%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : BOO010-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n028.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 06:57:44 EDT 2022

% Result   : Unsatisfiable 0.31s 0.58s
% Output   : CNFRefutation 0.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   15 (  15 unt;   0 nHn;   4 RR)
%            Number of literals    :   15 (  14 equ;   2 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    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   18 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
    file('/tmp/MaedMax_20166') ).

cnf(eq_1,axiom,
    add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
    file('/tmp/MaedMax_20166') ).

cnf(eq_2,axiom,
    add(inverse(X),X) = multiplicative_identity,
    file('/tmp/MaedMax_20166') ).

cnf(eq_3,axiom,
    X = multiply(X,multiplicative_identity),
    file('/tmp/MaedMax_20166') ).

cnf(eq_4,axiom,
    X = multiply(multiplicative_identity,X),
    file('/tmp/MaedMax_20166') ).

cnf(eq_5,negated_conjecture,
    add(a,multiply(a,b)) != a,
    file('/tmp/MaedMax_20166') ).

cnf(eq_6,plain,
    add(X,multiply(X,x102)) = multiply(X,add(multiplicative_identity,x102)),
    inference(cp,[status(thm)],[eq_3,eq_1]) ).

cnf(eq_7,plain,
    multiply(multiplicative_identity,add(x102,X)) = add(multiply(inverse(X),x102),X),
    inference(cp,[status(thm)],[eq_2,eq_0]) ).

cnf(eq_8,plain,
    add(X,multiply(X,Y)) = multiply(X,add(multiplicative_identity,Y)),
    eq_6 ).

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

cnf(eq_10,plain,
    add(inverse(x100),x100) = add(multiplicative_identity,x100),
    inference(cp,[status(thm)],[eq_3,eq_9]) ).

cnf(eq_11,plain,
    add(multiplicative_identity,X) = multiplicative_identity,
    inference(rw,[status(thm)],[eq_10,eq_2]) ).

cnf(eq_12,plain,
    add(X,multiply(X,Y)) = X,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_11]),eq_3]) ).

cnf(eq_13,negated_conjecture,
    a != a,
    inference(rw,[status(thm)],[eq_5,eq_12]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15  % Problem  : BOO010-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.16  % Command  : run_maedmax %d %s
% 0.12/0.36  % Computer : n028.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8042.1875MB
% 0.12/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Tue Jul 26 03:45:32 EDT 2022
% 0.12/0.36  % CPUTime  : 
% 0.31/0.58  % SZS status Unsatisfiable
% 0.31/0.58  % SZS output start CNFRefutation for /tmp/MaedMax_20166
% See solution above
% 0.31/0.58  
%------------------------------------------------------------------------------