%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 12:08:35 EDT 2023

% Result   : Theorem 0.07s 0.27s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   32 (   3 unt;   0 def)
%            Number of atoms       :   86 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   84 (  30   ~;  35   |;  12   &)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   5 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   52 (;  48   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [L,A,B,C] :
      ( between_on_line(L,A,B,C)
    <=> ( ( before_on_line(L,A,B)
          & before_on_line(L,B,C) )
        | ( before_on_line(L,C,B)
          & before_on_line(L,B,A) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,conjecture,
    ! [L,A,B,C] :
      ( between_on_line(L,A,B,C)
     => between_on_line(L,C,B,A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ~ ! [L,A,B,C] :
        ( between_on_line(L,A,B,C)
       => between_on_line(L,C,B,A) ),
    inference(negated_conjecture,[status(cth)],[f32]) ).

fof(f62,plain,
    ! [L,A,B,C] :
      ( ( ~ between_on_line(L,A,B,C)
        | ( before_on_line(L,A,B)
          & before_on_line(L,B,C) )
        | ( before_on_line(L,C,B)
          & before_on_line(L,B,A) ) )
      & ( between_on_line(L,A,B,C)
        | ( ( ~ before_on_line(L,A,B)
            | ~ before_on_line(L,B,C) )
          & ( ~ before_on_line(L,C,B)
            | ~ before_on_line(L,B,A) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f5]) ).

fof(f63,plain,
    ( ! [L,A,B,C] :
        ( ~ between_on_line(L,A,B,C)
        | ( before_on_line(L,A,B)
          & before_on_line(L,B,C) )
        | ( before_on_line(L,C,B)
          & before_on_line(L,B,A) ) )
    & ! [L,A,B,C] :
        ( between_on_line(L,A,B,C)
        | ( ( ~ before_on_line(L,A,B)
            | ~ before_on_line(L,B,C) )
          & ( ~ before_on_line(L,C,B)
            | ~ before_on_line(L,B,A) ) ) ) ),
    inference(miniscoping,[status(esa)],[f62]) ).

fof(f64,plain,
    ! [X0,X1,X2,X3] :
      ( ~ between_on_line(X0,X1,X2,X3)
      | before_on_line(X0,X1,X2)
      | before_on_line(X0,X3,X2) ),
    inference(cnf_transformation,[status(esa)],[f63]) ).

fof(f65,plain,
    ! [X0,X1,X2,X3] :
      ( ~ between_on_line(X0,X1,X2,X3)
      | before_on_line(X0,X1,X2)
      | before_on_line(X0,X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f63]) ).

fof(f66,plain,
    ! [X0,X1,X2,X3] :
      ( ~ between_on_line(X0,X1,X2,X3)
      | before_on_line(X0,X2,X3)
      | before_on_line(X0,X3,X2) ),
    inference(cnf_transformation,[status(esa)],[f63]) ).

fof(f67,plain,
    ! [X0,X1,X2,X3] :
      ( ~ between_on_line(X0,X1,X2,X3)
      | before_on_line(X0,X2,X3)
      | before_on_line(X0,X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f63]) ).

fof(f68,plain,
    ! [X0,X1,X2,X3] :
      ( between_on_line(X0,X1,X2,X3)
      | ~ before_on_line(X0,X1,X2)
      | ~ before_on_line(X0,X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f63]) ).

fof(f69,plain,
    ! [X0,X1,X2,X3] :
      ( between_on_line(X0,X1,X2,X3)
      | ~ before_on_line(X0,X3,X2)
      | ~ before_on_line(X0,X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f63]) ).

fof(f130,plain,
    ? [L,A,B,C] :
      ( between_on_line(L,A,B,C)
      & ~ between_on_line(L,C,B,A) ),
    inference(pre_NNF_transformation,[status(esa)],[f33]) ).

fof(f131,plain,
    ( between_on_line(sk0_0,sk0_1,sk0_2,sk0_3)
    & ~ between_on_line(sk0_0,sk0_3,sk0_2,sk0_1) ),
    inference(skolemization,[status(esa)],[f130]) ).

fof(f132,plain,
    between_on_line(sk0_0,sk0_1,sk0_2,sk0_3),
    inference(cnf_transformation,[status(esa)],[f131]) ).

fof(f133,plain,
    ~ between_on_line(sk0_0,sk0_3,sk0_2,sk0_1),
    inference(cnf_transformation,[status(esa)],[f131]) ).

fof(f149,plain,
    ( spl0_0
  <=> before_on_line(sk0_0,sk0_3,sk0_2) ),
    introduced(split_symbol_definition) ).

fof(f152,plain,
    ( spl0_1
  <=> before_on_line(sk0_0,sk0_2,sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f155,plain,
    ( ~ before_on_line(sk0_0,sk0_3,sk0_2)
    | ~ before_on_line(sk0_0,sk0_2,sk0_1) ),
    inference(resolution,[status(thm)],[f68,f133]) ).

fof(f156,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f155,f149,f152]) ).

fof(f157,plain,
    ( spl0_2
  <=> before_on_line(sk0_0,sk0_1,sk0_2) ),
    introduced(split_symbol_definition) ).

fof(f160,plain,
    ( spl0_3
  <=> before_on_line(sk0_0,sk0_2,sk0_3) ),
    introduced(split_symbol_definition) ).

fof(f163,plain,
    ( ~ before_on_line(sk0_0,sk0_1,sk0_2)
    | ~ before_on_line(sk0_0,sk0_2,sk0_3) ),
    inference(resolution,[status(thm)],[f69,f133]) ).

fof(f164,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f163,f157,f160]) ).

fof(f165,plain,
    ( before_on_line(sk0_0,sk0_1,sk0_2)
    | before_on_line(sk0_0,sk0_3,sk0_2) ),
    inference(resolution,[status(thm)],[f64,f132]) ).

fof(f166,plain,
    ( spl0_2
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f165,f157,f149]) ).

fof(f167,plain,
    ( before_on_line(sk0_0,sk0_1,sk0_2)
    | before_on_line(sk0_0,sk0_2,sk0_1) ),
    inference(resolution,[status(thm)],[f65,f132]) ).

fof(f168,plain,
    ( spl0_2
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f167,f157,f152]) ).

fof(f169,plain,
    ( before_on_line(sk0_0,sk0_2,sk0_3)
    | before_on_line(sk0_0,sk0_3,sk0_2) ),
    inference(resolution,[status(thm)],[f66,f132]) ).

fof(f170,plain,
    ( spl0_3
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f169,f160,f149]) ).

fof(f171,plain,
    ( before_on_line(sk0_0,sk0_2,sk0_3)
    | before_on_line(sk0_0,sk0_2,sk0_1) ),
    inference(resolution,[status(thm)],[f67,f132]) ).

fof(f172,plain,
    ( spl0_3
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f171,f160,f152]) ).

fof(f173,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f156,f164,f166,f168,f170,f172]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n019.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue May 30 12:02:40 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.07/0.26  % Drodi V3.5.1
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.49  % Elapsed time: 0.014421 seconds
% 0.11/0.49  % CPU time: 0.019732 seconds
% 0.11/0.49  % Memory used: 689.052 KB
%------------------------------------------------------------------------------