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TRS_Innermost 2019-03-28 22.12 pair #432271267
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
n045.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
1.74957 seconds
cpu usage
1.25306
user time
1.1857
system time
0.067361
max virtual memory
454920.0
max residence set size
16396.0
stage attributes
key
value
starexec-result
YES
output
1.18/1.73 YES 1.18/1.73 1.18/1.73 Problem 1: 1.18/1.73 1.18/1.73 (VAR v_NonEmpty:S L:S N:S V:S V1:S V2:S X:S X1:S X2:S X3:S) 1.18/1.73 (RULES 1.18/1.73 a__U11(tt,V1:S) -> a__U12(a__isNatIListKind(V1:S),V1:S) 1.18/1.73 a__U11(X1:S,X2:S) -> U11(X1:S,X2:S) 1.18/1.73 a__U12(tt,V1:S) -> a__U13(a__isNatList(V1:S)) 1.18/1.73 a__U12(X1:S,X2:S) -> U12(X1:S,X2:S) 1.18/1.73 a__U13(tt) -> tt 1.18/1.73 a__U13(X:S) -> U13(X:S) 1.18/1.73 a__U21(tt,V1:S) -> a__U22(a__isNatKind(V1:S),V1:S) 1.18/1.73 a__U21(X1:S,X2:S) -> U21(X1:S,X2:S) 1.18/1.73 a__U22(tt,V1:S) -> a__U23(a__isNat(V1:S)) 1.18/1.73 a__U22(X1:S,X2:S) -> U22(X1:S,X2:S) 1.18/1.73 a__U23(tt) -> tt 1.18/1.73 a__U23(X:S) -> U23(X:S) 1.18/1.73 a__U31(tt,V:S) -> a__U32(a__isNatIListKind(V:S),V:S) 1.18/1.73 a__U31(X1:S,X2:S) -> U31(X1:S,X2:S) 1.18/1.73 a__U32(tt,V:S) -> a__U33(a__isNatList(V:S)) 1.18/1.73 a__U32(X1:S,X2:S) -> U32(X1:S,X2:S) 1.18/1.73 a__U33(tt) -> tt 1.18/1.73 a__U33(X:S) -> U33(X:S) 1.18/1.73 a__U41(tt,V1:S,V2:S) -> a__U42(a__isNatKind(V1:S),V1:S,V2:S) 1.18/1.73 a__U41(X1:S,X2:S,X3:S) -> U41(X1:S,X2:S,X3:S) 1.18/1.73 a__U42(tt,V1:S,V2:S) -> a__U43(a__isNatIListKind(V2:S),V1:S,V2:S) 1.18/1.73 a__U42(X1:S,X2:S,X3:S) -> U42(X1:S,X2:S,X3:S) 1.18/1.73 a__U43(tt,V1:S,V2:S) -> a__U44(a__isNatIListKind(V2:S),V1:S,V2:S) 1.18/1.73 a__U43(X1:S,X2:S,X3:S) -> U43(X1:S,X2:S,X3:S) 1.18/1.73 a__U44(tt,V1:S,V2:S) -> a__U45(a__isNat(V1:S),V2:S) 1.18/1.73 a__U44(X1:S,X2:S,X3:S) -> U44(X1:S,X2:S,X3:S) 1.18/1.73 a__U45(tt,V2:S) -> a__U46(a__isNatIList(V2:S)) 1.18/1.73 a__U45(X1:S,X2:S) -> U45(X1:S,X2:S) 1.18/1.73 a__U46(tt) -> tt 1.18/1.73 a__U46(X:S) -> U46(X:S) 1.18/1.73 a__U51(tt,V2:S) -> a__U52(a__isNatIListKind(V2:S)) 1.18/1.73 a__U51(X1:S,X2:S) -> U51(X1:S,X2:S) 1.18/1.73 a__U52(tt) -> tt 1.18/1.73 a__U52(X:S) -> U52(X:S) 1.18/1.73 a__U61(tt) -> tt 1.18/1.73 a__U61(X:S) -> U61(X:S) 1.18/1.73 a__U71(tt) -> tt 1.18/1.73 a__U71(X:S) -> U71(X:S) 1.18/1.73 a__U81(tt,V1:S,V2:S) -> a__U82(a__isNatKind(V1:S),V1:S,V2:S) 1.18/1.73 a__U81(X1:S,X2:S,X3:S) -> U81(X1:S,X2:S,X3:S) 1.18/1.73 a__U82(tt,V1:S,V2:S) -> a__U83(a__isNatIListKind(V2:S),V1:S,V2:S) 1.18/1.73 a__U82(X1:S,X2:S,X3:S) -> U82(X1:S,X2:S,X3:S) 1.18/1.73 a__U83(tt,V1:S,V2:S) -> a__U84(a__isNatIListKind(V2:S),V1:S,V2:S) 1.18/1.73 a__U83(X1:S,X2:S,X3:S) -> U83(X1:S,X2:S,X3:S) 1.18/1.73 a__U84(tt,V1:S,V2:S) -> a__U85(a__isNat(V1:S),V2:S) 1.18/1.73 a__U84(X1:S,X2:S,X3:S) -> U84(X1:S,X2:S,X3:S) 1.18/1.73 a__U85(tt,V2:S) -> a__U86(a__isNatList(V2:S)) 1.18/1.73 a__U85(X1:S,X2:S) -> U85(X1:S,X2:S) 1.18/1.73 a__U86(tt) -> tt 1.18/1.73 a__U86(X:S) -> U86(X:S) 1.18/1.73 a__U91(tt,L:S,N:S) -> a__U92(a__isNatIListKind(L:S),L:S,N:S) 1.18/1.73 a__U91(X1:S,X2:S,X3:S) -> U91(X1:S,X2:S,X3:S) 1.18/1.73 a__U92(tt,L:S,N:S) -> a__U93(a__isNat(N:S),L:S,N:S) 1.18/1.73 a__U92(X1:S,X2:S,X3:S) -> U92(X1:S,X2:S,X3:S) 1.18/1.73 a__U93(tt,L:S,N:S) -> a__U94(a__isNatKind(N:S),L:S) 1.18/1.73 a__U93(X1:S,X2:S,X3:S) -> U93(X1:S,X2:S,X3:S) 1.18/1.73 a__U94(tt,L:S) -> s(a__length(mark(L:S))) 1.18/1.73 a__U94(X1:S,X2:S) -> U94(X1:S,X2:S) 1.18/1.73 a__isNat(0) -> tt 1.18/1.73 a__isNat(length(V1:S)) -> a__U11(a__isNatIListKind(V1:S),V1:S) 1.18/1.73 a__isNat(s(V1:S)) -> a__U21(a__isNatKind(V1:S),V1:S) 1.18/1.73 a__isNat(X:S) -> isNat(X:S) 1.18/1.73 a__isNatIList(cons(V1:S,V2:S)) -> a__U41(a__isNatKind(V1:S),V1:S,V2:S) 1.18/1.73 a__isNatIList(zeros) -> tt 1.18/1.73 a__isNatIList(V:S) -> a__U31(a__isNatIListKind(V:S),V:S) 1.18/1.73 a__isNatIList(X:S) -> isNatIList(X:S) 1.18/1.73 a__isNatIListKind(cons(V1:S,V2:S)) -> a__U51(a__isNatKind(V1:S),V2:S) 1.18/1.73 a__isNatIListKind(nil) -> tt 1.18/1.73 a__isNatIListKind(zeros) -> tt 1.18/1.73 a__isNatIListKind(X:S) -> isNatIListKind(X:S) 1.18/1.73 a__isNatKind(0) -> tt 1.18/1.73 a__isNatKind(length(V1:S)) -> a__U61(a__isNatIListKind(V1:S)) 1.18/1.73 a__isNatKind(s(V1:S)) -> a__U71(a__isNatKind(V1:S)) 1.18/1.73 a__isNatKind(X:S) -> isNatKind(X:S) 1.18/1.73 a__isNatList(cons(V1:S,V2:S)) -> a__U81(a__isNatKind(V1:S),V1:S,V2:S) 1.18/1.73 a__isNatList(nil) -> tt 1.18/1.73 a__isNatList(X:S) -> isNatList(X:S) 1.18/1.73 a__length(cons(N:S,L:S)) -> a__U91(a__isNatList(L:S),L:S,N:S) 1.18/1.73 a__length(nil) -> 0 1.18/1.73 a__length(X:S) -> length(X:S) 1.18/1.73 a__zeros -> cons(0,zeros) 1.18/1.73 a__zeros -> zeros 1.18/1.73 mark(0) -> 0 1.18/1.73 mark(U11(X1:S,X2:S)) -> a__U11(mark(X1:S),X2:S) 1.18/1.73 mark(U12(X1:S,X2:S)) -> a__U12(mark(X1:S),X2:S) 1.18/1.73 mark(U13(X:S)) -> a__U13(mark(X:S)) 1.18/1.73 mark(U21(X1:S,X2:S)) -> a__U21(mark(X1:S),X2:S) 1.18/1.73 mark(U22(X1:S,X2:S)) -> a__U22(mark(X1:S),X2:S) 1.18/1.73 mark(U23(X:S)) -> a__U23(mark(X:S)) 1.18/1.73 mark(U31(X1:S,X2:S)) -> a__U31(mark(X1:S),X2:S) 1.18/1.73 mark(U32(X1:S,X2:S)) -> a__U32(mark(X1:S),X2:S) 1.18/1.73 mark(U33(X:S)) -> a__U33(mark(X:S)) 1.18/1.73 mark(U41(X1:S,X2:S,X3:S)) -> a__U41(mark(X1:S),X2:S,X3:S) 1.18/1.73 mark(U42(X1:S,X2:S,X3:S)) -> a__U42(mark(X1:S),X2:S,X3:S)
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