TSTP Solution File: NUM541+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM541+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 03:31:56 EDT 2024

% Result   : Theorem 0.63s 0.82s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   99 (   4 unt;   0 def)
%            Number of atoms       :  343 (  24 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  417 ( 173   ~; 181   |;  42   &)
%                                         (   8 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   7 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f404,plain,
    $false,
    inference(avatar_sat_refutation,[],[f199,f213,f236,f265,f273,f347,f352,f374,f399]) ).

fof(f399,plain,
    ( ~ spl6_1
    | ~ spl6_6 ),
    inference(avatar_contradiction_clause,[],[f398]) ).

fof(f398,plain,
    ( $false
    | ~ spl6_1
    | ~ spl6_6 ),
    inference(subsumption_resolution,[],[f395,f189]) ).

fof(f189,plain,
    ( sP0
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f187,plain,
    ( spl6_1
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f395,plain,
    ( ~ sP0
    | ~ spl6_6 ),
    inference(resolution,[],[f212,f128]) ).

fof(f128,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ( ( xm != xn
      & ~ aElementOf0(xm,slbdtrb0(xn))
      & ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
      & aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
      & sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f99]) ).

fof(f99,plain,
    ( ( xm != xn
      & ~ aElementOf0(xm,slbdtrb0(xn))
      & ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
      & aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
      & sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f212,plain,
    ( sdtlseqdt0(szszuzczcdt0(xm),xn)
    | ~ spl6_6 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f210,plain,
    ( spl6_6
  <=> sdtlseqdt0(szszuzczcdt0(xm),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

fof(f374,plain,
    ( ~ spl6_3
    | spl6_5
    | spl6_6 ),
    inference(avatar_contradiction_clause,[],[f373]) ).

fof(f373,plain,
    ( $false
    | ~ spl6_3
    | spl6_5
    | spl6_6 ),
    inference(subsumption_resolution,[],[f372,f124]) ).

fof(f124,plain,
    aElementOf0(xm,szNzAzT0),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,axiom,
    ( aElementOf0(xn,szNzAzT0)
    & aElementOf0(xm,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/tmp.6YknHYQht8/Vampire---4.8_30444',m__1936) ).

fof(f372,plain,
    ( ~ aElementOf0(xm,szNzAzT0)
    | ~ spl6_3
    | spl6_5
    | spl6_6 ),
    inference(subsumption_resolution,[],[f371,f125]) ).

fof(f125,plain,
    aElementOf0(xn,szNzAzT0),
    inference(cnf_transformation,[],[f53]) ).

fof(f371,plain,
    ( ~ aElementOf0(xn,szNzAzT0)
    | ~ aElementOf0(xm,szNzAzT0)
    | ~ spl6_3
    | spl6_5
    | spl6_6 ),
    inference(subsumption_resolution,[],[f368,f363]) ).

fof(f363,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | spl6_5
    | spl6_6 ),
    inference(subsumption_resolution,[],[f362,f124]) ).

fof(f362,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | ~ aElementOf0(xm,szNzAzT0)
    | spl6_5
    | spl6_6 ),
    inference(subsumption_resolution,[],[f361,f125]) ).

fof(f361,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | ~ aElementOf0(xn,szNzAzT0)
    | ~ aElementOf0(xm,szNzAzT0)
    | spl6_5
    | spl6_6 ),
    inference(subsumption_resolution,[],[f360,f206]) ).

fof(f206,plain,
    ( xm != xn
    | spl6_5 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f205,plain,
    ( spl6_5
  <=> xm = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f360,plain,
    ( xm = xn
    | ~ sdtlseqdt0(xm,xn)
    | ~ aElementOf0(xn,szNzAzT0)
    | ~ aElementOf0(xm,szNzAzT0)
    | spl6_6 ),
    inference(resolution,[],[f357,f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6YknHYQht8/Vampire---4.8_30444',mLessASymm) ).

fof(f357,plain,
    ( sdtlseqdt0(xn,xm)
    | spl6_6 ),
    inference(subsumption_resolution,[],[f356,f125]) ).

fof(f356,plain,
    ( sdtlseqdt0(xn,xm)
    | ~ aElementOf0(xn,szNzAzT0)
    | spl6_6 ),
    inference(subsumption_resolution,[],[f354,f124]) ).

fof(f354,plain,
    ( sdtlseqdt0(xn,xm)
    | ~ aElementOf0(xm,szNzAzT0)
    | ~ aElementOf0(xn,szNzAzT0)
    | spl6_6 ),
    inference(resolution,[],[f211,f135]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(szszuzczcdt0(X1),X0)
      | sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(szszuzczcdt0(X1),X0)
      | sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(szszuzczcdt0(X1),X0)
      | sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( sdtlseqdt0(szszuzczcdt0(X1),X0)
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6YknHYQht8/Vampire---4.8_30444',mLessTotal) ).

fof(f211,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
    | spl6_6 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f368,plain,
    ( sdtlseqdt0(xm,xn)
    | ~ aElementOf0(xn,szNzAzT0)
    | ~ aElementOf0(xm,szNzAzT0)
    | ~ spl6_3 ),
    inference(resolution,[],[f197,f138]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
      | sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
        & ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( sdtlseqdt0(X0,X1)
      <=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6YknHYQht8/Vampire---4.8_30444',mSuccLess) ).

fof(f197,plain,
    ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f196,plain,
    ( spl6_3
  <=> sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f352,plain,
    ( ~ spl6_6
    | spl6_3
    | ~ spl6_9 ),
    inference(avatar_split_clause,[],[f351,f251,f196,f210]) ).

fof(f251,plain,
    ( spl6_9
  <=> aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).

fof(f351,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
    | spl6_3
    | ~ spl6_9 ),
    inference(subsumption_resolution,[],[f350,f124]) ).

fof(f350,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
    | ~ aElementOf0(xm,szNzAzT0)
    | spl6_3
    | ~ spl6_9 ),
    inference(subsumption_resolution,[],[f337,f252]) ).

fof(f252,plain,
    ( aElementOf0(szszuzczcdt0(xm),szNzAzT0)
    | ~ spl6_9 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f337,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
    | ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
    | ~ aElementOf0(xm,szNzAzT0)
    | spl6_3 ),
    inference(resolution,[],[f313,f136]) ).

fof(f136,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,szszuzczcdt0(X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,szszuzczcdt0(X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.6YknHYQht8/Vampire---4.8_30444',mLessSucc) ).

fof(f313,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(xm,X0)
        | ~ sdtlseqdt0(X0,xn)
        | ~ aElementOf0(X0,szNzAzT0) )
    | spl6_3 ),
    inference(subsumption_resolution,[],[f312,f124]) ).

fof(f312,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xn)
        | ~ sdtlseqdt0(xm,X0)
        | ~ aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(xm,szNzAzT0) )
    | spl6_3 ),
    inference(subsumption_resolution,[],[f311,f125]) ).

fof(f311,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xn)
        | ~ sdtlseqdt0(xm,X0)
        | ~ aElementOf0(xn,szNzAzT0)
        | ~ aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(xm,szNzAzT0) )
    | spl6_3 ),
    inference(resolution,[],[f295,f141]) ).

fof(f141,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X2,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X2,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X2,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0,X1,X2] :
      ( ( aElementOf0(X2,szNzAzT0)
        & aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(X0,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6YknHYQht8/Vampire---4.8_30444',mLessTrans) ).

fof(f295,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | spl6_3 ),
    inference(subsumption_resolution,[],[f294,f124]) ).

fof(f294,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | ~ aElementOf0(xm,szNzAzT0)
    | spl6_3 ),
    inference(subsumption_resolution,[],[f290,f125]) ).

fof(f290,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | ~ aElementOf0(xn,szNzAzT0)
    | ~ aElementOf0(xm,szNzAzT0)
    | spl6_3 ),
    inference(resolution,[],[f198,f137]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f198,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
    | spl6_3 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f347,plain,
    ( ~ spl6_1
    | spl6_3 ),
    inference(avatar_split_clause,[],[f289,f196,f187]) ).

fof(f289,plain,
    ( ~ sP0
    | spl6_3 ),
    inference(resolution,[],[f198,f126]) ).

fof(f126,plain,
    ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f273,plain,
    spl6_9,
    inference(avatar_contradiction_clause,[],[f272]) ).

fof(f272,plain,
    ( $false
    | spl6_9 ),
    inference(subsumption_resolution,[],[f271,f124]) ).

fof(f271,plain,
    ( ~ aElementOf0(xm,szNzAzT0)
    | spl6_9 ),
    inference(resolution,[],[f253,f163]) ).

fof(f163,plain,
    ! [X0] :
      ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ( sz00 != szszuzczcdt0(X0)
        & aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( sz00 != szszuzczcdt0(X0)
        & aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6YknHYQht8/Vampire---4.8_30444',mSuccNum) ).

fof(f253,plain,
    ( ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
    | spl6_9 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f265,plain,
    ( spl6_3
    | ~ spl6_5 ),
    inference(avatar_contradiction_clause,[],[f264]) ).

fof(f264,plain,
    ( $false
    | spl6_3
    | ~ spl6_5 ),
    inference(subsumption_resolution,[],[f261,f124]) ).

fof(f261,plain,
    ( ~ aElementOf0(xm,szNzAzT0)
    | spl6_3
    | ~ spl6_5 ),
    inference(resolution,[],[f248,f143]) ).

fof(f143,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.6YknHYQht8/Vampire---4.8_30444',mLessRefl) ).

fof(f248,plain,
    ( ~ sdtlseqdt0(xm,xm)
    | spl6_3
    | ~ spl6_5 ),
    inference(subsumption_resolution,[],[f247,f124]) ).

fof(f247,plain,
    ( ~ sdtlseqdt0(xm,xm)
    | ~ aElementOf0(xm,szNzAzT0)
    | spl6_3
    | ~ spl6_5 ),
    inference(duplicate_literal_removal,[],[f241]) ).

fof(f241,plain,
    ( ~ sdtlseqdt0(xm,xm)
    | ~ aElementOf0(xm,szNzAzT0)
    | ~ aElementOf0(xm,szNzAzT0)
    | spl6_3
    | ~ spl6_5 ),
    inference(resolution,[],[f214,f137]) ).

fof(f214,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xm))
    | spl6_3
    | ~ spl6_5 ),
    inference(forward_demodulation,[],[f198,f207]) ).

fof(f207,plain,
    ( xm = xn
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f236,plain,
    ( ~ spl6_1
    | ~ spl6_5 ),
    inference(avatar_split_clause,[],[f221,f205,f187]) ).

fof(f221,plain,
    ( ~ sP0
    | ~ spl6_5 ),
    inference(trivial_inequality_removal,[],[f220]) ).

fof(f220,plain,
    ( xm != xm
    | ~ sP0
    | ~ spl6_5 ),
    inference(superposition,[],[f130,f207]) ).

fof(f130,plain,
    ( xm != xn
    | ~ sP0 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f213,plain,
    ( spl6_1
    | spl6_6
    | spl6_5 ),
    inference(avatar_split_clause,[],[f131,f205,f210,f187]) ).

fof(f131,plain,
    ( xm = xn
    | sdtlseqdt0(szszuzczcdt0(xm),xn)
    | sP0 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ( ( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
      & ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
      & ( xm = xn
        | ( aElementOf0(xm,slbdtrb0(xn))
          & sdtlseqdt0(szszuzczcdt0(xm),xn) ) ) )
    | sP0 ),
    inference(definition_folding,[],[f63,f99]) ).

fof(f63,plain,
    ( ( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
      & ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
      & ( xm = xn
        | ( aElementOf0(xm,slbdtrb0(xn))
          & sdtlseqdt0(szszuzczcdt0(xm),xn) ) ) )
    | ( xm != xn
      & ~ aElementOf0(xm,slbdtrb0(xn))
      & ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
      & aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
      & sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ) ),
    inference(flattening,[],[f62]) ).

fof(f62,plain,
    ( ( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
      & ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
      & ( xm = xn
        | ( aElementOf0(xm,slbdtrb0(xn))
          & sdtlseqdt0(szszuzczcdt0(xm),xn) ) ) )
    | ( xm != xn
      & ~ aElementOf0(xm,slbdtrb0(xn))
      & ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
      & aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
      & sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,negated_conjecture,
    ~ ( ( ( xm = xn
          | ( aElementOf0(xm,slbdtrb0(xn))
            & sdtlseqdt0(szszuzczcdt0(xm),xn) ) )
       => ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
          | sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ) )
      & ( ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
          & sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
       => ( xm = xn
          | aElementOf0(xm,slbdtrb0(xn))
          | sdtlseqdt0(szszuzczcdt0(xm),xn) ) ) ),
    inference(negated_conjecture,[],[f54]) ).

fof(f54,conjecture,
    ( ( ( xm = xn
        | ( aElementOf0(xm,slbdtrb0(xn))
          & sdtlseqdt0(szszuzczcdt0(xm),xn) ) )
     => ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
        | sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ) )
    & ( ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
        & sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
     => ( xm = xn
        | aElementOf0(xm,slbdtrb0(xn))
        | sdtlseqdt0(szszuzczcdt0(xm),xn) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6YknHYQht8/Vampire---4.8_30444',m__) ).

fof(f199,plain,
    ( spl6_1
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f133,f196,f187]) ).

fof(f133,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
    | sP0 ),
    inference(cnf_transformation,[],[f100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : NUM541+2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32  % Computer : n007.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 16:50:03 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  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/tmp/tmp.6YknHYQht8/Vampire---4.8_30444
% 0.63/0.81  % (30560)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)
% 0.63/0.81  % (30561)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)
% 0.63/0.81  % (30558)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  % (30562)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)
% 0.63/0.81  % (30559)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81  % (30563)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)
% 0.63/0.81  % (30564)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)
% 0.63/0.81  % (30557)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)
% 0.63/0.81  % (30562)First to succeed.
% 0.63/0.81  % (30560)Refutation not found, incomplete strategy% (30560)------------------------------
% 0.63/0.81  % (30560)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (30560)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (30560)Memory used [KB]: 1156
% 0.63/0.81  % (30560)Time elapsed: 0.007 s
% 0.63/0.81  % (30560)Instructions burned: 9 (million)
% 0.63/0.81  % (30560)------------------------------
% 0.63/0.81  % (30560)------------------------------
% 0.63/0.82  % (30562)Refutation found. Thanks to Tanya!
% 0.63/0.82  % SZS status Theorem for Vampire---4
% 0.63/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.82  % (30562)------------------------------
% 0.63/0.82  % (30562)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (30562)Termination reason: Refutation
% 0.63/0.82  
% 0.63/0.82  % (30562)Memory used [KB]: 1179
% 0.63/0.82  % (30562)Time elapsed: 0.008 s
% 0.63/0.82  % (30562)Instructions burned: 12 (million)
% 0.63/0.82  % (30562)------------------------------
% 0.63/0.82  % (30562)------------------------------
% 0.63/0.82  % (30554)Success in time 0.485 s
% 0.63/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------