%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO174+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 : Sun May  5 05:10:12 EDT 2024

% Result   : Theorem 0.56s 0.73s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   32 (   7 unt;   0 def)
%            Number of atoms       :   76 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   72 (  28   ~;  24   |;  12   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   44 (  36   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f195,plain,
    $false,
    inference(avatar_sat_refutation,[],[f142,f185,f194]) ).

fof(f194,plain,
    ~ spl5_1,
    inference(avatar_contradiction_clause,[],[f193]) ).

fof(f193,plain,
    ( $false
    | ~ spl5_1 ),
    inference(subsumption_resolution,[],[f188,f146]) ).

fof(f146,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f93,f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X1,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,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/sandbox/tmp/tmp.8QZNT0NPxt/Vampire---4.8_24554',ci2) ).

fof(f93,plain,
    distinct_points(sK0,sK1),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ? [X0,X1,X2,X3] :
      ( ~ distinct_lines(X2,line_connecting(X0,X1))
      & ( apart_point_and_line(X1,X2)
        | apart_point_and_line(X0,X2) )
      & convergent_lines(X2,X3)
      & distinct_points(X0,X1) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ? [X0,X1,X2,X3] :
      ( ~ distinct_lines(X2,line_connecting(X0,X1))
      & ( apart_point_and_line(X1,X2)
        | apart_point_and_line(X0,X2) )
      & convergent_lines(X2,X3)
      & distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( ( apart_point_and_line(X1,X2)
            | apart_point_and_line(X0,X2) )
          & convergent_lines(X2,X3)
          & distinct_points(X0,X1) )
       => distinct_lines(X2,line_connecting(X0,X1)) ),
    inference(rectify,[],[f37]) ).

fof(f37,negated_conjecture,
    ~ ! [X0,X1,X3,X4] :
        ( ( ( apart_point_and_line(X1,X3)
            | apart_point_and_line(X0,X3) )
          & convergent_lines(X3,X4)
          & distinct_points(X0,X1) )
       => distinct_lines(X3,line_connecting(X0,X1)) ),
    inference(negated_conjecture,[],[f36]) ).

fof(f36,conjecture,
    ! [X0,X1,X3,X4] :
      ( ( ( apart_point_and_line(X1,X3)
          | apart_point_and_line(X0,X3) )
        & convergent_lines(X3,X4)
        & distinct_points(X0,X1) )
     => distinct_lines(X3,line_connecting(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.8QZNT0NPxt/Vampire---4.8_24554',con) ).

fof(f188,plain,
    ( apart_point_and_line(sK1,line_connecting(sK0,sK1))
    | ~ spl5_1 ),
    inference(unit_resulting_resolution,[],[f95,f137,f107]) ).

fof(f107,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
     => ( apart_point_and_line(X0,X2)
        | distinct_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8QZNT0NPxt/Vampire---4.8_24554',ceq2) ).

fof(f137,plain,
    ( apart_point_and_line(sK1,sK2)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl5_1
  <=> apart_point_and_line(sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f95,plain,
    ~ distinct_lines(sK2,line_connecting(sK0,sK1)),
    inference(cnf_transformation,[],[f53]) ).

fof(f185,plain,
    ~ spl5_2,
    inference(avatar_contradiction_clause,[],[f184]) ).

fof(f184,plain,
    ( $false
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f181,f145]) ).

fof(f145,plain,
    ~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f93,f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( distinct_points(X0,X1)
     => ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.8QZNT0NPxt/Vampire---4.8_24554',ci1) ).

fof(f181,plain,
    ( apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | ~ spl5_2 ),
    inference(unit_resulting_resolution,[],[f141,f95,f107]) ).

fof(f141,plain,
    ( apart_point_and_line(sK0,sK2)
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f139,plain,
    ( spl5_2
  <=> apart_point_and_line(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f142,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f92,f139,f135]) ).

fof(f92,plain,
    ( apart_point_and_line(sK0,sK2)
    | apart_point_and_line(sK1,sK2) ),
    inference(cnf_transformation,[],[f53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GEO174+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 22:03:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.8QZNT0NPxt/Vampire---4.8_24554
% 0.56/0.73  % (24779)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.73  % (24775)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.73  % (24773)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.73  % (24776)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.73  % (24778)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.73  % (24774)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.73  % (24780)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.73  % (24779)First to succeed.
% 0.56/0.73  % (24779)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24769"
% 0.56/0.73  % (24777)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.73  % (24779)Refutation found. Thanks to Tanya!
% 0.56/0.73  % SZS status Theorem for Vampire---4
% 0.56/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.73  % (24779)------------------------------
% 0.56/0.73  % (24779)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (24779)Termination reason: Refutation
% 0.56/0.73  
% 0.56/0.73  % (24779)Memory used [KB]: 1134
% 0.56/0.73  % (24779)Time elapsed: 0.003 s
% 0.56/0.73  % (24779)Instructions burned: 6 (million)
% 0.56/0.73  % (24769)Success in time 0.358 s
% 0.56/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------