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SRS Standard pair #487083764
details
property
value
status
complete
benchmark
size-12-alpha-3-num-40.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.9642 seconds
cpu usage
172.109
user time
168.439
system time
3.66928
max virtual memory
1.1730664E7
max residence set size
116464.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(x1) -> b(b(c(x1))) c(c(a(x1))) -> a(a(c(c(x1)))) Proof: DP Processor: DPs: a#(x1) -> c#(x1) c#(c(a(x1))) -> c#(x1) c#(c(a(x1))) -> c#(c(x1)) c#(c(a(x1))) -> a#(c(c(x1))) c#(c(a(x1))) -> a#(a(c(c(x1)))) TRS: a(x1) -> x1 a(x1) -> b(b(c(x1))) c(c(a(x1))) -> a(a(c(c(x1)))) TDG Processor: DPs: a#(x1) -> c#(x1) c#(c(a(x1))) -> c#(x1) c#(c(a(x1))) -> c#(c(x1)) c#(c(a(x1))) -> a#(c(c(x1))) c#(c(a(x1))) -> a#(a(c(c(x1)))) TRS: a(x1) -> x1 a(x1) -> b(b(c(x1))) c(c(a(x1))) -> a(a(c(c(x1)))) graph: c#(c(a(x1))) -> c#(c(x1)) -> c#(c(a(x1))) -> a#(a(c(c(x1)))) c#(c(a(x1))) -> c#(c(x1)) -> c#(c(a(x1))) -> a#(c(c(x1))) c#(c(a(x1))) -> c#(c(x1)) -> c#(c(a(x1))) -> c#(c(x1)) c#(c(a(x1))) -> c#(c(x1)) -> c#(c(a(x1))) -> c#(x1) c#(c(a(x1))) -> c#(x1) -> c#(c(a(x1))) -> a#(a(c(c(x1)))) c#(c(a(x1))) -> c#(x1) -> c#(c(a(x1))) -> a#(c(c(x1))) c#(c(a(x1))) -> c#(x1) -> c#(c(a(x1))) -> c#(c(x1)) c#(c(a(x1))) -> c#(x1) -> c#(c(a(x1))) -> c#(x1) c#(c(a(x1))) -> a#(c(c(x1))) -> a#(x1) -> c#(x1) c#(c(a(x1))) -> a#(a(c(c(x1)))) -> a#(x1) -> c#(x1) a#(x1) -> c#(x1) -> c#(c(a(x1))) -> a#(a(c(c(x1)))) a#(x1) -> c#(x1) -> c#(c(a(x1))) -> a#(c(c(x1))) a#(x1) -> c#(x1) -> c#(c(a(x1))) -> c#(c(x1)) a#(x1) -> c#(x1) -> c#(c(a(x1))) -> c#(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(x1) -> b(b(c(x1))) c(c(a(x1))) -> a(a(c(c(x1)))) interpretation: [c#](x0) = [1 0]x0 + [0], [-& 0 ] [0] [c](x0) = [0 -&]x0 + [0], [a#](x0) = [1 0]x0 + [0], [0 -&] [0] [a](x0) = [2 0 ]x0 + [3], [-& -&] [0] [b](x0) = [0 0 ]x0 + [0] orientation: a#(x1) = [1 0]x1 + [0] >= [1 0]x1 + [0] = c#(x1) c#(c(a(x1))) = [3 1]x1 + [4] >= [1 0]x1 + [0] = c#(x1) c#(c(a(x1))) = [3 1]x1 + [4] >= [0 1]x1 + [1] = c#(c(x1)) c#(c(a(x1))) = [3 1]x1 + [4] >= [1 0]x1 + [1] = a#(c(c(x1))) c#(c(a(x1))) = [3 1]x1 + [4] >= [2 0]x1 + [3] = a#(a(c(c(x1)))) [0 -&] [0] a(x1) = [2 0 ]x1 + [3] >= x1 = x1 [0 -&] [0] [-& -&] [0] a(x1) = [2 0 ]x1 + [3] >= [0 0 ]x1 + [0] = b(b(c(x1))) [0 -&] [0] [0 -&] [0] c(c(a(x1))) = [2 0 ]x1 + [3] >= [2 0 ]x1 + [3] = a(a(c(c(x1)))) problem: DPs: a#(x1) -> c#(x1) c#(c(a(x1))) -> c#(c(x1)) TRS: a(x1) -> x1 a(x1) -> b(b(c(x1))) c(c(a(x1))) -> a(a(c(c(x1)))) Restore Modifier: DPs: a#(x1) -> c#(x1) c#(c(a(x1))) -> c#(c(x1)) TRS: a(x1) -> x1 a(x1) -> b(b(c(x1))) c(c(a(x1))) -> a(a(c(c(x1)))) EDG Processor:
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