%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO039-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 : Wed May 31 12:07:32 EDT 2023

% Result   : Unsatisfiable 0.27s 0.61s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  13 unt;   0 def)
%            Number of atoms       :   17 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   6   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X,Y] :
      ( ~ between(X,Y,X)
      | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44,axiom,
    ! [U,V] : between(U,V,V),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f45,hypothesis,
    between(u,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f46,hypothesis,
    u = x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f47,negated_conjecture,
    ~ between(v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f100,plain,
    ! [X0,X1] : between(X0,X1,X1),
    inference(cnf_transformation,[status(esa)],[f44]) ).

fof(f101,plain,
    between(u,w,x),
    inference(cnf_transformation,[status(esa)],[f45]) ).

fof(f102,plain,
    u = x,
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f103,plain,
    ~ between(v,w,x),
    inference(cnf_transformation,[status(esa)],[f47]) ).

fof(f107,plain,
    between(u,w,u),
    inference(backward_demodulation,[status(thm)],[f102,f101]) ).

fof(f108,plain,
    ~ between(v,w,u),
    inference(backward_demodulation,[status(thm)],[f102,f103]) ).

fof(f109,plain,
    u = w,
    inference(resolution,[status(thm)],[f107,f57]) ).

fof(f111,plain,
    ~ between(v,u,u),
    inference(forward_demodulation,[status(thm)],[f109,f108]) ).

fof(f112,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f111,f100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO039-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 12:00:22 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.27/0.61  % Refutation found
% 0.27/0.61  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.61  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.61  % Elapsed time: 0.045758 seconds
% 0.27/0.61  % CPU time: 0.021596 seconds
% 0.27/0.61  % Memory used: 3.651 MB
%------------------------------------------------------------------------------