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TRS Stand 20472 pair #381715375
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nokinds_noand_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n089.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
3.23608207703 seconds
cpu usage
3.232560661
max memory
1.21335808E8
stage attributes
key
value
output-size
3965
starexec-result
MAYBE
output
/export/starexec/sandbox/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE 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 ok : [o] --> o proper : [o] --> o s : [o] --> o top : [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)) active(cons(X, Y)) => cons(active(X), Y) active(U11(X)) => U11(active(X)) active(U21(X)) => U21(active(X)) active(U31(X)) => U31(active(X)) active(U41(X, Y)) => U41(active(X), Y) active(U42(X)) => U42(active(X)) active(U51(X, Y)) => U51(active(X), Y) active(U52(X)) => U52(active(X)) active(U61(X, Y, Z)) => U61(active(X), Y, Z) active(U62(X, Y)) => U62(active(X), Y) active(s(X)) => s(active(X)) active(length(X)) => length(active(X)) cons(mark(X), Y) => mark(cons(X, Y)) U11(mark(X)) => mark(U11(X)) U21(mark(X)) => mark(U21(X)) U31(mark(X)) => mark(U31(X)) U41(mark(X), Y) => mark(U41(X, Y)) U42(mark(X)) => mark(U42(X)) U51(mark(X), Y) => mark(U51(X, Y)) U52(mark(X)) => mark(U52(X)) U61(mark(X), Y, Z) => mark(U61(X, Y, Z)) U62(mark(X), Y) => mark(U62(X, Y)) s(mark(X)) => mark(s(X)) length(mark(X)) => mark(length(X)) proper(zeros) => ok(zeros) proper(cons(X, Y)) => cons(proper(X), proper(Y)) proper(0) => ok(0) proper(U11(X)) => U11(proper(X)) proper(tt) => ok(tt) proper(U21(X)) => U21(proper(X)) proper(U31(X)) => U31(proper(X)) proper(U41(X, Y)) => U41(proper(X), proper(Y)) proper(U42(X)) => U42(proper(X)) proper(isNatIList(X)) => isNatIList(proper(X)) proper(U51(X, Y)) => U51(proper(X), proper(Y)) proper(U52(X)) => U52(proper(X)) proper(isNatList(X)) => isNatList(proper(X)) proper(U61(X, Y, Z)) => U61(proper(X), proper(Y), proper(Z)) proper(U62(X, Y)) => U62(proper(X), proper(Y)) proper(isNat(X)) => isNat(proper(X)) proper(s(X)) => s(proper(X)) proper(length(X)) => length(proper(X)) proper(nil) => ok(nil) cons(ok(X), ok(Y)) => ok(cons(X, Y))
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