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SRS Standard pair #487083968
details
property
value
status
complete
benchmark
size-12-alpha-3-num-201.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)
44.2041 seconds
cpu usage
173.143
user time
169.362
system time
3.78035
max virtual memory
1.1828252E7
max residence set size
89656.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> b(b(a(c(x1)))) b(x1) -> x1 c(c(x1)) -> b(a(x1)) Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> x1 c(c(x1)) -> a(b(x1)) DP Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> c#(a(b(b(x1)))) c#(c(x1)) -> b#(x1) c#(c(x1)) -> a#(b(x1)) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> x1 c(c(x1)) -> a(b(x1)) TDG Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> c#(a(b(b(x1)))) c#(c(x1)) -> b#(x1) c#(c(x1)) -> a#(b(x1)) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> x1 c(c(x1)) -> a(b(x1)) graph: c#(c(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(b(x1)))) c#(c(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(b(x1))) c#(c(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(x1)) c#(c(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(a(b(b(x1)))) -> c#(c(x1)) -> a#(b(x1)) b#(a(x1)) -> c#(a(b(b(x1)))) -> c#(c(x1)) -> b#(x1) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(b(b(x1)))) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(b(x1)))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 14/36 DPs: c#(c(x1)) -> b#(x1) b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> c#(a(b(b(x1)))) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> x1 c(c(x1)) -> a(b(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> x1 c(c(x1)) -> a(b(x1)) interpretation: [b#](x0) = [0 0]x0, [0 0] [b](x0) = [0 0]x0, [c#](x0) = [-& 0 ]x0 + [0], [1 1] [0 ] [a](x0) = [0 0]x0 + [-&], [-& 1 ] [0] [c](x0) = [0 0 ]x0 + [0] orientation: c#(c(x1)) = [0 0]x1 + [0] >= [0 0]x1 = b#(x1) b#(a(x1)) = [1 1]x1 + [0] >= [0 0]x1 = b#(x1) b#(a(x1)) = [1 1]x1 + [0] >= [0 0]x1 = b#(b(x1)) b#(a(x1)) = [1 1]x1 + [0] >= [0 0]x1 + [0] = c#(a(b(b(x1)))) [1 1] [0 ] a(x1) = [0 0]x1 + [-&] >= x1 = x1
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