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SRS Standard pair #487085342
details
property
value
status
complete
benchmark
size-12-alpha-3-num-1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.3229 seconds
cpu usage
169.215
user time
165.737
system time
3.47716
max virtual memory
1.097482E7
max residence set size
89424.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(x1) -> b(x1) a(b(x1)) -> b(a(c(x1))) b(x1) -> x1 c(c(x1)) -> a(x1) Proof: String Reversal Processor: a(x1) -> x1 a(x1) -> b(x1) b(a(x1)) -> c(a(b(x1))) b(x1) -> x1 c(c(x1)) -> a(x1) DP Processor: DPs: a#(x1) -> b#(x1) b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> c#(a(b(x1))) c#(c(x1)) -> a#(x1) TRS: a(x1) -> x1 a(x1) -> b(x1) b(a(x1)) -> c(a(b(x1))) b(x1) -> x1 c(c(x1)) -> a(x1) TDG Processor: DPs: a#(x1) -> b#(x1) b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> c#(a(b(x1))) c#(c(x1)) -> a#(x1) TRS: a(x1) -> x1 a(x1) -> b(x1) b(a(x1)) -> c(a(b(x1))) b(x1) -> x1 c(c(x1)) -> a(x1) graph: c#(c(x1)) -> a#(x1) -> a#(x1) -> b#(x1) b#(a(x1)) -> c#(a(b(x1))) -> c#(c(x1)) -> a#(x1) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(x1))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) -> a#(x1) -> b#(x1) a#(x1) -> b#(x1) -> b#(a(x1)) -> c#(a(b(x1))) a#(x1) -> b#(x1) -> b#(a(x1)) -> a#(b(x1)) a#(x1) -> b#(x1) -> b#(a(x1)) -> b#(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(x1) -> b(x1) b(a(x1)) -> c(a(b(x1))) b(x1) -> x1 c(c(x1)) -> a(x1) interpretation: [b#](x0) = [2 0]x0 + [0], [0 -&] [1] [b](x0) = [1 0 ]x0 + [0], [a#](x0) = [2 2]x0 + [0], [c#](x0) = [-& 1 ]x0 + [0], [1 0] [2] [a](x0) = [1 0]x0 + [1], [0 0] [2 ] [c](x0) = [1 1]x0 + [-&] orientation: a#(x1) = [2 2]x1 + [0] >= [2 0]x1 + [0] = b#(x1) b#(a(x1)) = [3 2]x1 + [4] >= [2 0]x1 + [0] = b#(x1) b#(a(x1)) = [3 2]x1 + [4] >= [3 2]x1 + [3] = a#(b(x1)) b#(a(x1)) = [3 2]x1 + [4] >= [2 1]x1 + [3] = c#(a(b(x1))) c#(c(x1)) = [2 2]x1 + [0] >= [2 2]x1 + [0] = a#(x1) [1 0] [2] a(x1) = [1 0]x1 + [1] >= x1 = x1 [1 0] [2] [0 -&] [1] a(x1) = [1 0]x1 + [1] >= [1 0 ]x1 + [0] = b(x1) [1 0] [2] [1 0] [2] b(a(x1)) = [2 1]x1 + [3] >= [2 1]x1 + [3] = c(a(b(x1))) [0 -&] [1] b(x1) = [1 0 ]x1 + [0] >= x1 = x1 [1 1] [2] [1 0] [2] c(c(x1)) = [2 2]x1 + [3] >= [1 0]x1 + [1] = a(x1)
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