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SRS Standard pair #487083812
details
property
value
status
complete
benchmark
size-12-alpha-3-num-479.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
45.9919 seconds
cpu usage
180.683
user time
176.738
system time
3.94508
max virtual memory
1.1840208E7
max residence set size
101884.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(x1)) -> a(b(b(c(x1)))) b(c(x1)) -> x1 c(b(x1)) -> a(c(x1)) Proof: DP Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> b#(c(x1)) a#(a(x1)) -> b#(b(c(x1))) a#(a(x1)) -> a#(b(b(c(x1)))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(a(x1)) -> a(b(b(c(x1)))) b(c(x1)) -> x1 c(b(x1)) -> a(c(x1)) TDG Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> b#(c(x1)) a#(a(x1)) -> b#(b(c(x1))) a#(a(x1)) -> a#(b(b(c(x1)))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(a(x1)) -> a(b(b(c(x1)))) b(c(x1)) -> x1 c(b(x1)) -> a(c(x1)) graph: c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(b(c(x1)))) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> b#(b(c(x1))) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> b#(c(x1)) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) a#(a(x1)) -> a#(b(b(c(x1)))) -> a#(a(x1)) -> a#(b(b(c(x1)))) a#(a(x1)) -> a#(b(b(c(x1)))) -> a#(a(x1)) -> b#(b(c(x1))) a#(a(x1)) -> a#(b(b(c(x1)))) -> a#(a(x1)) -> b#(c(x1)) a#(a(x1)) -> a#(b(b(c(x1)))) -> a#(a(x1)) -> c#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36 DPs: c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) a#(a(x1)) -> c#(x1) a#(a(x1)) -> a#(b(b(c(x1)))) TRS: a(a(x1)) -> a(b(b(c(x1)))) b(c(x1)) -> x1 c(b(x1)) -> a(c(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(a(x1)) -> a(b(b(c(x1)))) b(c(x1)) -> x1 c(b(x1)) -> a(c(x1)) interpretation: [c#](x0) = [2 0]x0 + [0], [-& 0 ] [0 ] [c](x0) = [0 -&]x0 + [-&], [a#](x0) = [0 -&]x0 + [0], [2 0 ] [2] [a](x0) = [0 -&]x0 + [0], [0 0] [0] [b](x0) = [0 2]x0 + [2] orientation: c#(b(x1)) = [2 2]x1 + [2] >= [2 0]x1 + [0] = c#(x1) c#(b(x1)) = [2 2]x1 + [2] >= [-& 0 ]x1 + [0] = a#(c(x1)) a#(a(x1)) = [2 0]x1 + [2] >= [2 0]x1 + [0] = c#(x1) a#(a(x1)) = [2 0]x1 + [2] >= [2 0]x1 + [2] = a#(b(b(c(x1)))) [4 2] [4] [4 2] [4] a(a(x1)) = [2 0]x1 + [2] >= [2 0]x1 + [2] = a(b(b(c(x1)))) [0 0] [0] b(c(x1)) = [2 0]x1 + [2] >= x1 = x1 [0 2] [2] [0 2 ] [2] c(b(x1)) = [0 0]x1 + [0] >= [-& 0 ]x1 + [0] = a(c(x1)) problem: DPs: c#(b(x1)) -> c#(x1) a#(a(x1)) -> c#(x1) a#(a(x1)) -> a#(b(b(c(x1)))) TRS:
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