details

property	value
status	complete
benchmark	Applicative_05__Hamming.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Uncurried_Applicative_11

run statistics

property	value
solver	Wanda 2.2a
configuration	default
runtime (wallclock)	0.0157259 seconds
cpu usage	0.015676
user time	0.010944
system time	0.004732
max virtual memory	113188.0
max residence set size	1636.0

stage attributes

key	value
starexec-result	NO

output

NO We consider the system theBenchmark. Alphabet: 0 : [] --> b cons : [b * c] --> c eq : [b * b] --> a false : [] --> a hamming : [] --> c if : [a * c * c] --> c list1 : [] --> c list2 : [] --> c list3 : [] --> c lt : [b * b] --> a map : [b -> b * c] --> c merge : [c * c] --> c mult : [b] --> b -> b nil : [] --> c plus : [b * b] --> b s : [b] --> b true : [] --> a Rules: if(true, x, y) => x if(false, x, y) => y lt(s(x), s(y)) => lt(x, y) lt(0, s(x)) => true lt(x, 0) => false eq(x, x) => true eq(s(x), 0) => false eq(0, s(x)) => false merge(x, nil) => x merge(nil, x) => x merge(cons(x, y), cons(z, u)) => if(lt(x, z), cons(x, merge(y, cons(z, u))), if(eq(x, z), cons(x, merge(y, u)), cons(z, merge(cons(x, y), u)))) map(f, nil) => nil map(f, cons(x, y)) => cons(f x, map(f, y)) mult(0) x => 0 mult(s(x)) y => plus(y, mult(x) y) plus(0, x) => 0 plus(s(x), y) => s(plus(x, y)) list1 => map(mult(s(s(0))), hamming) list2 => map(mult(s(s(s(0)))), hamming) list3 => map(mult(s(s(s(s(s(0)))))), hamming) hamming => cons(s(0), merge(list1, merge(list2, list3))) This AFS is converted to an AFSM simply by replacing all free variables by meta-variables (with arity 0). It is easy to see that this system is non-terminating: list1 => map(mult(s(s(0))), hamming) => map(mult(s(s(0))), cons(s(0), merge(list1, merge(list2, list3)))) |> list1 That is, a term s reduces to a term t which has a subterm that is an instance of the original term. popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to Higher Order Rewriting Union Beta