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TRS Stand 20472 pair #381715104
details
property
value
status
complete
benchmark
LengthOfFiniteLists_complete_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n082.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
26.066847086 seconds
cpu usage
25.969036405
max memory
3.76561664E8
stage attributes
key
value
output-size
5939
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] --> o U12 : [o] --> o U21 : [o * o] --> o U22 : [o] --> o U31 : [o * o] --> o U32 : [o] --> o U41 : [o * o * o] --> o U42 : [o * o] --> o U43 : [o] --> o U51 : [o * o * o] --> o U52 : [o * o] --> o U53 : [o] --> o U61 : [o * o] --> o active : [o] --> o and : [o * o] --> o cons : [o * o] --> o isNat : [o] --> o isNatIList : [o] --> o isNatIListKind : [o] --> o isNatKind : [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, X)) => mark(U12(isNatList(X))) active(U12(tt)) => mark(tt) active(U21(tt, X)) => mark(U22(isNat(X))) active(U22(tt)) => mark(tt) active(U31(tt, X)) => mark(U32(isNatList(X))) active(U32(tt)) => mark(tt) active(U41(tt, X, Y)) => mark(U42(isNat(X), Y)) active(U42(tt, X)) => mark(U43(isNatIList(X))) active(U43(tt)) => mark(tt) active(U51(tt, X, Y)) => mark(U52(isNat(X), Y)) active(U52(tt, X)) => mark(U53(isNatList(X))) active(U53(tt)) => mark(tt) active(U61(tt, X)) => mark(s(length(X))) active(and(tt, X)) => mark(X) active(isNat(0)) => mark(tt) active(isNat(length(X))) => mark(U11(isNatIListKind(X), X)) active(isNat(s(X))) => mark(U21(isNatKind(X), X)) active(isNatIList(X)) => mark(U31(isNatIListKind(X), X)) active(isNatIList(zeros)) => mark(tt) active(isNatIList(cons(X, Y))) => mark(U41(and(isNatKind(X), isNatIListKind(Y)), X, Y)) active(isNatIListKind(nil)) => mark(tt) active(isNatIListKind(zeros)) => mark(tt) active(isNatIListKind(cons(X, Y))) => mark(and(isNatKind(X), isNatIListKind(Y))) active(isNatKind(0)) => mark(tt) active(isNatKind(length(X))) => mark(isNatIListKind(X)) active(isNatKind(s(X))) => mark(isNatKind(X)) active(isNatList(nil)) => mark(tt) active(isNatList(cons(X, Y))) => mark(U51(and(isNatKind(X), isNatIListKind(Y)), X, Y)) active(length(nil)) => mark(0) active(length(cons(X, Y))) => mark(U61(and(and(isNatList(Y), isNatIListKind(Y)), and(isNat(X), isNatKind(X))), Y)) mark(zeros) => active(zeros) mark(cons(X, Y)) => active(cons(mark(X), Y)) mark(0) => active(0) mark(U11(X, Y)) => active(U11(mark(X), Y)) mark(tt) => active(tt) mark(U12(X)) => active(U12(mark(X))) mark(isNatList(X)) => active(isNatList(X)) mark(U21(X, Y)) => active(U21(mark(X), Y)) mark(U22(X)) => active(U22(mark(X))) mark(isNat(X)) => active(isNat(X)) mark(U31(X, Y)) => active(U31(mark(X), Y)) mark(U32(X)) => active(U32(mark(X))) mark(U41(X, Y, Z)) => active(U41(mark(X), Y, Z)) mark(U42(X, Y)) => active(U42(mark(X), Y)) mark(U43(X)) => active(U43(mark(X))) mark(isNatIList(X)) => active(isNatIList(X)) mark(U51(X, Y, Z)) => active(U51(mark(X), Y, Z)) mark(U52(X, Y)) => active(U52(mark(X), Y)) mark(U53(X)) => active(U53(mark(X))) mark(U61(X, Y)) => active(U61(mark(X), Y)) mark(s(X)) => active(s(mark(X))) mark(length(X)) => active(length(mark(X))) mark(and(X, Y)) => active(and(mark(X), Y)) mark(isNatIListKind(X)) => active(isNatIListKind(X)) mark(isNatKind(X)) => active(isNatKind(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)
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