%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO240+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 20:17:42 EDT 2024

% Result   : Theorem 0.12s 0.29s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   4 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   34 (  15   ~;   6   |;  10   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   31 (  28   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X,Y] :
      ( right_apart_point(X,Y)
    <=> left_apart_point(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ! [A,L] :
      ~ ( left_apart_point(A,L)
        | left_apart_point(A,reverse_line(L)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,conjecture,
    ! [A,B,L] :
      ( ( incident_point_and_line(A,L)
        & right_apart_point(B,L) )
     => right_convergent_lines(L,line_connecting(A,B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    ~ ! [A,B,L] :
        ( ( incident_point_and_line(A,L)
          & right_apart_point(B,L) )
       => right_convergent_lines(L,line_connecting(A,B)) ),
    inference(negated_conjecture,[status(cth)],[f37]) ).

fof(f43,plain,
    ! [X,Y] :
      ( ( ~ right_apart_point(X,Y)
        | left_apart_point(X,reverse_line(Y)) )
      & ( right_apart_point(X,Y)
        | ~ left_apart_point(X,reverse_line(Y)) ) ),
    inference(NNF_transformation,[status(esa)],[f2]) ).

fof(f44,plain,
    ( ! [X,Y] :
        ( ~ right_apart_point(X,Y)
        | left_apart_point(X,reverse_line(Y)) )
    & ! [X,Y] :
        ( right_apart_point(X,Y)
        | ~ left_apart_point(X,reverse_line(Y)) ) ),
    inference(miniscoping,[status(esa)],[f43]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ~ right_apart_point(X0,X1)
      | left_apart_point(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[status(esa)],[f44]) ).

fof(f113,plain,
    ! [A,L] :
      ( ~ left_apart_point(A,L)
      & ~ left_apart_point(A,reverse_line(L)) ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f114,plain,
    ( ! [A,L] : ~ left_apart_point(A,L)
    & ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
    inference(miniscoping,[status(esa)],[f113]) ).

fof(f115,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f152,plain,
    ? [A,B,L] :
      ( incident_point_and_line(A,L)
      & right_apart_point(B,L)
      & ~ right_convergent_lines(L,line_connecting(A,B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f38]) ).

fof(f153,plain,
    ( incident_point_and_line(sk0_0,sk0_2)
    & right_apart_point(sk0_1,sk0_2)
    & ~ right_convergent_lines(sk0_2,line_connecting(sk0_0,sk0_1)) ),
    inference(skolemization,[status(esa)],[f152]) ).

fof(f155,plain,
    right_apart_point(sk0_1,sk0_2),
    inference(cnf_transformation,[status(esa)],[f153]) ).

fof(f161,plain,
    ! [X0,X1] : ~ right_apart_point(X0,X1),
    inference(backward_subsumption_resolution,[status(thm)],[f45,f115]) ).

fof(f162,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f155,f161]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : GEO240+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.27  % Computer : n015.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Tue Apr 30 02:01:02 EDT 2024
% 0.08/0.27  % CPUTime  : 
% 0.12/0.28  % Drodi V3.6.0
% 0.12/0.29  % Refutation found
% 0.12/0.29  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.29  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.29  % Elapsed time: 0.014968 seconds
% 0.12/0.29  % CPU time: 0.033175 seconds
% 0.12/0.29  % Total memory used: 2.801 MB
% 0.12/0.29  % Net memory used: 2.789 MB
%------------------------------------------------------------------------------