TSTP Solution File: GEO244+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO244+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 12:08:31 EDT 2023

% Result   : Theorem 0.09s 0.33s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   23 (  10   ~;   1   |;   8   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    3 (   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   :   22 (;  16   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [A,L] :
      ~ ( left_apart_point(A,L)
        | left_apart_point(A,reverse_line(L)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,conjecture,
    ! [A,B,C] :
      ( distinct_points(A,B)
     => ( left_apart_point(C,reverse_line(line_connecting(A,B)))
       => left_apart_point(C,line_connecting(B,A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ~ ! [A,B,C] :
        ( distinct_points(A,B)
       => ( left_apart_point(C,reverse_line(line_connecting(A,B)))
         => left_apart_point(C,line_connecting(B,A)) ) ),
    inference(negated_conjecture,[status(cth)],[f32]) ).

fof(f92,plain,
    ! [A,L] :
      ( ~ left_apart_point(A,L)
      & ~ left_apart_point(A,reverse_line(L)) ),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f93,plain,
    ( ! [A,L] : ~ left_apart_point(A,L)
    & ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
    inference(miniscoping,[status(esa)],[f92]) ).

fof(f94,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[status(esa)],[f93]) ).

fof(f130,plain,
    ? [A,B,C] :
      ( distinct_points(A,B)
      & left_apart_point(C,reverse_line(line_connecting(A,B)))
      & ~ left_apart_point(C,line_connecting(B,A)) ),
    inference(pre_NNF_transformation,[status(esa)],[f33]) ).

fof(f131,plain,
    ? [A,B] :
      ( distinct_points(A,B)
      & ? [C] :
          ( left_apart_point(C,reverse_line(line_connecting(A,B)))
          & ~ left_apart_point(C,line_connecting(B,A)) ) ),
    inference(miniscoping,[status(esa)],[f130]) ).

fof(f132,plain,
    ( distinct_points(sk0_0,sk0_1)
    & left_apart_point(sk0_2,reverse_line(line_connecting(sk0_0,sk0_1)))
    & ~ left_apart_point(sk0_2,line_connecting(sk0_1,sk0_0)) ),
    inference(skolemization,[status(esa)],[f131]) ).

fof(f134,plain,
    left_apart_point(sk0_2,reverse_line(line_connecting(sk0_0,sk0_1))),
    inference(cnf_transformation,[status(esa)],[f132]) ).

fof(f140,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f134,f94]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO244+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.00/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n015.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue May 30 12:16:04 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.09/0.32  % Drodi V3.5.1
% 0.09/0.33  % Refutation found
% 0.09/0.33  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.54  % Elapsed time: 0.012097 seconds
% 0.15/0.54  % CPU time: 0.011922 seconds
% 0.15/0.54  % Memory used: 617.260 KB
%------------------------------------------------------------------------------