TSTP Solution File: GEO227+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO227+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 : n025.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 05:10:39 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   77 (  34   ~;  14   |;  23   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   22 (  16   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f86,plain,
    $false,
    inference(subsumption_resolution,[],[f85,f62]) ).

fof(f62,plain,
    line(sK0),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ( ~ unequally_directed_lines(sK0,reverse_line(sK1))
    & ~ unequally_directed_lines(sK0,sK1)
    & line(sK1)
    & line(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f48,f60]) ).

fof(f60,plain,
    ( ? [X0,X1] :
        ( ~ unequally_directed_lines(X0,reverse_line(X1))
        & ~ unequally_directed_lines(X0,X1)
        & line(X1)
        & line(X0) )
   => ( ~ unequally_directed_lines(sK0,reverse_line(sK1))
      & ~ unequally_directed_lines(sK0,sK1)
      & line(sK1)
      & line(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ? [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      & ~ unequally_directed_lines(X0,X1)
      & line(X1)
      & line(X0) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ? [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      & ~ unequally_directed_lines(X0,X1)
      & line(X1)
      & line(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0,X1] :
        ( ( line(X1)
          & line(X0) )
       => ~ ( ~ unequally_directed_lines(X0,reverse_line(X1))
            & ~ unequally_directed_lines(X0,X1) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X1,X2] :
        ( ( line(X2)
          & line(X1) )
       => ~ ( ~ unequally_directed_lines(X1,reverse_line(X2))
            & ~ unequally_directed_lines(X1,X2) ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X1,X2] :
      ( ( line(X2)
        & line(X1) )
     => ~ ( ~ unequally_directed_lines(X1,reverse_line(X2))
          & ~ unequally_directed_lines(X1,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.IdHF2X8IwF/Vampire---4.8_1389',con) ).

fof(f85,plain,
    ~ line(sK0),
    inference(subsumption_resolution,[],[f84,f63]) ).

fof(f63,plain,
    line(sK1),
    inference(cnf_transformation,[],[f61]) ).

fof(f84,plain,
    ( ~ line(sK1)
    | ~ line(sK0) ),
    inference(subsumption_resolution,[],[f81,f64]) ).

fof(f64,plain,
    ~ unequally_directed_lines(sK0,sK1),
    inference(cnf_transformation,[],[f61]) ).

fof(f81,plain,
    ( unequally_directed_lines(sK0,sK1)
    | ~ line(sK1)
    | ~ line(sK0) ),
    inference(resolution,[],[f67,f65]) ).

fof(f65,plain,
    ~ unequally_directed_lines(sK0,reverse_line(sK1)),
    inference(cnf_transformation,[],[f61]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ( line(X1)
        & line(X0) )
     => ( unequally_directed_lines(X0,reverse_line(X1))
        | unequally_directed_lines(X0,X1) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X1,X2] :
      ( ( line(X2)
        & line(X1) )
     => ( unequally_directed_lines(X1,reverse_line(X2))
        | unequally_directed_lines(X1,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.IdHF2X8IwF/Vampire---4.8_1389',oag8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO227+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n025.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 22:07:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36  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.IdHF2X8IwF/Vampire---4.8_1389
% 0.61/0.77  % (1547)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)
% 0.61/0.77  % (1550)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)
% 0.61/0.77  % (1551)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)
% 0.61/0.77  % (1549)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.77  % (1548)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)
% 0.61/0.77  % (1552)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)
% 0.61/0.77  % (1553)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)
% 0.61/0.77  % (1555)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)
% 0.61/0.77  % (1547)First to succeed.
% 0.61/0.77  % (1552)Also succeeded, but the first one will report.
% 0.61/0.77  % (1547)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1546"
% 0.61/0.77  % (1550)Also succeeded, but the first one will report.
% 0.61/0.77  % (1555)Also succeeded, but the first one will report.
% 0.61/0.77  % (1551)Also succeeded, but the first one will report.
% 0.61/0.77  % (1553)Also succeeded, but the first one will report.
% 0.61/0.77  % (1547)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (1547)------------------------------
% 0.61/0.77  % (1547)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (1547)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (1547)Memory used [KB]: 1057
% 0.61/0.77  % (1547)Time elapsed: 0.002 s
% 0.61/0.77  % (1547)Instructions burned: 3 (million)
% 0.61/0.77  % (1546)Success in time 0.408 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------