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SRS Standard pair #487084028
details
property
value
status
complete
benchmark
size-12-alpha-3-num-502.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
45.7774 seconds
cpu usage
259.728
user time
255.675
system time
4.05279
max virtual memory
1.1662108E7
max residence set size
102040.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(x1)) -> b(b(x1)) a(b(x1)) -> c(c(x1)) b(c(x1)) -> a(a(x1)) Proof: String Reversal Processor: a(a(x1)) -> b(b(x1)) b(a(x1)) -> c(c(x1)) c(b(x1)) -> a(a(x1)) DP Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> c#(x1) b#(a(x1)) -> c#(c(x1)) c#(b(x1)) -> a#(x1) c#(b(x1)) -> a#(a(x1)) TRS: a(a(x1)) -> b(b(x1)) b(a(x1)) -> c(c(x1)) c(b(x1)) -> a(a(x1)) TDG Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> c#(x1) b#(a(x1)) -> c#(c(x1)) c#(b(x1)) -> a#(x1) c#(b(x1)) -> a#(a(x1)) TRS: a(a(x1)) -> b(b(x1)) b(a(x1)) -> c(c(x1)) c(b(x1)) -> a(a(x1)) graph: c#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> b#(b(x1)) c#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> b#(x1) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(b(x1)) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(a(x1)) b#(a(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(x1) b#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(a(x1)) b#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(x1) a#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(x1) Arctic Interpretation Processor: dimension: 1 usable rules: a(a(x1)) -> b(b(x1)) b(a(x1)) -> c(c(x1)) c(b(x1)) -> a(a(x1)) interpretation: [b#](x0) = 4x0, [b](x0) = 4x0, [a#](x0) = 4x0, [c#](x0) = 4x0, [a](x0) = 4x0, [c](x0) = 4x0 orientation: a#(a(x1)) = 8x1 >= 4x1 = b#(x1) a#(a(x1)) = 8x1 >= 8x1 = b#(b(x1)) b#(a(x1)) = 8x1 >= 4x1 = c#(x1) b#(a(x1)) = 8x1 >= 8x1 = c#(c(x1)) c#(b(x1)) = 8x1 >= 4x1 = a#(x1) c#(b(x1)) = 8x1 >= 8x1 = a#(a(x1)) a(a(x1)) = 8x1 >= 8x1 = b(b(x1)) b(a(x1)) = 8x1 >= 8x1 = c(c(x1)) c(b(x1)) = 8x1 >= 8x1 = a(a(x1)) problem: DPs: a#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> c#(c(x1)) c#(b(x1)) -> a#(a(x1)) TRS: a(a(x1)) -> b(b(x1)) b(a(x1)) -> c(c(x1)) c(b(x1)) -> a(a(x1)) Restore Modifier: DPs: a#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> c#(c(x1)) c#(b(x1)) -> a#(a(x1)) TRS:
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