TSTP Solution File: GEO191+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO191+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 : n028.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 May  1 02:22:50 EDT 2024

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   54 (  16 unt;   0 def)
%            Number of atoms       :  144 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  138 (  48   ~;  62   |;  16   &)
%                                         (   2 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   90 (  82   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f393,plain,
    $false,
    inference(avatar_sat_refutation,[],[f143,f381,f392]) ).

fof(f392,plain,
    ~ spl5_1,
    inference(avatar_contradiction_clause,[],[f391]) ).

fof(f391,plain,
    ( $false
    | ~ spl5_1 ),
    inference(subsumption_resolution,[],[f382,f260]) ).

fof(f260,plain,
    ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,sK3)),
    inference(unit_resulting_resolution,[],[f96,f95,f170,f144,f145,f110]) ).

fof(f110,plain,
    ! [X2,X3,X0,X1] :
      ( ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1)
      | apart_point_and_line(X0,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X1,X3) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2,X3] :
      ( ( distinct_lines(X2,X3)
        & distinct_points(X0,X1) )
     => ( apart_point_and_line(X1,X3)
        | apart_point_and_line(X1,X2)
        | apart_point_and_line(X0,X3)
        | apart_point_and_line(X0,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1,X3,X4] :
      ( ( distinct_lines(X3,X4)
        & distinct_points(X0,X1) )
     => ( apart_point_and_line(X1,X4)
        | apart_point_and_line(X1,X3)
        | apart_point_and_line(X0,X4)
        | apart_point_and_line(X0,X3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.BPxSmRQqgk/Vampire---4.8_23456',cu1) ).

fof(f145,plain,
    ~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
    inference(unit_resulting_resolution,[],[f93,f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,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.BPxSmRQqgk/Vampire---4.8_23456',ci3) ).

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

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

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

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

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

fof(f36,conjecture,
    ! [X0,X1,X3,X4] :
      ( ( ( apart_point_and_line(intersection_point(X0,X1),X4)
          | apart_point_and_line(intersection_point(X0,X1),X3) )
        & convergent_lines(X3,X4)
        & convergent_lines(X0,X1) )
     => ( apart_point_and_line(intersection_point(X3,X4),X1)
        | apart_point_and_line(intersection_point(X3,X4),X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.BPxSmRQqgk/Vampire---4.8_23456',con) ).

fof(f144,plain,
    ~ apart_point_and_line(intersection_point(sK0,sK1),sK1),
    inference(unit_resulting_resolution,[],[f93,f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,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.BPxSmRQqgk/Vampire---4.8_23456',ci4) ).

fof(f170,plain,
    distinct_lines(sK0,sK1),
    inference(unit_resulting_resolution,[],[f101,f147,f109]) ).

fof(f109,plain,
    ! [X2,X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | distinct_lines(X1,X2)
      | convergent_lines(X0,X2) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X2)
      | distinct_lines(X1,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X2)
      | distinct_lines(X1,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( convergent_lines(X0,X2)
        | distinct_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.BPxSmRQqgk/Vampire---4.8_23456',ceq3) ).

fof(f147,plain,
    convergent_lines(sK1,sK0),
    inference(unit_resulting_resolution,[],[f101,f93,f100]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | convergent_lines(X0,X2)
      | convergent_lines(X1,X2) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( convergent_lines(X1,X2)
        | convergent_lines(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.BPxSmRQqgk/Vampire---4.8_23456',ax6) ).

fof(f101,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.BPxSmRQqgk/Vampire---4.8_23456',apart3) ).

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

fof(f96,plain,
    ~ apart_point_and_line(intersection_point(sK2,sK3),sK1),
    inference(cnf_transformation,[],[f53]) ).

fof(f382,plain,
    ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,sK3))
    | ~ spl5_1 ),
    inference(unit_resulting_resolution,[],[f155,f138,f119]) ).

fof(f119,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | distinct_points(X0,X2)
      | apart_point_and_line(X2,X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X2,X1)
      | distinct_points(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f81]) ).

fof(f81,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/sandbox/tmp/tmp.BPxSmRQqgk/Vampire---4.8_23456',ceq1) ).

fof(f138,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK3)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl5_1
  <=> apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f155,plain,
    ~ apart_point_and_line(intersection_point(sK2,sK3),sK3),
    inference(unit_resulting_resolution,[],[f94,f98]) ).

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

fof(f381,plain,
    ~ spl5_2,
    inference(avatar_contradiction_clause,[],[f380]) ).

fof(f380,plain,
    ( $false
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f372,f260]) ).

fof(f372,plain,
    ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,sK3))
    | ~ spl5_2 ),
    inference(unit_resulting_resolution,[],[f142,f156,f119]) ).

fof(f156,plain,
    ~ apart_point_and_line(intersection_point(sK2,sK3),sK2),
    inference(unit_resulting_resolution,[],[f94,f99]) ).

fof(f142,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK2)
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f140,plain,
    ( spl5_2
  <=> apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f143,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f92,f140,f136]) ).

fof(f92,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK2)
    | apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
    inference(cnf_transformation,[],[f53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % 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 : n028.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   : Tue Apr 30 19:17:30 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36  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.BPxSmRQqgk/Vampire---4.8_23456
% 0.57/0.74  % (23694)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  % (23688)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  % (23690)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  % (23691)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  % (23689)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  % (23693)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  % (23695)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)
% 0.57/0.74  % (23693)Refutation not found, incomplete strategy% (23693)------------------------------
% 0.57/0.74  % (23693)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (23693)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (23693)Memory used [KB]: 1095
% 0.57/0.74  % (23693)Time elapsed: 0.003 s
% 0.57/0.74  % (23693)Instructions burned: 2 (million)
% 0.57/0.74  % (23693)------------------------------
% 0.57/0.74  % (23693)------------------------------
% 0.57/0.74  % (23695)Refutation not found, incomplete strategy% (23695)------------------------------
% 0.57/0.74  % (23695)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (23695)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (23695)Memory used [KB]: 1095
% 0.57/0.74  % (23695)Time elapsed: 0.002 s
% 0.57/0.74  % (23695)Instructions burned: 2 (million)
% 0.57/0.74  % (23695)------------------------------
% 0.57/0.74  % (23695)------------------------------
% 0.57/0.74  % (23691)Refutation not found, incomplete strategy% (23691)------------------------------
% 0.57/0.74  % (23691)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (23691)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (23691)Memory used [KB]: 1100
% 0.57/0.74  % (23691)Time elapsed: 0.003 s
% 0.57/0.74  % (23691)Instructions burned: 3 (million)
% 0.57/0.74  % (23691)------------------------------
% 0.57/0.74  % (23691)------------------------------
% 0.57/0.74  % (23694)First to succeed.
% 0.57/0.74  % (23690)Also succeeded, but the first one will report.
% 0.57/0.74  % (23694)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Theorem for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74  % (23694)------------------------------
% 0.57/0.74  % (23694)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (23694)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (23694)Memory used [KB]: 1217
% 0.57/0.74  % (23694)Time elapsed: 0.007 s
% 0.57/0.74  % (23694)Instructions burned: 17 (million)
% 0.57/0.74  % (23694)------------------------------
% 0.57/0.74  % (23694)------------------------------
% 0.57/0.74  % (23684)Success in time 0.376 s
% 0.57/0.74  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.57/0.74  23684 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.BPxSmRQqgk/Vampire---4.8_23456
% 0.57/0.74  % (23684)------------------------------
% 0.57/0.74  % (23684)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (23684)Termination reason: Unknown
% 0.57/0.74  % (23684)Termination phase: Unknown
% 0.57/0.74  
% 0.57/0.74  % (23684)Memory used [KB]: 521
% 0.57/0.74  % (23684)Time elapsed: 0.376 s
% 0.57/0.74  % (23684)Instructions burned: 955 (million)
% 0.57/0.74  % (23684)------------------------------
% 0.57/0.74  % (23684)------------------------------
% 0.57/0.74  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  ???
% 0.57/0.74   ???
% 0.57/0.74    ???
% 0.57/0.74     ???
% 0.57/0.74      ???
% 0.57/0.74       ???
% 0.57/0.74        ???
% 0.57/0.74         ???
% 0.57/0.74          ???
% 0.57/0.74           ???
% 0.57/0.74            ???
% 0.57/0.74             ???
% 0.57/0.74              ???
% 0.57/0.74               ???
% 0.57/0.74                ???
% 0.57/0.74                 ???
% 0.57/0.74                  ???
% 0.57/0.74                   ???
% 0.57/0.74                    ???
% 0.57/0.74                     ???
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------