TSTP Solution File: NUM550+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM550+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 : n004.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 03:32:00 EDT 2024

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   49 (  25 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   48 (  19   ~;  10   |;  15   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (   8   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f228,plain,
    $false,
    inference(subsumption_resolution,[],[f227,f135]) ).

fof(f135,plain,
    sz00 != xk,
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    ( sz00 != xk
    & aSet0(xT)
    & aSet0(xS) ),
    file('/export/starexec/sandbox2/tmp/tmp.yoV5GlTy2j/Vampire---4.8_22948',m__2202_02) ).

fof(f227,plain,
    sz00 = xk,
    inference(forward_demodulation,[],[f226,f167]) ).

fof(f167,plain,
    xk = sbrdtbr0(xQ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,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/sandbox2/tmp/tmp.yoV5GlTy2j/Vampire---4.8_22948',m__2270) ).

fof(f226,plain,
    sz00 = sbrdtbr0(xQ),
    inference(subsumption_resolution,[],[f218,f164]) ).

fof(f164,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f75]) ).

fof(f218,plain,
    ( sz00 = sbrdtbr0(xQ)
    | ~ aSet0(xQ) ),
    inference(equality_resolution,[],[f211]) ).

fof(f211,plain,
    ! [X0] :
      ( sz00 = sbrdtbr0(X0)
      | xQ != X0
      | ~ aSet0(X0) ),
    inference(definition_unfolding,[],[f175,f173]) ).

fof(f173,plain,
    slcrc0 = xQ,
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( slcrc0 = xQ
    & ! [X0] : ~ aElementOf0(X0,xQ) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ( slcrc0 = xQ
    & ~ ? [X0] : aElementOf0(X0,xQ) ),
    inference(flattening,[],[f68]) ).

fof(f68,negated_conjecture,
    ~ ~ ( slcrc0 = xQ
        & ~ ? [X0] : aElementOf0(X0,xQ) ),
    inference(negated_conjecture,[],[f67]) ).

fof(f67,conjecture,
    ~ ( slcrc0 = xQ
      & ~ ? [X0] : aElementOf0(X0,xQ) ),
    file('/export/starexec/sandbox2/tmp/tmp.yoV5GlTy2j/Vampire---4.8_22948',m__) ).

fof(f175,plain,
    ! [X0] :
      ( sz00 = sbrdtbr0(X0)
      | slcrc0 != X0
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( ( ( sz00 = sbrdtbr0(X0)
          | slcrc0 != X0 )
        & ( slcrc0 = X0
          | sz00 != sbrdtbr0(X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f77]) ).

fof(f77,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.yoV5GlTy2j/Vampire---4.8_22948',mCardEmpty) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM550+3 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.16/0.35  % Computer : n004.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Tue Apr 30 16:47:03 EDT 2024
% 0.16/0.35  % CPUTime    : 
% 0.16/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.35  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.yoV5GlTy2j/Vampire---4.8_22948
% 0.57/0.73  % (23299)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 (2996ds/56Mi)
% 0.57/0.74  % (23293)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 (2996ds/51Mi)
% 0.57/0.74  % (23292)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 (2996ds/34Mi)
% 0.57/0.74  % (23294)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (23295)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74  % (23296)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 (2996ds/34Mi)
% 0.57/0.74  % (23298)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 (2996ds/83Mi)
% 0.57/0.74  % (23297)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.74  % (23295)First to succeed.
% 0.57/0.74  % (23297)Also succeeded, but the first one will report.
% 0.57/0.74  % (23294)Also succeeded, but the first one will report.
% 0.57/0.74  % (23295)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Theorem for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74  % (23295)------------------------------
% 0.57/0.74  % (23295)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (23295)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (23295)Memory used [KB]: 1137
% 0.57/0.74  % (23295)Time elapsed: 0.005 s
% 0.57/0.74  % (23295)Instructions burned: 6 (million)
% 0.57/0.74  % (23295)------------------------------
% 0.57/0.74  % (23295)------------------------------
% 0.57/0.74  % (23137)Success in time 0.375 s
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------