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TRS Standard pair #516963266
details
property
value
status
complete
benchmark
PEANO_complete-noand_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n066.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
3.4942779541 seconds
cpu usage
3.522120625
max memory
1.3185024E7
stage attributes
key
value
output-size
268519
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S M:S N:S V1:S V2:S X:S X1:S X2:S) (RULES 0 -> n__0 U11(tt,V1:S,V2:S) -> U12(isNatKind(activate(V1:S)),activate(V1:S),activate(V2:S)) U12(tt,V1:S,V2:S) -> U13(isNatKind(activate(V2:S)),activate(V1:S),activate(V2:S)) U13(tt,V1:S,V2:S) -> U14(isNatKind(activate(V2:S)),activate(V1:S),activate(V2:S)) U14(tt,V1:S,V2:S) -> U15(isNat(activate(V1:S)),activate(V2:S)) U15(tt,V2:S) -> U16(isNat(activate(V2:S))) U16(tt) -> tt U21(tt,V1:S) -> U22(isNatKind(activate(V1:S)),activate(V1:S)) U22(tt,V1:S) -> U23(isNat(activate(V1:S))) U23(tt) -> tt U31(tt,V2:S) -> U32(isNatKind(activate(V2:S))) U32(tt) -> tt U41(tt) -> tt U51(tt,N:S) -> U52(isNatKind(activate(N:S)),activate(N:S)) U52(tt,N:S) -> activate(N:S) U61(tt,M:S,N:S) -> U62(isNatKind(activate(M:S)),activate(M:S),activate(N:S)) U62(tt,M:S,N:S) -> U63(isNat(activate(N:S)),activate(M:S),activate(N:S)) U63(tt,M:S,N:S) -> U64(isNatKind(activate(N:S)),activate(M:S),activate(N:S)) U64(tt,M:S,N:S) -> s(plus(activate(N:S),activate(M:S))) activate(n__0) -> 0 activate(n__plus(X1:S,X2:S)) -> plus(activate(X1:S),activate(X2:S)) activate(n__s(X:S)) -> s(activate(X:S)) activate(X:S) -> X:S isNat(n__0) -> tt isNat(n__plus(V1:S,V2:S)) -> U11(isNatKind(activate(V1:S)),activate(V1:S),activate(V2:S)) isNat(n__s(V1:S)) -> U21(isNatKind(activate(V1:S)),activate(V1:S)) isNatKind(n__0) -> tt isNatKind(n__plus(V1:S,V2:S)) -> U31(isNatKind(activate(V1:S)),activate(V2:S)) isNatKind(n__s(V1:S)) -> U41(isNatKind(activate(V1:S))) plus(N:S,0) -> U51(isNat(N:S),N:S) plus(N:S,s(M:S)) -> U61(isNat(M:S),M:S,N:S) plus(X1:S,X2:S) -> n__plus(X1:S,X2:S) s(X:S) -> n__s(X:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: U11#(tt,V1:S,V2:S) -> U12#(isNatKind(activate(V1:S)),activate(V1:S),activate(V2:S)) U11#(tt,V1:S,V2:S) -> ACTIVATE(V1:S) U11#(tt,V1:S,V2:S) -> ACTIVATE(V2:S) U11#(tt,V1:S,V2:S) -> ISNATKIND(activate(V1:S)) U12#(tt,V1:S,V2:S) -> U13#(isNatKind(activate(V2:S)),activate(V1:S),activate(V2:S)) U12#(tt,V1:S,V2:S) -> ACTIVATE(V1:S) U12#(tt,V1:S,V2:S) -> ACTIVATE(V2:S) U12#(tt,V1:S,V2:S) -> ISNATKIND(activate(V2:S)) U13#(tt,V1:S,V2:S) -> U14#(isNatKind(activate(V2:S)),activate(V1:S),activate(V2:S)) U13#(tt,V1:S,V2:S) -> ACTIVATE(V1:S) U13#(tt,V1:S,V2:S) -> ACTIVATE(V2:S) U13#(tt,V1:S,V2:S) -> ISNATKIND(activate(V2:S)) U14#(tt,V1:S,V2:S) -> U15#(isNat(activate(V1:S)),activate(V2:S)) U14#(tt,V1:S,V2:S) -> ACTIVATE(V1:S) U14#(tt,V1:S,V2:S) -> ACTIVATE(V2:S) U14#(tt,V1:S,V2:S) -> ISNAT(activate(V1:S)) U15#(tt,V2:S) -> U16#(isNat(activate(V2:S))) U15#(tt,V2:S) -> ACTIVATE(V2:S) U15#(tt,V2:S) -> ISNAT(activate(V2:S)) U21#(tt,V1:S) -> U22#(isNatKind(activate(V1:S)),activate(V1:S)) U21#(tt,V1:S) -> ACTIVATE(V1:S) U21#(tt,V1:S) -> ISNATKIND(activate(V1:S)) U22#(tt,V1:S) -> U23#(isNat(activate(V1:S))) U22#(tt,V1:S) -> ACTIVATE(V1:S) U22#(tt,V1:S) -> ISNAT(activate(V1:S)) U31#(tt,V2:S) -> U32#(isNatKind(activate(V2:S))) U31#(tt,V2:S) -> ACTIVATE(V2:S) U31#(tt,V2:S) -> ISNATKIND(activate(V2:S)) U51#(tt,N:S) -> U52#(isNatKind(activate(N:S)),activate(N:S)) U51#(tt,N:S) -> ACTIVATE(N:S) U51#(tt,N:S) -> ISNATKIND(activate(N:S)) U52#(tt,N:S) -> ACTIVATE(N:S) U61#(tt,M:S,N:S) -> U62#(isNatKind(activate(M:S)),activate(M:S),activate(N:S)) U61#(tt,M:S,N:S) -> ACTIVATE(M:S) U61#(tt,M:S,N:S) -> ACTIVATE(N:S) U61#(tt,M:S,N:S) -> ISNATKIND(activate(M:S)) U62#(tt,M:S,N:S) -> U63#(isNat(activate(N:S)),activate(M:S),activate(N:S)) U62#(tt,M:S,N:S) -> ACTIVATE(M:S) U62#(tt,M:S,N:S) -> ACTIVATE(N:S) U62#(tt,M:S,N:S) -> ISNAT(activate(N:S)) U63#(tt,M:S,N:S) -> U64#(isNatKind(activate(N:S)),activate(M:S),activate(N:S)) U63#(tt,M:S,N:S) -> ACTIVATE(M:S) U63#(tt,M:S,N:S) -> ACTIVATE(N:S) U63#(tt,M:S,N:S) -> ISNATKIND(activate(N:S)) U64#(tt,M:S,N:S) -> ACTIVATE(M:S) U64#(tt,M:S,N:S) -> ACTIVATE(N:S) U64#(tt,M:S,N:S) -> PLUS(activate(N:S),activate(M:S)) U64#(tt,M:S,N:S) -> S(plus(activate(N:S),activate(M:S))) ACTIVATE(n__0) -> 0#
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