%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL048-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n012.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 06:58:19 EDT 2022

% Result   : Unsatisfiable 0.37s 0.53s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    9 (   9 unt;   0 nHn;   5 RR)
%            Number of literals    :    9 (   8 equ;   4 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    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
    file('/tmp/MaedMax_9391') ).

cnf(eq_1,axiom,
    apply(apply(X,Y),Y) = apply(apply(w,X),Y),
    file('/tmp/MaedMax_9391') ).

cnf(eq_2,negated_conjecture,
    X != apply(combinator,X),
    file('/tmp/MaedMax_9391') ).

cnf(eq_3,plain,
    apply(apply(w,apply(b,X100)),Y) = apply(X100,apply(Y,Y)),
    inference(cp,[status(thm)],[eq_1,eq_0]) ).

cnf(eq_4,plain,
    apply(X,apply(Y,Y)) = apply(apply(w,apply(b,X)),Y),
    eq_3 ).

cnf(eq_5,negated_conjecture,
    apply(apply(w,apply(b,combinator)),Y) != apply(Y,Y),
    inference(cp,[status(thm)],[eq_4,eq_2]) ).

cnf(eq_6,negated_conjecture,
    apply(X,X) != apply(apply(w,apply(b,combinator)),X),
    eq_5 ).

cnf(eq_7,negated_conjecture,
    apply(X,X) != apply(X,X),
    eq_6 ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : COL048-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Jul 26 03:14:21 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.37/0.53  % SZS status Unsatisfiable
% 0.37/0.53  % SZS output start CNFRefutation for /tmp/MaedMax_9391
% See solution above
% 0.37/0.53  
%------------------------------------------------------------------------------