%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COL064-11 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 Apr 30 20:13:44 EDT 2024

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   12 (  12   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y,Z] : apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y] : apply(apply(t,X),Y) = apply(Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    apply(apply(apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t)),t),x),y),z) != apply(apply(z,x),y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [X0,X1,X2] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,plain,
    apply(apply(apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t)),t),x),y),z) != apply(apply(z,x),y),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f7,plain,
    apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t),apply(t,x)),y),z) != apply(apply(z,x),y),
    inference(backward_demodulation,[status(thm)],[f4,f6]) ).

fof(f8,plain,
    apply(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),b),apply(t,apply(t,x))),y),z) != apply(apply(z,x),y),
    inference(forward_demodulation,[status(thm)],[f4,f7]) ).

fof(f9,plain,
    apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(t,apply(t,x)))),y),z) != apply(apply(z,x),y),
    inference(forward_demodulation,[status(thm)],[f4,f8]) ).

fof(f10,plain,
    apply(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),z) != apply(apply(z,x),y),
    inference(forward_demodulation,[status(thm)],[f5,f9]) ).

fof(f11,plain,
    apply(apply(apply(t,apply(t,x)),apply(apply(apply(b,b),t),y)),z) != apply(apply(z,x),y),
    inference(forward_demodulation,[status(thm)],[f4,f10]) ).

fof(f12,plain,
    apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z) != apply(apply(z,x),y),
    inference(forward_demodulation,[status(thm)],[f5,f11]) ).

fof(f13,plain,
    apply(apply(apply(b,apply(t,y)),apply(t,x)),z) != apply(apply(z,x),y),
    inference(forward_demodulation,[status(thm)],[f4,f12]) ).

fof(f14,plain,
    apply(apply(t,y),apply(apply(t,x),z)) != apply(apply(z,x),y),
    inference(forward_demodulation,[status(thm)],[f4,f13]) ).

fof(f15,plain,
    apply(apply(apply(t,x),z),y) != apply(apply(z,x),y),
    inference(forward_demodulation,[status(thm)],[f5,f14]) ).

fof(f16,plain,
    apply(apply(z,x),y) != apply(apply(z,x),y),
    inference(forward_demodulation,[status(thm)],[f5,f15]) ).

fof(f17,plain,
    $false,
    inference(equality_resolution,[status(esa)],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL064-11 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 22:48:02 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37  % Elapsed time: 0.015216 seconds
% 0.14/0.37  % CPU time: 0.024822 seconds
% 0.14/0.37  % Total memory used: 2.381 MB
% 0.14/0.37  % Net memory used: 2.181 MB
%------------------------------------------------------------------------------