details

property	value
status	complete
benchmark	ex5.3.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n139.star.cs.uiowa.edu
space	Transformed_outermost_08

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.0152059 seconds
cpu usage	0.015562
user time	0.004243
system time	0.011319
max virtual memory	113188.0
max residence set size	3576.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR x xs) (STRATEGY CONTEXTSENSITIVE (cons_1) (from_1) (from_2) (from_3) (cons_0 1 2) (overflow_0) (s_0 1) ) (RULES cons_1(s_0(x),xs) -> overflow_0 from_1(x) -> cons_0(x,from_3(s_0(x))) from_2(x) -> cons_0(x,from_3(s_0(x))) from_3(x) -> cons_1(x,from_3(s_0(x))) ) Problem 1: Innermost Equivalent Processor: -> Rules: cons_1(s_0(x),xs) -> overflow_0 from_1(x) -> cons_0(x,from_3(s_0(x))) from_2(x) -> cons_0(x,from_3(s_0(x))) from_3(x) -> cons_1(x,from_3(s_0(x))) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: FROM_1(x) -> FROM_3(s_0(x)) FROM_1(x) -> x FROM_2(x) -> FROM_3(s_0(x)) FROM_2(x) -> x FROM_3(x) -> CONS_1(x,from_3(s_0(x))) -> Rules: cons_1(s_0(x),xs) -> overflow_0 from_1(x) -> cons_0(x,from_3(s_0(x))) from_2(x) -> cons_0(x,from_3(s_0(x))) from_3(x) -> cons_1(x,from_3(s_0(x))) -> Unhiding Rules: from_3(s_0(x)) -> FROM_3(s_0(x)) Problem 1: SCC Processor: -> Pairs: FROM_1(x) -> FROM_3(s_0(x)) FROM_1(x) -> x FROM_2(x) -> FROM_3(s_0(x)) FROM_2(x) -> x FROM_3(x) -> CONS_1(x,from_3(s_0(x))) -> Rules: cons_1(s_0(x),xs) -> overflow_0 from_1(x) -> cons_0(x,from_3(s_0(x))) from_2(x) -> cons_0(x,from_3(s_0(x))) from_3(x) -> cons_1(x,from_3(s_0(x))) -> Unhiding rules: from_3(s_0(x)) -> FROM_3(s_0(x)) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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