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Higher Order Rewriting Union Beta pair #487093867
details
property
value
status
complete
benchmark
counterex1.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
Mixed_HO_10
run statistics
property
value
solver
Wanda 2.2a
configuration
default
runtime (wallclock)
0.0101931 seconds
cpu usage
0.005505
user time
0.001835
system time
0.00367
max virtual memory
0.0
max residence set size
1348.0
stage attributes
key
value
starexec-result
NO
output
NO We consider the system theBenchmark. Alphabet: f : [nat * nat] --> nat g : [nat -> nat] --> nat Rules: f(g(/\x.f(x, x)), g(/\y.f(y, y))) => (/\z.f(z, z)) g(/\u.f(u, u)) 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(g(/\x.f(x, x)), g(/\y.f(y, y))) => (/\x.f(x, x)) g(/\y.f(y, y)) => f(g(/\x.f(x, x)), g(/\y.f(y, y))) That is, a term s reduces to a term t which instantiates s.
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