%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL042-7 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n005.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 06:58:17 EDT 2022

% Result   : Unsatisfiable 1.05s 1.28s
% Output   : CNFRefutation 1.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   19 (  19 unt;   0 nHn;  12 RR)
%            Number of literals    :   19 (  18 equ;   9 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    :    7 (   7 usr;   6 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_20157') ).

cnf(eq_1,axiom,
    apply(apply(X,Y),Y) = apply(apply(w1,Y),X),
    file('/tmp/MaedMax_20157') ).

cnf(eq_2,axiom,
    apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)) = strong_fixed_point,
    file('/tmp/MaedMax_20157') ).

cnf(eq_3,negated_conjecture,
    apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
    file('/tmp/MaedMax_20157') ).

cnf(eq_4,plain,
    apply(strong_fixed_point,x102) = apply(apply(apply(b,apply(w1,w1)),apply(b,w1)),apply(apply(apply(b,b),b),x102)),
    inference(cp,[status(thm)],[eq_2,eq_0]) ).

cnf(eq_5,plain,
    apply(x100,apply(apply(w1,Y),X)) = apply(apply(apply(b,x100),apply(X,Y)),Y),
    inference(cp,[status(thm)],[eq_1,eq_0]) ).

cnf(eq_6,plain,
    apply(apply(X,X),X) = apply(apply(w1,X),w1),
    inference(cp,[status(thm)],[eq_1,eq_1]) ).

cnf(eq_7,plain,
    apply(apply(X,apply(Y,Z)),Z) = apply(apply(w1,Z),apply(apply(b,X),Y)),
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_8,plain,
    apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,X)))) = apply(strong_fixed_point,X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_0]),eq_0]) ).

cnf(eq_9,plain,
    apply(X,apply(apply(Y,Z),Z)) = apply(X,apply(apply(w1,Z),Y)),
    inference(rw,[status(thm)],[eq_5,eq_0]) ).

cnf(eq_10,negated_conjecture,
    apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_3,eq_2]),eq_0]),eq_0]),eq_0]),eq_2]),eq_0]),eq_0]),eq_0]) ).

cnf(eq_11,negated_conjecture,
    apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1)) != apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))),
    inference(cp,[status(thm)],[eq_7,eq_10]) ).

cnf(eq_12,negated_conjecture,
    apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1))) != apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))),
    inference(cp,[status(thm)],[eq_9,eq_11]) ).

cnf(eq_13,negated_conjecture,
    apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1))),
    inference(rw,[status(thm)],[eq_12,eq_8]) ).

cnf(eq_14,negated_conjecture,
    apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_2]),eq_0]),eq_0]),eq_0]) ).

cnf(eq_15,negated_conjecture,
    apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1) != apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1))),
    inference(cp,[status(thm)],[eq_7,eq_14]) ).

cnf(eq_16,negated_conjecture,
    apply(apply(apply(apply(b,apply(b,fixed_pt)),w1),apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1)) != apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1))),
    inference(cp,[status(thm)],[eq_6,eq_15]) ).

cnf(eq_17,negated_conjecture,
    apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1))) != apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_0]),eq_0]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COL042-7 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13  % Command  : run_maedmax %d %s
% 0.12/0.32  % Computer : n005.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Tue Jul 26 03:04:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.05/1.28  % SZS status Unsatisfiable
% 1.05/1.28  % SZS output start CNFRefutation for /tmp/MaedMax_20157
% See solution above
% 1.05/1.28  
%------------------------------------------------------------------------------