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TRS Stand 20472 pair #381711668
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
n023.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.0593330860138 seconds
cpu usage
0.066338129
max memory
1.1067392E7
stage attributes
key
value
output-size
2817
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 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 + 3 U11 w: x2 s w: x1 + 2 #isNat w: x1 + 4 activate w: x1 and w: x2 #plus w: x1 + x2 + 3 #activate w: x1 + 3 n__s w: x1 + 2 0 w: 2 #s w: 0 n__isNat w: x1 + 2 n__plus w: x1 + x2 + 1 n__0 w: 2 isNat w: x1 + 2 plus w: x1 + x2 + 1 #U11 w: x2 + 4 #U21 w: x2 + x3 + 4 tt w: 4 #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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