details

property	value
status	complete
benchmark	Ex3_3_25_Bor03_L.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n074.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0191561 seconds
cpu usage	0.018249
user time	0.00744
system time	0.010809
max virtual memory	0.0
max residence set size	4160.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S L:S X:S XS:S Y:S YS:S) (RULES app(cons(X:S),YS:S) -> cons(X:S) app(nil,YS:S) -> YS:S from(X:S) -> cons(X:S) prefix(L:S) -> cons(nil) zWadr(cons(X:S),cons(Y:S)) -> cons(app(Y:S,cons(X:S))) zWadr(nil,YS:S) -> nil zWadr(XS:S,nil) -> nil ) Problem 1: Innermost Equivalent Processor: -> Rules: app(cons(X:S),YS:S) -> cons(X:S) app(nil,YS:S) -> YS:S from(X:S) -> cons(X:S) prefix(L:S) -> cons(nil) zWadr(cons(X:S),cons(Y:S)) -> cons(app(Y:S,cons(X:S))) zWadr(nil,YS:S) -> nil zWadr(XS:S,nil) -> nil -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: ZWADR(cons(X:S),cons(Y:S)) -> APP(Y:S,cons(X:S)) -> Rules: app(cons(X:S),YS:S) -> cons(X:S) app(nil,YS:S) -> YS:S from(X:S) -> cons(X:S) prefix(L:S) -> cons(nil) zWadr(cons(X:S),cons(Y:S)) -> cons(app(Y:S,cons(X:S))) zWadr(nil,YS:S) -> nil zWadr(XS:S,nil) -> nil Problem 1: SCC Processor: -> Pairs: ZWADR(cons(X:S),cons(Y:S)) -> APP(Y:S,cons(X:S)) -> Rules: app(cons(X:S),YS:S) -> cons(X:S) app(nil,YS:S) -> YS:S from(X:S) -> cons(X:S) prefix(L:S) -> cons(nil) zWadr(cons(X:S),cons(Y:S)) -> cons(app(Y:S,cons(X:S))) zWadr(nil,YS:S) -> nil zWadr(XS:S,nil) -> nil ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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job log

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actions

all output return to TRS Standard