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SRS Standard pair #487084370
details
property
value
status
complete
benchmark
size-12-alpha-3-num-19.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.1287 seconds
cpu usage
165.097
user time
162.618
system time
2.47865
max virtual memory
1.1442552E7
max residence set size
101744.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(x1) -> b(x1) b(a(c(x1))) -> c(c(a(a(x1)))) c(x1) -> b(x1) Proof: String Reversal Processor: a(x1) -> x1 a(x1) -> b(x1) c(a(b(x1))) -> a(a(c(c(x1)))) c(x1) -> b(x1) DP Processor: DPs: c#(a(b(x1))) -> c#(x1) c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> a#(c(c(x1))) c#(a(b(x1))) -> a#(a(c(c(x1)))) TRS: a(x1) -> x1 a(x1) -> b(x1) c(a(b(x1))) -> a(a(c(c(x1)))) c(x1) -> b(x1) TDG Processor: DPs: c#(a(b(x1))) -> c#(x1) c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> a#(c(c(x1))) c#(a(b(x1))) -> a#(a(c(c(x1)))) TRS: a(x1) -> x1 a(x1) -> b(x1) c(a(b(x1))) -> a(a(c(c(x1)))) c(x1) -> b(x1) graph: c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> a#(a(c(c(x1)))) c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> a#(c(c(x1))) c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> c#(x1) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> a#(a(c(c(x1)))) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> a#(c(c(x1))) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> c#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 8/16 DPs: c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> c#(x1) TRS: a(x1) -> x1 a(x1) -> b(x1) c(a(b(x1))) -> a(a(c(c(x1)))) c(x1) -> b(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(x1) -> b(x1) c(a(b(x1))) -> a(a(c(c(x1)))) c(x1) -> b(x1) interpretation: [c#](x0) = [-& 0 ]x0 + [0], [-& 0 ] [3] [b](x0) = [-& 0 ]x0 + [0], [0 0] [3] [a](x0) = [2 0]x0 + [0], [-& 0 ] [3] [c](x0) = [-& 0 ]x0 + [0] orientation: c#(a(b(x1))) = [-& 2 ]x1 + [5] >= [-& 0 ]x1 + [0] = c#(c(x1)) c#(a(b(x1))) = [-& 2 ]x1 + [5] >= [-& 0 ]x1 + [0] = c#(x1) [0 0] [3] a(x1) = [2 0]x1 + [0] >= x1 = x1 [0 0] [3] [-& 0 ] [3] a(x1) = [2 0]x1 + [0] >= [-& 0 ]x1 + [0] = b(x1) [-& 2 ] [5] [-& 2 ] [5] c(a(b(x1))) = [-& 2 ]x1 + [5] >= [-& 2 ]x1 + [5] = a(a(c(c(x1)))) [-& 0 ] [3] [-& 0 ] [3] c(x1) = [-& 0 ]x1 + [0] >= [-& 0 ]x1 + [0] = b(x1) problem: DPs: TRS: a(x1) -> x1 a(x1) -> b(x1) c(a(b(x1))) -> a(a(c(c(x1)))) c(x1) -> b(x1) Qed
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