Runti Compl Full Rewri 10127 pair #381903664

details

property	value
status	complete
benchmark	LengthOfFiniteLists_complete_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n078.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	tct 2018-07-13
configuration	tct_rc
runtime (wallclock)	295.140016079 seconds
cpu usage	729.989168719
max memory	1.914425344E9

stage attributes

key	value
output-size	14249
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


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WORST_CASE(Omega(n^1),?)
* Step 1: Sum WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            U11(mark(X1),X2) -> mark(U11(X1,X2))
            U11(ok(X1),ok(X2)) -> ok(U11(X1,X2))
            U12(mark(X)) -> mark(U12(X))
            U12(ok(X)) -> ok(U12(X))
            U21(mark(X1),X2) -> mark(U21(X1,X2))
            U21(ok(X1),ok(X2)) -> ok(U21(X1,X2))
            U22(mark(X)) -> mark(U22(X))
            U22(ok(X)) -> ok(U22(X))
            U31(mark(X1),X2) -> mark(U31(X1,X2))
            U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
            U32(mark(X)) -> mark(U32(X))
            U32(ok(X)) -> ok(U32(X))
            U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
            U41(ok(X1),ok(X2),ok(X3)) -> ok(U41(X1,X2,X3))
            U42(mark(X1),X2) -> mark(U42(X1,X2))
            U42(ok(X1),ok(X2)) -> ok(U42(X1,X2))
            U43(mark(X)) -> mark(U43(X))
            U43(ok(X)) -> ok(U43(X))
            U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
            U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
            U52(mark(X1),X2) -> mark(U52(X1,X2))
            U52(ok(X1),ok(X2)) -> ok(U52(X1,X2))
            U53(mark(X)) -> mark(U53(X))
            U53(ok(X)) -> ok(U53(X))
            U61(mark(X1),X2) -> mark(U61(X1,X2))
            U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
            active(U11(X1,X2)) -> U11(active(X1),X2)
            active(U11(tt(),V1)) -> mark(U12(isNatList(V1)))
            active(U12(X)) -> U12(active(X))
            active(U12(tt())) -> mark(tt())
            active(U21(X1,X2)) -> U21(active(X1),X2)
            active(U21(tt(),V1)) -> mark(U22(isNat(V1)))
            active(U22(X)) -> U22(active(X))
            active(U22(tt())) -> mark(tt())
            active(U31(X1,X2)) -> U31(active(X1),X2)
            active(U31(tt(),V)) -> mark(U32(isNatList(V)))
            active(U32(X)) -> U32(active(X))
            active(U32(tt())) -> mark(tt())
            active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
            active(U41(tt(),V1,V2)) -> mark(U42(isNat(V1),V2))
            active(U42(X1,X2)) -> U42(active(X1),X2)
            active(U42(tt(),V2)) -> mark(U43(isNatIList(V2)))
            active(U43(X)) -> U43(active(X))
            active(U43(tt())) -> mark(tt())
            active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
            active(U51(tt(),V1,V2)) -> mark(U52(isNat(V1),V2))
            active(U52(X1,X2)) -> U52(active(X1),X2)
            active(U52(tt(),V2)) -> mark(U53(isNatList(V2)))
            active(U53(X)) -> U53(active(X))
            active(U53(tt())) -> mark(tt())
            active(U61(X1,X2)) -> U61(active(X1),X2)
            active(U61(tt(),L)) -> mark(s(length(L)))
            active(and(X1,X2)) -> and(active(X1),X2)
            active(and(tt(),X)) -> mark(X)
            active(cons(X1,X2)) -> cons(active(X1),X2)
            active(isNat(0())) -> mark(tt())
            active(isNat(length(V1))) -> mark(U11(isNatIListKind(V1),V1))
            active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1))
            active(isNatIList(V)) -> mark(U31(isNatIListKind(V),V))
            active(isNatIList(cons(V1,V2))) -> mark(U41(and(isNatKind(V1),isNatIListKind(V2)),V1,V2))
            active(isNatIList(zeros())) -> mark(tt())
            active(isNatIListKind(cons(V1,V2))) -> mark(and(isNatKind(V1),isNatIListKind(V2)))
            active(isNatIListKind(nil())) -> mark(tt())
            active(isNatIListKind(zeros())) -> mark(tt())
            active(isNatKind(0())) -> mark(tt())
            active(isNatKind(length(V1))) -> mark(isNatIListKind(V1))
            active(isNatKind(s(V1))) -> mark(isNatKind(V1))
            active(isNatList(cons(V1,V2))) -> mark(U51(and(isNatKind(V1),isNatIListKind(V2)),V1,V2))
            active(isNatList(nil())) -> mark(tt())
            active(length(X)) -> length(active(X))
            active(length(cons(N,L))) -> mark(U61(and(and(isNatList(L),isNatIListKind(L)),and(isNat(N),isNatKind(N)))
                                                 ,L))
            active(length(nil())) -> mark(0())
            active(s(X)) -> s(active(X))
            active(zeros()) -> mark(cons(0(),zeros()))
            and(mark(X1),X2) -> mark(and(X1,X2))
            and(ok(X1),ok(X2)) -> ok(and(X1,X2))
            cons(mark(X1),X2) -> mark(cons(X1,X2))
            cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
            isNat(ok(X)) -> ok(isNat(X))
            isNatIList(ok(X)) -> ok(isNatIList(X))
            isNatIListKind(ok(X)) -> ok(isNatIListKind(X))
            isNatKind(ok(X)) -> ok(isNatKind(X))
            isNatList(ok(X)) -> ok(isNatList(X))
            length(mark(X)) -> mark(length(X))
            length(ok(X)) -> ok(length(X))
            proper(0()) -> ok(0())
            proper(U11(X1,X2)) -> U11(proper(X1),proper(X2))
            proper(U12(X)) -> U12(proper(X))
            proper(U21(X1,X2)) -> U21(proper(X1),proper(X2))

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