete
benchmark
size-12-alpha-3-num-86.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)
44.9352 seconds
cpu usage
175.595
user time
171.665
system time
3.93037
max virtual memory
1.1829228E7
max residence set size
102396.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(x1)) -> b(a(c(b(x1)))) b(x1) -> c(x1) b(c(x1)) -> a(x1) Proof: String Reversal Processor: a(x1) -> x1 a(a(x1)) -> b(c(a(b(x1)))) b(x1) -> c(x1) c(b(x1)) -> a(x1) DP Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> c#(a(b(x1))) a#(a(x1)) -> b#(c(a(b(x1)))) b#(x1) -> c#(x1) c#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(a(x1)) -> b(c(a(b(x1)))) b(x1) -> c(x1) c(b(x1)) -> a(x1) TDG Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> c#(a(b(x1))) a#(a(x1)) -> b#(c(a(b(x1)))) b#(x1) -> c#(x1) c#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(a(x1)) -> b(c(a(b(x1)))) b(x1) -> c(x1) c(b(x1)) -> a(x1) graph: c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(c(a(b(x1)))) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(a(b(x1))) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(x1)) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(x1) b#(x1) -> c#(x1) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> c#(a(b(x1))) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> b#(c(a(b(x1)))) -> b#(x1) -> c#(x1) a#(a(x1)) -> b#(x1) -> b#(x1) -> c#(x1) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> b#(c(a(b(x1)))) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> c#(a(b(x1))) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> b#(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(a(x1)) -> b(c(a(b(x1)))) b(x1) -> c(x1) c(b(x1)) -> a(x1) interpretation: [b#](x0) = [0 0]x0 + [0], [1 0] [0] [b](x0) = [1 0]x0 + [0], [a#](x0) = [0 0]x0 + [0], [c#](x0) = [0 -&]x0 + [0], [0 0] [-&] [a](x0) = [2 1]x0 + [1 ], [0 -&] [c](x0) = [1 -&]x0 orientation: a#(a(x1)) = [2 1]x1 + [1] >= [0 0]x1 + [0] = b#(x1) a#(a(x1)) = [2 1]x1 + [1] >= [1 0]x1 + [0] = a#(b(x1)) a#(a(x1)) = [2 1]x1 + [1] >= [1 0]x1 + [0] = c#(a(b(x1))) a#(a(x1)) = [2 1]x1 + [1] >= [2 1]x1 + [1] = b#(c(a(b(x1)))) b#(x1) = [0 0]x1 + [0] >= [0 -&]x1 + [0] = c#(x1) c#(b(x1)) = [1 0]x1 + [0] >= [0 0]x1 + [0] = a#(x1) [0 0] [-&] a(x1) = [2 1]x1 + [1 ] >= x1 = x1 [2 1] [1] [2 1] [1] a(a(x1)) = [3 2]x1 + [2] >= [2 1]x1 + [1] = b(c(a(b(x1)))) [1 0] [0] [0 -&] b(x1) = [1 0]x1 + [0] >= [1 -&]x1 = c(x1) [1 0] [0] [0 0] [-&] c(b(x1)) = [2 1]x1 + [1] >= [2 1]x1 + [1 ] = a(x1) problem:
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