TSTP Solution File: NUM464+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM464+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 : Wed May  1 03:31:22 EDT 2024

% Result   : Theorem 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (   9 unt;   0 def)
%            Number of atoms       :   67 (  23 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   70 (  29   ~;  27   |;  10   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f140,plain,
    $false,
    inference(subsumption_resolution,[],[f137,f136]) ).

fof(f136,plain,
    sdtlseqdt0(sz10,sz10),
    inference(forward_demodulation,[],[f135,f130]) ).

fof(f130,plain,
    sz10 = xm,
    inference(subsumption_resolution,[],[f129,f76]) ).

fof(f76,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm) ),
    file('/export/starexec/sandbox2/tmp/tmp.0hFTLX7kST/Vampire---4.8_27833',m__987) ).

fof(f129,plain,
    ( sz10 = xm
    | ~ aNaturalNumber0(xm) ),
    inference(subsumption_resolution,[],[f126,f78]) ).

fof(f78,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( ~ sdtlseqdt0(sz10,xm)
    & sz00 != xm ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ( sz00 != xm
     => sdtlseqdt0(sz10,xm) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ( sz00 != xm
   => sdtlseqdt0(sz10,xm) ),
    file('/export/starexec/sandbox2/tmp/tmp.0hFTLX7kST/Vampire---4.8_27833',m__) ).

fof(f126,plain,
    ( sz10 = xm
    | sz00 = xm
    | ~ aNaturalNumber0(xm) ),
    inference(resolution,[],[f79,f86]) ).

fof(f86,plain,
    ! [X0] :
      ( sdtlseqdt0(sz10,X0)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ( sdtlseqdt0(sz10,X0)
        & sz10 != X0 )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ( sdtlseqdt0(sz10,X0)
        & sz10 != X0 )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( ( sdtlseqdt0(sz10,X0)
          & sz10 != X0 )
        | sz10 = X0
        | sz00 = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0hFTLX7kST/Vampire---4.8_27833',mLENTr) ).

fof(f79,plain,
    ~ sdtlseqdt0(sz10,xm),
    inference(cnf_transformation,[],[f31]) ).

fof(f135,plain,
    sdtlseqdt0(xm,sz10),
    inference(subsumption_resolution,[],[f134,f76]) ).

fof(f134,plain,
    ( sdtlseqdt0(xm,sz10)
    | ~ aNaturalNumber0(xm) ),
    inference(subsumption_resolution,[],[f128,f89]) ).

fof(f89,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox2/tmp/tmp.0hFTLX7kST/Vampire---4.8_27833',mSortsC_01) ).

fof(f128,plain,
    ( sdtlseqdt0(xm,sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xm) ),
    inference(resolution,[],[f79,f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & X0 != X1 )
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0hFTLX7kST/Vampire---4.8_27833',mLETotal) ).

fof(f137,plain,
    ~ sdtlseqdt0(sz10,sz10),
    inference(superposition,[],[f79,f130]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : NUM464+1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.32  % Computer : n017.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Apr 30 16:20:04 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.32  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.0hFTLX7kST/Vampire---4.8_27833
% 0.61/0.80  % (27946)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)
% 0.61/0.80  % (27942)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)
% 0.61/0.80  % (27945)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)
% 0.61/0.80  % (27947)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)
% 0.61/0.80  % (27944)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80  % (27943)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)
% 0.61/0.80  % (27948)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)
% 0.61/0.80  % (27949)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  % (27947)First to succeed.
% 0.61/0.80  % (27945)Also succeeded, but the first one will report.
% 0.61/0.80  % (27944)Also succeeded, but the first one will report.
% 0.61/0.80  % (27947)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Theorem for Vampire---4
% 0.61/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80  % (27947)------------------------------
% 0.61/0.80  % (27947)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (27947)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (27947)Memory used [KB]: 1053
% 0.61/0.80  % (27947)Time elapsed: 0.004 s
% 0.61/0.80  % (27947)Instructions burned: 5 (million)
% 0.61/0.80  % (27947)------------------------------
% 0.61/0.80  % (27947)------------------------------
% 0.61/0.80  % (27941)Success in time 0.474 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------