details

property	value
status	complete
benchmark	MYNAT_nokinds_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	292.707710981 seconds
cpu usage	285.401792331
max memory	3.5414016E7

stage attributes

key	value
output-size	202915
starexec-result	"YES"

output

/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S M:S N:S V1:S V2:S X:S X1:S X2:S X3:S) (RULES a__U11(tt,N:S) -> mark(N:S) a__U11(X1:S,X2:S) -> U11(X1:S,X2:S) a__U21(tt,M:S,N:S) -> s(a__plus(mark(N:S),mark(M:S))) a__U21(X1:S,X2:S,X3:S) -> U21(X1:S,X2:S,X3:S) a__U31(tt) -> 0 a__U31(X:S) -> U31(X:S) a__U41(tt,M:S,N:S) -> a__plus(a__x(mark(N:S),mark(M:S)),mark(N:S)) a__U41(X1:S,X2:S,X3:S) -> U41(X1:S,X2:S,X3:S) a__and(tt,X:S) -> mark(X:S) a__and(X1:S,X2:S) -> and(X1:S,X2:S) a__isNat(0) -> tt a__isNat(plus(V1:S,V2:S)) -> a__and(a__isNat(V1:S),isNat(V2:S)) a__isNat(s(V1:S)) -> a__isNat(V1:S) a__isNat(x(V1:S,V2:S)) -> a__and(a__isNat(V1:S),isNat(V2:S)) a__isNat(X:S) -> isNat(X:S) a__plus(N:S,0) -> a__U11(a__isNat(N:S),N:S) a__plus(N:S,s(M:S)) -> a__U21(a__and(a__isNat(M:S),isNat(N:S)),M:S,N:S) a__plus(X1:S,X2:S) -> plus(X1:S,X2:S) a__x(N:S,0) -> a__U31(a__isNat(N:S)) a__x(N:S,s(M:S)) -> a__U41(a__and(a__isNat(M:S),isNat(N:S)),M:S,N:S) a__x(X1:S,X2:S) -> x(X1:S,X2:S) mark(0) -> 0 mark(U11(X1:S,X2:S)) -> a__U11(mark(X1:S),X2:S) mark(U21(X1:S,X2:S,X3:S)) -> a__U21(mark(X1:S),X2:S,X3:S) mark(U31(X:S)) -> a__U31(mark(X:S)) mark(U41(X1:S,X2:S,X3:S)) -> a__U41(mark(X1:S),X2:S,X3:S) mark(and(X1:S,X2:S)) -> a__and(mark(X1:S),X2:S) mark(isNat(X:S)) -> a__isNat(X:S) mark(plus(X1:S,X2:S)) -> a__plus(mark(X1:S),mark(X2:S)) mark(s(X:S)) -> s(mark(X:S)) mark(tt) -> tt mark(x(X1:S,X2:S)) -> a__x(mark(X1:S),mark(X2:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__U11(tt,N:S) -> MARK(N:S) A__U21(tt,M:S,N:S) -> A__PLUS(mark(N:S),mark(M:S)) A__U21(tt,M:S,N:S) -> MARK(M:S) A__U21(tt,M:S,N:S) -> MARK(N:S) A__U41(tt,M:S,N:S) -> A__PLUS(a__x(mark(N:S),mark(M:S)),mark(N:S)) A__U41(tt,M:S,N:S) -> A__X(mark(N:S),mark(M:S)) A__U41(tt,M:S,N:S) -> MARK(M:S) A__U41(tt,M:S,N:S) -> MARK(N:S) A__AND(tt,X:S) -> MARK(X:S) A__ISNAT(plus(V1:S,V2:S)) -> A__AND(a__isNat(V1:S),isNat(V2:S)) A__ISNAT(plus(V1:S,V2:S)) -> A__ISNAT(V1:S) A__ISNAT(s(V1:S)) -> A__ISNAT(V1:S) A__ISNAT(x(V1:S,V2:S)) -> A__AND(a__isNat(V1:S),isNat(V2:S)) A__ISNAT(x(V1:S,V2:S)) -> A__ISNAT(V1:S) A__PLUS(N:S,0) -> A__U11(a__isNat(N:S),N:S) A__PLUS(N:S,0) -> A__ISNAT(N:S) A__PLUS(N:S,s(M:S)) -> A__U21(a__and(a__isNat(M:S),isNat(N:S)),M:S,N:S) A__PLUS(N:S,s(M:S)) -> A__AND(a__isNat(M:S),isNat(N:S)) A__PLUS(N:S,s(M:S)) -> A__ISNAT(M:S) A__X(N:S,0) -> A__U31(a__isNat(N:S)) A__X(N:S,0) -> A__ISNAT(N:S) A__X(N:S,s(M:S)) -> A__U41(a__and(a__isNat(M:S),isNat(N:S)),M:S,N:S) A__X(N:S,s(M:S)) -> A__AND(a__isNat(M:S),isNat(N:S)) A__X(N:S,s(M:S)) -> A__ISNAT(M:S) MARK(U11(X1:S,X2:S)) -> A__U11(mark(X1:S),X2:S) MARK(U11(X1:S,X2:S)) -> MARK(X1:S) MARK(U21(X1:S,X2:S,X3:S)) -> A__U21(mark(X1:S),X2:S,X3:S) MARK(U21(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(U31(X:S)) -> A__U31(mark(X:S)) MARK(U31(X:S)) -> MARK(X:S) MARK(U41(X1:S,X2:S,X3:S)) -> A__U41(mark(X1:S),X2:S,X3:S) MARK(U41(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(and(X1:S,X2:S)) -> A__AND(mark(X1:S),X2:S) MARK(and(X1:S,X2:S)) -> MARK(X1:S) MARK(isNat(X:S)) -> A__ISNAT(X:S) MARK(plus(X1:S,X2:S)) -> A__PLUS(mark(X1:S),mark(X2:S)) MARK(plus(X1:S,X2:S)) -> MARK(X1:S) MARK(plus(X1:S,X2:S)) -> MARK(X2:S) MARK(s(X:S)) -> MARK(X:S) MARK(x(X1:S,X2:S)) -> A__X(mark(X1:S),mark(X2:S)) MARK(x(X1:S,X2:S)) -> MARK(X1:S) MARK(x(X1:S,X2:S)) -> MARK(X2:S) -> Rules: a__U11(tt,N:S) -> mark(N:S) a__U11(X1:S,X2:S) -> U11(X1:S,X2:S) a__U21(tt,M:S,N:S) -> s(a__plus(mark(N:S),mark(M:S))) a__U21(X1:S,X2:S,X3:S) -> U21(X1:S,X2:S,X3:S) a__U31(tt) -> 0 a__U31(X:S) -> U31(X:S) a__U41(tt,M:S,N:S) -> a__plus(a__x(mark(N:S),mark(M:S)),mark(N:S)) popout

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all output return to TRS Standard