%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n006.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 06:57:45 EDT 2022

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   21 (  21 unt;   0 nHn;  15 RR)
%            Number of literals    :   21 (  20 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    multiply(X,Y) = multiply(Y,X),
    file('/tmp/MaedMax_9529') ).

cnf(eq_1,axiom,
    add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
    file('/tmp/MaedMax_9529') ).

cnf(eq_2,axiom,
    X = multiply(multiplicative_identity,X),
    file('/tmp/MaedMax_9529') ).

cnf(eq_3,axiom,
    X = add(additive_identity,X),
    file('/tmp/MaedMax_9529') ).

cnf(eq_4,axiom,
    add(a,b) = multiplicative_identity,
    file('/tmp/MaedMax_9529') ).

cnf(eq_5,axiom,
    add(a,c) = multiplicative_identity,
    file('/tmp/MaedMax_9529') ).

cnf(eq_6,axiom,
    multiply(a,b) = additive_identity,
    file('/tmp/MaedMax_9529') ).

cnf(eq_7,axiom,
    multiply(a,c) = additive_identity,
    file('/tmp/MaedMax_9529') ).

cnf(eq_8,negated_conjecture,
    b != c,
    file('/tmp/MaedMax_9529') ).

cnf(eq_9,plain,
    add(additive_identity,multiply(x102,b)) = multiply(add(a,x102),b),
    inference(cp,[status(thm)],[eq_6,eq_1]) ).

cnf(eq_10,plain,
    add(additive_identity,multiply(x102,c)) = multiply(add(a,x102),c),
    inference(cp,[status(thm)],[eq_7,eq_1]) ).

cnf(eq_11,plain,
    multiply(X,b) = multiply(add(a,X),b),
    inference(rw,[status(thm)],[eq_9,eq_3]) ).

cnf(eq_12,plain,
    multiply(X,c) = multiply(add(a,X),c),
    inference(rw,[status(thm)],[eq_10,eq_3]) ).

cnf(eq_13,plain,
    multiply(multiplicative_identity,b) = multiply(c,b),
    inference(cp,[status(thm)],[eq_5,eq_11]) ).

cnf(eq_14,plain,
    multiply(multiplicative_identity,c) = multiply(b,c),
    inference(cp,[status(thm)],[eq_4,eq_12]) ).

cnf(eq_15,plain,
    multiply(b,c) = c,
    inference(rw,[status(thm)],[eq_14,eq_2]) ).

cnf(eq_16,plain,
    multiply(c,b) = b,
    inference(rw,[status(thm)],[eq_13,eq_2]) ).

cnf(eq_17,plain,
    multiply(b,c) = b,
    inference(cp,[status(thm)],[eq_0,eq_16]) ).

cnf(eq_18,plain,
    b = c,
    inference(rw,[status(thm)],[eq_17,eq_15]) ).

cnf(eq_19,negated_conjecture,
    c != c,
    inference(cp,[status(thm)],[eq_18,eq_8]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n006.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 03:22:02 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.57  % SZS status Unsatisfiable
% 0.19/0.57  % SZS output start CNFRefutation for /tmp/MaedMax_9529
% See solution above
% 0.19/0.57  
%------------------------------------------------------------------------------