TSTP Solution File: NUM463+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM463+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 : n028.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 03:31:21 EDT 2024

% Result   : Theorem 0.57s 0.80s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   91 (  11 unt;   0 def)
%            Number of atoms       :  315 (  69 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  403 ( 179   ~; 170   |;  36   &)
%                                         (   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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   65 (  63   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f777,plain,
    $false,
    inference(avatar_sat_refutation,[],[f150,f166,f267,f374,f545,f564,f595,f776]) ).

fof(f776,plain,
    ( ~ spl1_19
    | ~ spl1_20 ),
    inference(avatar_contradiction_clause,[],[f775]) ).

fof(f775,plain,
    ( $false
    | ~ spl1_19
    | ~ spl1_20 ),
    inference(subsumption_resolution,[],[f774,f82]) ).

fof(f82,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm) ),
    file('/export/starexec/sandbox/tmp/tmp.S7KMEpSG7T/Vampire---4.8_11953',m__987) ).

fof(f774,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ spl1_19
    | ~ spl1_20 ),
    inference(subsumption_resolution,[],[f771,f543]) ).

fof(f543,plain,
    ( sdtlseqdt0(xn,xn)
    | ~ spl1_20 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f542,plain,
    ( spl1_20
  <=> sdtlseqdt0(xn,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).

fof(f771,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | ~ aNaturalNumber0(xn)
    | ~ spl1_19 ),
    inference(superposition,[],[f600,f126]) ).

fof(f126,plain,
    ! [X0] :
      ( sdtasdt0(X0,sz10) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,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.S7KMEpSG7T/Vampire---4.8_11953',m_MulUnit) ).

fof(f600,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xn,sz10))
    | ~ spl1_19 ),
    inference(superposition,[],[f85,f540]) ).

fof(f540,plain,
    ( sz10 = xm
    | ~ spl1_19 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f538,plain,
    ( spl1_19
  <=> sz10 = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).

fof(f85,plain,
    ~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
    & ! [X0] :
        ( sdtpldt0(xn,X0) != sdtasdt0(xn,xm)
        | ~ aNaturalNumber0(X0) )
    & sz00 != xm ),
    inference(flattening,[],[f31]) ).

fof(f31,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
    & ! [X0] :
        ( sdtpldt0(xn,X0) != sdtasdt0(xn,xm)
        | ~ aNaturalNumber0(X0) )
    & sz00 != xm ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ( sz00 != xm
     => ( sdtlseqdt0(xn,sdtasdt0(xn,xm))
        | ? [X0] :
            ( sdtpldt0(xn,X0) = sdtasdt0(xn,xm)
            & aNaturalNumber0(X0) ) ) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ( sz00 != xm
   => ( sdtlseqdt0(xn,sdtasdt0(xn,xm))
      | ? [X0] :
          ( sdtpldt0(xn,X0) = sdtasdt0(xn,xm)
          & aNaturalNumber0(X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.S7KMEpSG7T/Vampire---4.8_11953',m__) ).

fof(f595,plain,
    spl1_20,
    inference(avatar_contradiction_clause,[],[f594]) ).

fof(f594,plain,
    ( $false
    | spl1_20 ),
    inference(subsumption_resolution,[],[f583,f82]) ).

fof(f583,plain,
    ( ~ aNaturalNumber0(xn)
    | spl1_20 ),
    inference(resolution,[],[f544,f137]) ).

fof(f137,plain,
    ! [X1] :
      ( sdtlseqdt0(X1,X1)
      | ~ aNaturalNumber0(X1) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X1] :
      ( sdtlseqdt0(X1,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X1) ),
    inference(equality_resolution,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( X0 != X1
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f47]) ).

fof(f47,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.S7KMEpSG7T/Vampire---4.8_11953',mLETotal) ).

fof(f544,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | spl1_20 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f564,plain,
    ( spl1_19
    | spl1_18 ),
    inference(avatar_split_clause,[],[f563,f534,f538]) ).

fof(f534,plain,
    ( spl1_18
  <=> sdtlseqdt0(sz10,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).

fof(f563,plain,
    ( sz10 = xm
    | spl1_18 ),
    inference(subsumption_resolution,[],[f562,f81]) ).

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

fof(f562,plain,
    ( sz10 = xm
    | ~ aNaturalNumber0(xm)
    | spl1_18 ),
    inference(subsumption_resolution,[],[f559,f83]) ).

fof(f83,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f32]) ).

fof(f559,plain,
    ( sz10 = xm
    | sz00 = xm
    | ~ aNaturalNumber0(xm)
    | spl1_18 ),
    inference(resolution,[],[f536,f87]) ).

fof(f87,plain,
    ! [X0] :
      ( sdtlseqdt0(sz10,X0)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ( sdtlseqdt0(sz10,X0)
        & sz10 != X0 )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f33]) ).

fof(f33,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.S7KMEpSG7T/Vampire---4.8_11953',mLENTr) ).

fof(f536,plain,
    ( ~ sdtlseqdt0(sz10,xm)
    | spl1_18 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f545,plain,
    ( ~ spl1_18
    | spl1_19
    | ~ spl1_20
    | ~ spl1_10 ),
    inference(avatar_split_clause,[],[f532,f265,f542,f538,f534]) ).

fof(f265,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(f532,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | sz10 = xm
    | ~ sdtlseqdt0(sz10,xm)
    | ~ spl1_10 ),
    inference(subsumption_resolution,[],[f531,f82]) ).

fof(f531,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | sz10 = xm
    | ~ sdtlseqdt0(sz10,xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl1_10 ),
    inference(subsumption_resolution,[],[f524,f101]) ).

fof(f101,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox/tmp/tmp.S7KMEpSG7T/Vampire---4.8_11953',mSortsC_01) ).

fof(f524,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | ~ aNaturalNumber0(sz10)
    | sz10 = xm
    | ~ sdtlseqdt0(sz10,xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl1_10 ),
    inference(duplicate_literal_removal,[],[f522]) ).

fof(f522,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | ~ aNaturalNumber0(sz10)
    | sz10 = xm
    | ~ sdtlseqdt0(sz10,xm)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xn)
    | ~ spl1_10 ),
    inference(superposition,[],[f266,f126]) ).

fof(f266,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(xn,sdtasdt0(xn,X0))
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(X0,xm)
        | ~ aNaturalNumber0(sdtasdt0(xn,X0)) )
    | ~ spl1_10 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f374,plain,
    ~ spl1_9,
    inference(avatar_contradiction_clause,[],[f373]) ).

fof(f373,plain,
    ( $false
    | ~ spl1_9 ),
    inference(subsumption_resolution,[],[f363,f103]) ).

fof(f103,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/tmp/tmp.S7KMEpSG7T/Vampire---4.8_11953',mSortsC) ).

fof(f363,plain,
    ( ~ aNaturalNumber0(sz00)
    | ~ spl1_9 ),
    inference(resolution,[],[f339,f137]) ).

fof(f339,plain,
    ( ~ sdtlseqdt0(sz00,sz00)
    | ~ spl1_9 ),
    inference(subsumption_resolution,[],[f338,f81]) ).

fof(f338,plain,
    ( ~ sdtlseqdt0(sz00,sz00)
    | ~ aNaturalNumber0(xm)
    | ~ spl1_9 ),
    inference(superposition,[],[f271,f98]) ).

fof(f98,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(sz00,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,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.S7KMEpSG7T/Vampire---4.8_11953',m_MulZero) ).

fof(f271,plain,
    ( ~ sdtlseqdt0(sz00,sdtasdt0(sz00,xm))
    | ~ spl1_9 ),
    inference(superposition,[],[f85,f263]) ).

fof(f263,plain,
    ( sz00 = xn
    | ~ spl1_9 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl1_9
  <=> sz00 = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

fof(f267,plain,
    ( spl1_9
    | spl1_10
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f259,f148,f265,f261]) ).

fof(f148,plain,
    ( spl1_2
  <=> ! [X0] :
        ( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f259,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,[],[f258,f82]) ).

fof(f258,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,[],[f231,f81]) ).

fof(f231,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,[],[f149,f89]) ).

fof(f89,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,[],[f36]) ).

fof(f36,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,[],[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(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.S7KMEpSG7T/Vampire---4.8_11953',mMonMul) ).

fof(f149,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(xn,X0) )
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f166,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f165]) ).

fof(f165,plain,
    ( $false
    | spl1_1 ),
    inference(subsumption_resolution,[],[f164,f82]) ).

fof(f164,plain,
    ( ~ aNaturalNumber0(xn)
    | spl1_1 ),
    inference(subsumption_resolution,[],[f160,f81]) ).

fof(f160,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | spl1_1 ),
    inference(resolution,[],[f146,f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f73]) ).

fof(f73,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.S7KMEpSG7T/Vampire---4.8_11953',mSortsB_02) ).

fof(f146,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | spl1_1 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl1_1
  <=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f150,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f142,f148,f144]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
      | ~ sdtlseqdt0(xn,X0)
      | ~ aNaturalNumber0(sdtasdt0(xn,xm))
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f138,f82]) ).

fof(f138,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
      | ~ sdtlseqdt0(xn,X0)
      | ~ aNaturalNumber0(sdtasdt0(xn,xm))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(xn) ),
    inference(resolution,[],[f85,f110]) ).

fof(f110,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f49]) ).

fof(f49,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.S7KMEpSG7T/Vampire---4.8_11953',mLETran) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NUM463+2 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n028.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   : Tue Apr 30 17:13:45 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.S7KMEpSG7T/Vampire---4.8_11953
% 0.54/0.74  % (12211)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)
% 0.54/0.74  % (12205)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)
% 0.54/0.74  % (12212)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)
% 0.54/0.74  % (12206)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)
% 0.54/0.74  % (12208)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)
% 0.54/0.74  % (12207)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74  % (12209)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)
% 0.54/0.74  % (12210)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)
% 0.57/0.76  % (12208)Instruction limit reached!
% 0.57/0.76  % (12208)------------------------------
% 0.57/0.76  % (12208)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (12208)Termination reason: Unknown
% 0.57/0.76  % (12208)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (12208)Memory used [KB]: 1413
% 0.57/0.76  % (12208)Time elapsed: 0.019 s
% 0.57/0.76  % (12208)Instructions burned: 33 (million)
% 0.57/0.76  % (12208)------------------------------
% 0.57/0.76  % (12208)------------------------------
% 0.57/0.76  % (12205)Instruction limit reached!
% 0.57/0.76  % (12205)------------------------------
% 0.57/0.76  % (12205)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (12205)Termination reason: Unknown
% 0.57/0.76  % (12205)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (12205)Memory used [KB]: 1313
% 0.57/0.76  % (12205)Time elapsed: 0.021 s
% 0.57/0.76  % (12205)Instructions burned: 34 (million)
% 0.57/0.76  % (12205)------------------------------
% 0.57/0.76  % (12205)------------------------------
% 0.57/0.76  % (12209)Instruction limit reached!
% 0.57/0.76  % (12209)------------------------------
% 0.57/0.76  % (12209)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (12209)Termination reason: Unknown
% 0.57/0.76  % (12209)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (12209)Memory used [KB]: 1456
% 0.57/0.76  % (12209)Time elapsed: 0.021 s
% 0.57/0.76  % (12209)Instructions burned: 35 (million)
% 0.57/0.76  % (12209)------------------------------
% 0.57/0.76  % (12209)------------------------------
% 0.57/0.76  % (12211)Instruction limit reached!
% 0.57/0.76  % (12211)------------------------------
% 0.57/0.76  % (12211)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (12211)Termination reason: Unknown
% 0.57/0.76  % (12211)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (12211)Memory used [KB]: 1459
% 0.57/0.76  % (12211)Time elapsed: 0.022 s
% 0.57/0.76  % (12211)Instructions burned: 85 (million)
% 0.57/0.76  % (12211)------------------------------
% 0.57/0.76  % (12211)------------------------------
% 0.57/0.76  % (12213)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 (2996ds/55Mi)
% 0.57/0.76  % (12215)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 (2996ds/208Mi)
% 0.57/0.77  % (12214)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 (2996ds/50Mi)
% 0.57/0.77  % (12216)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 (2996ds/52Mi)
% 0.57/0.77  % (12210)Instruction limit reached!
% 0.57/0.77  % (12210)------------------------------
% 0.57/0.77  % (12210)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (12210)Termination reason: Unknown
% 0.57/0.77  % (12210)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (12210)Memory used [KB]: 1497
% 0.57/0.77  % (12210)Time elapsed: 0.028 s
% 0.57/0.77  % (12210)Instructions burned: 45 (million)
% 0.57/0.77  % (12210)------------------------------
% 0.57/0.77  % (12210)------------------------------
% 0.57/0.77  % (12206)Instruction limit reached!
% 0.57/0.77  % (12206)------------------------------
% 0.57/0.77  % (12206)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (12206)Termination reason: Unknown
% 0.57/0.77  % (12206)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (12206)Memory used [KB]: 1631
% 0.57/0.77  % (12206)Time elapsed: 0.029 s
% 0.57/0.77  % (12206)Instructions burned: 51 (million)
% 0.57/0.77  % (12206)------------------------------
% 0.57/0.77  % (12206)------------------------------
% 0.57/0.77  % (12217)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 (2996ds/518Mi)
% 0.57/0.77  % (12218)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)
% 0.57/0.77  % (12212)Instruction limit reached!
% 0.57/0.77  % (12212)------------------------------
% 0.57/0.77  % (12212)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (12212)Termination reason: Unknown
% 0.57/0.77  % (12212)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (12212)Memory used [KB]: 1555
% 0.57/0.77  % (12212)Time elapsed: 0.034 s
% 0.57/0.77  % (12212)Instructions burned: 57 (million)
% 0.57/0.77  % (12212)------------------------------
% 0.57/0.77  % (12212)------------------------------
% 0.57/0.78  % (12219)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)
% 0.57/0.79  % (12207)Instruction limit reached!
% 0.57/0.79  % (12207)------------------------------
% 0.57/0.79  % (12207)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.79  % (12207)Termination reason: Unknown
% 0.57/0.79  % (12207)Termination phase: Saturation
% 0.57/0.79  
% 0.57/0.79  % (12207)Memory used [KB]: 1561
% 0.57/0.79  % (12207)Time elapsed: 0.046 s
% 0.57/0.79  % (12207)Instructions burned: 79 (million)
% 0.57/0.79  % (12207)------------------------------
% 0.57/0.79  % (12207)------------------------------
% 0.57/0.79  % (12214)Instruction limit reached!
% 0.57/0.79  % (12214)------------------------------
% 0.57/0.79  % (12214)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.79  % (12214)Termination reason: Unknown
% 0.57/0.79  % (12214)Termination phase: Saturation
% 0.57/0.79  
% 0.57/0.79  % (12214)Memory used [KB]: 1453
% 0.57/0.79  % (12214)Time elapsed: 0.047 s
% 0.57/0.79  % (12214)Instructions burned: 51 (million)
% 0.57/0.79  % (12214)------------------------------
% 0.57/0.79  % (12214)------------------------------
% 0.57/0.79  % (12220)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)
% 0.57/0.79  % (12213)Instruction limit reached!
% 0.57/0.79  % (12213)------------------------------
% 0.57/0.79  % (12213)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.79  % (12213)Termination reason: Unknown
% 0.57/0.79  % (12213)Termination phase: Saturation
% 0.57/0.79  
% 0.57/0.79  % (12213)Memory used [KB]: 1995
% 0.57/0.79  % (12213)Time elapsed: 0.030 s
% 0.57/0.79  % (12213)Instructions burned: 56 (million)
% 0.57/0.79  % (12213)------------------------------
% 0.57/0.79  % (12213)------------------------------
% 0.57/0.79  % (12221)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)
% 0.57/0.79  % (12218)Instruction limit reached!
% 0.57/0.79  % (12218)------------------------------
% 0.57/0.79  % (12218)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.79  % (12218)Termination reason: Unknown
% 0.57/0.79  % (12218)Termination phase: Saturation
% 0.57/0.79  
% 0.57/0.79  % (12218)Memory used [KB]: 1430
% 0.57/0.79  % (12218)Time elapsed: 0.023 s
% 0.57/0.79  % (12218)Instructions burned: 43 (million)
% 0.57/0.79  % (12218)------------------------------
% 0.57/0.79  % (12218)------------------------------
% 0.57/0.80  % (12217)First to succeed.
% 0.57/0.80  % (12222)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)
% 0.57/0.80  % (12216)Instruction limit reached!
% 0.57/0.80  % (12216)------------------------------
% 0.57/0.80  % (12216)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.80  % (12216)Termination reason: Unknown
% 0.57/0.80  % (12216)Termination phase: Saturation
% 0.57/0.80  
% 0.57/0.80  % (12216)Memory used [KB]: 1516
% 0.57/0.80  % (12216)Time elapsed: 0.054 s
% 0.57/0.80  % (12216)Instructions burned: 52 (million)
% 0.57/0.80  % (12216)------------------------------
% 0.57/0.80  % (12216)------------------------------
% 0.57/0.80  % (12223)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.57/0.80  % (12217)Refutation found. Thanks to Tanya!
% 0.57/0.80  % SZS status Theorem for Vampire---4
% 0.57/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.80  % (12217)------------------------------
% 0.57/0.80  % (12217)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.80  % (12217)Termination reason: Refutation
% 0.57/0.80  
% 0.57/0.80  % (12217)Memory used [KB]: 1383
% 0.57/0.80  % (12217)Time elapsed: 0.050 s
% 0.57/0.80  % (12217)Instructions burned: 42 (million)
% 0.57/0.80  % (12217)------------------------------
% 0.57/0.80  % (12217)------------------------------
% 0.57/0.80  % (12201)Success in time 0.437 s
% 0.57/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------