TSTP Solution File: NUM494+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM494+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 : 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 : Sun May  5 08:12:30 EDT 2024

% Result   : Theorem 0.63s 0.85s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   85 (  14 unt;   0 def)
%            Number of atoms       :  265 (  57 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  314 ( 134   ~; 133   |;  29   &)
%                                         (  10 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   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   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f853,plain,
    $false,
    inference(avatar_sat_refutation,[],[f241,f355,f399,f488,f496,f580,f635,f850]) ).

fof(f850,plain,
    ( ~ spl4_2
    | ~ spl4_16
    | ~ spl4_17
    | spl4_18 ),
    inference(avatar_contradiction_clause,[],[f846]) ).

fof(f846,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_16
    | ~ spl4_17
    | spl4_18 ),
    inference(unit_resulting_resolution,[],[f138,f345,f341,f240,f349,f163]) ).

fof(f163,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
      | X1 = X2
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        & sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        & sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
          | sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.rD1aaXJ1Ym/Vampire---4.8_5440',mAddCanc) ).

fof(f349,plain,
    ( sdtpldt0(xn,xm) != sdtpldt0(sdtmndt0(xn,xp),xm)
    | spl4_18 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f348,plain,
    ( spl4_18
  <=> sdtpldt0(xn,xm) = sdtpldt0(sdtmndt0(xn,xp),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).

fof(f240,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtmndt0(xn,xp),xm),xp)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl4_2
  <=> sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtmndt0(xn,xp),xm),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f341,plain,
    ( aNaturalNumber0(sdtpldt0(sdtmndt0(xn,xp),xm))
    | ~ spl4_16 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f340,plain,
    ( spl4_16
  <=> aNaturalNumber0(sdtpldt0(sdtmndt0(xn,xp),xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

fof(f345,plain,
    ( aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f344,plain,
    ( spl4_17
  <=> aNaturalNumber0(sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

fof(f138,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/tmp/tmp.rD1aaXJ1Ym/Vampire---4.8_5440',m__1837) ).

fof(f635,plain,
    ( ~ spl4_11
    | ~ spl4_18 ),
    inference(avatar_contradiction_clause,[],[f602]) ).

fof(f602,plain,
    ( $false
    | ~ spl4_11
    | ~ spl4_18 ),
    inference(unit_resulting_resolution,[],[f137,f136,f304,f292,f350,f163]) ).

fof(f350,plain,
    ( sdtpldt0(xn,xm) = sdtpldt0(sdtmndt0(xn,xp),xm)
    | ~ spl4_18 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f292,plain,
    xn != sdtmndt0(xn,xp),
    inference(superposition,[],[f144,f143]) ).

fof(f143,plain,
    xr = sdtmndt0(xn,xp),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    xr = sdtmndt0(xn,xp),
    file('/export/starexec/sandbox/tmp/tmp.rD1aaXJ1Ym/Vampire---4.8_5440',m__1883) ).

fof(f144,plain,
    xn != xr,
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    ( sdtlseqdt0(xr,xn)
    & xn != xr ),
    file('/export/starexec/sandbox/tmp/tmp.rD1aaXJ1Ym/Vampire---4.8_5440',m__1894) ).

fof(f304,plain,
    ( aNaturalNumber0(sdtmndt0(xn,xp))
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f303,plain,
    ( spl4_11
  <=> aNaturalNumber0(sdtmndt0(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

fof(f136,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f39]) ).

fof(f137,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f39]) ).

fof(f580,plain,
    ( ~ spl4_11
    | spl4_19 ),
    inference(avatar_contradiction_clause,[],[f579]) ).

fof(f579,plain,
    ( $false
    | ~ spl4_11
    | spl4_19 ),
    inference(subsumption_resolution,[],[f578,f304]) ).

fof(f578,plain,
    ( ~ aNaturalNumber0(sdtmndt0(xn,xp))
    | spl4_19 ),
    inference(subsumption_resolution,[],[f577,f136]) ).

fof(f577,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sdtmndt0(xn,xp))
    | spl4_19 ),
    inference(subsumption_resolution,[],[f576,f292]) ).

fof(f576,plain,
    ( xn = sdtmndt0(xn,xp)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sdtmndt0(xn,xp))
    | spl4_19 ),
    inference(subsumption_resolution,[],[f575,f229]) ).

fof(f229,plain,
    sdtlseqdt0(sdtmndt0(xn,xp),xn),
    inference(forward_demodulation,[],[f145,f143]) ).

fof(f145,plain,
    sdtlseqdt0(xr,xn),
    inference(cnf_transformation,[],[f44]) ).

fof(f575,plain,
    ( ~ sdtlseqdt0(sdtmndt0(xn,xp),xn)
    | xn = sdtmndt0(xn,xp)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sdtmndt0(xn,xp))
    | spl4_19 ),
    inference(subsumption_resolution,[],[f568,f137]) ).

fof(f568,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ sdtlseqdt0(sdtmndt0(xn,xp),xn)
    | xn = sdtmndt0(xn,xp)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sdtmndt0(xn,xp))
    | spl4_19 ),
    inference(resolution,[],[f354,f153]) ).

fof(f153,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
            & sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
            & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
            & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
          | ~ aNaturalNumber0(X2) )
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
            & sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
            & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
            & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
          | ~ aNaturalNumber0(X2) )
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X0,X1)
          & X0 != X1 )
       => ! [X2] :
            ( aNaturalNumber0(X2)
           => ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
              & sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
              & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
              & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.rD1aaXJ1Ym/Vampire---4.8_5440',mMonAdd) ).

fof(f354,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtmndt0(xn,xp),xm),sdtpldt0(xn,xm))
    | spl4_19 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f352,plain,
    ( spl4_19
  <=> sdtlseqdt0(sdtpldt0(sdtmndt0(xn,xp),xm),sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).

fof(f496,plain,
    spl4_17,
    inference(avatar_contradiction_clause,[],[f495]) ).

fof(f495,plain,
    ( $false
    | spl4_17 ),
    inference(subsumption_resolution,[],[f494,f136]) ).

fof(f494,plain,
    ( ~ aNaturalNumber0(xn)
    | spl4_17 ),
    inference(subsumption_resolution,[],[f492,f137]) ).

fof(f492,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | spl4_17 ),
    inference(resolution,[],[f346,f170]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.rD1aaXJ1Ym/Vampire---4.8_5440',mSortsB) ).

fof(f346,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | spl4_17 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f488,plain,
    ( ~ spl4_11
    | spl4_16 ),
    inference(avatar_contradiction_clause,[],[f487]) ).

fof(f487,plain,
    ( $false
    | ~ spl4_11
    | spl4_16 ),
    inference(subsumption_resolution,[],[f486,f304]) ).

fof(f486,plain,
    ( ~ aNaturalNumber0(sdtmndt0(xn,xp))
    | spl4_16 ),
    inference(subsumption_resolution,[],[f482,f137]) ).

fof(f482,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sdtmndt0(xn,xp))
    | spl4_16 ),
    inference(resolution,[],[f342,f170]) ).

fof(f342,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xn,xp),xm))
    | spl4_16 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f399,plain,
    spl4_11,
    inference(avatar_contradiction_clause,[],[f398]) ).

fof(f398,plain,
    ( $false
    | spl4_11 ),
    inference(subsumption_resolution,[],[f397,f138]) ).

fof(f397,plain,
    ( ~ aNaturalNumber0(xp)
    | spl4_11 ),
    inference(subsumption_resolution,[],[f396,f136]) ).

fof(f396,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xp)
    | spl4_11 ),
    inference(subsumption_resolution,[],[f394,f142]) ).

fof(f142,plain,
    sdtlseqdt0(xp,xn),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    sdtlseqdt0(xp,xn),
    file('/export/starexec/sandbox/tmp/tmp.rD1aaXJ1Ym/Vampire---4.8_5440',m__1870) ).

fof(f394,plain,
    ( ~ sdtlseqdt0(xp,xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xp)
    | spl4_11 ),
    inference(resolution,[],[f305,f218]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtmndt0(X1,X0))
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f154]) ).

fof(f154,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtmndt0(X1,X0) != X2
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtmndt0(X1,X0) = X2
            | sdtpldt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtmndt0(X1,X0) != X2 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtmndt0(X1,X0) = X2
            | sdtpldt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtmndt0(X1,X0) != X2 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtlseqdt0(X0,X1)
       => ! [X2] :
            ( sdtmndt0(X1,X0) = X2
          <=> ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.rD1aaXJ1Ym/Vampire---4.8_5440',mDefDiff) ).

fof(f305,plain,
    ( ~ aNaturalNumber0(sdtmndt0(xn,xp))
    | spl4_11 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f355,plain,
    ( ~ spl4_16
    | ~ spl4_17
    | spl4_18
    | ~ spl4_19
    | spl4_1 ),
    inference(avatar_split_clause,[],[f338,f234,f352,f348,f344,f340]) ).

fof(f234,plain,
    ( spl4_1
  <=> sdtlseqdt0(sdtpldt0(sdtpldt0(sdtmndt0(xn,xp),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f338,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtmndt0(xn,xp),xm),sdtpldt0(xn,xm))
    | sdtpldt0(xn,xm) = sdtpldt0(sdtmndt0(xn,xp),xm)
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xn,xp),xm))
    | spl4_1 ),
    inference(subsumption_resolution,[],[f328,f138]) ).

fof(f328,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ sdtlseqdt0(sdtpldt0(sdtmndt0(xn,xp),xm),sdtpldt0(xn,xm))
    | sdtpldt0(xn,xm) = sdtpldt0(sdtmndt0(xn,xp),xm)
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xn,xp),xm))
    | spl4_1 ),
    inference(resolution,[],[f236,f153]) ).

fof(f236,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtmndt0(xn,xp),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | spl4_1 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f241,plain,
    ( ~ spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f232,f238,f234]) ).

fof(f232,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtmndt0(xn,xp),xm),xp)
    | ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtmndt0(xn,xp),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    inference(forward_demodulation,[],[f231,f143]) ).

fof(f231,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtmndt0(xn,xp),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp) ),
    inference(forward_demodulation,[],[f147,f143]) ).

fof(f147,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,negated_conjecture,
    ~ ( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
      & sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f46,conjecture,
    ( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    & sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp) ),
    file('/export/starexec/sandbox/tmp/tmp.rD1aaXJ1Ym/Vampire---4.8_5440',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : NUM494+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15  % 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
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 17:26:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  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.rD1aaXJ1Ym/Vampire---4.8_5440
% 0.57/0.75  % (5782)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)
% 0.57/0.75  % (5778)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)
% 0.57/0.75  % (5777)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)
% 0.57/0.75  % (5779)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (5780)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)
% 0.57/0.75  % (5781)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)
% 0.57/0.75  % (5783)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)
% 0.57/0.76  % (5784)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)
% 0.57/0.76  % (5784)Refutation not found, incomplete strategy% (5784)------------------------------
% 0.57/0.76  % (5784)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (5784)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (5784)Memory used [KB]: 1154
% 0.57/0.76  % (5784)Time elapsed: 0.006 s
% 0.57/0.76  % (5784)Instructions burned: 7 (million)
% 0.57/0.76  % (5784)------------------------------
% 0.57/0.76  % (5784)------------------------------
% 0.57/0.76  % (5777)Refutation not found, incomplete strategy% (5777)------------------------------
% 0.57/0.76  % (5777)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (5777)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (5777)Memory used [KB]: 1166
% 0.57/0.76  % (5777)Time elapsed: 0.013 s
% 0.57/0.76  % (5777)Instructions burned: 11 (million)
% 0.57/0.77  % (5777)------------------------------
% 0.57/0.77  % (5777)------------------------------
% 0.57/0.77  % (5785)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)
% 0.57/0.78  % (5778)Instruction limit reached!
% 0.57/0.78  % (5778)------------------------------
% 0.57/0.78  % (5778)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (5778)Termination reason: Unknown
% 0.57/0.78  % (5778)Termination phase: Saturation
% 0.57/0.78  
% 0.57/0.78  % (5778)Memory used [KB]: 1860
% 0.57/0.78  % (5778)Time elapsed: 0.025 s
% 0.57/0.78  % (5778)Instructions burned: 52 (million)
% 0.57/0.78  % (5778)------------------------------
% 0.57/0.78  % (5778)------------------------------
% 0.57/0.78  % (5782)Instruction limit reached!
% 0.57/0.78  % (5782)------------------------------
% 0.57/0.78  % (5782)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (5782)Termination reason: Unknown
% 0.63/0.78  % (5782)Termination phase: Saturation
% 0.63/0.78  
% 0.63/0.78  % (5782)Memory used [KB]: 1695
% 0.63/0.78  % (5782)Time elapsed: 0.028 s
% 0.63/0.78  % (5782)Instructions burned: 46 (million)
% 0.63/0.78  % (5782)------------------------------
% 0.63/0.78  % (5782)------------------------------
% 0.63/0.78  % (5786)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)
% 0.63/0.78  % (5788)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)
% 0.63/0.78  % (5780)Instruction limit reached!
% 0.63/0.78  % (5780)------------------------------
% 0.63/0.78  % (5780)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (5781)Instruction limit reached!
% 0.63/0.78  % (5781)------------------------------
% 0.63/0.78  % (5781)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (5781)Termination reason: Unknown
% 0.63/0.78  % (5781)Termination phase: Saturation
% 0.63/0.78  
% 0.63/0.78  % (5781)Memory used [KB]: 1482
% 0.63/0.78  % (5781)Time elapsed: 0.034 s
% 0.63/0.79  % (5781)Instructions burned: 34 (million)
% 0.63/0.79  % (5781)------------------------------
% 0.63/0.79  % (5781)------------------------------
% 0.63/0.79  % (5780)Termination reason: Unknown
% 0.63/0.79  % (5780)Termination phase: Saturation
% 0.63/0.79  
% 0.63/0.79  % (5780)Memory used [KB]: 1492
% 0.63/0.79  % (5780)Time elapsed: 0.034 s
% 0.63/0.79  % (5780)Instructions burned: 33 (million)
% 0.63/0.79  % (5780)------------------------------
% 0.63/0.79  % (5780)------------------------------
% 0.63/0.79  % (5787)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)
% 0.63/0.79  % (5789)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)
% 0.63/0.79  % (5790)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)
% 0.63/0.80  % (5790)Refutation not found, incomplete strategy% (5790)------------------------------
% 0.63/0.80  % (5790)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (5790)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (5790)Memory used [KB]: 1167
% 0.63/0.80  % (5790)Time elapsed: 0.009 s
% 0.63/0.80  % (5790)Instructions burned: 7 (million)
% 0.63/0.80  % (5790)------------------------------
% 0.63/0.80  % (5790)------------------------------
% 0.63/0.81  % (5786)Instruction limit reached!
% 0.63/0.81  % (5786)------------------------------
% 0.63/0.81  % (5786)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (5786)Termination reason: Unknown
% 0.63/0.81  % (5786)Termination phase: Saturation
% 0.63/0.81  
% 0.63/0.81  % (5786)Memory used [KB]: 1503
% 0.63/0.81  % (5786)Time elapsed: 0.016 s
% 0.63/0.81  % (5786)Instructions burned: 50 (million)
% 0.63/0.81  % (5786)------------------------------
% 0.63/0.81  % (5786)------------------------------
% 0.63/0.81  % (5791)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)
% 0.63/0.81  % (5788)Instruction limit reached!
% 0.63/0.81  % (5788)------------------------------
% 0.63/0.81  % (5788)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (5788)Termination reason: Unknown
% 0.63/0.81  % (5788)Termination phase: Saturation
% 0.63/0.81  
% 0.63/0.81  % (5788)Memory used [KB]: 1587
% 0.63/0.81  % (5788)Time elapsed: 0.032 s
% 0.63/0.81  % (5788)Instructions burned: 53 (million)
% 0.63/0.81  % (5788)------------------------------
% 0.63/0.81  % (5788)------------------------------
% 0.63/0.82  % (5793)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)
% 0.63/0.82  % (5792)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)
% 0.63/0.82  % (5785)Instruction limit reached!
% 0.63/0.82  % (5785)------------------------------
% 0.63/0.82  % (5785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (5785)Termination reason: Unknown
% 0.63/0.82  % (5785)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (5785)Memory used [KB]: 2053
% 0.63/0.82  % (5785)Time elapsed: 0.052 s
% 0.63/0.82  % (5785)Instructions burned: 55 (million)
% 0.63/0.82  % (5785)------------------------------
% 0.63/0.82  % (5785)------------------------------
% 0.63/0.82  % (5783)Instruction limit reached!
% 0.63/0.82  % (5783)------------------------------
% 0.63/0.82  % (5783)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (5783)Termination reason: Unknown
% 0.63/0.82  % (5783)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (5783)Memory used [KB]: 1879
% 0.63/0.82  % (5783)Time elapsed: 0.072 s
% 0.63/0.82  % (5783)Instructions burned: 83 (million)
% 0.63/0.82  % (5783)------------------------------
% 0.63/0.82  % (5783)------------------------------
% 0.63/0.83  % (5794)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)
% 0.63/0.83  % (5795)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)
% 0.63/0.83  % (5779)Instruction limit reached!
% 0.63/0.83  % (5779)------------------------------
% 0.63/0.83  % (5779)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.83  % (5779)Termination reason: Unknown
% 0.63/0.83  % (5779)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (5779)Memory used [KB]: 1652
% 0.63/0.83  % (5779)Time elapsed: 0.081 s
% 0.63/0.83  % (5779)Instructions burned: 78 (million)
% 0.63/0.83  % (5779)------------------------------
% 0.63/0.83  % (5779)------------------------------
% 0.63/0.84  % (5796)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.63/0.84  % (5789)First to succeed.
% 0.63/0.85  % (5789)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5685"
% 0.63/0.85  % (5789)Refutation found. Thanks to Tanya!
% 0.63/0.85  % SZS status Theorem for Vampire---4
% 0.63/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.85  % (5789)------------------------------
% 0.63/0.85  % (5789)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.85  % (5789)Termination reason: Refutation
% 0.63/0.85  
% 0.63/0.85  % (5789)Memory used [KB]: 1647
% 0.63/0.85  % (5789)Time elapsed: 0.058 s
% 0.63/0.85  % (5789)Instructions burned: 58 (million)
% 0.63/0.85  % (5685)Success in time 0.471 s
% 0.63/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------