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SRS Standard pair #487084850
details
property
value
status
complete
benchmark
size-12-alpha-3-num-360.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.6118 seconds
cpu usage
166.862
user time
163.84
system time
3.02199
max virtual memory
1.1837048E7
max residence set size
102016.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(x1) a(b(b(x1))) -> c(x1) c(c(x1)) -> a(b(c(a(x1)))) Proof: DP Processor: DPs: a#(b(b(x1))) -> c#(x1) c#(c(x1)) -> a#(x1) c#(c(x1)) -> c#(a(x1)) c#(c(x1)) -> a#(b(c(a(x1)))) TRS: a(x1) -> b(x1) a(b(b(x1))) -> c(x1) c(c(x1)) -> a(b(c(a(x1)))) TDG Processor: DPs: a#(b(b(x1))) -> c#(x1) c#(c(x1)) -> a#(x1) c#(c(x1)) -> c#(a(x1)) c#(c(x1)) -> a#(b(c(a(x1)))) TRS: a(x1) -> b(x1) a(b(b(x1))) -> c(x1) c(c(x1)) -> a(b(c(a(x1)))) graph: c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> a#(b(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#(b(c(a(x1)))) -> a#(b(b(x1))) -> c#(x1) c#(c(x1)) -> a#(x1) -> a#(b(b(x1))) -> c#(x1) a#(b(b(x1))) -> c#(x1) -> c#(c(x1)) -> a#(b(c(a(x1)))) a#(b(b(x1))) -> c#(x1) -> c#(c(x1)) -> c#(a(x1)) a#(b(b(x1))) -> c#(x1) -> c#(c(x1)) -> a#(x1) Arctic Interpretation Processor: dimension: 1 usable rules: a(x1) -> b(x1) a(b(b(x1))) -> c(x1) c(c(x1)) -> a(b(c(a(x1)))) interpretation: [c#](x0) = 4x0, [b](x0) = 2x0, [a#](x0) = x0, [a](x0) = 2x0, [c](x0) = 6x0 orientation: a#(b(b(x1))) = 4x1 >= 4x1 = c#(x1) c#(c(x1)) = 10x1 >= x1 = a#(x1) c#(c(x1)) = 10x1 >= 6x1 = c#(a(x1)) c#(c(x1)) = 10x1 >= 10x1 = a#(b(c(a(x1)))) a(x1) = 2x1 >= 2x1 = b(x1) a(b(b(x1))) = 6x1 >= 6x1 = c(x1) c(c(x1)) = 12x1 >= 12x1 = a(b(c(a(x1)))) problem: DPs: a#(b(b(x1))) -> c#(x1) c#(c(x1)) -> a#(b(c(a(x1)))) TRS: a(x1) -> b(x1) a(b(b(x1))) -> c(x1) c(c(x1)) -> a(b(c(a(x1)))) Restore Modifier: DPs: a#(b(b(x1))) -> c#(x1) c#(c(x1)) -> a#(b(c(a(x1)))) TRS: a(x1) -> b(x1) a(b(b(x1))) -> c(x1) c(c(x1)) -> a(b(c(a(x1)))) EDG Processor: DPs: a#(b(b(x1))) -> c#(x1) c#(c(x1)) -> a#(b(c(a(x1)))) TRS: a(x1) -> b(x1) a(b(b(x1))) -> c(x1) c(c(x1)) -> a(b(c(a(x1)))) graph: c#(c(x1)) -> a#(b(c(a(x1)))) -> a#(b(b(x1))) -> c#(x1) a#(b(b(x1))) -> c#(x1) -> c#(c(x1)) -> a#(b(c(a(x1)))) Matrix Interpretation Processor: dim=4 interpretation: [c#](x0) = [1 0 0 0]x0, [0 0 0 0] [0]
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