%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL044-1 : TPTP v8.1.0. Released v1.0.0.
% 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 06:58:18 EDT 2022

% Result   : Unsatisfiable 3.34s 3.54s
% Output   : CNFRefutation 3.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   18 (  18 unt;   0 nHn;  11 RR)
%            Number of literals    :   18 (  17 equ;  10 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   38 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
    file('/tmp/MaedMax_20843') ).

cnf(eq_1,axiom,
    apply(apply(apply(X,Y),Z),Y) = apply(apply(apply(n,X),Z),Y),
    file('/tmp/MaedMax_20843') ).

cnf(eq_2,negated_conjecture,
    apply(X,f(X)) != apply(f(X),apply(X,f(X))),
    file('/tmp/MaedMax_20843') ).

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

cnf(eq_4,plain,
    apply(apply(X,apply(Y,Z)),Y) = apply(apply(apply(n,apply(b,X)),Z),Y),
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_5,plain,
    apply(X,apply(Y,X)) = apply(apply(apply(n,b),Y),X),
    eq_3 ).

cnf(eq_6,plain,
    apply(apply(apply(n,apply(b,apply(b,x100))),Z),Y) = apply(x100,apply(apply(Y,Z),Y)),
    inference(cp,[status(thm)],[eq_4,eq_0]) ).

cnf(eq_7,plain,
    apply(X,apply(apply(Y,Z),Y)) = apply(apply(apply(n,apply(b,apply(b,X))),Z),Y),
    eq_6 ).

cnf(eq_8,negated_conjecture,
    apply(apply(apply(n,b),Y),f(Y)) != apply(Y,f(Y)),
    inference(cp,[status(thm)],[eq_5,eq_2]) ).

cnf(eq_9,negated_conjecture,
    apply(X,f(X)) != apply(apply(apply(n,b),X),f(X)),
    eq_8 ).

cnf(eq_10,negated_conjecture,
    apply(apply(apply(apply(b,apply(n,b)),Y),Z),f(apply(Y,Z))) != apply(apply(Y,Z),f(apply(Y,Z))),
    inference(cp,[status(thm)],[eq_0,eq_9]) ).

cnf(eq_11,negated_conjecture,
    apply(apply(X,Y),f(apply(X,Y))) != apply(apply(apply(n,b),apply(X,Y)),f(apply(X,Y))),
    inference(rw,[status(thm)],[eq_10,eq_0]) ).

cnf(eq_12,negated_conjecture,
    apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))) != apply(apply(apply(n,b),apply(X,apply(Y,Z))),f(apply(X,apply(Y,Z)))),
    inference(cp,[status(thm)],[eq_0,eq_11]) ).

cnf(eq_13,negated_conjecture,
    apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))) != apply(apply(apply(n,b),apply(X,apply(Y,Z))),f(apply(X,apply(Y,Z)))),
    inference(rw,[status(thm)],[eq_12,eq_0]) ).

cnf(eq_14,negated_conjecture,
    apply(apply(apply(apply(n,apply(b,apply(b,apply(n,b)))),Z),apply(x101,x102)),f(apply(apply(apply(x101,x102),Z),apply(x101,x102)))) != apply(apply(apply(apply(x101,x102),Z),apply(x101,x102)),f(apply(apply(apply(x101,x102),Z),apply(x101,x102)))),
    inference(cp,[status(thm)],[eq_7,eq_13]) ).

cnf(eq_15,negated_conjecture,
    apply(apply(apply(apply(X,Y),Z),apply(X,Y)),f(apply(apply(apply(X,Y),Z),apply(X,Y)))) != apply(apply(apply(apply(n,apply(b,apply(b,apply(n,b)))),Z),apply(X,Y)),f(apply(apply(apply(X,Y),Z),apply(X,Y)))),
    eq_14 ).

cnf(eq_16,negated_conjecture,
    apply(apply(apply(apply(X,Y),Z),apply(X,Y)),f(apply(apply(apply(X,Y),Z),apply(X,Y)))) != apply(apply(apply(apply(X,Y),Z),apply(X,Y)),f(apply(apply(apply(X,Y),Z),apply(X,Y)))),
    eq_15 ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COL044-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Jul 26 03:04:35 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 3.34/3.54  % SZS status Unsatisfiable
% 3.34/3.54  % SZS output start CNFRefutation for /tmp/MaedMax_20843
% See solution above
% 3.34/3.54  
%------------------------------------------------------------------------------