TSTP Solution File: NUM542+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM542+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 : n017.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 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  137 (   3 unt;   1 typ;   0 def)
%            Number of atoms       : 1358 (  10 equ)
%            Maximal formula atoms :   24 (   9 avg)
%            Number of connectives :  762 ( 284   ~; 267   |; 143   &)
%                                         (  41 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  744 ( 744 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   35 (  33 usr;  27 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :  129 ( 122   !;   6   ?;  44   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_14,type,
    sQ10_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f1085,plain,
    $false,
    inference(avatar_sat_refutation,[],[f248,f253,f258,f268,f278,f290,f302,f311,f315,f316,f317,f322,f323,f325,f810,f841,f863,f1084]) ).

tff(f1084,plain,
    ( ~ spl11_4
    | ~ spl11_9
    | ~ spl11_16
    | ~ spl11_51 ),
    inference(avatar_contradiction_clause,[],[f1083]) ).

tff(f1083,plain,
    ( $false
    | ~ spl11_4
    | ~ spl11_9
    | ~ spl11_16
    | ~ spl11_51 ),
    inference(subsumption_resolution,[],[f1082,f252]) ).

tff(f252,plain,
    ( aElementOf0(sK5,slbdtrb0(xm))
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f250]) ).

tff(f250,plain,
    ( spl11_4
  <=> aElementOf0(sK5,slbdtrb0(xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

tff(f1082,plain,
    ( ~ aElementOf0(sK5,slbdtrb0(xm))
    | ~ spl11_9
    | ~ spl11_16
    | ~ spl11_51 ),
    inference(subsumption_resolution,[],[f1081,f141]) ).

tff(f141,plain,
    aElementOf0(xm,szNzAzT0),
    inference(cnf_transformation,[],[f54]) ).

tff(f54,axiom,
    ( aElementOf0(xn,szNzAzT0)
    & aElementOf0(xm,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/tmp.4yrqGZGu0X/Vampire---4.8_25284',m__1964) ).

tff(f1081,plain,
    ( ~ aElementOf0(xm,szNzAzT0)
    | ~ aElementOf0(sK5,slbdtrb0(xm))
    | ~ spl11_9
    | ~ spl11_16
    | ~ spl11_51 ),
    inference(subsumption_resolution,[],[f1048,f277]) ).

tff(f277,plain,
    ( sdtlseqdt0(xm,xn)
    | ~ spl11_9 ),
    inference(avatar_component_clause,[],[f275]) ).

tff(f275,plain,
    ( spl11_9
  <=> sdtlseqdt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).

tff(f1048,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | ~ aElementOf0(xm,szNzAzT0)
    | ~ aElementOf0(sK5,slbdtrb0(xm))
    | ~ spl11_16
    | ~ spl11_51 ),
    inference(resolution,[],[f840,f305]) ).

tff(f305,plain,
    ( ! [X0: $i] :
        ( sdtlseqdt0(szszuzczcdt0(X0),xm)
        | ~ aElementOf0(X0,slbdtrb0(xm)) )
    | ~ spl11_16 ),
    inference(avatar_component_clause,[],[f304]) ).

tff(f304,plain,
    ( spl11_16
  <=> ! [X0] :
        ( sdtlseqdt0(szszuzczcdt0(X0),xm)
        | ~ aElementOf0(X0,slbdtrb0(xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).

tff(f840,plain,
    ( ! [X0: $i] :
        ( ~ sdtlseqdt0(szszuzczcdt0(sK5),X0)
        | ~ sdtlseqdt0(X0,xn)
        | ~ aElementOf0(X0,szNzAzT0) )
    | ~ spl11_51 ),
    inference(avatar_component_clause,[],[f839]) ).

tff(f839,plain,
    ( spl11_51
  <=> ! [X0] :
        ( ~ sdtlseqdt0(szszuzczcdt0(sK5),X0)
        | ~ sdtlseqdt0(X0,xn)
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_51])]) ).

tff(f863,plain,
    ( spl11_50
    | ~ spl11_4
    | ~ spl11_17 ),
    inference(avatar_split_clause,[],[f861,f308,f250,f835]) ).

tff(f835,plain,
    ( spl11_50
  <=> aElementOf0(sK5,szNzAzT0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_50])]) ).

tff(f308,plain,
    ( spl11_17
  <=> ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(X0,slbdtrb0(xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).

tff(f861,plain,
    ( aElementOf0(sK5,szNzAzT0)
    | ~ spl11_4
    | ~ spl11_17 ),
    inference(resolution,[],[f252,f309]) ).

tff(f309,plain,
    ( ! [X0: $i] :
        ( ~ aElementOf0(X0,slbdtrb0(xm))
        | aElementOf0(X0,szNzAzT0) )
    | ~ spl11_17 ),
    inference(avatar_component_clause,[],[f308]) ).

tff(f841,plain,
    ( ~ spl11_50
    | spl11_51
    | spl11_3
    | ~ spl11_11 ),
    inference(avatar_split_clause,[],[f832,f284,f245,f839,f835]) ).

tff(f245,plain,
    ( spl11_3
  <=> aElementOf0(sK5,slbdtrb0(xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

tff(f284,plain,
    ( spl11_11
  <=> ! [X0] :
        ( aElementOf0(X0,slbdtrb0(xn))
        | ~ aElementOf0(X0,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X0),xn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).

tff(f832,plain,
    ( ! [X0: $i] :
        ( ~ sdtlseqdt0(szszuzczcdt0(sK5),X0)
        | ~ aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(sK5,szNzAzT0)
        | ~ sdtlseqdt0(X0,xn) )
    | spl11_3
    | ~ spl11_11 ),
    inference(resolution,[],[f247,f498]) ).

tff(f498,plain,
    ( ! [X0: $i,X1: $i] :
        ( aElementOf0(X1,slbdtrb0(xn))
        | ~ sdtlseqdt0(szszuzczcdt0(X1),X0)
        | ~ aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(X1,szNzAzT0)
        | ~ sdtlseqdt0(X0,xn) )
    | ~ spl11_11 ),
    inference(subsumption_resolution,[],[f497,f203]) ).

tff(f203,plain,
    ! [X0: $i] :
      ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f95]) ).

tff(f95,plain,
    ! [X0] :
      ( ( ( sz00 != szszuzczcdt0(X0) )
        & aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f25]) ).

tff(f25,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( ( sz00 != szszuzczcdt0(X0) )
        & aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.4yrqGZGu0X/Vampire---4.8_25284',mSuccNum) ).

tff(f497,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ sdtlseqdt0(X0,xn)
        | ~ sdtlseqdt0(szszuzczcdt0(X1),X0)
        | ~ aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
        | ~ aElementOf0(X1,szNzAzT0)
        | aElementOf0(X1,slbdtrb0(xn)) )
    | ~ spl11_11 ),
    inference(subsumption_resolution,[],[f492,f142]) ).

tff(f142,plain,
    aElementOf0(xn,szNzAzT0),
    inference(cnf_transformation,[],[f54]) ).

tff(f492,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ sdtlseqdt0(X0,xn)
        | ~ sdtlseqdt0(szszuzczcdt0(X1),X0)
        | ~ aElementOf0(xn,szNzAzT0)
        | ~ aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
        | ~ aElementOf0(X1,szNzAzT0)
        | aElementOf0(X1,slbdtrb0(xn)) )
    | ~ spl11_11 ),
    inference(resolution,[],[f171,f285]) ).

tff(f285,plain,
    ( ! [X0: $i] :
        ( ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
        | ~ aElementOf0(X0,szNzAzT0)
        | aElementOf0(X0,slbdtrb0(xn)) )
    | ~ spl11_11 ),
    inference(avatar_component_clause,[],[f284]) ).

tff(f171,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X2,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f66]) ).

tff(f66,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X2,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f65]) ).

tff(f65,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]) ).

tff(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/sandbox/tmp/tmp.4yrqGZGu0X/Vampire---4.8_25284',mLessTrans) ).

tff(f247,plain,
    ( ~ aElementOf0(sK5,slbdtrb0(xn))
    | spl11_3 ),
    inference(avatar_component_clause,[],[f245]) ).

tff(f810,plain,
    ( spl11_9
    | ~ spl11_12
    | ~ spl11_15
    | ~ spl11_18 ),
    inference(avatar_contradiction_clause,[],[f809]) ).

tff(f809,plain,
    ( $false
    | spl11_9
    | ~ spl11_12
    | ~ spl11_15
    | ~ spl11_18 ),
    inference(subsumption_resolution,[],[f807,f401]) ).

tff(f401,plain,
    ( aElementOf0(xn,slbdtrb0(xm))
    | spl11_9
    | ~ spl11_15 ),
    inference(subsumption_resolution,[],[f400,f142]) ).

tff(f400,plain,
    ( ~ aElementOf0(xn,szNzAzT0)
    | aElementOf0(xn,slbdtrb0(xm))
    | spl11_9
    | ~ spl11_15 ),
    inference(resolution,[],[f397,f276]) ).

tff(f276,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | spl11_9 ),
    inference(avatar_component_clause,[],[f275]) ).

tff(f397,plain,
    ( ! [X0: $i] :
        ( sdtlseqdt0(xm,X0)
        | ~ aElementOf0(X0,szNzAzT0)
        | aElementOf0(X0,slbdtrb0(xm)) )
    | ~ spl11_15 ),
    inference(subsumption_resolution,[],[f393,f141]) ).

tff(f393,plain,
    ( ! [X0: $i] :
        ( sdtlseqdt0(xm,X0)
        | ~ aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(xm,szNzAzT0)
        | aElementOf0(X0,slbdtrb0(xm)) )
    | ~ spl11_15 ),
    inference(duplicate_literal_removal,[],[f392]) ).

tff(f392,plain,
    ( ! [X0: $i] :
        ( sdtlseqdt0(xm,X0)
        | ~ aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(xm,szNzAzT0)
        | ~ aElementOf0(X0,szNzAzT0)
        | aElementOf0(X0,slbdtrb0(xm)) )
    | ~ spl11_15 ),
    inference(resolution,[],[f170,f301]) ).

tff(f301,plain,
    ( ! [X0: $i] :
        ( ~ sdtlseqdt0(szszuzczcdt0(X0),xm)
        | ~ aElementOf0(X0,szNzAzT0)
        | aElementOf0(X0,slbdtrb0(xm)) )
    | ~ spl11_15 ),
    inference(avatar_component_clause,[],[f300]) ).

tff(f300,plain,
    ( spl11_15
  <=> ! [X0] :
        ( aElementOf0(X0,slbdtrb0(xm))
        | ~ aElementOf0(X0,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X0),xm) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).

tff(f170,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(szszuzczcdt0(X1),X0)
      | sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f64]) ).

tff(f64,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(szszuzczcdt0(X1),X0)
      | sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f63]) ).

tff(f63,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(szszuzczcdt0(X1),X0)
      | sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f37]) ).

tff(f37,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( sdtlseqdt0(szszuzczcdt0(X1),X0)
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.4yrqGZGu0X/Vampire---4.8_25284',mLessTotal) ).

tff(f807,plain,
    ( ~ aElementOf0(xn,slbdtrb0(xm))
    | ~ spl11_12
    | ~ spl11_18 ),
    inference(resolution,[],[f539,f321]) ).

tff(f321,plain,
    ( ! [X0: $i] :
        ( aElementOf0(X0,slbdtrb0(xn))
        | ~ aElementOf0(X0,slbdtrb0(xm)) )
    | ~ spl11_18 ),
    inference(avatar_component_clause,[],[f320]) ).

tff(f320,plain,
    ( spl11_18
  <=> ! [X0] :
        ( aElementOf0(X0,slbdtrb0(xn))
        | ~ aElementOf0(X0,slbdtrb0(xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).

tff(f539,plain,
    ( ~ aElementOf0(xn,slbdtrb0(xn))
    | ~ spl11_12 ),
    inference(subsumption_resolution,[],[f531,f142]) ).

tff(f531,plain,
    ( ~ aElementOf0(xn,szNzAzT0)
    | ~ aElementOf0(xn,slbdtrb0(xn))
    | ~ spl11_12 ),
    inference(resolution,[],[f479,f289]) ).

tff(f289,plain,
    ( ! [X0: $i] :
        ( sdtlseqdt0(szszuzczcdt0(X0),xn)
        | ~ aElementOf0(X0,slbdtrb0(xn)) )
    | ~ spl11_12 ),
    inference(avatar_component_clause,[],[f288]) ).

tff(f288,plain,
    ( spl11_12
  <=> ! [X0] :
        ( sdtlseqdt0(szszuzczcdt0(X0),xn)
        | ~ aElementOf0(X0,slbdtrb0(xn)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).

tff(f479,plain,
    ! [X0: $i] :
      ( ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(subsumption_resolution,[],[f478,f203]) ).

tff(f478,plain,
    ! [X0: $i] :
      ( ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
    inference(subsumption_resolution,[],[f477,f174]) ).

tff(f174,plain,
    ! [X0: $i] :
      ( sdtlseqdt0(X0,szszuzczcdt0(X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f70]) ).

tff(f70,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,szszuzczcdt0(X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f33]) ).

tff(f33,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.4yrqGZGu0X/Vampire---4.8_25284',mLessSucc) ).

tff(f477,plain,
    ! [X0: $i] :
      ( ~ sdtlseqdt0(X0,szszuzczcdt0(X0))
      | ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
    inference(duplicate_literal_removal,[],[f473]) ).

tff(f473,plain,
    ! [X0: $i] :
      ( ~ sdtlseqdt0(X0,szszuzczcdt0(X0))
      | ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(resolution,[],[f217,f218]) ).

tff(f218,plain,
    ! [X0: $i] :
      ( ~ sQ10_eqProxy($i,szszuzczcdt0(X0),X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(equality_proxy_replacement,[],[f177,f216]) ).

tff(f216,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ10_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ10_eqProxy])]) ).

tff(f177,plain,
    ! [X0: $i] :
      ( ( szszuzczcdt0(X0) != X0 )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f73]) ).

tff(f73,plain,
    ! [X0] :
      ( ( szszuzczcdt0(X0) != X0 )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f28]) ).

tff(f28,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( szszuzczcdt0(X0) != X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.4yrqGZGu0X/Vampire---4.8_25284',mNatNSucc) ).

tff(f217,plain,
    ! [X0: $i,X1: $i] :
      ( sQ10_eqProxy($i,X0,X1)
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(equality_proxy_replacement,[],[f172,f216]) ).

tff(f172,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f68]) ).

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

tff(f67,plain,
    ! [X0,X1] :
      ( ( X0 = X1 )
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f35]) ).

tff(f35,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => ( X0 = X1 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.4yrqGZGu0X/Vampire---4.8_25284',mLessASymm) ).

tff(f325,plain,
    ( spl11_1
    | spl11_14 ),
    inference(avatar_split_clause,[],[f164,f296,f236]) ).

tff(f236,plain,
    ( spl11_1
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

tff(f296,plain,
    ( spl11_14
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).

tff(f164,plain,
    ( sP2
    | sP4 ),
    inference(cnf_transformation,[],[f107]) ).

tff(f107,plain,
    ( ( ~ sdtlseqdt0(xm,xn)
      & aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
      & ! [X0] :
          ( aElementOf0(X0,slbdtrb0(xn))
          | ~ aElementOf0(X0,slbdtrb0(xm)) )
      & sP3
      & aSet0(slbdtrb0(xn))
      & sP2
      & aSet0(slbdtrb0(xm)) )
    | sP4 ),
    inference(definition_folding,[],[f62,f106,f105,f104,f103,f102]) ).

tff(f102,plain,
    ( ! [X3] :
        ( aElementOf0(X3,slbdtrb0(xm))
      <=> ( sdtlseqdt0(szszuzczcdt0(X3),xm)
          & aElementOf0(X3,szNzAzT0) ) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

tff(f103,plain,
    ( ! [X4] :
        ( aElementOf0(X4,slbdtrb0(xn))
      <=> ( sdtlseqdt0(szszuzczcdt0(X4),xn)
          & aElementOf0(X4,szNzAzT0) ) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

tff(f104,plain,
    ( ! [X2] :
        ( aElementOf0(X2,slbdtrb0(xm))
      <=> ( sdtlseqdt0(szszuzczcdt0(X2),xm)
          & aElementOf0(X2,szNzAzT0) ) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

tff(f105,plain,
    ( ! [X1] :
        ( aElementOf0(X1,slbdtrb0(xn))
      <=> ( sdtlseqdt0(szszuzczcdt0(X1),xn)
          & aElementOf0(X1,szNzAzT0) ) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

tff(f106,plain,
    ( ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
      & ? [X5] :
          ( ~ aElementOf0(X5,slbdtrb0(xn))
          & aElementOf0(X5,slbdtrb0(xm)) )
      & sP1
      & aSet0(slbdtrb0(xn))
      & sP0
      & aSet0(slbdtrb0(xm))
      & sdtlseqdt0(xm,xn) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

tff(f62,plain,
    ( ( ~ sdtlseqdt0(xm,xn)
      & aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
      & ! [X0] :
          ( aElementOf0(X0,slbdtrb0(xn))
          | ~ aElementOf0(X0,slbdtrb0(xm)) )
      & ! [X1] :
          ( aElementOf0(X1,slbdtrb0(xn))
        <=> ( sdtlseqdt0(szszuzczcdt0(X1),xn)
            & aElementOf0(X1,szNzAzT0) ) )
      & aSet0(slbdtrb0(xn))
      & ! [X2] :
          ( aElementOf0(X2,slbdtrb0(xm))
        <=> ( sdtlseqdt0(szszuzczcdt0(X2),xm)
            & aElementOf0(X2,szNzAzT0) ) )
      & aSet0(slbdtrb0(xm)) )
    | ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
      & ? [X5] :
          ( ~ aElementOf0(X5,slbdtrb0(xn))
          & aElementOf0(X5,slbdtrb0(xm)) )
      & ! [X4] :
          ( aElementOf0(X4,slbdtrb0(xn))
        <=> ( sdtlseqdt0(szszuzczcdt0(X4),xn)
            & aElementOf0(X4,szNzAzT0) ) )
      & aSet0(slbdtrb0(xn))
      & ! [X3] :
          ( aElementOf0(X3,slbdtrb0(xm))
        <=> ( sdtlseqdt0(szszuzczcdt0(X3),xm)
            & aElementOf0(X3,szNzAzT0) ) )
      & aSet0(slbdtrb0(xm))
      & sdtlseqdt0(xm,xn) ) ),
    inference(flattening,[],[f61]) ).

tff(f61,plain,
    ( ( ~ sdtlseqdt0(xm,xn)
      & aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
      & ! [X0] :
          ( aElementOf0(X0,slbdtrb0(xn))
          | ~ aElementOf0(X0,slbdtrb0(xm)) )
      & ! [X1] :
          ( aElementOf0(X1,slbdtrb0(xn))
        <=> ( sdtlseqdt0(szszuzczcdt0(X1),xn)
            & aElementOf0(X1,szNzAzT0) ) )
      & aSet0(slbdtrb0(xn))
      & ! [X2] :
          ( aElementOf0(X2,slbdtrb0(xm))
        <=> ( sdtlseqdt0(szszuzczcdt0(X2),xm)
            & aElementOf0(X2,szNzAzT0) ) )
      & aSet0(slbdtrb0(xm)) )
    | ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
      & ? [X5] :
          ( ~ aElementOf0(X5,slbdtrb0(xn))
          & aElementOf0(X5,slbdtrb0(xm)) )
      & ! [X4] :
          ( aElementOf0(X4,slbdtrb0(xn))
        <=> ( sdtlseqdt0(szszuzczcdt0(X4),xn)
            & aElementOf0(X4,szNzAzT0) ) )
      & aSet0(slbdtrb0(xn))
      & ! [X3] :
          ( aElementOf0(X3,slbdtrb0(xm))
        <=> ( sdtlseqdt0(szszuzczcdt0(X3),xm)
            & aElementOf0(X3,szNzAzT0) ) )
      & aSet0(slbdtrb0(xm))
      & sdtlseqdt0(xm,xn) ) ),
    inference(ennf_transformation,[],[f57]) ).

tff(f57,plain,
    ~ ( ( ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
          & ! [X0] :
              ( aElementOf0(X0,slbdtrb0(xm))
             => aElementOf0(X0,slbdtrb0(xn)) )
          & ! [X1] :
              ( aElementOf0(X1,slbdtrb0(xn))
            <=> ( sdtlseqdt0(szszuzczcdt0(X1),xn)
                & aElementOf0(X1,szNzAzT0) ) )
          & aSet0(slbdtrb0(xn))
          & ! [X2] :
              ( aElementOf0(X2,slbdtrb0(xm))
            <=> ( sdtlseqdt0(szszuzczcdt0(X2),xm)
                & aElementOf0(X2,szNzAzT0) ) )
          & aSet0(slbdtrb0(xm)) )
       => sdtlseqdt0(xm,xn) )
      & ( sdtlseqdt0(xm,xn)
       => ( ( ! [X3] :
                ( aElementOf0(X3,slbdtrb0(xm))
              <=> ( sdtlseqdt0(szszuzczcdt0(X3),xm)
                  & aElementOf0(X3,szNzAzT0) ) )
            & aSet0(slbdtrb0(xm)) )
         => ( ( ! [X4] :
                  ( aElementOf0(X4,slbdtrb0(xn))
                <=> ( sdtlseqdt0(szszuzczcdt0(X4),xn)
                    & aElementOf0(X4,szNzAzT0) ) )
              & aSet0(slbdtrb0(xn)) )
           => ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
              | ! [X5] :
                  ( aElementOf0(X5,slbdtrb0(xm))
                 => aElementOf0(X5,slbdtrb0(xn)) ) ) ) ) ) ),
    inference(rectify,[],[f56]) ).

tff(f56,negated_conjecture,
    ~ ( ( ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
          & ! [X0] :
              ( aElementOf0(X0,slbdtrb0(xm))
             => aElementOf0(X0,slbdtrb0(xn)) )
          & ! [X0] :
              ( aElementOf0(X0,slbdtrb0(xn))
            <=> ( sdtlseqdt0(szszuzczcdt0(X0),xn)
                & aElementOf0(X0,szNzAzT0) ) )
          & aSet0(slbdtrb0(xn))
          & ! [X0] :
              ( aElementOf0(X0,slbdtrb0(xm))
            <=> ( sdtlseqdt0(szszuzczcdt0(X0),xm)
                & aElementOf0(X0,szNzAzT0) ) )
          & aSet0(slbdtrb0(xm)) )
       => sdtlseqdt0(xm,xn) )
      & ( sdtlseqdt0(xm,xn)
       => ( ( ! [X0] :
                ( aElementOf0(X0,slbdtrb0(xm))
              <=> ( sdtlseqdt0(szszuzczcdt0(X0),xm)
                  & aElementOf0(X0,szNzAzT0) ) )
            & aSet0(slbdtrb0(xm)) )
         => ( ( ! [X0] :
                  ( aElementOf0(X0,slbdtrb0(xn))
                <=> ( sdtlseqdt0(szszuzczcdt0(X0),xn)
                    & aElementOf0(X0,szNzAzT0) ) )
              & aSet0(slbdtrb0(xn)) )
           => ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
              | ! [X0] :
                  ( aElementOf0(X0,slbdtrb0(xm))
                 => aElementOf0(X0,slbdtrb0(xn)) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f55]) ).

tff(f55,conjecture,
    ( ( ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
        & ! [X0] :
            ( aElementOf0(X0,slbdtrb0(xm))
           => aElementOf0(X0,slbdtrb0(xn)) )
        & ! [X0] :
            ( aElementOf0(X0,slbdtrb0(xn))
          <=> ( sdtlseqdt0(szszuzczcdt0(X0),xn)
              & aElementOf0(X0,szNzAzT0) ) )
        & aSet0(slbdtrb0(xn))
        & ! [X0] :
            ( aElementOf0(X0,slbdtrb0(xm))
          <=> ( sdtlseqdt0(szszuzczcdt0(X0),xm)
              & aElementOf0(X0,szNzAzT0) ) )
        & aSet0(slbdtrb0(xm)) )
     => sdtlseqdt0(xm,xn) )
    & ( sdtlseqdt0(xm,xn)
     => ( ( ! [X0] :
              ( aElementOf0(X0,slbdtrb0(xm))
            <=> ( sdtlseqdt0(szszuzczcdt0(X0),xm)
                & aElementOf0(X0,szNzAzT0) ) )
          & aSet0(slbdtrb0(xm)) )
       => ( ( ! [X0] :
                ( aElementOf0(X0,slbdtrb0(xn))
              <=> ( sdtlseqdt0(szszuzczcdt0(X0),xn)
                  & aElementOf0(X0,szNzAzT0) ) )
            & aSet0(slbdtrb0(xn)) )
         => ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
            | ! [X0] :
                ( aElementOf0(X0,slbdtrb0(xm))
               => aElementOf0(X0,slbdtrb0(xn)) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.4yrqGZGu0X/Vampire---4.8_25284',m__) ).

tff(f323,plain,
    ( spl11_1
    | spl11_10 ),
    inference(avatar_split_clause,[],[f166,f280,f236]) ).

tff(f280,plain,
    ( spl11_10
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).

tff(f166,plain,
    ( sP3
    | sP4 ),
    inference(cnf_transformation,[],[f107]) ).

tff(f322,plain,
    ( spl11_1
    | spl11_18 ),
    inference(avatar_split_clause,[],[f167,f320,f236]) ).

tff(f167,plain,
    ! [X0: $i] :
      ( aElementOf0(X0,slbdtrb0(xn))
      | ~ aElementOf0(X0,slbdtrb0(xm))
      | sP4 ),
    inference(cnf_transformation,[],[f107]) ).

tff(f317,plain,
    ( spl11_1
    | ~ spl11_9 ),
    inference(avatar_split_clause,[],[f169,f275,f236]) ).

tff(f169,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | sP4 ),
    inference(cnf_transformation,[],[f107]) ).

tff(f316,plain,
    ( ~ spl11_7
    | spl11_17 ),
    inference(avatar_split_clause,[],[f160,f308,f265]) ).

tff(f265,plain,
    ( spl11_7
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).

tff(f160,plain,
    ! [X0: $i] :
      ( aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(X0,slbdtrb0(xm))
      | ~ sP0 ),
    inference(cnf_transformation,[],[f123]) ).

tff(f123,plain,
    ( ! [X0] :
        ( ( aElementOf0(X0,slbdtrb0(xm))
          | ~ sdtlseqdt0(szszuzczcdt0(X0),xm)
          | ~ aElementOf0(X0,szNzAzT0) )
        & ( ( sdtlseqdt0(szszuzczcdt0(X0),xm)
            & aElementOf0(X0,szNzAzT0) )
          | ~ aElementOf0(X0,slbdtrb0(xm)) ) )
    | ~ sP0 ),
    inference(rectify,[],[f122]) ).

tff(f122,plain,
    ( ! [X3] :
        ( ( aElementOf0(X3,slbdtrb0(xm))
          | ~ sdtlseqdt0(szszuzczcdt0(X3),xm)
          | ~ aElementOf0(X3,szNzAzT0) )
        & ( ( sdtlseqdt0(szszuzczcdt0(X3),xm)
            & aElementOf0(X3,szNzAzT0) )
          | ~ aElementOf0(X3,slbdtrb0(xm)) ) )
    | ~ sP0 ),
    inference(flattening,[],[f121]) ).

tff(f121,plain,
    ( ! [X3] :
        ( ( aElementOf0(X3,slbdtrb0(xm))
          | ~ sdtlseqdt0(szszuzczcdt0(X3),xm)
          | ~ aElementOf0(X3,szNzAzT0) )
        & ( ( sdtlseqdt0(szszuzczcdt0(X3),xm)
            & aElementOf0(X3,szNzAzT0) )
          | ~ aElementOf0(X3,slbdtrb0(xm)) ) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f102]) ).

tff(f315,plain,
    ( ~ spl11_7
    | spl11_16 ),
    inference(avatar_split_clause,[],[f161,f304,f265]) ).

tff(f161,plain,
    ! [X0: $i] :
      ( sdtlseqdt0(szszuzczcdt0(X0),xm)
      | ~ aElementOf0(X0,slbdtrb0(xm))
      | ~ sP0 ),
    inference(cnf_transformation,[],[f123]) ).

tff(f311,plain,
    ( ~ spl11_5
    | spl11_11 ),
    inference(avatar_split_clause,[],[f159,f284,f255]) ).

tff(f255,plain,
    ( spl11_5
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

tff(f159,plain,
    ! [X0: $i] :
      ( aElementOf0(X0,slbdtrb0(xn))
      | ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ sP1 ),
    inference(cnf_transformation,[],[f120]) ).

tff(f120,plain,
    ( ! [X0] :
        ( ( aElementOf0(X0,slbdtrb0(xn))
          | ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
          | ~ aElementOf0(X0,szNzAzT0) )
        & ( ( sdtlseqdt0(szszuzczcdt0(X0),xn)
            & aElementOf0(X0,szNzAzT0) )
          | ~ aElementOf0(X0,slbdtrb0(xn)) ) )
    | ~ sP1 ),
    inference(rectify,[],[f119]) ).

tff(f119,plain,
    ( ! [X4] :
        ( ( aElementOf0(X4,slbdtrb0(xn))
          | ~ sdtlseqdt0(szszuzczcdt0(X4),xn)
          | ~ aElementOf0(X4,szNzAzT0) )
        & ( ( sdtlseqdt0(szszuzczcdt0(X4),xn)
            & aElementOf0(X4,szNzAzT0) )
          | ~ aElementOf0(X4,slbdtrb0(xn)) ) )
    | ~ sP1 ),
    inference(flattening,[],[f118]) ).

tff(f118,plain,
    ( ! [X4] :
        ( ( aElementOf0(X4,slbdtrb0(xn))
          | ~ sdtlseqdt0(szszuzczcdt0(X4),xn)
          | ~ aElementOf0(X4,szNzAzT0) )
        & ( ( sdtlseqdt0(szszuzczcdt0(X4),xn)
            & aElementOf0(X4,szNzAzT0) )
          | ~ aElementOf0(X4,slbdtrb0(xn)) ) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f103]) ).

tff(f302,plain,
    ( ~ spl11_14
    | spl11_15 ),
    inference(avatar_split_clause,[],[f156,f300,f296]) ).

tff(f156,plain,
    ! [X0: $i] :
      ( aElementOf0(X0,slbdtrb0(xm))
      | ~ sdtlseqdt0(szszuzczcdt0(X0),xm)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ sP2 ),
    inference(cnf_transformation,[],[f117]) ).

tff(f117,plain,
    ( ! [X0] :
        ( ( aElementOf0(X0,slbdtrb0(xm))
          | ~ sdtlseqdt0(szszuzczcdt0(X0),xm)
          | ~ aElementOf0(X0,szNzAzT0) )
        & ( ( sdtlseqdt0(szszuzczcdt0(X0),xm)
            & aElementOf0(X0,szNzAzT0) )
          | ~ aElementOf0(X0,slbdtrb0(xm)) ) )
    | ~ sP2 ),
    inference(rectify,[],[f116]) ).

tff(f116,plain,
    ( ! [X2] :
        ( ( aElementOf0(X2,slbdtrb0(xm))
          | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
          | ~ aElementOf0(X2,szNzAzT0) )
        & ( ( sdtlseqdt0(szszuzczcdt0(X2),xm)
            & aElementOf0(X2,szNzAzT0) )
          | ~ aElementOf0(X2,slbdtrb0(xm)) ) )
    | ~ sP2 ),
    inference(flattening,[],[f115]) ).

tff(f115,plain,
    ( ! [X2] :
        ( ( aElementOf0(X2,slbdtrb0(xm))
          | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
          | ~ aElementOf0(X2,szNzAzT0) )
        & ( ( sdtlseqdt0(szszuzczcdt0(X2),xm)
            & aElementOf0(X2,szNzAzT0) )
          | ~ aElementOf0(X2,slbdtrb0(xm)) ) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f104]) ).

tff(f290,plain,
    ( ~ spl11_10
    | spl11_12 ),
    inference(avatar_split_clause,[],[f152,f288,f280]) ).

tff(f152,plain,
    ! [X0: $i] :
      ( sdtlseqdt0(szszuzczcdt0(X0),xn)
      | ~ aElementOf0(X0,slbdtrb0(xn))
      | ~ sP3 ),
    inference(cnf_transformation,[],[f114]) ).

tff(f114,plain,
    ( ! [X0] :
        ( ( aElementOf0(X0,slbdtrb0(xn))
          | ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
          | ~ aElementOf0(X0,szNzAzT0) )
        & ( ( sdtlseqdt0(szszuzczcdt0(X0),xn)
            & aElementOf0(X0,szNzAzT0) )
          | ~ aElementOf0(X0,slbdtrb0(xn)) ) )
    | ~ sP3 ),
    inference(rectify,[],[f113]) ).

tff(f113,plain,
    ( ! [X1] :
        ( ( aElementOf0(X1,slbdtrb0(xn))
          | ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
          | ~ aElementOf0(X1,szNzAzT0) )
        & ( ( sdtlseqdt0(szszuzczcdt0(X1),xn)
            & aElementOf0(X1,szNzAzT0) )
          | ~ aElementOf0(X1,slbdtrb0(xn)) ) )
    | ~ sP3 ),
    inference(flattening,[],[f112]) ).

tff(f112,plain,
    ( ! [X1] :
        ( ( aElementOf0(X1,slbdtrb0(xn))
          | ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
          | ~ aElementOf0(X1,szNzAzT0) )
        & ( ( sdtlseqdt0(szszuzczcdt0(X1),xn)
            & aElementOf0(X1,szNzAzT0) )
          | ~ aElementOf0(X1,slbdtrb0(xn)) ) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f105]) ).

tff(f278,plain,
    ( ~ spl11_1
    | spl11_9 ),
    inference(avatar_split_clause,[],[f143,f275,f236]) ).

tff(f143,plain,
    ( sdtlseqdt0(xm,xn)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f111]) ).

tff(f111,plain,
    ( ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
      & ~ aElementOf0(sK5,slbdtrb0(xn))
      & aElementOf0(sK5,slbdtrb0(xm))
      & sP1
      & aSet0(slbdtrb0(xn))
      & sP0
      & aSet0(slbdtrb0(xm))
      & sdtlseqdt0(xm,xn) )
    | ~ sP4 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f109,f110]) ).

tff(f110,plain,
    ( ? [X0] :
        ( ~ aElementOf0(X0,slbdtrb0(xn))
        & aElementOf0(X0,slbdtrb0(xm)) )
   => ( ~ aElementOf0(sK5,slbdtrb0(xn))
      & aElementOf0(sK5,slbdtrb0(xm)) ) ),
    introduced(choice_axiom,[]) ).

tff(f109,plain,
    ( ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
      & ? [X0] :
          ( ~ aElementOf0(X0,slbdtrb0(xn))
          & aElementOf0(X0,slbdtrb0(xm)) )
      & sP1
      & aSet0(slbdtrb0(xn))
      & sP0
      & aSet0(slbdtrb0(xm))
      & sdtlseqdt0(xm,xn) )
    | ~ sP4 ),
    inference(rectify,[],[f108]) ).

tff(f108,plain,
    ( ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
      & ? [X5] :
          ( ~ aElementOf0(X5,slbdtrb0(xn))
          & aElementOf0(X5,slbdtrb0(xm)) )
      & sP1
      & aSet0(slbdtrb0(xn))
      & sP0
      & aSet0(slbdtrb0(xm))
      & sdtlseqdt0(xm,xn) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f106]) ).

tff(f268,plain,
    ( ~ spl11_1
    | spl11_7 ),
    inference(avatar_split_clause,[],[f145,f265,f236]) ).

tff(f145,plain,
    ( sP0
    | ~ sP4 ),
    inference(cnf_transformation,[],[f111]) ).

tff(f258,plain,
    ( ~ spl11_1
    | spl11_5 ),
    inference(avatar_split_clause,[],[f147,f255,f236]) ).

tff(f147,plain,
    ( sP1
    | ~ sP4 ),
    inference(cnf_transformation,[],[f111]) ).

tff(f253,plain,
    ( ~ spl11_1
    | spl11_4 ),
    inference(avatar_split_clause,[],[f148,f250,f236]) ).

tff(f148,plain,
    ( aElementOf0(sK5,slbdtrb0(xm))
    | ~ sP4 ),
    inference(cnf_transformation,[],[f111]) ).

tff(f248,plain,
    ( ~ spl11_1
    | ~ spl11_3 ),
    inference(avatar_split_clause,[],[f149,f245,f236]) ).

tff(f149,plain,
    ( ~ aElementOf0(sK5,slbdtrb0(xn))
    | ~ sP4 ),
    inference(cnf_transformation,[],[f111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM542+2 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15  % 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
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 16:27:34 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.4yrqGZGu0X/Vampire---4.8_25284
% 0.60/0.75  % (25532)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)
% 0.60/0.75  % (25528)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75  % (25530)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)
% 0.60/0.75  % (25529)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)
% 0.60/0.75  % (25531)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)
% 0.60/0.75  % (25527)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)
% 0.60/0.75  % (25533)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)
% 0.60/0.76  % (25526)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)
% 0.60/0.77  % (25529)Instruction limit reached!
% 0.60/0.77  % (25529)------------------------------
% 0.60/0.77  % (25529)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (25529)Termination reason: Unknown
% 0.60/0.77  % (25529)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (25529)Memory used [KB]: 1431
% 0.60/0.77  % (25529)Time elapsed: 0.021 s
% 0.60/0.77  % (25529)Instructions burned: 33 (million)
% 0.60/0.77  % (25529)------------------------------
% 0.60/0.77  % (25529)------------------------------
% 0.60/0.78  % (25534)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)
% 0.60/0.78  % (25531)Instruction limit reached!
% 0.60/0.78  % (25531)------------------------------
% 0.60/0.78  % (25531)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (25531)Termination reason: Unknown
% 0.60/0.78  % (25531)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (25531)Memory used [KB]: 1534
% 0.60/0.78  % (25531)Time elapsed: 0.028 s
% 0.60/0.78  % (25531)Instructions burned: 45 (million)
% 0.60/0.78  % (25531)------------------------------
% 0.60/0.78  % (25531)------------------------------
% 0.60/0.78  % (25532)Instruction limit reached!
% 0.60/0.78  % (25532)------------------------------
% 0.60/0.78  % (25532)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (25532)Termination reason: Unknown
% 0.60/0.78  % (25532)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (25532)Memory used [KB]: 2391
% 0.60/0.78  % (25532)Time elapsed: 0.030 s
% 0.60/0.78  % (25532)Instructions burned: 86 (million)
% 0.60/0.78  % (25532)------------------------------
% 0.60/0.78  % (25532)------------------------------
% 0.60/0.78  % (25530)Instruction limit reached!
% 0.60/0.78  % (25530)------------------------------
% 0.60/0.78  % (25530)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (25530)Termination reason: Unknown
% 0.60/0.78  % (25530)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (25530)Memory used [KB]: 1575
% 0.60/0.78  % (25530)Time elapsed: 0.023 s
% 0.60/0.78  % (25530)Instructions burned: 34 (million)
% 0.60/0.78  % (25530)------------------------------
% 0.60/0.78  % (25530)------------------------------
% 0.60/0.78  % (25535)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)
% 0.60/0.78  % (25536)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)
% 0.60/0.78  % (25526)First to succeed.
% 0.60/0.78  % (25527)Instruction limit reached!
% 0.60/0.78  % (25527)------------------------------
% 0.60/0.78  % (25527)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (25527)Termination reason: Unknown
% 0.60/0.78  % (25527)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (25527)Memory used [KB]: 1869
% 0.60/0.78  % (25527)Time elapsed: 0.034 s
% 0.60/0.78  % (25527)Instructions burned: 51 (million)
% 0.60/0.78  % (25527)------------------------------
% 0.60/0.78  % (25527)------------------------------
% 0.60/0.79  % (25537)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)
% 0.60/0.79  % (25526)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79  % (25526)------------------------------
% 0.60/0.79  % (25526)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (25526)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (25526)Memory used [KB]: 1342
% 0.60/0.79  % (25526)Time elapsed: 0.024 s
% 0.60/0.79  % (25526)Instructions burned: 39 (million)
% 0.60/0.79  % (25526)------------------------------
% 0.60/0.79  % (25526)------------------------------
% 0.60/0.79  % (25522)Success in time 0.403 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------