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HRS union beta 16688 pair #381734265
details
property
value
status
complete
benchmark
sqr.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n055.star.cs.uiowa.edu
space
Mixed_HO_12
run statistics
property
value
solver
Wanda
configuration
HigherOrder
runtime (wallclock)
4.70280194283 seconds
cpu usage
6.349945663
max memory
2.04025856E8
stage attributes
key
value
output-size
1212
starexec-result
MAYBE
output
/export/starexec/sandbox/solver/bin/starexec_run_HigherOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE We consider the system theBenchmark. Alphabet: !plus : [nat * nat] --> nat 0 : [] --> nat dec : [nat * nat] --> nat p : [nat * nat] --> nat quad : [nat] --> nat rec : [nat * nat * nat * nat -> nat -> nat] --> nat s : [nat] --> nat sqr : [nat] --> nat sumsqr : [nat] --> nat Rules: dec(0, x) => 0 dec(x, 0) => x dec(s(x), s(y)) => dec(x, y) rec(0, x, y, f) => y rec(s(x), s(y), z, f) => rec(dec(x, y), s(y), f z x, f) sumsqr(x) => rec(x, s(0), 0, /\y./\z.!plus(sqr(p(s(z), 0)), y)) !plus(0, x) => x !plus(s(x), y) => s(!plus(x, y)) quad(0) => 0 quad(s(x)) => s(s(s(s(quad(x))))) sqr(p(0, 0)) => 0 sqr(p(s(s(x)), y)) => sqr(p(x, s(y))) sqr(p(s(0), x)) => !plus(quad(sqr(p(x, 0))), s(quad(x))) sqr(p(0, s(x))) => quad(sqr(p(s(x), 0))) This AFS is converted to an AFSM simply by replacing all free variables by meta-variables (with arity 0).
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