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TRS Stand 20472 pair #381714676
details
property
value
status
complete
benchmark
PEANO_nokinds-noand_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n111.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.49872303009 seconds
cpu usage
0.513159617
max memory
6664192.0
stage attributes
key
value
output-size
46826
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 M N V1 V2 X X1 X2) (RULES 0 -> n__0 U11(tt,V2) -> U12(isNat(activate(V2))) U12(tt) -> tt U21(tt) -> tt U31(tt,N) -> activate(N) U41(tt,M,N) -> U42(isNat(activate(N)),activate(M),activate(N)) U42(tt,M,N) -> s(plus(activate(N),activate(M))) activate(n__0) -> 0 activate(n__plus(X1,X2)) -> plus(X1,X2) activate(n__s(X)) -> s(X) activate(X) -> X isNat(n__0) -> tt isNat(n__plus(V1,V2)) -> U11(isNat(activate(V1)),activate(V2)) isNat(n__s(V1)) -> U21(isNat(activate(V1))) plus(N,0) -> U31(isNat(N),N) plus(N,s(M)) -> U41(isNat(M),M,N) plus(X1,X2) -> n__plus(X1,X2) s(X) -> n__s(X) ) Problem 1: Dependency Pairs Processor: -> Pairs: U11#(tt,V2) -> U12#(isNat(activate(V2))) U11#(tt,V2) -> ACTIVATE(V2) U11#(tt,V2) -> ISNAT(activate(V2)) U31#(tt,N) -> ACTIVATE(N) U41#(tt,M,N) -> U42#(isNat(activate(N)),activate(M),activate(N)) U41#(tt,M,N) -> ACTIVATE(M) U41#(tt,M,N) -> ACTIVATE(N) U41#(tt,M,N) -> ISNAT(activate(N)) U42#(tt,M,N) -> ACTIVATE(M) U42#(tt,M,N) -> ACTIVATE(N) U42#(tt,M,N) -> PLUS(activate(N),activate(M)) U42#(tt,M,N) -> S(plus(activate(N),activate(M))) ACTIVATE(n__0) -> 0# ACTIVATE(n__plus(X1,X2)) -> PLUS(X1,X2) ACTIVATE(n__s(X)) -> S(X) ISNAT(n__plus(V1,V2)) -> U11#(isNat(activate(V1)),activate(V2)) ISNAT(n__plus(V1,V2)) -> ACTIVATE(V1) ISNAT(n__plus(V1,V2)) -> ACTIVATE(V2) ISNAT(n__plus(V1,V2)) -> ISNAT(activate(V1)) ISNAT(n__s(V1)) -> U21#(isNat(activate(V1))) ISNAT(n__s(V1)) -> ACTIVATE(V1) ISNAT(n__s(V1)) -> ISNAT(activate(V1)) PLUS(N,0) -> U31#(isNat(N),N) PLUS(N,0) -> ISNAT(N) PLUS(N,s(M)) -> U41#(isNat(M),M,N) PLUS(N,s(M)) -> ISNAT(M) -> Rules: 0 -> n__0 U11(tt,V2) -> U12(isNat(activate(V2))) U12(tt) -> tt U21(tt) -> tt U31(tt,N) -> activate(N) U41(tt,M,N) -> U42(isNat(activate(N)),activate(M),activate(N)) U42(tt,M,N) -> s(plus(activate(N),activate(M))) activate(n__0) -> 0 activate(n__plus(X1,X2)) -> plus(X1,X2) activate(n__s(X)) -> s(X) activate(X) -> X isNat(n__0) -> tt isNat(n__plus(V1,V2)) -> U11(isNat(activate(V1)),activate(V2)) isNat(n__s(V1)) -> U21(isNat(activate(V1))) plus(N,0) -> U31(isNat(N),N) plus(N,s(M)) -> U41(isNat(M),M,N) plus(X1,X2) -> n__plus(X1,X2) s(X) -> n__s(X) Problem 1: SCC Processor: -> Pairs: U11#(tt,V2) -> U12#(isNat(activate(V2))) U11#(tt,V2) -> ACTIVATE(V2) U11#(tt,V2) -> ISNAT(activate(V2)) U31#(tt,N) -> ACTIVATE(N) U41#(tt,M,N) -> U42#(isNat(activate(N)),activate(M),activate(N)) U41#(tt,M,N) -> ACTIVATE(M) U41#(tt,M,N) -> ACTIVATE(N) U41#(tt,M,N) -> ISNAT(activate(N)) U42#(tt,M,N) -> ACTIVATE(M) U42#(tt,M,N) -> ACTIVATE(N) U42#(tt,M,N) -> PLUS(activate(N),activate(M)) U42#(tt,M,N) -> S(plus(activate(N),activate(M))) ACTIVATE(n__0) -> 0# ACTIVATE(n__plus(X1,X2)) -> PLUS(X1,X2)
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