%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COL063-3 : 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 20:13:43 EDT 2024

% Result   : Unsatisfiable 0.17s 0.33s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   10 (  10   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    9 (   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(t,t)),b)),apply(apply(b,b),t)),x),y),z) != apply(apply(z,y),x),
    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(t,t)),b)),apply(apply(b,b),t)),x),y),z) != apply(apply(z,y),x),
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

fof(f9,plain,
    apply(apply(apply(apply(b,apply(apply(apply(b,b),t),x)),t),y),z) != apply(apply(z,y),x),
    inference(forward_demodulation,[status(thm)],[f5,f8]) ).

fof(f10,plain,
    apply(apply(apply(apply(apply(b,b),t),x),apply(t,y)),z) != apply(apply(z,y),x),
    inference(forward_demodulation,[status(thm)],[f4,f9]) ).

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

fof(f12,plain,
    apply(apply(t,x),apply(apply(t,y),z)) != apply(apply(z,y),x),
    inference(forward_demodulation,[status(thm)],[f4,f11]) ).

fof(f13,plain,
    apply(apply(apply(t,y),z),x) != apply(apply(z,y),x),
    inference(forward_demodulation,[status(thm)],[f5,f12]) ).

fof(f14,plain,
    apply(apply(z,y),x) != apply(apply(z,y),x),
    inference(forward_demodulation,[status(thm)],[f5,f13]) ).

fof(f15,plain,
    $false,
    inference(equality_resolution,[status(esa)],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : COL063-3 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.11/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31  % Computer : n015.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Mon Apr 29 22:48:32 EDT 2024
% 0.17/0.32  % CPUTime  : 
% 0.17/0.32  % Drodi V3.6.0
% 0.17/0.33  % Refutation found
% 0.17/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.34  % Elapsed time: 0.015547 seconds
% 0.17/0.34  % CPU time: 0.021824 seconds
% 0.17/0.34  % Total memory used: 2.035 MB
% 0.17/0.34  % Net memory used: 1.864 MB
%------------------------------------------------------------------------------