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SRS Standard pair #487083644
details
property
value
status
complete
benchmark
size-12-alpha-3-num-107.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)
46.5522 seconds
cpu usage
182.446
user time
178.215
system time
4.23041
max virtual memory
1.108974E7
max residence set size
101792.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(b(x1))) -> b(b(a(a(x1)))) b(x1) -> a(c(a(x1))) Proof: String Reversal Processor: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(a(x1))) DP Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(x1) -> a#(x1) b#(x1) -> a#(c(a(x1))) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(a(x1))) TDG Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(x1) -> a#(x1) b#(x1) -> a#(c(a(x1))) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(a(x1))) graph: b#(a(a(x1))) -> b#(b(x1)) -> b#(x1) -> a#(c(a(x1))) b#(a(a(x1))) -> b#(b(x1)) -> b#(x1) -> a#(x1) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(x1) -> b#(x1) -> a#(c(a(x1))) b#(a(a(x1))) -> b#(x1) -> b#(x1) -> a#(x1) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 12/36 DPs: b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(x1) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(a(x1))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(a(x1))) interpretation: [b#](x0) = [0 2]x0 + [0], [0 0] [0] [b](x0) = [0 0]x0 + [0], [0 1] [0] [a](x0) = [0 0]x0 + [0], [-& 0 ] [0 ] [c](x0) = [-& -&]x0 + [-&] orientation: b#(a(a(x1))) = [2 3]x1 + [2] >= [2 2]x1 + [2] = b#(b(x1)) b#(a(a(x1))) = [2 3]x1 + [2] >= [0 2]x1 + [0] = b#(x1) [0 1] [0] a(x1) = [0 0]x1 + [0] >= x1 = x1 [1 1] [1] [1 1] [1] b(a(a(x1))) = [1 1]x1 + [1] >= [1 1]x1 + [1] = a(a(b(b(x1)))) [0 0] [0] [0 0] [0] b(x1) = [0 0]x1 + [0] >= [0 0]x1 + [0] = a(c(a(x1))) problem: DPs: b#(a(a(x1))) -> b#(b(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(a(x1))) Restore Modifier: DPs: b#(a(a(x1))) -> b#(b(x1))
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