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TRS Standard pair #487070061
details
property
value
status
complete
benchmark
PEANO_nokinds_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n178.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.184785 seconds
cpu usage
0.055771
user time
0.032485
system time
0.023286
max virtual memory
113188.0
max residence set size
6436.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: active(U11(tt(),N)) -> mark(N) 2: active(U21(tt(),M,N)) -> mark(s(plus(N,M))) 3: active(and(tt(),X)) -> mark(X) 4: active(isNat(0())) -> mark(tt()) 5: active(isNat(plus(V1,V2))) -> mark(and(isNat(V1),isNat(V2))) 6: active(isNat(s(V1))) -> mark(isNat(V1)) 7: active(plus(N,0())) -> mark(U11(isNat(N),N)) 8: active(plus(N,s(M))) -> mark(U21(and(isNat(M),isNat(N)),M,N)) 9: mark(U11(X1,X2)) -> active(U11(mark(X1),X2)) 10: mark(tt()) -> active(tt()) 11: mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3)) 12: mark(s(X)) -> active(s(mark(X))) 13: mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2))) 14: mark(and(X1,X2)) -> active(and(mark(X1),X2)) 15: mark(isNat(X)) -> active(isNat(X)) 16: mark(0()) -> active(0()) 17: U11(mark(X1),X2) -> U11(X1,X2) 18: U11(X1,mark(X2)) -> U11(X1,X2) 19: U11(active(X1),X2) -> U11(X1,X2) 20: U11(X1,active(X2)) -> U11(X1,X2) 21: U21(mark(X1),X2,X3) -> U21(X1,X2,X3) 22: U21(X1,mark(X2),X3) -> U21(X1,X2,X3) 23: U21(X1,X2,mark(X3)) -> U21(X1,X2,X3) 24: U21(active(X1),X2,X3) -> U21(X1,X2,X3) 25: U21(X1,active(X2),X3) -> U21(X1,X2,X3) 26: U21(X1,X2,active(X3)) -> U21(X1,X2,X3) 27: s(mark(X)) -> s(X) 28: s(active(X)) -> s(X) 29: plus(mark(X1),X2) -> plus(X1,X2) 30: plus(X1,mark(X2)) -> plus(X1,X2) 31: plus(active(X1),X2) -> plus(X1,X2) 32: plus(X1,active(X2)) -> plus(X1,X2) 33: and(mark(X1),X2) -> and(X1,X2) 34: and(X1,mark(X2)) -> and(X1,X2) 35: and(active(X1),X2) -> and(X1,X2) 36: and(X1,active(X2)) -> and(X1,X2) 37: isNat(mark(X)) -> isNat(X) 38: isNat(active(X)) -> isNat(X) Number of strict rules: 38 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #active(U21(tt(),M,N)) -> #mark(s(plus(N,M))) #2: #active(U21(tt(),M,N)) -> #s(plus(N,M)) #3: #active(U21(tt(),M,N)) -> #plus(N,M) #4: #plus(mark(X1),X2) -> #plus(X1,X2) #5: #and(active(X1),X2) -> #and(X1,X2) #6: #isNat(mark(X)) -> #isNat(X) #7: #isNat(active(X)) -> #isNat(X) #8: #active(isNat(s(V1))) -> #mark(isNat(V1)) #9: #active(isNat(s(V1))) -> #isNat(V1) #10: #mark(plus(X1,X2)) -> #active(plus(mark(X1),mark(X2))) #11: #mark(plus(X1,X2)) -> #plus(mark(X1),mark(X2)) #12: #mark(plus(X1,X2)) -> #mark(X1) #13: #mark(plus(X1,X2)) -> #mark(X2) #14: #mark(U11(X1,X2)) -> #active(U11(mark(X1),X2)) #15: #mark(U11(X1,X2)) -> #U11(mark(X1),X2) #16: #mark(U11(X1,X2)) -> #mark(X1) #17: #mark(U21(X1,X2,X3)) -> #active(U21(mark(X1),X2,X3)) #18: #mark(U21(X1,X2,X3)) -> #U21(mark(X1),X2,X3) #19: #mark(U21(X1,X2,X3)) -> #mark(X1) #20: #U21(active(X1),X2,X3) -> #U21(X1,X2,X3) #21: #U21(X1,X2,mark(X3)) -> #U21(X1,X2,X3) #22: #mark(s(X)) -> #active(s(mark(X))) #23: #mark(s(X)) -> #s(mark(X)) #24: #mark(s(X)) -> #mark(X) #25: #plus(active(X1),X2) -> #plus(X1,X2) #26: #mark(and(X1,X2)) -> #active(and(mark(X1),X2)) #27: #mark(and(X1,X2)) -> #and(mark(X1),X2) #28: #mark(and(X1,X2)) -> #mark(X1) #29: #plus(X1,mark(X2)) -> #plus(X1,X2) #30: #U21(X1,active(X2),X3) -> #U21(X1,X2,X3) #31: #U11(X1,active(X2)) -> #U11(X1,X2) #32: #active(plus(N,0())) -> #mark(U11(isNat(N),N)) #33: #active(plus(N,0())) -> #U11(isNat(N),N) #34: #active(plus(N,0())) -> #isNat(N) #35: #mark(tt()) -> #active(tt()) #36: #and(mark(X1),X2) -> #and(X1,X2) #37: #active(isNat(plus(V1,V2))) -> #mark(and(isNat(V1),isNat(V2))) #38: #active(isNat(plus(V1,V2))) -> #and(isNat(V1),isNat(V2)) #39: #active(isNat(plus(V1,V2))) -> #isNat(V1) #40: #active(isNat(plus(V1,V2))) -> #isNat(V2) #41: #s(active(X)) -> #s(X) #42: #U21(X1,mark(X2),X3) -> #U21(X1,X2,X3) #43: #and(X1,mark(X2)) -> #and(X1,X2) #44: #s(mark(X)) -> #s(X) #45: #U11(mark(X1),X2) -> #U11(X1,X2) #46: #plus(X1,active(X2)) -> #plus(X1,X2) #47: #U11(active(X1),X2) -> #U11(X1,X2) #48: #U21(X1,X2,active(X3)) -> #U21(X1,X2,X3) #49: #and(X1,active(X2)) -> #and(X1,X2) #50: #U21(mark(X1),X2,X3) -> #U21(X1,X2,X3) #51: #mark(0()) -> #active(0()) #52: #active(and(tt(),X)) -> #mark(X) #53: #active(U11(tt(),N)) -> #mark(N) #54: #active(plus(N,s(M))) -> #mark(U21(and(isNat(M),isNat(N)),M,N)) #55: #active(plus(N,s(M))) -> #U21(and(isNat(M),isNat(N)),M,N) #56: #active(plus(N,s(M))) -> #and(isNat(M),isNat(N))
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