%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LCL153-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n012.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 1.50s 1.67s
% Output   : CNFRefutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   34 (  34 unt;   0 nHn;   8 RR)
%            Number of literals    :   34 (  33 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   38 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = implies(truth,X),
    file('/tmp/MaedMax_18963') ).

cnf(eq_1,axiom,
    truth = implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),
    file('/tmp/MaedMax_18963') ).

cnf(eq_2,axiom,
    implies(implies(X,Y),Y) = implies(implies(Y,X),X),
    file('/tmp/MaedMax_18963') ).

cnf(eq_3,axiom,
    truth = implies(implies(not(X),not(Y)),implies(Y,X)),
    file('/tmp/MaedMax_18963') ).

cnf(eq_4,axiom,
    implies(not(X),Y) = or(X,Y),
    file('/tmp/MaedMax_18963') ).

cnf(eq_5,axiom,
    or(X,Y) = or(Y,X),
    file('/tmp/MaedMax_18963') ).

cnf(eq_6,axiom,
    not(or(not(X),not(Y))) = and(X,Y),
    file('/tmp/MaedMax_18963') ).

cnf(eq_7,axiom,
    or(and(X,not(Y)),and(not(X),Y)) = xor(X,Y),
    file('/tmp/MaedMax_18963') ).

cnf(eq_8,axiom,
    not(truth) = falsehood,
    file('/tmp/MaedMax_18963') ).

cnf(eq_9,negated_conjecture,
    not(x) != xor(x,truth),
    file('/tmp/MaedMax_18963') ).

cnf(eq_10,plain,
    implies(not(X),Y) = implies(not(Y),X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_4]),eq_4]) ).

cnf(eq_11,plain,
    implies(X,implies(implies(X,x102),implies(truth,x102))) = truth,
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_12,plain,
    implies(implies(not(x100),falsehood),implies(truth,x100)) = truth,
    inference(cp,[status(thm)],[eq_8,eq_3]) ).

cnf(eq_13,plain,
    implies(X,X) = implies(implies(X,truth),truth),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_14,plain,
    truth = implies(X,implies(implies(X,Y),Y)),
    inference(rw,[status(thm)],[eq_11,eq_0]) ).

cnf(eq_15,plain,
    truth = implies(implies(not(X),falsehood),X),
    inference(rw,[status(thm)],[eq_12,eq_0]) ).

cnf(eq_16,plain,
    truth = implies(implies(truth,Y),Y),
    inference(cp,[status(thm)],[eq_14,eq_0]) ).

cnf(eq_17,plain,
    implies(X,implies(X,X)) = truth,
    inference(cp,[status(thm)],[eq_13,eq_14]) ).

cnf(eq_18,plain,
    truth = implies(X,X),
    inference(rw,[status(thm)],[eq_16,eq_0]) ).

cnf(eq_19,plain,
    truth = implies(X,implies(X,X)),
    eq_17 ).

cnf(eq_20,plain,
    truth = implies(X,truth),
    inference(rw,[status(thm)],[eq_19,eq_18]) ).

cnf(eq_21,plain,
    implies(not(not(X)),X) = truth,
    inference(cp,[status(thm)],[eq_10,eq_18]) ).

cnf(eq_22,plain,
    implies(truth,implies(x101,not(not(x101)))) = truth,
    inference(cp,[status(thm)],[eq_21,eq_3]) ).

cnf(eq_23,plain,
    implies(truth,not(falsehood)) = truth,
    inference(cp,[status(thm)],[eq_21,eq_15]) ).

cnf(eq_24,plain,
    implies(truth,X) = implies(implies(X,not(not(X))),not(not(X))),
    inference(cp,[status(thm)],[eq_21,eq_2]) ).

cnf(eq_25,plain,
    truth = not(falsehood),
    inference(rw,[status(thm)],[eq_23,eq_0]) ).

cnf(eq_26,plain,
    truth = implies(X,not(not(X))),
    inference(rw,[status(thm)],[eq_22,eq_0]) ).

cnf(eq_27,plain,
    X = implies(not(falsehood),X),
    inference(rw,[status(thm)],[eq_0,eq_25]) ).

cnf(eq_28,plain,
    X = not(not(X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_0]),eq_26]),eq_0]) ).

cnf(eq_29,plain,
    and(X,Y) = not(implies(X,not(Y))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_4]),eq_28]) ).

cnf(eq_30,plain,
    implies(implies(X,Y),not(implies(not(X),not(Y)))) = xor(X,Y),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_29]),eq_29]),eq_28]),eq_4]),eq_28]) ).

cnf(eq_31,plain,
    X = implies(not(X),falsehood),
    inference(cp,[status(thm)],[eq_27,eq_10]) ).

cnf(eq_32,negated_conjecture,
    not(x) != not(x),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_30]),eq_20]),eq_8]),eq_31]),eq_0]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL153-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n012.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 05:27:51 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.50/1.67  % SZS status Unsatisfiable
% 1.50/1.67  % SZS output start CNFRefutation for /tmp/MaedMax_18963
% See solution above
% 1.50/1.67  
%------------------------------------------------------------------------------