MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { second(Op(x, y)) -> y , isOp(Op(x, y)) -> True() , isOp(Val(n)) -> False() , assrewrite(exp) -> rewrite(exp) , rewrite(Op(Op(x', y'), Op(x', Op(x, y)))) -> rw(x', x) , rewrite(Op(Op(x', y'), Op(x, Val(n)))) -> rw(x, Val(n)) , rewrite(Op(Op(x, y), Val(n))) -> rw(Val(n), first(second(Val(n)))) , rewrite(Op(Val(n), y)) -> Op(Val(n), y) , rewrite(Val(n)) -> Val(n) , first(Op(x, y)) -> x , first(Val(n)) -> Val(n) , rw(Op(Op(x', y'), Op(x, y)), c) -> rw[Ite][True][Let](Op(Op(x', y'), Op(x, y)), c, rewrite(x)) , rw(Op(Op(x, y), Val(n)), c) -> rw[Ite][True][Let](Op(Op(x, y), Val(n)), c, Val(n)) , rw(Op(Val(n), y), c) -> Op(Op(Val(n), y), rewrite(c)) , rw(Val(n), c) -> Op(Val(n), rewrite(c)) } Weak Trs: { rw[Ite][True][Let](Op(x', Op(x', Op(x, y))), c, a1) -> rw[Ite][True][Let][Let](Op(x', Op(x', Op(x, y))), c, a1, rewrite(x)) , rw[Ite][True][Let](Op(x', Op(x, Val(n))), c, a1) -> rw[Ite][True][Let][Let](Op(x', Op(x, Val(n))), c, a1, Val(n)) } Obligation: innermost runtime complexity Answer: MAYBE None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'empty' failed due to the following reason: Empty strict component of the problem is NOT empty. 2) 'Best' failed due to the following reason: 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) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'bsearch-popstar (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 2) 'Polynomial Path Order (PS) (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 3) 'Fastest (timeout of 5 seconds) (timeout of 60 seconds)' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. Arrrr..