MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { #equal(@x, @y) -> #eq(@x, @y) , #less(@x, @y) -> #cklt(#compare(@x, @y)) , and(@x, @y) -> #and(@x, @y) , insert(@x, @l) -> insert#1(@l, @x) , insert#1(::(@y, @ys), @x) -> insert#2(leq(@x, @y), @x, @y, @ys) , insert#1(nil(), @x) -> ::(@x, nil()) , leq(@l1, @l2) -> leq#1(@l1, @l2) , insert#2(#false(), @x, @y, @ys) -> ::(@y, insert(@x, @ys)) , insert#2(#true(), @x, @y, @ys) -> ::(@x, ::(@y, @ys)) , isortlist(@l) -> isortlist#1(@l) , isortlist#1(::(@x, @xs)) -> insert(@x, isortlist(@xs)) , isortlist#1(nil()) -> nil() , leq#1(::(@x, @xs), @l2) -> leq#2(@l2, @x, @xs) , leq#1(nil(), @l2) -> #true() , leq#2(::(@y, @ys), @x, @xs) -> or(#less(@x, @y), and(#equal(@x, @y), leq(@xs, @ys))) , leq#2(nil(), @x, @xs) -> #false() , or(@x, @y) -> #or(@x, @y) } Weak Trs: { #eq(::(@x_1, @x_2), ::(@y_1, @y_2)) -> #and(#eq(@x_1, @y_1), #eq(@x_2, @y_2)) , #eq(::(@x_1, @x_2), nil()) -> #false() , #eq(nil(), ::(@y_1, @y_2)) -> #false() , #eq(nil(), nil()) -> #true() , #eq(#0(), #0()) -> #true() , #eq(#0(), #neg(@y)) -> #false() , #eq(#0(), #pos(@y)) -> #false() , #eq(#0(), #s(@y)) -> #false() , #eq(#neg(@x), #0()) -> #false() , #eq(#neg(@x), #neg(@y)) -> #eq(@x, @y) , #eq(#neg(@x), #pos(@y)) -> #false() , #eq(#pos(@x), #0()) -> #false() , #eq(#pos(@x), #neg(@y)) -> #false() , #eq(#pos(@x), #pos(@y)) -> #eq(@x, @y) , #eq(#s(@x), #0()) -> #false() , #eq(#s(@x), #s(@y)) -> #eq(@x, @y) , #compare(#0(), #0()) -> #EQ() , #compare(#0(), #neg(@y)) -> #GT() , #compare(#0(), #pos(@y)) -> #LT() , #compare(#0(), #s(@y)) -> #LT() , #compare(#neg(@x), #0()) -> #LT() , #compare(#neg(@x), #neg(@y)) -> #compare(@y, @x) , #compare(#neg(@x), #pos(@y)) -> #LT() , #compare(#pos(@x), #0()) -> #GT() , #compare(#pos(@x), #neg(@y)) -> #GT() , #compare(#pos(@x), #pos(@y)) -> #compare(@x, @y) , #compare(#s(@x), #0()) -> #GT() , #compare(#s(@x), #s(@y)) -> #compare(@x, @y) , #cklt(#EQ()) -> #false() , #cklt(#GT()) -> #false() , #cklt(#LT()) -> #true() , #and(#false(), #false()) -> #false() , #and(#false(), #true()) -> #false() , #and(#true(), #false()) -> #false() , #and(#true(), #true()) -> #true() , #or(#false(), #false()) -> #false() , #or(#false(), #true()) -> #true() , #or(#true(), #false()) -> #true() , #or(#true(), #true()) -> #true() } Obligation: innermost runtime complexity Answer: MAYBE None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'Fastest' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'custom shape polynomial interpretation' failed due to the following reason: The input cannot be shown compatible 2) 'custom shape polynomial interpretation' failed due to the following reason: The input cannot be shown compatible 3) 'linear polynomial interpretation' failed due to the following reason: The input cannot be shown compatible 2) 'Fastest' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'matrix interpretation of dimension 4' failed due to the following reason: The input cannot be shown compatible 2) 'matrix interpretation of dimension 3' failed due to the following reason: The input cannot be shown compatible 3) 'matrix interpretation of dimension 2' failed due to the following reason: The input cannot be shown compatible 4) 'matrix interpretation of dimension 3' failed due to the following reason: The input cannot be shown compatible 5) 'matrix interpretation of dimension 2' failed due to the following reason: The input cannot be shown compatible 6) 'matrix interpretation of dimension 1' failed due to the following reason: The input cannot be shown compatible Arrrr..