TSTP Solution File: GEO247+3 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO247+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n009.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 02:23:15 EDT 2024

% Result   : Theorem 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   3 unt;   0 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :   18 (   6 avg)
%            Number of connectives :   80 (  12   ~;   2   |;  62   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   44 (  26   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f124,plain,
    $false,
    inference(subsumption_resolution,[],[f95,f102]) ).

fof(f102,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ~ ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X2,X3] :
      ~ ( left_apart_point(X2,reverse_line(X3))
        | left_apart_point(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.29pUqol2xn/Vampire---4.8_21383',ax10_basics) ).

fof(f95,plain,
    left_apart_point(sK3,sK5),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ( ~ convergent_lines(sK4,sK5)
    & left_apart_point(sK3,sK5)
    & right_apart_point(sK3,sK4)
    & right_apart_point(sK2,sK5)
    & left_apart_point(sK2,sK4)
    & right_apart_point(sK1,sK5)
    & right_apart_point(sK1,sK4)
    & left_apart_point(sK0,sK5)
    & left_apart_point(sK0,sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f61,f85]) ).

fof(f85,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( ~ convergent_lines(X4,X5)
        & left_apart_point(X3,X5)
        & right_apart_point(X3,X4)
        & right_apart_point(X2,X5)
        & left_apart_point(X2,X4)
        & right_apart_point(X1,X5)
        & right_apart_point(X1,X4)
        & left_apart_point(X0,X5)
        & left_apart_point(X0,X4) )
   => ( ~ convergent_lines(sK4,sK5)
      & left_apart_point(sK3,sK5)
      & right_apart_point(sK3,sK4)
      & right_apart_point(sK2,sK5)
      & left_apart_point(sK2,sK4)
      & right_apart_point(sK1,sK5)
      & right_apart_point(sK1,sK4)
      & left_apart_point(sK0,sK5)
      & left_apart_point(sK0,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f61,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ convergent_lines(X4,X5)
      & left_apart_point(X3,X5)
      & right_apart_point(X3,X4)
      & right_apart_point(X2,X5)
      & left_apart_point(X2,X4)
      & right_apart_point(X1,X5)
      & right_apart_point(X1,X4)
      & left_apart_point(X0,X5)
      & left_apart_point(X0,X4) ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ convergent_lines(X4,X5)
      & left_apart_point(X3,X5)
      & right_apart_point(X3,X4)
      & right_apart_point(X2,X5)
      & left_apart_point(X2,X4)
      & right_apart_point(X1,X5)
      & right_apart_point(X1,X4)
      & left_apart_point(X0,X5)
      & left_apart_point(X0,X4) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( left_apart_point(X3,X5)
          & right_apart_point(X3,X4)
          & right_apart_point(X2,X5)
          & left_apart_point(X2,X4)
          & right_apart_point(X1,X5)
          & right_apart_point(X1,X4)
          & left_apart_point(X0,X5)
          & left_apart_point(X0,X4) )
       => convergent_lines(X4,X5) ),
    inference(rectify,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X2,X5,X6,X8,X3,X4] :
        ( ( left_apart_point(X8,X4)
          & right_apart_point(X8,X3)
          & right_apart_point(X6,X4)
          & left_apart_point(X6,X3)
          & right_apart_point(X5,X4)
          & right_apart_point(X5,X3)
          & left_apart_point(X2,X4)
          & left_apart_point(X2,X3) )
       => convergent_lines(X3,X4) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X2,X5,X6,X8,X3,X4] :
      ( ( left_apart_point(X8,X4)
        & right_apart_point(X8,X3)
        & right_apart_point(X6,X4)
        & left_apart_point(X6,X3)
        & right_apart_point(X5,X4)
        & right_apart_point(X5,X3)
        & left_apart_point(X2,X4)
        & left_apart_point(X2,X3) )
     => convergent_lines(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.29pUqol2xn/Vampire---4.8_21383',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GEO247+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n009.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 18:49:41 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.29pUqol2xn/Vampire---4.8_21383
% 0.54/0.74  % (21600)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)
% 0.54/0.74  % (21602)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)
% 0.54/0.74  % (21600)First to succeed.
% 0.54/0.74  % (21595)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)
% 0.54/0.74  % (21602)Also succeeded, but the first one will report.
% 0.54/0.74  % (21597)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74  % (21596)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)
% 0.54/0.74  % (21598)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)
% 0.54/0.74  % (21599)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)
% 0.54/0.75  % (21601)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)
% 0.54/0.75  % (21600)Refutation found. Thanks to Tanya!
% 0.54/0.75  % SZS status Theorem for Vampire---4
% 0.54/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75  % (21600)------------------------------
% 0.54/0.75  % (21600)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (21600)Termination reason: Refutation
% 0.54/0.75  
% 0.54/0.75  % (21600)Memory used [KB]: 1045
% 0.54/0.75  % (21600)Time elapsed: 0.002 s
% 0.54/0.75  % (21600)Instructions burned: 3 (million)
% 0.54/0.75  % (21600)------------------------------
% 0.54/0.75  % (21600)------------------------------
% 0.54/0.75  % (21571)Success in time 0.385 s
% 0.54/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------