TSTP Solution File: NUM605+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM605+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : n009.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 03:32:26 EDT 2024

% Result   : Theorem 0.65s 0.81s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   38 (   8 unt;   0 def)
%            Number of atoms       :  101 (  39 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  106 (  43   ~;  31   |;  23   &)
%                                         (   6 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   30 (  22   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f988,plain,
    $false,
    inference(avatar_sat_refutation,[],[f931,f984,f987]) ).

fof(f987,plain,
    spl55_1,
    inference(avatar_contradiction_clause,[],[f986]) ).

fof(f986,plain,
    ( $false
    | spl55_1 ),
    inference(resolution,[],[f918,f847]) ).

fof(f847,plain,
    aSet0(xQ),
    inference(equality_resolution,[],[f829]) ).

fof(f829,plain,
    ! [X0] :
      ( aSet0(X0)
      | xQ != X0 ),
    inference(definition_unfolding,[],[f431,f826]) ).

fof(f826,plain,
    slcrc0 = xQ,
    inference(cnf_transformation,[],[f251]) ).

fof(f251,plain,
    ( slcrc0 = xQ
    & ! [X0] : ~ aElementOf0(X0,xQ) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f121,plain,
    ( slcrc0 = xQ
    & ~ ? [X0] : aElementOf0(X0,xQ) ),
    inference(flattening,[],[f101]) ).

fof(f101,negated_conjecture,
    ~ ~ ( slcrc0 = xQ
        & ~ ? [X0] : aElementOf0(X0,xQ) ),
    inference(negated_conjecture,[],[f100]) ).

fof(f100,conjecture,
    ~ ( slcrc0 = xQ
      & ~ ? [X0] : aElementOf0(X0,xQ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ggryG2U2oY/Vampire---4.8_27439',m__) ).

fof(f431,plain,
    ! [X0] :
      ( aSet0(X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f270]) ).

fof(f270,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | aElementOf0(sK9(X0),X0)
        | ~ aSet0(X0) )
      & ( ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f268,f269]) ).

fof(f269,plain,
    ! [X0] :
      ( ? [X1] : aElementOf0(X1,X0)
     => aElementOf0(sK9(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f268,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(rectify,[],[f267]) ).

fof(f267,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(flattening,[],[f266]) ).

fof(f266,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( slcrc0 = X0
    <=> ( ! [X1] : ~ aElementOf0(X1,X0)
        & aSet0(X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( slcrc0 = X0
    <=> ( ~ ? [X1] : aElementOf0(X1,X0)
        & aSet0(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ggryG2U2oY/Vampire---4.8_27439',mDefEmp) ).

fof(f918,plain,
    ( ~ aSet0(xQ)
    | spl55_1 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f916,plain,
    ( spl55_1
  <=> aSet0(xQ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_1])]) ).

fof(f984,plain,
    ~ spl55_3,
    inference(avatar_contradiction_clause,[],[f983]) ).

fof(f983,plain,
    ( $false
    | ~ spl55_3 ),
    inference(trivial_inequality_removal,[],[f982]) ).

fof(f982,plain,
    ( xK != xK
    | ~ spl55_3 ),
    inference(superposition,[],[f635,f945]) ).

fof(f945,plain,
    ( sz00 = xK
    | ~ spl55_3 ),
    inference(forward_demodulation,[],[f930,f823]) ).

fof(f823,plain,
    xK = sbrdtbr0(xQ),
    inference(cnf_transformation,[],[f250]) ).

fof(f250,plain,
    ( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
    & xK = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,xO)
    & ! [X0] :
        ( aElementOf0(X0,xO)
        | ~ aElementOf0(X0,xQ) )
    & aSet0(xQ) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,axiom,
    ( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
    & xK = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,xO)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,xO) )
    & aSet0(xQ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ggryG2U2oY/Vampire---4.8_27439',m__5078) ).

fof(f930,plain,
    ( sz00 = sbrdtbr0(xQ)
    | ~ spl55_3 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f928,plain,
    ( spl55_3
  <=> sz00 = sbrdtbr0(xQ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_3])]) ).

fof(f635,plain,
    sz00 != xK,
    inference(cnf_transformation,[],[f78]) ).

fof(f78,axiom,
    sz00 != xK,
    file('/export/starexec/sandbox2/tmp/tmp.ggryG2U2oY/Vampire---4.8_27439',m__3462) ).

fof(f931,plain,
    ( ~ spl55_1
    | spl55_3 ),
    inference(avatar_split_clause,[],[f861,f928,f916]) ).

fof(f861,plain,
    ( sz00 = sbrdtbr0(xQ)
    | ~ aSet0(xQ) ),
    inference(equality_resolution,[],[f832]) ).

fof(f832,plain,
    ! [X0] :
      ( sz00 = sbrdtbr0(X0)
      | xQ != X0
      | ~ aSet0(X0) ),
    inference(definition_unfolding,[],[f492,f826]) ).

fof(f492,plain,
    ! [X0] :
      ( sz00 = sbrdtbr0(X0)
      | slcrc0 != X0
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f290]) ).

fof(f290,plain,
    ! [X0] :
      ( ( ( sz00 = sbrdtbr0(X0)
          | slcrc0 != X0 )
        & ( slcrc0 = X0
          | sz00 != sbrdtbr0(X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f172]) ).

fof(f172,plain,
    ! [X0] :
      ( ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ggryG2U2oY/Vampire---4.8_27439',mCardEmpty) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : NUM605+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % 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
% 0.15/0.35  % Computer : n009.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 16:42:11 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ 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.ggryG2U2oY/Vampire---4.8_27439
% 0.61/0.79  % (27698)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)
% 0.61/0.79  % (27695)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)
% 0.61/0.79  % (27694)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)
% 0.61/0.79  % (27696)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79  % (27697)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)
% 0.61/0.79  % (27699)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)
% 0.61/0.79  % (27700)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)
% 0.61/0.79  % (27701)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)
% 0.61/0.80  % (27698)Instruction limit reached!
% 0.61/0.80  % (27698)------------------------------
% 0.61/0.80  % (27698)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (27698)Termination reason: Unknown
% 0.61/0.80  % (27698)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (27698)Memory used [KB]: 1840
% 0.61/0.80  % (27698)Time elapsed: 0.018 s
% 0.61/0.80  % (27698)Instructions burned: 34 (million)
% 0.61/0.80  % (27698)------------------------------
% 0.61/0.80  % (27698)------------------------------
% 0.65/0.81  % (27695)First to succeed.
% 0.65/0.81  % (27709)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.65/0.81  % (27695)Refutation found. Thanks to Tanya!
% 0.65/0.81  % SZS status Theorem for Vampire---4
% 0.65/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.81  % (27695)------------------------------
% 0.65/0.81  % (27695)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81  % (27695)Termination reason: Refutation
% 0.65/0.81  
% 0.65/0.81  % (27695)Memory used [KB]: 1659
% 0.65/0.81  % (27695)Time elapsed: 0.022 s
% 0.65/0.81  % (27695)Instructions burned: 37 (million)
% 0.65/0.81  % (27695)------------------------------
% 0.65/0.81  % (27695)------------------------------
% 0.65/0.81  % (27627)Success in time 0.434 s
% 0.65/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------