%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO054-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 20:16:57 EDT 2024

% Result   : Unsatisfiable 0.09s 0.31s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-4 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [U,V] : reflection(U,V) = extension(U,V,U,V),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    ~ between(u,v,reflection(u,v)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,plain,
    ! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f54,plain,
    ! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f68,plain,
    ~ between(u,v,reflection(u,v)),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f74,plain,
    ! [X0,X1] : between(X0,X1,reflection(X0,X1)),
    inference(paramodulation,[status(thm)],[f54,f37]) ).

fof(f75,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f68,f74]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GEO054-3 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n010.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Tue Apr 30 01:16:20 EDT 2024
% 0.09/0.29  % CPUTime  : 
% 0.09/0.30  % Drodi V3.6.0
% 0.09/0.31  % Refutation found
% 0.09/0.31  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.32  % Elapsed time: 0.016832 seconds
% 0.14/0.32  % CPU time: 0.023238 seconds
% 0.14/0.32  % Total memory used: 10.988 MB
% 0.14/0.32  % Net memory used: 10.921 MB
%------------------------------------------------------------------------------