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Higher Order Rewriting Union Beta pair #487093921
details
property
value
status
complete
benchmark
Applicative_AG01_innermost__#4.5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Uncurried_Applicative_11
run statistics
property
value
solver
Wanda 2.2a
configuration
default
runtime (wallclock)
0.0135591 seconds
cpu usage
0.007969
user time
0.004813
system time
0.003156
max virtual memory
0.0
max residence set size
1360.0
stage attributes
key
value
starexec-result
NO
output
NO We consider the system theBenchmark. Alphabet: 0 : [] --> b 1 : [] --> b cons : [d * e] --> e f : [b] --> a false : [] --> c filter : [d -> c * e] --> e filter2 : [c * d -> c * d * e] --> e map : [d -> d * e] --> e nil : [] --> e true : [] --> c Rules: f(0) => f(0) 0 => 1 map(g, nil) => nil map(g, cons(x, y)) => cons(g x, map(g, y)) filter(g, nil) => nil filter(g, cons(x, y)) => filter2(g x, g, x, y) filter2(true, g, x, y) => cons(x, filter(g, y)) filter2(false, g, x, y) => filter(g, y) 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: f(0) => f(0) That is, a term s reduces to a term t which instantiates s.
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