%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL027-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n019.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 0.93s 1.12s
% Output   : CNFRefutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   11 (  11 unt;   0 nHn;   8 RR)
%            Number of literals    :   11 (  10 equ;   7 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    :    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_1888') ).

cnf(eq_1,axiom,
    apply(apply(apply(X,Y),Z),Y) = apply(apply(apply(h,X),Y),Z),
    file('/tmp/MaedMax_1888') ).

cnf(eq_2,negated_conjecture,
    X != apply(combinator,X),
    file('/tmp/MaedMax_1888') ).

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

cnf(eq_4,negated_conjecture,
    apply(apply(apply(b,combinator),Y),Z) != apply(Y,Z),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_5,negated_conjecture,
    apply(X,Y) != apply(combinator,apply(X,Y)),
    inference(rw,[status(thm)],[eq_4,eq_0]) ).

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

cnf(eq_7,negated_conjecture,
    apply(combinator,apply(apply(apply(h,apply(b,apply(b,x100))),Y),Z)) != apply(x100,apply(apply(Y,Z),Y)),
    inference(cp,[status(thm)],[eq_3,eq_6]) ).

cnf(eq_8,negated_conjecture,
    apply(X,apply(apply(Y,Z),Y)) != apply(combinator,apply(apply(apply(h,apply(b,apply(b,X))),Y),Z)),
    eq_7 ).

cnf(eq_9,negated_conjecture,
    apply(X,apply(apply(Y,Z),Y)) != apply(X,apply(apply(Y,Z),Y)),
    eq_8 ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : COL027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n019.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 03:11:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.93/1.12  % SZS status Unsatisfiable
% 0.93/1.12  % SZS output start CNFRefutation for /tmp/MaedMax_1888
% See solution above
% 0.93/1.12  
%------------------------------------------------------------------------------