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SRS Standard pair #487084022
details
property
value
status
complete
benchmark
size-12-alpha-3-num-64.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
45.3094 seconds
cpu usage
180.065
user time
176.814
system time
3.25092
max virtual memory
1.0472608E7
max residence set size
102076.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(x1)) -> a(b(c(a(x1)))) c(b(x1)) -> a(b(a(x1))) Proof: String Reversal Processor: a(x1) -> x1 a(a(x1)) -> a(c(b(a(x1)))) b(c(x1)) -> a(b(a(x1))) DP Processor: DPs: a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(c(b(a(x1)))) b#(c(x1)) -> a#(x1) b#(c(x1)) -> b#(a(x1)) b#(c(x1)) -> a#(b(a(x1))) TRS: a(x1) -> x1 a(a(x1)) -> a(c(b(a(x1)))) b(c(x1)) -> a(b(a(x1))) TDG Processor: DPs: a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(c(b(a(x1)))) b#(c(x1)) -> a#(x1) b#(c(x1)) -> b#(a(x1)) b#(c(x1)) -> a#(b(a(x1))) TRS: a(x1) -> x1 a(a(x1)) -> a(c(b(a(x1)))) b(c(x1)) -> a(b(a(x1))) graph: b#(c(x1)) -> b#(a(x1)) -> b#(c(x1)) -> a#(b(a(x1))) b#(c(x1)) -> b#(a(x1)) -> b#(c(x1)) -> b#(a(x1)) b#(c(x1)) -> b#(a(x1)) -> b#(c(x1)) -> a#(x1) b#(c(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> a#(c(b(a(x1)))) b#(c(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(a(x1)) b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> a#(c(b(a(x1)))) b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> b#(a(x1)) -> b#(c(x1)) -> a#(b(a(x1))) a#(a(x1)) -> b#(a(x1)) -> b#(c(x1)) -> b#(a(x1)) a#(a(x1)) -> b#(a(x1)) -> b#(c(x1)) -> a#(x1) a#(a(x1)) -> a#(c(b(a(x1)))) -> a#(a(x1)) -> a#(c(b(a(x1)))) a#(a(x1)) -> a#(c(b(a(x1)))) -> a#(a(x1)) -> b#(a(x1)) EDG Processor: DPs: a#(a(x1)) -> b#(a(x1)) a#(a(x1)) -> a#(c(b(a(x1)))) b#(c(x1)) -> a#(x1) b#(c(x1)) -> b#(a(x1)) b#(c(x1)) -> a#(b(a(x1))) TRS: a(x1) -> x1 a(a(x1)) -> a(c(b(a(x1)))) b(c(x1)) -> a(b(a(x1))) graph: b#(c(x1)) -> b#(a(x1)) -> b#(c(x1)) -> a#(x1) b#(c(x1)) -> b#(a(x1)) -> b#(c(x1)) -> b#(a(x1)) b#(c(x1)) -> b#(a(x1)) -> b#(c(x1)) -> a#(b(a(x1))) b#(c(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(a(x1)) b#(c(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> a#(c(b(a(x1)))) b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> b#(a(x1)) b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> a#(c(b(a(x1)))) a#(a(x1)) -> b#(a(x1)) -> b#(c(x1)) -> a#(x1) a#(a(x1)) -> b#(a(x1)) -> b#(c(x1)) -> b#(a(x1)) a#(a(x1)) -> b#(a(x1)) -> b#(c(x1)) -> a#(b(a(x1))) SCC Processor: #sccs: 1 #rules: 4 #arcs: 10/25 DPs: b#(c(x1)) -> b#(a(x1)) b#(c(x1)) -> a#(b(a(x1))) a#(a(x1)) -> b#(a(x1)) b#(c(x1)) -> a#(x1) TRS: a(x1) -> x1 a(a(x1)) -> a(c(b(a(x1)))) b(c(x1)) -> a(b(a(x1))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(a(x1)) -> a(c(b(a(x1)))) b(c(x1)) -> a(b(a(x1))) interpretation: [b#](x0) = [0 0]x0 + [0], [1 1] [3] [c](x0) = [1 1]x0 + [0], [a#](x0) = [0 0]x0 + [0], [0 0] [0] [a](x0) = [1 1]x0 + [3], [0 -&] [0]
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