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TRS Standard pair #487070066
details
property
value
status
complete
benchmark
PEANO_nokinds_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n177.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.074908 seconds
cpu usage
0.03293
user time
0.022418
system time
0.010512
max virtual memory
113188.0
max residence set size
9236.0
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(activate(X1),activate(X2)) 15: activate(n__isNat(X)) -> isNat(X) 16: activate(n__s(X)) -> s(activate(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(activate(X1),activate(X2)) #9: #activate(n__plus(X1,X2)) -> #activate(X1) #10: #activate(n__plus(X1,X2)) -> #activate(X2) #11: #plus(N,0()) -> #U11(isNat(N),N) #12: #plus(N,0()) -> #isNat(N) #13: #isNat(n__plus(V1,V2)) -> #and(isNat(activate(V1)),n__isNat(activate(V2))) #14: #isNat(n__plus(V1,V2)) -> #isNat(activate(V1)) #15: #isNat(n__plus(V1,V2)) -> #activate(V1) #16: #isNat(n__plus(V1,V2)) -> #activate(V2) #17: #activate(n__s(X)) -> #s(activate(X)) #18: #activate(n__s(X)) -> #activate(X) #19: #and(tt(),X) -> #activate(X) #20: #U11(tt(),N) -> #activate(N) #21: #plus(N,s(M)) -> #U21(and(isNat(M),n__isNat(N)),M,N) #22: #plus(N,s(M)) -> #and(isNat(M),n__isNat(N)) #23: #plus(N,s(M)) -> #isNat(M) #24: #activate(n__isNat(X)) -> #isNat(X) Number of SCCs: 1, DPs: 21 SCC { #2..6 #8..16 #18..24 } POLO(Sum)... succeeded. #0 w: 0 U21 w: x2 + x3 + 5857 U11 w: x2 s w: x1 + 5855 #isNat w: x1 + 3 activate w: x1 and w: x1 + x2 #plus w: x1 + x2 + 2 #activate w: x1 + 2 n__s w: x1 + 5855 0 w: 2 #s w: 0 n__isNat w: x1 + 2 n__plus w: x1 + x2 + 2 n__0 w: 2 isNat w: x1 + 2 plus w: x1 + x2 + 2 #U11 w: x2 + 3 #U21 w: x2 + x3 + 3 tt w: 3 #and w: x1 + x2 USABLE RULES: { 1..17 } Removed DPs: #2..6 #8..16 #18..24 Number of SCCs: 0, DPs: 0
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