%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL002-4 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n014.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 06:58:09 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   9 unt;   0 nHn;   3 RR)
%            Number of literals    :    9 (   8 equ;   2 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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    apply(apply(X,Y),apply(Z,Y)) = apply(apply(apply(s,X),Z),Y),
    file('/tmp/MaedMax_29152') ).

cnf(eq_1,axiom,
    apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
    file('/tmp/MaedMax_29152') ).

cnf(eq_2,axiom,
    X = apply(i,X),
    file('/tmp/MaedMax_29152') ).

cnf(eq_3,axiom,
    apply(apply(apply(s,apply(b,X)),i),apply(apply(s,apply(b,X)),i)) = weak_fixed_point(X),
    file('/tmp/MaedMax_29152') ).

cnf(eq_4,negated_conjecture,
    apply(fixed_pt,weak_fixed_point(fixed_pt)) != weak_fixed_point(fixed_pt),
    file('/tmp/MaedMax_29152') ).

cnf(eq_5,plain,
    weak_fixed_point(X) = apply(apply(apply(b,X),apply(apply(s,apply(b,X)),i)),apply(i,apply(apply(s,apply(b,X)),i))),
    inference(cp,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_6,plain,
    apply(X,weak_fixed_point(X)) = weak_fixed_point(X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_2]),eq_1]),eq_3]) ).

cnf(eq_7,negated_conjecture,
    weak_fixed_point(fixed_pt) != weak_fixed_point(fixed_pt),
    inference(cp,[status(thm)],[eq_6,eq_4]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL002-4 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.12  % Command  : run_maedmax %d %s
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Jul 26 03:03:55 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.52  % SZS status Unsatisfiable
% 0.19/0.52  % SZS output start CNFRefutation for /tmp/MaedMax_29152
% See solution above
% 0.19/0.52  
%------------------------------------------------------------------------------