TSTP Solution File: GEO237+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO237+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.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 05:10:43 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   5 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   66 (  24   ~;  14   |;  20   &)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   40 (  28   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,plain,
    $false,
    inference(subsumption_resolution,[],[f76,f74]) ).

fof(f74,plain,
    ! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,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/sandbox2/tmp/tmp.ZiwCj4gDml/Vampire---4.8_26033',oag10) ).

fof(f76,plain,
    left_apart_point(sK2,reverse_line(sK3)),
    inference(subsumption_resolution,[],[f75,f73]) ).

fof(f73,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f48]) ).

fof(f75,plain,
    ( left_apart_point(sK2,sK3)
    | left_apart_point(sK2,reverse_line(sK3)) ),
    inference(resolution,[],[f55,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | left_apart_point(X0,X1)
      | left_apart_point(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( apart_point_and_line(X0,X1)
        | ( ~ left_apart_point(X0,reverse_line(X1))
          & ~ left_apart_point(X0,X1) ) )
      & ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1)
        | ~ apart_point_and_line(X0,X1) ) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ( apart_point_and_line(X0,X1)
        | ( ~ left_apart_point(X0,reverse_line(X1))
          & ~ left_apart_point(X0,X1) ) )
      & ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1)
        | ~ apart_point_and_line(X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( apart_point_and_line(X0,X1)
    <=> ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZiwCj4gDml/Vampire---4.8_26033',apt_def) ).

fof(f55,plain,
    apart_point_and_line(sK2,sK3),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( ~ divides_points(sK3,sK1,sK2)
    & ~ divides_points(sK3,sK0,sK2)
    & divides_points(sK3,sK0,sK1)
    & apart_point_and_line(sK2,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f42,f49]) ).

fof(f49,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ divides_points(X3,X1,X2)
        & ~ divides_points(X3,X0,X2)
        & divides_points(X3,X0,X1)
        & apart_point_and_line(X2,X3) )
   => ( ~ divides_points(sK3,sK1,sK2)
      & ~ divides_points(sK3,sK0,sK2)
      & divides_points(sK3,sK0,sK1)
      & apart_point_and_line(sK2,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ? [X0,X1,X2,X3] :
      ( ~ divides_points(X3,X1,X2)
      & ~ divides_points(X3,X0,X2)
      & divides_points(X3,X0,X1)
      & apart_point_and_line(X2,X3) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ? [X0,X1,X2,X3] :
      ( ~ divides_points(X3,X1,X2)
      & ~ divides_points(X3,X0,X2)
      & divides_points(X3,X0,X1)
      & apart_point_and_line(X2,X3) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0,X1,X2,X3] :
        ( apart_point_and_line(X2,X3)
       => ( divides_points(X3,X0,X1)
         => ( divides_points(X3,X1,X2)
            | divides_points(X3,X0,X2) ) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X0,X3,X4,X1] :
        ( apart_point_and_line(X4,X1)
       => ( divides_points(X1,X0,X3)
         => ( divides_points(X1,X3,X4)
            | divides_points(X1,X0,X4) ) ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X0,X3,X4,X1] :
      ( apart_point_and_line(X4,X1)
     => ( divides_points(X1,X0,X3)
       => ( divides_points(X1,X3,X4)
          | divides_points(X1,X0,X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZiwCj4gDml/Vampire---4.8_26033',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GEO237+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.12/0.14  % 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
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 22:06:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36  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.ZiwCj4gDml/Vampire---4.8_26033
% 0.55/0.75  % (26222)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)
% 0.55/0.75  % (26224)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (26226)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)
% 0.55/0.75  % (26223)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)
% 0.55/0.75  % (26227)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)
% 0.55/0.75  % (26229)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)
% 0.55/0.75  % (26228)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)
% 0.55/0.75  % (26225)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)
% 0.55/0.75  % (26227)Also succeeded, but the first one will report.
% 0.55/0.75  % (26229)First to succeed.
% 0.55/0.75  % (26222)Also succeeded, but the first one will report.
% 0.55/0.75  % (26226)Refutation not found, incomplete strategy% (26226)------------------------------
% 0.55/0.75  % (26226)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (26226)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (26226)Memory used [KB]: 1043
% 0.55/0.75  % (26226)Time elapsed: 0.003 s
% 0.55/0.75  % (26226)Instructions burned: 3 (million)
% 0.55/0.75  % (26229)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26221"
% 0.55/0.75  % (26228)Also succeeded, but the first one will report.
% 0.55/0.75  % (26226)------------------------------
% 0.55/0.75  % (26226)------------------------------
% 0.55/0.75  % (26223)Also succeeded, but the first one will report.
% 0.55/0.75  % (26224)Also succeeded, but the first one will report.
% 0.55/0.75  % (26229)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (26229)------------------------------
% 0.55/0.75  % (26229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (26229)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (26229)Memory used [KB]: 1043
% 0.55/0.75  % (26229)Time elapsed: 0.003 s
% 0.55/0.75  % (26229)Instructions burned: 3 (million)
% 0.55/0.75  % (26221)Success in time 0.386 s
% 0.55/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------