TSTP Solution File: NUM550+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM550+1 : 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 : n017.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 08:12:57 EDT 2024

% Result   : Theorem 0.12s 0.60s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  10 unt;   0 def)
%            Number of atoms       :   35 (  23 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   31 (  14   ~;   9   |;   5   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f300,plain,
    $false,
    inference(subsumption_resolution,[],[f299,f184]) ).

fof(f184,plain,
    sz00 != xk,
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    ( sz00 != xk
    & aSet0(xT)
    & aSet0(xS) ),
    file('/export/starexec/sandbox2/tmp/tmp.G72AXHcUC4/Vampire---4.8_26705',m__2202_02) ).

fof(f299,plain,
    sz00 = xk,
    inference(backward_demodulation,[],[f191,f298]) ).

fof(f298,plain,
    sz00 = sbrdtbr0(xQ),
    inference(subsumption_resolution,[],[f285,f189]) ).

fof(f189,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,axiom,
    ( xk = sbrdtbr0(xQ)
    & isFinite0(xQ)
    & aSet0(xQ) ),
    file('/export/starexec/sandbox2/tmp/tmp.G72AXHcUC4/Vampire---4.8_26705',m__2291) ).

fof(f285,plain,
    ( sz00 = sbrdtbr0(xQ)
    | ~ aSet0(xQ) ),
    inference(equality_resolution,[],[f277]) ).

fof(f277,plain,
    ! [X0] :
      ( sz00 = sbrdtbr0(X0)
      | xQ != X0
      | ~ aSet0(X0) ),
    inference(definition_unfolding,[],[f194,f192]) ).

fof(f192,plain,
    slcrc0 = xQ,
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    slcrc0 = xQ,
    inference(flattening,[],[f68]) ).

fof(f68,negated_conjecture,
    ~ ( slcrc0 != xQ ),
    inference(negated_conjecture,[],[f67]) ).

fof(f67,conjecture,
    slcrc0 != xQ,
    file('/export/starexec/sandbox2/tmp/tmp.G72AXHcUC4/Vampire---4.8_26705',m__) ).

fof(f194,plain,
    ! [X0] :
      ( sz00 = sbrdtbr0(X0)
      | slcrc0 != X0
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0] :
      ( ( ( sz00 = sbrdtbr0(X0)
          | slcrc0 != X0 )
        & ( slcrc0 = X0
          | sz00 != sbrdtbr0(X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f75]) ).

fof(f75,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.G72AXHcUC4/Vampire---4.8_26705',mCardEmpty) ).

fof(f191,plain,
    xk = sbrdtbr0(xQ),
    inference(cnf_transformation,[],[f66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : NUM550+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.08  % 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
% 0.07/0.26  % Computer : n017.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit   : 300
% 0.07/0.27  % WCLimit    : 300
% 0.07/0.27  % DateTime   : Fri May  3 14:21:22 EDT 2024
% 0.07/0.27  % CPUTime    : 
% 0.07/0.27  This is a FOF_THM_RFO_SEQ problem
% 0.07/0.27  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.G72AXHcUC4/Vampire---4.8_26705
% 0.12/0.59  % (26957)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.12/0.59  % (26962)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)
% 0.12/0.60  % (26955)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)
% 0.12/0.60  % (26956)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)
% 0.12/0.60  % (26958)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)
% 0.12/0.60  % (26959)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)
% 0.12/0.60  % (26957)First to succeed.
% 0.12/0.60  % (26957)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26904"
% 0.12/0.60  % (26957)Refutation found. Thanks to Tanya!
% 0.12/0.60  % SZS status Theorem for Vampire---4
% 0.12/0.60  % SZS output start Proof for Vampire---4
% See solution above
% 0.12/0.60  % (26957)------------------------------
% 0.12/0.60  % (26957)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.60  % (26957)Termination reason: Refutation
% 0.12/0.60  
% 0.12/0.60  % (26957)Memory used [KB]: 1137
% 0.12/0.60  % (26957)Time elapsed: 0.003 s
% 0.12/0.60  % (26957)Instructions burned: 6 (million)
% 0.12/0.60  % (26904)Success in time 0.325 s
% 0.12/0.60  % Vampire---4.8 exiting
%------------------------------------------------------------------------------