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SRS Standard pair #487084388
details
property
value
status
complete
benchmark
size-12-alpha-3-num-429.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.7813 seconds
cpu usage
167.701
user time
164.594
system time
3.10749
max virtual memory
1.1464172E7
max residence set size
101944.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(b(c(x1))) a(b(x1)) -> x1 a(c(b(x1))) -> a(a(a(x1))) Proof: String Reversal Processor: a(x1) -> c(b(b(x1))) b(a(x1)) -> x1 b(c(a(x1))) -> a(a(a(x1))) DP Processor: DPs: a#(x1) -> b#(x1) a#(x1) -> b#(b(x1)) b#(c(a(x1))) -> a#(a(x1)) b#(c(a(x1))) -> a#(a(a(x1))) TRS: a(x1) -> c(b(b(x1))) b(a(x1)) -> x1 b(c(a(x1))) -> a(a(a(x1))) TDG Processor: DPs: a#(x1) -> b#(x1) a#(x1) -> b#(b(x1)) b#(c(a(x1))) -> a#(a(x1)) b#(c(a(x1))) -> a#(a(a(x1))) TRS: a(x1) -> c(b(b(x1))) b(a(x1)) -> x1 b(c(a(x1))) -> a(a(a(x1))) graph: b#(c(a(x1))) -> a#(a(a(x1))) -> a#(x1) -> b#(b(x1)) b#(c(a(x1))) -> a#(a(a(x1))) -> a#(x1) -> b#(x1) b#(c(a(x1))) -> a#(a(x1)) -> a#(x1) -> b#(b(x1)) b#(c(a(x1))) -> a#(a(x1)) -> a#(x1) -> b#(x1) a#(x1) -> b#(b(x1)) -> b#(c(a(x1))) -> a#(a(a(x1))) a#(x1) -> b#(b(x1)) -> b#(c(a(x1))) -> a#(a(x1)) a#(x1) -> b#(x1) -> b#(c(a(x1))) -> a#(a(a(x1))) a#(x1) -> b#(x1) -> b#(c(a(x1))) -> a#(a(x1)) Arctic Interpretation Processor: dimension: 1 usable rules: a(x1) -> c(b(b(x1))) b(a(x1)) -> x1 b(c(a(x1))) -> a(a(a(x1))) interpretation: [b#](x0) = 2x0 + 8, [c](x0) = 3x0 + 0, [a#](x0) = 4x0 + 8, [a](x0) = 1x0 + 11, [b](x0) = -1x0 + 6 orientation: a#(x1) = 4x1 + 8 >= 2x1 + 8 = b#(x1) a#(x1) = 4x1 + 8 >= 1x1 + 8 = b#(b(x1)) b#(c(a(x1))) = 6x1 + 16 >= 5x1 + 15 = a#(a(x1)) b#(c(a(x1))) = 6x1 + 16 >= 6x1 + 16 = a#(a(a(x1))) a(x1) = 1x1 + 11 >= 1x1 + 9 = c(b(b(x1))) b(a(x1)) = x1 + 10 >= x1 = x1 b(c(a(x1))) = 3x1 + 13 >= 3x1 + 13 = a(a(a(x1))) problem: DPs: a#(x1) -> b#(x1) a#(x1) -> b#(b(x1)) b#(c(a(x1))) -> a#(a(a(x1))) TRS: a(x1) -> c(b(b(x1))) b(a(x1)) -> x1 b(c(a(x1))) -> a(a(a(x1))) Restore Modifier: DPs: a#(x1) -> b#(x1) a#(x1) -> b#(b(x1)) b#(c(a(x1))) -> a#(a(a(x1))) TRS: a(x1) -> c(b(b(x1))) b(a(x1)) -> x1 b(c(a(x1))) -> a(a(a(x1))) EDG Processor: DPs: a#(x1) -> b#(x1) a#(x1) -> b#(b(x1)) b#(c(a(x1))) -> a#(a(a(x1))) TRS: a(x1) -> c(b(b(x1))) b(a(x1)) -> x1 b(c(a(x1))) -> a(a(a(x1))) graph: b#(c(a(x1))) -> a#(a(a(x1))) -> a#(x1) -> b#(x1)
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