%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO258+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 20:17:47 EDT 2024

% Result   : Theorem 0.15s 0.32s
% Output   : CNFRefutation 0.15s
% 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(f10,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/sandbox/benchmark/theBenchmark.p') ).

fof(f37,conjecture,
    ! [L,A,B,C] :
      ( between_on_line(L,A,B,C)
     => between_on_line(L,C,B,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,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)],[f37]) ).

fof(f84,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)],[f10]) ).

fof(f85,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)],[f84]) ).

fof(f86,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)],[f85]) ).

fof(f87,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)],[f85]) ).

fof(f88,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)],[f85]) ).

fof(f89,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)],[f85]) ).

fof(f90,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)],[f85]) ).

fof(f91,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)],[f85]) ).

fof(f152,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)],[f38]) ).

fof(f153,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)],[f152]) ).

fof(f154,plain,
    between_on_line(sk0_0,sk0_1,sk0_2,sk0_3),
    inference(cnf_transformation,[status(esa)],[f153]) ).

fof(f155,plain,
    ~ between_on_line(sk0_0,sk0_3,sk0_2,sk0_1),
    inference(cnf_transformation,[status(esa)],[f153]) ).

fof(f159,plain,
    ( spl0_0
  <=> before_on_line(sk0_0,sk0_1,sk0_2) ),
    introduced(split_symbol_definition) ).

fof(f162,plain,
    ( spl0_1
  <=> before_on_line(sk0_0,sk0_3,sk0_2) ),
    introduced(split_symbol_definition) ).

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)],[f86,f154]) ).

fof(f166,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f165,f159,f162]) ).

fof(f167,plain,
    ( spl0_2
  <=> before_on_line(sk0_0,sk0_2,sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f170,plain,
    ( before_on_line(sk0_0,sk0_1,sk0_2)
    | before_on_line(sk0_0,sk0_2,sk0_1) ),
    inference(resolution,[status(thm)],[f87,f154]) ).

fof(f171,plain,
    ( spl0_0
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f170,f159,f167]) ).

fof(f172,plain,
    ( spl0_3
  <=> before_on_line(sk0_0,sk0_2,sk0_3) ),
    introduced(split_symbol_definition) ).

fof(f175,plain,
    ( before_on_line(sk0_0,sk0_2,sk0_3)
    | before_on_line(sk0_0,sk0_3,sk0_2) ),
    inference(resolution,[status(thm)],[f88,f154]) ).

fof(f176,plain,
    ( spl0_3
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f175,f172,f162]) ).

fof(f177,plain,
    ( before_on_line(sk0_0,sk0_2,sk0_3)
    | before_on_line(sk0_0,sk0_2,sk0_1) ),
    inference(resolution,[status(thm)],[f89,f154]) ).

fof(f178,plain,
    ( spl0_3
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f177,f172,f167]) ).

fof(f179,plain,
    ( ~ before_on_line(sk0_0,sk0_3,sk0_2)
    | ~ before_on_line(sk0_0,sk0_2,sk0_1) ),
    inference(resolution,[status(thm)],[f90,f155]) ).

fof(f180,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f179,f162,f167]) ).

fof(f181,plain,
    ( ~ before_on_line(sk0_0,sk0_1,sk0_2)
    | ~ before_on_line(sk0_0,sk0_2,sk0_3) ),
    inference(resolution,[status(thm)],[f91,f155]) ).

fof(f182,plain,
    ( ~ spl0_0
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f181,f159,f172]) ).

fof(f183,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f166,f171,f176,f178,f180,f182]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO258+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n012.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 01:30:26 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.15/0.31  % Drodi V3.6.0
% 0.15/0.32  % Refutation found
% 0.15/0.32  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.34  % Elapsed time: 0.018581 seconds
% 0.15/0.34  % CPU time: 0.041340 seconds
% 0.15/0.34  % Total memory used: 2.982 MB
% 0.15/0.34  % Net memory used: 2.948 MB
%------------------------------------------------------------------------------