%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO245+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n021.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 Aug 31 16:09:29 EDT 2022

% Result   : Theorem 0.18s 0.47s
% Output   : Refutation 0.18s
% 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 :   22 (   9   ~;   2   |;   5   &)
%                                         (   0 <=>;   6  =>;   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   :   23 (  17   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f122,plain,
    $false,
    inference(subsumption_resolution,[],[f113,f93]) ).

fof(f93,plain,
    ! [X0,X1] : ~ left_apart_point(X1,X0),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X1,X0] :
      ( ~ left_apart_point(X1,reverse_line(X0))
      & ~ left_apart_point(X1,X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X1,X0] :
      ~ ( left_apart_point(X1,reverse_line(X0))
        | left_apart_point(X1,X0) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X1,X0] :
      ~ ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag10) ).

fof(f113,plain,
    left_apart_point(sK0,line_connecting(sK1,sK2)),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ? [X0,X2,X1] :
      ( distinct_points(X2,X1)
      & left_apart_point(X0,line_connecting(X2,X1))
      & ~ left_apart_point(X1,reverse_line(line_connecting(X2,X0))) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ? [X2,X1,X0] :
      ( ~ left_apart_point(X1,reverse_line(line_connecting(X2,X0)))
      & left_apart_point(X0,line_connecting(X2,X1))
      & distinct_points(X2,X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X2,X1,X0] :
        ( distinct_points(X2,X1)
       => ( left_apart_point(X0,line_connecting(X2,X1))
         => left_apart_point(X1,reverse_line(line_connecting(X2,X0))) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X4,X3,X0] :
        ( distinct_points(X0,X3)
       => ( left_apart_point(X4,line_connecting(X0,X3))
         => left_apart_point(X3,reverse_line(line_connecting(X0,X4))) ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X4,X3,X0] :
      ( distinct_points(X0,X3)
     => ( left_apart_point(X4,line_connecting(X0,X3))
       => left_apart_point(X3,reverse_line(line_connecting(X0,X4))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : GEO245+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n021.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   : Mon Aug 29 21:29:55 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (4715)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.47  % (4715)First to succeed.
% 0.18/0.47  % (4715)Refutation found. Thanks to Tanya!
% 0.18/0.47  % SZS status Theorem for theBenchmark
% 0.18/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47  % (4715)------------------------------
% 0.18/0.47  % (4715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (4715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (4715)Termination reason: Refutation
% 0.18/0.47  
% 0.18/0.47  % (4715)Memory used [KB]: 6012
% 0.18/0.47  % (4715)Time elapsed: 0.003 s
% 0.18/0.47  % (4715)Instructions burned: 2 (million)
% 0.18/0.47  % (4715)------------------------------
% 0.18/0.47  % (4715)------------------------------
% 0.18/0.47  % (4701)Success in time 0.13 s
%------------------------------------------------------------------------------