TSTP Solution File: NUM548+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM548+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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 03:31:59 EDT 2024

% Result   : Theorem 0.65s 0.82s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  10 unt;   0 def)
%            Number of atoms       :   41 (   3 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   37 (  14   ~;  10   |;   9   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f278,plain,
    $false,
    inference(subsumption_resolution,[],[f277,f185]) ).

fof(f185,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & xk = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,xS)
    & ! [X0] :
        ( aElementOf0(X0,xS)
        | ~ aElementOf0(X0,xQ) )
    & aSet0(xQ) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,axiom,
    ( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & xk = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,xS)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,xS) )
    & aSet0(xQ) ),
    file('/export/starexec/sandbox/tmp/tmp.UxxLBMARTN/Vampire---4.8_15544',m__2270) ).

fof(f277,plain,
    ~ aSet0(xQ),
    inference(subsumption_resolution,[],[f276,f190]) ).

fof(f190,plain,
    ~ isFinite0(xQ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ~ isFinite0(xQ),
    inference(flattening,[],[f67]) ).

fof(f67,negated_conjecture,
    ~ isFinite0(xQ),
    inference(negated_conjecture,[],[f66]) ).

fof(f66,conjecture,
    isFinite0(xQ),
    file('/export/starexec/sandbox/tmp/tmp.UxxLBMARTN/Vampire---4.8_15544',m__) ).

fof(f276,plain,
    ( isFinite0(xQ)
    | ~ aSet0(xQ) ),
    inference(subsumption_resolution,[],[f270,f153]) ).

fof(f153,plain,
    aElementOf0(xk,szNzAzT0),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,axiom,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox/tmp/tmp.UxxLBMARTN/Vampire---4.8_15544',m__2202) ).

fof(f270,plain,
    ( ~ aElementOf0(xk,szNzAzT0)
    | isFinite0(xQ)
    | ~ aSet0(xQ) ),
    inference(superposition,[],[f215,f188]) ).

fof(f188,plain,
    xk = sbrdtbr0(xQ),
    inference(cnf_transformation,[],[f79]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
      | isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0] :
      ( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
          | ~ isFinite0(X0) )
        & ( isFinite0(X0)
          | ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
      <=> isFinite0(X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
      <=> isFinite0(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.UxxLBMARTN/Vampire---4.8_15544',mCardNum) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : NUM548+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % 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
% 0.11/0.32  % Computer : n019.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 16:55:29 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33  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/tmp/tmp.UxxLBMARTN/Vampire---4.8_15544
% 0.65/0.82  % (15656)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)
% 0.65/0.82  % (15653)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)
% 0.65/0.82  % (15655)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.82  % (15657)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)
% 0.65/0.82  % (15658)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)
% 0.65/0.82  % (15654)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)
% 0.65/0.82  % (15659)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)
% 0.65/0.82  % (15660)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)
% 0.65/0.82  % (15658)First to succeed.
% 0.65/0.82  % (15656)Also succeeded, but the first one will report.
% 0.65/0.82  % (15658)Refutation found. Thanks to Tanya!
% 0.65/0.82  % SZS status Theorem for Vampire---4
% 0.65/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.82  % (15658)------------------------------
% 0.65/0.82  % (15658)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (15658)Termination reason: Refutation
% 0.65/0.82  
% 0.65/0.82  % (15658)Memory used [KB]: 1146
% 0.65/0.82  % (15658)Time elapsed: 0.006 s
% 0.65/0.82  % (15658)Instructions burned: 7 (million)
% 0.65/0.82  % (15658)------------------------------
% 0.65/0.82  % (15658)------------------------------
% 0.65/0.82  % (15652)Success in time 0.489 s
% 0.65/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------