%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LCL134-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n027.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 07:06:16 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   16 (  16 unt;   0 nHn;   4 RR)
%            Number of literals    :   16 (  15 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    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   17 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = implies(truth,X),
    file('/tmp/MaedMax_31202') ).

cnf(eq_1,axiom,
    truth = implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),
    file('/tmp/MaedMax_31202') ).

cnf(eq_2,axiom,
    implies(implies(X,Y),Y) = implies(implies(Y,X),X),
    file('/tmp/MaedMax_31202') ).

cnf(eq_3,negated_conjecture,
    truth != implies(x,truth),
    file('/tmp/MaedMax_31202') ).

cnf(eq_4,plain,
    implies(X,implies(implies(X,x102),implies(truth,x102))) = truth,
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_5,plain,
    implies(implies(x100,truth),implies(X,implies(x100,X))) = truth,
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_6,plain,
    implies(X,X) = implies(implies(X,truth),truth),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_7,plain,
    truth = implies(X,implies(implies(X,Y),Y)),
    inference(rw,[status(thm)],[eq_4,eq_0]) ).

cnf(eq_8,plain,
    truth = implies(implies(X,truth),implies(Y,implies(X,Y))),
    eq_5 ).

cnf(eq_9,plain,
    implies(X,implies(X,X)) = truth,
    inference(cp,[status(thm)],[eq_6,eq_7]) ).

cnf(eq_10,plain,
    implies(implies(implies(truth,truth),truth),implies(x101,implies(truth,x101))) = truth,
    inference(cp,[status(thm)],[eq_6,eq_8]) ).

cnf(eq_11,plain,
    truth = implies(X,X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_0]),eq_0]),eq_0]),eq_0]) ).

cnf(eq_12,plain,
    truth = implies(X,implies(X,X)),
    eq_9 ).

cnf(eq_13,plain,
    truth = implies(X,truth),
    inference(rw,[status(thm)],[eq_12,eq_11]) ).

cnf(eq_14,negated_conjecture,
    truth != truth,
    inference(cp,[status(thm)],[eq_13,eq_3]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LCL134-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.11  % Command  : run_maedmax %d %s
% 0.11/0.32  % Computer : n027.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Tue Jul 26 05:41:20 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.18/0.49  % SZS status Unsatisfiable
% 0.18/0.49  % SZS output start CNFRefutation for /tmp/MaedMax_31202
% See solution above
% 0.18/0.49  
%------------------------------------------------------------------------------