%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO171+3 : TPTP v8.1.2. Released v4.0.0.
% 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 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   38 (  16   ~;  16   |;   2   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   36 (;  34   !;   2   ?)

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

fof(f6,axiom,
    ! [X,Y,Z] :
      ( convergent_lines(X,Y)
     => ( convergent_lines(X,Z)
        | convergent_lines(Y,Z) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f36,conjecture,
    ! [X,Y] :
      ( convergent_lines(X,Y)
     => distinct_lines(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,negated_conjecture,
    ~ ! [X,Y] :
        ( convergent_lines(X,Y)
       => distinct_lines(X,Y) ),
    inference(negated_conjecture,[status(cth)],[f36]) ).

fof(f40,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f47,plain,
    ! [X,Y,Z] :
      ( ~ convergent_lines(X,Y)
      | convergent_lines(X,Z)
      | convergent_lines(Y,Z) ),
    inference(pre_NNF_transformation,[status(esa)],[f6]) ).

fof(f48,plain,
    ! [X,Y] :
      ( ~ convergent_lines(X,Y)
      | ! [Z] :
          ( convergent_lines(X,Z)
          | convergent_lines(Y,Z) ) ),
    inference(miniscoping,[status(esa)],[f47]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ~ convergent_lines(X0,X1)
      | convergent_lines(X0,X2)
      | convergent_lines(X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f66,plain,
    ! [X,Y,Z] :
      ( ~ convergent_lines(X,Y)
      | distinct_lines(Y,Z)
      | convergent_lines(X,Z) ),
    inference(pre_NNF_transformation,[status(esa)],[f14]) ).

fof(f67,plain,
    ! [X,Y] :
      ( ~ convergent_lines(X,Y)
      | ! [Z] :
          ( distinct_lines(Y,Z)
          | convergent_lines(X,Z) ) ),
    inference(miniscoping,[status(esa)],[f66]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( ~ convergent_lines(X0,X1)
      | distinct_lines(X1,X2)
      | convergent_lines(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f127,plain,
    ? [X,Y] :
      ( convergent_lines(X,Y)
      & ~ distinct_lines(X,Y) ),
    inference(pre_NNF_transformation,[status(esa)],[f37]) ).

fof(f128,plain,
    ( convergent_lines(sk0_0,sk0_1)
    & ~ distinct_lines(sk0_0,sk0_1) ),
    inference(skolemization,[status(esa)],[f127]) ).

fof(f129,plain,
    convergent_lines(sk0_0,sk0_1),
    inference(cnf_transformation,[status(esa)],[f128]) ).

fof(f130,plain,
    ~ distinct_lines(sk0_0,sk0_1),
    inference(cnf_transformation,[status(esa)],[f128]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | convergent_lines(X1,X0) ),
    inference(resolution,[status(thm)],[f49,f40]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | distinct_lines(X1,X0) ),
    inference(resolution,[status(thm)],[f68,f40]) ).

fof(f142,plain,
    ~ convergent_lines(sk0_1,sk0_0),
    inference(resolution,[status(thm)],[f141,f130]) ).

fof(f147,plain,
    ~ convergent_lines(sk0_0,sk0_1),
    inference(resolution,[status(thm)],[f142,f138]) ).

fof(f148,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f147,f129]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : GEO171+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.25  % Computer : n010.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit : 300
% 0.07/0.25  % WCLimit  : 300
% 0.07/0.25  % DateTime : Tue May 30 11:54:07 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.07/0.26  % Drodi V3.5.1
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.27  % Elapsed time: 0.011948 seconds
% 0.07/0.27  % CPU time: 0.019963 seconds
% 0.07/0.27  % Memory used: 2.235 MB
%------------------------------------------------------------------------------