%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL023-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n029.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 06:58:15 EDT 2022

% Result   : Unsatisfiable 1.19s 1.37s
% Output   : CNFRefutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   13 (  13 unt;   0 nHn;   8 RR)
%            Number of literals    :   13 (  12 equ;   7 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    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   25 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
    file('/tmp/MaedMax_6788') ).

cnf(eq_1,axiom,
    apply(apply(apply(X,Y),Z),Y) = apply(apply(apply(n,X),Z),Y),
    file('/tmp/MaedMax_6788') ).

cnf(eq_2,negated_conjecture,
    X != apply(combinator,X),
    file('/tmp/MaedMax_6788') ).

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

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

cnf(eq_5,negated_conjecture,
    apply(apply(apply(b,combinator),Y),Z) != apply(Y,Z),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_6,negated_conjecture,
    apply(X,Y) != apply(combinator,apply(X,Y)),
    inference(rw,[status(thm)],[eq_5,eq_0]) ).

cnf(eq_7,plain,
    apply(apply(X,apply(Y,X)),Y) = apply(apply(apply(n,apply(n,b)),X),Y),
    inference(cp,[status(thm)],[eq_4,eq_1]) ).

cnf(eq_8,negated_conjecture,
    apply(combinator,apply(apply(apply(b,X),Y),Z)) != apply(X,apply(Y,Z)),
    inference(cp,[status(thm)],[eq_0,eq_6]) ).

cnf(eq_9,negated_conjecture,
    apply(combinator,apply(apply(apply(n,apply(n,b)),apply(b,x100)),Y)) != apply(x100,apply(apply(Y,apply(b,x100)),Y)),
    inference(cp,[status(thm)],[eq_7,eq_8]) ).

cnf(eq_10,negated_conjecture,
    apply(X,apply(apply(Y,apply(b,X)),Y)) != apply(combinator,apply(apply(apply(n,apply(n,b)),apply(b,X)),Y)),
    eq_9 ).

cnf(eq_11,negated_conjecture,
    apply(X,apply(apply(Y,apply(b,X)),Y)) != apply(X,apply(apply(Y,apply(b,X)),Y)),
    eq_10 ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : COL023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command  : run_maedmax %d %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Jul 26 03:17:43 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 1.19/1.37  % SZS status Unsatisfiable
% 1.19/1.37  % SZS output start CNFRefutation for /tmp/MaedMax_6788
% See solution above
% 1.19/1.37  
%------------------------------------------------------------------------------