TSTP Solution File: GEO192+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO192+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 : n004.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 05:10:20 EDT 2024

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   39 (   9 unt;   0 def)
%            Number of atoms       :   85 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   79 (  33   ~;  30   |;   6   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   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   :   50 (  44   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f251,plain,
    $false,
    inference(avatar_sat_refutation,[],[f140,f226,f250]) ).

fof(f250,plain,
    spl4_1,
    inference(avatar_contradiction_clause,[],[f249]) ).

fof(f249,plain,
    ( $false
    | spl4_1 ),
    inference(subsumption_resolution,[],[f246,f141]) ).

fof(f141,plain,
    ~ apart_point_and_line(intersection_point(sK0,sK1),sK1),
    inference(unit_resulting_resolution,[],[f92,f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,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/sandbox/tmp/tmp.LUehWlzcX1/Vampire---4.8_9272',ci4) ).

fof(f92,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ? [X0,X1,X2] :
      ( ( ~ distinct_lines(X1,X2)
        | ~ distinct_lines(X0,X2) )
      & apart_point_and_line(intersection_point(X0,X1),X2)
      & convergent_lines(X0,X1) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ? [X0,X1,X2] :
      ( ( ~ distinct_lines(X1,X2)
        | ~ distinct_lines(X0,X2) )
      & apart_point_and_line(intersection_point(X0,X1),X2)
      & convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f37]) ).

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

fof(f36,conjecture,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( apart_point_and_line(intersection_point(X0,X1),X2)
       => ( distinct_lines(X1,X2)
          & distinct_lines(X0,X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.LUehWlzcX1/Vampire---4.8_9272',con) ).

fof(f246,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK1)
    | spl4_1 ),
    inference(unit_resulting_resolution,[],[f93,f227,f101]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f64]) ).

fof(f64,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.LUehWlzcX1/Vampire---4.8_9272',ceq2) ).

fof(f227,plain,
    ( ~ distinct_lines(sK2,sK1)
    | spl4_1 ),
    inference(unit_resulting_resolution,[],[f104,f135,f103]) ).

fof(f103,plain,
    ! [X2,X0,X1] :
      ( ~ distinct_lines(X0,X1)
      | distinct_lines(X0,X2)
      | distinct_lines(X1,X2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( distinct_lines(X1,X2)
      | distinct_lines(X0,X2)
      | ~ distinct_lines(X0,X1) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( distinct_lines(X1,X2)
      | distinct_lines(X0,X2)
      | ~ distinct_lines(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( distinct_lines(X0,X1)
     => ( distinct_lines(X1,X2)
        | distinct_lines(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.LUehWlzcX1/Vampire---4.8_9272',apart5) ).

fof(f135,plain,
    ( ~ distinct_lines(sK1,sK2)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f133,plain,
    ( spl4_1
  <=> distinct_lines(sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f104,plain,
    ! [X0] : ~ distinct_lines(X0,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] : ~ distinct_lines(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.LUehWlzcX1/Vampire---4.8_9272',apart2) ).

fof(f93,plain,
    apart_point_and_line(intersection_point(sK0,sK1),sK2),
    inference(cnf_transformation,[],[f52]) ).

fof(f226,plain,
    spl4_2,
    inference(avatar_contradiction_clause,[],[f225]) ).

fof(f225,plain,
    ( $false
    | spl4_2 ),
    inference(subsumption_resolution,[],[f221,f142]) ).

fof(f142,plain,
    ~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
    inference(unit_resulting_resolution,[],[f92,f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,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/sandbox/tmp/tmp.LUehWlzcX1/Vampire---4.8_9272',ci3) ).

fof(f221,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK0)
    | spl4_2 ),
    inference(unit_resulting_resolution,[],[f93,f174,f101]) ).

fof(f174,plain,
    ( ~ distinct_lines(sK2,sK0)
    | spl4_2 ),
    inference(unit_resulting_resolution,[],[f104,f139,f103]) ).

fof(f139,plain,
    ( ~ distinct_lines(sK0,sK2)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f137,plain,
    ( spl4_2
  <=> distinct_lines(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f140,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f91,f137,f133]) ).

fof(f91,plain,
    ( ~ distinct_lines(sK0,sK2)
    | ~ distinct_lines(sK1,sK2) ),
    inference(cnf_transformation,[],[f52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GEO192+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % 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
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 22:07:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.35  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.LUehWlzcX1/Vampire---4.8_9272
% 0.57/0.74  % (9388)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)
% 0.57/0.74  % (9382)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)
% 0.57/0.74  % (9384)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (9385)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)
% 0.57/0.74  % (9386)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)
% 0.57/0.74  % (9383)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)
% 0.57/0.74  % (9387)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)
% 0.57/0.74  % (9389)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)
% 0.57/0.75  % (9387)Refutation not found, incomplete strategy% (9387)------------------------------
% 0.57/0.75  % (9387)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (9387)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (9387)Memory used [KB]: 1098
% 0.57/0.75  % (9387)Time elapsed: 0.003 s
% 0.57/0.75  % (9387)Instructions burned: 2 (million)
% 0.57/0.75  % (9388)First to succeed.
% 0.57/0.75  % (9387)------------------------------
% 0.57/0.75  % (9387)------------------------------
% 0.57/0.75  % (9388)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9381"
% 0.57/0.75  % (9385)Also succeeded, but the first one will report.
% 0.57/0.75  % (9388)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Theorem for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (9388)------------------------------
% 0.57/0.75  % (9388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (9388)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (9388)Memory used [KB]: 1154
% 0.57/0.75  % (9388)Time elapsed: 0.004 s
% 0.57/0.75  % (9388)Instructions burned: 8 (million)
% 0.57/0.75  % (9381)Success in time 0.388 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------