%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL035-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n011.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 06:58:16 EDT 2022

% Result   : Unsatisfiable 0.86s 1.05s
% Output   : CNFRefutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   14 (  14 unt;   0 nHn;   7 RR)
%            Number of literals    :   14 (  13 equ;   6 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    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    apply(X,apply(Y,Y)) = apply(apply(l,X),Y),
    file('/tmp/MaedMax_17949') ).

cnf(eq_1,axiom,
    apply(apply(X,Y),Y) = apply(apply(w,X),Y),
    file('/tmp/MaedMax_17949') ).

cnf(eq_2,axiom,
    apply(X,apply(Y,Z)) = apply(apply(apply(q,Y),X),Z),
    file('/tmp/MaedMax_17949') ).

cnf(eq_3,negated_conjecture,
    apply(X,f(X)) != apply(f(X),apply(X,f(X))),
    file('/tmp/MaedMax_17949') ).

cnf(eq_4,plain,
    apply(apply(w,apply(q,x100)),Y) = apply(Y,apply(x100,Y)),
    inference(cp,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_5,plain,
    apply(apply(l,apply(apply(q,x100),x101)),Y) = apply(x101,apply(x100,apply(Y,Y))),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_6,plain,
    apply(X,apply(Y,X)) = apply(apply(w,apply(q,Y)),X),
    eq_4 ).

cnf(eq_7,plain,
    apply(X,apply(Y,apply(Z,Z))) = apply(apply(l,apply(apply(q,Y),X)),Z),
    eq_5 ).

cnf(eq_8,negated_conjecture,
    apply(apply(w,apply(q,Y)),f(Y)) != apply(Y,f(Y)),
    inference(cp,[status(thm)],[eq_6,eq_3]) ).

cnf(eq_9,negated_conjecture,
    apply(X,f(X)) != apply(apply(w,apply(q,X)),f(X)),
    eq_8 ).

cnf(eq_10,negated_conjecture,
    apply(apply(apply(l,apply(apply(q,q),w)),Z),f(apply(Z,Z))) != apply(apply(Z,Z),f(apply(Z,Z))),
    inference(cp,[status(thm)],[eq_7,eq_9]) ).

cnf(eq_11,negated_conjecture,
    apply(apply(X,X),f(apply(X,X))) != apply(apply(apply(l,apply(apply(q,q),w)),X),f(apply(X,X))),
    eq_10 ).

cnf(eq_12,negated_conjecture,
    apply(apply(X,X),f(apply(X,X))) != apply(apply(X,X),f(apply(X,X))),
    eq_11 ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL035-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Jul 26 02:59:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.86/1.05  % SZS status Unsatisfiable
% 0.86/1.05  % SZS output start CNFRefutation for /tmp/MaedMax_17949
% See solution above
% 0.86/1.05  
%------------------------------------------------------------------------------