details

property	value
status	complete
benchmark	ExIntrod_GM04.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n148.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.017291 seconds
cpu usage	0.017244
user time	0.005446
system time	0.011798
max virtual memory	0.0
max residence set size	4948.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR X Y) (STRATEGY CONTEXTSENSITIVE (adx 1) (hd 1) (incr 1) (nats) (tl 1) (zeros) (0) (cons) (s) ) (RULES adx(cons(X,Y)) -> incr(cons(X,adx(Y))) hd(cons(X,Y)) -> X incr(cons(X,Y)) -> cons(s(X),incr(Y)) nats -> adx(zeros) tl(cons(X,Y)) -> Y zeros -> cons(0,zeros) ) Problem 1: Innermost Equivalent Processor: -> Rules: adx(cons(X,Y)) -> incr(cons(X,adx(Y))) hd(cons(X,Y)) -> X incr(cons(X,Y)) -> cons(s(X),incr(Y)) nats -> adx(zeros) tl(cons(X,Y)) -> Y zeros -> cons(0,zeros) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: ADX(cons(X,Y)) -> INCR(cons(X,adx(Y))) HD(cons(X,Y)) -> X NATS -> ADX(zeros) NATS -> ZEROS TL(cons(X,Y)) -> Y -> Rules: adx(cons(X,Y)) -> incr(cons(X,adx(Y))) hd(cons(X,Y)) -> X incr(cons(X,Y)) -> cons(s(X),incr(Y)) nats -> adx(zeros) tl(cons(X,Y)) -> Y zeros -> cons(0,zeros) -> Unhiding Rules: adx(Y) -> ADX(Y) adx(x2) -> x2 incr(Y) -> INCR(Y) incr(x2) -> x2 zeros -> ZEROS Problem 1: SCC Processor: -> Pairs: ADX(cons(X,Y)) -> INCR(cons(X,adx(Y))) HD(cons(X,Y)) -> X NATS -> ADX(zeros) NATS -> ZEROS TL(cons(X,Y)) -> Y -> Rules: adx(cons(X,Y)) -> incr(cons(X,adx(Y))) hd(cons(X,Y)) -> X incr(cons(X,Y)) -> cons(s(X),incr(Y)) nats -> adx(zeros) tl(cons(X,Y)) -> Y zeros -> cons(0,zeros) -> Unhiding rules: adx(Y) -> ADX(Y) adx(x2) -> x2 incr(Y) -> INCR(Y) incr(x2) -> x2 zeros -> ZEROS ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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