%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO176+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 20:17:18 EDT 2024

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   31 (   4 unt;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   74 (  28   ~;  25   |;  13   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   41 (  33   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X,Y] :
      ( convergent_lines(X,Y)
     => ~ apart_point_and_line(intersection_point(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X,Y] :
      ( convergent_lines(X,Y)
     => ~ apart_point_and_line(intersection_point(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X,Y,Z] :
      ( apart_point_and_line(X,Y)
     => ( distinct_points(X,Z)
        | apart_point_and_line(Z,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,conjecture,
    ! [X,Y,U,V] :
      ( ( distinct_points(X,Y)
        & convergent_lines(U,V)
        & ( apart_point_and_line(X,U)
          | apart_point_and_line(X,V) ) )
     => distinct_points(X,intersection_point(U,V)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ~ ! [X,Y,U,V] :
        ( ( distinct_points(X,Y)
          & convergent_lines(U,V)
          & ( apart_point_and_line(X,U)
            | apart_point_and_line(X,V) ) )
       => distinct_points(X,intersection_point(U,V)) ),
    inference(negated_conjecture,[status(cth)],[f15]) ).

fof(f33,plain,
    ! [X,Y] :
      ( ~ convergent_lines(X,Y)
      | ~ apart_point_and_line(intersection_point(X,Y),X) ),
    inference(pre_NNF_transformation,[status(esa)],[f9]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
    inference(cnf_transformation,[status(esa)],[f33]) ).

fof(f35,plain,
    ! [X,Y] :
      ( ~ convergent_lines(X,Y)
      | ~ apart_point_and_line(intersection_point(X,Y),Y) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
    inference(cnf_transformation,[status(esa)],[f35]) ).

fof(f39,plain,
    ! [X,Y,Z] :
      ( ~ apart_point_and_line(X,Y)
      | distinct_points(X,Z)
      | apart_point_and_line(Z,Y) ),
    inference(pre_NNF_transformation,[status(esa)],[f12]) ).

fof(f40,plain,
    ! [X,Y] :
      ( ~ apart_point_and_line(X,Y)
      | ! [Z] :
          ( distinct_points(X,Z)
          | apart_point_and_line(Z,Y) ) ),
    inference(miniscoping,[status(esa)],[f39]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ~ apart_point_and_line(X0,X1)
      | distinct_points(X0,X2)
      | apart_point_and_line(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f40]) ).

fof(f48,plain,
    ? [X,Y,U,V] :
      ( distinct_points(X,Y)
      & convergent_lines(U,V)
      & ( apart_point_and_line(X,U)
        | apart_point_and_line(X,V) )
      & ~ distinct_points(X,intersection_point(U,V)) ),
    inference(pre_NNF_transformation,[status(esa)],[f16]) ).

fof(f49,plain,
    ? [X,U,V] :
      ( ? [Y] : distinct_points(X,Y)
      & convergent_lines(U,V)
      & ( apart_point_and_line(X,U)
        | apart_point_and_line(X,V) )
      & ~ distinct_points(X,intersection_point(U,V)) ),
    inference(miniscoping,[status(esa)],[f48]) ).

fof(f50,plain,
    ( distinct_points(sk0_0,sk0_3)
    & convergent_lines(sk0_1,sk0_2)
    & ( apart_point_and_line(sk0_0,sk0_1)
      | apart_point_and_line(sk0_0,sk0_2) )
    & ~ distinct_points(sk0_0,intersection_point(sk0_1,sk0_2)) ),
    inference(skolemization,[status(esa)],[f49]) ).

fof(f52,plain,
    convergent_lines(sk0_1,sk0_2),
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f53,plain,
    ( apart_point_and_line(sk0_0,sk0_1)
    | apart_point_and_line(sk0_0,sk0_2) ),
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f54,plain,
    ~ distinct_points(sk0_0,intersection_point(sk0_1,sk0_2)),
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f55,plain,
    ( spl0_0
  <=> apart_point_and_line(sk0_0,sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f58,plain,
    ( spl0_1
  <=> apart_point_and_line(sk0_0,sk0_2) ),
    introduced(split_symbol_definition) ).

fof(f61,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f53,f55,f58]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ apart_point_and_line(sk0_0,X0)
      | apart_point_and_line(intersection_point(sk0_1,sk0_2),X0) ),
    inference(resolution,[status(thm)],[f41,f54]) ).

fof(f71,plain,
    ( spl0_2
  <=> convergent_lines(sk0_1,sk0_2) ),
    introduced(split_symbol_definition) ).

fof(f73,plain,
    ( ~ convergent_lines(sk0_1,sk0_2)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f71]) ).

fof(f74,plain,
    ( ~ apart_point_and_line(sk0_0,sk0_2)
    | ~ convergent_lines(sk0_1,sk0_2) ),
    inference(resolution,[status(thm)],[f68,f36]) ).

fof(f75,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f74,f58,f71]) ).

fof(f76,plain,
    ( ~ apart_point_and_line(sk0_0,sk0_1)
    | ~ convergent_lines(sk0_1,sk0_2) ),
    inference(resolution,[status(thm)],[f68,f34]) ).

fof(f77,plain,
    ( ~ spl0_0
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f76,f55,f71]) ).

fof(f78,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f73,f52]) ).

fof(f79,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f78]) ).

fof(f80,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f61,f75,f77,f79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO176+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Apr 30 01:40:40 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.020495 seconds
% 0.13/0.37  % CPU time: 0.057277 seconds
% 0.13/0.37  % Total memory used: 2.642 MB
% 0.13/0.37  % Net memory used: 2.609 MB
%------------------------------------------------------------------------------