MAYBE
* Step 1: DependencyPairs MAYBE
    + Considered Problem:
        - Strict TRS:
            f(minus(x)) -> minus(minus(minus(f(x))))
            minus(*(x,y)) -> +(minus(minus(minus(x))),minus(minus(minus(y))))
            minus(+(x,y)) -> *(minus(minus(minus(x))),minus(minus(minus(y))))
            minus(minus(x)) -> x
        - Signature:
            {f/1,minus/1} / {*/2,+/2}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {f,minus} and constructors {*,+}
    + Applied Processor:
        DependencyPairs {dpKind_ = DT}
    + Details:
        We add the following dependency tuples:
        
        Strict DPs
          f#(minus(x)) -> c_1(minus#(minus(minus(f(x)))),minus#(minus(f(x))),minus#(f(x)),f#(x))
          minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                               ,minus#(minus(x))
                               ,minus#(x)
                               ,minus#(minus(minus(y)))
                               ,minus#(minus(y))
                               ,minus#(y))
          minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                               ,minus#(minus(x))
                               ,minus#(x)
                               ,minus#(minus(minus(y)))
                               ,minus#(minus(y))
                               ,minus#(y))
          minus#(minus(x)) -> c_4()
        Weak DPs
          
        
        and mark the set of starting terms.
* Step 2: UsableRules MAYBE
    + Considered Problem:
        - Strict DPs:
            f#(minus(x)) -> c_1(minus#(minus(minus(f(x)))),minus#(minus(f(x))),minus#(f(x)),f#(x))
            minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                 ,minus#(minus(x))
                                 ,minus#(x)
                                 ,minus#(minus(minus(y)))
                                 ,minus#(minus(y))
                                 ,minus#(y))
            minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                 ,minus#(minus(x))
                                 ,minus#(x)
                                 ,minus#(minus(minus(y)))
                                 ,minus#(minus(y))
                                 ,minus#(y))
            minus#(minus(x)) -> c_4()
        - Weak TRS:
            f(minus(x)) -> minus(minus(minus(f(x))))
            minus(*(x,y)) -> +(minus(minus(minus(x))),minus(minus(minus(y))))
            minus(+(x,y)) -> *(minus(minus(minus(x))),minus(minus(minus(y))))
            minus(minus(x)) -> x
        - Signature:
            {f/1,minus/1,f#/1,minus#/1} / {*/2,+/2,c_1/4,c_2/6,c_3/6,c_4/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {f#,minus#} and constructors {*,+}
    + Applied Processor:
        UsableRules
    + Details:
        We replace rewrite rules by usable rules:
          minus(*(x,y)) -> +(minus(minus(minus(x))),minus(minus(minus(y))))
          minus(+(x,y)) -> *(minus(minus(minus(x))),minus(minus(minus(y))))
          minus(minus(x)) -> x
          minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                               ,minus#(minus(x))
                               ,minus#(x)
                               ,minus#(minus(minus(y)))
                               ,minus#(minus(y))
                               ,minus#(y))
          minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                               ,minus#(minus(x))
                               ,minus#(x)
                               ,minus#(minus(minus(y)))
                               ,minus#(minus(y))
                               ,minus#(y))
          minus#(minus(x)) -> c_4()
* Step 3: PredecessorEstimation MAYBE
    + Considered Problem:
        - Strict DPs:
            minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                 ,minus#(minus(x))
                                 ,minus#(x)
                                 ,minus#(minus(minus(y)))
                                 ,minus#(minus(y))
                                 ,minus#(y))
            minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                 ,minus#(minus(x))
                                 ,minus#(x)
                                 ,minus#(minus(minus(y)))
                                 ,minus#(minus(y))
                                 ,minus#(y))
            minus#(minus(x)) -> c_4()
        - Weak TRS:
            minus(*(x,y)) -> +(minus(minus(minus(x))),minus(minus(minus(y))))
            minus(+(x,y)) -> *(minus(minus(minus(x))),minus(minus(minus(y))))
            minus(minus(x)) -> x
        - Signature:
            {f/1,minus/1,f#/1,minus#/1} / {*/2,+/2,c_1/4,c_2/6,c_3/6,c_4/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {f#,minus#} and constructors {*,+}
    + Applied Processor:
        PredecessorEstimation {onSelection = all simple predecessor estimation selector}
    + Details:
        We estimate the number of application of
          {3}
        by application of
          Pre({3}) = {1,2}.
        Here rules are labelled as follows:
          1: minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                  ,minus#(minus(x))
                                  ,minus#(x)
                                  ,minus#(minus(minus(y)))
                                  ,minus#(minus(y))
                                  ,minus#(y))
          2: minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                  ,minus#(minus(x))
                                  ,minus#(x)
                                  ,minus#(minus(minus(y)))
                                  ,minus#(minus(y))
                                  ,minus#(y))
          3: minus#(minus(x)) -> c_4()
* Step 4: RemoveWeakSuffixes MAYBE
    + Considered Problem:
        - Strict DPs:
            minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                 ,minus#(minus(x))
                                 ,minus#(x)
                                 ,minus#(minus(minus(y)))
                                 ,minus#(minus(y))
                                 ,minus#(y))
            minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                 ,minus#(minus(x))
                                 ,minus#(x)
                                 ,minus#(minus(minus(y)))
                                 ,minus#(minus(y))
                                 ,minus#(y))
        - Weak DPs:
            minus#(minus(x)) -> c_4()
        - Weak TRS:
            minus(*(x,y)) -> +(minus(minus(minus(x))),minus(minus(minus(y))))
            minus(+(x,y)) -> *(minus(minus(minus(x))),minus(minus(minus(y))))
            minus(minus(x)) -> x
        - Signature:
            {f/1,minus/1,f#/1,minus#/1} / {*/2,+/2,c_1/4,c_2/6,c_3/6,c_4/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {f#,minus#} and constructors {*,+}
    + Applied Processor:
        RemoveWeakSuffixes
    + Details:
        Consider the dependency graph
          1:S:minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                   ,minus#(minus(x))
                                   ,minus#(x)
                                   ,minus#(minus(minus(y)))
                                   ,minus#(minus(y))
                                   ,minus#(y))
             -->_6 minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):2
             -->_5 minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):2
             -->_4 minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):2
             -->_3 minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):2
             -->_2 minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):2
             -->_1 minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):2
             -->_6 minus#(minus(x)) -> c_4():3
             -->_5 minus#(minus(x)) -> c_4():3
             -->_4 minus#(minus(x)) -> c_4():3
             -->_3 minus#(minus(x)) -> c_4():3
             -->_2 minus#(minus(x)) -> c_4():3
             -->_1 minus#(minus(x)) -> c_4():3
             -->_6 minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):1
             -->_5 minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):1
             -->_4 minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):1
             -->_3 minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):1
             -->_2 minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):1
             -->_1 minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):1
          
          2:S:minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                   ,minus#(minus(x))
                                   ,minus#(x)
                                   ,minus#(minus(minus(y)))
                                   ,minus#(minus(y))
                                   ,minus#(y))
             -->_6 minus#(minus(x)) -> c_4():3
             -->_5 minus#(minus(x)) -> c_4():3
             -->_4 minus#(minus(x)) -> c_4():3
             -->_3 minus#(minus(x)) -> c_4():3
             -->_2 minus#(minus(x)) -> c_4():3
             -->_1 minus#(minus(x)) -> c_4():3
             -->_6 minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):2
             -->_5 minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):2
             -->_4 minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):2
             -->_3 minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):2
             -->_2 minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):2
             -->_1 minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):2
             -->_6 minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):1
             -->_5 minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):1
             -->_4 minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):1
             -->_3 minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):1
             -->_2 minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):1
             -->_1 minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                                        ,minus#(minus(x))
                                        ,minus#(x)
                                        ,minus#(minus(minus(y)))
                                        ,minus#(minus(y))
                                        ,minus#(y)):1
          
          3:W:minus#(minus(x)) -> c_4()
             
          
        The following weak DPs constitute a sub-graph of the DG that is closed under successors. The DPs are removed.
          3: minus#(minus(x)) -> c_4()
* Step 5: Failure MAYBE
  + Considered Problem:
      - Strict DPs:
          minus#(*(x,y)) -> c_2(minus#(minus(minus(x)))
                               ,minus#(minus(x))
                               ,minus#(x)
                               ,minus#(minus(minus(y)))
                               ,minus#(minus(y))
                               ,minus#(y))
          minus#(+(x,y)) -> c_3(minus#(minus(minus(x)))
                               ,minus#(minus(x))
                               ,minus#(x)
                               ,minus#(minus(minus(y)))
                               ,minus#(minus(y))
                               ,minus#(y))
      - Weak TRS:
          minus(*(x,y)) -> +(minus(minus(minus(x))),minus(minus(minus(y))))
          minus(+(x,y)) -> *(minus(minus(minus(x))),minus(minus(minus(y))))
          minus(minus(x)) -> x
      - Signature:
          {f/1,minus/1,f#/1,minus#/1} / {*/2,+/2,c_1/4,c_2/6,c_3/6,c_4/0}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {f#,minus#} and constructors {*,+}
  + Applied Processor:
      EmptyProcessor
  + Details:
      The problem is still open.
MAYBE