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Using the program text above ...

2021-04-11 05:24:35 (CEST) cTI start

% cTI_lt 0.25 using 23.619 MLIPS SICStus 3.8.5 (x86-linux-glibc2.1): Mon Oct 30 16:34:14 CET 2000.
% cTI: Rt=36ms, Wt=41ms, GC=4ms. NTI: Rt=0ms, Wt=2ms at most 73 inferences for useful informations.
% NTI summary:  Complete result is optimal.
app(A,B,C)terminates_if b(A);b(C).
    % optimal. loops found: [app([A|_],x,[A|_])]. NTI took    0ms,72i,72i
c terminates_if false.
    % optimal. loops found: [c]. NTI took    0ms,73i,73i
2021-04-11 05:24:35 (CEST) cTI finished

Analyzed program:

app([], Zs, Zs).
app([X|Xs], Ys, [X|Zs]) :-
  app(Xs, Ys, Zs).

c:- app(X,X,X).

Valid HTML 4.0cTI, Fred Mesnard (Université de La Réunion), Ulrich Neumerkel (Technische Universität Wien)