%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO232+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 : n022.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 16:09:25 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   62 (  26   ~;  22   |;   6   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   20 (  18   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f152,plain,
    $false,
    inference(avatar_sat_refutation,[],[f147,f149,f151]) ).

fof(f151,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f150]) ).

fof(f150,plain,
    ( $false
    | ~ spl1_2 ),
    inference(resolution,[],[f146,f127]) ).

fof(f127,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1] : ~ unequally_directed_lines(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag5) ).

fof(f146,plain,
    ( unequally_directed_lines(sK0,sK0)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl1_2
  <=> unequally_directed_lines(sK0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f149,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f148]) ).

fof(f148,plain,
    ( $false
    | spl1_1 ),
    inference(resolution,[],[f142,f124]) ).

fof(f124,plain,
    line(sK0),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ( ~ unequally_directed_lines(sK0,reverse_line(sK0))
    & line(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f58,f96]) ).

fof(f96,plain,
    ( ? [X0] :
        ( ~ unequally_directed_lines(X0,reverse_line(X0))
        & line(X0) )
   => ( ~ unequally_directed_lines(sK0,reverse_line(sK0))
      & line(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ? [X0] :
      ( ~ unequally_directed_lines(X0,reverse_line(X0))
      & line(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0] :
        ( line(X0)
       => unequally_directed_lines(X0,reverse_line(X0)) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X1] :
        ( line(X1)
       => unequally_directed_lines(X1,reverse_line(X1)) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X1] :
      ( line(X1)
     => unequally_directed_lines(X1,reverse_line(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f142,plain,
    ( ~ line(sK0)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f140,plain,
    ( spl1_1
  <=> line(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f147,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f138,f144,f140]) ).

fof(f138,plain,
    ( unequally_directed_lines(sK0,sK0)
    | ~ line(sK0) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ( ~ line(sK0)
    | ~ line(sK0)
    | unequally_directed_lines(sK0,sK0) ),
    inference(resolution,[],[f125,f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X1,reverse_line(X0))
      | unequally_directed_lines(X1,X0)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ line(X1)
      | ~ line(X0)
      | unequally_directed_lines(X1,reverse_line(X0))
      | unequally_directed_lines(X1,X0) ),
    inference(rectify,[],[f73]) ).

fof(f73,plain,
    ! [X1,X0] :
      ( ~ line(X0)
      | ~ line(X1)
      | unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X1,X0] :
      ( unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X0,reverse_line(X1))
      | ~ line(X1)
      | ~ line(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X1,X0] :
      ( ( line(X1)
        & line(X0) )
     => ( unequally_directed_lines(X0,X1)
        | unequally_directed_lines(X0,reverse_line(X1)) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X1,X2] :
      ( ( line(X1)
        & line(X2) )
     => ( unequally_directed_lines(X1,reverse_line(X2))
        | unequally_directed_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag8) ).

fof(f125,plain,
    ~ unequally_directed_lines(sK0,reverse_line(sK0)),
    inference(cnf_transformation,[],[f97]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO232+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n022.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   : Mon Aug 29 21:33:26 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.53  % (11609)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.54  % (11609)First to succeed.
% 0.20/0.54  % (11613)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54  % (11613)Also succeeded, but the first one will report.
% 0.20/0.54  % (11609)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Theorem for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (11609)------------------------------
% 0.20/0.54  % (11609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (11609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (11609)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (11609)Memory used [KB]: 6012
% 0.20/0.54  % (11609)Time elapsed: 0.070 s
% 0.20/0.54  % (11609)Instructions burned: 2 (million)
% 0.20/0.54  % (11609)------------------------------
% 0.20/0.54  % (11609)------------------------------
% 0.20/0.54  % (11588)Success in time 0.194 s
%------------------------------------------------------------------------------