TSTP Solution File: GEO263+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO263+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 : n015.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 02:23:20 EDT 2024

% Result   : Theorem 0.62s 0.85s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (   5 unt;   0 def)
%            Number of atoms       :   94 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   94 (  29   ~;  20   |;  36   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   76 (  58   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f174,plain,
    $false,
    inference(resolution,[],[f171,f111]) ).

fof(f111,plain,
    convergent_lines(sK1,sK2),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ( ~ between_on_line(sK1,intersection_point(sK1,parallel_through_point(sK2,sK3)),intersection_point(sK1,parallel_through_point(sK2,sK4)),intersection_point(sK1,parallel_through_point(sK2,sK5)))
    & convergent_lines(sK1,sK2)
    & convergent_lines(sK0,sK2)
    & convergent_lines(sK0,sK1)
    & between_on_line(sK0,sK3,sK4,sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f63,f102]) ).

fof(f102,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( ~ between_on_line(X1,intersection_point(X1,parallel_through_point(X2,X3)),intersection_point(X1,parallel_through_point(X2,X4)),intersection_point(X1,parallel_through_point(X2,X5)))
        & convergent_lines(X1,X2)
        & convergent_lines(X0,X2)
        & convergent_lines(X0,X1)
        & between_on_line(X0,X3,X4,X5) )
   => ( ~ between_on_line(sK1,intersection_point(sK1,parallel_through_point(sK2,sK3)),intersection_point(sK1,parallel_through_point(sK2,sK4)),intersection_point(sK1,parallel_through_point(sK2,sK5)))
      & convergent_lines(sK1,sK2)
      & convergent_lines(sK0,sK2)
      & convergent_lines(sK0,sK1)
      & between_on_line(sK0,sK3,sK4,sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f63,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ between_on_line(X1,intersection_point(X1,parallel_through_point(X2,X3)),intersection_point(X1,parallel_through_point(X2,X4)),intersection_point(X1,parallel_through_point(X2,X5)))
      & convergent_lines(X1,X2)
      & convergent_lines(X0,X2)
      & convergent_lines(X0,X1)
      & between_on_line(X0,X3,X4,X5) ),
    inference(flattening,[],[f62]) ).

fof(f62,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ between_on_line(X1,intersection_point(X1,parallel_through_point(X2,X3)),intersection_point(X1,parallel_through_point(X2,X4)),intersection_point(X1,parallel_through_point(X2,X5)))
      & convergent_lines(X1,X2)
      & convergent_lines(X0,X2)
      & convergent_lines(X0,X1)
      & between_on_line(X0,X3,X4,X5) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( convergent_lines(X1,X2)
          & convergent_lines(X0,X2)
          & convergent_lines(X0,X1)
          & between_on_line(X0,X3,X4,X5) )
       => between_on_line(X1,intersection_point(X1,parallel_through_point(X2,X3)),intersection_point(X1,parallel_through_point(X2,X4)),intersection_point(X1,parallel_through_point(X2,X5))) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X1,X2,X5,X0,X3,X4] :
        ( ( convergent_lines(X2,X5)
          & convergent_lines(X1,X5)
          & convergent_lines(X1,X2)
          & between_on_line(X1,X0,X3,X4) )
       => between_on_line(X2,intersection_point(X2,parallel_through_point(X5,X0)),intersection_point(X2,parallel_through_point(X5,X3)),intersection_point(X2,parallel_through_point(X5,X4))) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X1,X2,X5,X0,X3,X4] :
      ( ( convergent_lines(X2,X5)
        & convergent_lines(X1,X5)
        & convergent_lines(X1,X2)
        & between_on_line(X1,X0,X3,X4) )
     => between_on_line(X2,intersection_point(X2,parallel_through_point(X5,X0)),intersection_point(X2,parallel_through_point(X5,X3)),intersection_point(X2,parallel_through_point(X5,X4))) ),
    file('/export/starexec/sandbox2/tmp/tmp.UB20c1lXPk/Vampire---4.8_7308',con) ).

fof(f171,plain,
    ! [X0,X1] : ~ convergent_lines(X0,X1),
    inference(subsumption_resolution,[],[f169,f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) )
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f37]) ).

fof(f37,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/sandbox2/tmp/tmp.UB20c1lXPk/Vampire---4.8_7308',con_def) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(resolution,[],[f164,f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(subsumption_resolution,[],[f163,f157]) ).

fof(f157,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ left_convergent_lines(X0,reverse_line(X1))
      & ~ left_convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,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/sandbox2/tmp/tmp.UB20c1lXPk/Vampire---4.8_7308',oag11) ).

fof(f163,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(subsumption_resolution,[],[f159,f158]) ).

fof(f158,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f97]) ).

fof(f159,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(cnf_transformation,[],[f99]) ).

fof(f99,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,[],[f98]) ).

fof(f98,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,[],[f56]) ).

fof(f56,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/sandbox2/tmp/tmp.UB20c1lXPk/Vampire---4.8_7308',oag9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GEO263+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.12/0.15  % 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
% 0.16/0.36  % Computer : n015.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 19:18:18 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.16/0.36  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.UB20c1lXPk/Vampire---4.8_7308
% 0.62/0.84  % (7528)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 (2995ds/51Mi)
% 0.62/0.84  % (7534)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 (2995ds/56Mi)
% 0.62/0.84  % (7527)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 (2995ds/34Mi)
% 0.62/0.84  % (7529)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.84  % (7530)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.84  % (7532)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.84  % (7531)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 (2995ds/34Mi)
% 0.62/0.84  % (7533)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 (2995ds/83Mi)
% 0.62/0.84  % (7527)Refutation not found, incomplete strategy% (7527)------------------------------
% 0.62/0.84  % (7527)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84  % (7527)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.84  
% 0.62/0.84  % (7527)Memory used [KB]: 1056
% 0.62/0.84  % (7527)Time elapsed: 0.003 s
% 0.62/0.84  % (7527)Instructions burned: 3 (million)
% 0.62/0.84  % (7527)------------------------------
% 0.62/0.84  % (7527)------------------------------
% 0.62/0.84  % (7532)Refutation not found, incomplete strategy% (7532)------------------------------
% 0.62/0.84  % (7532)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84  % (7532)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.84  
% 0.62/0.84  % (7532)Memory used [KB]: 1062
% 0.62/0.84  % (7532)Time elapsed: 0.003 s
% 0.62/0.84  % (7532)Instructions burned: 3 (million)
% 0.62/0.84  % (7532)------------------------------
% 0.62/0.84  % (7532)------------------------------
% 0.62/0.84  % (7529)First to succeed.
% 0.62/0.84  % (7530)Refutation not found, incomplete strategy% (7530)------------------------------
% 0.62/0.84  % (7530)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84  % (7530)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.84  
% 0.62/0.84  % (7530)Memory used [KB]: 1060
% 0.62/0.84  % (7530)Time elapsed: 0.004 s
% 0.62/0.84  % (7530)Instructions burned: 4 (million)
% 0.62/0.84  % (7530)------------------------------
% 0.62/0.84  % (7530)------------------------------
% 0.62/0.84  % (7533)Also succeeded, but the first one will report.
% 0.62/0.85  % (7529)Refutation found. Thanks to Tanya!
% 0.62/0.85  % SZS status Theorem for Vampire---4
% 0.62/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.85  % (7529)------------------------------
% 0.62/0.85  % (7529)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85  % (7529)Termination reason: Refutation
% 0.62/0.85  
% 0.62/0.85  % (7529)Memory used [KB]: 1084
% 0.62/0.85  % (7529)Time elapsed: 0.005 s
% 0.62/0.85  % (7529)Instructions burned: 6 (million)
% 0.62/0.85  % (7529)------------------------------
% 0.62/0.85  % (7529)------------------------------
% 0.62/0.85  % (7491)Success in time 0.471 s
% 0.62/0.85  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.62/0.85  7491 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.UB20c1lXPk/Vampire---4.8_7308
% 0.62/0.85  % (7491)------------------------------
% 0.62/0.85  % (7491)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85  % (7491)Termination reason: Unknown
% 0.62/0.85  % (7491)Termination phase: Unknown
% 0.62/0.85  
% 0.62/0.85  % (7491)Memory used [KB]: 470
% 0.62/0.85  % (7491)Time elapsed: 0.472 s
% 0.62/0.85  % (7491)Instructions burned: 954 (million)
% 0.62/0.85  % (7491)------------------------------
% 0.62/0.85  % (7491)------------------------------
% 0.62/0.85  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85  ???
% 0.62/0.85   ???
% 0.62/0.85    ???
% 0.62/0.85     ???
% 0.62/0.85      ???
% 0.62/0.85       ???
% 0.62/0.85        ???
% 0.62/0.85         ???
% 0.62/0.85          ???
% 0.62/0.85           ???
% 0.62/0.85            ???
% 0.62/0.85             ???
% 0.62/0.85              ???
% 0.62/0.85               ???
% 0.62/0.85                ???
% 0.62/0.85                 ???
% 0.62/0.85                  ???
% 0.62/0.85                   ???
% 0.62/0.85                    ???
% 0.62/0.85                     ???
% 0.62/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------