Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Stand 20472 pair #381715915
details
property
value
status
complete
benchmark
PEANO_nokinds_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n095.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
1.67539906502 seconds
cpu usage
1.672089388
max memory
2.6185728E7
stage attributes
key
value
output-size
48965
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES We consider the system theBenchmark. We are asked to determine termination of the following first-order TRS. 0 : [] --> o U11 : [o * o] --> o U21 : [o * o * o] --> o active : [o] --> o and : [o * o] --> o isNat : [o] --> o mark : [o] --> o plus : [o * o] --> o s : [o] --> o tt : [] --> o active(U11(tt, X)) => mark(X) active(U21(tt, X, Y)) => mark(s(plus(Y, X))) active(and(tt, X)) => mark(X) active(isNat(0)) => mark(tt) active(isNat(plus(X, Y))) => mark(and(isNat(X), isNat(Y))) active(isNat(s(X))) => mark(isNat(X)) active(plus(X, 0)) => mark(U11(isNat(X), X)) active(plus(X, s(Y))) => mark(U21(and(isNat(Y), isNat(X)), Y, X)) mark(U11(X, Y)) => active(U11(mark(X), Y)) mark(tt) => active(tt) mark(U21(X, Y, Z)) => active(U21(mark(X), Y, Z)) mark(s(X)) => active(s(mark(X))) mark(plus(X, Y)) => active(plus(mark(X), mark(Y))) mark(and(X, Y)) => active(and(mark(X), Y)) mark(isNat(X)) => active(isNat(X)) mark(0) => active(0) U11(mark(X), Y) => U11(X, Y) U11(X, mark(Y)) => U11(X, Y) U11(active(X), Y) => U11(X, Y) U11(X, active(Y)) => U11(X, Y) U21(mark(X), Y, Z) => U21(X, Y, Z) U21(X, mark(Y), Z) => U21(X, Y, Z) U21(X, Y, mark(Z)) => U21(X, Y, Z) U21(active(X), Y, Z) => U21(X, Y, Z) U21(X, active(Y), Z) => U21(X, Y, Z) U21(X, Y, active(Z)) => U21(X, Y, Z) s(mark(X)) => s(X) s(active(X)) => s(X) plus(mark(X), Y) => plus(X, Y) plus(X, mark(Y)) => plus(X, Y) plus(active(X), Y) => plus(X, Y) plus(X, active(Y)) => plus(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) isNat(mark(X)) => isNat(X) isNat(active(X)) => isNat(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(U11(tt, X)) >? mark(X) active(U21(tt, X, Y)) >? mark(s(plus(Y, X))) active(and(tt, X)) >? mark(X) active(isNat(0)) >? mark(tt) active(isNat(plus(X, Y))) >? mark(and(isNat(X), isNat(Y))) active(isNat(s(X))) >? mark(isNat(X)) active(plus(X, 0)) >? mark(U11(isNat(X), X)) active(plus(X, s(Y))) >? mark(U21(and(isNat(Y), isNat(X)), Y, X)) mark(U11(X, Y)) >? active(U11(mark(X), Y)) mark(tt) >? active(tt) mark(U21(X, Y, Z)) >? active(U21(mark(X), Y, Z)) mark(s(X)) >? active(s(mark(X))) mark(plus(X, Y)) >? active(plus(mark(X), mark(Y))) mark(and(X, Y)) >? active(and(mark(X), Y)) mark(isNat(X)) >? active(isNat(X)) mark(0) >? active(0) U11(mark(X), Y) >? U11(X, Y) U11(X, mark(Y)) >? U11(X, Y) U11(active(X), Y) >? U11(X, Y) U11(X, active(Y)) >? U11(X, Y) U21(mark(X), Y, Z) >? U21(X, Y, Z) U21(X, mark(Y), Z) >? U21(X, Y, Z) U21(X, Y, mark(Z)) >? U21(X, Y, Z) U21(active(X), Y, Z) >? U21(X, Y, Z) U21(X, active(Y), Z) >? U21(X, Y, Z) U21(X, Y, active(Z)) >? U21(X, Y, Z) s(mark(X)) >? s(X) s(active(X)) >? s(X) plus(mark(X), Y) >? plus(X, Y) plus(X, mark(Y)) >? plus(X, Y) plus(active(X), Y) >? plus(X, Y) plus(X, active(Y)) >? plus(X, Y) and(mark(X), Y) >? and(X, Y) and(X, mark(Y)) >? and(X, Y) and(active(X), Y) >? and(X, Y)
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Stand 20472