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SRS Standard pair #487083392
details
property
value
status
complete
benchmark
09.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Mixed_SRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
41.9999 seconds
cpu usage
164.436
user time
161.894
system time
2.54246
max virtual memory
1.1676648E7
max residence set size
131108.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(b(a(x1))) -> b(b(b(a(x1)))) b(b(b(a(x1)))) -> a(a(a(b(x1)))) Proof: String Reversal Processor: a(b(a(x1))) -> a(b(b(b(x1)))) a(b(b(b(x1)))) -> b(a(a(a(x1)))) DP Processor: DPs: a#(b(a(x1))) -> a#(b(b(b(x1)))) a#(b(b(b(x1)))) -> a#(x1) a#(b(b(b(x1)))) -> a#(a(x1)) a#(b(b(b(x1)))) -> a#(a(a(x1))) TRS: a(b(a(x1))) -> a(b(b(b(x1)))) a(b(b(b(x1)))) -> b(a(a(a(x1)))) EDG Processor: DPs: a#(b(a(x1))) -> a#(b(b(b(x1)))) a#(b(b(b(x1)))) -> a#(x1) a#(b(b(b(x1)))) -> a#(a(x1)) a#(b(b(b(x1)))) -> a#(a(a(x1))) TRS: a(b(a(x1))) -> a(b(b(b(x1)))) a(b(b(b(x1)))) -> b(a(a(a(x1)))) graph: a#(b(b(b(x1)))) -> a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(b(b(x1)))) a#(b(b(b(x1)))) -> a#(a(a(x1))) -> a#(b(b(b(x1)))) -> a#(x1) a#(b(b(b(x1)))) -> a#(a(a(x1))) -> a#(b(b(b(x1)))) -> a#(a(x1)) a#(b(b(b(x1)))) -> a#(a(a(x1))) -> a#(b(b(b(x1)))) -> a#(a(a(x1))) a#(b(b(b(x1)))) -> a#(a(x1)) -> a#(b(a(x1))) -> a#(b(b(b(x1)))) a#(b(b(b(x1)))) -> a#(a(x1)) -> a#(b(b(b(x1)))) -> a#(x1) a#(b(b(b(x1)))) -> a#(a(x1)) -> a#(b(b(b(x1)))) -> a#(a(x1)) a#(b(b(b(x1)))) -> a#(a(x1)) -> a#(b(b(b(x1)))) -> a#(a(a(x1))) a#(b(b(b(x1)))) -> a#(x1) -> a#(b(a(x1))) -> a#(b(b(b(x1)))) a#(b(b(b(x1)))) -> a#(x1) -> a#(b(b(b(x1)))) -> a#(x1) a#(b(b(b(x1)))) -> a#(x1) -> a#(b(b(b(x1)))) -> a#(a(x1)) a#(b(b(b(x1)))) -> a#(x1) -> a#(b(b(b(x1)))) -> a#(a(a(x1))) a#(b(a(x1))) -> a#(b(b(b(x1)))) -> a#(b(b(b(x1)))) -> a#(x1) a#(b(a(x1))) -> a#(b(b(b(x1)))) -> a#(b(b(b(x1)))) -> a#(a(x1)) a#(b(a(x1))) -> a#(b(b(b(x1)))) -> a#(b(b(b(x1)))) -> a#(a(a(x1))) Matrix Interpretation Processor: dim=4 interpretation: [0 1 0 0] [0] [0 0 1 0] [0] [b](x0) = [1 0 0 0]x0 + [1] [0 0 0 1] [0], [0 0 1 1] [0 0 1 1] [a](x0) = [0 0 1 1]x0 [0 0 0 0] , [a#](x0) = [0 0 1 1]x0 orientation: a#(b(a(x1))) = [0 0 1 1]x1 + [1] >= [0 0 1 1]x1 + [1] = a#(b(b(b(x1)))) a#(b(b(b(x1)))) = [0 0 1 1]x1 + [1] >= [0 0 1 1]x1 = a#(x1) a#(b(b(b(x1)))) = [0 0 1 1]x1 + [1] >= [0 0 1 1]x1 = a#(a(x1)) a#(b(b(b(x1)))) = [0 0 1 1]x1 + [1] >= [0 0 1 1]x1 = a#(a(a(x1))) [0 0 1 1] [1] [0 0 1 1] [1] [0 0 1 1] [1] [0 0 1 1] [1] a(b(a(x1))) = [0 0 1 1]x1 + [1] >= [0 0 1 1]x1 + [1] = a(b(b(b(x1)))) [0 0 0 0] [0] [0 0 0 0] [0] [0 0 1 1] [1] [0 0 1 1] [0] [0 0 1 1] [1] [0 0 1 1] [0] a(b(b(b(x1)))) = [0 0 1 1]x1 + [1] >= [0 0 1 1]x1 + [1] = b(a(a(a(x1)))) [0 0 0 0] [0] [0 0 0 0] [0] problem: DPs: a#(b(a(x1))) -> a#(b(b(b(x1)))) TRS: a(b(a(x1))) -> a(b(b(b(x1)))) a(b(b(b(x1)))) -> b(a(a(a(x1)))) Restore Modifier: DPs: a#(b(a(x1))) -> a#(b(b(b(x1)))) TRS: a(b(a(x1))) -> a(b(b(b(x1)))) a(b(b(b(x1)))) -> b(a(a(a(x1)))) EDG Processor: DPs: a#(b(a(x1))) -> a#(b(b(b(x1)))) TRS: a(b(a(x1))) -> a(b(b(b(x1)))) a(b(b(b(x1)))) -> b(a(a(a(x1)))) graph: SCC Processor: #sccs: 0 #rules: 0
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