%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LCL163-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n011.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 07:06:18 EDT 2022

% Result   : Unsatisfiable 31.13s 31.34s
% Output   : CNFRefutation 31.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   74 (  74 unt;   0 nHn;  19 RR)
%            Number of literals    :   74 (  73 equ;  12 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   79 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    not(X) = xor(X,truth),
    file('/tmp/MaedMax_10936') ).

cnf(eq_1,axiom,
    X = xor(X,falsehood),
    file('/tmp/MaedMax_10936') ).

cnf(eq_2,axiom,
    xor(X,X) = falsehood,
    file('/tmp/MaedMax_10936') ).

cnf(eq_3,axiom,
    X = and_star(X,truth),
    file('/tmp/MaedMax_10936') ).

cnf(eq_4,axiom,
    falsehood = and_star(X,falsehood),
    file('/tmp/MaedMax_10936') ).

cnf(eq_5,axiom,
    falsehood = and_star(xor(truth,X),X),
    file('/tmp/MaedMax_10936') ).

cnf(eq_6,axiom,
    xor(X,xor(truth,Y)) = xor(xor(X,truth),Y),
    file('/tmp/MaedMax_10936') ).

cnf(eq_7,axiom,
    and_star(xor(and_star(xor(truth,X),Y),truth),Y) = and_star(xor(and_star(xor(truth,Y),X),truth),X),
    file('/tmp/MaedMax_10936') ).

cnf(eq_8,axiom,
    xor(X,Y) = xor(Y,X),
    file('/tmp/MaedMax_10936') ).

cnf(eq_9,axiom,
    and_star(X,Y) = and_star(Y,X),
    file('/tmp/MaedMax_10936') ).

cnf(eq_10,axiom,
    not(truth) = falsehood,
    file('/tmp/MaedMax_10936') ).

cnf(eq_11,axiom,
    xor(truth,and_star(X,xor(truth,Y))) = implies(X,Y),
    file('/tmp/MaedMax_10936') ).

cnf(eq_12,negated_conjecture,
    implies(implies(x,y),y) != implies(implies(y,x),x),
    file('/tmp/MaedMax_10936') ).

cnf(eq_13,plain,
    xor(X,xor(truth,Y)) = xor(not(X),Y),
    inference(rw,[status(thm)],[eq_6,eq_0]) ).

cnf(eq_14,plain,
    X = xor(X,not(truth)),
    inference(rw,[status(thm)],[eq_1,eq_10]) ).

cnf(eq_15,plain,
    not(truth) = xor(X,X),
    inference(rw,[status(thm)],[eq_2,eq_10]) ).

cnf(eq_16,plain,
    not(truth) = and_star(X,xor(truth,X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_10]),eq_9]) ).

cnf(eq_17,plain,
    not(truth) = and_star(X,not(truth)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_10]),eq_10]) ).

cnf(eq_18,plain,
    and_star(truth,X) = X,
    inference(cp,[status(thm)],[eq_9,eq_3]) ).

cnf(eq_19,plain,
    xor(x100,xor(X,truth)) = xor(not(x100),X),
    inference(cp,[status(thm)],[eq_8,eq_13]) ).

cnf(eq_20,plain,
    not(X) = xor(truth,X),
    inference(cp,[status(thm)],[eq_0,eq_8]) ).

cnf(eq_21,plain,
    X = xor(not(truth),X),
    inference(cp,[status(thm)],[eq_14,eq_8]) ).

cnf(eq_22,plain,
    not(truth) = and_star(not(truth),X),
    inference(cp,[status(thm)],[eq_17,eq_9]) ).

cnf(eq_23,plain,
    and_star(X,xor(X,truth)) = not(truth),
    inference(cp,[status(thm)],[eq_8,eq_16]) ).

cnf(eq_24,plain,
    xor(X,not(Y)) = xor(not(X),Y),
    inference(rw,[status(thm)],[eq_19,eq_0]) ).

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

cnf(eq_26,negated_conjecture,
    xor(truth,and_star(xor(truth,x),xor(truth,and_star(y,xor(truth,x))))) != xor(truth,and_star(xor(truth,y),xor(truth,and_star(x,xor(truth,y))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_11]),eq_11]),eq_9]),eq_11]),eq_11]),eq_9]) ).

cnf(eq_27,plain,
    not(not(truth)) = truth,
    inference(cp,[status(thm)],[eq_0,eq_21]) ).

cnf(eq_28,plain,
    xor(xor(X,X),x100) = x100,
    inference(cp,[status(thm)],[eq_15,eq_21]) ).

cnf(eq_29,plain,
    X = xor(xor(Y,Y),X),
    eq_28 ).

cnf(eq_30,negated_conjecture,
    not(and_star(xor(truth,x),xor(truth,and_star(y,xor(truth,x))))) != xor(truth,and_star(xor(truth,y),xor(truth,and_star(x,xor(truth,y))))),
    inference(cp,[status(thm)],[eq_20,eq_26]) ).

cnf(eq_31,plain,
    and_star(X,not(and_star(not(Y),X))) = and_star(Y,not(and_star(not(X),Y))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_20]),eq_0]),eq_9]),eq_20]),eq_0]),eq_9]) ).

cnf(eq_32,plain,
    not(and_star(X,not(Y))) = implies(X,Y),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_20]),eq_20]) ).

cnf(eq_33,plain,
    not(and_star(Y,not(and_star(not(X),Y)))) = implies(X,and_star(not(Y),X)),
    inference(cp,[status(thm)],[eq_31,eq_32]) ).

cnf(eq_34,plain,
    not(not(truth)) = implies(X,X),
    inference(cp,[status(thm)],[eq_25,eq_32]) ).

cnf(eq_35,plain,
    not(and_star(not(x101),X)) = implies(X,x101),
    inference(cp,[status(thm)],[eq_9,eq_32]) ).

cnf(eq_36,plain,
    not(not(truth)) = implies(not(truth),x101),
    inference(cp,[status(thm)],[eq_22,eq_32]) ).

cnf(eq_37,plain,
    not(and_star(x100,truth)) = implies(x100,not(truth)),
    inference(cp,[status(thm)],[eq_27,eq_32]) ).

cnf(eq_38,plain,
    X = xor(not(X),truth),
    inference(cp,[status(thm)],[eq_14,eq_24]) ).

cnf(eq_39,plain,
    X = not(not(X)),
    inference(rw,[status(thm)],[eq_38,eq_0]) ).

cnf(eq_40,plain,
    truth = implies(not(truth),X),
    inference(rw,[status(thm)],[eq_36,eq_27]) ).

cnf(eq_41,plain,
    not(and_star(not(X),Y)) = implies(Y,X),
    eq_35 ).

cnf(eq_42,plain,
    truth = implies(X,X),
    inference(rw,[status(thm)],[eq_34,eq_27]) ).

cnf(eq_43,plain,
    not(X) = implies(X,not(truth)),
    inference(rw,[status(thm)],[eq_37,eq_3]) ).

cnf(eq_44,plain,
    not(and_star(X,not(and_star(not(Y),X)))) = implies(Y,and_star(not(X),Y)),
    eq_33 ).

cnf(eq_45,negated_conjecture,
    xor(truth,and_star(xor(truth,y),xor(truth,and_star(xor(truth,y),x)))) != not(and_star(xor(truth,x),xor(truth,and_star(y,xor(truth,x))))),
    inference(cp,[status(thm)],[eq_9,eq_30]) ).

cnf(eq_46,plain,
    not(implies(truth,not(truth))) = truth,
    inference(cp,[status(thm)],[eq_43,eq_27]) ).

cnf(eq_47,plain,
    not(implies(X,Y)) = and_star(X,not(Y)),
    inference(cp,[status(thm)],[eq_32,eq_39]) ).

cnf(eq_48,plain,
    not(and_star(x100,X)) = implies(x100,not(X)),
    inference(cp,[status(thm)],[eq_39,eq_32]) ).

cnf(eq_49,plain,
    truth = not(and_star(X,not(X))),
    inference(cp,[status(thm)],[eq_42,eq_32]) ).

cnf(eq_50,plain,
    not(and_star(X,Y)) = implies(X,not(Y)),
    eq_48 ).

cnf(eq_51,plain,
    not(falsehood) = truth,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_10]),eq_32]),eq_18]),eq_39]) ).

cnf(eq_52,plain,
    X = xor(falsehood,X),
    inference(rw,[status(thm)],[eq_29,eq_2]) ).

cnf(eq_53,plain,
    not(X) = implies(X,falsehood),
    inference(rw,[status(thm)],[eq_43,eq_10]) ).

cnf(eq_54,plain,
    truth = implies(falsehood,X),
    inference(rw,[status(thm)],[eq_40,eq_10]) ).

cnf(eq_55,plain,
    not(implies(X,falsehood)) = X,
    inference(cp,[status(thm)],[eq_53,eq_39]) ).

cnf(eq_56,plain,
    X = implies(implies(X,falsehood),falsehood),
    inference(cp,[status(thm)],[eq_55,eq_53]) ).

cnf(eq_57,plain,
    xor(X,truth) = implies(X,falsehood),
    inference(rw,[status(thm)],[eq_0,eq_53]) ).

cnf(eq_58,plain,
    implies(X,implies(Y,falsehood)) = implies(and_star(X,Y),falsehood),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_53]),eq_53]) ).

cnf(eq_59,plain,
    implies(X,Y) = implies(and_star(implies(Y,falsehood),X),falsehood),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_53]),eq_53]) ).

cnf(eq_60,plain,
    not(falsehood) = implies(X,X),
    inference(rw,[status(thm)],[eq_42,eq_51]) ).

cnf(eq_61,negated_conjecture,
    xor(truth,and_star(xor(truth,y),xor(truth,and_star(xor(not(and_star(X,not(X))),y),x)))) != not(and_star(xor(truth,x),xor(truth,and_star(y,xor(truth,x))))),
    inference(cp,[status(thm)],[eq_49,eq_45]) ).

cnf(eq_62,negated_conjecture,
    not(and_star(not(x),not(and_star(y,not(x))))) != not(and_star(not(y),not(and_star(xor(not(and_star(X,not(X))),y),x)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_61,eq_20]),eq_20]),eq_20]),eq_20]),eq_20]),eq_20]) ).

cnf(eq_63,negated_conjecture,
    xor(truth,and_star(xor(truth,x),xor(truth,and_star(xor(truth,x),y)))) != xor(truth,and_star(xor(truth,y),xor(truth,and_star(x,xor(xor(truth,and_star(X,xor(truth,X))),y))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_62,eq_20]),eq_20]),eq_9]),eq_20]),eq_20]),eq_20]),eq_20]),eq_20]),eq_9]),eq_20]),eq_20]) ).

cnf(eq_64,negated_conjecture,
    xor(truth,and_star(xor(truth,x),xor(truth,and_star(xor(x,truth),y)))) != xor(truth,and_star(xor(truth,y),xor(truth,and_star(x,xor(xor(truth,and_star(x100,xor(truth,x100))),y))))),
    inference(cp,[status(thm)],[eq_8,eq_63]) ).

cnf(eq_65,negated_conjecture,
    implies(not(x),and_star(xor(x,not(falsehood)),y)) != implies(implies(x,y),y),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_51]),eq_51]),eq_51]),eq_51]),eq_24]),eq_24]),eq_52]),eq_52]),eq_47]),eq_24]),eq_39]),eq_52]),eq_51]),eq_51]),eq_51]),eq_51]),eq_51]),eq_24]),eq_24]),eq_52]),eq_52]),eq_47]),eq_60]),eq_39]),eq_24]),eq_52]),eq_24]),eq_52]),eq_47]),eq_24]),eq_39]),eq_52]),eq_24]),eq_41]),eq_52]) ).

cnf(eq_66,plain,
    implies(implies(X,implies(Y,falsehood)),falsehood) = and_star(X,Y),
    inference(cp,[status(thm)],[eq_58,eq_56]) ).

cnf(eq_67,plain,
    implies(X,Y) = implies(implies(Y,falsehood),implies(X,falsehood)),
    inference(cp,[status(thm)],[eq_59,eq_58]) ).

cnf(eq_68,plain,
    and_star(X,Y) = implies(implies(X,implies(Y,falsehood)),falsehood),
    eq_66 ).

cnf(eq_69,negated_conjecture,
    implies(implies(x,falsehood),implies(implies(implies(x,falsehood),implies(y,falsehood)),falsehood)) != implies(implies(x,y),y),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_65,eq_53]),eq_53]),eq_54]),eq_57]),eq_68]) ).

cnf(eq_70,plain,
    implies(X,implies(implies(X,Y),falsehood)) = implies(Y,implies(implies(Y,X),falsehood)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_44,eq_53]),eq_68]),eq_67]),eq_53]),eq_56]),eq_68]),eq_53]),eq_56]),eq_53]),eq_68]),eq_67]) ).

cnf(eq_71,negated_conjecture,
    implies(implies(y,falsehood),implies(implies(implies(y,falsehood),implies(x,falsehood)),falsehood)) != implies(implies(x,y),y),
    inference(cp,[status(thm)],[eq_70,eq_69]) ).

cnf(eq_72,negated_conjecture,
    implies(implies(x,y),y) != implies(implies(x,y),y),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_71,eq_67]),eq_67]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_72]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LCL163-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.11  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n011.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 05:28:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 31.13/31.34  % SZS status Unsatisfiable
% 31.13/31.34  % SZS output start CNFRefutation for /tmp/MaedMax_10936
% See solution above
% 31.13/31.34  
%------------------------------------------------------------------------------