details

property	value
status	complete
benchmark	LengthOfFiniteLists_complete_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n046.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	15.865 seconds
cpu usage	15.3577
user time	13.6664
system time	1.69124
max virtual memory	716340.0
max residence set size	40312.0

stage attributes

key	value
starexec-result	YES

output

15.28/15.78 YES 15.28/15.78 15.28/15.78 Problem 1: 15.28/15.78 15.28/15.78 (VAR v_NonEmpty:S L:S N:S V:S V1:S V2:S X:S X1:S X2:S X3:S) 15.28/15.78 (RULES 15.28/15.78 a__U11(tt,V1:S) -> a__U12(a__isNatList(V1:S)) 15.28/15.78 a__U11(X1:S,X2:S) -> U11(X1:S,X2:S) 15.28/15.78 a__U12(tt) -> tt 15.28/15.78 a__U12(X:S) -> U12(X:S) 15.28/15.78 a__U21(tt,V1:S) -> a__U22(a__isNat(V1:S)) 15.28/15.78 a__U21(X1:S,X2:S) -> U21(X1:S,X2:S) 15.28/15.78 a__U22(tt) -> tt 15.28/15.78 a__U22(X:S) -> U22(X:S) 15.28/15.78 a__U31(tt,V:S) -> a__U32(a__isNatList(V:S)) 15.28/15.78 a__U31(X1:S,X2:S) -> U31(X1:S,X2:S) 15.28/15.78 a__U32(tt) -> tt 15.28/15.78 a__U32(X:S) -> U32(X:S) 15.28/15.78 a__U41(tt,V1:S,V2:S) -> a__U42(a__isNat(V1:S),V2:S) 15.28/15.78 a__U41(X1:S,X2:S,X3:S) -> U41(X1:S,X2:S,X3:S) 15.28/15.78 a__U42(tt,V2:S) -> a__U43(a__isNatIList(V2:S)) 15.28/15.78 a__U42(X1:S,X2:S) -> U42(X1:S,X2:S) 15.28/15.78 a__U43(tt) -> tt 15.28/15.78 a__U43(X:S) -> U43(X:S) 15.28/15.78 a__U51(tt,V1:S,V2:S) -> a__U52(a__isNat(V1:S),V2:S) 15.28/15.78 a__U51(X1:S,X2:S,X3:S) -> U51(X1:S,X2:S,X3:S) 15.28/15.78 a__U52(tt,V2:S) -> a__U53(a__isNatList(V2:S)) 15.28/15.78 a__U52(X1:S,X2:S) -> U52(X1:S,X2:S) 15.28/15.78 a__U53(tt) -> tt 15.28/15.78 a__U53(X:S) -> U53(X:S) 15.28/15.78 a__U61(tt,L:S) -> s(a__length(mark(L:S))) 15.28/15.78 a__U61(X1:S,X2:S) -> U61(X1:S,X2:S) 15.28/15.78 a__and(tt,X:S) -> mark(X:S) 15.28/15.78 a__and(X1:S,X2:S) -> and(X1:S,X2:S) 15.28/15.78 a__isNat(0) -> tt 15.28/15.78 a__isNat(length(V1:S)) -> a__U11(a__isNatIListKind(V1:S),V1:S) 15.28/15.78 a__isNat(s(V1:S)) -> a__U21(a__isNatKind(V1:S),V1:S) 15.28/15.78 a__isNat(X:S) -> isNat(X:S) 15.28/15.78 a__isNatIList(cons(V1:S,V2:S)) -> a__U41(a__and(a__isNatKind(V1:S),isNatIListKind(V2:S)),V1:S,V2:S) 15.28/15.78 a__isNatIList(zeros) -> tt 15.28/15.78 a__isNatIList(V:S) -> a__U31(a__isNatIListKind(V:S),V:S) 15.28/15.78 a__isNatIList(X:S) -> isNatIList(X:S) 15.28/15.78 a__isNatIListKind(cons(V1:S,V2:S)) -> a__and(a__isNatKind(V1:S),isNatIListKind(V2:S)) 15.28/15.78 a__isNatIListKind(nil) -> tt 15.28/15.78 a__isNatIListKind(zeros) -> tt 15.28/15.78 a__isNatIListKind(X:S) -> isNatIListKind(X:S) 15.28/15.78 a__isNatKind(0) -> tt 15.28/15.78 a__isNatKind(length(V1:S)) -> a__isNatIListKind(V1:S) 15.28/15.78 a__isNatKind(s(V1:S)) -> a__isNatKind(V1:S) 15.28/15.78 a__isNatKind(X:S) -> isNatKind(X:S) 15.28/15.78 a__isNatList(cons(V1:S,V2:S)) -> a__U51(a__and(a__isNatKind(V1:S),isNatIListKind(V2:S)),V1:S,V2:S) 15.28/15.78 a__isNatList(nil) -> tt 15.28/15.78 a__isNatList(X:S) -> isNatList(X:S) 15.28/15.78 a__length(cons(N:S,L:S)) -> a__U61(a__and(a__and(a__isNatList(L:S),isNatIListKind(L:S)),and(isNat(N:S),isNatKind(N:S))),L:S) 15.28/15.78 a__length(nil) -> 0 15.28/15.78 a__length(X:S) -> length(X:S) 15.28/15.78 a__zeros -> cons(0,zeros) 15.28/15.78 a__zeros -> zeros 15.28/15.78 mark(0) -> 0 15.28/15.78 mark(U11(X1:S,X2:S)) -> a__U11(mark(X1:S),X2:S) 15.28/15.78 mark(U12(X:S)) -> a__U12(mark(X:S)) 15.28/15.78 mark(U21(X1:S,X2:S)) -> a__U21(mark(X1:S),X2:S) 15.28/15.78 mark(U22(X:S)) -> a__U22(mark(X:S)) 15.28/15.78 mark(U31(X1:S,X2:S)) -> a__U31(mark(X1:S),X2:S) 15.28/15.78 mark(U32(X:S)) -> a__U32(mark(X:S)) 15.28/15.78 mark(U41(X1:S,X2:S,X3:S)) -> a__U41(mark(X1:S),X2:S,X3:S) 15.28/15.78 mark(U42(X1:S,X2:S)) -> a__U42(mark(X1:S),X2:S) 15.28/15.78 mark(U43(X:S)) -> a__U43(mark(X:S)) 15.28/15.78 mark(U51(X1:S,X2:S,X3:S)) -> a__U51(mark(X1:S),X2:S,X3:S) 15.28/15.78 mark(U52(X1:S,X2:S)) -> a__U52(mark(X1:S),X2:S) 15.28/15.78 mark(U53(X:S)) -> a__U53(mark(X:S)) 15.28/15.78 mark(U61(X1:S,X2:S)) -> a__U61(mark(X1:S),X2:S) 15.28/15.78 mark(and(X1:S,X2:S)) -> a__and(mark(X1:S),X2:S) 15.28/15.78 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) 15.28/15.78 mark(isNat(X:S)) -> a__isNat(X:S) 15.28/15.78 mark(isNatIList(X:S)) -> a__isNatIList(X:S) 15.28/15.78 mark(isNatIListKind(X:S)) -> a__isNatIListKind(X:S) 15.28/15.78 mark(isNatKind(X:S)) -> a__isNatKind(X:S) 15.28/15.78 mark(isNatList(X:S)) -> a__isNatList(X:S) 15.28/15.78 mark(length(X:S)) -> a__length(mark(X:S)) 15.28/15.78 mark(nil) -> nil 15.28/15.78 mark(s(X:S)) -> s(mark(X:S)) 15.28/15.78 mark(tt) -> tt 15.28/15.78 mark(zeros) -> a__zeros 15.28/15.78 ) 15.28/15.78 (STRATEGY INNERMOST) 15.28/15.78 15.28/15.78 Problem 1: 15.28/15.78 15.28/15.78 Dependency Pairs Processor: 15.28/15.78 -> Pairs: 15.28/15.78 A__U11(tt,V1:S) -> A__U12(a__isNatList(V1:S)) 15.28/15.78 A__U11(tt,V1:S) -> A__ISNATLIST(V1:S) 15.28/15.78 A__U21(tt,V1:S) -> A__U22(a__isNat(V1:S)) 15.28/15.78 A__U21(tt,V1:S) -> A__ISNAT(V1:S) 15.28/15.78 A__U31(tt,V:S) -> A__U32(a__isNatList(V:S)) 15.28/15.78 A__U31(tt,V:S) -> A__ISNATLIST(V:S) 15.28/15.78 A__U41(tt,V1:S,V2:S) -> A__U42(a__isNat(V1:S),V2:S) 15.28/15.78 A__U41(tt,V1:S,V2:S) -> A__ISNAT(V1:S) 15.28/15.78 A__U42(tt,V2:S) -> A__U43(a__isNatIList(V2:S)) popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS_Innermost 2019-03-28 22.12