Runti Compl Full Rewri 10127 pair #381902826

details

property	value
status	complete
benchmark	4.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n034.star.cs.uiowa.edu
space	Secret_06_TRS

run statistics

property	value
solver	tct 2018-07-13
configuration	tct_rc
runtime (wallclock)	0.0885229110718 seconds
cpu usage	0.376940211
max memory	3.5659776E7

stage attributes

key	value
output-size	2197
starexec-result	WORST_CASE(?,O(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(?,O(n^1))
* Step 1: Sum WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            a(0(),x) -> c(c(x))
            c(c(x)) -> b(c(b(c(x))))
            c(c(b(c(x)))) -> b(a(0(),c(x)))
        - Signature:
            {a/2,c/1} / {0/0,b/1}
        - Obligation:
             runtime complexity wrt. defined symbols {a,c} and constructors {0,b}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: Bounds WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            a(0(),x) -> c(c(x))
            c(c(x)) -> b(c(b(c(x))))
            c(c(b(c(x)))) -> b(a(0(),c(x)))
        - Signature:
            {a/2,c/1} / {0/0,b/1}
        - Obligation:
             runtime complexity wrt. defined symbols {a,c} and constructors {0,b}
    + Applied Processor:
        Bounds {initialAutomaton = perSymbol, enrichment = match}
    + Details:
        The problem is match-bounded by 2.
        The enriched problem is compatible with follwoing automaton.
          0_0() -> 1
          a_0(1,1) -> 2
          a_0(1,3) -> 2
          a_0(3,1) -> 2
          a_0(3,3) -> 2
          b_0(1) -> 3
          b_0(3) -> 3
          b_2(6) -> 2
          b_2(8) -> 7
          c_0(1) -> 4
          c_0(3) -> 4
          c_1(1) -> 5
          c_1(3) -> 5
          c_1(5) -> 2
          c_2(1) -> 8
          c_2(3) -> 8
          c_2(7) -> 6
* Step 3: EmptyProcessor WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            a(0(),x) -> c(c(x))
            c(c(x)) -> b(c(b(c(x))))
            c(c(b(c(x)))) -> b(a(0(),c(x)))
        - Signature:
            {a/2,c/1} / {0/0,b/1}
        - Obligation:
             runtime complexity wrt. defined symbols {a,c} and constructors {0,b}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

WORST_CASE(?,O(n^1))

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