%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : RNG007-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Jul 26 07:11:45 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (  15 unt;   0 nHn;   5 RR)
%            Number of literals    :   15 (  14 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    additive_identity = add(additive_inverse(X),X),
    file('/tmp/MaedMax_17766') ).

cnf(eq_1,axiom,
    X = additive_inverse(additive_inverse(X)),
    file('/tmp/MaedMax_17766') ).

cnf(eq_2,axiom,
    additive_inverse(multiply(X,Y)) = multiply(X,additive_inverse(Y)),
    file('/tmp/MaedMax_17766') ).

cnf(eq_3,axiom,
    additive_inverse(multiply(X,Y)) = multiply(additive_inverse(X),Y),
    file('/tmp/MaedMax_17766') ).

cnf(eq_4,axiom,
    add(X,Y) = add(Y,X),
    file('/tmp/MaedMax_17766') ).

cnf(eq_5,axiom,
    X = multiply(X,X),
    file('/tmp/MaedMax_17766') ).

cnf(eq_6,negated_conjecture,
    additive_identity != add(a,a),
    file('/tmp/MaedMax_17766') ).

cnf(eq_7,plain,
    multiply(X,additive_inverse(Y)) = multiply(additive_inverse(X),Y),
    inference(rw,[status(thm)],[eq_3,eq_2]) ).

cnf(eq_8,plain,
    additive_identity = add(X,additive_inverse(X)),
    inference(cp,[status(thm)],[eq_0,eq_4]) ).

cnf(eq_9,plain,
    multiply(additive_inverse(additive_inverse(Y)),Y) = additive_inverse(Y),
    inference(cp,[status(thm)],[eq_7,eq_5]) ).

cnf(eq_10,plain,
    X = additive_inverse(X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_1]),eq_5]) ).

cnf(eq_11,negated_conjecture,
    add(X,additive_inverse(X)) != add(a,a),
    inference(cp,[status(thm)],[eq_8,eq_6]) ).

cnf(eq_12,negated_conjecture,
    add(X,X) != add(a,a),
    inference(rw,[status(thm)],[eq_11,eq_10]) ).

cnf(eq_13,negated_conjecture,
    add(X,X) != add(X,X),
    eq_12 ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : RNG007-4 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : run_maedmax %d %s
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Jul 26 02:26:15 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.51  % SZS status Unsatisfiable
% 0.19/0.51  % SZS output start CNFRefutation for /tmp/MaedMax_17766
% See solution above
% 0.19/0.51  
%------------------------------------------------------------------------------