%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LCL116-2 : TPTP v8.1.0. Released v1.0.0.
% 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 07:06:15 EDT 2022

% Result   : Unsatisfiable 1.15s 1.34s
% Output   : CNFRefutation 1.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   52 (  52 unt;   0 nHn;  15 RR)
%            Number of literals    :   52 (  51 equ;   8 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 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   :   62 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = implies(truth,X),
    file('/tmp/MaedMax_13310') ).

cnf(eq_1,axiom,
    truth = implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),
    file('/tmp/MaedMax_13310') ).

cnf(eq_2,axiom,
    implies(implies(X,Y),Y) = implies(implies(Y,X),X),
    file('/tmp/MaedMax_13310') ).

cnf(eq_3,axiom,
    truth = implies(implies(not(X),not(Y)),implies(Y,X)),
    file('/tmp/MaedMax_13310') ).

cnf(eq_4,negated_conjecture,
    truth != implies(not(a),implies(b,not(implies(b,a)))),
    file('/tmp/MaedMax_13310') ).

cnf(eq_5,plain,
    implies(X,implies(implies(X,x102),implies(truth,x102))) = truth,
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_6,plain,
    implies(implies(x100,truth),implies(X,implies(x100,X))) = truth,
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_7,plain,
    implies(implies(not(X),not(truth)),X) = truth,
    inference(cp,[status(thm)],[eq_0,eq_3]) ).

cnf(eq_8,plain,
    implies(implies(implies(Y,X),X),Y) = implies(implies(Y,implies(X,Y)),implies(X,Y)),
    inference(cp,[status(thm)],[eq_2,eq_2]) ).

cnf(eq_9,plain,
    implies(X,X) = implies(implies(X,truth),truth),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_10,plain,
    truth = implies(X,implies(implies(X,Y),Y)),
    inference(rw,[status(thm)],[eq_5,eq_0]) ).

cnf(eq_11,plain,
    truth = implies(implies(X,truth),implies(Y,implies(X,Y))),
    eq_6 ).

cnf(eq_12,plain,
    implies(truth,implies(implies(X,x102),implies(implies(not(X),not(truth)),x102))) = truth,
    inference(cp,[status(thm)],[eq_7,eq_1]) ).

cnf(eq_13,plain,
    implies(implies(x100,implies(not(X),not(truth))),implies(truth,implies(x100,X))) = truth,
    inference(cp,[status(thm)],[eq_7,eq_1]) ).

cnf(eq_14,plain,
    implies(X,implies(X,X)) = truth,
    inference(cp,[status(thm)],[eq_9,eq_10]) ).

cnf(eq_15,plain,
    truth = implies(implies(not(truth),not(not(truth))),not(not(truth))),
    inference(cp,[status(thm)],[eq_7,eq_2]) ).

cnf(eq_16,plain,
    implies(implies(implies(truth,truth),truth),implies(x101,implies(truth,x101))) = truth,
    inference(cp,[status(thm)],[eq_9,eq_11]) ).

cnf(eq_17,plain,
    truth = implies(X,X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_0]),eq_0]),eq_0]),eq_0]) ).

cnf(eq_18,plain,
    truth = implies(implies(X,implies(not(Y),not(truth))),implies(X,Y)),
    inference(rw,[status(thm)],[eq_13,eq_0]) ).

cnf(eq_19,plain,
    truth = implies(implies(X,Y),implies(implies(not(X),not(truth)),Y)),
    inference(rw,[status(thm)],[eq_12,eq_0]) ).

cnf(eq_20,plain,
    truth = implies(X,implies(X,X)),
    eq_14 ).

cnf(eq_21,negated_conjecture,
    implies(X,implies(implies(X,Y),Y)) != implies(not(a),implies(b,not(implies(b,a)))),
    inference(cp,[status(thm)],[eq_10,eq_4]) ).

cnf(eq_22,plain,
    truth = implies(X,truth),
    inference(rw,[status(thm)],[eq_20,eq_17]) ).

cnf(eq_23,negated_conjecture,
    implies(X,implies(implies(Y,X),X)) != implies(not(a),implies(b,not(implies(b,a)))),
    inference(cp,[status(thm)],[eq_2,eq_21]) ).

cnf(eq_24,negated_conjecture,
    implies(Y,implies(implies(implies(Y,X),X),Y)) != implies(not(a),implies(b,not(implies(b,a)))),
    inference(cp,[status(thm)],[eq_2,eq_23]) ).

cnf(eq_25,negated_conjecture,
    implies(X,implies(implies(implies(X,Y),Y),X)) != implies(not(a),implies(b,not(implies(b,a)))),
    eq_24 ).

cnf(eq_26,plain,
    truth = implies(X,implies(Y,X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_22]),eq_0]) ).

cnf(eq_27,plain,
    implies(implies(x100,not(truth)),implies(implies(not(truth),not(x100)),not(x100))) = truth,
    inference(cp,[status(thm)],[eq_2,eq_19]) ).

cnf(eq_28,plain,
    implies(truth,implies(not(truth),x101)) = truth,
    inference(cp,[status(thm)],[eq_26,eq_18]) ).

cnf(eq_29,plain,
    truth = implies(not(truth),X),
    inference(rw,[status(thm)],[eq_28,eq_0]) ).

cnf(eq_30,plain,
    truth = not(not(truth)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_29]),eq_0]) ).

cnf(eq_31,plain,
    implies(truth,X) = implies(implies(X,not(truth)),not(truth)),
    inference(cp,[status(thm)],[eq_29,eq_2]) ).

cnf(eq_32,plain,
    truth = implies(implies(X,not(truth)),not(X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_29]),eq_0]) ).

cnf(eq_33,plain,
    X = implies(implies(X,not(truth)),not(truth)),
    inference(rw,[status(thm)],[eq_31,eq_0]) ).

cnf(eq_34,plain,
    implies(X,Y) = implies(implies(implies(Y,X),X),Y),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_26]),eq_0]) ).

cnf(eq_35,plain,
    implies(implies(truth,not(x101)),implies(x101,not(truth))) = truth,
    inference(cp,[status(thm)],[eq_30,eq_3]) ).

cnf(eq_36,plain,
    truth = implies(not(X),implies(X,not(truth))),
    inference(rw,[status(thm)],[eq_35,eq_0]) ).

cnf(eq_37,plain,
    implies(truth,implies(X,not(truth))) = implies(implies(implies(X,not(truth)),not(X)),not(X)),
    inference(cp,[status(thm)],[eq_36,eq_2]) ).

cnf(eq_38,plain,
    implies(X,not(truth)) = not(X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_0]),eq_32]),eq_0]) ).

cnf(eq_39,plain,
    implies(implies(x100,X),implies(not(X),implies(x100,not(truth)))) = truth,
    inference(cp,[status(thm)],[eq_38,eq_1]) ).

cnf(eq_40,plain,
    X = not(not(X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_38]),eq_38]) ).

cnf(eq_41,plain,
    truth = implies(implies(X,Y),implies(not(Y),not(X))),
    inference(rw,[status(thm)],[eq_39,eq_38]) ).

cnf(eq_42,plain,
    implies(truth,implies(not(Y),not(X))) = implies(implies(implies(not(Y),not(X)),implies(X,Y)),implies(X,Y)),
    inference(cp,[status(thm)],[eq_41,eq_2]) ).

cnf(eq_43,plain,
    implies(X,Y) = implies(not(Y),not(X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_0]),eq_3]),eq_0]) ).

cnf(eq_44,plain,
    implies(not(Y),implies(implies(X,Y),not(X))) = truth,
    inference(cp,[status(thm)],[eq_43,eq_10]) ).

cnf(eq_45,plain,
    implies(X,not(x101)) = implies(x101,not(X)),
    inference(cp,[status(thm)],[eq_40,eq_43]) ).

cnf(eq_46,plain,
    implies(X,not(Y)) = implies(Y,not(X)),
    eq_45 ).

cnf(eq_47,plain,
    truth = implies(not(X),implies(implies(Y,X),not(Y))),
    eq_44 ).

cnf(eq_48,negated_conjecture,
    implies(not(a),implies(implies(b,a),not(b))) != implies(x100,implies(implies(implies(x100,x101),x101),x100)),
    inference(cp,[status(thm)],[eq_46,eq_25]) ).

cnf(eq_49,negated_conjecture,
    truth != implies(not(a),implies(implies(b,a),not(b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_48,eq_34]),eq_26]) ).

cnf(eq_50,negated_conjecture,
    truth != truth,
    inference(rw,[status(thm)],[eq_49,eq_47]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : LCL116-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n006.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 05:28:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.15/1.34  % SZS status Unsatisfiable
% 1.15/1.34  % SZS output start CNFRefutation for /tmp/MaedMax_13310
% See solution above
% 1.15/1.34  
%------------------------------------------------------------------------------