TSTP Solution File: NUM540+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM540+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 : 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 : Sun May  5 08:12:53 EDT 2024

% Result   : Theorem 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (  13 unt;   0 def)
%            Number of atoms       :   50 (  11 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   45 (  20   ~;  11   |;   6   &)
%                                         (   6 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (  22   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f244,plain,
    $false,
    inference(subsumption_resolution,[],[f225,f221]) ).

fof(f221,plain,
    sdtlseqdt0(szszuzczcdt0(sK2(sz00,slcrc0)),sz00),
    inference(unit_resulting_resolution,[],[f216,f142]) ).

fof(f142,plain,
    ! [X2,X0] :
      ( sdtlseqdt0(szszuzczcdt0(X2),X0)
      | ~ sP3(X2,X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1] :
          ( slbdtrb0(X0) = X1
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
              <=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
                  & aElementOf0(X2,szNzAzT0) ) )
            & aSet0(X1) ) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ! [X1] :
          ( slbdtrb0(X0) = X1
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
              <=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
                  & aElementOf0(X2,szNzAzT0) ) )
            & aSet0(X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.w7CotiGasU/Vampire---4.8_20620',mDefSeg) ).

fof(f216,plain,
    sP3(sK2(sz00,slcrc0),sz00),
    inference(unit_resulting_resolution,[],[f203,f138,f202,f123,f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ~ aSet0(X1)
      | sP3(sK2(X0,X1),X0)
      | aElementOf0(sK2(X0,X1),X1)
      | slbdtrb0(X0) = X1 ),
    inference(cnf_transformation,[],[f67]) ).

fof(f123,plain,
    slcrc0 != slbdtrb0(sz00),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    slcrc0 != slbdtrb0(sz00),
    inference(flattening,[],[f53]) ).

fof(f53,negated_conjecture,
    slcrc0 != slbdtrb0(sz00),
    inference(negated_conjecture,[],[f52]) ).

fof(f52,conjecture,
    slcrc0 = slbdtrb0(sz00),
    file('/export/starexec/sandbox2/tmp/tmp.w7CotiGasU/Vampire---4.8_20620',m__) ).

fof(f202,plain,
    ! [X1] : ~ aElementOf0(X1,slcrc0),
    inference(equality_resolution,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,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.w7CotiGasU/Vampire---4.8_20620',mDefEmp) ).

fof(f138,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/tmp.w7CotiGasU/Vampire---4.8_20620',mZeroNum) ).

fof(f203,plain,
    aSet0(slcrc0),
    inference(equality_resolution,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( aSet0(X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f225,plain,
    ~ sdtlseqdt0(szszuzczcdt0(sK2(sz00,slcrc0)),sz00),
    inference(unit_resulting_resolution,[],[f220,f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
    file('/export/starexec/sandbox2/tmp/tmp.w7CotiGasU/Vampire---4.8_20620',mNoScLessZr) ).

fof(f220,plain,
    aElementOf0(sK2(sz00,slcrc0),szNzAzT0),
    inference(unit_resulting_resolution,[],[f216,f141]) ).

fof(f141,plain,
    ! [X2,X0] :
      ( ~ sP3(X2,X0)
      | aElementOf0(X2,szNzAzT0) ),
    inference(cnf_transformation,[],[f67]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : NUM540+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15  % 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
% 0.16/0.36  % Computer : n008.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 14:23:08 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.w7CotiGasU/Vampire---4.8_20620
% 0.58/0.75  % (20909)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)
% 0.58/0.75  % (20903)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)
% 0.58/0.75  % (20904)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)
% 0.58/0.75  % (20905)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (20907)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)
% 0.58/0.75  % (20910)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)
% 0.58/0.75  % (20909)First to succeed.
% 0.58/0.75  % (20906)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)
% 0.58/0.75  % (20909)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20834"
% 0.58/0.75  % (20909)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Theorem for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (20909)------------------------------
% 0.58/0.75  % (20909)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (20909)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (20909)Memory used [KB]: 1144
% 0.58/0.75  % (20909)Time elapsed: 0.004 s
% 0.58/0.75  % (20909)Instructions burned: 8 (million)
% 0.58/0.75  % (20834)Success in time 0.376 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------