%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO001-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 20:16:44 EDT 2024

% Result   : Unsatisfiable 0.17s 0.33s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   26 (   9 unt;   0 def)
%            Number of atoms       :   49 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   47 (  24   ~;  22   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-5 aty)
%            Number of variables   :   34 (  34   !;   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(f44,axiom,
    ! [U,V] : between(U,V,V),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f46,hypothesis,
    between(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f47,negated_conjecture,
    ~ between(c,b,a),
    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(f58,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(f59,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(f100,plain,
    ! [X0,X1] : between(X0,X1,X1),
    inference(cnf_transformation,[status(esa)],[f44]) ).

fof(f103,plain,
    between(a,b,c),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f104,plain,
    ~ between(c,b,a),
    inference(cnf_transformation,[status(esa)],[f47]) ).

fof(f199,plain,
    ( spl0_4
  <=> between(a,b,c) ),
    introduced(split_symbol_definition) ).

fof(f200,plain,
    ( between(a,b,c)
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f199]) ).

fof(f201,plain,
    ( ~ between(a,b,c)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f199]) ).

fof(f207,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f103,f201]) ).

fof(f208,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f207]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,c)
      | between(X1,inner_pasch(a,b,c,X1,X0),a)
      | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f200,f59]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,c)
      | between(b,inner_pasch(a,b,c,X1,X0),X0)
      | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f200,f58]) ).

fof(f215,plain,
    ! [X0] :
      ( between(c,inner_pasch(a,b,c,c,X0),a)
      | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f209,f100]) ).

fof(f238,plain,
    ! [X0] :
      ( between(b,inner_pasch(a,b,c,c,X0),X0)
      | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f210,f100]) ).

fof(f245,plain,
    ( b = inner_pasch(a,b,c,c,b)
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f238,f57]) ).

fof(f247,plain,
    ( between(c,b,a)
    | ~ spl0_4 ),
    inference(paramodulation,[status(thm)],[f245,f215]) ).

fof(f248,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f247,f104]) ).

fof(f249,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f248]) ).

fof(f250,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f208,f249]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GEO001-3 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n027.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue Apr 30 02:04:47 EDT 2024
% 0.10/0.31  % 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
% 0.17/0.35  % Elapsed time: 0.020738 seconds
% 0.17/0.35  % CPU time: 0.049913 seconds
% 0.17/0.35  % Total memory used: 15.093 MB
% 0.17/0.35  % Net memory used: 15.049 MB
%------------------------------------------------------------------------------