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TRS Stand 20472 pair #381714040
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nokinds_noand_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n097.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
28.7553520203 seconds
cpu usage
28.746771824
max memory
1.17854208E8
stage attributes
key
value
output-size
237380
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 U21 : [o] --> o U31 : [o] --> o U41 : [o * o] --> o U42 : [o] --> o U51 : [o * o] --> o U52 : [o] --> o U61 : [o * o * o] --> o U62 : [o * o] --> o active : [o] --> o cons : [o * o] --> o isNat : [o] --> o isNatIList : [o] --> o isNatList : [o] --> o length : [o] --> o mark : [o] --> o nil : [] --> o s : [o] --> o tt : [] --> o zeros : [] --> o active(zeros) => mark(cons(0, zeros)) active(U11(tt)) => mark(tt) active(U21(tt)) => mark(tt) active(U31(tt)) => mark(tt) active(U41(tt, X)) => mark(U42(isNatIList(X))) active(U42(tt)) => mark(tt) active(U51(tt, X)) => mark(U52(isNatList(X))) active(U52(tt)) => mark(tt) active(U61(tt, X, Y)) => mark(U62(isNat(Y), X)) active(U62(tt, X)) => mark(s(length(X))) active(isNat(0)) => mark(tt) active(isNat(length(X))) => mark(U11(isNatList(X))) active(isNat(s(X))) => mark(U21(isNat(X))) active(isNatIList(X)) => mark(U31(isNatList(X))) active(isNatIList(zeros)) => mark(tt) active(isNatIList(cons(X, Y))) => mark(U41(isNat(X), Y)) active(isNatList(nil)) => mark(tt) active(isNatList(cons(X, Y))) => mark(U51(isNat(X), Y)) active(length(nil)) => mark(0) active(length(cons(X, Y))) => mark(U61(isNatList(Y), Y, X)) mark(zeros) => active(zeros) mark(cons(X, Y)) => active(cons(mark(X), Y)) mark(0) => active(0) mark(U11(X)) => active(U11(mark(X))) mark(tt) => active(tt) mark(U21(X)) => active(U21(mark(X))) mark(U31(X)) => active(U31(mark(X))) mark(U41(X, Y)) => active(U41(mark(X), Y)) mark(U42(X)) => active(U42(mark(X))) mark(isNatIList(X)) => active(isNatIList(X)) mark(U51(X, Y)) => active(U51(mark(X), Y)) mark(U52(X)) => active(U52(mark(X))) mark(isNatList(X)) => active(isNatList(X)) mark(U61(X, Y, Z)) => active(U61(mark(X), Y, Z)) mark(U62(X, Y)) => active(U62(mark(X), Y)) mark(isNat(X)) => active(isNat(X)) mark(s(X)) => active(s(mark(X))) mark(length(X)) => active(length(mark(X))) mark(nil) => active(nil) cons(mark(X), Y) => cons(X, Y) cons(X, mark(Y)) => cons(X, Y) cons(active(X), Y) => cons(X, Y) cons(X, active(Y)) => cons(X, Y) U11(mark(X)) => U11(X) U11(active(X)) => U11(X) U21(mark(X)) => U21(X) U21(active(X)) => U21(X) U31(mark(X)) => U31(X) U31(active(X)) => U31(X) U41(mark(X), Y) => U41(X, Y) U41(X, mark(Y)) => U41(X, Y) U41(active(X), Y) => U41(X, Y) U41(X, active(Y)) => U41(X, Y) U42(mark(X)) => U42(X) U42(active(X)) => U42(X) isNatIList(mark(X)) => isNatIList(X) isNatIList(active(X)) => isNatIList(X) U51(mark(X), Y) => U51(X, Y) U51(X, mark(Y)) => U51(X, Y) U51(active(X), Y) => U51(X, Y) U51(X, active(Y)) => U51(X, Y) U52(mark(X)) => U52(X) U52(active(X)) => U52(X) isNatList(mark(X)) => isNatList(X) isNatList(active(X)) => isNatList(X) U61(mark(X), Y, Z) => U61(X, Y, Z) U61(X, mark(Y), Z) => U61(X, Y, Z)
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