%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO216+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 20:17:35 EDT 2024

% Result   : Theorem 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   9 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (  13   ~;   2   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   11 (  10   !;   1   ?)

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

fof(f13,axiom,
    ! [L,M] :
      ~ ( ~ convergent_lines(L,M)
        & ~ unorthogonal_lines(L,M) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,conjecture,
    ! [L] :
      ~ ~ unorthogonal_lines(L,L),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    ~ ! [L] :
        ~ ~ unorthogonal_lines(L,L),
    inference(negated_conjecture,[status(cth)],[f16]) ).

fof(f20,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f48,plain,
    ! [L,M] :
      ( convergent_lines(L,M)
      | unorthogonal_lines(L,M) ),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
      | unorthogonal_lines(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f48]) ).

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

fof(f60,plain,
    ~ unorthogonal_lines(sk0_0,sk0_0),
    inference(skolemization,[status(esa)],[f59]) ).

fof(f61,plain,
    ~ unorthogonal_lines(sk0_0,sk0_0),
    inference(cnf_transformation,[status(esa)],[f60]) ).

fof(f65,plain,
    convergent_lines(sk0_0,sk0_0),
    inference(resolution,[status(thm)],[f49,f61]) ).

fof(f66,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f65,f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO216+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n031.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Apr 30 02:06:58 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.6.0
% 0.12/0.34  % Refutation found
% 0.12/0.34  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.35  % Elapsed time: 0.015874 seconds
% 0.12/0.35  % CPU time: 0.032690 seconds
% 0.12/0.35  % Total memory used: 2.054 MB
% 0.12/0.35  % Net memory used: 1.936 MB
%------------------------------------------------------------------------------