Runti Compl Full Rewri 10127 pair #381902436

details

property	value
status	complete
benchmark	p266.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	Rubio_04

run statistics

property	value
solver	tct 2018-07-13
configuration	tct_rc
runtime (wallclock)	0.077488899231 seconds
cpu usage	0.26012272
max memory	1.14688E7

stage attributes

key	value
output-size	1908
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:
            b(X) -> a(X)
            f(a(g(X))) -> b(X)
            f(f(X)) -> f(a(b(f(X))))
        - Signature:
            {b/1,f/1} / {a/1,g/1}
        - Obligation:
             runtime complexity wrt. defined symbols {b,f} and constructors {a,g}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: Bounds WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            b(X) -> a(X)
            f(a(g(X))) -> b(X)
            f(f(X)) -> f(a(b(f(X))))
        - Signature:
            {b/1,f/1} / {a/1,g/1}
        - Obligation:
             runtime complexity wrt. defined symbols {b,f} and constructors {a,g}
    + Applied Processor:
        Bounds {initialAutomaton = minimal, enrichment = match}
    + Details:
        The problem is match-bounded by 2.
        The enriched problem is compatible with follwoing automaton.
          a_0(2) -> 2
          a_1(2) -> 1
          a_2(2) -> 1
          b_0(2) -> 1
          b_1(2) -> 1
          f_0(2) -> 1
          g_0(2) -> 2
* Step 3: EmptyProcessor WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            b(X) -> a(X)
            f(a(g(X))) -> b(X)
            f(f(X)) -> f(a(b(f(X))))
        - Signature:
            {b/1,f/1} / {a/1,g/1}
        - Obligation:
             runtime complexity wrt. defined symbols {b,f} and constructors {a,g}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

WORST_CASE(?,O(n^1))

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