%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO173+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 12:08:02 EDT 2023

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   40 (   9 unt;   0 def)
%            Number of atoms       :  105 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  105 (  40   ~;  39   |;  17   &)
%                                         (   4 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   42 (;  34   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X,Y] :
      ( distinct_points(X,Y)
     => ~ apart_point_and_line(X,line_connecting(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,Y] :
      ( distinct_points(X,Y)
     => ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X,Y,U,V] :
      ( ( distinct_points(X,Y)
        & distinct_lines(U,V) )
     => ( apart_point_and_line(X,U)
        | apart_point_and_line(X,V)
        | apart_point_and_line(Y,U)
        | apart_point_and_line(Y,V) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,conjecture,
    ! [X,Y,U,V] :
      ( ( distinct_points(X,Y)
        & convergent_lines(U,V)
        & distinct_lines(U,line_connecting(X,Y)) )
     => ( apart_point_and_line(X,U)
        | apart_point_and_line(Y,U) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,negated_conjecture,
    ~ ! [X,Y,U,V] :
        ( ( distinct_points(X,Y)
          & convergent_lines(U,V)
          & distinct_lines(U,line_connecting(X,Y)) )
       => ( apart_point_and_line(X,U)
          | apart_point_and_line(Y,U) ) ),
    inference(negated_conjecture,[status(cth)],[f36]) ).

fof(f50,plain,
    ! [X,Y] :
      ( ~ distinct_points(X,Y)
      | ~ apart_point_and_line(X,line_connecting(X,Y)) ),
    inference(pre_NNF_transformation,[status(esa)],[f7]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ distinct_points(X0,X1)
      | ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f52,plain,
    ! [X,Y] :
      ( ~ distinct_points(X,Y)
      | ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ distinct_points(X0,X1)
      | ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f52]) ).

fof(f58,plain,
    ! [X,Y,U,V] :
      ( ~ distinct_points(X,Y)
      | ~ distinct_lines(U,V)
      | apart_point_and_line(X,U)
      | apart_point_and_line(X,V)
      | apart_point_and_line(Y,U)
      | apart_point_and_line(Y,V) ),
    inference(pre_NNF_transformation,[status(esa)],[f11]) ).

fof(f59,plain,
    ! [X0,X1,X2,X3] :
      ( ~ distinct_points(X0,X1)
      | ~ distinct_lines(X2,X3)
      | apart_point_and_line(X0,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X1,X3) ),
    inference(cnf_transformation,[status(esa)],[f58]) ).

fof(f127,plain,
    ? [X,Y,U,V] :
      ( distinct_points(X,Y)
      & convergent_lines(U,V)
      & distinct_lines(U,line_connecting(X,Y))
      & ~ apart_point_and_line(X,U)
      & ~ apart_point_and_line(Y,U) ),
    inference(pre_NNF_transformation,[status(esa)],[f37]) ).

fof(f128,plain,
    ? [X,Y,U] :
      ( distinct_points(X,Y)
      & ? [V] : convergent_lines(U,V)
      & distinct_lines(U,line_connecting(X,Y))
      & ~ apart_point_and_line(X,U)
      & ~ apart_point_and_line(Y,U) ),
    inference(miniscoping,[status(esa)],[f127]) ).

fof(f129,plain,
    ( distinct_points(sk0_0,sk0_1)
    & convergent_lines(sk0_2,sk0_3)
    & distinct_lines(sk0_2,line_connecting(sk0_0,sk0_1))
    & ~ apart_point_and_line(sk0_0,sk0_2)
    & ~ apart_point_and_line(sk0_1,sk0_2) ),
    inference(skolemization,[status(esa)],[f128]) ).

fof(f130,plain,
    distinct_points(sk0_0,sk0_1),
    inference(cnf_transformation,[status(esa)],[f129]) ).

fof(f132,plain,
    distinct_lines(sk0_2,line_connecting(sk0_0,sk0_1)),
    inference(cnf_transformation,[status(esa)],[f129]) ).

fof(f133,plain,
    ~ apart_point_and_line(sk0_0,sk0_2),
    inference(cnf_transformation,[status(esa)],[f129]) ).

fof(f134,plain,
    ~ apart_point_and_line(sk0_1,sk0_2),
    inference(cnf_transformation,[status(esa)],[f129]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ~ distinct_points(X0,X1)
      | apart_point_and_line(X0,sk0_2)
      | apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))
      | apart_point_and_line(X1,sk0_2)
      | apart_point_and_line(X1,line_connecting(sk0_0,sk0_1)) ),
    inference(resolution,[status(thm)],[f59,f132]) ).

fof(f191,plain,
    ( spl0_5
  <=> apart_point_and_line(sk0_1,sk0_2) ),
    introduced(split_symbol_definition) ).

fof(f192,plain,
    ( apart_point_and_line(sk0_1,sk0_2)
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f191]) ).

fof(f194,plain,
    ( spl0_6
  <=> apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f195,plain,
    ( apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f194]) ).

fof(f197,plain,
    ( spl0_7
  <=> apart_point_and_line(sk0_0,sk0_2) ),
    introduced(split_symbol_definition) ).

fof(f198,plain,
    ( apart_point_and_line(sk0_0,sk0_2)
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f197]) ).

fof(f200,plain,
    ( spl0_8
  <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f201,plain,
    ( apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))
    | ~ spl0_8 ),
    inference(component_clause,[status(thm)],[f200]) ).

fof(f220,plain,
    ( apart_point_and_line(sk0_0,sk0_2)
    | apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))
    | apart_point_and_line(sk0_1,sk0_2)
    | apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1)) ),
    inference(resolution,[status(thm)],[f150,f130]) ).

fof(f221,plain,
    ( spl0_7
    | spl0_8
    | spl0_5
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f220,f197,f200,f191,f194]) ).

fof(f243,plain,
    ( $false
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f198,f133]) ).

fof(f244,plain,
    ~ spl0_7,
    inference(contradiction_clause,[status(thm)],[f243]) ).

fof(f245,plain,
    ( ~ distinct_points(sk0_0,sk0_1)
    | ~ spl0_8 ),
    inference(resolution,[status(thm)],[f201,f51]) ).

fof(f246,plain,
    ( $false
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f245,f130]) ).

fof(f247,plain,
    ~ spl0_8,
    inference(contradiction_clause,[status(thm)],[f246]) ).

fof(f248,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f192,f134]) ).

fof(f249,plain,
    ~ spl0_5,
    inference(contradiction_clause,[status(thm)],[f248]) ).

fof(f250,plain,
    ( ~ distinct_points(sk0_0,sk0_1)
    | ~ spl0_6 ),
    inference(resolution,[status(thm)],[f195,f53]) ).

fof(f251,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f250,f130]) ).

fof(f252,plain,
    ~ spl0_6,
    inference(contradiction_clause,[status(thm)],[f251]) ).

fof(f253,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f221,f244,f247,f249,f252]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO173+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue May 30 12:15:47 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % Drodi V3.5.1
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.57  % Elapsed time: 0.018729 seconds
% 0.18/0.57  % CPU time: 0.064121 seconds
% 0.18/0.57  % Memory used: 3.001 MB
%------------------------------------------------------------------------------