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TRS Stand 20472 pair #381711237
details
property
value
status
complete
benchmark
rybalchenko-nonloop-popl08.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n083.star.cs.uiowa.edu
space
EEG_IJCAR_12
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
1.15582489967 seconds
cpu usage
1.142045672
max memory
2.6718208E7
stage attributes
key
value
output-size
1476
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 and : [o * o] --> o false : [] --> o greaterZero : [o] --> o minus : [o * o] --> o minusT : [o * o] --> o neg : [o] --> o negate : [o] --> o notZero : [o] --> o plusNat : [o * o] --> o pos : [o] --> o s : [o] --> o true : [] --> o while : [o * o * o] --> o notZero(pos(s(X))) => true notZero(neg(s(X))) => true notZero(neg(0)) => false notZero(pos(0)) => false greaterZero(pos(s(X))) => true greaterZero(pos(0)) => false greaterZero(neg(X)) => false and(false, false) => false and(false, true) => false and(true, false) => false and(true, true) => true minusT(0, X) => neg(X) minusT(X, 0) => pos(X) minusT(s(X), s(Y)) => minusT(X, Y) plusNat(0, X) => X plusNat(s(X), Y) => plusNat(X, s(Y)) negate(pos(X)) => neg(X) negate(neg(X)) => pos(X) minus(pos(X), pos(Y)) => minusT(X, Y) minus(neg(X), neg(Y)) => negate(minusT(X, Y)) minus(pos(X), neg(Y)) => pos(plusNat(X, Y)) minus(neg(X), pos(Y)) => neg(plusNat(X, Y)) while(true, X, Y) => while(and(notZero(Y), greaterZero(X)), minus(X, Y), Y)
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