%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL075-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n007.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 06:58:24 EDT 2022

% Result   : Unsatisfiable 0.59s 0.81s
% Output   : CNFRefutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   3 RR)
%            Number of literals    :    8 (   7 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = apply(apply(k,X),Y),
    file('/tmp/MaedMax_9368') ).

cnf(eq_1,axiom,
    apply(apply(X,apply(k,Y)),apply(Z,Y)) = apply(apply(apply(abstraction,X),Z),Y),
    file('/tmp/MaedMax_9368') ).

cnf(eq_2,negated_conjecture,
    apply(apply(X,b(X)),c(X)) != apply(b(X),b(X)),
    file('/tmp/MaedMax_9368') ).

cnf(eq_3,plain,
    apply(apply(apply(apply(abstraction,abstraction),Z),Y),x102) = apply(apply(apply(k,Y),apply(k,x102)),apply(apply(Z,Y),x102)),
    inference(cp,[status(thm)],[eq_1,eq_1]) ).

cnf(eq_4,plain,
    apply(X,apply(apply(Y,X),Z)) = apply(apply(apply(apply(abstraction,abstraction),Y),X),Z),
    inference(rw,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_5,plain,
    apply(X,X) = apply(apply(apply(apply(abstraction,abstraction),k),X),Y),
    inference(cp,[status(thm)],[eq_0,eq_4]) ).

cnf(eq_6,negated_conjecture,
    apply(b(apply(apply(abstraction,abstraction),k)),b(apply(apply(abstraction,abstraction),k))) != apply(b(apply(apply(abstraction,abstraction),k)),b(apply(apply(abstraction,abstraction),k))),
    inference(cp,[status(thm)],[eq_5,eq_2]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL075-2 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n007.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 02:48:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.59/0.81  % SZS status Unsatisfiable
% 0.59/0.81  % SZS output start CNFRefutation for /tmp/MaedMax_9368
% See solution above
% 0.59/0.81  
%------------------------------------------------------------------------------