%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n018.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 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   22 (  22 unt;   0 nHn;   7 RR)
%            Number of literals    :   22 (  21 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   1 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   :   26 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = implies(truth,X),
    file('/tmp/MaedMax_21597') ).

cnf(eq_1,axiom,
    truth = implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),
    file('/tmp/MaedMax_21597') ).

cnf(eq_2,axiom,
    implies(implies(X,Y),Y) = implies(implies(Y,X),X),
    file('/tmp/MaedMax_21597') ).

cnf(eq_3,axiom,
    implies(X,Y) = implies(Y,X),
    file('/tmp/MaedMax_21597') ).

cnf(eq_4,negated_conjecture,
    x != y,
    file('/tmp/MaedMax_21597') ).

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,
    X = implies(X,truth),
    inference(cp,[status(thm)],[eq_0,eq_3]) ).

cnf(eq_7,plain,
    implies(implies(Y,X),Y) = implies(implies(Y,X),X),
    inference(cp,[status(thm)],[eq_3,eq_2]) ).

cnf(eq_8,plain,
    truth = implies(X,implies(implies(X,Y),Y)),
    inference(rw,[status(thm)],[eq_5,eq_0]) ).

cnf(eq_9,plain,
    implies(implies(X,Y),X) = implies(implies(X,Y),Y),
    eq_7 ).

cnf(eq_10,plain,
    truth = implies(implies(truth,Y),Y),
    inference(cp,[status(thm)],[eq_8,eq_0]) ).

cnf(eq_11,plain,
    implies(truth,x101) = implies(implies(truth,x101),x101),
    inference(cp,[status(thm)],[eq_6,eq_9]) ).

cnf(eq_12,plain,
    X = implies(X,X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_0]),eq_0]) ).

cnf(eq_13,plain,
    truth = implies(X,X),
    inference(rw,[status(thm)],[eq_10,eq_0]) ).

cnf(eq_14,plain,
    X = truth,
    inference(rw,[status(thm)],[eq_13,eq_12]) ).

cnf(eq_15,plain,
    X = x100,
    inference(cp,[status(thm)],[eq_14,eq_14]) ).

cnf(eq_16,plain,
    X = Y,
    eq_15 ).

cnf(eq_17,negated_conjecture,
    truth != x,
    inference(cp,[status(thm)],[eq_14,eq_4]) ).

cnf(eq_18,negated_conjecture,
    Y != x,
    inference(cp,[status(thm)],[eq_16,eq_17]) ).

cnf(eq_19,negated_conjecture,
    X != x,
    eq_18 ).

cnf(eq_20,negated_conjecture,
    X != X,
    eq_19 ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : run_maedmax %d %s
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Jul 26 05:41:15 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.51  % SZS status Unsatisfiable
% 0.19/0.51  % SZS output start CNFRefutation for /tmp/MaedMax_21597
% See solution above
% 0.19/0.51  
%------------------------------------------------------------------------------