%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO178+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n019.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 16:08:58 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   35 (   8 unt;   0 def)
%            Number of atoms       :   86 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   87 (  36   ~;  26   |;  16   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   50 (  38   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f125,plain,
    $false,
    inference(avatar_sat_refutation,[],[f104,f122,f124]) ).

fof(f124,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f123]) ).

fof(f123,plain,
    ( $false
    | spl3_1 ),
    inference(subsumption_resolution,[],[f112,f106]) ).

fof(f106,plain,
    ~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
    inference(unit_resulting_resolution,[],[f90,f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X1,line_connecting(X1,X0))
      | ~ distinct_points(X1,X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ distinct_points(X1,X0)
      | ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
    inference(rectify,[],[f56]) ).

fof(f56,plain,
    ! [X1,X0] :
      ( ~ distinct_points(X0,X1)
      | ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X0] :
      ( distinct_points(X0,X1)
     => ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).

fof(f90,plain,
    distinct_points(sK2,sK1),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( apart_point_and_line(sK0,line_connecting(sK2,sK1))
    & ( ~ distinct_points(sK0,sK1)
      | ~ distinct_points(sK0,sK2) )
    & distinct_points(sK2,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f75,f76]) ).

fof(f76,plain,
    ( ? [X0,X1,X2] :
        ( apart_point_and_line(X0,line_connecting(X2,X1))
        & ( ~ distinct_points(X0,X1)
          | ~ distinct_points(X0,X2) )
        & distinct_points(X2,X1) )
   => ( apart_point_and_line(sK0,line_connecting(sK2,sK1))
      & ( ~ distinct_points(sK0,sK1)
        | ~ distinct_points(sK0,sK2) )
      & distinct_points(sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f75,plain,
    ? [X0,X1,X2] :
      ( apart_point_and_line(X0,line_connecting(X2,X1))
      & ( ~ distinct_points(X0,X1)
        | ~ distinct_points(X0,X2) )
      & distinct_points(X2,X1) ),
    inference(rectify,[],[f65]) ).

fof(f65,plain,
    ? [X2,X1,X0] :
      ( apart_point_and_line(X2,line_connecting(X0,X1))
      & ( ~ distinct_points(X2,X1)
        | ~ distinct_points(X2,X0) )
      & distinct_points(X0,X1) ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ? [X2,X0,X1] :
      ( ( ~ distinct_points(X2,X1)
        | ~ distinct_points(X2,X0) )
      & apart_point_and_line(X2,line_connecting(X0,X1))
      & distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,negated_conjecture,
    ~ ! [X2,X0,X1] :
        ( ( apart_point_and_line(X2,line_connecting(X0,X1))
          & distinct_points(X0,X1) )
       => ( distinct_points(X2,X1)
          & distinct_points(X2,X0) ) ),
    inference(negated_conjecture,[],[f36]) ).

fof(f36,conjecture,
    ! [X2,X0,X1] :
      ( ( apart_point_and_line(X2,line_connecting(X0,X1))
        & distinct_points(X0,X1) )
     => ( distinct_points(X2,X1)
        & distinct_points(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f112,plain,
    ( apart_point_and_line(sK2,line_connecting(sK2,sK1))
    | spl3_1 ),
    inference(unit_resulting_resolution,[],[f99,f92,f87]) ).

fof(f87,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X2)
      | distinct_points(X1,X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X1,X0)
      | apart_point_and_line(X0,X2)
      | ~ apart_point_and_line(X1,X2) ),
    inference(rectify,[],[f53]) ).

fof(f53,plain,
    ! [X0,X2,X1] :
      ( distinct_points(X2,X0)
      | apart_point_and_line(X0,X1)
      | ~ apart_point_and_line(X2,X1) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
      | distinct_points(X2,X0)
      | ~ apart_point_and_line(X2,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X2,X1)
     => ( apart_point_and_line(X0,X1)
        | distinct_points(X2,X0) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X2,X1,X0] :
      ( apart_point_and_line(X0,X1)
     => ( distinct_points(X0,X2)
        | apart_point_and_line(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).

fof(f92,plain,
    apart_point_and_line(sK0,line_connecting(sK2,sK1)),
    inference(cnf_transformation,[],[f77]) ).

fof(f99,plain,
    ( ~ distinct_points(sK0,sK2)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f97,plain,
    ( spl3_1
  <=> distinct_points(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f122,plain,
    spl3_2,
    inference(avatar_split_clause,[],[f116,f101]) ).

fof(f101,plain,
    ( spl3_2
  <=> distinct_points(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f116,plain,
    distinct_points(sK0,sK1),
    inference(unit_resulting_resolution,[],[f107,f92,f87]) ).

fof(f107,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK2,sK1)),
    inference(unit_resulting_resolution,[],[f90,f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X1,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X1,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( distinct_points(X0,X1)
     => ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).

fof(f104,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f91,f101,f97]) ).

fof(f91,plain,
    ( ~ distinct_points(sK0,sK1)
    | ~ distinct_points(sK0,sK2) ),
    inference(cnf_transformation,[],[f77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO178+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 21:27:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (2117)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)
% 0.20/0.51  % (2102)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.51  % (2121)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)
% 0.20/0.52  % (2113)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (2108)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (2108)First to succeed.
% 0.20/0.52  % (2108)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (2108)------------------------------
% 0.20/0.52  % (2108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (2108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (2108)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (2108)Memory used [KB]: 6012
% 0.20/0.52  % (2108)Time elapsed: 0.112 s
% 0.20/0.52  % (2108)Instructions burned: 3 (million)
% 0.20/0.52  % (2108)------------------------------
% 0.20/0.52  % (2108)------------------------------
% 0.20/0.52  % (2089)Success in time 0.164 s
%------------------------------------------------------------------------------