%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n020.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 06:58:08 EDT 2022

% Result   : Unsatisfiable 1.08s 1.25s
% Output   : CNFRefutation 1.08s
% 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;   6 con; 0-2 aty)
%            Number of variables   :   22 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    apply(apply(X,Y),apply(Z,Y)) = apply(apply(apply(s,X),Z),Y),
    file('/tmp/MaedMax_22488') ).

cnf(eq_1,axiom,
    X = apply(apply(k,X),Y),
    file('/tmp/MaedMax_22488') ).

cnf(eq_2,axiom,
    X = apply(i,X),
    file('/tmp/MaedMax_22488') ).

cnf(eq_3,negated_conjecture,
    X != apply(combinator,X),
    file('/tmp/MaedMax_22488') ).

cnf(eq_4,plain,
    apply(X,apply(x102,Y)) = apply(apply(apply(s,apply(k,X)),x102),Y),
    inference(cp,[status(thm)],[eq_1,eq_0]) ).

cnf(eq_5,plain,
    apply(apply(x100,X),X) = apply(apply(apply(s,x100),i),X),
    inference(cp,[status(thm)],[eq_2,eq_0]) ).

cnf(eq_6,plain,
    apply(X,apply(Y,Z)) = apply(apply(apply(s,apply(k,X)),Y),Z),
    eq_4 ).

cnf(eq_7,plain,
    apply(apply(X,Y),Y) = apply(apply(apply(s,X),i),Y),
    eq_5 ).

cnf(eq_8,negated_conjecture,
    apply(apply(apply(s,apply(k,combinator)),Y),Z) != apply(Y,Z),
    inference(cp,[status(thm)],[eq_6,eq_3]) ).

cnf(eq_9,negated_conjecture,
    apply(X,Y) != apply(apply(apply(s,apply(k,combinator)),X),Y),
    eq_8 ).

cnf(eq_10,negated_conjecture,
    apply(apply(apply(s,apply(s,apply(k,combinator))),i),Y) != apply(Y,Y),
    inference(cp,[status(thm)],[eq_7,eq_9]) ).

cnf(eq_11,negated_conjecture,
    apply(X,X) != apply(apply(apply(s,apply(s,apply(k,combinator))),i),X),
    eq_10 ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n020.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 03:06:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.08/1.25  % SZS status Unsatisfiable
% 1.08/1.25  % SZS output start CNFRefutation for /tmp/MaedMax_22488
% See solution above
% 1.08/1.25  
%------------------------------------------------------------------------------