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TRS Standard pair #516962308
details
property
value
status
complete
benchmark
MYNAT_complete_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
7.57306790352 seconds
cpu usage
7.916619356
max memory
6.148096E7
stage attributes
key
value
output-size
47123
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: active(U11(tt(),V1,V2)) -> mark(U12(isNat(V1),V2)) 2: active(U12(tt(),V2)) -> mark(U13(isNat(V2))) 3: active(U13(tt())) -> mark(tt()) 4: active(U21(tt(),V1)) -> mark(U22(isNat(V1))) 5: active(U22(tt())) -> mark(tt()) 6: active(U31(tt(),V1,V2)) -> mark(U32(isNat(V1),V2)) 7: active(U32(tt(),V2)) -> mark(U33(isNat(V2))) 8: active(U33(tt())) -> mark(tt()) 9: active(U41(tt(),N)) -> mark(N) 10: active(U51(tt(),M,N)) -> mark(s(plus(N,M))) 11: active(U61(tt())) -> mark(0()) 12: active(U71(tt(),M,N)) -> mark(plus(x(N,M),N)) 13: active(and(tt(),X)) -> mark(X) 14: active(isNat(0())) -> mark(tt()) 15: active(isNat(plus(V1,V2))) -> mark(U11(and(isNatKind(V1),isNatKind(V2)),V1,V2)) 16: active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1)) 17: active(isNat(x(V1,V2))) -> mark(U31(and(isNatKind(V1),isNatKind(V2)),V1,V2)) 18: active(isNatKind(0())) -> mark(tt()) 19: active(isNatKind(plus(V1,V2))) -> mark(and(isNatKind(V1),isNatKind(V2))) 20: active(isNatKind(s(V1))) -> mark(isNatKind(V1)) 21: active(isNatKind(x(V1,V2))) -> mark(and(isNatKind(V1),isNatKind(V2))) 22: active(plus(N,0())) -> mark(U41(and(isNat(N),isNatKind(N)),N)) 23: active(plus(N,s(M))) -> mark(U51(and(and(isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N))),M,N)) 24: active(x(N,0())) -> mark(U61(and(isNat(N),isNatKind(N)))) 25: active(x(N,s(M))) -> mark(U71(and(and(isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N))),M,N)) 26: active(U11(X1,X2,X3)) -> U11(active(X1),X2,X3) 27: active(U12(X1,X2)) -> U12(active(X1),X2) 28: active(U13(X)) -> U13(active(X)) 29: active(U21(X1,X2)) -> U21(active(X1),X2) 30: active(U22(X)) -> U22(active(X)) 31: active(U31(X1,X2,X3)) -> U31(active(X1),X2,X3) 32: active(U32(X1,X2)) -> U32(active(X1),X2) 33: active(U33(X)) -> U33(active(X)) 34: active(U41(X1,X2)) -> U41(active(X1),X2) 35: active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3) 36: active(s(X)) -> s(active(X)) 37: active(plus(X1,X2)) -> plus(active(X1),X2) 38: active(plus(X1,X2)) -> plus(X1,active(X2)) 39: active(U61(X)) -> U61(active(X)) 40: active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3) 41: active(x(X1,X2)) -> x(active(X1),X2) 42: active(x(X1,X2)) -> x(X1,active(X2)) 43: active(and(X1,X2)) -> and(active(X1),X2) 44: U11(mark(X1),X2,X3) -> mark(U11(X1,X2,X3)) 45: U12(mark(X1),X2) -> mark(U12(X1,X2)) 46: U13(mark(X)) -> mark(U13(X)) 47: U21(mark(X1),X2) -> mark(U21(X1,X2)) 48: U22(mark(X)) -> mark(U22(X)) 49: U31(mark(X1),X2,X3) -> mark(U31(X1,X2,X3)) 50: U32(mark(X1),X2) -> mark(U32(X1,X2)) 51: U33(mark(X)) -> mark(U33(X)) 52: U41(mark(X1),X2) -> mark(U41(X1,X2)) 53: U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3)) 54: s(mark(X)) -> mark(s(X)) 55: plus(mark(X1),X2) -> mark(plus(X1,X2)) 56: plus(X1,mark(X2)) -> mark(plus(X1,X2)) 57: U61(mark(X)) -> mark(U61(X)) 58: U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3)) 59: x(mark(X1),X2) -> mark(x(X1,X2)) 60: x(X1,mark(X2)) -> mark(x(X1,X2)) 61: and(mark(X1),X2) -> mark(and(X1,X2)) 62: proper(U11(X1,X2,X3)) -> U11(proper(X1),proper(X2),proper(X3)) 63: proper(tt()) -> ok(tt()) 64: proper(U12(X1,X2)) -> U12(proper(X1),proper(X2)) 65: proper(isNat(X)) -> isNat(proper(X)) 66: proper(U13(X)) -> U13(proper(X)) 67: proper(U21(X1,X2)) -> U21(proper(X1),proper(X2)) 68: proper(U22(X)) -> U22(proper(X)) 69: proper(U31(X1,X2,X3)) -> U31(proper(X1),proper(X2),proper(X3)) 70: proper(U32(X1,X2)) -> U32(proper(X1),proper(X2)) 71: proper(U33(X)) -> U33(proper(X)) 72: proper(U41(X1,X2)) -> U41(proper(X1),proper(X2)) 73: proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3)) 74: proper(s(X)) -> s(proper(X)) 75: proper(plus(X1,X2)) -> plus(proper(X1),proper(X2)) 76: proper(U61(X)) -> U61(proper(X)) 77: proper(0()) -> ok(0()) 78: proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3)) 79: proper(x(X1,X2)) -> x(proper(X1),proper(X2)) 80: proper(and(X1,X2)) -> and(proper(X1),proper(X2)) 81: proper(isNatKind(X)) -> isNatKind(proper(X)) 82: U11(ok(X1),ok(X2),ok(X3)) -> ok(U11(X1,X2,X3)) 83: U12(ok(X1),ok(X2)) -> ok(U12(X1,X2)) 84: isNat(ok(X)) -> ok(isNat(X)) 85: U13(ok(X)) -> ok(U13(X)) 86: U21(ok(X1),ok(X2)) -> ok(U21(X1,X2)) 87: U22(ok(X)) -> ok(U22(X)) 88: U31(ok(X1),ok(X2),ok(X3)) -> ok(U31(X1,X2,X3)) 89: U32(ok(X1),ok(X2)) -> ok(U32(X1,X2)) 90: U33(ok(X)) -> ok(U33(X)) 91: U41(ok(X1),ok(X2)) -> ok(U41(X1,X2)) 92: U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
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