%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : RNG018-6 : 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 07:11:47 EDT 2022

% Result   : Unsatisfiable 0.82s 1.01s
% Output   : CNFRefutation 0.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   22 (  22 unt;   0 nHn;   4 RR)
%            Number of literals    :   22 (  21 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   34 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = add(X,additive_identity),
    file('/tmp/MaedMax_26126') ).

cnf(eq_1,axiom,
    additive_identity = multiply(X,additive_identity),
    file('/tmp/MaedMax_26126') ).

cnf(eq_2,axiom,
    additive_identity = add(additive_inverse(X),X),
    file('/tmp/MaedMax_26126') ).

cnf(eq_3,axiom,
    X = additive_inverse(additive_inverse(X)),
    file('/tmp/MaedMax_26126') ).

cnf(eq_4,axiom,
    add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
    file('/tmp/MaedMax_26126') ).

cnf(eq_5,axiom,
    add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
    file('/tmp/MaedMax_26126') ).

cnf(eq_6,axiom,
    add(X,Y) = add(Y,X),
    file('/tmp/MaedMax_26126') ).

cnf(eq_7,axiom,
    add(X,add(Y,Z)) = add(add(X,Y),Z),
    file('/tmp/MaedMax_26126') ).

cnf(eq_8,negated_conjecture,
    add(additive_inverse(multiply(x,z)),additive_inverse(multiply(y,z))) != multiply(add(x,y),additive_inverse(z)),
    file('/tmp/MaedMax_26126') ).

cnf(eq_9,plain,
    add(add(Y,X),x102) = add(X,add(Y,x102)),
    inference(cp,[status(thm)],[eq_6,eq_7]) ).

cnf(eq_10,plain,
    multiply(x100,additive_identity) = add(multiply(x100,additive_inverse(X)),multiply(x100,X)),
    inference(cp,[status(thm)],[eq_2,eq_4]) ).

cnf(eq_11,plain,
    add(x100,additive_identity) = add(additive_inverse(X),add(x100,X)),
    inference(cp,[status(thm)],[eq_2,eq_12]) ).

cnf(eq_12,plain,
    add(X,add(Y,Z)) = add(Y,add(X,Z)),
    inference(rw,[status(thm)],[eq_9,eq_7]) ).

cnf(eq_13,plain,
    additive_identity = add(multiply(X,Y),multiply(X,additive_inverse(Y))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_1]),eq_6]) ).

cnf(eq_14,plain,
    X = add(additive_inverse(Y),add(X,Y)),
    inference(rw,[status(thm)],[eq_11,eq_0]) ).

cnf(eq_15,negated_conjecture,
    add(multiply(x,additive_inverse(z)),multiply(y,additive_inverse(z))) != add(additive_inverse(multiply(x,z)),additive_inverse(multiply(y,z))),
    inference(rw,[status(thm)],[eq_8,eq_5]) ).

cnf(eq_16,plain,
    add(additive_inverse(multiply(X,additive_inverse(Y))),additive_identity) = multiply(X,Y),
    inference(cp,[status(thm)],[eq_13,eq_14]) ).

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

cnf(eq_18,plain,
    additive_inverse(multiply(X,Y)) = multiply(X,additive_inverse(Y)),
    inference(cp,[status(thm)],[eq_17,eq_3]) ).

cnf(eq_19,plain,
    multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)),
    eq_18 ).

cnf(eq_20,negated_conjecture,
    add(additive_inverse(multiply(x,z)),additive_inverse(multiply(y,z))) != add(additive_inverse(multiply(x,z)),additive_inverse(multiply(y,z))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_19]),eq_19]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : RNG018-6 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Jul 26 02:33:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.82/1.01  % SZS status Unsatisfiable
% 0.82/1.01  % SZS output start CNFRefutation for /tmp/MaedMax_26126
% See solution above
% 0.82/1.01  
%------------------------------------------------------------------------------