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TRS_Innermost 2019-03-28 22.12 pair #432270827
details
property
value
status
complete
benchmark
MYNAT_nokinds_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n099.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
111.397 seconds
cpu usage
107.719
user time
97.0945
system time
10.6243
max virtual memory
817972.0
max residence set size
42392.0
stage attributes
key
value
starexec-result
YES
output
107.67/111.38 YES 107.67/111.38 107.67/111.38 Problem 1: 107.67/111.38 107.67/111.38 (VAR v_NonEmpty:S M:S N:S V1:S V2:S X:S X1:S X2:S X3:S) 107.67/111.38 (RULES 107.67/111.38 a__U11(tt,V2:S) -> a__U12(a__isNat(V2:S)) 107.67/111.38 a__U11(X1:S,X2:S) -> U11(X1:S,X2:S) 107.67/111.38 a__U12(tt) -> tt 107.67/111.38 a__U12(X:S) -> U12(X:S) 107.67/111.38 a__U21(tt) -> tt 107.67/111.38 a__U21(X:S) -> U21(X:S) 107.67/111.38 a__U31(tt,V2:S) -> a__U32(a__isNat(V2:S)) 107.67/111.38 a__U31(X1:S,X2:S) -> U31(X1:S,X2:S) 107.67/111.38 a__U32(tt) -> tt 107.67/111.38 a__U32(X:S) -> U32(X:S) 107.67/111.38 a__U41(tt,N:S) -> mark(N:S) 107.67/111.38 a__U41(X1:S,X2:S) -> U41(X1:S,X2:S) 107.67/111.38 a__U51(tt,M:S,N:S) -> a__U52(a__isNat(N:S),M:S,N:S) 107.67/111.38 a__U51(X1:S,X2:S,X3:S) -> U51(X1:S,X2:S,X3:S) 107.67/111.38 a__U52(tt,M:S,N:S) -> s(a__plus(mark(N:S),mark(M:S))) 107.67/111.38 a__U52(X1:S,X2:S,X3:S) -> U52(X1:S,X2:S,X3:S) 107.67/111.38 a__U61(tt) -> 0 107.67/111.38 a__U61(X:S) -> U61(X:S) 107.67/111.38 a__U71(tt,M:S,N:S) -> a__U72(a__isNat(N:S),M:S,N:S) 107.67/111.38 a__U71(X1:S,X2:S,X3:S) -> U71(X1:S,X2:S,X3:S) 107.67/111.38 a__U72(tt,M:S,N:S) -> a__plus(a__x(mark(N:S),mark(M:S)),mark(N:S)) 107.67/111.38 a__U72(X1:S,X2:S,X3:S) -> U72(X1:S,X2:S,X3:S) 107.67/111.38 a__isNat(0) -> tt 107.67/111.38 a__isNat(plus(V1:S,V2:S)) -> a__U11(a__isNat(V1:S),V2:S) 107.67/111.38 a__isNat(s(V1:S)) -> a__U21(a__isNat(V1:S)) 107.67/111.38 a__isNat(x(V1:S,V2:S)) -> a__U31(a__isNat(V1:S),V2:S) 107.67/111.38 a__isNat(X:S) -> isNat(X:S) 107.67/111.38 a__plus(N:S,0) -> a__U41(a__isNat(N:S),N:S) 107.67/111.38 a__plus(N:S,s(M:S)) -> a__U51(a__isNat(M:S),M:S,N:S) 107.67/111.38 a__plus(X1:S,X2:S) -> plus(X1:S,X2:S) 107.67/111.38 a__x(N:S,0) -> a__U61(a__isNat(N:S)) 107.67/111.38 a__x(N:S,s(M:S)) -> a__U71(a__isNat(M:S),M:S,N:S) 107.67/111.38 a__x(X1:S,X2:S) -> x(X1:S,X2:S) 107.67/111.38 mark(0) -> 0 107.67/111.38 mark(U11(X1:S,X2:S)) -> a__U11(mark(X1:S),X2:S) 107.67/111.38 mark(U12(X:S)) -> a__U12(mark(X:S)) 107.67/111.38 mark(U21(X:S)) -> a__U21(mark(X:S)) 107.67/111.38 mark(U31(X1:S,X2:S)) -> a__U31(mark(X1:S),X2:S) 107.67/111.38 mark(U32(X:S)) -> a__U32(mark(X:S)) 107.67/111.38 mark(U41(X1:S,X2:S)) -> a__U41(mark(X1:S),X2:S) 107.67/111.38 mark(U51(X1:S,X2:S,X3:S)) -> a__U51(mark(X1:S),X2:S,X3:S) 107.67/111.38 mark(U52(X1:S,X2:S,X3:S)) -> a__U52(mark(X1:S),X2:S,X3:S) 107.67/111.38 mark(U61(X:S)) -> a__U61(mark(X:S)) 107.67/111.38 mark(U71(X1:S,X2:S,X3:S)) -> a__U71(mark(X1:S),X2:S,X3:S) 107.67/111.38 mark(U72(X1:S,X2:S,X3:S)) -> a__U72(mark(X1:S),X2:S,X3:S) 107.67/111.38 mark(isNat(X:S)) -> a__isNat(X:S) 107.67/111.38 mark(plus(X1:S,X2:S)) -> a__plus(mark(X1:S),mark(X2:S)) 107.67/111.38 mark(s(X:S)) -> s(mark(X:S)) 107.67/111.38 mark(tt) -> tt 107.67/111.38 mark(x(X1:S,X2:S)) -> a__x(mark(X1:S),mark(X2:S)) 107.67/111.38 ) 107.67/111.38 (STRATEGY INNERMOST) 107.67/111.38 107.67/111.38 Problem 1: 107.67/111.38 107.67/111.38 Dependency Pairs Processor: 107.67/111.38 -> Pairs: 107.67/111.38 A__U11(tt,V2:S) -> A__U12(a__isNat(V2:S)) 107.67/111.38 A__U11(tt,V2:S) -> A__ISNAT(V2:S) 107.67/111.38 A__U31(tt,V2:S) -> A__U32(a__isNat(V2:S)) 107.67/111.38 A__U31(tt,V2:S) -> A__ISNAT(V2:S) 107.67/111.38 A__U41(tt,N:S) -> MARK(N:S) 107.67/111.38 A__U51(tt,M:S,N:S) -> A__U52(a__isNat(N:S),M:S,N:S) 107.67/111.38 A__U51(tt,M:S,N:S) -> A__ISNAT(N:S) 107.67/111.38 A__U52(tt,M:S,N:S) -> A__PLUS(mark(N:S),mark(M:S)) 107.67/111.38 A__U52(tt,M:S,N:S) -> MARK(M:S) 107.67/111.38 A__U52(tt,M:S,N:S) -> MARK(N:S) 107.67/111.38 A__U71(tt,M:S,N:S) -> A__U72(a__isNat(N:S),M:S,N:S) 107.67/111.38 A__U71(tt,M:S,N:S) -> A__ISNAT(N:S) 107.67/111.38 A__U72(tt,M:S,N:S) -> A__PLUS(a__x(mark(N:S),mark(M:S)),mark(N:S)) 107.67/111.38 A__U72(tt,M:S,N:S) -> A__X(mark(N:S),mark(M:S)) 107.67/111.38 A__U72(tt,M:S,N:S) -> MARK(M:S) 107.67/111.38 A__U72(tt,M:S,N:S) -> MARK(N:S) 107.67/111.38 A__ISNAT(plus(V1:S,V2:S)) -> A__U11(a__isNat(V1:S),V2:S) 107.67/111.38 A__ISNAT(plus(V1:S,V2:S)) -> A__ISNAT(V1:S) 107.67/111.38 A__ISNAT(s(V1:S)) -> A__U21(a__isNat(V1:S)) 107.67/111.38 A__ISNAT(s(V1:S)) -> A__ISNAT(V1:S) 107.67/111.38 A__ISNAT(x(V1:S,V2:S)) -> A__U31(a__isNat(V1:S),V2:S) 107.67/111.38 A__ISNAT(x(V1:S,V2:S)) -> A__ISNAT(V1:S) 107.67/111.38 A__PLUS(N:S,0) -> A__U41(a__isNat(N:S),N:S) 107.67/111.38 A__PLUS(N:S,0) -> A__ISNAT(N:S) 107.67/111.38 A__PLUS(N:S,s(M:S)) -> A__U51(a__isNat(M:S),M:S,N:S) 107.67/111.38 A__PLUS(N:S,s(M:S)) -> A__ISNAT(M:S) 107.67/111.38 A__X(N:S,0) -> A__U61(a__isNat(N:S)) 107.67/111.38 A__X(N:S,0) -> A__ISNAT(N:S) 107.67/111.38 A__X(N:S,s(M:S)) -> A__U71(a__isNat(M:S),M:S,N:S) 107.67/111.38 A__X(N:S,s(M:S)) -> A__ISNAT(M:S) 107.67/111.38 MARK(U11(X1:S,X2:S)) -> A__U11(mark(X1:S),X2:S) 107.67/111.38 MARK(U11(X1:S,X2:S)) -> MARK(X1:S) 107.67/111.38 MARK(U12(X:S)) -> A__U12(mark(X:S)) 107.67/111.38 MARK(U12(X:S)) -> MARK(X:S) 107.67/111.38 MARK(U21(X:S)) -> A__U21(mark(X:S)) 107.67/111.38 MARK(U21(X:S)) -> MARK(X:S) 107.67/111.38 MARK(U31(X1:S,X2:S)) -> A__U31(mark(X1:S),X2:S)
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return to TRS_Innermost 2019-03-28 22.12