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TRS Innermost pair #487093400
details
property
value
status
complete
benchmark
LengthOfFiniteLists_complete_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
1.57759 seconds
cpu usage
1.54013
user time
1.43134
system time
0.10879
max virtual memory
719376.0
max residence set size
16392.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S L:S N:S V:S V1:S V2:S X:S X1:S X2:S X3:S) (RULES a__U11(tt,V1:S) -> a__U12(a__isNatIListKind(V1:S),V1:S) a__U11(X1:S,X2:S) -> U11(X1:S,X2:S) a__U12(tt,V1:S) -> a__U13(a__isNatList(V1:S)) a__U12(X1:S,X2:S) -> U12(X1:S,X2:S) a__U13(tt) -> tt a__U13(X:S) -> U13(X:S) a__U21(tt,V1:S) -> a__U22(a__isNatKind(V1:S),V1:S) a__U21(X1:S,X2:S) -> U21(X1:S,X2:S) a__U22(tt,V1:S) -> a__U23(a__isNat(V1:S)) a__U22(X1:S,X2:S) -> U22(X1:S,X2:S) a__U23(tt) -> tt a__U23(X:S) -> U23(X:S) a__U31(tt,V:S) -> a__U32(a__isNatIListKind(V:S),V:S) a__U31(X1:S,X2:S) -> U31(X1:S,X2:S) a__U32(tt,V:S) -> a__U33(a__isNatList(V:S)) a__U32(X1:S,X2:S) -> U32(X1:S,X2:S) a__U33(tt) -> tt a__U33(X:S) -> U33(X:S) a__U41(tt,V1:S,V2:S) -> a__U42(a__isNatKind(V1:S),V1:S,V2:S) a__U41(X1:S,X2:S,X3:S) -> U41(X1:S,X2:S,X3:S) a__U42(tt,V1:S,V2:S) -> a__U43(a__isNatIListKind(V2:S),V1:S,V2:S) a__U42(X1:S,X2:S,X3:S) -> U42(X1:S,X2:S,X3:S) a__U43(tt,V1:S,V2:S) -> a__U44(a__isNatIListKind(V2:S),V1:S,V2:S) a__U43(X1:S,X2:S,X3:S) -> U43(X1:S,X2:S,X3:S) a__U44(tt,V1:S,V2:S) -> a__U45(a__isNat(V1:S),V2:S) a__U44(X1:S,X2:S,X3:S) -> U44(X1:S,X2:S,X3:S) a__U45(tt,V2:S) -> a__U46(a__isNatIList(V2:S)) a__U45(X1:S,X2:S) -> U45(X1:S,X2:S) a__U46(tt) -> tt a__U46(X:S) -> U46(X:S) a__U51(tt,V2:S) -> a__U52(a__isNatIListKind(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) -> tt a__U61(X:S) -> U61(X:S) a__U71(tt) -> tt a__U71(X:S) -> U71(X:S) a__U81(tt,V1:S,V2:S) -> a__U82(a__isNatKind(V1:S),V1:S,V2:S) a__U81(X1:S,X2:S,X3:S) -> U81(X1:S,X2:S,X3:S) a__U82(tt,V1:S,V2:S) -> a__U83(a__isNatIListKind(V2:S),V1:S,V2:S) a__U82(X1:S,X2:S,X3:S) -> U82(X1:S,X2:S,X3:S) a__U83(tt,V1:S,V2:S) -> a__U84(a__isNatIListKind(V2:S),V1:S,V2:S) a__U83(X1:S,X2:S,X3:S) -> U83(X1:S,X2:S,X3:S) a__U84(tt,V1:S,V2:S) -> a__U85(a__isNat(V1:S),V2:S) a__U84(X1:S,X2:S,X3:S) -> U84(X1:S,X2:S,X3:S) a__U85(tt,V2:S) -> a__U86(a__isNatList(V2:S)) a__U85(X1:S,X2:S) -> U85(X1:S,X2:S) a__U86(tt) -> tt a__U86(X:S) -> U86(X:S) a__U91(tt,L:S,N:S) -> a__U92(a__isNatIListKind(L:S),L:S,N:S) a__U91(X1:S,X2:S,X3:S) -> U91(X1:S,X2:S,X3:S) a__U92(tt,L:S,N:S) -> a__U93(a__isNat(N:S),L:S,N:S) a__U92(X1:S,X2:S,X3:S) -> U92(X1:S,X2:S,X3:S) a__U93(tt,L:S,N:S) -> a__U94(a__isNatKind(N:S),L:S) a__U93(X1:S,X2:S,X3:S) -> U93(X1:S,X2:S,X3:S) a__U94(tt,L:S) -> s(a__length(mark(L:S))) a__U94(X1:S,X2:S) -> U94(X1:S,X2:S) a__isNat(0) -> tt a__isNat(length(V1:S)) -> a__U11(a__isNatIListKind(V1:S),V1:S) a__isNat(s(V1:S)) -> a__U21(a__isNatKind(V1:S),V1:S) a__isNat(X:S) -> isNat(X:S) a__isNatIList(cons(V1:S,V2:S)) -> a__U41(a__isNatKind(V1:S),V1:S,V2:S) a__isNatIList(zeros) -> tt a__isNatIList(V:S) -> a__U31(a__isNatIListKind(V:S),V:S) a__isNatIList(X:S) -> isNatIList(X:S) a__isNatIListKind(cons(V1:S,V2:S)) -> a__U51(a__isNatKind(V1:S),V2:S) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(X:S) -> isNatIListKind(X:S) a__isNatKind(0) -> tt a__isNatKind(length(V1:S)) -> a__U61(a__isNatIListKind(V1:S)) a__isNatKind(s(V1:S)) -> a__U71(a__isNatKind(V1:S)) a__isNatKind(X:S) -> isNatKind(X:S) a__isNatList(cons(V1:S,V2:S)) -> a__U81(a__isNatKind(V1:S),V1:S,V2:S) a__isNatList(nil) -> tt a__isNatList(X:S) -> isNatList(X:S) a__length(cons(N:S,L:S)) -> a__U91(a__isNatList(L:S),L:S,N:S) a__length(nil) -> 0 a__length(X:S) -> length(X:S) a__zeros -> cons(0,zeros) a__zeros -> zeros mark(0) -> 0 mark(U11(X1:S,X2:S)) -> a__U11(mark(X1:S),X2:S) mark(U12(X1:S,X2:S)) -> a__U12(mark(X1:S),X2:S) mark(U13(X:S)) -> a__U13(mark(X:S)) mark(U21(X1:S,X2:S)) -> a__U21(mark(X1:S),X2:S) mark(U22(X1:S,X2:S)) -> a__U22(mark(X1:S),X2:S) mark(U23(X:S)) -> a__U23(mark(X:S)) mark(U31(X1:S,X2:S)) -> a__U31(mark(X1:S),X2:S) mark(U32(X1:S,X2:S)) -> a__U32(mark(X1:S),X2:S) mark(U33(X:S)) -> a__U33(mark(X:S)) mark(U41(X1:S,X2:S,X3:S)) -> a__U41(mark(X1:S),X2:S,X3:S) mark(U42(X1:S,X2:S,X3:S)) -> a__U42(mark(X1:S),X2:S,X3:S)
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