TSTP Solution File: GEO247+3 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO247+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : Wed May 31 12:08:32 EDT 2023

% Result   : Theorem 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :   53 (  10   ~;   1   |;  40   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   34 (;  22   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,axiom,
    ! [A,L] :
      ~ ( left_apart_point(A,L)
        | left_apart_point(A,reverse_line(L)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,conjecture,
    ! [A,B,C,D,L,M] :
      ( ( left_apart_point(A,L)
        & left_apart_point(A,M)
        & right_apart_point(B,L)
        & right_apart_point(B,M)
        & left_apart_point(C,L)
        & right_apart_point(C,M)
        & right_apart_point(D,L)
        & left_apart_point(D,M) )
     => convergent_lines(L,M) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    ~ ! [A,B,C,D,L,M] :
        ( ( left_apart_point(A,L)
          & left_apart_point(A,M)
          & right_apart_point(B,L)
          & right_apart_point(B,M)
          & left_apart_point(C,L)
          & right_apart_point(C,M)
          & right_apart_point(D,L)
          & left_apart_point(D,M) )
       => convergent_lines(L,M) ),
    inference(negated_conjecture,[status(cth)],[f37]) ).

fof(f113,plain,
    ! [A,L] :
      ( ~ left_apart_point(A,L)
      & ~ left_apart_point(A,reverse_line(L)) ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f114,plain,
    ( ! [A,L] : ~ left_apart_point(A,L)
    & ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
    inference(miniscoping,[status(esa)],[f113]) ).

fof(f115,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f152,plain,
    ? [A,B,C,D,L,M] :
      ( left_apart_point(A,L)
      & left_apart_point(A,M)
      & right_apart_point(B,L)
      & right_apart_point(B,M)
      & left_apart_point(C,L)
      & right_apart_point(C,M)
      & right_apart_point(D,L)
      & left_apart_point(D,M)
      & ~ convergent_lines(L,M) ),
    inference(pre_NNF_transformation,[status(esa)],[f38]) ).

fof(f153,plain,
    ? [L,M] :
      ( ? [D] :
          ( ? [C] :
              ( ? [B] :
                  ( ? [A] :
                      ( left_apart_point(A,L)
                      & left_apart_point(A,M) )
                  & right_apart_point(B,L)
                  & right_apart_point(B,M) )
              & left_apart_point(C,L)
              & right_apart_point(C,M) )
          & right_apart_point(D,L)
          & left_apart_point(D,M) )
      & ~ convergent_lines(L,M) ),
    inference(miniscoping,[status(esa)],[f152]) ).

fof(f154,plain,
    ( left_apart_point(sk0_5,sk0_0)
    & left_apart_point(sk0_5,sk0_1)
    & right_apart_point(sk0_4,sk0_0)
    & right_apart_point(sk0_4,sk0_1)
    & left_apart_point(sk0_3,sk0_0)
    & right_apart_point(sk0_3,sk0_1)
    & right_apart_point(sk0_2,sk0_0)
    & left_apart_point(sk0_2,sk0_1)
    & ~ convergent_lines(sk0_0,sk0_1) ),
    inference(skolemization,[status(esa)],[f153]) ).

fof(f155,plain,
    left_apart_point(sk0_5,sk0_0),
    inference(cnf_transformation,[status(esa)],[f154]) ).

fof(f168,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f155,f115]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO247+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n031.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 12:22:22 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.57  % Elapsed time: 0.011694 seconds
% 0.24/0.57  % CPU time: 0.031390 seconds
% 0.24/0.57  % Memory used: 2.478 MB
%------------------------------------------------------------------------------