TSTP Solution File: GEO226+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO226+1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 02:23:08 EDT 2024

% Result   : Theorem 0.47s 0.69s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   4 unt;   0 def)
%            Number of atoms       :   68 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   70 (  21   ~;  11   |;  29   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   34 (  25   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f87,plain,
    $false,
    inference(subsumption_resolution,[],[f86,f59]) ).

fof(f59,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ( ! [X2] :
        ( ( apart_point_and_line(X2,sK1)
          | apart_point_and_line(X2,sK0) )
        & point(X2) )
    & convergent_lines(sK0,sK1)
    & line(sK1)
    & line(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f28,f55]) ).

fof(f55,plain,
    ( ? [X0,X1] :
        ( ! [X2] :
            ( ( apart_point_and_line(X2,X1)
              | apart_point_and_line(X2,X0) )
            & point(X2) )
        & convergent_lines(X0,X1)
        & line(X1)
        & line(X0) )
   => ( ! [X2] :
          ( ( apart_point_and_line(X2,sK1)
            | apart_point_and_line(X2,sK0) )
          & point(X2) )
      & convergent_lines(sK0,sK1)
      & line(sK1)
      & line(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ( apart_point_and_line(X2,X1)
            | apart_point_and_line(X2,X0) )
          & point(X2) )
      & convergent_lines(X0,X1)
      & line(X1)
      & line(X0) ),
    inference(flattening,[],[f27]) ).

fof(f27,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ( apart_point_and_line(X2,X1)
            | apart_point_and_line(X2,X0) )
          & point(X2) )
      & convergent_lines(X0,X1)
      & line(X1)
      & line(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X0,X1] :
        ( ( convergent_lines(X0,X1)
          & line(X1)
          & line(X0) )
       => ? [X2] :
            ( point(X2)
           => ( ~ apart_point_and_line(X2,X1)
              & ~ apart_point_and_line(X2,X0) ) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X7,X8] :
        ( ( convergent_lines(X7,X8)
          & line(X8)
          & line(X7) )
       => ? [X0] :
            ( point(X0)
           => ( ~ apart_point_and_line(X0,X8)
              & ~ apart_point_and_line(X0,X7) ) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X7,X8] :
      ( ( convergent_lines(X7,X8)
        & line(X8)
        & line(X7) )
     => ? [X0] :
          ( point(X0)
         => ( ~ apart_point_and_line(X0,X8)
            & ~ apart_point_and_line(X0,X7) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.c3k6NWJzIf/Vampire---4.8_25787',con) ).

fof(f86,plain,
    ~ convergent_lines(sK0,sK1),
    inference(resolution,[],[f85,f84]) ).

fof(f84,plain,
    ! [X0] :
      ( apart_point_and_line(intersection_point(X0,sK1),sK0)
      | ~ convergent_lines(X0,sK1) ),
    inference(resolution,[],[f64,f61]) ).

fof(f61,plain,
    ! [X2] :
      ( apart_point_and_line(X2,sK1)
      | apart_point_and_line(X2,sK0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,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.c3k6NWJzIf/Vampire---4.8_25787',ci4) ).

fof(f85,plain,
    ~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
    inference(resolution,[],[f65,f59]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,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.c3k6NWJzIf/Vampire---4.8_25787',ci3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : GEO226+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.12  % 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
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 19:25:33 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_RFO_NEQ problem
% 0.12/0.33  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.c3k6NWJzIf/Vampire---4.8_25787
% 0.47/0.69  % (25901)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)
% 0.47/0.69  % (25897)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.47/0.69  % (25902)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)
% 0.47/0.69  % (25896)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)
% 0.47/0.69  % (25898)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)
% 0.47/0.69  % (25902)Refutation not found, incomplete strategy% (25902)------------------------------
% 0.47/0.69  % (25902)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.69  % (25902)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.69  
% 0.47/0.69  % (25902)Memory used [KB]: 982
% 0.47/0.69  % (25902)Time elapsed: 0.001 s
% 0.47/0.69  % (25902)Instructions burned: 2 (million)
% 0.47/0.69  % (25902)------------------------------
% 0.47/0.69  % (25902)------------------------------
% 0.47/0.69  % (25898)Refutation not found, incomplete strategy% (25898)------------------------------
% 0.47/0.69  % (25898)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.69  % (25898)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.69  
% 0.47/0.69  % (25898)Memory used [KB]: 984
% 0.47/0.69  % (25898)Time elapsed: 0.002 s
% 0.47/0.69  % (25898)Instructions burned: 2 (million)
% 0.47/0.69  % (25898)------------------------------
% 0.47/0.69  % (25898)------------------------------
% 0.47/0.69  % (25897)First to succeed.
% 0.47/0.69  % (25895)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)
% 0.47/0.69  % (25896)Also succeeded, but the first one will report.
% 0.47/0.69  % (25897)Refutation found. Thanks to Tanya!
% 0.47/0.69  % SZS status Theorem for Vampire---4
% 0.47/0.69  % SZS output start Proof for Vampire---4
% See solution above
% 0.47/0.69  % (25897)------------------------------
% 0.47/0.69  % (25897)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.69  % (25897)Termination reason: Refutation
% 0.47/0.69  
% 0.47/0.69  % (25897)Memory used [KB]: 997
% 0.47/0.69  % (25897)Time elapsed: 0.003 s
% 0.47/0.69  % (25897)Instructions burned: 3 (million)
% 0.47/0.69  % (25897)------------------------------
% 0.47/0.69  % (25897)------------------------------
% 0.47/0.69  % (25894)Success in time 0.357 s
% 0.47/0.69  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.47/0.69  25894 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.c3k6NWJzIf/Vampire---4.8_25787
% 0.47/0.69  % (25894)------------------------------
% 0.47/0.69  % (25894)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.69  % (25894)Termination reason: Unknown
% 0.47/0.69  % (25894)Termination phase: Unknown
% 0.47/0.69  
% 0.47/0.69  % (25894)Memory used [KB]: 458
% 0.47/0.69  % (25894)Time elapsed: 0.357 s
% 0.47/0.69  % (25894)Instructions burned: 953 (million)
% 0.47/0.69  % (25894)------------------------------
% 0.47/0.69  % (25894)------------------------------
% 0.47/0.69  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.69  ???
% 0.47/0.69   ???
% 0.47/0.69    ???
% 0.47/0.69     ???
% 0.47/0.69      ???
% 0.47/0.69       ???
% 0.47/0.69        ???
% 0.47/0.69         ???
% 0.47/0.69          ???
% 0.47/0.69           ???
% 0.47/0.69            ???
% 0.47/0.69             ???
% 0.47/0.69              ???
% 0.47/0.69               ???
% 0.47/0.69                ???
% 0.47/0.69                 ???
% 0.47/0.69                  ???
% 0.47/0.69                   ???
% 0.47/0.69                    ???
% 0.47/0.69                     ???
% 0.47/0.69  % Vampire---4.8 exiting
%------------------------------------------------------------------------------