%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : RNG021-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n020.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 0.58s 0.83s
% Output   : CNFRefutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  19 unt;   0 nHn;   5 RR)
%            Number of literals    :   19 (  18 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    :   11 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = add(X,additive_identity),
    file('/tmp/MaedMax_28099') ).

cnf(eq_1,axiom,
    additive_identity = add(additive_inverse(X),X),
    file('/tmp/MaedMax_28099') ).

cnf(eq_2,axiom,
    add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
    file('/tmp/MaedMax_28099') ).

cnf(eq_3,axiom,
    add(X,Y) = add(Y,X),
    file('/tmp/MaedMax_28099') ).

cnf(eq_4,axiom,
    add(X,add(Y,Z)) = add(add(X,Y),Z),
    file('/tmp/MaedMax_28099') ).

cnf(eq_5,axiom,
    add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))) = associator(X,Y,Z),
    file('/tmp/MaedMax_28099') ).

cnf(eq_6,negated_conjecture,
    add(associator(u,x,y),associator(v,x,y)) != associator(add(u,v),x,y),
    file('/tmp/MaedMax_28099') ).

cnf(eq_7,plain,
    add(add(Y,X),x102) = add(X,add(Y,x102)),
    inference(cp,[status(thm)],[eq_3,eq_4]) ).

cnf(eq_8,plain,
    add(x100,additive_identity) = add(additive_inverse(X),add(x100,X)),
    inference(cp,[status(thm)],[eq_1,eq_9]) ).

cnf(eq_9,plain,
    add(X,add(Y,Z)) = add(Y,add(X,Z)),
    inference(rw,[status(thm)],[eq_7,eq_4]) ).

cnf(eq_10,plain,
    X = add(additive_inverse(Y),add(X,Y)),
    inference(rw,[status(thm)],[eq_8,eq_0]) ).

cnf(eq_11,negated_conjecture,
    add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),add(additive_inverse(multiply(u,multiply(x,y))),additive_inverse(multiply(v,multiply(x,y)))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_5]),eq_5]),eq_4]),eq_9]),eq_5]) ).

cnf(eq_12,plain,
    add(additive_inverse(add(X,Y)),X) = additive_inverse(Y),
    inference(cp,[status(thm)],[eq_10,eq_10]) ).

cnf(eq_13,plain,
    add(X,additive_inverse(add(X,Y))) = additive_inverse(Y),
    inference(rw,[status(thm)],[eq_12,eq_3]) ).

cnf(eq_14,negated_conjecture,
    add(additive_inverse(add(multiply(v,multiply(x,y)),multiply(u,multiply(x,y)))),add(multiply(multiply(v,x),y),multiply(multiply(u,x),y))) != add(additive_inverse(multiply(v,multiply(x,y))),add(additive_inverse(multiply(u,multiply(x,y))),add(multiply(multiply(v,x),y),multiply(multiply(u,x),y)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_3]),eq_3]),eq_2]),eq_2]),eq_2]),eq_4]),eq_3]),eq_9]),eq_3]),eq_9]),eq_3]),eq_9]),eq_9]),eq_3]) ).

cnf(eq_15,plain,
    add(additive_inverse(Y),additive_inverse(X)) = additive_inverse(add(X,Y)),
    inference(cp,[status(thm)],[eq_10,eq_13]) ).

cnf(eq_16,plain,
    add(additive_inverse(X),additive_inverse(Y)) = additive_inverse(add(Y,X)),
    eq_15 ).

cnf(eq_17,negated_conjecture,
    add(multiply(multiply(v,x),y),add(additive_inverse(multiply(v,multiply(x,y))),associator(u,x,y))) != add(multiply(multiply(v,x),y),add(additive_inverse(multiply(v,multiply(x,y))),associator(u,x,y))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_16]),eq_3]),eq_4]),eq_9]),eq_3]),eq_5]),eq_9]),eq_9]),eq_3]),eq_5]),eq_9]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG021-6 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Jul 26 02:53:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.58/0.83  % SZS status Unsatisfiable
% 0.58/0.83  % SZS output start CNFRefutation for /tmp/MaedMax_28099
% See solution above
% 0.58/0.83  
%------------------------------------------------------------------------------