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TRS Standard pair #516962673
details
property
value
status
complete
benchmark
MYNAT_complete_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n084.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
20.7059779167 seconds
cpu usage
20.854786586
max memory
8.5843968E7
stage attributes
key
value
output-size
41792
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: a__U101(tt(),M,N) -> a__U102(a__isNatKind(M),M,N) 2: a__U102(tt(),M,N) -> a__U103(a__isNat(N),M,N) 3: a__U103(tt(),M,N) -> a__U104(a__isNatKind(N),M,N) 4: a__U104(tt(),M,N) -> a__plus(a__x(mark(N),mark(M)),mark(N)) 5: a__U11(tt(),V1,V2) -> a__U12(a__isNatKind(V1),V1,V2) 6: a__U12(tt(),V1,V2) -> a__U13(a__isNatKind(V2),V1,V2) 7: a__U13(tt(),V1,V2) -> a__U14(a__isNatKind(V2),V1,V2) 8: a__U14(tt(),V1,V2) -> a__U15(a__isNat(V1),V2) 9: a__U15(tt(),V2) -> a__U16(a__isNat(V2)) 10: a__U16(tt()) -> tt() 11: a__U21(tt(),V1) -> a__U22(a__isNatKind(V1),V1) 12: a__U22(tt(),V1) -> a__U23(a__isNat(V1)) 13: a__U23(tt()) -> tt() 14: a__U31(tt(),V1,V2) -> a__U32(a__isNatKind(V1),V1,V2) 15: a__U32(tt(),V1,V2) -> a__U33(a__isNatKind(V2),V1,V2) 16: a__U33(tt(),V1,V2) -> a__U34(a__isNatKind(V2),V1,V2) 17: a__U34(tt(),V1,V2) -> a__U35(a__isNat(V1),V2) 18: a__U35(tt(),V2) -> a__U36(a__isNat(V2)) 19: a__U36(tt()) -> tt() 20: a__U41(tt(),V2) -> a__U42(a__isNatKind(V2)) 21: a__U42(tt()) -> tt() 22: a__U51(tt()) -> tt() 23: a__U61(tt(),V2) -> a__U62(a__isNatKind(V2)) 24: a__U62(tt()) -> tt() 25: a__U71(tt(),N) -> a__U72(a__isNatKind(N),N) 26: a__U72(tt(),N) -> mark(N) 27: a__U81(tt(),M,N) -> a__U82(a__isNatKind(M),M,N) 28: a__U82(tt(),M,N) -> a__U83(a__isNat(N),M,N) 29: a__U83(tt(),M,N) -> a__U84(a__isNatKind(N),M,N) 30: a__U84(tt(),M,N) -> s(a__plus(mark(N),mark(M))) 31: a__U91(tt(),N) -> a__U92(a__isNatKind(N)) 32: a__U92(tt()) -> 0() 33: a__isNat(0()) -> tt() 34: a__isNat(plus(V1,V2)) -> a__U11(a__isNatKind(V1),V1,V2) 35: a__isNat(s(V1)) -> a__U21(a__isNatKind(V1),V1) 36: a__isNat(x(V1,V2)) -> a__U31(a__isNatKind(V1),V1,V2) 37: a__isNatKind(0()) -> tt() 38: a__isNatKind(plus(V1,V2)) -> a__U41(a__isNatKind(V1),V2) 39: a__isNatKind(s(V1)) -> a__U51(a__isNatKind(V1)) 40: a__isNatKind(x(V1,V2)) -> a__U61(a__isNatKind(V1),V2) 41: a__plus(N,0()) -> a__U71(a__isNat(N),N) 42: a__plus(N,s(M)) -> a__U81(a__isNat(M),M,N) 43: a__x(N,0()) -> a__U91(a__isNat(N),N) 44: a__x(N,s(M)) -> a__U101(a__isNat(M),M,N) 45: mark(U101(X1,X2,X3)) -> a__U101(mark(X1),X2,X3) 46: mark(U102(X1,X2,X3)) -> a__U102(mark(X1),X2,X3) 47: mark(isNatKind(X)) -> a__isNatKind(X) 48: mark(U103(X1,X2,X3)) -> a__U103(mark(X1),X2,X3) 49: mark(isNat(X)) -> a__isNat(X) 50: mark(U104(X1,X2,X3)) -> a__U104(mark(X1),X2,X3) 51: mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2)) 52: mark(x(X1,X2)) -> a__x(mark(X1),mark(X2)) 53: mark(U11(X1,X2,X3)) -> a__U11(mark(X1),X2,X3) 54: mark(U12(X1,X2,X3)) -> a__U12(mark(X1),X2,X3) 55: mark(U13(X1,X2,X3)) -> a__U13(mark(X1),X2,X3) 56: mark(U14(X1,X2,X3)) -> a__U14(mark(X1),X2,X3) 57: mark(U15(X1,X2)) -> a__U15(mark(X1),X2) 58: mark(U16(X)) -> a__U16(mark(X)) 59: mark(U21(X1,X2)) -> a__U21(mark(X1),X2) 60: mark(U22(X1,X2)) -> a__U22(mark(X1),X2) 61: mark(U23(X)) -> a__U23(mark(X)) 62: mark(U31(X1,X2,X3)) -> a__U31(mark(X1),X2,X3) 63: mark(U32(X1,X2,X3)) -> a__U32(mark(X1),X2,X3) 64: mark(U33(X1,X2,X3)) -> a__U33(mark(X1),X2,X3) 65: mark(U34(X1,X2,X3)) -> a__U34(mark(X1),X2,X3) 66: mark(U35(X1,X2)) -> a__U35(mark(X1),X2) 67: mark(U36(X)) -> a__U36(mark(X)) 68: mark(U41(X1,X2)) -> a__U41(mark(X1),X2) 69: mark(U42(X)) -> a__U42(mark(X)) 70: mark(U51(X)) -> a__U51(mark(X)) 71: mark(U61(X1,X2)) -> a__U61(mark(X1),X2) 72: mark(U62(X)) -> a__U62(mark(X)) 73: mark(U71(X1,X2)) -> a__U71(mark(X1),X2) 74: mark(U72(X1,X2)) -> a__U72(mark(X1),X2) 75: mark(U81(X1,X2,X3)) -> a__U81(mark(X1),X2,X3) 76: mark(U82(X1,X2,X3)) -> a__U82(mark(X1),X2,X3) 77: mark(U83(X1,X2,X3)) -> a__U83(mark(X1),X2,X3) 78: mark(U84(X1,X2,X3)) -> a__U84(mark(X1),X2,X3) 79: mark(U91(X1,X2)) -> a__U91(mark(X1),X2) 80: mark(U92(X)) -> a__U92(mark(X)) 81: mark(tt()) -> tt() 82: mark(s(X)) -> s(mark(X)) 83: mark(0()) -> 0() 84: a__U101(X1,X2,X3) -> U101(X1,X2,X3) 85: a__U102(X1,X2,X3) -> U102(X1,X2,X3) 86: a__isNatKind(X) -> isNatKind(X) 87: a__U103(X1,X2,X3) -> U103(X1,X2,X3) 88: a__isNat(X) -> isNat(X) 89: a__U104(X1,X2,X3) -> U104(X1,X2,X3) 90: a__plus(X1,X2) -> plus(X1,X2) 91: a__x(X1,X2) -> x(X1,X2) 92: a__U11(X1,X2,X3) -> U11(X1,X2,X3)
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