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TRS Innermost pair #487093160
details
property
value
status
complete
benchmark
OvConsOS_nokinds_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
1.13166 seconds
cpu usage
1.10242
user time
0.991179
system time
0.111244
max virtual memory
453920.0
max residence set size
13568.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S IL:S L:S M:S N:S V:S V1:S V2:S X:S X1:S X2:S X3:S X4:S) (RULES a__U11(tt) -> tt a__U11(X:S) -> U11(X:S) a__U21(tt) -> tt a__U21(X:S) -> U21(X:S) a__U31(tt) -> tt a__U31(X:S) -> U31(X:S) a__U41(tt,V2:S) -> a__U42(a__isNatIList(V2:S)) a__U41(X1:S,X2:S) -> U41(X1:S,X2:S) a__U42(tt) -> tt a__U42(X:S) -> U42(X:S) a__U51(tt,V2:S) -> a__U52(a__isNatList(V2:S)) a__U51(X1:S,X2:S) -> U51(X1:S,X2:S) a__U52(tt) -> tt a__U52(X:S) -> U52(X:S) a__U61(tt,V2:S) -> a__U62(a__isNatIList(V2:S)) a__U61(X1:S,X2:S) -> U61(X1:S,X2:S) a__U62(tt) -> tt a__U62(X:S) -> U62(X:S) a__U71(tt,L:S,N:S) -> a__U72(a__isNat(N:S),L:S) a__U71(X1:S,X2:S,X3:S) -> U71(X1:S,X2:S,X3:S) a__U72(tt,L:S) -> s(a__length(mark(L:S))) a__U72(X1:S,X2:S) -> U72(X1:S,X2:S) a__U81(tt) -> nil a__U81(X:S) -> U81(X:S) a__U91(tt,IL:S,M:S,N:S) -> a__U92(a__isNat(M:S),IL:S,M:S,N:S) a__U91(X1:S,X2:S,X3:S,X4:S) -> U91(X1:S,X2:S,X3:S,X4:S) a__U92(tt,IL:S,M:S,N:S) -> a__U93(a__isNat(N:S),IL:S,M:S,N:S) a__U92(X1:S,X2:S,X3:S,X4:S) -> U92(X1:S,X2:S,X3:S,X4:S) a__U93(tt,IL:S,M:S,N:S) -> cons(mark(N:S),take(M:S,IL:S)) a__U93(X1:S,X2:S,X3:S,X4:S) -> U93(X1:S,X2:S,X3:S,X4:S) a__isNat(0) -> tt a__isNat(length(V1:S)) -> a__U11(a__isNatList(V1:S)) a__isNat(s(V1:S)) -> a__U21(a__isNat(V1:S)) a__isNat(X:S) -> isNat(X:S) a__isNatIList(cons(V1:S,V2:S)) -> a__U41(a__isNat(V1:S),V2:S) a__isNatIList(zeros) -> tt a__isNatIList(V:S) -> a__U31(a__isNatList(V:S)) a__isNatIList(X:S) -> isNatIList(X:S) a__isNatList(cons(V1:S,V2:S)) -> a__U51(a__isNat(V1:S),V2:S) a__isNatList(nil) -> tt a__isNatList(take(V1:S,V2:S)) -> a__U61(a__isNat(V1:S),V2:S) a__isNatList(X:S) -> isNatList(X:S) a__length(cons(N:S,L:S)) -> a__U71(a__isNatList(L:S),L:S,N:S) a__length(nil) -> 0 a__length(X:S) -> length(X:S) a__take(0,IL:S) -> a__U81(a__isNatIList(IL:S)) a__take(s(M:S),cons(N:S,IL:S)) -> a__U91(a__isNatIList(IL:S),IL:S,M:S,N:S) a__take(X1:S,X2:S) -> take(X1:S,X2:S) a__zeros -> cons(0,zeros) a__zeros -> zeros mark(0) -> 0 mark(U11(X:S)) -> a__U11(mark(X:S)) mark(U21(X:S)) -> a__U21(mark(X:S)) mark(U31(X:S)) -> a__U31(mark(X:S)) mark(U41(X1:S,X2:S)) -> a__U41(mark(X1:S),X2:S) mark(U42(X:S)) -> a__U42(mark(X:S)) mark(U51(X1:S,X2:S)) -> a__U51(mark(X1:S),X2:S) mark(U52(X:S)) -> a__U52(mark(X:S)) mark(U61(X1:S,X2:S)) -> a__U61(mark(X1:S),X2:S) mark(U62(X:S)) -> a__U62(mark(X:S)) mark(U71(X1:S,X2:S,X3:S)) -> a__U71(mark(X1:S),X2:S,X3:S) mark(U72(X1:S,X2:S)) -> a__U72(mark(X1:S),X2:S) mark(U81(X:S)) -> a__U81(mark(X:S)) mark(U91(X1:S,X2:S,X3:S,X4:S)) -> a__U91(mark(X1:S),X2:S,X3:S,X4:S) mark(U92(X1:S,X2:S,X3:S,X4:S)) -> a__U92(mark(X1:S),X2:S,X3:S,X4:S) mark(U93(X1:S,X2:S,X3:S,X4:S)) -> a__U93(mark(X1:S),X2:S,X3:S,X4:S) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(isNat(X:S)) -> a__isNat(X:S) mark(isNatIList(X:S)) -> a__isNatIList(X:S) mark(isNatList(X:S)) -> a__isNatList(X:S) mark(length(X:S)) -> a__length(mark(X:S)) mark(nil) -> nil mark(s(X:S)) -> s(mark(X:S)) mark(take(X1:S,X2:S)) -> a__take(mark(X1:S),mark(X2:S)) mark(tt) -> tt mark(zeros) -> a__zeros ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: A__U41(tt,V2:S) -> A__U42(a__isNatIList(V2:S)) A__U41(tt,V2:S) -> A__ISNATILIST(V2:S) A__U51(tt,V2:S) -> A__U52(a__isNatList(V2:S)) A__U51(tt,V2:S) -> A__ISNATLIST(V2:S) A__U61(tt,V2:S) -> A__U62(a__isNatIList(V2:S)) A__U61(tt,V2:S) -> A__ISNATILIST(V2:S) A__U71(tt,L:S,N:S) -> A__U72(a__isNat(N:S),L:S) A__U71(tt,L:S,N:S) -> A__ISNAT(N:S) A__U72(tt,L:S) -> A__LENGTH(mark(L:S)) A__U72(tt,L:S) -> MARK(L:S) A__U91(tt,IL:S,M:S,N:S) -> A__U92(a__isNat(M:S),IL:S,M:S,N:S)
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