%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : RNG013-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n013.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 07:11:46 EDT 2022

% Result   : Unsatisfiable 0.67s 0.85s
% Output   : CNFRefutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  22 unt;   0 nHn;   5 RR)
%            Number of literals    :   22 (  21 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   32 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = add(X,additive_identity),
    file('/tmp/MaedMax_27966') ).

cnf(eq_1,axiom,
    additive_identity = multiply(additive_identity,X),
    file('/tmp/MaedMax_27966') ).

cnf(eq_2,axiom,
    additive_identity = add(additive_inverse(X),X),
    file('/tmp/MaedMax_27966') ).

cnf(eq_3,axiom,
    X = additive_inverse(additive_inverse(X)),
    file('/tmp/MaedMax_27966') ).

cnf(eq_4,axiom,
    add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
    file('/tmp/MaedMax_27966') ).

cnf(eq_5,axiom,
    add(X,Y) = add(Y,X),
    file('/tmp/MaedMax_27966') ).

cnf(eq_6,axiom,
    add(X,add(Y,Z)) = add(add(X,Y),Z),
    file('/tmp/MaedMax_27966') ).

cnf(eq_7,negated_conjecture,
    multiply(additive_inverse(a),b) != additive_inverse(multiply(a,b)),
    file('/tmp/MaedMax_27966') ).

cnf(eq_8,plain,
    add(add(Y,X),x102) = add(X,add(Y,x102)),
    inference(cp,[status(thm)],[eq_5,eq_6]) ).

cnf(eq_9,plain,
    add(x100,additive_identity) = add(additive_inverse(X),add(x100,X)),
    inference(cp,[status(thm)],[eq_2,eq_10]) ).

cnf(eq_10,plain,
    add(X,add(Y,Z)) = add(Y,add(X,Z)),
    inference(rw,[status(thm)],[eq_8,eq_6]) ).

cnf(eq_11,plain,
    X = add(additive_inverse(Y),add(X,Y)),
    inference(rw,[status(thm)],[eq_9,eq_0]) ).

cnf(eq_12,plain,
    add(additive_inverse(add(X,Y)),X) = additive_inverse(Y),
    inference(cp,[status(thm)],[eq_11,eq_11]) ).

cnf(eq_13,plain,
    add(X,additive_inverse(add(X,Y))) = additive_inverse(Y),
    inference(rw,[status(thm)],[eq_12,eq_5]) ).

cnf(eq_14,plain,
    multiply(additive_identity,x102) = add(multiply(additive_inverse(X),x102),multiply(X,x102)),
    inference(cp,[status(thm)],[eq_2,eq_4]) ).

cnf(eq_15,plain,
    additive_identity = add(multiply(X,Y),multiply(additive_inverse(X),Y)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_1]),eq_5]) ).

cnf(eq_16,plain,
    add(additive_inverse(multiply(additive_inverse(X),Y)),additive_identity) = multiply(X,Y),
    inference(cp,[status(thm)],[eq_15,eq_11]) ).

cnf(eq_17,plain,
    multiply(X,Y) = additive_inverse(multiply(additive_inverse(X),Y)),
    inference(rw,[status(thm)],[eq_16,eq_0]) ).

cnf(eq_18,negated_conjecture,
    add(X,additive_inverse(add(X,multiply(a,b)))) != multiply(additive_inverse(a),b),
    inference(cp,[status(thm)],[eq_13,eq_7]) ).

cnf(eq_19,negated_conjecture,
    add(x100,additive_inverse(add(x100,additive_inverse(multiply(additive_inverse(a),b))))) != multiply(additive_inverse(a),b),
    inference(cp,[status(thm)],[eq_17,eq_18]) ).

cnf(eq_20,negated_conjecture,
    multiply(additive_inverse(a),b) != multiply(additive_inverse(a),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_13]),eq_3]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : RNG013-6 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14  % Command  : run_maedmax %d %s
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Jul 26 02:44:45 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.67/0.85  % SZS status Unsatisfiable
% 0.67/0.85  % SZS output start CNFRefutation for /tmp/MaedMax_27966
% See solution above
% 0.67/0.85  
%------------------------------------------------------------------------------