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SRS Standard pair #487083668
details
property
value
status
complete
benchmark
size-12-alpha-3-num-301.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
47.1334 seconds
cpu usage
207.757
user time
202.982
system time
4.77489
max virtual memory
1.1828084E7
max residence set size
132388.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(b(x1))) -> b(b(b(c(a(x1))))) b(c(x1)) -> a(x1) Proof: String Reversal Processor: a(x1) -> x1 b(b(a(x1))) -> a(c(b(b(b(x1))))) c(b(x1)) -> a(x1) DP Processor: DPs: b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> c#(b(b(b(x1)))) b#(b(a(x1))) -> a#(c(b(b(b(x1))))) c#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 b(b(a(x1))) -> a(c(b(b(b(x1))))) c(b(x1)) -> a(x1) TDG Processor: DPs: b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> c#(b(b(b(x1)))) b#(b(a(x1))) -> a#(c(b(b(b(x1))))) c#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 b(b(a(x1))) -> a(c(b(b(b(x1))))) c(b(x1)) -> a(x1) graph: b#(b(a(x1))) -> c#(b(b(b(x1)))) -> c#(b(x1)) -> a#(x1) b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> a#(c(b(b(b(x1))))) b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> c#(b(b(b(x1)))) b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> a#(c(b(b(b(x1))))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> c#(b(b(b(x1)))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> a#(c(b(b(b(x1))))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> c#(b(b(b(x1)))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 16/36 DPs: b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) TRS: a(x1) -> x1 b(b(a(x1))) -> a(c(b(b(b(x1))))) c(b(x1)) -> a(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(b(a(x1))) -> a(c(b(b(b(x1))))) c(b(x1)) -> a(x1) interpretation: [b#](x0) = [1 -&]x0 + [0], [0 1] [3] [b](x0) = [0 0]x0 + [2], [0 0] [-&] [a](x0) = [0 0]x0 + [2 ], [-& 0 ] [0] [c](x0) = [-& 0 ]x0 + [0] orientation: b#(b(a(x1))) = [2 2]x1 + [4] >= [2 2]x1 + [4] = b#(b(b(x1))) b#(b(a(x1))) = [2 2]x1 + [4] >= [1 -&]x1 + [0] = b#(x1) b#(b(a(x1))) = [2 2]x1 + [4] >= [1 2]x1 + [4] = b#(b(x1)) [0 0] [-&] a(x1) = [0 0]x1 + [2 ] >= x1 = x1 [1 1] [3] [1 1] [3] b(b(a(x1))) = [1 1]x1 + [3] >= [1 1]x1 + [3] = a(c(b(b(b(x1))))) [0 0] [2] [0 0] [-&] c(b(x1)) = [0 0]x1 + [2] >= [0 0]x1 + [2 ] = a(x1) problem: DPs: b#(b(a(x1))) -> b#(b(b(x1)))
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