TSTP Solution File: NUM463+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM463+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 08:12:15 EDT 2024

% Result   : Theorem 0.63s 0.84s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   90 (  11 unt;   0 def)
%            Number of atoms       :  305 (  64 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  388 ( 173   ~; 166   |;  31   &)
%                                         (   7 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   8 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   61 (  61   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f634,plain,
    $false,
    inference(avatar_sat_refutation,[],[f148,f164,f233,f320,f447,f466,f497,f633]) ).

fof(f633,plain,
    ( ~ spl1_19
    | ~ spl1_20 ),
    inference(avatar_contradiction_clause,[],[f632]) ).

fof(f632,plain,
    ( $false
    | ~ spl1_19
    | ~ spl1_20 ),
    inference(subsumption_resolution,[],[f631,f81]) ).

fof(f81,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm) ),
    file('/export/starexec/sandbox/tmp/tmp.MLThxmyjRi/Vampire---4.8_8721',m__987) ).

fof(f631,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ spl1_19
    | ~ spl1_20 ),
    inference(subsumption_resolution,[],[f628,f445]) ).

fof(f445,plain,
    ( sdtlseqdt0(xn,xn)
    | ~ spl1_20 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f444,plain,
    ( spl1_20
  <=> sdtlseqdt0(xn,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).

fof(f628,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | ~ aNaturalNumber0(xn)
    | ~ spl1_19 ),
    inference(superposition,[],[f500,f119]) ).

fof(f119,plain,
    ! [X0] :
      ( sdtasdt0(X0,sz10) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.MLThxmyjRi/Vampire---4.8_8721',m_MulUnit) ).

fof(f500,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xn,sz10))
    | ~ spl1_19 ),
    inference(superposition,[],[f83,f442]) ).

fof(f442,plain,
    ( sz10 = xm
    | ~ spl1_19 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f440,plain,
    ( spl1_19
  <=> sz10 = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).

fof(f83,plain,
    ~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
    & sz00 != xm ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ( sz00 != xm
     => sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ( sz00 != xm
   => sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
    file('/export/starexec/sandbox/tmp/tmp.MLThxmyjRi/Vampire---4.8_8721',m__) ).

fof(f497,plain,
    spl1_20,
    inference(avatar_contradiction_clause,[],[f496]) ).

fof(f496,plain,
    ( $false
    | spl1_20 ),
    inference(subsumption_resolution,[],[f486,f81]) ).

fof(f486,plain,
    ( ~ aNaturalNumber0(xn)
    | spl1_20 ),
    inference(resolution,[],[f446,f135]) ).

fof(f135,plain,
    ! [X1] :
      ( sdtlseqdt0(X1,X1)
      | ~ aNaturalNumber0(X1) ),
    inference(duplicate_literal_removal,[],[f130]) ).

fof(f130,plain,
    ! [X1] :
      ( sdtlseqdt0(X1,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X1) ),
    inference(equality_resolution,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( X0 != X1
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f46]) ).

fof(f46,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.MLThxmyjRi/Vampire---4.8_8721',mLETotal) ).

fof(f446,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | spl1_20 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f466,plain,
    ( spl1_19
    | spl1_18 ),
    inference(avatar_split_clause,[],[f465,f436,f440]) ).

fof(f436,plain,
    ( spl1_18
  <=> sdtlseqdt0(sz10,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).

fof(f465,plain,
    ( sz10 = xm
    | spl1_18 ),
    inference(subsumption_resolution,[],[f464,f80]) ).

fof(f80,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f27]) ).

fof(f464,plain,
    ( sz10 = xm
    | ~ aNaturalNumber0(xm)
    | spl1_18 ),
    inference(subsumption_resolution,[],[f461,f82]) ).

fof(f82,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f31]) ).

fof(f461,plain,
    ( sz10 = xm
    | sz00 = xm
    | ~ aNaturalNumber0(xm)
    | spl1_18 ),
    inference(resolution,[],[f438,f85]) ).

fof(f85,plain,
    ! [X0] :
      ( sdtlseqdt0(sz10,X0)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ( sdtlseqdt0(sz10,X0)
        & sz10 != X0 )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f32]) ).

fof(f32,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.MLThxmyjRi/Vampire---4.8_8721',mLENTr) ).

fof(f438,plain,
    ( ~ sdtlseqdt0(sz10,xm)
    | spl1_18 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f447,plain,
    ( ~ spl1_18
    | spl1_19
    | ~ spl1_20
    | ~ spl1_10 ),
    inference(avatar_split_clause,[],[f434,f231,f444,f440,f436]) ).

fof(f231,plain,
    ( spl1_10
  <=> ! [X0] :
        ( ~ aNaturalNumber0(sdtasdt0(xn,X0))
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(X0,xm)
        | ~ sdtlseqdt0(xn,sdtasdt0(xn,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).

fof(f434,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | sz10 = xm
    | ~ sdtlseqdt0(sz10,xm)
    | ~ spl1_10 ),
    inference(subsumption_resolution,[],[f433,f81]) ).

fof(f433,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | sz10 = xm
    | ~ sdtlseqdt0(sz10,xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl1_10 ),
    inference(subsumption_resolution,[],[f426,f99]) ).

fof(f99,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox/tmp/tmp.MLThxmyjRi/Vampire---4.8_8721',mSortsC_01) ).

fof(f426,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | ~ aNaturalNumber0(sz10)
    | sz10 = xm
    | ~ sdtlseqdt0(sz10,xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl1_10 ),
    inference(duplicate_literal_removal,[],[f424]) ).

fof(f424,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | ~ aNaturalNumber0(sz10)
    | sz10 = xm
    | ~ sdtlseqdt0(sz10,xm)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xn)
    | ~ spl1_10 ),
    inference(superposition,[],[f232,f119]) ).

fof(f232,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(xn,sdtasdt0(xn,X0))
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(X0,xm)
        | ~ aNaturalNumber0(sdtasdt0(xn,X0)) )
    | ~ spl1_10 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f320,plain,
    ~ spl1_9,
    inference(avatar_contradiction_clause,[],[f319]) ).

fof(f319,plain,
    ( $false
    | ~ spl1_9 ),
    inference(subsumption_resolution,[],[f309,f101]) ).

fof(f101,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/tmp/tmp.MLThxmyjRi/Vampire---4.8_8721',mSortsC) ).

fof(f309,plain,
    ( ~ aNaturalNumber0(sz00)
    | ~ spl1_9 ),
    inference(resolution,[],[f285,f135]) ).

fof(f285,plain,
    ( ~ sdtlseqdt0(sz00,sz00)
    | ~ spl1_9 ),
    inference(subsumption_resolution,[],[f284,f80]) ).

fof(f284,plain,
    ( ~ sdtlseqdt0(sz00,sz00)
    | ~ aNaturalNumber0(xm)
    | ~ spl1_9 ),
    inference(superposition,[],[f236,f96]) ).

fof(f96,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(sz00,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MLThxmyjRi/Vampire---4.8_8721',m_MulZero) ).

fof(f236,plain,
    ( ~ sdtlseqdt0(sz00,sdtasdt0(sz00,xm))
    | ~ spl1_9 ),
    inference(superposition,[],[f83,f229]) ).

fof(f229,plain,
    ( sz00 = xn
    | ~ spl1_9 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl1_9
  <=> sz00 = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

fof(f233,plain,
    ( spl1_9
    | spl1_10
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f225,f146,f231,f227]) ).

fof(f146,plain,
    ( spl1_2
  <=> ! [X0] :
        ( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f225,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(sdtasdt0(xn,X0))
        | ~ sdtlseqdt0(xn,sdtasdt0(xn,X0))
        | ~ sdtlseqdt0(X0,xm)
        | xm = X0
        | sz00 = xn
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f224,f81]) ).

fof(f224,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(sdtasdt0(xn,X0))
        | ~ sdtlseqdt0(xn,sdtasdt0(xn,X0))
        | ~ sdtlseqdt0(X0,xm)
        | xm = X0
        | sz00 = xn
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f197,f80]) ).

fof(f197,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(sdtasdt0(xn,X0))
        | ~ sdtlseqdt0(xn,sdtasdt0(xn,X0))
        | ~ sdtlseqdt0(X0,xm)
        | xm = X0
        | sz00 = xn
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_2 ),
    inference(resolution,[],[f147,f87]) ).

fof(f87,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & X1 != X2
          & sz00 != X0 )
       => ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
          & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
          & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
          & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MLThxmyjRi/Vampire---4.8_8721',mMonMul) ).

fof(f147,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(xn,X0) )
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f164,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f163]) ).

fof(f163,plain,
    ( $false
    | spl1_1 ),
    inference(subsumption_resolution,[],[f162,f81]) ).

fof(f162,plain,
    ( ~ aNaturalNumber0(xn)
    | spl1_1 ),
    inference(subsumption_resolution,[],[f158,f80]) ).

fof(f158,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | spl1_1 ),
    inference(resolution,[],[f144,f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.MLThxmyjRi/Vampire---4.8_8721',mSortsB_02) ).

fof(f144,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | spl1_1 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl1_1
  <=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f148,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f140,f146,f142]) ).

fof(f140,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
      | ~ sdtlseqdt0(xn,X0)
      | ~ aNaturalNumber0(sdtasdt0(xn,xm))
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f136,f81]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
      | ~ sdtlseqdt0(xn,X0)
      | ~ aNaturalNumber0(sdtasdt0(xn,xm))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(xn) ),
    inference(resolution,[],[f83,f108]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MLThxmyjRi/Vampire---4.8_8721',mLETran) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : NUM463+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % 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
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 15:26:23 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33  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.MLThxmyjRi/Vampire---4.8_8721
% 0.57/0.79  % (8835)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)
% 0.57/0.79  % (8833)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)
% 0.57/0.79  % (8834)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)
% 0.57/0.79  % (8830)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)
% 0.57/0.79  % (8837)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)
% 0.57/0.79  % (8832)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.79  % (8836)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)
% 0.63/0.79  % (8831)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)
% 0.63/0.81  % (8830)Instruction limit reached!
% 0.63/0.81  % (8830)------------------------------
% 0.63/0.81  % (8830)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (8830)Termination reason: Unknown
% 0.63/0.81  % (8830)Termination phase: Saturation
% 0.63/0.81  
% 0.63/0.81  % (8830)Memory used [KB]: 1336
% 0.63/0.81  % (8830)Time elapsed: 0.019 s
% 0.63/0.81  % (8830)Instructions burned: 34 (million)
% 0.63/0.81  % (8830)------------------------------
% 0.63/0.81  % (8830)------------------------------
% 0.63/0.81  % (8834)Instruction limit reached!
% 0.63/0.81  % (8834)------------------------------
% 0.63/0.81  % (8834)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (8834)Termination reason: Unknown
% 0.63/0.81  % (8834)Termination phase: Saturation
% 0.63/0.81  
% 0.63/0.81  % (8834)Memory used [KB]: 1410
% 0.63/0.81  % (8834)Time elapsed: 0.019 s
% 0.63/0.81  % (8834)Instructions burned: 36 (million)
% 0.63/0.81  % (8834)------------------------------
% 0.63/0.81  % (8834)------------------------------
% 0.63/0.81  % (8839)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.63/0.81  % (8838)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.63/0.82  % (8835)Instruction limit reached!
% 0.63/0.82  % (8835)------------------------------
% 0.63/0.82  % (8835)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (8835)Termination reason: Unknown
% 0.63/0.82  % (8835)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (8835)Memory used [KB]: 1547
% 0.63/0.82  % (8835)Time elapsed: 0.027 s
% 0.63/0.82  % (8837)Instruction limit reached!
% 0.63/0.82  % (8837)------------------------------
% 0.63/0.82  % (8837)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (8835)Instructions burned: 46 (million)
% 0.63/0.82  % (8835)------------------------------
% 0.63/0.82  % (8835)------------------------------
% 0.63/0.82  % (8837)Termination reason: Unknown
% 0.63/0.82  % (8837)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (8837)Memory used [KB]: 1553
% 0.63/0.82  % (8837)Time elapsed: 0.028 s
% 0.63/0.82  % (8837)Instructions burned: 57 (million)
% 0.63/0.82  % (8837)------------------------------
% 0.63/0.82  % (8837)------------------------------
% 0.63/0.82  % (8833)Instruction limit reached!
% 0.63/0.82  % (8833)------------------------------
% 0.63/0.82  % (8833)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (8833)Termination reason: Unknown
% 0.63/0.82  % (8833)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (8833)Memory used [KB]: 1579
% 0.63/0.82  % (8833)Time elapsed: 0.019 s
% 0.63/0.82  % (8833)Instructions burned: 33 (million)
% 0.63/0.82  % (8833)------------------------------
% 0.63/0.82  % (8833)------------------------------
% 0.63/0.82  % (8831)Instruction limit reached!
% 0.63/0.82  % (8831)------------------------------
% 0.63/0.82  % (8831)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (8831)Termination reason: Unknown
% 0.63/0.82  % (8831)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (8831)Memory used [KB]: 1837
% 0.63/0.82  % (8831)Time elapsed: 0.031 s
% 0.63/0.82  % (8840)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.63/0.82  % (8831)Instructions burned: 52 (million)
% 0.63/0.82  % (8831)------------------------------
% 0.63/0.82  % (8831)------------------------------
% 0.63/0.82  % (8841)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.63/0.82  % (8842)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.63/0.82  % (8843)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.63/0.82  % (8836)Instruction limit reached!
% 0.63/0.82  % (8836)------------------------------
% 0.63/0.82  % (8836)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (8836)Termination reason: Unknown
% 0.63/0.82  % (8836)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (8836)Memory used [KB]: 1592
% 0.63/0.82  % (8836)Time elapsed: 0.036 s
% 0.63/0.82  % (8836)Instructions burned: 84 (million)
% 0.63/0.82  % (8836)------------------------------
% 0.63/0.82  % (8836)------------------------------
% 0.63/0.83  % (8844)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.63/0.83  % (8832)Instruction limit reached!
% 0.63/0.83  % (8832)------------------------------
% 0.63/0.83  % (8832)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.83  % (8832)Termination reason: Unknown
% 0.63/0.83  % (8832)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (8832)Memory used [KB]: 1607
% 0.63/0.83  % (8832)Time elapsed: 0.042 s
% 0.63/0.83  % (8832)Instructions burned: 78 (million)
% 0.63/0.83  % (8832)------------------------------
% 0.63/0.83  % (8832)------------------------------
% 0.63/0.83  % (8839)Instruction limit reached!
% 0.63/0.83  % (8839)------------------------------
% 0.63/0.83  % (8839)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.83  % (8839)Termination reason: Unknown
% 0.63/0.83  % (8839)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (8839)Memory used [KB]: 1440
% 0.63/0.83  % (8839)Time elapsed: 0.024 s
% 0.63/0.83  % (8839)Instructions burned: 50 (million)
% 0.63/0.83  % (8839)------------------------------
% 0.63/0.83  % (8839)------------------------------
% 0.63/0.83  % (8845)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.63/0.84  % (8846)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.63/0.84  % (8838)Instruction limit reached!
% 0.63/0.84  % (8838)------------------------------
% 0.63/0.84  % (8838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.84  % (8838)Termination reason: Unknown
% 0.63/0.84  % (8838)Termination phase: Saturation
% 0.63/0.84  
% 0.63/0.84  % (8838)Memory used [KB]: 1995
% 0.63/0.84  % (8838)Time elapsed: 0.028 s
% 0.63/0.84  % (8838)Instructions burned: 56 (million)
% 0.63/0.84  % (8838)------------------------------
% 0.63/0.84  % (8838)------------------------------
% 0.63/0.84  % (8842)First to succeed.
% 0.63/0.84  % (8842)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8829"
% 0.63/0.84  % (8847)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.63/0.84  % (8842)Refutation found. Thanks to Tanya!
% 0.63/0.84  % SZS status Theorem for Vampire---4
% 0.63/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.84  % (8842)------------------------------
% 0.63/0.84  % (8842)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.84  % (8842)Termination reason: Refutation
% 0.63/0.84  
% 0.63/0.84  % (8842)Memory used [KB]: 1365
% 0.63/0.84  % (8842)Time elapsed: 0.019 s
% 0.63/0.84  % (8842)Instructions burned: 35 (million)
% 0.63/0.84  % (8829)Success in time 0.499 s
% 0.63/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------