details

property	value
status	complete
benchmark	MYNAT_nosorts-noand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.0172549 seconds
cpu usage	0.017666
user time	0.010938
system time	0.006728
max virtual memory	113188.0
max residence set size	5084.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR M N) (STRATEGY CONTEXTSENSITIVE (U11 1) (U12 1) (U21 1) (U22 1) (plus 1 2) (x 1 2) (0) (s 1) (tt) ) (RULES U11(tt,M,N) -> U12(tt,M,N) U12(tt,M,N) -> s(plus(N,M)) U21(tt,M,N) -> U22(tt,M,N) U22(tt,M,N) -> plus(x(N,M),N) plus(N,0) -> N plus(N,s(M)) -> U11(tt,M,N) x(N,0) -> 0 x(N,s(M)) -> U21(tt,M,N) ) Problem 1: Innermost Equivalent Processor: -> Rules: U11(tt,M,N) -> U12(tt,M,N) U12(tt,M,N) -> s(plus(N,M)) U21(tt,M,N) -> U22(tt,M,N) U22(tt,M,N) -> plus(x(N,M),N) plus(N,0) -> N plus(N,s(M)) -> U11(tt,M,N) x(N,0) -> 0 x(N,s(M)) -> U21(tt,M,N) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: U11#(tt,M,N) -> U12#(tt,M,N) U12#(tt,M,N) -> PLUS(N,M) U12#(tt,M,N) -> M U12#(tt,M,N) -> N U21#(tt,M,N) -> U22#(tt,M,N) U22#(tt,M,N) -> PLUS(x(N,M),N) U22#(tt,M,N) -> X(N,M) U22#(tt,M,N) -> M U22#(tt,M,N) -> N PLUS(N,s(M)) -> U11#(tt,M,N) X(N,s(M)) -> U21#(tt,M,N) -> Rules: U11(tt,M,N) -> U12(tt,M,N) U12(tt,M,N) -> s(plus(N,M)) U21(tt,M,N) -> U22(tt,M,N) U22(tt,M,N) -> plus(x(N,M),N) plus(N,0) -> N plus(N,s(M)) -> U11(tt,M,N) x(N,0) -> 0 x(N,s(M)) -> U21(tt,M,N) -> Unhiding Rules: Empty Problem 1: SCC Processor: -> Pairs: U11#(tt,M,N) -> U12#(tt,M,N) U12#(tt,M,N) -> PLUS(N,M) U12#(tt,M,N) -> M U12#(tt,M,N) -> N U21#(tt,M,N) -> U22#(tt,M,N) U22#(tt,M,N) -> PLUS(x(N,M),N) U22#(tt,M,N) -> X(N,M) U22#(tt,M,N) -> M U22#(tt,M,N) -> N PLUS(N,s(M)) -> U11#(tt,M,N) X(N,s(M)) -> U21#(tt,M,N) -> Rules: U11(tt,M,N) -> U12(tt,M,N) U12(tt,M,N) -> s(plus(N,M)) U21(tt,M,N) -> U22(tt,M,N) U22(tt,M,N) -> plus(x(N,M),N) plus(N,0) -> N plus(N,s(M)) -> U11(tt,M,N) x(N,0) -> 0 x(N,s(M)) -> U21(tt,M,N) -> Unhiding rules: Empty ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: U11#(tt,M,N) -> U12#(tt,M,N) U12#(tt,M,N) -> PLUS(N,M) popout

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job log

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actions

all output return to TRS Contextsensitive