TSTP Solution File: GEO264+3 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO264+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 : n018.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 : Sun May  5 05:10:52 EDT 2024

% Result   : Theorem 0.48s 0.66s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   3 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   40 (  12   ~;   2   |;  19   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   32 (  20   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f74,plain,
    $false,
    inference(subsumption_resolution,[],[f59,f68]) ).

fof(f68,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,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/sandbox/tmp/tmp.rcRevq5Hkk/Vampire---4.8_7445',ax10_basics) ).

fof(f59,plain,
    left_apart_point(sK2,line_connecting(sK0,sK1)),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( ~ left_apart_point(sK3,line_connecting(sK0,sK1))
    & right_apart_point(sK3,line_connecting(sK2,sK0))
    & right_apart_point(sK3,line_connecting(sK1,sK2))
    & left_apart_point(sK2,line_connecting(sK0,sK1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f48,f56]) ).

fof(f56,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ left_apart_point(X3,line_connecting(X0,X1))
        & right_apart_point(X3,line_connecting(X2,X0))
        & right_apart_point(X3,line_connecting(X1,X2))
        & left_apart_point(X2,line_connecting(X0,X1)) )
   => ( ~ left_apart_point(sK3,line_connecting(sK0,sK1))
      & right_apart_point(sK3,line_connecting(sK2,sK0))
      & right_apart_point(sK3,line_connecting(sK1,sK2))
      & left_apart_point(sK2,line_connecting(sK0,sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ? [X0,X1,X2,X3] :
      ( ~ left_apart_point(X3,line_connecting(X0,X1))
      & right_apart_point(X3,line_connecting(X2,X0))
      & right_apart_point(X3,line_connecting(X1,X2))
      & left_apart_point(X2,line_connecting(X0,X1)) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ? [X0,X1,X2,X3] :
      ( ~ left_apart_point(X3,line_connecting(X0,X1))
      & right_apart_point(X3,line_connecting(X2,X0))
      & right_apart_point(X3,line_connecting(X1,X2))
      & left_apart_point(X2,line_connecting(X0,X1)) ),
    inference(ennf_transformation,[],[f39]) ).

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

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

fof(f37,conjecture,
    ! [X2,X5,X6,X8] :
      ( left_apart_point(X6,line_connecting(X2,X5))
     => ( ( right_apart_point(X8,line_connecting(X6,X2))
          & right_apart_point(X8,line_connecting(X5,X6)) )
       => left_apart_point(X8,line_connecting(X2,X5)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.rcRevq5Hkk/Vampire---4.8_7445',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : GEO264+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11  % 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
% 0.10/0.30  % Computer : n018.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Fri May  3 22:05:07 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a FOF_THM_RFO_NEQ problem
% 0.10/0.30  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.rcRevq5Hkk/Vampire---4.8_7445
% 0.48/0.66  % (7720)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)
% 0.48/0.66  % (7715)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.48/0.66  % (7716)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)
% 0.48/0.66  % (7717)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)
% 0.48/0.66  % (7720)First to succeed.
% 0.48/0.66  % (7720)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7710"
% 0.48/0.66  % (7714)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)
% 0.48/0.66  % (7716)Also succeeded, but the first one will report.
% 0.48/0.66  % (7720)Refutation found. Thanks to Tanya!
% 0.48/0.66  % SZS status Theorem for Vampire---4
% 0.48/0.66  % SZS output start Proof for Vampire---4
% See solution above
% 0.48/0.66  % (7720)------------------------------
% 0.48/0.66  % (7720)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.66  % (7720)Termination reason: Refutation
% 0.48/0.66  
% 0.48/0.66  % (7720)Memory used [KB]: 1040
% 0.48/0.66  % (7720)Time elapsed: 0.002 s
% 0.48/0.66  % (7720)Instructions burned: 3 (million)
% 0.48/0.66  % (7710)Success in time 0.35 s
% 0.48/0.66  % Vampire---4.8 exiting
%------------------------------------------------------------------------------