TSTP Solution File: GEO225+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO225+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 02:23:07 EDT 2024

% Result   : Theorem 0.61s 0.76s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   3 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   67 (  28   ~;  11   |;  17   &)
%                                         (   0 <=>;  11  =>;   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   :   37 (  28   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f57,plain,
    $false,
    inference(subsumption_resolution,[],[f56,f44]) ).

fof(f44,plain,
    distinct_points(sK0,sK1),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( ! [X2] :
        ( apart_point_and_line(sK1,X2)
        | apart_point_and_line(sK0,X2) )
    & distinct_points(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f31,f42]) ).

fof(f42,plain,
    ( ? [X0,X1] :
        ( ! [X2] :
            ( apart_point_and_line(X1,X2)
            | apart_point_and_line(X0,X2) )
        & distinct_points(X0,X1) )
   => ( ! [X2] :
          ( apart_point_and_line(sK1,X2)
          | apart_point_and_line(sK0,X2) )
      & distinct_points(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( apart_point_and_line(X1,X2)
          | apart_point_and_line(X0,X2) )
      & distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ~ ! [X0,X1] :
        ( distinct_points(X0,X1)
       => ? [X2] :
            ( ~ apart_point_and_line(X1,X2)
            & ~ apart_point_and_line(X0,X2) ) ),
    inference(pure_predicate_removal,[],[f28]) ).

fof(f28,plain,
    ~ ! [X0,X1] :
        ( ( distinct_points(X0,X1)
          & point(X1)
          & point(X0) )
       => ? [X2] :
            ( ~ apart_point_and_line(X1,X2)
            & ~ apart_point_and_line(X0,X2) ) ),
    inference(pure_predicate_removal,[],[f21]) ).

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

fof(f20,negated_conjecture,
    ~ ! [X5,X6] :
        ( ( distinct_points(X5,X6)
          & point(X6)
          & point(X5) )
       => ? [X0] :
            ( line(X0)
           => ( ~ apart_point_and_line(X6,X0)
              & ~ apart_point_and_line(X5,X0) ) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X5,X6] :
      ( ( distinct_points(X5,X6)
        & point(X6)
        & point(X5) )
     => ? [X0] :
          ( line(X0)
         => ( ~ apart_point_and_line(X6,X0)
            & ~ apart_point_and_line(X5,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.cTYE1b58QP/Vampire---4.8_29908',con) ).

fof(f56,plain,
    ~ distinct_points(sK0,sK1),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f55,plain,
    ( ~ distinct_points(sK0,sK1)
    | ~ distinct_points(sK0,sK1) ),
    inference(resolution,[],[f49,f53]) ).

fof(f53,plain,
    ! [X0] :
      ( apart_point_and_line(sK0,line_connecting(X0,sK1))
      | ~ distinct_points(X0,sK1) ),
    inference(resolution,[],[f48,f45]) ).

fof(f45,plain,
    ! [X2] :
      ( apart_point_and_line(sK1,X2)
      | apart_point_and_line(sK0,X2) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X1,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,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/sandbox/tmp/tmp.cTYE1b58QP/Vampire---4.8_29908',ci2) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,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/sandbox/tmp/tmp.cTYE1b58QP/Vampire---4.8_29908',ci1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.15  % 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
% 0.16/0.37  % Computer : n007.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 18:48:48 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_NEQ problem
% 0.16/0.37  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.cTYE1b58QP/Vampire---4.8_29908
% 0.55/0.76  % (30172)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)
% 0.55/0.76  % (30166)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)
% 0.55/0.76  % (30168)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76  % (30167)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)
% 0.55/0.76  % (30169)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)
% 0.55/0.76  % (30171)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)
% 0.55/0.76  % (30170)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)
% 0.55/0.76  % (30171)Refutation not found, incomplete strategy% (30171)------------------------------
% 0.55/0.76  % (30171)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (30171)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (30166)First to succeed.
% 0.55/0.76  % (30171)Memory used [KB]: 982
% 0.55/0.76  % (30169)Refutation not found, incomplete strategy% (30169)------------------------------
% 0.55/0.76  % (30169)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (30171)Time elapsed: 0.002 s
% 0.55/0.76  % (30171)Instructions burned: 2 (million)
% 0.55/0.76  % (30171)------------------------------
% 0.55/0.76  % (30171)------------------------------
% 0.55/0.76  % (30169)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (30169)Memory used [KB]: 984
% 0.55/0.76  % (30169)Time elapsed: 0.003 s
% 0.55/0.76  % (30169)Instructions burned: 2 (million)
% 0.55/0.76  % (30169)------------------------------
% 0.55/0.76  % (30169)------------------------------
% 0.55/0.76  % (30167)Also succeeded, but the first one will report.
% 0.61/0.76  % (30168)Also succeeded, but the first one will report.
% 0.61/0.76  % (30166)Refutation found. Thanks to Tanya!
% 0.61/0.76  % SZS status Theorem for Vampire---4
% 0.61/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76  % (30166)------------------------------
% 0.61/0.76  % (30166)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (30166)Termination reason: Refutation
% 0.61/0.76  
% 0.61/0.76  % (30166)Memory used [KB]: 982
% 0.61/0.76  % (30166)Time elapsed: 0.003 s
% 0.61/0.76  % (30166)Instructions burned: 3 (million)
% 0.61/0.76  % (30166)------------------------------
% 0.61/0.76  % (30166)------------------------------
% 0.61/0.76  % (30162)Success in time 0.384 s
% 0.61/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------