TSTP Solution File: GEO171+2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO171+2 : TPTP v8.1.2. Released v3.3.0.
% 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 12:08:01 EDT 2023

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   6   ~;   2   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 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   :   12 (;  10   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [X,Y] :
      ( convergent_lines(X,Y)
     => distinct_lines(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,conjecture,
    ! [X,Y] :
      ( convergent_lines(X,Y)
     => distinct_lines(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    ~ ! [X,Y] :
        ( convergent_lines(X,Y)
       => distinct_lines(X,Y) ),
    inference(negated_conjecture,[status(cth)],[f13]) ).

fof(f43,plain,
    ! [X,Y] :
      ( ~ convergent_lines(X,Y)
      | distinct_lines(X,Y) ),
    inference(pre_NNF_transformation,[status(esa)],[f12]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | distinct_lines(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f43]) ).

fof(f45,plain,
    ? [X,Y] :
      ( convergent_lines(X,Y)
      & ~ distinct_lines(X,Y) ),
    inference(pre_NNF_transformation,[status(esa)],[f14]) ).

fof(f46,plain,
    ( convergent_lines(sk0_0,sk0_1)
    & ~ distinct_lines(sk0_0,sk0_1) ),
    inference(skolemization,[status(esa)],[f45]) ).

fof(f47,plain,
    convergent_lines(sk0_0,sk0_1),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f48,plain,
    ~ distinct_lines(sk0_0,sk0_1),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f49,plain,
    distinct_lines(sk0_0,sk0_1),
    inference(resolution,[status(thm)],[f44,f47]) ).

fof(f50,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f49,f48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO171+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13  % 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 12:14:19 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.58  % Elapsed time: 0.016667 seconds
% 0.20/0.58  % CPU time: 0.028099 seconds
% 0.20/0.58  % Memory used: 1.920 MB
%------------------------------------------------------------------------------