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SRS Standard pair #487083560
details
property
value
status
complete
benchmark
size-12-alpha-3-num-72.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.0272 seconds
cpu usage
164.512
user time
161.782
system time
2.73044
max virtual memory
9952068.0
max residence set size
102052.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> a(x1) b(c(x1)) -> c(c(b(a(x1)))) Proof: String Reversal Processor: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> a(x1) c(b(x1)) -> a(b(c(c(x1)))) DP Processor: DPs: a#(a(x1)) -> b#(x1) b#(x1) -> a#(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) -> a(x1) c(b(x1)) -> a(b(c(c(x1)))) TDG Processor: DPs: a#(a(x1)) -> b#(x1) b#(x1) -> a#(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) -> a(x1) c(b(x1)) -> a(b(c(c(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)) -> b#(c(c(x1))) -> b#(x1) -> a#(x1) c#(b(x1)) -> a#(b(c(c(x1)))) -> a#(a(x1)) -> b#(x1) b#(x1) -> a#(x1) -> a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(x1) -> b#(x1) -> a#(x1) SCC Processor: #sccs: 2 #rules: 4 #arcs: 12/36 DPs: c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> c#(x1) TRS: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> a(x1) c(b(x1)) -> a(b(c(c(x1)))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> a(x1) c(b(x1)) -> a(b(c(c(x1)))) interpretation: [2 2] [2 ] [b](x0) = [0 0]x0 + [-&], [c#](x0) = [0 0]x0, [0 2] [2 ] [a](x0) = [0 0]x0 + [-&], [0 0] [0] [c](x0) = [0 0]x0 + [0] orientation: c#(b(x1)) = [2 2]x1 + [2] >= [0 0]x1 + [0] = c#(c(x1)) c#(b(x1)) = [2 2]x1 + [2] >= [0 0]x1 = c#(x1) [0 2] [2 ] a(x1) = [0 0]x1 + [-&] >= x1 = x1 [2 2] [2] [2 2] [2 ] a(a(x1)) = [0 2]x1 + [2] >= [0 0]x1 + [-&] = b(x1) [2 2] [2 ] [0 2] [2 ] b(x1) = [0 0]x1 + [-&] >= [0 0]x1 + [-&] = a(x1) [2 2] [2] [2 2] [2] c(b(x1)) = [2 2]x1 + [2] >= [2 2]x1 + [2] = a(b(c(c(x1)))) problem:
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