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SRS_Standard 2019-03-29 03.29 pair #432292072
details
property
value
status
complete
benchmark
z076.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n062.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.095946 seconds
cpu usage
0.051922
user time
0.02265
system time
0.029272
max virtual memory
113176.0
max residence set size
4764.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.09 YES 0.00/0.09 0.00/0.09 Problem 1: 0.00/0.09 0.00/0.09 (VAR v_NonEmpty:S x1:S) 0.00/0.09 (RULES 0.00/0.09 f(0(x1:S)) -> 0(x1:S) 0.00/0.09 f(s(x1:S)) -> s(s(f(p(s(x1:S))))) 0.00/0.09 p(s(x1:S)) -> x1:S 0.00/0.09 ) 0.00/0.09 0.00/0.09 Problem 1: 0.00/0.09 0.00/0.09 Innermost Equivalent Processor: 0.00/0.09 -> Rules: 0.00/0.09 f(0(x1:S)) -> 0(x1:S) 0.00/0.09 f(s(x1:S)) -> s(s(f(p(s(x1:S))))) 0.00/0.09 p(s(x1:S)) -> x1:S 0.00/0.09 -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. 0.00/0.09 0.00/0.09 0.00/0.09 Problem 1: 0.00/0.09 0.00/0.09 Dependency Pairs Processor: 0.00/0.09 -> Pairs: 0.00/0.09 F(s(x1:S)) -> F(p(s(x1:S))) 0.00/0.09 F(s(x1:S)) -> P(s(x1:S)) 0.00/0.09 -> Rules: 0.00/0.09 f(0(x1:S)) -> 0(x1:S) 0.00/0.09 f(s(x1:S)) -> s(s(f(p(s(x1:S))))) 0.00/0.09 p(s(x1:S)) -> x1:S 0.00/0.09 0.00/0.09 Problem 1: 0.00/0.09 0.00/0.09 SCC Processor: 0.00/0.09 -> Pairs: 0.00/0.09 F(s(x1:S)) -> F(p(s(x1:S))) 0.00/0.09 F(s(x1:S)) -> P(s(x1:S)) 0.00/0.09 -> Rules: 0.00/0.09 f(0(x1:S)) -> 0(x1:S) 0.00/0.09 f(s(x1:S)) -> s(s(f(p(s(x1:S))))) 0.00/0.09 p(s(x1:S)) -> x1:S 0.00/0.09 ->Strongly Connected Components: 0.00/0.09 ->->Cycle: 0.00/0.09 ->->-> Pairs: 0.00/0.09 F(s(x1:S)) -> F(p(s(x1:S))) 0.00/0.09 ->->-> Rules: 0.00/0.09 f(0(x1:S)) -> 0(x1:S) 0.00/0.09 f(s(x1:S)) -> s(s(f(p(s(x1:S))))) 0.00/0.09 p(s(x1:S)) -> x1:S 0.00/0.09 0.00/0.09 Problem 1: 0.00/0.09 0.00/0.09 Reduction Pairs Processor: 0.00/0.09 -> Pairs: 0.00/0.09 F(s(x1:S)) -> F(p(s(x1:S))) 0.00/0.09 -> Rules: 0.00/0.09 f(0(x1:S)) -> 0(x1:S) 0.00/0.09 f(s(x1:S)) -> s(s(f(p(s(x1:S))))) 0.00/0.09 p(s(x1:S)) -> x1:S 0.00/0.09 -> Usable rules: 0.00/0.09 p(s(x1:S)) -> x1:S 0.00/0.09 ->Interpretation type: 0.00/0.09 Linear 0.00/0.09 ->Coefficients: 0.00/0.09 All rationals 0.00/0.09 ->Dimension: 0.00/0.09 1 0.00/0.09 ->Bound: 0.00/0.09 2 0.00/0.09 ->Interpretation: 0.00/0.09 0.00/0.09 [f](X) = 0 0.00/0.09 [p](X) = 1/2.X 0.00/0.09 [0](X) = 0 0.00/0.09 [fSNonEmpty] = 0 0.00/0.09 [s](X) = 2.X + 1/2 0.00/0.09 [F](X) = 2.X 0.00/0.09 [P](X) = 0 0.00/0.09 0.00/0.09 Problem 1: 0.00/0.09 0.00/0.09 SCC Processor: 0.00/0.09 -> Pairs: 0.00/0.09 Empty 0.00/0.09 -> Rules: 0.00/0.09 f(0(x1:S)) -> 0(x1:S) 0.00/0.09 f(s(x1:S)) -> s(s(f(p(s(x1:S))))) 0.00/0.09 p(s(x1:S)) -> x1:S 0.00/0.09 ->Strongly Connected Components: 0.00/0.09 There is no strongly connected component 0.00/0.09 0.00/0.09 The problem is finite. 0.00/0.09 EOF
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