details

property	value
status	complete
benchmark	z010.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n109.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0429021 seconds
cpu usage	0.035003
user time	0.017751
system time	0.017252
max virtual memory	113176.0
max residence set size	4904.0

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(b(x1:S)) -> b(b(a(x1:S))) 0.00/0.04 c(b(x1:S)) -> b(c(c(x1:S))) 0.00/0.04 ) 0.00/0.04 0.00/0.04 Problem 1: 0.00/0.04 0.00/0.04 Innermost Equivalent Processor: 0.00/0.04 -> Rules: 0.00/0.04 a(b(x1:S)) -> b(b(a(x1:S))) 0.00/0.04 c(b(x1:S)) -> b(c(c(x1:S))) 0.00/0.04 -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. 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(b(x1:S)) -> A(x1:S) 0.00/0.04 C(b(x1:S)) -> C(c(x1:S)) 0.00/0.04 C(b(x1:S)) -> C(x1:S) 0.00/0.04 -> Rules: 0.00/0.04 a(b(x1:S)) -> b(b(a(x1:S))) 0.00/0.04 c(b(x1:S)) -> b(c(c(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(b(x1:S)) -> A(x1:S) 0.00/0.04 C(b(x1:S)) -> C(c(x1:S)) 0.00/0.04 C(b(x1:S)) -> C(x1:S) 0.00/0.04 -> Rules: 0.00/0.04 a(b(x1:S)) -> b(b(a(x1:S))) 0.00/0.04 c(b(x1:S)) -> b(c(c(x1:S))) 0.00/0.04 ->Strongly Connected Components: 0.00/0.04 ->->Cycle: 0.00/0.04 ->->-> Pairs: 0.00/0.04 C(b(x1:S)) -> C(c(x1:S)) 0.00/0.04 C(b(x1:S)) -> C(x1:S) 0.00/0.04 ->->-> Rules: 0.00/0.04 a(b(x1:S)) -> b(b(a(x1:S))) 0.00/0.04 c(b(x1:S)) -> b(c(c(x1:S))) 0.00/0.04 ->->Cycle: 0.00/0.04 ->->-> Pairs: 0.00/0.04 A(b(x1:S)) -> A(x1:S) 0.00/0.04 ->->-> Rules: 0.00/0.04 a(b(x1:S)) -> b(b(a(x1:S))) 0.00/0.04 c(b(x1:S)) -> b(c(c(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 Reduction Pairs Processor: 0.00/0.04 -> Pairs: 0.00/0.04 C(b(x1:S)) -> C(c(x1:S)) 0.00/0.04 C(b(x1:S)) -> C(x1:S) 0.00/0.04 -> Rules: 0.00/0.04 a(b(x1:S)) -> b(b(a(x1:S))) 0.00/0.04 c(b(x1:S)) -> b(c(c(x1:S))) 0.00/0.04 -> Usable rules: 0.00/0.04 c(b(x1:S)) -> b(c(c(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: 0.00/0.04 0.00/0.04 [a](X) = 0 0.00/0.04 [c](X) = X 0.00/0.04 [b](X) = X + 2 0.00/0.04 [fSNonEmpty] = 0 0.00/0.04 [A](X) = 0 0.00/0.04 [C](X) = 2.X 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 C(b(x1:S)) -> C(x1:S) 0.00/0.04 -> Rules: 0.00/0.04 a(b(x1:S)) -> b(b(a(x1:S))) 0.00/0.04 c(b(x1:S)) -> b(c(c(x1:S))) 0.00/0.04 ->Strongly Connected Components: 0.00/0.04 ->->Cycle: 0.00/0.04 ->->-> Pairs: 0.00/0.04 C(b(x1:S)) -> C(x1:S) 0.00/0.04 ->->-> Rules: 0.00/0.04 a(b(x1:S)) -> b(b(a(x1:S))) popout

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all output return to SRS_Standard 2019-03-29 03.29