TSTP Solution File: GEO187+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO187+3 : TPTP v8.2.0. 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 : 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 : Mon May 20 20:09:13 EDT 2024

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   49 (  14 unt;   0 def)
%            Number of atoms       :  128 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  120 (  41   ~;  46   |;  22   &)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 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   :   70 (  62   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f259,plain,
    $false,
    inference(avatar_sat_refutation,[],[f145,f235,f258]) ).

fof(f258,plain,
    spl5_2,
    inference(avatar_contradiction_clause,[],[f257]) ).

fof(f257,plain,
    ( $false
    | spl5_2 ),
    inference(subsumption_resolution,[],[f246,f213]) ).

fof(f213,plain,
    ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK3)),
    inference(unit_resulting_resolution,[],[f148,f149,f93,f166,f168,f101]) ).

fof(f101,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,[],[f61]) ).

fof(f61,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,[],[f60]) ).

fof(f60,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,[],[f40]) ).

fof(f40,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/sandbox2/benchmark/theBenchmark.p',cu1) ).

fof(f168,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK2,sK3)),
    inference(unit_resulting_resolution,[],[f96,f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ incident_point_and_line(X0,X1)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0,X1] :
      ( incident_point_and_line(X0,X1)
    <=> ~ apart_point_and_line(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).

fof(f96,plain,
    incident_point_and_line(sK1,line_connecting(sK2,sK3)),
    inference(cnf_transformation,[],[f53]) ).

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

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

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

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

fof(f36,conjecture,
    ! [X0,X1,X3,X4] :
      ( ( incident_point_and_line(X1,line_connecting(X3,X4))
        & incident_point_and_line(X0,line_connecting(X3,X4))
        & distinct_points(X3,X4)
        & distinct_points(X0,X1) )
     => ( incident_point_and_line(X4,line_connecting(X0,X1))
        & incident_point_and_line(X3,line_connecting(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f166,plain,
    ~ apart_point_and_line(sK0,line_connecting(sK2,sK3)),
    inference(unit_resulting_resolution,[],[f95,f105]) ).

fof(f95,plain,
    incident_point_and_line(sK0,line_connecting(sK2,sK3)),
    inference(cnf_transformation,[],[f53]) ).

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

fof(f149,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f93,f98]) ).

fof(f98,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/sandbox2/benchmark/theBenchmark.p',ci2) ).

fof(f148,plain,
    ~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f93,f99]) ).

fof(f99,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/sandbox2/benchmark/theBenchmark.p',ci1) ).

fof(f246,plain,
    ( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK3))
    | spl5_2 ),
    inference(unit_resulting_resolution,[],[f153,f238,f111]) ).

fof(f111,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f74]) ).

fof(f74,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/sandbox2/benchmark/theBenchmark.p',ceq2) ).

fof(f238,plain,
    ( apart_point_and_line(sK2,line_connecting(sK0,sK1))
    | spl5_2 ),
    inference(unit_resulting_resolution,[],[f144,f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( incident_point_and_line(X0,X1)
      | apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f144,plain,
    ( ~ incident_point_and_line(sK2,line_connecting(sK0,sK1))
    | spl5_2 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl5_2
  <=> incident_point_and_line(sK2,line_connecting(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f153,plain,
    ~ apart_point_and_line(sK2,line_connecting(sK2,sK3)),
    inference(unit_resulting_resolution,[],[f94,f99]) ).

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

fof(f235,plain,
    spl5_1,
    inference(avatar_contradiction_clause,[],[f234]) ).

fof(f234,plain,
    ( $false
    | spl5_1 ),
    inference(subsumption_resolution,[],[f224,f213]) ).

fof(f224,plain,
    ( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK3))
    | spl5_1 ),
    inference(unit_resulting_resolution,[],[f154,f170,f111]) ).

fof(f170,plain,
    ( apart_point_and_line(sK3,line_connecting(sK0,sK1))
    | spl5_1 ),
    inference(unit_resulting_resolution,[],[f140,f104]) ).

fof(f140,plain,
    ( ~ incident_point_and_line(sK3,line_connecting(sK0,sK1))
    | spl5_1 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl5_1
  <=> incident_point_and_line(sK3,line_connecting(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f154,plain,
    ~ apart_point_and_line(sK3,line_connecting(sK2,sK3)),
    inference(unit_resulting_resolution,[],[f94,f98]) ).

fof(f145,plain,
    ( ~ spl5_1
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f92,f142,f138]) ).

fof(f92,plain,
    ( ~ incident_point_and_line(sK2,line_connecting(sK0,sK1))
    | ~ incident_point_and_line(sK3,line_connecting(sK0,sK1)) ),
    inference(cnf_transformation,[],[f53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO187+3 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 14:25:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.13/0.35  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/benchmark/theBenchmark.p
% 0.56/0.74  % (29689)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 theBenchmark for (2996ds/83Mi)
% 0.56/0.74  % (29685)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74  % (29686)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74  % (29687)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.74  % (29684)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 theBenchmark for (2996ds/51Mi)
% 0.56/0.74  % (29688)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74  % (29683)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.74  % (29689)First to succeed.
% 0.56/0.74  % (29689)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29682"
% 0.56/0.74  % (29686)Refutation not found, incomplete strategy% (29686)------------------------------
% 0.56/0.74  % (29686)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (29686)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (29686)Memory used [KB]: 1165
% 0.56/0.74  % (29686)Time elapsed: 0.004 s
% 0.56/0.74  % (29686)Instructions burned: 5 (million)
% 0.56/0.74  % (29689)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Theorem for theBenchmark
% 0.56/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.74  % (29689)------------------------------
% 0.56/0.74  % (29689)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (29689)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (29689)Memory used [KB]: 1209
% 0.56/0.74  % (29689)Time elapsed: 0.004 s
% 0.56/0.74  % (29689)Instructions burned: 10 (million)
% 0.56/0.74  % (29682)Success in time 0.38 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------