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TRS Standard pair #487069446
details
property
value
status
complete
benchmark
PEANO_nokinds_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n181.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0727969 seconds
cpu usage
0.029483
user time
0.015139
system time
0.014344
max virtual memory
113188.0
max residence set size
7716.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: U11(tt(),N) -> activate(N) 2: U21(tt(),M,N) -> s(plus(activate(N),activate(M))) 3: and(tt(),X) -> activate(X) 4: isNat(n__0()) -> tt() 5: isNat(n__plus(V1,V2)) -> and(isNat(activate(V1)),n__isNat(activate(V2))) 6: isNat(n__s(V1)) -> isNat(activate(V1)) 7: plus(N,0()) -> U11(isNat(N),N) 8: plus(N,s(M)) -> U21(and(isNat(M),n__isNat(N)),M,N) 9: 0() -> n__0() 10: plus(X1,X2) -> n__plus(X1,X2) 11: isNat(X) -> n__isNat(X) 12: s(X) -> n__s(X) 13: activate(n__0()) -> 0() 14: activate(n__plus(X1,X2)) -> plus(X1,X2) 15: activate(n__isNat(X)) -> isNat(X) 16: activate(n__s(X)) -> s(X) 17: activate(X) -> X Number of strict rules: 17 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #U21(tt(),M,N) -> #s(plus(activate(N),activate(M))) #2: #U21(tt(),M,N) -> #plus(activate(N),activate(M)) #3: #U21(tt(),M,N) -> #activate(N) #4: #U21(tt(),M,N) -> #activate(M) #5: #isNat(n__s(V1)) -> #isNat(activate(V1)) #6: #isNat(n__s(V1)) -> #activate(V1) #7: #activate(n__0()) -> #0() #8: #activate(n__plus(X1,X2)) -> #plus(X1,X2) #9: #plus(N,0()) -> #U11(isNat(N),N) #10: #plus(N,0()) -> #isNat(N) #11: #isNat(n__plus(V1,V2)) -> #and(isNat(activate(V1)),n__isNat(activate(V2))) #12: #isNat(n__plus(V1,V2)) -> #isNat(activate(V1)) #13: #isNat(n__plus(V1,V2)) -> #activate(V1) #14: #isNat(n__plus(V1,V2)) -> #activate(V2) #15: #activate(n__s(X)) -> #s(X) #16: #and(tt(),X) -> #activate(X) #17: #U11(tt(),N) -> #activate(N) #18: #plus(N,s(M)) -> #U21(and(isNat(M),n__isNat(N)),M,N) #19: #plus(N,s(M)) -> #and(isNat(M),n__isNat(N)) #20: #plus(N,s(M)) -> #isNat(M) #21: #activate(n__isNat(X)) -> #isNat(X) Number of SCCs: 1, DPs: 18 SCC { #2..6 #8..14 #16..21 } POLO(Sum)... succeeded. #0 w: 0 U21 w: x2 + x3 + 25911 U11 w: x2 s w: x1 + 25908 #isNat w: x1 activate w: x1 and w: x1 + x2 #plus w: x1 + x2 + 2 #activate w: x1 n__s w: x1 + 25908 0 w: 47339 #s w: 0 n__isNat w: x1 + 1 n__plus w: x1 + x2 + 3 n__0 w: 47339 isNat w: x1 + 1 plus w: x1 + x2 + 3 #U11 w: x2 + 1 #U21 w: x2 + x3 + 3 tt w: 2241 #and w: x2 + 1 USABLE RULES: { 1..17 } Removed DPs: #2..6 #8..14 #16..21 Number of SCCs: 0, DPs: 0
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