TSTP Solution File: GEO261+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO261+1 : TPTP v8.2.0. 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 : n005.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 : Mon May 20 20:09:53 EDT 2024

% Result   : Theorem 0.71s 0.91s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (   7 unt;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   68 (  25   ~;  16   |;  19   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   57 (  47   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f128,plain,
    $false,
    inference(subsumption_resolution,[],[f124,f121]) ).

fof(f121,plain,
    unequally_directed_lines(sK0,reverse_line(sK1)),
    inference(unit_resulting_resolution,[],[f82,f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) )
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
    <=> ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X2] :
      ( convergent_lines(X1,X2)
    <=> ( unequally_directed_lines(X1,reverse_line(X2))
        & unequally_directed_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con_def) ).

fof(f82,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ~ divides_points(X1,X2,X4)
      & ~ apart_point_and_line(X3,X1)
      & convergent_lines(X0,X1)
      & between_on_line(X0,X2,X3,X4) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ~ divides_points(X1,X2,X4)
      & ~ apart_point_and_line(X3,X1)
      & convergent_lines(X0,X1)
      & between_on_line(X0,X2,X3,X4) ),
    inference(ennf_transformation,[],[f34]) ).

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

fof(f33,negated_conjecture,
    ~ ! [X1,X2,X0,X3,X4] :
        ( ( ~ apart_point_and_line(X3,X2)
          & convergent_lines(X1,X2)
          & between_on_line(X1,X0,X3,X4) )
       => divides_points(X2,X0,X4) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X1,X2,X0,X3,X4] :
      ( ( ~ apart_point_and_line(X3,X2)
        & convergent_lines(X1,X2)
        & between_on_line(X1,X0,X3,X4) )
     => divides_points(X2,X0,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f124,plain,
    ~ unequally_directed_lines(sK0,reverse_line(sK1)),
    inference(unit_resulting_resolution,[],[f117,f118,f120,f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) )
     => ( left_convergent_lines(X0,reverse_line(X1))
        | left_convergent_lines(X0,X1) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X1,X2] :
      ( ( unequally_directed_lines(X1,reverse_line(X2))
        & unequally_directed_lines(X1,X2) )
     => ( left_convergent_lines(X1,reverse_line(X2))
        | left_convergent_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag9) ).

fof(f120,plain,
    unequally_directed_lines(sK0,sK1),
    inference(unit_resulting_resolution,[],[f82,f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f118,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ left_convergent_lines(X0,reverse_line(X1))
      & ~ left_convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ~ ( left_convergent_lines(X0,reverse_line(X1))
        | left_convergent_lines(X0,X1) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X1,X2] :
      ~ ( left_convergent_lines(X1,reverse_line(X2))
        | left_convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag11) ).

fof(f117,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GEO261+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 0.13/0.14  % 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
% 0.14/0.36  % Computer : n005.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   : Sun May 19 14:34:53 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.91  % (22331)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.71/0.91  % (22329)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 theBenchmark for (2994ds/34Mi)
% 0.71/0.91  % (22332)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.71/0.91  % (22330)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 theBenchmark for (2994ds/51Mi)
% 0.71/0.91  % (22333)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 theBenchmark for (2994ds/34Mi)
% 0.71/0.91  % (22334)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.71/0.91  % (22335)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 theBenchmark for (2994ds/83Mi)
% 0.71/0.91  % (22336)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.71/0.91  % (22332)Refutation not found, incomplete strategy% (22332)------------------------------
% 0.71/0.91  % (22332)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91  % (22329)Refutation not found, incomplete strategy% (22329)------------------------------
% 0.71/0.91  % (22329)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91  % (22329)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.91  
% 0.71/0.91  % (22329)Memory used [KB]: 968
% 0.71/0.91  % (22329)Time elapsed: 0.002 s
% 0.71/0.91  % (22329)Instructions burned: 2 (million)
% 0.71/0.91  % (22332)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.91  
% 0.71/0.91  % (22332)Memory used [KB]: 968
% 0.71/0.91  % (22332)Time elapsed: 0.002 s
% 0.71/0.91  % (22332)Instructions burned: 2 (million)
% 0.71/0.91  % (22329)------------------------------
% 0.71/0.91  % (22329)------------------------------
% 0.71/0.91  % (22332)------------------------------
% 0.71/0.91  % (22332)------------------------------
% 0.71/0.91  % (22334)Refutation not found, incomplete strategy% (22334)------------------------------
% 0.71/0.91  % (22334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91  % (22334)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.91  
% 0.71/0.91  % (22334)Memory used [KB]: 1064
% 0.71/0.91  % (22334)Time elapsed: 0.003 s
% 0.71/0.91  % (22334)Instructions burned: 3 (million)
% 0.71/0.91  % (22334)------------------------------
% 0.71/0.91  % (22334)------------------------------
% 0.71/0.91  % (22336)Refutation not found, incomplete strategy% (22336)------------------------------
% 0.71/0.91  % (22336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91  % (22331)Also succeeded, but the first one will report.
% 0.71/0.91  % (22335)First to succeed.
% 0.71/0.91  % (22336)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.91  
% 0.71/0.91  % (22336)Memory used [KB]: 1066
% 0.71/0.91  % (22336)Time elapsed: 0.003 s
% 0.71/0.91  % (22336)Instructions burned: 3 (million)
% 0.71/0.91  % (22336)------------------------------
% 0.71/0.91  % (22336)------------------------------
% 0.71/0.91  % (22335)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22328"
% 0.71/0.91  % (22335)Refutation found. Thanks to Tanya!
% 0.71/0.91  % SZS status Theorem for theBenchmark
% 0.71/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.91  % (22335)------------------------------
% 0.71/0.91  % (22335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91  % (22335)Termination reason: Refutation
% 0.71/0.91  
% 0.71/0.91  % (22335)Memory used [KB]: 1070
% 0.71/0.91  % (22335)Time elapsed: 0.004 s
% 0.71/0.91  % (22335)Instructions burned: 4 (million)
% 0.71/0.91  % (22328)Success in time 0.54 s
% 0.71/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------