TSTP Solution File: NUM566+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM566+1 : TPTP v8.2.0. 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 : n027.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 : Tue May 21 01:43:18 EDT 2024

% Result   : Theorem 1.04s 0.92s
% Output   : Refutation 1.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  152 (  19 unt;   0 def)
%            Number of atoms       :  675 ( 141 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  926 ( 403   ~; 367   |; 115   &)
%                                         (  21 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   6 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   7 con; 0-3 aty)
%            Number of variables   :  275 ( 240   !;  35   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1252,plain,
    $false,
    inference(avatar_sat_refutation,[],[f591,f643,f866,f1206,f1209,f1232]) ).

fof(f1232,plain,
    ( spl13_16
    | ~ spl13_38
    | ~ spl13_39 ),
    inference(avatar_split_clause,[],[f1231,f1204,f1200,f508]) ).

fof(f508,plain,
    ( spl13_16
  <=> ! [X0] : ~ aElementOf0(X0,szDzozmdt0(xc)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).

fof(f1200,plain,
    ( spl13_38
  <=> aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_38])]) ).

fof(f1204,plain,
    ( spl13_39
  <=> ! [X0] : ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).

fof(f1231,plain,
    ( ! [X0] : ~ aElementOf0(X0,szDzozmdt0(xc))
    | ~ spl13_38
    | ~ spl13_39 ),
    inference(subsumption_resolution,[],[f1230,f173]) ).

fof(f173,plain,
    aFunction0(xc),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,axiom,
    ( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
    & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & aFunction0(xc) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).

fof(f1230,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,szDzozmdt0(xc))
        | ~ aFunction0(xc) )
    | ~ spl13_38
    | ~ spl13_39 ),
    inference(subsumption_resolution,[],[f1220,f1201]) ).

fof(f1201,plain,
    ( aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))
    | ~ spl13_38 ),
    inference(avatar_component_clause,[],[f1200]) ).

fof(f1220,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,szDzozmdt0(xc))
        | ~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))
        | ~ aFunction0(xc) )
    | ~ spl13_39 ),
    inference(resolution,[],[f1205,f257]) ).

fof(f257,plain,
    ! [X0,X1,X7] :
      ( aElementOf0(sdtlpdtrp0(X0,X7),sdtlcdtrc0(X0,X1))
      | ~ aElementOf0(X7,X1)
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f256]) ).

fof(f256,plain,
    ! [X2,X0,X1,X7] :
      ( aElementOf0(sdtlpdtrp0(X0,X7),X2)
      | ~ aElementOf0(X7,X1)
      | sdtlcdtrc0(X0,X1) != X2
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f214]) ).

fof(f214,plain,
    ! [X2,X0,X1,X6,X7] :
      ( aElementOf0(X6,X2)
      | sdtlpdtrp0(X0,X7) != X6
      | ~ aElementOf0(X7,X1)
      | sdtlcdtrc0(X0,X1) != X2
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( sdtlcdtrc0(X0,X1) = X2
                | ( ( ! [X4] :
                        ( sdtlpdtrp0(X0,X4) != sK7(X0,X1,X2)
                        | ~ aElementOf0(X4,X1) )
                    | ~ aElementOf0(sK7(X0,X1,X2),X2) )
                  & ( ( sK7(X0,X1,X2) = sdtlpdtrp0(X0,sK8(X0,X1,X2))
                      & aElementOf0(sK8(X0,X1,X2),X1) )
                    | aElementOf0(sK7(X0,X1,X2),X2) ) )
                | ~ aSet0(X2) )
              & ( ( ! [X6] :
                      ( ( aElementOf0(X6,X2)
                        | ! [X7] :
                            ( sdtlpdtrp0(X0,X7) != X6
                            | ~ aElementOf0(X7,X1) ) )
                      & ( ( sdtlpdtrp0(X0,sK9(X0,X1,X6)) = X6
                          & aElementOf0(sK9(X0,X1,X6),X1) )
                        | ~ aElementOf0(X6,X2) ) )
                  & aSet0(X2) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f150,f153,f152,f151]) ).

fof(f151,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4] :
                ( sdtlpdtrp0(X0,X4) != X3
                | ~ aElementOf0(X4,X1) )
            | ~ aElementOf0(X3,X2) )
          & ( ? [X5] :
                ( sdtlpdtrp0(X0,X5) = X3
                & aElementOf0(X5,X1) )
            | aElementOf0(X3,X2) ) )
     => ( ( ! [X4] :
              ( sdtlpdtrp0(X0,X4) != sK7(X0,X1,X2)
              | ~ aElementOf0(X4,X1) )
          | ~ aElementOf0(sK7(X0,X1,X2),X2) )
        & ( ? [X5] :
              ( sdtlpdtrp0(X0,X5) = sK7(X0,X1,X2)
              & aElementOf0(X5,X1) )
          | aElementOf0(sK7(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f152,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( sdtlpdtrp0(X0,X5) = sK7(X0,X1,X2)
          & aElementOf0(X5,X1) )
     => ( sK7(X0,X1,X2) = sdtlpdtrp0(X0,sK8(X0,X1,X2))
        & aElementOf0(sK8(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f153,plain,
    ! [X0,X1,X6] :
      ( ? [X8] :
          ( sdtlpdtrp0(X0,X8) = X6
          & aElementOf0(X8,X1) )
     => ( sdtlpdtrp0(X0,sK9(X0,X1,X6)) = X6
        & aElementOf0(sK9(X0,X1,X6),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( sdtlcdtrc0(X0,X1) = X2
                | ? [X3] :
                    ( ( ! [X4] :
                          ( sdtlpdtrp0(X0,X4) != X3
                          | ~ aElementOf0(X4,X1) )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X5] :
                          ( sdtlpdtrp0(X0,X5) = X3
                          & aElementOf0(X5,X1) )
                      | aElementOf0(X3,X2) ) )
                | ~ aSet0(X2) )
              & ( ( ! [X6] :
                      ( ( aElementOf0(X6,X2)
                        | ! [X7] :
                            ( sdtlpdtrp0(X0,X7) != X6
                            | ~ aElementOf0(X7,X1) ) )
                      & ( ? [X8] :
                            ( sdtlpdtrp0(X0,X8) = X6
                            & aElementOf0(X8,X1) )
                        | ~ aElementOf0(X6,X2) ) )
                  & aSet0(X2) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(rectify,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( sdtlcdtrc0(X0,X1) = X2
                | ? [X3] :
                    ( ( ! [X4] :
                          ( sdtlpdtrp0(X0,X4) != X3
                          | ~ aElementOf0(X4,X1) )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X4] :
                          ( sdtlpdtrp0(X0,X4) = X3
                          & aElementOf0(X4,X1) )
                      | aElementOf0(X3,X2) ) )
                | ~ aSet0(X2) )
              & ( ( ! [X3] :
                      ( ( aElementOf0(X3,X2)
                        | ! [X4] :
                            ( sdtlpdtrp0(X0,X4) != X3
                            | ~ aElementOf0(X4,X1) ) )
                      & ( ? [X4] :
                            ( sdtlpdtrp0(X0,X4) = X3
                            & aElementOf0(X4,X1) )
                        | ~ aElementOf0(X3,X2) ) )
                  & aSet0(X2) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(flattening,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( sdtlcdtrc0(X0,X1) = X2
                | ? [X3] :
                    ( ( ! [X4] :
                          ( sdtlpdtrp0(X0,X4) != X3
                          | ~ aElementOf0(X4,X1) )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X4] :
                          ( sdtlpdtrp0(X0,X4) = X3
                          & aElementOf0(X4,X1) )
                      | aElementOf0(X3,X2) ) )
                | ~ aSet0(X2) )
              & ( ( ! [X3] :
                      ( ( aElementOf0(X3,X2)
                        | ! [X4] :
                            ( sdtlpdtrp0(X0,X4) != X3
                            | ~ aElementOf0(X4,X1) ) )
                      & ( ? [X4] :
                            ( sdtlpdtrp0(X0,X4) = X3
                            & aElementOf0(X4,X1) )
                        | ~ aElementOf0(X3,X2) ) )
                  & aSet0(X2) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( sdtlcdtrc0(X0,X1) = X2
            <=> ( ! [X3] :
                    ( aElementOf0(X3,X2)
                  <=> ? [X4] :
                        ( sdtlpdtrp0(X0,X4) = X3
                        & aElementOf0(X4,X1) ) )
                & aSet0(X2) ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0] :
      ( aFunction0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,szDzozmdt0(X0))
         => ! [X2] :
              ( sdtlcdtrc0(X0,X1) = X2
            <=> ( ! [X3] :
                    ( aElementOf0(X3,X2)
                  <=> ? [X4] :
                        ( sdtlpdtrp0(X0,X4) = X3
                        & aElementOf0(X4,X1) ) )
                & aSet0(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).

fof(f1205,plain,
    ( ! [X0] : ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
    | ~ spl13_39 ),
    inference(avatar_component_clause,[],[f1204]) ).

fof(f1209,plain,
    spl13_38,
    inference(avatar_contradiction_clause,[],[f1208]) ).

fof(f1208,plain,
    ( $false
    | spl13_38 ),
    inference(subsumption_resolution,[],[f1207,f348]) ).

fof(f348,plain,
    aSet0(szDzozmdt0(xc)),
    inference(subsumption_resolution,[],[f347,f309]) ).

fof(f309,plain,
    aSet0(xS),
    inference(subsumption_resolution,[],[f301,f205]) ).

fof(f205,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ( isCountable0(szNzAzT0)
    & aSet0(szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).

fof(f301,plain,
    ( aSet0(xS)
    | ~ aSet0(szNzAzT0) ),
    inference(resolution,[],[f188,f171]) ).

fof(f171,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ( ~ aElementOf0(sK3(X0,X1),X0)
              & aElementOf0(sK3(X0,X1),X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X3] :
                  ( aElementOf0(X3,X0)
                  | ~ aElementOf0(X3,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f141,f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,X0)
          & aElementOf0(X2,X1) )
     => ( ~ aElementOf0(sK3(X0,X1),X0)
        & aElementOf0(sK3(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f141,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X3] :
                  ( aElementOf0(X3,X0)
                  | ~ aElementOf0(X3,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(rectify,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(flattening,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0] :
      ( ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X0)
                | ~ aElementOf0(X2,X1) )
            & aSet0(X1) ) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) )
            & aSet0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

fof(f347,plain,
    ( aSet0(szDzozmdt0(xc))
    | ~ aSet0(xS) ),
    inference(subsumption_resolution,[],[f346,f170]) ).

fof(f170,plain,
    aElementOf0(xK,szNzAzT0),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).

fof(f346,plain,
    ( aSet0(szDzozmdt0(xc))
    | ~ aElementOf0(xK,szNzAzT0)
    | ~ aSet0(xS) ),
    inference(superposition,[],[f265,f174]) ).

fof(f174,plain,
    szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
    inference(cnf_transformation,[],[f76]) ).

fof(f265,plain,
    ! [X0,X1] :
      ( aSet0(slbdtsldtrb0(X0,X1))
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f221]) ).

fof(f221,plain,
    ! [X2,X0,X1] :
      ( aSet0(X2)
      | slbdtsldtrb0(X0,X1) != X2
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( slbdtsldtrb0(X0,X1) = X2
            | ( ( sbrdtbr0(sK10(X0,X1,X2)) != X1
                | ~ aSubsetOf0(sK10(X0,X1,X2),X0)
                | ~ aElementOf0(sK10(X0,X1,X2),X2) )
              & ( ( sbrdtbr0(sK10(X0,X1,X2)) = X1
                  & aSubsetOf0(sK10(X0,X1,X2),X0) )
                | aElementOf0(sK10(X0,X1,X2),X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X4] :
                  ( ( aElementOf0(X4,X2)
                    | sbrdtbr0(X4) != X1
                    | ~ aSubsetOf0(X4,X0) )
                  & ( ( sbrdtbr0(X4) = X1
                      & aSubsetOf0(X4,X0) )
                    | ~ aElementOf0(X4,X2) ) )
              & aSet0(X2) )
            | slbdtsldtrb0(X0,X1) != X2 ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f157,f158]) ).

fof(f158,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( sbrdtbr0(X3) != X1
            | ~ aSubsetOf0(X3,X0)
            | ~ aElementOf0(X3,X2) )
          & ( ( sbrdtbr0(X3) = X1
              & aSubsetOf0(X3,X0) )
            | aElementOf0(X3,X2) ) )
     => ( ( sbrdtbr0(sK10(X0,X1,X2)) != X1
          | ~ aSubsetOf0(sK10(X0,X1,X2),X0)
          | ~ aElementOf0(sK10(X0,X1,X2),X2) )
        & ( ( sbrdtbr0(sK10(X0,X1,X2)) = X1
            & aSubsetOf0(sK10(X0,X1,X2),X0) )
          | aElementOf0(sK10(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( slbdtsldtrb0(X0,X1) = X2
            | ? [X3] :
                ( ( sbrdtbr0(X3) != X1
                  | ~ aSubsetOf0(X3,X0)
                  | ~ aElementOf0(X3,X2) )
                & ( ( sbrdtbr0(X3) = X1
                    & aSubsetOf0(X3,X0) )
                  | aElementOf0(X3,X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X4] :
                  ( ( aElementOf0(X4,X2)
                    | sbrdtbr0(X4) != X1
                    | ~ aSubsetOf0(X4,X0) )
                  & ( ( sbrdtbr0(X4) = X1
                      & aSubsetOf0(X4,X0) )
                    | ~ aElementOf0(X4,X2) ) )
              & aSet0(X2) )
            | slbdtsldtrb0(X0,X1) != X2 ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(rectify,[],[f156]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( slbdtsldtrb0(X0,X1) = X2
            | ? [X3] :
                ( ( sbrdtbr0(X3) != X1
                  | ~ aSubsetOf0(X3,X0)
                  | ~ aElementOf0(X3,X2) )
                & ( ( sbrdtbr0(X3) = X1
                    & aSubsetOf0(X3,X0) )
                  | aElementOf0(X3,X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X3] :
                  ( ( aElementOf0(X3,X2)
                    | sbrdtbr0(X3) != X1
                    | ~ aSubsetOf0(X3,X0) )
                  & ( ( sbrdtbr0(X3) = X1
                      & aSubsetOf0(X3,X0) )
                    | ~ aElementOf0(X3,X2) ) )
              & aSet0(X2) )
            | slbdtsldtrb0(X0,X1) != X2 ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f155]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( slbdtsldtrb0(X0,X1) = X2
            | ? [X3] :
                ( ( sbrdtbr0(X3) != X1
                  | ~ aSubsetOf0(X3,X0)
                  | ~ aElementOf0(X3,X2) )
                & ( ( sbrdtbr0(X3) = X1
                    & aSubsetOf0(X3,X0) )
                  | aElementOf0(X3,X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X3] :
                  ( ( aElementOf0(X3,X2)
                    | sbrdtbr0(X3) != X1
                    | ~ aSubsetOf0(X3,X0) )
                  & ( ( sbrdtbr0(X3) = X1
                      & aSubsetOf0(X3,X0) )
                    | ~ aElementOf0(X3,X2) ) )
              & aSet0(X2) )
            | slbdtsldtrb0(X0,X1) != X2 ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( slbdtsldtrb0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( sbrdtbr0(X3) = X1
                  & aSubsetOf0(X3,X0) ) )
            & aSet0(X2) ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( slbdtsldtrb0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( sbrdtbr0(X3) = X1
                  & aSubsetOf0(X3,X0) ) )
            & aSet0(X2) ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aSet0(X0) )
     => ! [X2] :
          ( slbdtsldtrb0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( sbrdtbr0(X3) = X1
                  & aSubsetOf0(X3,X0) ) )
            & aSet0(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).

fof(f1207,plain,
    ( ~ aSet0(szDzozmdt0(xc))
    | spl13_38 ),
    inference(resolution,[],[f1202,f187]) ).

fof(f187,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aSet0(X0)
     => aSubsetOf0(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).

fof(f1202,plain,
    ( ~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))
    | spl13_38 ),
    inference(avatar_component_clause,[],[f1200]) ).

fof(f1206,plain,
    ( ~ spl13_38
    | spl13_39
    | ~ spl13_21 ),
    inference(avatar_split_clause,[],[f1198,f589,f1204,f1200]) ).

fof(f589,plain,
    ( spl13_21
  <=> ! [X0] :
        ( sdtlpdtrp0(xc,slcrc0) != X0
        | ~ aElementOf0(X0,xT) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).

fof(f1198,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
        | ~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc)) )
    | ~ spl13_21 ),
    inference(subsumption_resolution,[],[f1197,f389]) ).

fof(f389,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
      | aElementOf0(X0,xT) ),
    inference(subsumption_resolution,[],[f386,f168]) ).

fof(f168,plain,
    aSet0(xT),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,axiom,
    ( isFinite0(xT)
    & aSet0(xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).

fof(f386,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
      | aElementOf0(X0,xT)
      | ~ aSet0(xT) ),
    inference(resolution,[],[f189,f175]) ).

fof(f175,plain,
    aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
    inference(cnf_transformation,[],[f76]) ).

fof(f189,plain,
    ! [X3,X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | ~ aElementOf0(X3,X1)
      | aElementOf0(X3,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f1197,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,xT)
        | ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
        | ~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc)) )
    | ~ spl13_21 ),
    inference(subsumption_resolution,[],[f1196,f173]) ).

fof(f1196,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,xT)
        | ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
        | ~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))
        | ~ aFunction0(xc) )
    | ~ spl13_21 ),
    inference(duplicate_literal_removal,[],[f1195]) ).

fof(f1195,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,xT)
        | ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
        | ~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))
        | ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
        | ~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))
        | ~ aFunction0(xc) )
    | ~ spl13_21 ),
    inference(resolution,[],[f1058,f259]) ).

fof(f259,plain,
    ! [X0,X1,X6] :
      ( aElementOf0(sK9(X0,X1,X6),X1)
      | ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f212]) ).

fof(f212,plain,
    ! [X2,X0,X1,X6] :
      ( aElementOf0(sK9(X0,X1,X6),X1)
      | ~ aElementOf0(X6,X2)
      | sdtlcdtrc0(X0,X1) != X2
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f1058,plain,
    ( ! [X0,X1] :
        ( ~ aElementOf0(sK9(xc,X0,X1),szDzozmdt0(xc))
        | ~ aElementOf0(X1,xT)
        | ~ aElementOf0(X1,sdtlcdtrc0(xc,X0))
        | ~ aSubsetOf0(X0,szDzozmdt0(xc)) )
    | ~ spl13_21 ),
    inference(subsumption_resolution,[],[f1055,f173]) ).

fof(f1055,plain,
    ( ! [X0,X1] :
        ( ~ aElementOf0(X1,xT)
        | ~ aElementOf0(sK9(xc,X0,X1),szDzozmdt0(xc))
        | ~ aElementOf0(X1,sdtlcdtrc0(xc,X0))
        | ~ aSubsetOf0(X0,szDzozmdt0(xc))
        | ~ aFunction0(xc) )
    | ~ spl13_21 ),
    inference(superposition,[],[f970,f258]) ).

fof(f258,plain,
    ! [X0,X1,X6] :
      ( sdtlpdtrp0(X0,sK9(X0,X1,X6)) = X6
      | ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f213]) ).

fof(f213,plain,
    ! [X2,X0,X1,X6] :
      ( sdtlpdtrp0(X0,sK9(X0,X1,X6)) = X6
      | ~ aElementOf0(X6,X2)
      | sdtlcdtrc0(X0,X1) != X2
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f970,plain,
    ( ! [X0] :
        ( ~ aElementOf0(sdtlpdtrp0(xc,X0),xT)
        | ~ aElementOf0(X0,szDzozmdt0(xc)) )
    | ~ spl13_21 ),
    inference(equality_resolution,[],[f648]) ).

fof(f648,plain,
    ( ! [X0,X1] :
        ( sdtlpdtrp0(xc,X0) != X1
        | ~ aElementOf0(X1,xT)
        | ~ aElementOf0(X0,szDzozmdt0(xc)) )
    | ~ spl13_21 ),
    inference(superposition,[],[f590,f270]) ).

fof(f270,plain,
    ! [X0] :
      ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
      | ~ aElementOf0(X0,szDzozmdt0(xc)) ),
    inference(forward_demodulation,[],[f243,f174]) ).

fof(f243,plain,
    ! [X0] :
      ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
      | ~ aElementOf0(X0,slbdtsldtrb0(xS,xK)) ),
    inference(definition_unfolding,[],[f182,f180]) ).

fof(f180,plain,
    sz00 = xK,
    inference(cnf_transformation,[],[f78]) ).

fof(f78,axiom,
    sz00 = xK,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).

fof(f182,plain,
    ! [X0] :
      ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
      | ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00)) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
      | ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00)) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
     => sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3507) ).

fof(f590,plain,
    ( ! [X0] :
        ( sdtlpdtrp0(xc,slcrc0) != X0
        | ~ aElementOf0(X0,xT) )
    | ~ spl13_21 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f866,plain,
    ~ spl13_16,
    inference(avatar_contradiction_clause,[],[f865]) ).

fof(f865,plain,
    ( $false
    | ~ spl13_16 ),
    inference(subsumption_resolution,[],[f864,f348]) ).

fof(f864,plain,
    ( ~ aSet0(szDzozmdt0(xc))
    | ~ spl13_16 ),
    inference(subsumption_resolution,[],[f858,f444]) ).

fof(f444,plain,
    slcrc0 != szDzozmdt0(xc),
    inference(subsumption_resolution,[],[f443,f309]) ).

fof(f443,plain,
    ( slcrc0 != szDzozmdt0(xc)
    | ~ aSet0(xS) ),
    inference(subsumption_resolution,[],[f442,f310]) ).

fof(f310,plain,
    ~ isFinite0(xS),
    inference(subsumption_resolution,[],[f298,f309]) ).

fof(f298,plain,
    ( ~ isFinite0(xS)
    | ~ aSet0(xS) ),
    inference(resolution,[],[f198,f172]) ).

fof(f172,plain,
    isCountable0(xS),
    inference(cnf_transformation,[],[f75]) ).

fof(f198,plain,
    ! [X0] :
      ( ~ isCountable0(X0)
      | ~ isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ isFinite0(X0)
      | ~ isCountable0(X0)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ isFinite0(X0)
      | ~ isCountable0(X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ( isCountable0(X0)
        & aSet0(X0) )
     => ~ isFinite0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).

fof(f442,plain,
    ( slcrc0 != szDzozmdt0(xc)
    | isFinite0(xS)
    | ~ aSet0(xS) ),
    inference(subsumption_resolution,[],[f441,f170]) ).

fof(f441,plain,
    ( slcrc0 != szDzozmdt0(xc)
    | ~ aElementOf0(xK,szNzAzT0)
    | isFinite0(xS)
    | ~ aSet0(xS) ),
    inference(superposition,[],[f195,f174]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( slcrc0 != slbdtsldtrb0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ! [X1] :
          ( slcrc0 != slbdtsldtrb0(X0,X1)
          | ~ aElementOf0(X1,szNzAzT0) )
      | isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ! [X1] :
          ( slcrc0 != slbdtsldtrb0(X0,X1)
          | ~ aElementOf0(X1,szNzAzT0) )
      | isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,axiom,
    ! [X0] :
      ( ( ~ isFinite0(X0)
        & aSet0(X0) )
     => ! [X1] :
          ( aElementOf0(X1,szNzAzT0)
         => slcrc0 != slbdtsldtrb0(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelNSet) ).

fof(f858,plain,
    ( slcrc0 = szDzozmdt0(xc)
    | ~ aSet0(szDzozmdt0(xc))
    | ~ spl13_16 ),
    inference(resolution,[],[f509,f241]) ).

fof(f241,plain,
    ! [X0] :
      ( aElementOf0(sK12(X0),X0)
      | slcrc0 = X0
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | aElementOf0(sK12(X0),X0)
        | ~ aSet0(X0) )
      & ( ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f165,f166]) ).

fof(f166,plain,
    ! [X0] :
      ( ? [X1] : aElementOf0(X1,X0)
     => aElementOf0(sK12(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f165,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(rectify,[],[f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(flattening,[],[f163]) ).

fof(f163,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(nnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( slcrc0 = X0
    <=> ( ! [X1] : ~ aElementOf0(X1,X0)
        & aSet0(X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( slcrc0 = X0
    <=> ( ~ ? [X1] : aElementOf0(X1,X0)
        & aSet0(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).

fof(f509,plain,
    ( ! [X0] : ~ aElementOf0(X0,szDzozmdt0(xc))
    | ~ spl13_16 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f643,plain,
    ~ spl13_20,
    inference(avatar_contradiction_clause,[],[f642]) ).

fof(f642,plain,
    ( $false
    | ~ spl13_20 ),
    inference(subsumption_resolution,[],[f641,f172]) ).

fof(f641,plain,
    ( ~ isCountable0(xS)
    | ~ spl13_20 ),
    inference(subsumption_resolution,[],[f640,f309]) ).

fof(f640,plain,
    ( ~ aSet0(xS)
    | ~ isCountable0(xS)
    | ~ spl13_20 ),
    inference(duplicate_literal_removal,[],[f636]) ).

fof(f636,plain,
    ( ~ aSet0(xS)
    | ~ isCountable0(xS)
    | ~ aSet0(xS)
    | ~ spl13_20 ),
    inference(resolution,[],[f587,f187]) ).

fof(f587,plain,
    ( ! [X1] :
        ( ~ aSubsetOf0(X1,xS)
        | ~ aSet0(X1)
        | ~ isCountable0(X1) )
    | ~ spl13_20 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f586,plain,
    ( spl13_20
  <=> ! [X1] :
        ( ~ isCountable0(X1)
        | ~ aSet0(X1)
        | ~ aSubsetOf0(X1,xS) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).

fof(f591,plain,
    ( spl13_20
    | spl13_21 ),
    inference(avatar_split_clause,[],[f576,f589,f586]) ).

fof(f576,plain,
    ! [X0,X1] :
      ( sdtlpdtrp0(xc,slcrc0) != X0
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT)
      | ~ aSet0(X1) ),
    inference(duplicate_literal_removal,[],[f558]) ).

fof(f558,plain,
    ! [X0,X1] :
      ( sdtlpdtrp0(xc,slcrc0) != X0
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT)
      | ~ aSet0(X1)
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT) ),
    inference(superposition,[],[f184,f539]) ).

fof(f539,plain,
    ! [X0,X1] :
      ( slcrc0 = sK2(X0,X1)
      | ~ aSet0(X1)
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT) ),
    inference(subsumption_resolution,[],[f538,f490]) ).

fof(f490,plain,
    ! [X0,X1] :
      ( aSet0(sK2(X1,X0))
      | ~ isCountable0(X0)
      | ~ aSubsetOf0(X0,xS)
      | ~ aElementOf0(X1,xT)
      | ~ aSet0(X0) ),
    inference(duplicate_literal_removal,[],[f488]) ).

fof(f488,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ isCountable0(X0)
      | ~ aSubsetOf0(X0,xS)
      | ~ aElementOf0(X1,xT)
      | aSet0(sK2(X1,X0))
      | ~ aSet0(X0) ),
    inference(resolution,[],[f480,f188]) ).

fof(f480,plain,
    ! [X0,X1] :
      ( aSubsetOf0(sK2(X0,X1),X1)
      | ~ aSet0(X1)
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT) ),
    inference(subsumption_resolution,[],[f476,f170]) ).

fof(f476,plain,
    ! [X0,X1] :
      ( aSubsetOf0(sK2(X0,X1),X1)
      | ~ aElementOf0(xK,szNzAzT0)
      | ~ aSet0(X1)
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT) ),
    inference(resolution,[],[f264,f183]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( aElementOf0(sK2(X0,X1),slbdtsldtrb0(X1,xK))
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( sdtlpdtrp0(xc,sK2(X0,X1)) != X0
            & aElementOf0(sK2(X0,X1),slbdtsldtrb0(X1,xK)) )
          | ~ isCountable0(X1)
          | ~ aSubsetOf0(X1,xS) )
      | ~ aElementOf0(X0,xT) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f91,f137]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtlpdtrp0(xc,X2) != X0
          & aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
     => ( sdtlpdtrp0(xc,sK2(X0,X1)) != X0
        & aElementOf0(sK2(X0,X1),slbdtsldtrb0(X1,xK)) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( sdtlpdtrp0(xc,X2) != X0
              & aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
          | ~ isCountable0(X1)
          | ~ aSubsetOf0(X1,xS) )
      | ~ aElementOf0(X0,xT) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,negated_conjecture,
    ~ ? [X0] :
        ( ? [X1] :
            ( ! [X2] :
                ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
               => sdtlpdtrp0(xc,X2) = X0 )
            & isCountable0(X1)
            & aSubsetOf0(X1,xS) )
        & aElementOf0(X0,xT) ),
    inference(negated_conjecture,[],[f81]) ).

fof(f81,conjecture,
    ? [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
             => sdtlpdtrp0(xc,X2) = X0 )
          & isCountable0(X1)
          & aSubsetOf0(X1,xS) )
      & aElementOf0(X0,xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f264,plain,
    ! [X0,X1,X4] :
      ( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
      | aSubsetOf0(X4,X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f222]) ).

fof(f222,plain,
    ! [X2,X0,X1,X4] :
      ( aSubsetOf0(X4,X0)
      | ~ aElementOf0(X4,X2)
      | slbdtsldtrb0(X0,X1) != X2
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f538,plain,
    ! [X0,X1] :
      ( slcrc0 = sK2(X0,X1)
      | ~ aSet0(sK2(X0,X1))
      | ~ aSet0(X1)
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT) ),
    inference(trivial_inequality_removal,[],[f537]) ).

fof(f537,plain,
    ! [X0,X1] :
      ( xK != xK
      | slcrc0 = sK2(X0,X1)
      | ~ aSet0(sK2(X0,X1))
      | ~ aSet0(X1)
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT) ),
    inference(superposition,[],[f248,f533]) ).

fof(f533,plain,
    ! [X0,X1] :
      ( xK = sbrdtbr0(sK2(X0,X1))
      | ~ aSet0(X1)
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT) ),
    inference(subsumption_resolution,[],[f528,f170]) ).

fof(f528,plain,
    ! [X0,X1] :
      ( xK = sbrdtbr0(sK2(X0,X1))
      | ~ aElementOf0(xK,szNzAzT0)
      | ~ aSet0(X1)
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT) ),
    inference(resolution,[],[f263,f183]) ).

fof(f263,plain,
    ! [X0,X1,X4] :
      ( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
      | sbrdtbr0(X4) = X1
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f223]) ).

fof(f223,plain,
    ! [X2,X0,X1,X4] :
      ( sbrdtbr0(X4) = X1
      | ~ aElementOf0(X4,X2)
      | slbdtsldtrb0(X0,X1) != X2
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f248,plain,
    ! [X0] :
      ( sbrdtbr0(X0) != xK
      | slcrc0 = X0
      | ~ aSet0(X0) ),
    inference(definition_unfolding,[],[f230,f180]) ).

fof(f230,plain,
    ! [X0] :
      ( slcrc0 = X0
      | sz00 != sbrdtbr0(X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0] :
      ( ( ( sz00 = sbrdtbr0(X0)
          | slcrc0 != X0 )
        & ( slcrc0 = X0
          | sz00 != sbrdtbr0(X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).

fof(f184,plain,
    ! [X0,X1] :
      ( sdtlpdtrp0(xc,sK2(X0,X1)) != X0
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT) ),
    inference(cnf_transformation,[],[f138]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : NUM566+1 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.13  % 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
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 05:31:52 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.34  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/benchmark/theBenchmark.p
% 0.60/0.86  % (19469)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.86  % (19467)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 theBenchmark for (2995ds/51Mi)
% 0.60/0.86  % (19470)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 theBenchmark for (2995ds/34Mi)
% 0.60/0.86  % (19468)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.86  % (19471)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.86  % (19472)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 theBenchmark for (2995ds/83Mi)
% 0.60/0.86  % (19466)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 theBenchmark for (2995ds/34Mi)
% 0.60/0.86  % (19473)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.69/0.88  % (19470)Instruction limit reached!
% 0.69/0.88  % (19470)------------------------------
% 0.69/0.88  % (19470)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (19470)Termination reason: Unknown
% 0.69/0.88  % (19470)Termination phase: Saturation
% 0.69/0.88  
% 0.69/0.88  % (19470)Memory used [KB]: 1689
% 0.69/0.88  % (19470)Time elapsed: 0.044 s
% 0.69/0.88  % (19470)Instructions burned: 35 (million)
% 0.69/0.88  % (19470)------------------------------
% 0.69/0.88  % (19470)------------------------------
% 0.69/0.88  % (19469)Instruction limit reached!
% 0.69/0.88  % (19469)------------------------------
% 0.69/0.88  % (19469)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (19469)Termination reason: Unknown
% 0.69/0.88  % (19469)Termination phase: Saturation
% 0.69/0.88  
% 0.69/0.88  % (19469)Memory used [KB]: 1548
% 0.69/0.88  % (19469)Time elapsed: 0.045 s
% 0.69/0.88  % (19469)Instructions burned: 33 (million)
% 0.69/0.88  % (19469)------------------------------
% 0.69/0.88  % (19469)------------------------------
% 0.69/0.88  % (19466)Instruction limit reached!
% 0.69/0.88  % (19466)------------------------------
% 0.69/0.88  % (19466)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (19466)Termination reason: Unknown
% 0.69/0.88  % (19466)Termination phase: Saturation
% 0.69/0.88  
% 0.69/0.88  % (19466)Memory used [KB]: 1490
% 0.69/0.88  % (19466)Time elapsed: 0.045 s
% 0.69/0.88  % (19466)Instructions burned: 34 (million)
% 0.69/0.88  % (19466)------------------------------
% 0.69/0.88  % (19466)------------------------------
% 0.69/0.88  % (19474)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 theBenchmark for (2994ds/55Mi)
% 0.69/0.88  % (19475)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 theBenchmark for (2994ds/50Mi)
% 0.69/0.88  % (19476)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.76/0.89  % (19473)Instruction limit reached!
% 0.76/0.89  % (19473)------------------------------
% 0.76/0.89  % (19473)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.89  % (19473)Termination reason: Unknown
% 0.76/0.89  % (19473)Termination phase: Saturation
% 0.76/0.89  
% 0.76/0.89  % (19473)Memory used [KB]: 1657
% 0.76/0.89  % (19473)Time elapsed: 0.059 s
% 0.76/0.89  % (19473)Instructions burned: 57 (million)
% 0.76/0.89  % (19473)------------------------------
% 0.76/0.89  % (19473)------------------------------
% 0.76/0.89  % (19467)Instruction limit reached!
% 0.76/0.89  % (19467)------------------------------
% 0.76/0.89  % (19467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.89  % (19467)Termination reason: Unknown
% 0.76/0.89  % (19467)Termination phase: Saturation
% 0.76/0.89  
% 0.76/0.89  % (19467)Memory used [KB]: 2004
% 0.76/0.89  % (19467)Time elapsed: 0.059 s
% 0.76/0.89  % (19467)Instructions burned: 52 (million)
% 0.76/0.89  % (19467)------------------------------
% 0.76/0.89  % (19467)------------------------------
% 0.76/0.89  % (19471)Instruction limit reached!
% 0.76/0.89  % (19471)------------------------------
% 0.76/0.89  % (19471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.89  % (19471)Termination reason: Unknown
% 0.76/0.89  % (19471)Termination phase: Saturation
% 0.76/0.89  
% 0.76/0.89  % (19471)Memory used [KB]: 1598
% 0.76/0.89  % (19471)Time elapsed: 0.055 s
% 0.76/0.89  % (19471)Instructions burned: 46 (million)
% 0.76/0.89  % (19471)------------------------------
% 0.76/0.89  % (19471)------------------------------
% 0.76/0.89  % (19477)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 theBenchmark for (2994ds/52Mi)
% 0.76/0.90  % (19478)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 theBenchmark for (2994ds/518Mi)
% 0.76/0.90  % (19479)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 theBenchmark for (2994ds/42Mi)
% 0.76/0.91  % (19468)Instruction limit reached!
% 0.76/0.91  % (19468)------------------------------
% 0.76/0.91  % (19468)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.91  % (19468)Termination reason: Unknown
% 0.76/0.91  % (19468)Termination phase: Saturation
% 0.76/0.91  
% 0.76/0.91  % (19468)Memory used [KB]: 1874
% 0.76/0.91  % (19468)Time elapsed: 0.077 s
% 0.76/0.91  % (19468)Instructions burned: 79 (million)
% 0.76/0.91  % (19468)------------------------------
% 0.76/0.91  % (19468)------------------------------
% 0.76/0.91  % (19475)Instruction limit reached!
% 0.76/0.91  % (19475)------------------------------
% 0.76/0.91  % (19475)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.91  % (19475)Termination reason: Unknown
% 0.76/0.91  % (19475)Termination phase: Saturation
% 0.76/0.91  
% 0.76/0.91  % (19475)Memory used [KB]: 1809
% 0.76/0.91  % (19475)Time elapsed: 0.033 s
% 0.76/0.91  % (19475)Instructions burned: 50 (million)
% 0.76/0.91  % (19475)------------------------------
% 0.76/0.91  % (19475)------------------------------
% 0.76/0.91  % (19474)Instruction limit reached!
% 0.76/0.91  % (19474)------------------------------
% 0.76/0.91  % (19474)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.91  % (19474)Termination reason: Unknown
% 0.76/0.91  % (19474)Termination phase: Saturation
% 0.76/0.91  
% 0.76/0.91  % (19474)Memory used [KB]: 2050
% 0.76/0.91  % (19474)Time elapsed: 0.035 s
% 0.76/0.91  % (19474)Instructions burned: 56 (million)
% 0.76/0.91  % (19474)------------------------------
% 0.76/0.91  % (19474)------------------------------
% 0.76/0.91  % (19480)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 theBenchmark for (2994ds/243Mi)
% 0.76/0.92  % (19481)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2994ds/117Mi)
% 0.76/0.92  % (19476)First to succeed.
% 0.76/0.92  % (19482)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 theBenchmark for (2994ds/143Mi)
% 0.76/0.92  % (19476)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19465"
% 1.04/0.92  % (19476)Refutation found. Thanks to Tanya!
% 1.04/0.92  % SZS status Theorem for theBenchmark
% 1.04/0.92  % SZS output start Proof for theBenchmark
% See solution above
% 1.04/0.92  % (19476)------------------------------
% 1.04/0.92  % (19476)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.04/0.92  % (19476)Termination reason: Refutation
% 1.04/0.92  
% 1.04/0.92  % (19476)Memory used [KB]: 1552
% 1.04/0.92  % (19476)Time elapsed: 0.040 s
% 1.04/0.92  % (19476)Instructions burned: 57 (million)
% 1.04/0.92  % (19465)Success in time 0.579 s
% 1.04/0.92  % Vampire---4.8 exiting
%------------------------------------------------------------------------------