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SRS Standard pair #487083986
details
property
value
status
complete
benchmark
size-12-alpha-3-num-485.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
46.0801 seconds
cpu usage
180.307
user time
176.608
system time
3.69952
max virtual memory
1.1738788E7
max residence set size
102028.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(x1)) -> a(b(c(c(x1)))) c(a(x1)) -> x1 c(b(x1)) -> a(a(x1)) Proof: DP Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> a#(b(c(c(x1)))) c#(b(x1)) -> a#(x1) c#(b(x1)) -> a#(a(x1)) TRS: a(a(x1)) -> a(b(c(c(x1)))) c(a(x1)) -> x1 c(b(x1)) -> a(a(x1)) TDG Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> a#(b(c(c(x1)))) c#(b(x1)) -> a#(x1) c#(b(x1)) -> a#(a(x1)) TRS: a(a(x1)) -> a(b(c(c(x1)))) c(a(x1)) -> x1 c(b(x1)) -> a(a(x1)) graph: c#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> a#(b(c(c(x1)))) c#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> c#(c(x1)) c#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> c#(x1) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(c(c(x1)))) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(c(x1)) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(a(x1)) a#(a(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(a(x1)) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> a#(b(c(c(x1)))) -> a#(a(x1)) -> a#(b(c(c(x1)))) a#(a(x1)) -> a#(b(c(c(x1)))) -> a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> a#(b(c(c(x1)))) -> a#(a(x1)) -> c#(x1) EDG Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(c(x1)) a#(a(x1)) -> a#(b(c(c(x1)))) c#(b(x1)) -> a#(x1) c#(b(x1)) -> a#(a(x1)) TRS: a(a(x1)) -> a(b(c(c(x1)))) c(a(x1)) -> x1 c(b(x1)) -> a(a(x1)) graph: c#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> c#(x1) c#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> c#(c(x1)) c#(b(x1)) -> a#(a(x1)) -> a#(a(x1)) -> a#(b(c(c(x1)))) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(x1) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(c(x1)) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(c(c(x1)))) a#(a(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(a(x1)) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(x1) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(a(x1)) SCC Processor: #sccs: 1 #rules: 4 #arcs: 10/25 DPs: c#(b(x1)) -> a#(a(x1)) a#(a(x1)) -> c#(c(x1)) c#(b(x1)) -> a#(x1) a#(a(x1)) -> c#(x1) TRS: a(a(x1)) -> a(b(c(c(x1)))) c(a(x1)) -> x1 c(b(x1)) -> a(a(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(a(x1)) -> a(b(c(c(x1)))) c(a(x1)) -> x1 c(b(x1)) -> a(a(x1)) interpretation: [c#](x0) = [0 -&]x0 + [0], [-& 0 ] [0] [c](x0) = [0 -&]x0 + [1], [a#](x0) = [0 -&]x0 + [0], [1 0 ] [2] [a](x0) = [0 -&]x0 + [0], [1 0] [2] [b](x0) = [2 1]x0 + [3] orientation: c#(b(x1)) = [1 0]x1 + [2] >= [1 0]x1 + [2] = a#(a(x1))
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