TSTP Solution File: GEO257+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO257+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 : n016.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 02:23:18 EDT 2024

% Result   : Theorem 0.59s 0.81s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :   14 (   5 avg)
%            Number of connectives :   70 (  19   ~;   1   |;  43   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   36 (  21   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f93,plain,
    $false,
    inference(subsumption_resolution,[],[f66,f75]) ).

fof(f75,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ~ ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.f44VaYTFJK/Vampire---4.8_7685',oag10) ).

fof(f66,plain,
    left_apart_point(sK4,sK0),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ~ before_on_line(sK0,sK1,sK3)
    & before_on_line(sK0,sK2,sK3)
    & before_on_line(sK0,sK1,sK2)
    & left_apart_point(sK4,sK0)
    & ~ apart_point_and_line(sK3,sK0)
    & distinct_points(sK2,sK3)
    & distinct_points(sK1,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f45,f59]) ).

fof(f59,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( ~ before_on_line(X0,X1,X3)
        & before_on_line(X0,X2,X3)
        & before_on_line(X0,X1,X2)
        & left_apart_point(X4,X0)
        & ~ apart_point_and_line(X3,X0)
        & distinct_points(X2,X3)
        & distinct_points(X1,X3) )
   => ( ~ before_on_line(sK0,sK1,sK3)
      & before_on_line(sK0,sK2,sK3)
      & before_on_line(sK0,sK1,sK2)
      & left_apart_point(sK4,sK0)
      & ~ apart_point_and_line(sK3,sK0)
      & distinct_points(sK2,sK3)
      & distinct_points(sK1,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ~ before_on_line(X0,X1,X3)
      & before_on_line(X0,X2,X3)
      & before_on_line(X0,X1,X2)
      & left_apart_point(X4,X0)
      & ~ apart_point_and_line(X3,X0)
      & distinct_points(X2,X3)
      & distinct_points(X1,X3) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ~ before_on_line(X0,X1,X3)
      & before_on_line(X0,X2,X3)
      & before_on_line(X0,X1,X2)
      & left_apart_point(X4,X0)
      & ~ apart_point_and_line(X3,X0)
      & distinct_points(X2,X3)
      & distinct_points(X1,X3) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0,X1,X2,X3,X4] :
        ( ( left_apart_point(X4,X0)
          & ~ apart_point_and_line(X3,X0)
          & distinct_points(X2,X3)
          & distinct_points(X1,X3) )
       => ( ( before_on_line(X0,X2,X3)
            & before_on_line(X0,X1,X2) )
         => before_on_line(X0,X1,X3) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X1,X0,X3,X4,X6] :
        ( ( left_apart_point(X6,X1)
          & ~ apart_point_and_line(X4,X1)
          & distinct_points(X3,X4)
          & distinct_points(X0,X4) )
       => ( ( before_on_line(X1,X3,X4)
            & before_on_line(X1,X0,X3) )
         => before_on_line(X1,X0,X4) ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X1,X0,X3,X4,X6] :
      ( ( left_apart_point(X6,X1)
        & ~ apart_point_and_line(X4,X1)
        & distinct_points(X3,X4)
        & distinct_points(X0,X4) )
     => ( ( before_on_line(X1,X3,X4)
          & before_on_line(X1,X0,X3) )
       => before_on_line(X1,X0,X4) ) ),
    file('/export/starexec/sandbox/tmp/tmp.f44VaYTFJK/Vampire---4.8_7685',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GEO257+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.11/0.12  % 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
% 0.11/0.32  % Computer : n016.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 19:30:56 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_NEQ problem
% 0.11/0.32  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.f44VaYTFJK/Vampire---4.8_7685
% 0.59/0.81  % (7804)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.81  % (7805)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.81  % (7802)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 (2995ds/34Mi)
% 0.59/0.81  % (7806)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 (2995ds/34Mi)
% 0.59/0.81  % (7807)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.81  % (7803)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 (2995ds/51Mi)
% 0.59/0.81  % (7808)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 (2995ds/83Mi)
% 0.59/0.81  % (7807)First to succeed.
% 0.59/0.81  % (7809)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 (2995ds/56Mi)
% 0.59/0.81  % (7802)Also succeeded, but the first one will report.
% 0.59/0.81  % (7803)Also succeeded, but the first one will report.
% 0.59/0.81  % (7807)Refutation found. Thanks to Tanya!
% 0.59/0.81  % SZS status Theorem for Vampire---4
% 0.59/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.81  % (7807)------------------------------
% 0.59/0.81  % (7807)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81  % (7807)Termination reason: Refutation
% 0.59/0.81  
% 0.59/0.81  % (7807)Memory used [KB]: 1041
% 0.59/0.81  % (7807)Time elapsed: 0.003 s
% 0.59/0.81  % (7807)Instructions burned: 3 (million)
% 0.59/0.81  % (7807)------------------------------
% 0.59/0.81  % (7807)------------------------------
% 0.59/0.81  % (7799)Success in time 0.481 s
% 0.59/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------