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SRS Standard pair #487084034
details
property
value
status
complete
benchmark
size-12-alpha-3-num-163.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
44.8068 seconds
cpu usage
175.73
user time
172.22
system time
3.51
max virtual memory
1.1828752E7
max residence set size
89464.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> b(a(c(x1))) b(x1) -> x1 c(c(x1)) -> b(b(a(x1))) Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> c(a(b(x1))) b(x1) -> x1 c(c(x1)) -> a(b(b(x1))) DP Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> c#(a(b(x1))) c#(c(x1)) -> b#(x1) c#(c(x1)) -> b#(b(x1)) c#(c(x1)) -> a#(b(b(x1))) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(x1))) b(x1) -> x1 c(c(x1)) -> a(b(b(x1))) TDG Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> c#(a(b(x1))) c#(c(x1)) -> b#(x1) c#(c(x1)) -> b#(b(x1)) c#(c(x1)) -> a#(b(b(x1))) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(x1))) b(x1) -> x1 c(c(x1)) -> a(b(b(x1))) graph: c#(c(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(b(x1))) c#(c(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(b(x1)) c#(c(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(x1) c#(c(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(x1))) c#(c(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(x1)) c#(c(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(a(b(x1))) -> c#(c(x1)) -> a#(b(b(x1))) b#(a(x1)) -> c#(a(b(x1))) -> c#(c(x1)) -> b#(b(x1)) b#(a(x1)) -> c#(a(b(x1))) -> c#(c(x1)) -> b#(x1) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(x1))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36 DPs: c#(c(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(a(b(x1))) c#(c(x1)) -> b#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(x1))) b(x1) -> x1 c(c(x1)) -> a(b(b(x1))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> c(a(b(x1))) b(x1) -> x1 c(c(x1)) -> a(b(b(x1))) interpretation: [b#](x0) = [0 0]x0 + [0], [0 -&] [0] [b](x0) = [2 0 ]x0 + [1], [c#](x0) = [0 0]x0 + [0], [2 0] [3] [a](x0) = [0 0]x0 + [3], [0 0] [3 ] [c](x0) = [2 2]x0 + [-&] orientation: c#(c(x1)) = [2 2]x1 + [3] >= [2 0]x1 + [1] = b#(b(x1)) b#(a(x1)) = [2 0]x1 + [3] >= [0 0]x1 + [0] = b#(x1) b#(a(x1)) = [2 0]x1 + [3] >= [2 0]x1 + [3] = c#(a(b(x1))) c#(c(x1)) = [2 2]x1 + [3] >= [0 0]x1 + [0] = b#(x1) [2 0] [3] a(x1) = [0 0]x1 + [3] >= x1 = x1 [2 0] [3] [2 0] [3]
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