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TRS Standard pair #487070176
details
property
value
status
complete
benchmark
MYNAT_nokinds_noand_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
12.8415 seconds
cpu usage
13.04
user time
12.81
system time
0.23
max virtual memory
452504.0
max residence set size
9332.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Input TRS: 1: active(U11(tt(),V2)) -> mark(U12(isNat(V2))) 2: active(U12(tt())) -> mark(tt()) 3: active(U21(tt())) -> mark(tt()) 4: active(U31(tt(),V2)) -> mark(U32(isNat(V2))) 5: active(U32(tt())) -> mark(tt()) 6: active(U41(tt(),N)) -> mark(N) 7: active(U51(tt(),M,N)) -> mark(U52(isNat(N),M,N)) 8: active(U52(tt(),M,N)) -> mark(s(plus(N,M))) 9: active(U61(tt())) -> mark(0()) 10: active(U71(tt(),M,N)) -> mark(U72(isNat(N),M,N)) 11: active(U72(tt(),M,N)) -> mark(plus(x(N,M),N)) 12: active(isNat(0())) -> mark(tt()) 13: active(isNat(plus(V1,V2))) -> mark(U11(isNat(V1),V2)) 14: active(isNat(s(V1))) -> mark(U21(isNat(V1))) 15: active(isNat(x(V1,V2))) -> mark(U31(isNat(V1),V2)) 16: active(plus(N,0())) -> mark(U41(isNat(N),N)) 17: active(plus(N,s(M))) -> mark(U51(isNat(M),M,N)) 18: active(x(N,0())) -> mark(U61(isNat(N))) 19: active(x(N,s(M))) -> mark(U71(isNat(M),M,N)) 20: active(U11(X1,X2)) -> U11(active(X1),X2) 21: active(U12(X)) -> U12(active(X)) 22: active(U21(X)) -> U21(active(X)) 23: active(U31(X1,X2)) -> U31(active(X1),X2) 24: active(U32(X)) -> U32(active(X)) 25: active(U41(X1,X2)) -> U41(active(X1),X2) 26: active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3) 27: active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3) 28: active(s(X)) -> s(active(X)) 29: active(plus(X1,X2)) -> plus(active(X1),X2) 30: active(plus(X1,X2)) -> plus(X1,active(X2)) 31: active(U61(X)) -> U61(active(X)) 32: active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3) 33: active(U72(X1,X2,X3)) -> U72(active(X1),X2,X3) 34: active(x(X1,X2)) -> x(active(X1),X2) 35: active(x(X1,X2)) -> x(X1,active(X2)) 36: U11(mark(X1),X2) -> mark(U11(X1,X2)) 37: U12(mark(X)) -> mark(U12(X)) 38: U21(mark(X)) -> mark(U21(X)) 39: U31(mark(X1),X2) -> mark(U31(X1,X2)) 40: U32(mark(X)) -> mark(U32(X)) 41: U41(mark(X1),X2) -> mark(U41(X1,X2)) 42: U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3)) 43: U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3)) 44: s(mark(X)) -> mark(s(X)) 45: plus(mark(X1),X2) -> mark(plus(X1,X2)) 46: plus(X1,mark(X2)) -> mark(plus(X1,X2)) 47: U61(mark(X)) -> mark(U61(X)) 48: U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3)) 49: U72(mark(X1),X2,X3) -> mark(U72(X1,X2,X3)) 50: x(mark(X1),X2) -> mark(x(X1,X2)) 51: x(X1,mark(X2)) -> mark(x(X1,X2)) 52: proper(U11(X1,X2)) -> U11(proper(X1),proper(X2)) 53: proper(tt()) -> ok(tt()) 54: proper(U12(X)) -> U12(proper(X)) 55: proper(isNat(X)) -> isNat(proper(X)) 56: proper(U21(X)) -> U21(proper(X)) 57: proper(U31(X1,X2)) -> U31(proper(X1),proper(X2)) 58: proper(U32(X)) -> U32(proper(X)) 59: proper(U41(X1,X2)) -> U41(proper(X1),proper(X2)) 60: proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3)) 61: proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3)) 62: proper(s(X)) -> s(proper(X)) 63: proper(plus(X1,X2)) -> plus(proper(X1),proper(X2)) 64: proper(U61(X)) -> U61(proper(X)) 65: proper(0()) -> ok(0()) 66: proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3)) 67: proper(U72(X1,X2,X3)) -> U72(proper(X1),proper(X2),proper(X3)) 68: proper(x(X1,X2)) -> x(proper(X1),proper(X2)) 69: U11(ok(X1),ok(X2)) -> ok(U11(X1,X2)) 70: U12(ok(X)) -> ok(U12(X)) 71: isNat(ok(X)) -> ok(isNat(X)) 72: U21(ok(X)) -> ok(U21(X)) 73: U31(ok(X1),ok(X2)) -> ok(U31(X1,X2)) 74: U32(ok(X)) -> ok(U32(X)) 75: U41(ok(X1),ok(X2)) -> ok(U41(X1,X2)) 76: U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3)) 77: U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3)) 78: s(ok(X)) -> ok(s(X)) 79: plus(ok(X1),ok(X2)) -> ok(plus(X1,X2)) 80: U61(ok(X)) -> ok(U61(X)) 81: U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3)) 82: U72(ok(X1),ok(X2),ok(X3)) -> ok(U72(X1,X2,X3)) 83: x(ok(X1),ok(X2)) -> ok(x(X1,X2)) 84: top(mark(X)) -> top(proper(X)) 85: top(ok(X)) -> top(active(X)) Number of strict rules: 85 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #U52(mark(X1),X2,X3) -> #U52(X1,X2,X3) #2: #active(plus(X1,X2)) -> #plus(active(X1),X2) #3: #active(plus(X1,X2)) -> #active(X1) #4: #active(x(X1,X2)) -> #x(X1,active(X2)) #5: #active(x(X1,X2)) -> #active(X2) #6: #x(ok(X1),ok(X2)) -> #x(X1,X2) #7: #proper(U71(X1,X2,X3)) -> #U71(proper(X1),proper(X2),proper(X3)) #8: #proper(U71(X1,X2,X3)) -> #proper(X1) #9: #proper(U71(X1,X2,X3)) -> #proper(X2)
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