%--------------------------------------------------------------------------
% File     : NUM284-1.014 : TPTP v8.2.0. Released v1.0.0.
% Domain   : Number Theory
% Problem  : Calculation of fibonacci numbers
% Version  : [SETHEO] axioms : Biased.
% English  : Compute the 14th Fibonacci number.

% Refs     :
% Source   : [SETHEO]
% Names    : fib3.lop (Size 3) [SETHEO]
%          : fib4.lop (Size 4) [SETHEO]
%          : fib5.lop (Size 5) [SETHEO]
%          : fib6.lop (Size 6) [SETHEO]
%          : fib9.lop (Size 9) [SETHEO]

% Status   : Unsatisfiable
% Rating   : 0.18 v8.2.0, 0.14 v8.1.0, 0.25 v7.4.0, 0.17 v7.3.0, 0.25 v6.2.0, 0.33 v6.1.0, 0.36 v6.0.0, 0.22 v5.5.0, 0.19 v5.4.0, 0.28 v5.3.0, 0.40 v5.2.0, 0.23 v5.1.0, 0.25 v5.0.0, 0.33 v4.0.1, 0.29 v3.7.0, 0.14 v3.4.0, 0.00 v3.2.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.38 v2.6.0, 0.43 v2.5.0, 0.29 v2.4.0, 0.29 v2.3.0, 0.29 v2.2.1, 0.60 v2.2.0, 0.67 v2.1.0
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :   12 (   0 equ;   7 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :   15 (   3 avg)
%            Number of predicates  :    2 (   2 usr;   0 prp; 2-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   11 (   1 sgn)
% SPC      : CNF_UNS_RFO_NEQ_HRN

% Comments : Biased towards SETHEO.
%          : tptp2X: -f tptp -s14 NUM284-1.g
%--------------------------------------------------------------------------
cnf(fibonacci_0,axiom,
    fibonacci(n0,s(n0)) ).

cnf(fibonacci_1,axiom,
    fibonacci(s(n0),s(n0)) ).

cnf(fibonacci_N,axiom,
    ( ~ sum(N1,s(n0),N)
    | ~ sum(N2,s(s(n0)),N)
    | ~ fibonacci(N1,F1)
    | ~ fibonacci(N2,F2)
    | ~ sum(F1,F2,FN)
    | fibonacci(N,FN) ) ).

cnf(add_0,axiom,
    sum(X,n0,X) ).

cnf(add,axiom,
    ( ~ sum(X,Y,Z)
    | sum(X,s(Y),s(Z)) ) ).

cnf(prove_fibonacci,negated_conjecture,
    ~ fibonacci(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),Result) ).

%--------------------------------------------------------------------------