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Runti Compl Full Rewri 10127 pair #381903542
details
property
value
status
complete
benchmark
LengthOfFiniteLists_complete-noand_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n039.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
295.178340912 seconds
cpu usage
628.386417816
max memory
1.0215800832E10
stage attributes
key
value
output-size
9106
starexec-result
WORST_CASE(Omega(n^1),?)
output
/export/starexec/sandbox/solver/bin/starexec_run_tct_rc /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1),?) * Step 1: Sum WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: 0() -> n__0() U11(tt(),V1) -> U12(isNatIListKind(activate(V1)),activate(V1)) U12(tt(),V1) -> U13(isNatList(activate(V1))) U13(tt()) -> tt() U21(tt(),V1) -> U22(isNatKind(activate(V1)),activate(V1)) U22(tt(),V1) -> U23(isNat(activate(V1))) U23(tt()) -> tt() U31(tt(),V) -> U32(isNatIListKind(activate(V)),activate(V)) U32(tt(),V) -> U33(isNatList(activate(V))) U33(tt()) -> tt() U41(tt(),V1,V2) -> U42(isNatKind(activate(V1)),activate(V1),activate(V2)) U42(tt(),V1,V2) -> U43(isNatIListKind(activate(V2)),activate(V1),activate(V2)) U43(tt(),V1,V2) -> U44(isNatIListKind(activate(V2)),activate(V1),activate(V2)) U44(tt(),V1,V2) -> U45(isNat(activate(V1)),activate(V2)) U45(tt(),V2) -> U46(isNatIList(activate(V2))) U46(tt()) -> tt() U51(tt(),V2) -> U52(isNatIListKind(activate(V2))) U52(tt()) -> tt() U61(tt()) -> tt() U71(tt()) -> tt() U81(tt(),V1,V2) -> U82(isNatKind(activate(V1)),activate(V1),activate(V2)) U82(tt(),V1,V2) -> U83(isNatIListKind(activate(V2)),activate(V1),activate(V2)) U83(tt(),V1,V2) -> U84(isNatIListKind(activate(V2)),activate(V1),activate(V2)) U84(tt(),V1,V2) -> U85(isNat(activate(V1)),activate(V2)) U85(tt(),V2) -> U86(isNatList(activate(V2))) U86(tt()) -> tt() U91(tt(),L,N) -> U92(isNatIListKind(activate(L)),activate(L),activate(N)) U92(tt(),L,N) -> U93(isNat(activate(N)),activate(L),activate(N)) U93(tt(),L,N) -> U94(isNatKind(activate(N)),activate(L)) U94(tt(),L) -> s(length(activate(L))) activate(X) -> X activate(n__0()) -> 0() activate(n__cons(X1,X2)) -> cons(activate(X1),X2) activate(n__length(X)) -> length(activate(X)) activate(n__nil()) -> nil() activate(n__s(X)) -> s(activate(X)) activate(n__zeros()) -> zeros() cons(X1,X2) -> n__cons(X1,X2) isNat(n__0()) -> tt() isNat(n__length(V1)) -> U11(isNatIListKind(activate(V1)),activate(V1)) isNat(n__s(V1)) -> U21(isNatKind(activate(V1)),activate(V1)) isNatIList(V) -> U31(isNatIListKind(activate(V)),activate(V)) isNatIList(n__cons(V1,V2)) -> U41(isNatKind(activate(V1)),activate(V1),activate(V2)) isNatIList(n__zeros()) -> tt() isNatIListKind(n__cons(V1,V2)) -> U51(isNatKind(activate(V1)),activate(V2)) isNatIListKind(n__nil()) -> tt() isNatIListKind(n__zeros()) -> tt() isNatKind(n__0()) -> tt() isNatKind(n__length(V1)) -> U61(isNatIListKind(activate(V1))) isNatKind(n__s(V1)) -> U71(isNatKind(activate(V1))) isNatList(n__cons(V1,V2)) -> U81(isNatKind(activate(V1)),activate(V1),activate(V2)) isNatList(n__nil()) -> tt() length(X) -> n__length(X) length(cons(N,L)) -> U91(isNatList(activate(L)),activate(L),N) length(nil()) -> 0() nil() -> n__nil() s(X) -> n__s(X) zeros() -> cons(0(),n__zeros()) zeros() -> n__zeros() - Signature: {0/0,U11/2,U12/2,U13/1,U21/2,U22/2,U23/1,U31/2,U32/2,U33/1,U41/3,U42/3,U43/3,U44/3,U45/2,U46/1,U51/2,U52/1 ,U61/1,U71/1,U81/3,U82/3,U83/3,U84/3,U85/2,U86/1,U91/3,U92/3,U93/3,U94/2,activate/1,cons/2,isNat/1 ,isNatIList/1,isNatIListKind/1,isNatKind/1,isNatList/1,length/1,nil/0,s/1,zeros/0} / {n__0/0,n__cons/2 ,n__length/1,n__nil/0,n__s/1,n__zeros/0,tt/0} - Obligation: runtime complexity wrt. defined symbols {0,U11,U12,U13,U21,U22,U23,U31,U32,U33,U41,U42,U43,U44,U45,U46,U51 ,U52,U61,U71,U81,U82,U83,U84,U85,U86,U91,U92,U93,U94,activate,cons,isNat,isNatIList,isNatIListKind,isNatKind ,isNatList,length,nil,s,zeros} and constructors {n__0,n__cons,n__length,n__nil,n__s,n__zeros,tt} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: 0() -> n__0() U11(tt(),V1) -> U12(isNatIListKind(activate(V1)),activate(V1)) U12(tt(),V1) -> U13(isNatList(activate(V1))) U13(tt()) -> tt() U21(tt(),V1) -> U22(isNatKind(activate(V1)),activate(V1)) U22(tt(),V1) -> U23(isNat(activate(V1))) U23(tt()) -> tt() U31(tt(),V) -> U32(isNatIListKind(activate(V)),activate(V)) U32(tt(),V) -> U33(isNatList(activate(V))) U33(tt()) -> tt() U41(tt(),V1,V2) -> U42(isNatKind(activate(V1)),activate(V1),activate(V2)) U42(tt(),V1,V2) -> U43(isNatIListKind(activate(V2)),activate(V1),activate(V2)) U43(tt(),V1,V2) -> U44(isNatIListKind(activate(V2)),activate(V1),activate(V2)) U44(tt(),V1,V2) -> U45(isNat(activate(V1)),activate(V2)) U45(tt(),V2) -> U46(isNatIList(activate(V2)))
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