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SRS Standard pair #487085078
details
property
value
status
complete
benchmark
size-12-alpha-3-num-70.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.0838 seconds
cpu usage
164.957
user time
162.518
system time
2.43894
max virtual memory
1.05693E7
max residence set size
89372.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> x1 b(c(x1)) -> c(c(b(a(x1)))) c(x1) -> x1 Proof: String Reversal Processor: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> x1 c(b(x1)) -> a(b(c(c(x1)))) c(x1) -> x1 DP Processor: DPs: a#(a(x1)) -> b#(x1) c#(b(x1)) -> c#(x1) c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> b#(c(c(x1))) c#(b(x1)) -> a#(b(c(c(x1)))) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> x1 c(b(x1)) -> a(b(c(c(x1)))) c(x1) -> x1 TDG Processor: DPs: a#(a(x1)) -> b#(x1) c#(b(x1)) -> c#(x1) c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> b#(c(c(x1))) c#(b(x1)) -> a#(b(c(c(x1)))) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> x1 c(b(x1)) -> a(b(c(c(x1)))) c(x1) -> x1 graph: c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(b(c(c(x1)))) c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> b#(c(c(x1))) c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(b(c(c(x1)))) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> b#(c(c(x1))) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(b(c(c(x1)))) -> a#(a(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 9/25 DPs: c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> c#(x1) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> x1 c(b(x1)) -> a(b(c(c(x1)))) c(x1) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> x1 c(b(x1)) -> a(b(c(c(x1)))) c(x1) -> x1 interpretation: [0 1] [-&] [b](x0) = [0 1]x0 + [1 ], [c#](x0) = [-& 0 ]x0 + [0], [0 1] [2] [a](x0) = [0 0]x0 + [0], [0 1 ] [-&] [c](x0) = [-& 0 ]x0 + [0 ] orientation: c#(b(x1)) = [0 1]x1 + [1] >= [-& 0 ]x1 + [0] = c#(c(x1)) c#(b(x1)) = [0 1]x1 + [1] >= [-& 0 ]x1 + [0] = c#(x1) [0 1] [2] a(x1) = [0 0]x1 + [0] >= x1 = x1 [1 1] [2] [0 1] [-&] a(a(x1)) = [0 1]x1 + [2] >= [0 1]x1 + [1 ] = b(x1) [0 1] [-&] b(x1) = [0 1]x1 + [1 ] >= x1 = x1 [1 2] [2] [1 2] [2] c(b(x1)) = [0 1]x1 + [1] >= [0 1]x1 + [1] = a(b(c(c(x1))))
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