TSTP Solution File: NUM458+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM458+2 : TPTP v8.2.0. 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 : n016.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 : Tue May 21 01:42:22 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   45 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  17   ~;  14   |;   5   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   5   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f112,plain,
    $false,
    inference(avatar_sat_refutation,[],[f107,f109,f111]) ).

fof(f111,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f110]) ).

fof(f110,plain,
    ( $false
    | spl1_1 ),
    inference(resolution,[],[f102,f90]) ).

fof(f90,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,axiom,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__718) ).

fof(f102,plain,
    ( ~ aNaturalNumber0(xm)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl1_1
  <=> aNaturalNumber0(xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f109,plain,
    spl1_2,
    inference(avatar_contradiction_clause,[],[f108]) ).

fof(f108,plain,
    ( $false
    | spl1_2 ),
    inference(resolution,[],[f106,f60]) ).

fof(f60,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).

fof(f106,plain,
    ( ~ aNaturalNumber0(sz00)
    | spl1_2 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f104,plain,
    ( spl1_2
  <=> aNaturalNumber0(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f107,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f98,f104,f100]) ).

fof(f98,plain,
    ( ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm) ),
    inference(trivial_inequality_removal,[],[f97]) ).

fof(f97,plain,
    ( xm != xm
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm) ),
    inference(superposition,[],[f91,f67]) ).

fof(f67,plain,
    ! [X0] :
      ( sdtpldt0(X0,sz00) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).

fof(f91,plain,
    ! [X0] :
      ( xm != sdtpldt0(xm,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ~ sdtlseqdt0(xm,xm)
    & ! [X0] :
        ( xm != sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,negated_conjecture,
    ~ ( sdtlseqdt0(xm,xm)
      | ? [X0] :
          ( xm = sdtpldt0(xm,X0)
          & aNaturalNumber0(X0) ) ),
    inference(negated_conjecture,[],[f21]) ).

fof(f21,conjecture,
    ( sdtlseqdt0(xm,xm)
    | ? [X0] :
        ( xm = sdtpldt0(xm,X0)
        & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NUM458+2 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14  % 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
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 04:13:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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/benchmark/theBenchmark.p
% 0.55/0.76  % (7859)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.61/0.76  % (7859)Refutation not found, incomplete strategy% (7859)------------------------------
% 0.61/0.76  % (7859)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (7859)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (7859)Memory used [KB]: 957
% 0.61/0.76  % (7859)Time elapsed: 0.002 s
% 0.61/0.76  % (7859)Instructions burned: 2 (million)
% 0.61/0.76  % (7859)------------------------------
% 0.61/0.76  % (7859)------------------------------
% 0.61/0.76  % (7856)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 theBenchmark for (2996ds/34Mi)
% 0.61/0.76  % (7853)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 theBenchmark for (2996ds/51Mi)
% 0.61/0.76  % (7852)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 theBenchmark for (2996ds/34Mi)
% 0.61/0.76  % (7857)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.61/0.76  % (7858)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 theBenchmark for (2996ds/83Mi)
% 0.61/0.76  % (7854)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.61/0.76  % (7855)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.61/0.76  % (7856)Refutation not found, incomplete strategy% (7856)------------------------------
% 0.61/0.76  % (7856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (7856)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (7856)Memory used [KB]: 1047
% 0.61/0.76  % (7856)Time elapsed: 0.003 s
% 0.61/0.76  % (7856)Instructions burned: 4 (million)
% 0.61/0.76  % (7856)------------------------------
% 0.61/0.76  % (7856)------------------------------
% 0.61/0.76  % (7853)First to succeed.
% 0.61/0.76  % (7853)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7692"
% 0.61/0.77  % (7858)Also succeeded, but the first one will report.
% 0.61/0.77  % (7853)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for theBenchmark
% 0.61/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.77  % (7853)------------------------------
% 0.61/0.77  % (7853)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (7853)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (7853)Memory used [KB]: 1061
% 0.61/0.77  % (7853)Time elapsed: 0.005 s
% 0.61/0.77  % (7853)Instructions burned: 4 (million)
% 0.61/0.77  % (7692)Success in time 0.397 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------