TSTP Solution File: GEO179+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO179+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : n018.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 05:10:14 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   32 (  13 unt;   0 def)
%            Number of atoms       :   71 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   64 (  25   ~;  21   |;  11   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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   :   41 (  35   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f132,plain,
    $false,
    inference(avatar_sat_refutation,[],[f56,f120,f131]) ).

fof(f131,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f130]) ).

fof(f130,plain,
    ( $false
    | spl3_1 ),
    inference(subsumption_resolution,[],[f127,f51]) ).

fof(f51,plain,
    ( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
    | spl3_1 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f49,plain,
    ( spl3_1
  <=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f127,plain,
    distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)),
    inference(unit_resulting_resolution,[],[f35,f82,f43]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,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.1MUe10hgpt/Vampire---4.8_17213',ceq2) ).

fof(f82,plain,
    ~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
    inference(unit_resulting_resolution,[],[f41,f68,f36]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1)
      | distinct_points(X2,X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( distinct_points(X2,X1)
        & distinct_points(X2,X0) )
      | ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(flattening,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( ( distinct_points(X2,X1)
        & distinct_points(X2,X0) )
      | ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X1)
     => ( apart_point_and_line(X2,line_connecting(X0,X1))
       => ( distinct_points(X2,X1)
          & distinct_points(X2,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.1MUe10hgpt/Vampire---4.8_17213',con1) ).

fof(f68,plain,
    distinct_points(sK2,sK1),
    inference(unit_resulting_resolution,[],[f34,f35,f37]) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1)
      | distinct_points(X2,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f34,plain,
    distinct_points(sK0,sK1),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ? [X0,X1,X2] :
      ( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
        | ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
      & apart_point_and_line(X2,line_connecting(X0,X1))
      & distinct_points(X0,X1) ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ? [X0,X1,X2] :
      ( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
        | ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
      & apart_point_and_line(X2,line_connecting(X0,X1))
      & distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( apart_point_and_line(X2,line_connecting(X0,X1))
          & distinct_points(X0,X1) )
       => ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
          & distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
    inference(negated_conjecture,[],[f13]) ).

fof(f13,conjecture,
    ! [X0,X1,X2] :
      ( ( apart_point_and_line(X2,line_connecting(X0,X1))
        & distinct_points(X0,X1) )
     => ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
        & distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.1MUe10hgpt/Vampire---4.8_17213',con) ).

fof(f41,plain,
    ! [X0] : ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : ~ distinct_points(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.1MUe10hgpt/Vampire---4.8_17213',apart1) ).

fof(f35,plain,
    apart_point_and_line(sK2,line_connecting(sK0,sK1)),
    inference(cnf_transformation,[],[f17]) ).

fof(f120,plain,
    spl3_2,
    inference(avatar_split_clause,[],[f117,f53]) ).

fof(f53,plain,
    ( spl3_2
  <=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f117,plain,
    distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)),
    inference(unit_resulting_resolution,[],[f35,f77,f43]) ).

fof(f77,plain,
    ~ apart_point_and_line(sK2,line_connecting(sK2,sK0)),
    inference(unit_resulting_resolution,[],[f41,f67,f36]) ).

fof(f67,plain,
    distinct_points(sK2,sK0),
    inference(unit_resulting_resolution,[],[f34,f35,f36]) ).

fof(f56,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f33,f53,f49]) ).

fof(f33,plain,
    ( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0))
    | ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)) ),
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GEO179+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14  % 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
% 0.15/0.35  % Computer : n018.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 21:58:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.1MUe10hgpt/Vampire---4.8_17213
% 0.56/0.75  % (17611)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)
% 0.56/0.75  % (17607)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (17605)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)
% 0.56/0.75  % (17608)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)
% 0.56/0.75  % (17609)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)
% 0.56/0.75  % (17606)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)
% 0.56/0.75  % (17610)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)
% 0.56/0.75  % (17612)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)
% 0.56/0.75  % (17611)First to succeed.
% 0.56/0.75  % (17611)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17456"
% 0.56/0.75  % (17610)Refutation not found, incomplete strategy% (17610)------------------------------
% 0.56/0.75  % (17610)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (17610)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (17610)Memory used [KB]: 980
% 0.56/0.75  % (17610)Time elapsed: 0.003 s
% 0.56/0.75  % (17610)Instructions burned: 2 (million)
% 0.56/0.75  % (17610)------------------------------
% 0.56/0.75  % (17610)------------------------------
% 0.56/0.75  % (17611)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (17611)------------------------------
% 0.56/0.75  % (17611)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (17611)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (17611)Memory used [KB]: 1057
% 0.56/0.75  % (17611)Time elapsed: 0.003 s
% 0.56/0.75  % (17611)Instructions burned: 6 (million)
% 0.56/0.75  % (17456)Success in time 0.389 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------