%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n027.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 1.29s 1.48s
% Output   : CNFRefutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   15 (  15 unt;   0 nHn;   7 RR)
%            Number of literals    :   15 (  14 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    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   30 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    apply(apply(X,Y),apply(Z,Y)) = apply(apply(apply(s,X),Z),Y),
    file('/tmp/MaedMax_24933') ).

cnf(eq_1,axiom,
    X = apply(apply(k,X),Y),
    file('/tmp/MaedMax_24933') ).

cnf(eq_2,negated_conjecture,
    X != apply(combinator,X),
    file('/tmp/MaedMax_24933') ).

cnf(eq_3,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_4,plain,
    apply(apply(x100,Y),apply(apply(X,Y),apply(Z,Y))) = apply(apply(apply(s,x100),apply(apply(s,X),Z)),Y),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_5,plain,
    apply(apply(X,Y),apply(apply(Z,Y),apply(x3,Y))) = apply(apply(apply(s,X),apply(apply(s,Z),x3)),Y),
    eq_4 ).

cnf(eq_6,plain,
    apply(X,apply(Y,Z)) = apply(apply(apply(s,apply(k,X)),Y),Z),
    eq_3 ).

cnf(eq_7,plain,
    apply(apply(x100,X),X) = apply(apply(apply(s,x100),apply(apply(s,k),x103)),X),
    inference(cp,[status(thm)],[eq_1,eq_5]) ).

cnf(eq_8,plain,
    apply(apply(X,Y),Y) = apply(apply(apply(s,X),apply(apply(s,k),Z)),Y),
    eq_7 ).

cnf(eq_9,negated_conjecture,
    apply(apply(apply(s,apply(k,combinator)),Y),Z) != apply(Y,Z),
    inference(cp,[status(thm)],[eq_6,eq_2]) ).

cnf(eq_10,negated_conjecture,
    apply(X,Y) != apply(apply(apply(s,apply(k,combinator)),X),Y),
    eq_9 ).

cnf(eq_11,negated_conjecture,
    apply(apply(apply(s,apply(s,apply(k,combinator))),apply(apply(s,k),Z)),Y) != apply(Y,Y),
    inference(cp,[status(thm)],[eq_8,eq_10]) ).

cnf(eq_12,negated_conjecture,
    apply(X,X) != apply(apply(apply(s,apply(s,apply(k,combinator))),apply(apply(s,k),Y)),X),
    eq_11 ).

cnf(eq_13,negated_conjecture,
    apply(X,X) != apply(X,X),
    eq_12 ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Jul 26 03:22:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.29/1.48  % SZS status Unsatisfiable
% 1.29/1.48  % SZS output start CNFRefutation for /tmp/MaedMax_24933
% See solution above
% 1.29/1.48  
%------------------------------------------------------------------------------