%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO220+2 : 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 : Wed May 31 12:08:23 EDT 2023

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   42 (  23   ~;   7   |;   9   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   25 (;  19   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [L,M,N] :
      ( ( ~ unorthogonal_lines(L,M)
        & ~ unorthogonal_lines(L,N) )
     => ~ convergent_lines(M,N) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,conjecture,
    ! [L,M,N] :
      ( ( ~ unorthogonal_lines(L,M)
        & ~ unorthogonal_lines(L,N) )
     => ~ convergent_lines(M,N) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    ~ ! [L,M,N] :
        ( ( ~ unorthogonal_lines(L,M)
          & ~ unorthogonal_lines(L,N) )
       => ~ convergent_lines(M,N) ),
    inference(negated_conjecture,[status(cth)],[f16]) ).

fof(f56,plain,
    ! [L,M,N] :
      ( unorthogonal_lines(L,M)
      | unorthogonal_lines(L,N)
      | ~ convergent_lines(M,N) ),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f57,plain,
    ! [M,N] :
      ( ! [L] :
          ( unorthogonal_lines(L,M)
          | unorthogonal_lines(L,N) )
      | ~ convergent_lines(M,N) ),
    inference(miniscoping,[status(esa)],[f56]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( unorthogonal_lines(X0,X1)
      | unorthogonal_lines(X0,X2)
      | ~ convergent_lines(X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f57]) ).

fof(f59,plain,
    ? [L,M,N] :
      ( ~ unorthogonal_lines(L,M)
      & ~ unorthogonal_lines(L,N)
      & convergent_lines(M,N) ),
    inference(pre_NNF_transformation,[status(esa)],[f17]) ).

fof(f60,plain,
    ? [M,N] :
      ( ? [L] :
          ( ~ unorthogonal_lines(L,M)
          & ~ unorthogonal_lines(L,N) )
      & convergent_lines(M,N) ),
    inference(miniscoping,[status(esa)],[f59]) ).

fof(f61,plain,
    ( ~ unorthogonal_lines(sk0_2,sk0_0)
    & ~ unorthogonal_lines(sk0_2,sk0_1)
    & convergent_lines(sk0_0,sk0_1) ),
    inference(skolemization,[status(esa)],[f60]) ).

fof(f62,plain,
    ~ unorthogonal_lines(sk0_2,sk0_0),
    inference(cnf_transformation,[status(esa)],[f61]) ).

fof(f63,plain,
    ~ unorthogonal_lines(sk0_2,sk0_1),
    inference(cnf_transformation,[status(esa)],[f61]) ).

fof(f64,plain,
    convergent_lines(sk0_0,sk0_1),
    inference(cnf_transformation,[status(esa)],[f61]) ).

fof(f69,plain,
    ! [X0] :
      ( unorthogonal_lines(sk0_2,X0)
      | ~ convergent_lines(X0,sk0_1) ),
    inference(resolution,[status(thm)],[f58,f63]) ).

fof(f72,plain,
    ~ convergent_lines(sk0_0,sk0_1),
    inference(resolution,[status(thm)],[f69,f62]) ).

fof(f73,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f72,f64]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GEO220+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n021.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 12:01:22 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
% 0.19/0.56  % Elapsed time: 0.012623 seconds
% 0.19/0.56  % CPU time: 0.014181 seconds
% 0.19/0.56  % Memory used: 519.453 KB
%------------------------------------------------------------------------------