Higher_Order_Rewriting_Union_Beta 2019-03-28 22.10 pair #432270249

details

property	value
status	complete
benchmark	tailrecgen.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n099.star.cs.uiowa.edu
space	Mixed_HO_12

run statistics

property	value
solver	Wanda 2.1c
configuration	default
runtime (wallclock)	11.54 seconds
cpu usage	12.7944
user time	12.3854
system time	0.408999
max virtual memory	7024832.0
max residence set size	183104.0

stage attributes

key	value
starexec-result	MAYBE

output

12.62/11.52	MAYBE
12.62/11.52	We consider the system theBenchmark.
12.62/11.52	
12.62/11.52	  Alphabet:
12.62/11.52	
12.62/11.52	    !plus : [nat * nat] --> nat 
12.62/11.52	    0 : [] --> nat 
12.62/11.52	    dec : [nat * nat] --> nat 
12.62/11.52	    grec : [nat * nat * nat * nat -> nat -> nat] --> nat 
12.62/11.52	    log2 : [nat * nat] --> nat 
12.62/11.52	    s : [nat] --> nat 
12.62/11.52	    sumlog : [nat] --> nat 
12.62/11.52	
12.62/11.52	  Rules:
12.62/11.52	
12.62/11.52	    dec(0, x) => 0 
12.62/11.52	    dec(x, 0) => x 
12.62/11.52	    dec(s(x), s(y)) => dec(x, y) 
12.62/11.52	    grec(0, x, y, f) => y 
12.62/11.52	    grec(s(x), s(y), z, f) => grec(dec(x, y), s(y), f z x, f) 
12.62/11.52	    sumlog(x) => grec(x, s(s(0)), 0, /\y./\z.!plus(log2(s(z), 0), y)) 
12.62/11.52	    !plus(0, x) => x 
12.62/11.52	    !plus(s(x), y) => s(!plus(x, y)) 
12.62/11.52	    log2(s(0), 0) => 0 
12.62/11.52	    log2(0, s(x)) => s(log2(s(x), 0)) 
12.62/11.52	    log2(s(0), s(x)) => s(log2(s(x), 0)) 
12.62/11.52	    log2(s(s(x)), y) => log2(x, s(y)) 
12.62/11.52	
12.62/11.52	This AFS is converted to an AFSM simply by replacing all free variables by meta-variables (with arity 0).
12.62/11.52	
12.62/11.54	EOF

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