%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LCL161-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n009.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 07:06:17 EDT 2022

% Result   : Unsatisfiable 0.19s 0.56s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   22 (  22 unt;   0 nHn;   7 RR)
%            Number of literals    :   22 (  21 equ;   5 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;   4 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    not(X) = xor(X,truth),
    file('/tmp/MaedMax_30470') ).

cnf(eq_1,axiom,
    X = xor(X,falsehood),
    file('/tmp/MaedMax_30470') ).

cnf(eq_2,axiom,
    X = and_star(X,truth),
    file('/tmp/MaedMax_30470') ).

cnf(eq_3,axiom,
    xor(X,xor(truth,Y)) = xor(xor(X,truth),Y),
    file('/tmp/MaedMax_30470') ).

cnf(eq_4,axiom,
    xor(X,Y) = xor(Y,X),
    file('/tmp/MaedMax_30470') ).

cnf(eq_5,axiom,
    and_star(X,Y) = and_star(Y,X),
    file('/tmp/MaedMax_30470') ).

cnf(eq_6,axiom,
    not(truth) = falsehood,
    file('/tmp/MaedMax_30470') ).

cnf(eq_7,axiom,
    xor(truth,and_star(X,xor(truth,Y))) = implies(X,Y),
    file('/tmp/MaedMax_30470') ).

cnf(eq_8,negated_conjecture,
    implies(truth,x) != x,
    file('/tmp/MaedMax_30470') ).

cnf(eq_9,plain,
    xor(X,xor(truth,Y)) = xor(not(X),Y),
    inference(rw,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_10,plain,
    X = xor(X,not(truth)),
    inference(rw,[status(thm)],[eq_1,eq_6]) ).

cnf(eq_11,plain,
    and_star(truth,X) = X,
    inference(cp,[status(thm)],[eq_5,eq_2]) ).

cnf(eq_12,plain,
    xor(x100,xor(X,truth)) = xor(not(x100),X),
    inference(cp,[status(thm)],[eq_4,eq_9]) ).

cnf(eq_13,plain,
    not(X) = xor(truth,X),
    inference(cp,[status(thm)],[eq_0,eq_4]) ).

cnf(eq_14,plain,
    xor(X,not(Y)) = xor(not(X),Y),
    inference(rw,[status(thm)],[eq_12,eq_0]) ).

cnf(eq_15,negated_conjecture,
    xor(truth,and_star(truth,xor(truth,x))) != x,
    inference(rw,[status(thm)],[eq_8,eq_7]) ).

cnf(eq_16,negated_conjecture,
    xor(truth,xor(truth,x)) != x,
    inference(cp,[status(thm)],[eq_11,eq_15]) ).

cnf(eq_17,negated_conjecture,
    not(not(x)) != x,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_13]),eq_13]) ).

cnf(eq_18,plain,
    X = xor(not(X),truth),
    inference(cp,[status(thm)],[eq_10,eq_14]) ).

cnf(eq_19,plain,
    X = not(not(X)),
    inference(rw,[status(thm)],[eq_18,eq_0]) ).

cnf(eq_20,negated_conjecture,
    x != x,
    inference(cp,[status(thm)],[eq_19,eq_17]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL161-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Jul 26 05:29:36 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.56  % SZS status Unsatisfiable
% 0.19/0.56  % SZS output start CNFRefutation for /tmp/MaedMax_30470
% See solution above
% 0.19/0.56  
%------------------------------------------------------------------------------