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TRS Standard pair #487071099
details
property
value
status
complete
benchmark
PEANO_nokinds-noand_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n183.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.713745 seconds
cpu usage
0.688672
user time
0.521491
system time
0.167181
max virtual memory
707376.0
max residence set size
10340.0
stage attributes
key
value
starexec-result
YES
output
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,V2:S) -> U12(isNat(activate(V2:S))) U12(tt) -> tt U21(tt) -> tt U31(tt,N:S) -> activate(N:S) U41(tt,M:S,N:S) -> U42(isNat(activate(N:S)),activate(M:S),activate(N:S)) U42(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(isNat(activate(V1:S)),activate(V2:S)) isNat(n__s(V1:S)) -> U21(isNat(activate(V1:S))) plus(N:S,0) -> U31(isNat(N:S),N:S) plus(N:S,s(M:S)) -> U41(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,V2:S) -> U12#(isNat(activate(V2:S))) U11#(tt,V2:S) -> ACTIVATE(V2:S) U11#(tt,V2:S) -> ISNAT(activate(V2:S)) U31#(tt,N:S) -> ACTIVATE(N:S) U41#(tt,M:S,N:S) -> U42#(isNat(activate(N:S)),activate(M:S),activate(N:S)) U41#(tt,M:S,N:S) -> ACTIVATE(M:S) U41#(tt,M:S,N:S) -> ACTIVATE(N:S) U41#(tt,M:S,N:S) -> ISNAT(activate(N:S)) U42#(tt,M:S,N:S) -> ACTIVATE(M:S) U42#(tt,M:S,N:S) -> ACTIVATE(N:S) U42#(tt,M:S,N:S) -> PLUS(activate(N:S),activate(M:S)) U42#(tt,M:S,N:S) -> S(plus(activate(N:S),activate(M:S))) ACTIVATE(n__0) -> 0# ACTIVATE(n__plus(X1:S,X2:S)) -> ACTIVATE(X1:S) ACTIVATE(n__plus(X1:S,X2:S)) -> ACTIVATE(X2:S) ACTIVATE(n__plus(X1:S,X2:S)) -> PLUS(activate(X1:S),activate(X2:S)) ACTIVATE(n__s(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__s(X:S)) -> S(activate(X:S)) ISNAT(n__plus(V1:S,V2:S)) -> U11#(isNat(activate(V1:S)),activate(V2:S)) ISNAT(n__plus(V1:S,V2:S)) -> ACTIVATE(V1:S) ISNAT(n__plus(V1:S,V2:S)) -> ACTIVATE(V2:S) ISNAT(n__plus(V1:S,V2:S)) -> ISNAT(activate(V1:S)) ISNAT(n__s(V1:S)) -> U21#(isNat(activate(V1:S))) ISNAT(n__s(V1:S)) -> ACTIVATE(V1:S) ISNAT(n__s(V1:S)) -> ISNAT(activate(V1:S)) PLUS(N:S,0) -> U31#(isNat(N:S),N:S) PLUS(N:S,0) -> ISNAT(N:S) PLUS(N:S,s(M:S)) -> U41#(isNat(M:S),M:S,N:S) PLUS(N:S,s(M:S)) -> ISNAT(M:S) -> Rules: 0 -> n__0 U11(tt,V2:S) -> U12(isNat(activate(V2:S))) U12(tt) -> tt U21(tt) -> tt U31(tt,N:S) -> activate(N:S) U41(tt,M:S,N:S) -> U42(isNat(activate(N:S)),activate(M:S),activate(N:S)) U42(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(isNat(activate(V1:S)),activate(V2:S)) isNat(n__s(V1:S)) -> U21(isNat(activate(V1:S))) plus(N:S,0) -> U31(isNat(N:S),N:S) plus(N:S,s(M:S)) -> U41(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: SCC Processor: -> Pairs: U11#(tt,V2:S) -> U12#(isNat(activate(V2:S))) U11#(tt,V2:S) -> ACTIVATE(V2:S) U11#(tt,V2:S) -> ISNAT(activate(V2:S)) U31#(tt,N:S) -> ACTIVATE(N:S) U41#(tt,M:S,N:S) -> U42#(isNat(activate(N:S)),activate(M:S),activate(N:S)) U41#(tt,M:S,N:S) -> ACTIVATE(M:S) U41#(tt,M:S,N:S) -> ACTIVATE(N:S) U41#(tt,M:S,N:S) -> ISNAT(activate(N:S)) U42#(tt,M:S,N:S) -> ACTIVATE(M:S) U42#(tt,M:S,N:S) -> ACTIVATE(N:S) U42#(tt,M:S,N:S) -> PLUS(activate(N:S),activate(M:S)) U42#(tt,M:S,N:S) -> S(plus(activate(N:S),activate(M:S))) ACTIVATE(n__0) -> 0# ACTIVATE(n__plus(X1:S,X2:S)) -> ACTIVATE(X1:S) ACTIVATE(n__plus(X1:S,X2:S)) -> ACTIVATE(X2:S) ACTIVATE(n__plus(X1:S,X2:S)) -> PLUS(activate(X1:S),activate(X2:S)) ACTIVATE(n__s(X:S)) -> ACTIVATE(X:S)
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