%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : ALG006-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n005.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 06:55:45 EDT 2022

% Result   : Unsatisfiable 1.09s 1.30s
% Output   : CNFRefutation 1.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   39 (  39 unt;   0 nHn;   3 RR)
%            Number of literals    :   39 (  38 equ;   2 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    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   80 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = difference(X,difference(Y,X)),
    file('/tmp/MaedMax_5265') ).

cnf(eq_1,axiom,
    difference(X,difference(X,Y)) = difference(Y,difference(Y,X)),
    file('/tmp/MaedMax_5265') ).

cnf(eq_2,axiom,
    difference(difference(X,Y),Z) = difference(difference(X,Z),difference(Y,Z)),
    file('/tmp/MaedMax_5265') ).

cnf(eq_3,negated_conjecture,
    difference(difference(a,c),b) != difference(difference(a,b),c),
    file('/tmp/MaedMax_5265') ).

cnf(eq_4,plain,
    difference(difference(Y,X),difference(X,difference(X,Y))) = difference(Y,X),
    inference(cp,[status(thm)],[eq_1,eq_0]) ).

cnf(eq_5,plain,
    difference(difference(Y,X),X) = difference(Y,X),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_6,plain,
    difference(X,difference(X,difference(x100,X))) = difference(difference(x100,difference(x100,X)),X),
    inference(cp,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_7,plain,
    difference(X,difference(x102,difference(Y,X))) = difference(difference(X,x102),difference(Y,X)),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_8,plain,
    difference(difference(x100,difference(Y,X)),X) = difference(difference(x100,X),difference(Y,X)),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_9,plain,
    difference(X,X) = difference(difference(Y,difference(Y,X)),X),
    inference(rw,[status(thm)],[eq_6,eq_0]) ).

cnf(eq_10,plain,
    difference(difference(X,Y),Z) = difference(difference(X,difference(Y,Z)),Z),
    inference(rw,[status(thm)],[eq_8,eq_2]) ).

cnf(eq_11,plain,
    difference(X,Y) = difference(difference(X,Y),Y),
    eq_5 ).

cnf(eq_12,plain,
    difference(X,difference(Y,difference(Z,X))) = difference(difference(X,Y),difference(Z,X)),
    eq_7 ).

cnf(eq_13,plain,
    difference(X,Y) = difference(difference(X,Y),difference(Y,difference(Y,X))),
    eq_4 ).

cnf(eq_14,plain,
    difference(X,difference(Y,difference(difference(X,Y),X))) = difference(X,difference(X,difference(X,Y))),
    inference(cp,[status(thm)],[eq_12,eq_1]) ).

cnf(eq_15,plain,
    difference(X,X) = difference(difference(Y,Y),X),
    inference(cp,[status(thm)],[eq_9,eq_10]) ).

cnf(eq_16,plain,
    difference(X,X) = difference(difference(X,Y),X),
    inference(cp,[status(thm)],[eq_0,eq_10]) ).

cnf(eq_17,plain,
    difference(difference(X,difference(Y,Y)),difference(difference(Y,Y),difference(X,X))) = difference(X,difference(Y,Y)),
    inference(cp,[status(thm)],[eq_15,eq_13]) ).

cnf(eq_18,plain,
    difference(difference(x100,X),difference(X,X)) = difference(difference(x100,difference(X,Y)),X),
    inference(cp,[status(thm)],[eq_16,eq_2]) ).

cnf(eq_19,plain,
    difference(difference(Y,Y),X) = difference(difference(x101,x101),X),
    inference(cp,[status(thm)],[eq_15,eq_15]) ).

cnf(eq_20,plain,
    difference(x100,x100) = difference(difference(Y,difference(x100,x100)),difference(Y,difference(x100,x100))),
    inference(cp,[status(thm)],[eq_0,eq_15]) ).

cnf(eq_21,plain,
    difference(X,X) = difference(difference(Y,Y),difference(X,X)),
    inference(rw,[status(thm)],[eq_20,eq_2]) ).

cnf(eq_22,plain,
    difference(X,Y) = difference(difference(X,difference(Y,Z)),Y),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_2]),eq_11]) ).

cnf(eq_23,plain,
    difference(difference(X,X),Y) = difference(difference(Z,Z),Y),
    eq_19 ).

cnf(eq_24,plain,
    difference(difference(X,Y),difference(X,difference(Y,Z))) = difference(difference(X,difference(Y,Z)),difference(X,difference(Y,Z))),
    inference(cp,[status(thm)],[eq_22,eq_16]) ).

cnf(eq_25,plain,
    difference(difference(Z,Y),Z) = difference(difference(x102,x102),difference(Y,Z)),
    inference(cp,[status(thm)],[eq_2,eq_23]) ).

cnf(eq_26,plain,
    difference(X,X) = difference(difference(Y,Y),difference(Z,X)),
    inference(rw,[status(thm)],[eq_25,eq_16]) ).

cnf(eq_27,plain,
    difference(X,X) = difference(X,difference(X,difference(Y,Y))),
    inference(cp,[status(thm)],[eq_26,eq_1]) ).

cnf(eq_28,plain,
    X = difference(X,difference(Y,Y)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_21]),eq_12]),eq_21]),eq_0]) ).

cnf(eq_29,plain,
    difference(difference(x101,x101),difference(Y,difference(difference(difference(x101,x101),Y),difference(x101,x101)))) = difference(difference(difference(x101,x101),Y),difference(difference(x101,x101),Y)),
    inference(cp,[status(thm)],[eq_12,eq_27]) ).

cnf(eq_30,plain,
    difference(X,X) = difference(difference(X,X),Y),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_16]),eq_21]),eq_0]),eq_2]),eq_21]) ).

cnf(eq_31,plain,
    difference(X,Y) = difference(X,difference(X,difference(X,Y))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_16]),eq_28]) ).

cnf(eq_32,plain,
    difference(X,X) = difference(difference(X,Y),difference(X,difference(Y,Z))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_2]),eq_30]) ).

cnf(eq_33,plain,
    difference(difference(X,Y),difference(difference(X,Y),difference(X,difference(Y,difference(Z,X))))) = difference(difference(X,Y),difference(Z,X)),
    inference(cp,[status(thm)],[eq_12,eq_31]) ).

cnf(eq_34,plain,
    difference(X,Y) = difference(X,difference(Y,difference(Z,X))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_32]),eq_12]),eq_28]),eq_12]) ).

cnf(eq_35,plain,
    difference(difference(Y,X),difference(x101,X)) = difference(difference(Y,X),x101),
    inference(cp,[status(thm)],[eq_0,eq_34]) ).

cnf(eq_36,plain,
    difference(difference(X,Y),Z) = difference(difference(X,Z),Y),
    inference(rw,[status(thm)],[eq_35,eq_2]) ).

cnf(eq_37,negated_conjecture,
    difference(difference(a,c),b) != difference(difference(a,c),b),
    inference(cp,[status(thm)],[eq_36,eq_3]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG006-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n005.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 03:54:05 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.09/1.30  % SZS status Unsatisfiable
% 1.09/1.30  % SZS output start CNFRefutation for /tmp/MaedMax_5265
% See solution above
% 1.09/1.30  
%------------------------------------------------------------------------------