MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { minus(minus(x)) -> x , minus(+(x, y)) -> *(minus(minus(minus(x))), minus(minus(minus(y)))) , minus(*(x, y)) -> +(minus(minus(minus(x))), minus(minus(minus(y)))) , f(minus(x)) -> minus(minus(minus(f(x)))) } Obligation: runtime complexity Answer: MAYBE None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'WithProblem (timeout of 60 seconds)' failed due to the following reason: Computation stopped due to timeout after 60.0 seconds. 2) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'WithProblem (timeout of 30 seconds) (timeout of 60 seconds)' failed due to the following reason: Computation stopped due to timeout after 30.0 seconds. 2) 'Fastest (timeout of 5 seconds) (timeout of 60 seconds)' failed due to the following reason: Computation stopped due to timeout after 5.0 seconds. 3) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'Polynomial Path Order (PS) (timeout of 60 seconds)' failed due to the following reason: The processor is inapplicable, reason: Processor only applicable for innermost runtime complexity analysis 2) 'bsearch-popstar (timeout of 60 seconds)' failed due to the following reason: The processor is inapplicable, reason: Processor only applicable for innermost runtime complexity analysis 3) 'Innermost Weak Dependency Pairs (timeout of 60 seconds)' failed due to the following reason: We add the following weak dependency pairs: Strict DPs: { minus^#(minus(x)) -> c_1(x) , minus^#(+(x, y)) -> c_2(minus^#(minus(minus(x))), minus^#(minus(minus(y)))) , minus^#(*(x, y)) -> c_3(minus^#(minus(minus(x))), minus^#(minus(minus(y)))) , f^#(minus(x)) -> c_4(minus^#(minus(minus(f(x))))) } and mark the set of starting terms. We are left with following problem, upon which TcT provides the certificate MAYBE. Strict DPs: { minus^#(minus(x)) -> c_1(x) , minus^#(+(x, y)) -> c_2(minus^#(minus(minus(x))), minus^#(minus(minus(y)))) , minus^#(*(x, y)) -> c_3(minus^#(minus(minus(x))), minus^#(minus(minus(y)))) , f^#(minus(x)) -> c_4(minus^#(minus(minus(f(x))))) } Strict Trs: { minus(minus(x)) -> x , minus(+(x, y)) -> *(minus(minus(minus(x))), minus(minus(minus(y)))) , minus(*(x, y)) -> +(minus(minus(minus(x))), minus(minus(minus(y)))) , f(minus(x)) -> minus(minus(minus(f(x)))) } Obligation: runtime complexity Answer: MAYBE Empty strict component of the problem is NOT empty. Arrrr..