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MaedMax---1.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL066-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n026.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 0.18s 0.48s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    7 (   7 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   6 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    apply(X,apply(Y,Z)) = apply(apply(apply(q,Y),X),Z),
    file('/tmp/MaedMax_8425') ).

cnf(eq_1,axiom,
    apply(apply(X,Y),Y) = apply(apply(w,X),Y),
    file('/tmp/MaedMax_8425') ).

cnf(eq_2,negated_conjecture,
    apply(apply(apply(apply(apply(apply(q,q),apply(w,apply(q,apply(q,q)))),x),y),y),z) != apply(apply(x,y),apply(apply(x,y),z)),
    file('/tmp/MaedMax_8425') ).

cnf(eq_3,negated_conjecture,
    apply(apply(apply(apply(apply(w,apply(q,apply(q,q))),apply(q,x)),y),y),z) != apply(apply(x,y),apply(apply(x,y),z)),
    inference(rw,[status(thm)],[eq_2,eq_0]) ).

cnf(eq_4,negated_conjecture,
    apply(apply(apply(apply(apply(apply(q,apply(q,q)),apply(q,x)),apply(q,x)),y),y),z) != apply(apply(x,y),apply(apply(x,y),z)),
    inference(cp,[status(thm)],[eq_1,eq_3]) ).

cnf(eq_5,negated_conjecture,
    apply(apply(x,y),apply(apply(x,y),z)) != apply(apply(x,y),apply(apply(x,y),z)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_0]),eq_0]),eq_0]),eq_0]),eq_0]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COL066-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.12/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n026.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 03:13:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.48  % SZS status Unsatisfiable
% 0.18/0.48  % SZS output start CNFRefutation for /tmp/MaedMax_8425
% See solution above
% 0.18/0.48  
%------------------------------------------------------------------------------