TSTP Solution File: NUM464+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM464+2 : 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 : n026.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 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (   9 unt;   0 def)
%            Number of atoms       :   77 (  28 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   85 (  35   ~;  31   |;  15   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   16 (  14   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f142,plain,
    $false,
    inference(subsumption_resolution,[],[f139,f138]) ).

fof(f138,plain,
    sdtlseqdt0(sz10,sz10),
    inference(forward_demodulation,[],[f137,f132]) ).

fof(f132,plain,
    sz10 = xm,
    inference(subsumption_resolution,[],[f131,f77]) ).

fof(f77,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm) ),
    file('/export/starexec/sandbox/tmp/tmp.fEuhLgXERL/Vampire---4.8_16035',m__987) ).

fof(f131,plain,
    ( sz10 = xm
    | ~ aNaturalNumber0(xm) ),
    inference(subsumption_resolution,[],[f128,f79]) ).

fof(f79,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( ~ sdtlseqdt0(sz10,xm)
    & ! [X0] :
        ( xm != sdtpldt0(sz10,X0)
        | ~ aNaturalNumber0(X0) )
    & sz00 != xm ),
    inference(flattening,[],[f31]) ).

fof(f31,plain,
    ( ~ sdtlseqdt0(sz10,xm)
    & ! [X0] :
        ( xm != sdtpldt0(sz10,X0)
        | ~ aNaturalNumber0(X0) )
    & sz00 != xm ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ( sz00 != xm
     => ( sdtlseqdt0(sz10,xm)
        | ? [X0] :
            ( xm = sdtpldt0(sz10,X0)
            & aNaturalNumber0(X0) ) ) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ( sz00 != xm
   => ( sdtlseqdt0(sz10,xm)
      | ? [X0] :
          ( xm = sdtpldt0(sz10,X0)
          & aNaturalNumber0(X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.fEuhLgXERL/Vampire---4.8_16035',m__) ).

fof(f128,plain,
    ( sz10 = xm
    | sz00 = xm
    | ~ aNaturalNumber0(xm) ),
    inference(resolution,[],[f81,f88]) ).

fof(f88,plain,
    ! [X0] :
      ( sdtlseqdt0(sz10,X0)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ( sdtlseqdt0(sz10,X0)
        & sz10 != X0 )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f36]) ).

fof(f36,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/sandbox/tmp/tmp.fEuhLgXERL/Vampire---4.8_16035',mLENTr) ).

fof(f81,plain,
    ~ sdtlseqdt0(sz10,xm),
    inference(cnf_transformation,[],[f32]) ).

fof(f137,plain,
    sdtlseqdt0(xm,sz10),
    inference(subsumption_resolution,[],[f136,f77]) ).

fof(f136,plain,
    ( sdtlseqdt0(xm,sz10)
    | ~ aNaturalNumber0(xm) ),
    inference(subsumption_resolution,[],[f130,f91]) ).

fof(f91,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox/tmp/tmp.fEuhLgXERL/Vampire---4.8_16035',mSortsC_01) ).

fof(f130,plain,
    ( sdtlseqdt0(xm,sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xm) ),
    inference(resolution,[],[f81,f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f41]) ).

fof(f41,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/sandbox/tmp/tmp.fEuhLgXERL/Vampire---4.8_16035',mLETotal) ).

fof(f139,plain,
    ~ sdtlseqdt0(sz10,sz10),
    inference(superposition,[],[f81,f132]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : NUM464+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % 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
% 0.16/0.36  % Computer : n026.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   : Tue Apr 30 17:16:34 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  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.fEuhLgXERL/Vampire---4.8_16035
% 0.55/0.73  % (16293)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)
% 0.55/0.73  % (16287)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)
% 0.55/0.73  % (16288)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)
% 0.55/0.73  % (16290)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)
% 0.55/0.73  % (16289)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73  % (16292)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)
% 0.55/0.73  % (16294)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)
% 0.55/0.73  % (16291)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)
% 0.55/0.74  % (16292)First to succeed.
% 0.55/0.74  % (16290)Also succeeded, but the first one will report.
% 0.55/0.74  % (16292)Refutation found. Thanks to Tanya!
% 0.55/0.74  % SZS status Theorem for Vampire---4
% 0.55/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.74  % (16292)------------------------------
% 0.55/0.74  % (16292)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (16292)Termination reason: Refutation
% 0.55/0.74  
% 0.55/0.74  % (16292)Memory used [KB]: 1054
% 0.55/0.74  % (16292)Time elapsed: 0.004 s
% 0.55/0.74  % (16292)Instructions burned: 5 (million)
% 0.55/0.74  % (16292)------------------------------
% 0.55/0.74  % (16292)------------------------------
% 0.55/0.74  % (16283)Success in time 0.367 s
% 0.55/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------