TSTP Solution File: SEU121+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU121+2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 03:50:08 EDT 2024

% Result   : Theorem 0.74s 0.92s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (   8 unt;   0 def)
%            Number of atoms       :   68 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   70 (  27   ~;  16   |;  20   &)
%                                         (   2 <=>;   5  =>;   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    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   44 (  32   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f193,plain,
    $false,
    inference(subsumption_resolution,[],[f189,f111]) ).

fof(f111,plain,
    in(sK1(sK5,sK7),sK5),
    inference(resolution,[],[f83,f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sK1(X0,X1),X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK1(X0,X1),X1)
          & in(sK1(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f41,f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK1(X0,X1),X1)
        & in(sK1(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.u2cnG8vYiB/Vampire---4.8_9537',d3_tarski) ).

fof(f83,plain,
    ~ subset(sK5,sK7),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ~ subset(sK5,sK7)
    & subset(sK6,sK7)
    & subset(sK5,sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f30,f54]) ).

fof(f54,plain,
    ( ? [X0,X1,X2] :
        ( ~ subset(X0,X2)
        & subset(X1,X2)
        & subset(X0,X1) )
   => ( ~ subset(sK5,sK7)
      & subset(sK6,sK7)
      & subset(sK5,sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ? [X0,X1,X2] :
      ( ~ subset(X0,X2)
      & subset(X1,X2)
      & subset(X0,X1) ),
    inference(flattening,[],[f29]) ).

fof(f29,plain,
    ? [X0,X1,X2] :
      ( ~ subset(X0,X2)
      & subset(X1,X2)
      & subset(X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( subset(X1,X2)
          & subset(X0,X1) )
       => subset(X0,X2) ),
    inference(negated_conjecture,[],[f15]) ).

fof(f15,conjecture,
    ! [X0,X1,X2] :
      ( ( subset(X1,X2)
        & subset(X0,X1) )
     => subset(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.u2cnG8vYiB/Vampire---4.8_9537',t1_xboole_1) ).

fof(f189,plain,
    ~ in(sK1(sK5,sK7),sK5),
    inference(resolution,[],[f170,f109]) ).

fof(f109,plain,
    ! [X0] :
      ( in(X0,sK6)
      | ~ in(X0,sK5) ),
    inference(resolution,[],[f81,f64]) ).

fof(f64,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | ~ in(X3,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f81,plain,
    subset(sK5,sK6),
    inference(cnf_transformation,[],[f55]) ).

fof(f170,plain,
    ~ in(sK1(sK5,sK7),sK6),
    inference(resolution,[],[f110,f112]) ).

fof(f112,plain,
    ~ in(sK1(sK5,sK7),sK7),
    inference(resolution,[],[f83,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ in(sK1(X0,X1),X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f110,plain,
    ! [X0] :
      ( in(X0,sK7)
      | ~ in(X0,sK6) ),
    inference(resolution,[],[f82,f64]) ).

fof(f82,plain,
    subset(sK6,sK7),
    inference(cnf_transformation,[],[f55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SEU121+2 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.11  % 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
% 0.10/0.32  % Computer : n008.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Apr 30 16:13:57 EDT 2024
% 0.16/0.32  % CPUTime    : 
% 0.16/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.32  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.u2cnG8vYiB/Vampire---4.8_9537
% 0.16/0.33  ipcrm: permission denied for id (1668120576)
% 0.16/0.33  ipcrm: permission denied for id (1701117953)
% 0.16/0.33  ipcrm: permission denied for id (1668186114)
% 0.16/0.33  ipcrm: permission denied for id (1701675012)
% 0.16/0.33  ipcrm: permission denied for id (1668546565)
% 0.16/0.34  ipcrm: permission denied for id (1668644870)
% 0.16/0.34  ipcrm: permission denied for id (1668677639)
% 0.16/0.34  ipcrm: permission denied for id (1668808712)
% 0.16/0.34  ipcrm: permission denied for id (1685848073)
% 0.16/0.34  ipcrm: permission denied for id (1686011914)
% 0.16/0.34  ipcrm: permission denied for id (1669136395)
% 0.16/0.34  ipcrm: permission denied for id (1686470668)
% 0.16/0.34  ipcrm: permission denied for id (1701249037)
% 0.16/0.34  ipcrm: permission denied for id (1669365774)
% 0.16/0.34  ipcrm: permission denied for id (1707671567)
% 0.16/0.35  ipcrm: permission denied for id (1669431313)
% 0.16/0.35  ipcrm: permission denied for id (1686667282)
% 0.16/0.35  ipcrm: permission denied for id (1701871635)
% 0.16/0.35  ipcrm: permission denied for id (1669726228)
% 0.16/0.35  ipcrm: permission denied for id (1669857301)
% 0.16/0.35  ipcrm: permission denied for id (1686863894)
% 0.16/0.35  ipcrm: permission denied for id (1687060503)
% 0.16/0.35  ipcrm: permission denied for id (1687486488)
% 0.16/0.35  ipcrm: permission denied for id (1702133785)
% 0.16/0.35  ipcrm: permission denied for id (1670152218)
% 0.16/0.35  ipcrm: permission denied for id (1670184987)
% 0.16/0.35  ipcrm: permission denied for id (1702264860)
% 0.16/0.36  ipcrm: permission denied for id (1687617565)
% 0.16/0.36  ipcrm: permission denied for id (1670348830)
% 0.16/0.36  ipcrm: permission denied for id (1670414367)
% 0.16/0.36  ipcrm: permission denied for id (1687552032)
% 0.16/0.36  ipcrm: permission denied for id (1670545441)
% 0.16/0.36  ipcrm: permission denied for id (1687814178)
% 0.16/0.36  ipcrm: permission denied for id (1670807587)
% 0.16/0.36  ipcrm: permission denied for id (1687715876)
% 0.16/0.36  ipcrm: permission denied for id (1670971429)
% 0.16/0.36  ipcrm: permission denied for id (1671102502)
% 0.16/0.36  ipcrm: permission denied for id (1671168039)
% 0.16/0.37  ipcrm: permission denied for id (1671200808)
% 0.16/0.37  ipcrm: permission denied for id (1671233577)
% 0.16/0.37  ipcrm: permission denied for id (1671299114)
% 0.16/0.37  ipcrm: permission denied for id (1671364651)
% 0.16/0.37  ipcrm: permission denied for id (1671462956)
% 0.16/0.37  ipcrm: permission denied for id (1671594029)
% 0.16/0.37  ipcrm: permission denied for id (1671626798)
% 0.16/0.37  ipcrm: permission denied for id (1702363183)
% 0.16/0.37  ipcrm: permission denied for id (1671692336)
% 0.16/0.37  ipcrm: permission denied for id (1702920241)
% 0.16/0.37  ipcrm: permission denied for id (1671856178)
% 0.16/0.37  ipcrm: permission denied for id (1672183859)
% 0.16/0.38  ipcrm: permission denied for id (1688043572)
% 0.16/0.38  ipcrm: permission denied for id (1672347701)
% 0.16/0.38  ipcrm: permission denied for id (1702821942)
% 0.16/0.38  ipcrm: permission denied for id (1688305719)
% 0.16/0.38  ipcrm: permission denied for id (1673101368)
% 0.16/0.38  ipcrm: permission denied for id (1707475001)
% 0.16/0.38  ipcrm: permission denied for id (1673199674)
% 0.16/0.38  ipcrm: permission denied for id (1688371259)
% 0.16/0.38  ipcrm: permission denied for id (1688502332)
% 0.16/0.38  ipcrm: permission denied for id (1688797245)
% 0.16/0.38  ipcrm: permission denied for id (1703084094)
% 0.16/0.39  ipcrm: permission denied for id (1673855039)
% 0.16/0.39  ipcrm: permission denied for id (1673920576)
% 0.16/0.39  ipcrm: permission denied for id (1689092161)
% 0.16/0.39  ipcrm: permission denied for id (1706819650)
% 0.16/0.39  ipcrm: permission denied for id (1674477635)
% 0.16/0.39  ipcrm: permission denied for id (1674248260)
% 0.16/0.39  ipcrm: permission denied for id (1674870853)
% 0.16/0.39  ipcrm: permission denied for id (1675460678)
% 0.16/0.39  ipcrm: permission denied for id (1690599495)
% 0.16/0.39  ipcrm: permission denied for id (1675591752)
% 0.16/0.39  ipcrm: permission denied for id (1675657289)
% 0.16/0.40  ipcrm: permission denied for id (1675984970)
% 0.16/0.40  ipcrm: permission denied for id (1676968011)
% 0.16/0.40  ipcrm: permission denied for id (1678377037)
% 0.16/0.40  ipcrm: permission denied for id (1678573646)
% 0.16/0.40  ipcrm: permission denied for id (1680277583)
% 0.16/0.40  ipcrm: permission denied for id (1679622225)
% 0.16/0.40  ipcrm: permission denied for id (1691025490)
% 0.16/0.40  ipcrm: permission denied for id (1704624212)
% 0.16/0.40  ipcrm: permission denied for id (1681883221)
% 0.16/0.41  ipcrm: permission denied for id (1691713622)
% 0.16/0.41  ipcrm: permission denied for id (1692041303)
% 0.16/0.41  ipcrm: permission denied for id (1692893272)
% 0.16/0.41  ipcrm: permission denied for id (1692532825)
% 0.16/0.41  ipcrm: permission denied for id (1707737178)
% 0.16/0.41  ipcrm: permission denied for id (1682047067)
% 0.16/0.41  ipcrm: permission denied for id (1693253724)
% 0.16/0.41  ipcrm: permission denied for id (1682112605)
% 0.16/0.41  ipcrm: permission denied for id (1693188190)
% 0.16/0.41  ipcrm: permission denied for id (1693712479)
% 0.16/0.41  ipcrm: permission denied for id (1682309216)
% 0.16/0.41  ipcrm: permission denied for id (1682374753)
% 0.16/0.42  ipcrm: permission denied for id (1693810786)
% 0.16/0.42  ipcrm: permission denied for id (1694400611)
% 0.16/0.42  ipcrm: permission denied for id (1682473060)
% 0.16/0.42  ipcrm: permission denied for id (1682669669)
% 0.16/0.42  ipcrm: permission denied for id (1694466150)
% 0.16/0.42  ipcrm: permission denied for id (1682800743)
% 0.16/0.42  ipcrm: permission denied for id (1695023208)
% 0.16/0.42  ipcrm: permission denied for id (1696039017)
% 0.16/0.42  ipcrm: permission denied for id (1696825450)
% 0.16/0.42  ipcrm: permission denied for id (1698431084)
% 0.16/0.43  ipcrm: permission denied for id (1683718253)
% 0.16/0.43  ipcrm: permission denied for id (1683652718)
% 0.16/0.43  ipcrm: permission denied for id (1683849327)
% 0.16/0.43  ipcrm: permission denied for id (1697939568)
% 0.16/0.43  ipcrm: permission denied for id (1706885233)
% 0.16/0.43  ipcrm: permission denied for id (1683914866)
% 0.16/0.43  ipcrm: permission denied for id (1698660467)
% 0.16/0.43  ipcrm: permission denied for id (1707835508)
% 0.16/0.43  ipcrm: permission denied for id (1684111477)
% 0.16/0.43  ipcrm: permission denied for id (1698988150)
% 0.16/0.43  ipcrm: permission denied for id (1699479671)
% 0.16/0.43  ipcrm: permission denied for id (1699086456)
% 0.16/0.44  ipcrm: permission denied for id (1684832377)
% 0.16/0.44  ipcrm: permission denied for id (1684930682)
% 0.16/0.44  ipcrm: permission denied for id (1700429947)
% 0.16/0.44  ipcrm: permission denied for id (1685192828)
% 0.16/0.44  ipcrm: permission denied for id (1700692093)
% 0.16/0.44  ipcrm: permission denied for id (1706983550)
% 0.16/0.44  ipcrm: permission denied for id (1700757631)
% 0.74/0.92  % (9783)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 (2994ds/51Mi)
% 0.74/0.92  % (9784)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.74/0.92  % (9782)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 (2994ds/34Mi)
% 0.74/0.92  % (9785)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.74/0.92  % (9786)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 (2994ds/34Mi)
% 0.74/0.92  % (9787)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.74/0.92  % (9788)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 (2994ds/83Mi)
% 0.74/0.92  % (9789)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 (2994ds/56Mi)
% 0.74/0.92  % (9786)First to succeed.
% 0.74/0.92  % (9788)Also succeeded, but the first one will report.
% 0.74/0.92  % (9786)Refutation found. Thanks to Tanya!
% 0.74/0.92  % SZS status Theorem for Vampire---4
% 0.74/0.92  % SZS output start Proof for Vampire---4
% See solution above
% 0.74/0.92  % (9786)------------------------------
% 0.74/0.92  % (9786)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.92  % (9786)Termination reason: Refutation
% 0.74/0.92  
% 0.74/0.92  % (9786)Memory used [KB]: 1057
% 0.74/0.92  % (9786)Time elapsed: 0.004 s
% 0.74/0.92  % (9786)Instructions burned: 5 (million)
% 0.74/0.92  % (9786)------------------------------
% 0.74/0.92  % (9786)------------------------------
% 0.74/0.92  % (9646)Success in time 0.599 s
% 0.74/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------