%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO251+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 : Wed May 31 12:08:34 EDT 2023

% Result   : Theorem 0.19s 0.36s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   4 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   30 (  15   ~;   6   |;   6   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 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/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f38,negated_conjecture,
    ~ ! [A,B,L] :
        ( right_apart_point(B,parallel_through_point(L,A))
       => left_apart_point(A,parallel_through_point(L,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] :
      ( right_apart_point(B,parallel_through_point(L,A))
      & ~ left_apart_point(A,parallel_through_point(L,B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f38]) ).

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

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

fof(f160,plain,
    ! [X0,X1] : ~ right_apart_point(X0,X1),
    inference(backward_subsumption_resolution,[status(thm)],[f45,f115]) ).

fof(f161,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f154,f160]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO251+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 12:19:04 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.35  % Drodi V3.5.1
% 0.19/0.36  % Refutation found
% 0.19/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.37  % Elapsed time: 0.019853 seconds
% 0.19/0.37  % CPU time: 0.033174 seconds
% 0.19/0.37  % Memory used: 2.426 MB
%------------------------------------------------------------------------------