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TRS Stand 20472 pair #381715945
details
property
value
status
complete
benchmark
PALINDROME_nokinds_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n052.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
0.355849981308 seconds
cpu usage
0.353299875
max memory
6443008.0
stage attributes
key
value
output-size
30880
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES We consider the system theBenchmark. We are asked to determine termination of the following first-order TRS. !6220!6220 : [o * o] --> o a : [] --> o activate : [o] --> o and : [o * o] --> o e : [] --> o i : [] --> o isList : [o] --> o isNeList : [o] --> o isNePal : [o] --> o isPal : [o] --> o isQid : [o] --> o n!6220!6220!6220!6220 : [o * o] --> o n!6220!6220a : [] --> o n!6220!6220e : [] --> o n!6220!6220i : [] --> o n!6220!6220isList : [o] --> o n!6220!6220isNeList : [o] --> o n!6220!6220isPal : [o] --> o n!6220!6220nil : [] --> o n!6220!6220o : [] --> o n!6220!6220u : [] --> o nil : [] --> o o : [] --> o tt : [] --> o u : [] --> o !6220!6220(!6220!6220(X, Y), Z) => !6220!6220(X, !6220!6220(Y, Z)) !6220!6220(X, nil) => X !6220!6220(nil, X) => X and(tt, X) => activate(X) isList(X) => isNeList(activate(X)) isList(n!6220!6220nil) => tt isList(n!6220!6220!6220!6220(X, Y)) => and(isList(activate(X)), n!6220!6220isList(activate(Y))) isNeList(X) => isQid(activate(X)) isNeList(n!6220!6220!6220!6220(X, Y)) => and(isList(activate(X)), n!6220!6220isNeList(activate(Y))) isNeList(n!6220!6220!6220!6220(X, Y)) => and(isNeList(activate(X)), n!6220!6220isList(activate(Y))) isNePal(X) => isQid(activate(X)) isNePal(n!6220!6220!6220!6220(X, n!6220!6220!6220!6220(Y, X))) => and(isQid(activate(X)), n!6220!6220isPal(activate(Y))) isPal(X) => isNePal(activate(X)) isPal(n!6220!6220nil) => tt isQid(n!6220!6220a) => tt isQid(n!6220!6220e) => tt isQid(n!6220!6220i) => tt isQid(n!6220!6220o) => tt isQid(n!6220!6220u) => tt nil => n!6220!6220nil !6220!6220(X, Y) => n!6220!6220!6220!6220(X, Y) isList(X) => n!6220!6220isList(X) isNeList(X) => n!6220!6220isNeList(X) isPal(X) => n!6220!6220isPal(X) a => n!6220!6220a e => n!6220!6220e i => n!6220!6220i o => n!6220!6220o u => n!6220!6220u activate(n!6220!6220nil) => nil activate(n!6220!6220!6220!6220(X, Y)) => !6220!6220(activate(X), activate(Y)) activate(n!6220!6220isList(X)) => isList(X) activate(n!6220!6220isNeList(X)) => isNeList(X) activate(n!6220!6220isPal(X)) => isPal(X) activate(n!6220!6220a) => a activate(n!6220!6220e) => e activate(n!6220!6220i) => i activate(n!6220!6220o) => o activate(n!6220!6220u) => u activate(X) => X We use rule removal, following [Kop12, Theorem 2.23]. This gives the following requirements (possibly using Theorems 2.25 and 2.26 in [Kop12]): !6220!6220(!6220!6220(X, Y), Z) >? !6220!6220(X, !6220!6220(Y, Z)) !6220!6220(X, nil) >? X !6220!6220(nil, X) >? X and(tt, X) >? activate(X) isList(X) >? isNeList(activate(X)) isList(n!6220!6220nil) >? tt isList(n!6220!6220!6220!6220(X, Y)) >? and(isList(activate(X)), n!6220!6220isList(activate(Y))) isNeList(X) >? isQid(activate(X)) isNeList(n!6220!6220!6220!6220(X, Y)) >? and(isList(activate(X)), n!6220!6220isNeList(activate(Y))) isNeList(n!6220!6220!6220!6220(X, Y)) >? and(isNeList(activate(X)), n!6220!6220isList(activate(Y))) isNePal(X) >? isQid(activate(X)) isNePal(n!6220!6220!6220!6220(X, n!6220!6220!6220!6220(Y, X))) >? and(isQid(activate(X)), n!6220!6220isPal(activate(Y))) isPal(X) >? isNePal(activate(X)) isPal(n!6220!6220nil) >? tt isQid(n!6220!6220a) >? tt isQid(n!6220!6220e) >? tt isQid(n!6220!6220i) >? tt isQid(n!6220!6220o) >? tt
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