%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : RNG026-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n023.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 07:11:48 EDT 2022

% Result   : Unsatisfiable 0.41s 0.59s
% Output   : CNFRefutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   18 (  18 unt;   0 nHn;   3 RR)
%            Number of literals    :   18 (  17 equ;   2 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    :   10 (  10 usr;   6 con; 0-3 aty)
%            Number of variables   :   32 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = add(additive_identity,X),
    file('/tmp/MaedMax_4945') ).

cnf(eq_1,axiom,
    additive_identity = add(additive_inverse(X),X),
    file('/tmp/MaedMax_4945') ).

cnf(eq_2,axiom,
    add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
    file('/tmp/MaedMax_4945') ).

cnf(eq_3,axiom,
    add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
    file('/tmp/MaedMax_4945') ).

cnf(eq_4,axiom,
    add(X,Y) = add(Y,X),
    file('/tmp/MaedMax_4945') ).

cnf(eq_5,axiom,
    add(X,add(Y,Z)) = add(add(X,Y),Z),
    file('/tmp/MaedMax_4945') ).

cnf(eq_6,axiom,
    add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))) = associator(X,Y,Z),
    file('/tmp/MaedMax_4945') ).

cnf(eq_7,axiom,
    multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)),
    file('/tmp/MaedMax_4945') ).

cnf(eq_8,axiom,
    multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)),
    file('/tmp/MaedMax_4945') ).

cnf(eq_9,negated_conjecture,
    additive_identity != add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))),
    file('/tmp/MaedMax_4945') ).

cnf(eq_10,plain,
    add(additive_identity,x102) = add(additive_inverse(X),add(X,x102)),
    inference(cp,[status(thm)],[eq_1,eq_5]) ).

cnf(eq_11,plain,
    add(add(Y,X),x102) = add(X,add(Y,x102)),
    inference(cp,[status(thm)],[eq_4,eq_5]) ).

cnf(eq_12,plain,
    add(Y,add(additive_inverse(add(Y,Z)),Z)) = additive_identity,
    inference(cp,[status(thm)],[eq_15,eq_1]) ).

cnf(eq_13,plain,
    X = add(Y,add(additive_inverse(Y),X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_0]),eq_15]) ).

cnf(eq_14,plain,
    additive_identity = add(X,add(Y,additive_inverse(add(X,Y)))),
    inference(rw,[status(thm)],[eq_12,eq_4]) ).

cnf(eq_15,plain,
    add(X,add(Y,Z)) = add(Y,add(X,Z)),
    inference(rw,[status(thm)],[eq_11,eq_5]) ).

cnf(eq_16,negated_conjecture,
    additive_identity != additive_identity,
    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)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_6]),eq_6]),eq_6]),eq_6]),eq_6]),eq_4]),eq_4]),eq_4]),eq_4]),eq_4]),eq_5]),eq_2]),eq_3]),eq_15]),eq_8]),eq_7]),eq_4]),eq_5]),eq_15]),eq_15]),eq_15]),eq_4]),eq_13]),eq_15]),eq_15]),eq_13]),eq_5]),eq_13]),eq_5]),eq_14]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG026-7 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n023.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 03:04:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/0.59  % SZS status Unsatisfiable
% 0.41/0.59  % SZS output start CNFRefutation for /tmp/MaedMax_4945
% See solution above
% 0.41/0.59  
%------------------------------------------------------------------------------