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TRS Standard pair #516961858
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nokinds_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n003.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
33.294506073 seconds
cpu usage
34.213426247
max memory
1.43110144E8
stage attributes
key
value
output-size
17086
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: active(zeros()) -> mark(cons(0(),zeros())) 2: active(U11(tt(),L)) -> mark(s(length(L))) 3: active(and(tt(),X)) -> mark(X) 4: active(isNat(0())) -> mark(tt()) 5: active(isNat(length(V1))) -> mark(isNatList(V1)) 6: active(isNat(s(V1))) -> mark(isNat(V1)) 7: active(isNatIList(V)) -> mark(isNatList(V)) 8: active(isNatIList(zeros())) -> mark(tt()) 9: active(isNatIList(cons(V1,V2))) -> mark(and(isNat(V1),isNatIList(V2))) 10: active(isNatList(nil())) -> mark(tt()) 11: active(isNatList(cons(V1,V2))) -> mark(and(isNat(V1),isNatList(V2))) 12: active(length(nil())) -> mark(0()) 13: active(length(cons(N,L))) -> mark(U11(and(isNatList(L),isNat(N)),L)) 14: mark(zeros()) -> active(zeros()) 15: mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) 16: mark(0()) -> active(0()) 17: mark(U11(X1,X2)) -> active(U11(mark(X1),X2)) 18: mark(tt()) -> active(tt()) 19: mark(s(X)) -> active(s(mark(X))) 20: mark(length(X)) -> active(length(mark(X))) 21: mark(and(X1,X2)) -> active(and(mark(X1),X2)) 22: mark(isNat(X)) -> active(isNat(X)) 23: mark(isNatList(X)) -> active(isNatList(X)) 24: mark(isNatIList(X)) -> active(isNatIList(X)) 25: mark(nil()) -> active(nil()) 26: cons(mark(X1),X2) -> cons(X1,X2) 27: cons(X1,mark(X2)) -> cons(X1,X2) 28: cons(active(X1),X2) -> cons(X1,X2) 29: cons(X1,active(X2)) -> cons(X1,X2) 30: U11(mark(X1),X2) -> U11(X1,X2) 31: U11(X1,mark(X2)) -> U11(X1,X2) 32: U11(active(X1),X2) -> U11(X1,X2) 33: U11(X1,active(X2)) -> U11(X1,X2) 34: s(mark(X)) -> s(X) 35: s(active(X)) -> s(X) 36: length(mark(X)) -> length(X) 37: length(active(X)) -> length(X) 38: and(mark(X1),X2) -> and(X1,X2) 39: and(X1,mark(X2)) -> and(X1,X2) 40: and(active(X1),X2) -> and(X1,X2) 41: and(X1,active(X2)) -> and(X1,X2) 42: isNat(mark(X)) -> isNat(X) 43: isNat(active(X)) -> isNat(X) 44: isNatList(mark(X)) -> isNatList(X) 45: isNatList(active(X)) -> isNatList(X) 46: isNatIList(mark(X)) -> isNatIList(X) 47: isNatIList(active(X)) -> isNatIList(X) Number of strict rules: 47 Direct poly ... removes: 8 5 10 7 12 isNatList(x1) w: (x1) U11(x1,x2) w: (12063 + x2 + x1) s(x1) w: (x1) and(x1,x2) w: (x2 + x1) isNatIList(x1) w: (6812 + x1) zeros() w: (0) 0() w: (0) nil() w: (3568) mark(x1) w: (x1) isNat(x1) w: (2 * x1) active(x1) w: (x1) cons(x1,x2) w: (2 * x2 + 2 * x1) tt() w: (0) length(x1) w: (12063 + x1) Number of strict rules: 42 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #active(U11(tt(),L)) -> #mark(s(length(L))) #2: #active(U11(tt(),L)) -> #s(length(L)) #3: #active(U11(tt(),L)) -> #length(L) #4: #isNat(active(X)) -> #isNat(X) #5: #cons(X1,active(X2)) -> #cons(X1,X2) #6: #s(active(X)) -> #s(X) #7: #isNatIList(mark(X)) -> #isNatIList(X) #8: #isNat(mark(X)) -> #isNat(X) #9: #and(X1,active(X2)) -> #and(X1,X2) #10: #length(active(X)) -> #length(X) #11: #isNatIList(active(X)) -> #isNatIList(X) #12: #and(mark(X1),X2) -> #and(X1,X2) #13: #active(isNat(s(V1))) -> #mark(isNat(V1)) #14: #active(isNat(s(V1))) -> #isNat(V1) #15: #and(active(X1),X2) -> #and(X1,X2) #16: #active(length(cons(N,L))) -> #mark(U11(and(isNatList(L),isNat(N)),L)) #17: #active(length(cons(N,L))) -> #U11(and(isNatList(L),isNat(N)),L) #18: #active(length(cons(N,L))) -> #and(isNatList(L),isNat(N)) #19: #active(length(cons(N,L))) -> #isNatList(L) #20: #active(length(cons(N,L))) -> #isNat(N) #21: #active(isNatIList(cons(V1,V2))) -> #mark(and(isNat(V1),isNatIList(V2))) #22: #active(isNatIList(cons(V1,V2))) -> #and(isNat(V1),isNatIList(V2)) #23: #active(isNatIList(cons(V1,V2))) -> #isNat(V1) #24: #active(isNatIList(cons(V1,V2))) -> #isNatIList(V2) #25: #active(isNatList(cons(V1,V2))) -> #mark(and(isNat(V1),isNatList(V2)))
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