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TRS Stand 20472 pair #381716390
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nokinds_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n112.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
9.10161590576 seconds
cpu usage
9.079300031
max memory
7.8471168E7
stage attributes
key
value
output-size
2337
starexec-result
MAYBE
output
/export/starexec/sandbox2/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE We consider the system theBenchmark. We are asked to determine termination of the following first-order TRS. 0 : [] --> o U11 : [o * o] --> o activate : [o] --> o and : [o * o] --> o cons : [o * o] --> o isNat : [o] --> o isNatIList : [o] --> o isNatList : [o] --> o length : [o] --> o n!6220!62200 : [] --> o n!6220!6220cons : [o * o] --> o n!6220!6220isNat : [o] --> o n!6220!6220isNatIList : [o] --> o n!6220!6220isNatList : [o] --> o n!6220!6220length : [o] --> o n!6220!6220nil : [] --> o n!6220!6220s : [o] --> o n!6220!6220zeros : [] --> o nil : [] --> o s : [o] --> o tt : [] --> o zeros : [] --> o zeros => cons(0, n!6220!6220zeros) U11(tt, X) => s(length(activate(X))) and(tt, X) => activate(X) isNat(n!6220!62200) => tt isNat(n!6220!6220length(X)) => isNatList(activate(X)) isNat(n!6220!6220s(X)) => isNat(activate(X)) isNatIList(X) => isNatList(activate(X)) isNatIList(n!6220!6220zeros) => tt isNatIList(n!6220!6220cons(X, Y)) => and(isNat(activate(X)), n!6220!6220isNatIList(activate(Y))) isNatList(n!6220!6220nil) => tt isNatList(n!6220!6220cons(X, Y)) => and(isNat(activate(X)), n!6220!6220isNatList(activate(Y))) length(nil) => 0 length(cons(X, Y)) => U11(and(isNatList(activate(Y)), n!6220!6220isNat(X)), activate(Y)) zeros => n!6220!6220zeros 0 => n!6220!62200 length(X) => n!6220!6220length(X) s(X) => n!6220!6220s(X) cons(X, Y) => n!6220!6220cons(X, Y) isNatIList(X) => n!6220!6220isNatIList(X) nil => n!6220!6220nil isNatList(X) => n!6220!6220isNatList(X) isNat(X) => n!6220!6220isNat(X) activate(n!6220!6220zeros) => zeros activate(n!6220!62200) => 0 activate(n!6220!6220length(X)) => length(activate(X)) activate(n!6220!6220s(X)) => s(activate(X)) activate(n!6220!6220cons(X, Y)) => cons(activate(X), Y) activate(n!6220!6220isNatIList(X)) => isNatIList(X) activate(n!6220!6220nil) => nil activate(n!6220!6220isNatList(X)) => isNatList(X) activate(n!6220!6220isNat(X)) => isNat(X) activate(X) => X
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