%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO065-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 12:07:39 EDT 2023

% Result   : Unsatisfiable 0.08s 0.28s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   12 (;  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,axiom,
    ! [Y,Z,X] :
      ( ~ between(Y,Z,X)
      | colinear(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f51,axiom,
    ! [U,V,W] :
      ( ~ between(U,V,W)
      | between(W,V,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f88,hypothesis,
    between(u,w,v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f89,negated_conjecture,
    ~ colinear(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f113,plain,
    ! [X0,X1,X2] :
      ( ~ between(X0,X1,X2)
      | colinear(X2,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f150,plain,
    ! [X0,X1,X2] :
      ( ~ between(X0,X1,X2)
      | between(X2,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f51]) ).

fof(f212,plain,
    between(u,w,v),
    inference(cnf_transformation,[status(esa)],[f88]) ).

fof(f213,plain,
    ~ colinear(u,v,w),
    inference(cnf_transformation,[status(esa)],[f89]) ).

fof(f218,plain,
    ~ between(v,w,u),
    inference(resolution,[status(thm)],[f113,f213]) ).

fof(f246,plain,
    between(v,w,u),
    inference(resolution,[status(thm)],[f150,f212]) ).

fof(f247,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f246,f218]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem  : GEO065-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.02/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.26  % Computer : n023.cluster.edu
% 0.08/0.26  % Model    : x86_64 x86_64
% 0.08/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26  % Memory   : 8042.1875MB
% 0.08/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26  % CPULimit : 300
% 0.08/0.26  % WCLimit  : 300
% 0.08/0.26  % DateTime : Tue May 30 12:19:38 EDT 2023
% 0.08/0.26  % CPUTime  : 
% 0.08/0.27  % Drodi V3.5.1
% 0.08/0.28  % Refutation found
% 0.08/0.28  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.28  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.28  % Elapsed time: 0.016940 seconds
% 0.08/0.28  % CPU time: 0.029064 seconds
% 0.08/0.28  % Memory used: 20.561 MB
%------------------------------------------------------------------------------