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SRS Standard pair #487084088
details
property
value
status
complete
benchmark
size-12-alpha-3-num-375.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)
43.8077 seconds
cpu usage
171.575
user time
168.431
system time
3.14398
max virtual memory
1.0928704E7
max residence set size
149584.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(x1) a(c(x1)) -> c(b(c(b(a(a(x1)))))) b(b(x1)) -> x1 Proof: String Reversal Processor: a(x1) -> b(x1) c(a(x1)) -> a(a(b(c(b(c(x1)))))) b(b(x1)) -> x1 DP Processor: DPs: a#(x1) -> b#(x1) c#(a(x1)) -> c#(x1) c#(a(x1)) -> b#(c(x1)) c#(a(x1)) -> c#(b(c(x1))) c#(a(x1)) -> b#(c(b(c(x1)))) c#(a(x1)) -> a#(b(c(b(c(x1))))) c#(a(x1)) -> a#(a(b(c(b(c(x1)))))) TRS: a(x1) -> b(x1) c(a(x1)) -> a(a(b(c(b(c(x1)))))) b(b(x1)) -> x1 TDG Processor: DPs: a#(x1) -> b#(x1) c#(a(x1)) -> c#(x1) c#(a(x1)) -> b#(c(x1)) c#(a(x1)) -> c#(b(c(x1))) c#(a(x1)) -> b#(c(b(c(x1)))) c#(a(x1)) -> a#(b(c(b(c(x1))))) c#(a(x1)) -> a#(a(b(c(b(c(x1)))))) TRS: a(x1) -> b(x1) c(a(x1)) -> a(a(b(c(b(c(x1)))))) b(b(x1)) -> x1 graph: c#(a(x1)) -> c#(b(c(x1))) -> c#(a(x1)) -> a#(a(b(c(b(c(x1)))))) c#(a(x1)) -> c#(b(c(x1))) -> c#(a(x1)) -> a#(b(c(b(c(x1))))) c#(a(x1)) -> c#(b(c(x1))) -> c#(a(x1)) -> b#(c(b(c(x1)))) c#(a(x1)) -> c#(b(c(x1))) -> c#(a(x1)) -> c#(b(c(x1))) c#(a(x1)) -> c#(b(c(x1))) -> c#(a(x1)) -> b#(c(x1)) c#(a(x1)) -> c#(b(c(x1))) -> c#(a(x1)) -> c#(x1) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> a#(a(b(c(b(c(x1)))))) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> a#(b(c(b(c(x1))))) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> b#(c(b(c(x1)))) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(b(c(x1))) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> b#(c(x1)) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(x1) c#(a(x1)) -> a#(b(c(b(c(x1))))) -> a#(x1) -> b#(x1) c#(a(x1)) -> a#(a(b(c(b(c(x1)))))) -> a#(x1) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 14/49 DPs: c#(a(x1)) -> c#(b(c(x1))) c#(a(x1)) -> c#(x1) TRS: a(x1) -> b(x1) c(a(x1)) -> a(a(b(c(b(c(x1)))))) b(b(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(x1) c(a(x1)) -> a(a(b(c(b(c(x1)))))) b(b(x1)) -> x1 interpretation: [-& 0 ] [0] [b](x0) = [0 0 ]x0 + [1], [c#](x0) = [1 0]x0 + [2], [1 0] [3] [a](x0) = [0 0]x0 + [3], [1 0 ] [0] [c](x0) = [0 -&]x0 + [0] orientation: c#(a(x1)) = [2 1]x1 + [4] >= [1 0]x1 + [2] = c#(b(c(x1))) c#(a(x1)) = [2 1]x1 + [4] >= [1 0]x1 + [2] = c#(x1) [1 0] [3] [-& 0 ] [0] a(x1) = [0 0]x1 + [3] >= [0 0 ]x1 + [1] = b(x1) [2 1] [4] [2 1] [4] c(a(x1)) = [1 0]x1 + [3] >= [1 0]x1 + [3] = a(a(b(c(b(c(x1)))))) [0 0] [1] b(b(x1)) = [0 0]x1 + [1] >= x1 = x1 problem: DPs: TRS: a(x1) -> b(x1) c(a(x1)) -> a(a(b(c(b(c(x1))))))
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