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SRS_Standard 2019-03-29 03.29 pair #432294994
details
property
value
status
complete
benchmark
random-450.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n040.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
19.5388 seconds
cpu usage
19.4443
user time
18.9109
system time
0.533369
max virtual memory
1060824.0
max residence set size
139480.0
stage attributes
key
value
starexec-result
YES
output
19.33/19.53 YES 19.33/19.53 19.33/19.53 Problem 1: 19.33/19.53 19.33/19.53 (VAR v_NonEmpty:S x1:S) 19.33/19.53 (RULES 19.33/19.53 b(b(a(a(x1:S)))) -> a(a(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(b(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(a(a(a(x1:S)))) 19.33/19.53 ) 19.33/19.53 19.33/19.53 Problem 1: 19.33/19.53 19.33/19.53 Dependency Pairs Processor: 19.33/19.53 -> Pairs: 19.33/19.53 B(b(a(a(x1:S)))) -> B(b(x1:S)) 19.33/19.53 B(b(a(a(x1:S)))) -> B(x1:S) 19.33/19.53 B(a(b(b(x1:S)))) -> B(b(b(b(x1:S)))) 19.33/19.53 B(a(b(b(x1:S)))) -> B(b(b(x1:S))) 19.33/19.53 -> Rules: 19.33/19.53 b(b(a(a(x1:S)))) -> a(a(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(b(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(a(a(a(x1:S)))) 19.33/19.53 19.33/19.53 Problem 1: 19.33/19.53 19.33/19.53 SCC Processor: 19.33/19.53 -> Pairs: 19.33/19.53 B(b(a(a(x1:S)))) -> B(b(x1:S)) 19.33/19.53 B(b(a(a(x1:S)))) -> B(x1:S) 19.33/19.53 B(a(b(b(x1:S)))) -> B(b(b(b(x1:S)))) 19.33/19.53 B(a(b(b(x1:S)))) -> B(b(b(x1:S))) 19.33/19.53 -> Rules: 19.33/19.53 b(b(a(a(x1:S)))) -> a(a(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(b(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(a(a(a(x1:S)))) 19.33/19.53 ->Strongly Connected Components: 19.33/19.53 ->->Cycle: 19.33/19.53 ->->-> Pairs: 19.33/19.53 B(b(a(a(x1:S)))) -> B(b(x1:S)) 19.33/19.53 B(b(a(a(x1:S)))) -> B(x1:S) 19.33/19.53 B(a(b(b(x1:S)))) -> B(b(b(b(x1:S)))) 19.33/19.53 B(a(b(b(x1:S)))) -> B(b(b(x1:S))) 19.33/19.53 ->->-> Rules: 19.33/19.53 b(b(a(a(x1:S)))) -> a(a(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(b(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(a(a(a(x1:S)))) 19.33/19.53 19.33/19.53 Problem 1: 19.33/19.53 19.33/19.53 Reduction Pair Processor: 19.33/19.53 -> Pairs: 19.33/19.53 B(b(a(a(x1:S)))) -> B(b(x1:S)) 19.33/19.53 B(b(a(a(x1:S)))) -> B(x1:S) 19.33/19.53 B(a(b(b(x1:S)))) -> B(b(b(b(x1:S)))) 19.33/19.53 B(a(b(b(x1:S)))) -> B(b(b(x1:S))) 19.33/19.53 -> Rules: 19.33/19.53 b(b(a(a(x1:S)))) -> a(a(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(b(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(a(a(a(x1:S)))) 19.33/19.53 -> Usable rules: 19.33/19.53 b(b(a(a(x1:S)))) -> a(a(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(b(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(a(a(a(x1:S)))) 19.33/19.53 ->Interpretation type: 19.33/19.53 Linear 19.33/19.53 ->Coefficients: 19.33/19.53 Natural Numbers 19.33/19.53 ->Dimension: 19.33/19.53 1 19.33/19.53 ->Bound: 19.33/19.53 2 19.33/19.53 ->Interpretation: 19.33/19.53 19.33/19.53 [b](X) = 2.X + 1 19.33/19.53 [a](X) = 2.X + 1 19.33/19.53 [B](X) = 2.X 19.33/19.53 19.33/19.53 Problem 1: 19.33/19.53 19.33/19.53 SCC Processor: 19.33/19.53 -> Pairs: 19.33/19.53 B(b(a(a(x1:S)))) -> B(x1:S) 19.33/19.53 B(a(b(b(x1:S)))) -> B(b(b(b(x1:S)))) 19.33/19.53 B(a(b(b(x1:S)))) -> B(b(b(x1:S))) 19.33/19.53 -> Rules: 19.33/19.53 b(b(a(a(x1:S)))) -> a(a(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(b(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(a(a(a(x1:S)))) 19.33/19.53 ->Strongly Connected Components: 19.33/19.53 ->->Cycle: 19.33/19.53 ->->-> Pairs: 19.33/19.53 B(b(a(a(x1:S)))) -> B(x1:S) 19.33/19.53 B(a(b(b(x1:S)))) -> B(b(b(b(x1:S)))) 19.33/19.53 B(a(b(b(x1:S)))) -> B(b(b(x1:S))) 19.33/19.53 ->->-> Rules: 19.33/19.53 b(b(a(a(x1:S)))) -> a(a(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(b(b(b(x1:S)))) 19.33/19.53 b(a(b(b(x1:S)))) -> b(a(a(a(x1:S)))) 19.33/19.53
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