%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : BOO009-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n008.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 0.38s 0.57s
% Output   : CNFRefutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   27 (  27 unt;   0 nHn;   5 RR)
%            Number of literals    :   27 (  26 equ;   3 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    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   34 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    multiply(X,Y) = multiply(Y,X),
    file('/tmp/MaedMax_8510') ).

cnf(eq_1,axiom,
    add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
    file('/tmp/MaedMax_8510') ).

cnf(eq_2,axiom,
    add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
    file('/tmp/MaedMax_8510') ).

cnf(eq_3,axiom,
    add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
    file('/tmp/MaedMax_8510') ).

cnf(eq_4,axiom,
    add(X,inverse(X)) = multiplicative_identity,
    file('/tmp/MaedMax_8510') ).

cnf(eq_5,axiom,
    add(inverse(X),X) = multiplicative_identity,
    file('/tmp/MaedMax_8510') ).

cnf(eq_6,axiom,
    multiply(inverse(X),X) = additive_identity,
    file('/tmp/MaedMax_8510') ).

cnf(eq_7,axiom,
    X = multiply(X,multiplicative_identity),
    file('/tmp/MaedMax_8510') ).

cnf(eq_8,axiom,
    X = multiply(multiplicative_identity,X),
    file('/tmp/MaedMax_8510') ).

cnf(eq_9,axiom,
    X = add(X,additive_identity),
    file('/tmp/MaedMax_8510') ).

cnf(eq_10,negated_conjecture,
    multiply(a,add(a,b)) != a,
    file('/tmp/MaedMax_8510') ).

cnf(eq_11,plain,
    add(X,multiply(x102,X)) = multiply(add(multiplicative_identity,x102),X),
    inference(cp,[status(thm)],[eq_8,eq_3]) ).

cnf(eq_12,plain,
    multiply(multiplicative_identity,add(X,x102)) = add(X,multiply(inverse(X),x102)),
    inference(cp,[status(thm)],[eq_4,eq_2]) ).

cnf(eq_13,plain,
    multiply(multiplicative_identity,add(x102,X)) = add(multiply(inverse(X),x102),X),
    inference(cp,[status(thm)],[eq_5,eq_1]) ).

cnf(eq_14,plain,
    add(X,Y) = add(X,multiply(inverse(X),Y)),
    inference(rw,[status(thm)],[eq_12,eq_8]) ).

cnf(eq_15,plain,
    add(X,Y) = add(multiply(inverse(Y),X),Y),
    inference(rw,[status(thm)],[eq_13,eq_8]) ).

cnf(eq_16,plain,
    add(X,multiply(Y,X)) = multiply(add(multiplicative_identity,Y),X),
    eq_11 ).

cnf(eq_17,negated_conjecture,
    multiply(add(a,b),a) != a,
    inference(cp,[status(thm)],[eq_0,eq_10]) ).

cnf(eq_18,plain,
    add(X,additive_identity) = add(X,X),
    inference(cp,[status(thm)],[eq_6,eq_14]) ).

cnf(eq_19,plain,
    add(inverse(x100),x100) = add(multiplicative_identity,x100),
    inference(cp,[status(thm)],[eq_7,eq_15]) ).

cnf(eq_20,plain,
    X = add(X,X),
    inference(rw,[status(thm)],[eq_18,eq_9]) ).

cnf(eq_21,plain,
    add(multiplicative_identity,X) = multiplicative_identity,
    inference(rw,[status(thm)],[eq_19,eq_5]) ).

cnf(eq_22,plain,
    add(X,multiply(Y,X)) = X,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_21]),eq_8]) ).

cnf(eq_23,plain,
    multiply(add(X,x101),X) = add(X,multiply(x101,X)),
    inference(cp,[status(thm)],[eq_20,eq_2]) ).

cnf(eq_24,plain,
    X = multiply(add(X,Y),X),
    inference(rw,[status(thm)],[eq_23,eq_22]) ).

cnf(eq_25,negated_conjecture,
    a != a,
    inference(cp,[status(thm)],[eq_24,eq_17]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : BOO009-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : run_maedmax %d %s
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Jul 26 03:25:23 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.38/0.57  % SZS status Unsatisfiable
% 0.38/0.57  % SZS output start CNFRefutation for /tmp/MaedMax_8510
% See solution above
% 0.38/0.57  
%------------------------------------------------------------------------------