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SRS_Standard 2019-03-29 03.29 pair #432292378
details
property
value
status
complete
benchmark
z021.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n093.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0457021 seconds
cpu usage
0.037836
user time
0.021036
system time
0.0168
max virtual memory
113176.0
max residence set size
5396.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.04 YES 0.00/0.04 0.00/0.04 Problem 1: 0.00/0.04 0.00/0.04 (VAR v_NonEmpty:S x1:S) 0.00/0.04 (RULES 0.00/0.04 a(a(b(x1:S))) -> b(b(a(a(x1:S)))) 0.00/0.04 b(a(x1:S)) -> a(c(b(x1:S))) 0.00/0.04 ) 0.00/0.04 0.00/0.04 Problem 1: 0.00/0.04 0.00/0.04 Dependency Pairs Processor: 0.00/0.04 -> Pairs: 0.00/0.04 A(a(b(x1:S))) -> A(a(x1:S)) 0.00/0.04 A(a(b(x1:S))) -> A(x1:S) 0.00/0.04 A(a(b(x1:S))) -> B(a(a(x1:S))) 0.00/0.04 A(a(b(x1:S))) -> B(b(a(a(x1:S)))) 0.00/0.04 B(a(x1:S)) -> A(c(b(x1:S))) 0.00/0.04 B(a(x1:S)) -> B(x1:S) 0.00/0.04 -> Rules: 0.00/0.04 a(a(b(x1:S))) -> b(b(a(a(x1:S)))) 0.00/0.04 b(a(x1:S)) -> a(c(b(x1:S))) 0.00/0.04 0.00/0.04 Problem 1: 0.00/0.04 0.00/0.04 SCC Processor: 0.00/0.04 -> Pairs: 0.00/0.04 A(a(b(x1:S))) -> A(a(x1:S)) 0.00/0.04 A(a(b(x1:S))) -> A(x1:S) 0.00/0.04 A(a(b(x1:S))) -> B(a(a(x1:S))) 0.00/0.04 A(a(b(x1:S))) -> B(b(a(a(x1:S)))) 0.00/0.04 B(a(x1:S)) -> A(c(b(x1:S))) 0.00/0.04 B(a(x1:S)) -> B(x1:S) 0.00/0.04 -> Rules: 0.00/0.04 a(a(b(x1:S))) -> b(b(a(a(x1:S)))) 0.00/0.04 b(a(x1:S)) -> a(c(b(x1:S))) 0.00/0.04 ->Strongly Connected Components: 0.00/0.04 ->->Cycle: 0.00/0.04 ->->-> Pairs: 0.00/0.04 B(a(x1:S)) -> B(x1:S) 0.00/0.04 ->->-> Rules: 0.00/0.04 a(a(b(x1:S))) -> b(b(a(a(x1:S)))) 0.00/0.04 b(a(x1:S)) -> a(c(b(x1:S))) 0.00/0.04 ->->Cycle: 0.00/0.04 ->->-> Pairs: 0.00/0.04 A(a(b(x1:S))) -> A(a(x1:S)) 0.00/0.04 A(a(b(x1:S))) -> A(x1:S) 0.00/0.04 ->->-> Rules: 0.00/0.04 a(a(b(x1:S))) -> b(b(a(a(x1:S)))) 0.00/0.04 b(a(x1:S)) -> a(c(b(x1:S))) 0.00/0.04 0.00/0.04 0.00/0.04 The problem is decomposed in 2 subproblems. 0.00/0.04 0.00/0.04 Problem 1.1: 0.00/0.04 0.00/0.04 Subterm Processor: 0.00/0.04 -> Pairs: 0.00/0.04 B(a(x1:S)) -> B(x1:S) 0.00/0.04 -> Rules: 0.00/0.04 a(a(b(x1:S))) -> b(b(a(a(x1:S)))) 0.00/0.04 b(a(x1:S)) -> a(c(b(x1:S))) 0.00/0.04 ->Projection: 0.00/0.04 pi(B) = 1 0.00/0.04 0.00/0.04 Problem 1.1: 0.00/0.04 0.00/0.04 SCC Processor: 0.00/0.04 -> Pairs: 0.00/0.04 Empty 0.00/0.04 -> Rules: 0.00/0.04 a(a(b(x1:S))) -> b(b(a(a(x1:S)))) 0.00/0.04 b(a(x1:S)) -> a(c(b(x1:S))) 0.00/0.04 ->Strongly Connected Components: 0.00/0.04 There is no strongly connected component 0.00/0.04 0.00/0.04 The problem is finite. 0.00/0.04 0.00/0.04 Problem 1.2: 0.00/0.04 0.00/0.04 Reduction Pair Processor: 0.00/0.04 -> Pairs: 0.00/0.04 A(a(b(x1:S))) -> A(a(x1:S)) 0.00/0.04 A(a(b(x1:S))) -> A(x1:S) 0.00/0.04 -> Rules: 0.00/0.04 a(a(b(x1:S))) -> b(b(a(a(x1:S)))) 0.00/0.04 b(a(x1:S)) -> a(c(b(x1:S))) 0.00/0.04 -> Usable rules: 0.00/0.04 a(a(b(x1:S))) -> b(b(a(a(x1:S)))) 0.00/0.04 b(a(x1:S)) -> a(c(b(x1:S))) 0.00/0.04 ->Interpretation type: 0.00/0.04 Linear 0.00/0.04 ->Coefficients: 0.00/0.04 Natural Numbers 0.00/0.04 ->Dimension: 0.00/0.04 1 0.00/0.04 ->Bound: 0.00/0.04 2 0.00/0.04 ->Interpretation:
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