%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL036-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n009.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 156.88s 157.14s
% Output   : CNFRefutation 156.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   20 (  20 unt;   0 nHn;   9 RR)
%            Number of literals    :   20 (  19 equ;   8 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    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   40 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    apply(apply(X,Y),apply(Z,Y)) = apply(apply(apply(s,X),Z),Y),
    file('/tmp/MaedMax_18591') ).

cnf(eq_1,axiom,
    apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
    file('/tmp/MaedMax_18591') ).

cnf(eq_2,axiom,
    apply(X,Y) = apply(apply(t,Y),X),
    file('/tmp/MaedMax_18591') ).

cnf(eq_3,negated_conjecture,
    apply(X,f(X)) != apply(f(X),apply(X,f(X))),
    file('/tmp/MaedMax_18591') ).

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

cnf(eq_5,plain,
    apply(apply(apply(s,t),Z),Y) = apply(apply(Z,Y),Y),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_6,plain,
    apply(apply(X,Y),Y) = apply(apply(apply(s,t),X),Y),
    eq_5 ).

cnf(eq_7,plain,
    apply(X,apply(apply(Y,X),Z)) = apply(apply(apply(apply(s,b),Y),X),Z),
    eq_4 ).

cnf(eq_8,negated_conjecture,
    apply(f(apply(apply(s,X),Z)),apply(apply(X,f(apply(apply(s,X),Z))),apply(Z,f(apply(apply(s,X),Z))))) != apply(apply(apply(s,X),Z),f(apply(apply(s,X),Z))),
    inference(cp,[status(thm)],[eq_0,eq_3]) ).

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

cnf(eq_10,plain,
    apply(X,apply(Z,Z)) = apply(apply(apply(s,t),apply(b,X)),Z),
    inference(cp,[status(thm)],[eq_1,eq_6]) ).

cnf(eq_11,plain,
    apply(apply(apply(s,apply(apply(s,b),x100)),Z),Y) = apply(Y,apply(apply(x100,Y),apply(Z,Y))),
    inference(cp,[status(thm)],[eq_0,eq_7]) ).

cnf(eq_12,plain,
    apply(X,apply(apply(Y,X),apply(Z,X))) = apply(apply(apply(s,apply(apply(s,b),Y)),Z),X),
    eq_11 ).

cnf(eq_13,plain,
    apply(X,apply(Y,Y)) = apply(apply(apply(s,t),apply(b,X)),Y),
    eq_10 ).

cnf(eq_14,negated_conjecture,
    apply(apply(apply(s,apply(apply(s,b),Y)),Z),f(apply(apply(s,Y),Z))) != apply(apply(apply(s,Y),Z),f(apply(apply(s,Y),Z))),
    inference(cp,[status(thm)],[eq_12,eq_9]) ).

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

cnf(eq_16,negated_conjecture,
    apply(apply(apply(s,apply(apply(apply(s,t),apply(b,apply(s,b))),Y)),x101),f(apply(apply(s,apply(Y,Y)),x101))) != apply(apply(apply(s,apply(Y,Y)),x101),f(apply(apply(s,apply(Y,Y)),x101))),
    inference(cp,[status(thm)],[eq_13,eq_15]) ).

cnf(eq_17,negated_conjecture,
    apply(apply(apply(s,apply(X,X)),Y),f(apply(apply(s,apply(X,X)),Y))) != apply(apply(apply(s,apply(apply(apply(s,t),apply(b,apply(s,b))),X)),Y),f(apply(apply(s,apply(X,X)),Y))),
    eq_16 ).

cnf(eq_18,negated_conjecture,
    apply(apply(apply(s,apply(X,X)),Y),f(apply(apply(s,apply(X,X)),Y))) != apply(apply(apply(s,apply(X,X)),Y),f(apply(apply(s,apply(X,X)),Y))),
    eq_17 ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COL036-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n009.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 03:07:51 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 156.88/157.14  % SZS status Unsatisfiable
% 156.88/157.14  % SZS output start CNFRefutation for /tmp/MaedMax_18591
% See solution above
% 156.88/157.14  
%------------------------------------------------------------------------------