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SRS Standard pair #487084334
details
property
value
status
complete
benchmark
size-12-alpha-3-num-4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
46.644 seconds
cpu usage
184.184
user time
179.817
system time
4.36695
max virtual memory
1.183008E7
max residence set size
102044.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(x1) -> b(x1) a(b(x1)) -> b(c(x1)) c(c(x1)) -> a(c(a(x1))) Proof: DP Processor: DPs: a#(b(x1)) -> c#(x1) c#(c(x1)) -> a#(x1) c#(c(x1)) -> c#(a(x1)) c#(c(x1)) -> a#(c(a(x1))) TRS: a(x1) -> x1 a(x1) -> b(x1) a(b(x1)) -> b(c(x1)) c(c(x1)) -> a(c(a(x1))) TDG Processor: DPs: a#(b(x1)) -> c#(x1) c#(c(x1)) -> a#(x1) c#(c(x1)) -> c#(a(x1)) c#(c(x1)) -> a#(c(a(x1))) TRS: a(x1) -> x1 a(x1) -> b(x1) a(b(x1)) -> b(c(x1)) c(c(x1)) -> a(c(a(x1))) graph: c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> a#(c(a(x1))) c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> a#(x1) c#(c(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> c#(x1) c#(c(x1)) -> a#(x1) -> a#(b(x1)) -> c#(x1) a#(b(x1)) -> c#(x1) -> c#(c(x1)) -> a#(c(a(x1))) a#(b(x1)) -> c#(x1) -> c#(c(x1)) -> c#(a(x1)) a#(b(x1)) -> c#(x1) -> c#(c(x1)) -> a#(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(x1) -> b(x1) a(b(x1)) -> b(c(x1)) c(c(x1)) -> a(c(a(x1))) interpretation: [c#](x0) = [0 -&]x0 + [0], [-& -&] [0] [b](x0) = [0 0 ]x0 + [1], [a#](x0) = [-& 0 ]x0 + [2], [0 -&] [1] [a](x0) = [0 1 ]x0 + [1], [1 0 ] [2] [c](x0) = [1 -&]x0 + [0] orientation: a#(b(x1)) = [0 0]x1 + [2] >= [0 -&]x1 + [0] = c#(x1) c#(c(x1)) = [1 0]x1 + [2] >= [-& 0 ]x1 + [2] = a#(x1) c#(c(x1)) = [1 0]x1 + [2] >= [0 -&]x1 + [1] = c#(a(x1)) c#(c(x1)) = [1 0]x1 + [2] >= [1 -&]x1 + [2] = a#(c(a(x1))) [0 -&] [1] a(x1) = [0 1 ]x1 + [1] >= x1 = x1 [0 -&] [1] [-& -&] [0] a(x1) = [0 1 ]x1 + [1] >= [0 0 ]x1 + [1] = b(x1) [-& -&] [1] [-& -&] [0] a(b(x1)) = [1 1 ]x1 + [2] >= [1 0 ]x1 + [2] = b(c(x1)) [2 1] [3] [1 1] [2] c(c(x1)) = [2 1]x1 + [3] >= [2 1]x1 + [3] = a(c(a(x1))) problem: DPs: a#(b(x1)) -> c#(x1) c#(c(x1)) -> a#(x1) c#(c(x1)) -> a#(c(a(x1))) TRS: a(x1) -> x1 a(x1) -> b(x1) a(b(x1)) -> b(c(x1)) c(c(x1)) -> a(c(a(x1))) Restore Modifier: DPs: a#(b(x1)) -> c#(x1) c#(c(x1)) -> a#(x1) c#(c(x1)) -> a#(c(a(x1))) TRS: a(x1) -> x1 a(x1) -> b(x1) a(b(x1)) -> b(c(x1)) c(c(x1)) -> a(c(a(x1)))
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