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TRS Stand 20472 pair #381716880
details
property
value
status
complete
benchmark
PALINDROME_nokinds_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
3.70859479904 seconds
cpu usage
3.705547768
max memory
3.168256E7
stage attributes
key
value
output-size
89402
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 active : [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 mark : [o] --> o nil : [] --> o o : [] --> o tt : [] --> o u : [] --> o active(!6220!6220(!6220!6220(X, Y), Z)) => mark(!6220!6220(X, !6220!6220(Y, Z))) active(!6220!6220(X, nil)) => mark(X) active(!6220!6220(nil, X)) => mark(X) active(and(tt, X)) => mark(X) active(isList(X)) => mark(isNeList(X)) active(isList(nil)) => mark(tt) active(isList(!6220!6220(X, Y))) => mark(and(isList(X), isList(Y))) active(isNeList(X)) => mark(isQid(X)) active(isNeList(!6220!6220(X, Y))) => mark(and(isList(X), isNeList(Y))) active(isNeList(!6220!6220(X, Y))) => mark(and(isNeList(X), isList(Y))) active(isNePal(X)) => mark(isQid(X)) active(isNePal(!6220!6220(X, !6220!6220(Y, X)))) => mark(and(isQid(X), isPal(Y))) active(isPal(X)) => mark(isNePal(X)) active(isPal(nil)) => mark(tt) active(isQid(a)) => mark(tt) active(isQid(e)) => mark(tt) active(isQid(i)) => mark(tt) active(isQid(o)) => mark(tt) active(isQid(u)) => mark(tt) mark(!6220!6220(X, Y)) => active(!6220!6220(mark(X), mark(Y))) mark(nil) => active(nil) mark(and(X, Y)) => active(and(mark(X), Y)) mark(tt) => active(tt) mark(isList(X)) => active(isList(X)) mark(isNeList(X)) => active(isNeList(X)) mark(isQid(X)) => active(isQid(X)) mark(isNePal(X)) => active(isNePal(X)) mark(isPal(X)) => active(isPal(X)) mark(a) => active(a) mark(e) => active(e) mark(i) => active(i) mark(o) => active(o) mark(u) => active(u) !6220!6220(mark(X), Y) => !6220!6220(X, Y) !6220!6220(X, mark(Y)) => !6220!6220(X, Y) !6220!6220(active(X), Y) => !6220!6220(X, Y) !6220!6220(X, active(Y)) => !6220!6220(X, Y) and(mark(X), Y) => and(X, Y) and(X, mark(Y)) => and(X, Y) and(active(X), Y) => and(X, Y) and(X, active(Y)) => and(X, Y) isList(mark(X)) => isList(X) isList(active(X)) => isList(X) isNeList(mark(X)) => isNeList(X) isNeList(active(X)) => isNeList(X) isQid(mark(X)) => isQid(X) isQid(active(X)) => isQid(X) isNePal(mark(X)) => isNePal(X) isNePal(active(X)) => isNePal(X) isPal(mark(X)) => isPal(X) isPal(active(X)) => isPal(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]): active(!6220!6220(!6220!6220(X, Y), Z)) >? mark(!6220!6220(X, !6220!6220(Y, Z))) active(!6220!6220(X, nil)) >? mark(X) active(!6220!6220(nil, X)) >? mark(X) active(and(tt, X)) >? mark(X) active(isList(X)) >? mark(isNeList(X)) active(isList(nil)) >? mark(tt) active(isList(!6220!6220(X, Y))) >? mark(and(isList(X), isList(Y))) active(isNeList(X)) >? mark(isQid(X)) active(isNeList(!6220!6220(X, Y))) >? mark(and(isList(X), isNeList(Y))) active(isNeList(!6220!6220(X, Y))) >? mark(and(isNeList(X), isList(Y))) active(isNePal(X)) >? mark(isQid(X)) active(isNePal(!6220!6220(X, !6220!6220(Y, X)))) >? mark(and(isQid(X), isPal(Y))) active(isPal(X)) >? mark(isNePal(X)) active(isPal(nil)) >? mark(tt) active(isQid(a)) >? mark(tt) active(isQid(e)) >? mark(tt)
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