%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO040-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 16.54s 2.51s
% Output   : CNFRefutation 16.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  12 unt;   0 def)
%            Number of atoms       :   32 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  14   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-5 aty)
%            Number of variables   :   28 (;  28   !;   0   ?)

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

fof(f8,axiom,
    ! [U,V,W,Y,X] :
      ( ~ between(U,V,W)
      | ~ between(Y,X,W)
      | between(V,inner_pasch(U,V,W,X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [U,V,W,Y,X] :
      ( ~ between(U,V,W)
      | ~ between(Y,X,W)
      | between(X,inner_pasch(U,V,W,X,Y),U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,hypothesis,
    between(v,u,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    u != v,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f32,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ between(X0,X1,X2)
      | ~ between(X3,X4,X2)
      | between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f33,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ between(X0,X1,X2)
      | ~ between(X3,X4,X2)
      | between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f44,plain,
    between(u,v,w),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f45,plain,
    between(v,u,w),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f46,plain,
    u != v,
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,w)
      | between(u,inner_pasch(v,u,w,X1,X0),X0) ),
    inference(resolution,[status(thm)],[f32,f45]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,w)
      | between(X1,inner_pasch(v,u,w,X1,X0),v) ),
    inference(resolution,[status(thm)],[f33,f45]) ).

fof(f812,plain,
    between(u,inner_pasch(v,u,w,v,u),u),
    inference(resolution,[status(thm)],[f58,f44]) ).

fof(f876,plain,
    between(v,inner_pasch(v,u,w,v,u),v),
    inference(resolution,[status(thm)],[f128,f44]) ).

fof(f2563,plain,
    u = inner_pasch(v,u,w,v,u),
    inference(resolution,[status(thm)],[f812,f31]) ).

fof(f3490,plain,
    between(v,u,v),
    inference(paramodulation,[status(thm)],[f2563,f876]) ).

fof(f3680,plain,
    v = u,
    inference(resolution,[status(thm)],[f3490,f31]) ).

fof(f3681,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f3680,f46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO040-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 12:28:30 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 16.54/2.51  % Refutation found
% 16.54/2.51  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.54/2.51  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.54/2.51  % Elapsed time: 2.166377 seconds
% 16.54/2.51  % CPU time: 16.590037 seconds
% 16.54/2.51  % Memory used: 96.396 MB
%------------------------------------------------------------------------------