%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n020.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 06:58:16 EDT 2022

% Result   : Unsatisfiable 0.94s 1.14s
% Output   : CNFRefutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (  11 unt;   0 nHn;   5 RR)
%            Number of literals    :   11 (  10 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
    file('/tmp/MaedMax_12621') ).

cnf(eq_1,axiom,
    apply(X,apply(Y,Y)) = apply(apply(l,X),Y),
    file('/tmp/MaedMax_12621') ).

cnf(eq_2,axiom,
    apply(X,X) = apply(m,X),
    file('/tmp/MaedMax_12621') ).

cnf(eq_3,negated_conjecture,
    apply(X,f(X)) != apply(f(X),apply(X,f(X))),
    file('/tmp/MaedMax_12621') ).

cnf(eq_4,plain,
    apply(x100,apply(m,X)) = apply(apply(l,x100),X),
    inference(cp,[status(thm)],[eq_2,eq_1]) ).

cnf(eq_5,plain,
    apply(X,apply(m,Y)) = apply(apply(l,X),Y),
    eq_4 ).

cnf(eq_6,negated_conjecture,
    apply(f(apply(apply(b,X),Y)),apply(X,apply(Y,f(apply(apply(b,X),Y))))) != apply(apply(apply(b,X),Y),f(apply(apply(b,X),Y))),
    inference(cp,[status(thm)],[eq_0,eq_3]) ).

cnf(eq_7,negated_conjecture,
    apply(X,apply(Y,f(apply(apply(b,X),Y)))) != apply(f(apply(apply(b,X),Y)),apply(X,apply(Y,f(apply(apply(b,X),Y))))),
    inference(rw,[status(thm)],[eq_6,eq_0]) ).

cnf(eq_8,plain,
    apply(X,apply(m,apply(l,X))) = apply(m,apply(l,X)),
    inference(cp,[status(thm)],[eq_5,eq_2]) ).

cnf(eq_9,negated_conjecture,
    apply(m,apply(l,f(apply(apply(b,m),l)))) != apply(m,apply(l,f(apply(apply(b,m),l)))),
    inference(cp,[status(thm)],[eq_8,eq_7]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : COL033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : run_maedmax %d %s
% 0.11/0.33  % Computer : n020.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Tue Jul 26 03:02:39 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.94/1.14  % SZS status Unsatisfiable
% 0.94/1.14  % SZS output start CNFRefutation for /tmp/MaedMax_12621
% See solution above
% 0.94/1.14  
%------------------------------------------------------------------------------