%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO172+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 12:08:01 EDT 2023

% Result   : Theorem 0.09s 0.31s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   47 (  11 unt;   0 def)
%            Number of atoms       :  118 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  123 (  52   ~;  50   |;  11   &)
%                                         (   4 <=>;   6  =>;   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    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   55 (;  52   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X] : ~ convergent_lines(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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(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/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X,Y,Z] :
      ( convergent_lines(X,Y)
     => ( distinct_lines(Y,Z)
        | convergent_lines(X,Z) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

fof(f19,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f45,plain,
    ! [X,Y,Z] :
      ( ~ convergent_lines(X,Y)
      | distinct_lines(Y,Z)
      | convergent_lines(X,Z) ),
    inference(pre_NNF_transformation,[status(esa)],[f14]) ).

fof(f46,plain,
    ! [X,Y] :
      ( ~ convergent_lines(X,Y)
      | ! [Z] :
          ( distinct_lines(Y,Z)
          | convergent_lines(X,Z) ) ),
    inference(miniscoping,[status(esa)],[f45]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ~ convergent_lines(X0,X1)
      | distinct_lines(X1,X2)
      | convergent_lines(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f46]) ).

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

fof(f49,plain,
    ( convergent_lines(sk0_0,sk0_1)
    & ~ apart_point_and_line(sk0_2,sk0_0)
    & ~ apart_point_and_line(sk0_2,sk0_1)
    & distinct_points(sk0_2,intersection_point(sk0_0,sk0_1)) ),
    inference(skolemization,[status(esa)],[f48]) ).

fof(f50,plain,
    convergent_lines(sk0_0,sk0_1),
    inference(cnf_transformation,[status(esa)],[f49]) ).

fof(f51,plain,
    ~ apart_point_and_line(sk0_2,sk0_0),
    inference(cnf_transformation,[status(esa)],[f49]) ).

fof(f52,plain,
    ~ apart_point_and_line(sk0_2,sk0_1),
    inference(cnf_transformation,[status(esa)],[f49]) ).

fof(f53,plain,
    distinct_points(sk0_2,intersection_point(sk0_0,sk0_1)),
    inference(cnf_transformation,[status(esa)],[f49]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | distinct_lines(X1,X0) ),
    inference(resolution,[status(thm)],[f47,f19]) ).

fof(f63,plain,
    ! [X0,X1,X2,X3] :
      ( ~ convergent_lines(X0,X1)
      | ~ distinct_points(X2,X3)
      | apart_point_and_line(X2,X1)
      | apart_point_and_line(X2,X0)
      | apart_point_and_line(X3,X1)
      | apart_point_and_line(X3,X0) ),
    inference(resolution,[status(thm)],[f62,f38]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | apart_point_and_line(sk0_2,X1)
      | apart_point_and_line(sk0_2,X0)
      | apart_point_and_line(intersection_point(sk0_0,sk0_1),X1)
      | apart_point_and_line(intersection_point(sk0_0,sk0_1),X0) ),
    inference(resolution,[status(thm)],[f63,f53]) ).

fof(f196,plain,
    ( spl0_0
  <=> apart_point_and_line(sk0_2,sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f197,plain,
    ( apart_point_and_line(sk0_2,sk0_1)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f196]) ).

fof(f199,plain,
    ( spl0_1
  <=> apart_point_and_line(sk0_2,sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f200,plain,
    ( apart_point_and_line(sk0_2,sk0_0)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f199]) ).

fof(f202,plain,
    ( spl0_2
  <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f203,plain,
    ( apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f202]) ).

fof(f205,plain,
    ( spl0_3
  <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f206,plain,
    ( apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f205]) ).

fof(f208,plain,
    ( apart_point_and_line(sk0_2,sk0_1)
    | apart_point_and_line(sk0_2,sk0_0)
    | apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)
    | apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0) ),
    inference(resolution,[status(thm)],[f187,f50]) ).

fof(f209,plain,
    ( spl0_0
    | spl0_1
    | spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f208,f196,f199,f202,f205]) ).

fof(f226,plain,
    ( ~ convergent_lines(sk0_0,sk0_1)
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f206,f34]) ).

fof(f227,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f226,f50]) ).

fof(f228,plain,
    ~ spl0_3,
    inference(contradiction_clause,[status(thm)],[f227]) ).

fof(f229,plain,
    ( ~ convergent_lines(sk0_0,sk0_1)
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f203,f36]) ).

fof(f230,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f229,f50]) ).

fof(f231,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f230]) ).

fof(f232,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f197,f52]) ).

fof(f233,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f232]) ).

fof(f234,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f200,f51]) ).

fof(f235,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f234]) ).

fof(f236,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f209,f228,f231,f233,f235]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : GEO172+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n010.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Tue May 30 11:50:22 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.30  % Drodi V3.5.1
% 0.09/0.31  % Refutation found
% 0.09/0.31  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.56  % Elapsed time: 0.050043 seconds
% 0.14/0.56  % CPU time: 0.025486 seconds
% 0.14/0.56  % Memory used: 609.653 KB
%------------------------------------------------------------------------------