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SRS Standard pair #487083776
details
property
value
status
complete
benchmark
size-12-alpha-3-num-281.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.2967 seconds
cpu usage
165.538
user time
162.843
system time
2.69455
max virtual memory
1.1634756E7
max residence set size
89344.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> c(b(a(a(x1)))) b(x1) -> c(x1) c(c(x1)) -> b(x1) Proof: DP Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> c#(b(a(a(x1)))) b#(x1) -> c#(x1) c#(c(x1)) -> b#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(a(a(x1)))) b(x1) -> c(x1) c(c(x1)) -> b(x1) TDG Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> c#(b(a(a(x1)))) b#(x1) -> c#(x1) c#(c(x1)) -> b#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(a(a(x1)))) b(x1) -> c(x1) c(c(x1)) -> b(x1) graph: c#(c(x1)) -> b#(x1) -> b#(x1) -> c#(x1) b#(x1) -> c#(x1) -> c#(c(x1)) -> b#(x1) a#(b(x1)) -> c#(b(a(a(x1)))) -> c#(c(x1)) -> b#(x1) a#(b(x1)) -> b#(a(a(x1))) -> b#(x1) -> c#(x1) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> c#(b(a(a(x1)))) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(b(a(a(x1)))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(x1) SCC Processor: #sccs: 2 #rules: 4 #arcs: 12/36 DPs: a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(a(a(x1)))) b(x1) -> c(x1) c(c(x1)) -> b(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(b(x1)) -> c(b(a(a(x1)))) b(x1) -> c(x1) c(c(x1)) -> b(x1) interpretation: [0 0] [0] [b](x0) = [1 1]x0 + [1], [a#](x0) = [-& 0 ]x0 + [0], [0 0] [-&] [a](x0) = [0 0]x0 + [0 ], [0 0] [0] [c](x0) = [1 0]x0 + [0] orientation: a#(b(x1)) = [1 1]x1 + [1] >= [0 0]x1 + [0] = a#(a(x1)) a#(b(x1)) = [1 1]x1 + [1] >= [-& 0 ]x1 + [0] = a#(x1) [0 0] [-&] a(x1) = [0 0]x1 + [0 ] >= x1 = x1 [1 1] [1] [1 1] [1] a(b(x1)) = [1 1]x1 + [1] >= [1 1]x1 + [1] = c(b(a(a(x1)))) [0 0] [0] [0 0] [0] b(x1) = [1 1]x1 + [1] >= [1 0]x1 + [0] = c(x1) [1 0] [0] [0 0] [0] c(c(x1)) = [1 1]x1 + [1] >= [1 1]x1 + [1] = b(x1) problem: DPs: TRS: a(x1) -> x1 a(b(x1)) -> c(b(a(a(x1))))
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