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SRS Standard pair #487084124
details
property
value
status
complete
benchmark
size-12-alpha-3-num-134.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
41.9904 seconds
cpu usage
164.537
user time
162.131
system time
2.40635
max virtual memory
1.1439864E7
max residence set size
89320.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> x1 b(a(x1)) -> a(a(b(c(x1)))) c(c(x1)) -> b(x1) Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> x1 a(b(x1)) -> c(b(a(a(x1)))) c(c(x1)) -> b(x1) DP Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> c#(b(a(a(x1)))) c#(c(x1)) -> b#(x1) TRS: a(x1) -> x1 b(a(x1)) -> x1 a(b(x1)) -> c(b(a(a(x1)))) c(c(x1)) -> b(x1) TDG Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> c#(b(a(a(x1)))) c#(c(x1)) -> b#(x1) TRS: a(x1) -> x1 b(a(x1)) -> x1 a(b(x1)) -> c(b(a(a(x1)))) c(c(x1)) -> b(x1) graph: a#(b(x1)) -> c#(b(a(a(x1)))) -> c#(c(x1)) -> b#(x1) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> c#(b(a(a(x1)))) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(b(a(a(x1)))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 9/25 DPs: a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 b(a(x1)) -> x1 a(b(x1)) -> c(b(a(a(x1)))) c(c(x1)) -> b(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> x1 a(b(x1)) -> c(b(a(a(x1)))) c(c(x1)) -> b(x1) interpretation: [3 3 ] [3] [b](x0) = [-& 0 ]x0 + [0], [a#](x0) = [0 0]x0, [0 -&] [0 ] [a](x0) = [0 0 ]x0 + [-&], [-& 3 ] [1] [c](x0) = [0 0 ]x0 + [3] orientation: a#(b(x1)) = [3 3]x1 + [3] >= [0 0]x1 + [0] = a#(a(x1)) a#(b(x1)) = [3 3]x1 + [3] >= [0 0]x1 = a#(x1) [0 -&] [0 ] a(x1) = [0 0 ]x1 + [-&] >= x1 = x1 [3 3] [3] b(a(x1)) = [0 0]x1 + [0] >= x1 = x1 [3 3] [3] [3 3] [3] a(b(x1)) = [3 3]x1 + [3] >= [3 3]x1 + [3] = c(b(a(a(x1)))) [3 3] [6] [3 3 ] [3] c(c(x1)) = [0 3]x1 + [3] >= [-& 0 ]x1 + [0] = b(x1) problem: DPs: TRS: a(x1) -> x1 b(a(x1)) -> x1
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