TSTP Solution File: GEO176+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO176+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n009.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 0.59s 0.75s
% Output   : Refutation 0.59s
% 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  :    6 (   5 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(f213,plain,
    $false,
    inference(avatar_sat_refutation,[],[f142,f203,f212]) ).

fof(f212,plain,
    ~ spl5_1,
    inference(avatar_contradiction_clause,[],[f211]) ).

fof(f211,plain,
    ( $false
    | ~ spl5_1 ),
    inference(subsumption_resolution,[],[f207,f148]) ).

fof(f148,plain,
    ~ apart_point_and_line(intersection_point(sK2,sK3),sK3),
    inference(unit_resulting_resolution,[],[f94,f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.UL8ZbcfWJa/Vampire---4.8_694',ci4) ).

fof(f94,plain,
    convergent_lines(sK2,sK3),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ? [X0,X1,X2,X3] :
      ( ~ distinct_points(X0,intersection_point(X2,X3))
      & ( apart_point_and_line(X0,X3)
        | 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_points(X0,intersection_point(X2,X3))
      & ( apart_point_and_line(X0,X3)
        | 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(X0,X3)
            | apart_point_and_line(X0,X2) )
          & convergent_lines(X2,X3)
          & distinct_points(X0,X1) )
       => distinct_points(X0,intersection_point(X2,X3)) ),
    inference(rectify,[],[f37]) ).

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

fof(f36,conjecture,
    ! [X0,X1,X3,X4] :
      ( ( ( apart_point_and_line(X0,X4)
          | apart_point_and_line(X0,X3) )
        & convergent_lines(X3,X4)
        & distinct_points(X0,X1) )
     => distinct_points(X0,intersection_point(X3,X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.UL8ZbcfWJa/Vampire---4.8_694',con) ).

fof(f207,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK3)
    | ~ spl5_1 ),
    inference(unit_resulting_resolution,[],[f95,f137,f96]) ).

fof(f96,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | distinct_points(X0,X2)
      | apart_point_and_line(X2,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X2,X1)
      | distinct_points(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X2,X1)
      | distinct_points(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
     => ( apart_point_and_line(X2,X1)
        | distinct_points(X0,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.UL8ZbcfWJa/Vampire---4.8_694',ceq1) ).

fof(f137,plain,
    ( apart_point_and_line(sK0,sK3)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl5_1
  <=> apart_point_and_line(sK0,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f95,plain,
    ~ distinct_points(sK0,intersection_point(sK2,sK3)),
    inference(cnf_transformation,[],[f53]) ).

fof(f203,plain,
    ~ spl5_2,
    inference(avatar_contradiction_clause,[],[f202]) ).

fof(f202,plain,
    ( $false
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f199,f149]) ).

fof(f149,plain,
    ~ apart_point_and_line(intersection_point(sK2,sK3),sK2),
    inference(unit_resulting_resolution,[],[f94,f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.UL8ZbcfWJa/Vampire---4.8_694',ci3) ).

fof(f199,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK2)
    | ~ spl5_2 ),
    inference(unit_resulting_resolution,[],[f141,f95,f96]) ).

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(sK0,sK3) ),
    inference(cnf_transformation,[],[f53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GEO176+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 21:55:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.UL8ZbcfWJa/Vampire---4.8_694
% 0.59/0.75  % (880)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)
% 0.59/0.75  % (885)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)
% 0.59/0.75  % (879)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)
% 0.59/0.75  % (881)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (882)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)
% 0.59/0.75  % (884)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)
% 0.59/0.75  % (883)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)
% 0.59/0.75  % (885)First to succeed.
% 0.59/0.75  % (882)Also succeeded, but the first one will report.
% 0.59/0.75  % (885)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-829"
% 0.59/0.75  % (885)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (885)------------------------------
% 0.59/0.75  % (885)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (885)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (885)Memory used [KB]: 1135
% 0.59/0.75  % (885)Time elapsed: 0.004 s
% 0.59/0.75  % (885)Instructions burned: 7 (million)
% 0.59/0.75  % (829)Success in time 0.378 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------