TSTP Solution File: NUM563+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM563+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 03:32:05 EDT 2024

% Result   : Theorem 1.38s 0.95s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  120 (  17 unt;   0 def)
%            Number of atoms       :  497 (  98 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  671 ( 294   ~; 267   |;  79   &)
%                                         (  16 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   5 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :  175 ( 156   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3211,plain,
    $false,
    inference(avatar_sat_refutation,[],[f527,f1173,f2873,f2972,f3206]) ).

fof(f3206,plain,
    ( ~ spl26_1
    | ~ spl26_16
    | ~ spl26_66 ),
    inference(avatar_contradiction_clause,[],[f3205]) ).

fof(f3205,plain,
    ( $false
    | ~ spl26_1
    | ~ spl26_16
    | ~ spl26_66 ),
    inference(subsumption_resolution,[],[f3204,f492]) ).

fof(f492,plain,
    ( aSet0(xS)
    | ~ spl26_1 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f491,plain,
    ( spl26_1
  <=> aSet0(xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).

fof(f3204,plain,
    ( ~ aSet0(xS)
    | ~ spl26_16
    | ~ spl26_66 ),
    inference(subsumption_resolution,[],[f3203,f551]) ).

fof(f551,plain,
    aElementOf0(sbrdtbr0(slcrc0),szNzAzT0),
    inference(superposition,[],[f277,f482]) ).

fof(f482,plain,
    xK = sbrdtbr0(slcrc0),
    inference(subsumption_resolution,[],[f465,f475]) ).

fof(f475,plain,
    aSet0(slcrc0),
    inference(equality_resolution,[],[f400]) ).

fof(f400,plain,
    ! [X0] :
      ( aSet0(X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f260]) ).

fof(f260,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | aElementOf0(sK22(X0),X0)
        | ~ aSet0(X0) )
      & ( ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f258,f259]) ).

fof(f259,plain,
    ! [X0] :
      ( ? [X1] : aElementOf0(X1,X0)
     => aElementOf0(sK22(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f258,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(rectify,[],[f257]) ).

fof(f257,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(flattening,[],[f256]) ).

fof(f256,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(nnf_transformation,[],[f161]) ).

fof(f161,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/tmp/tmp.difF2KVVsW/Vampire---4.8_25535',mDefEmp) ).

fof(f465,plain,
    ( xK = sbrdtbr0(slcrc0)
    | ~ aSet0(slcrc0) ),
    inference(equality_resolution,[],[f436]) ).

fof(f436,plain,
    ! [X0] :
      ( sbrdtbr0(X0) = xK
      | slcrc0 != X0
      | ~ aSet0(X0) ),
    inference(definition_unfolding,[],[f350,f287]) ).

fof(f287,plain,
    sz00 = xK,
    inference(cnf_transformation,[],[f199]) ).

fof(f199,plain,
    ( ! [X0] :
        ( ! [X1] :
            ( ( sdtlpdtrp0(xc,sK6(X0,X1)) != X0
              & aElementOf0(sK6(X0,X1),slbdtsldtrb0(X1,xK)) )
            | ~ isCountable0(X1)
            | ~ aSubsetOf0(X1,xS) )
        | ~ aElementOf0(X0,xT) )
    & sz00 = xK ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f89,f198]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtlpdtrp0(xc,X2) != X0
          & aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
     => ( sdtlpdtrp0(xc,sK6(X0,X1)) != X0
        & aElementOf0(sK6(X0,X1),slbdtsldtrb0(X1,xK)) ) ),
    introduced(choice_axiom,[]) ).

fof(f89,plain,
    ( ! [X0] :
        ( ! [X1] :
            ( ? [X2] :
                ( sdtlpdtrp0(xc,X2) != X0
                & aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
            | ~ isCountable0(X1)
            | ~ aSubsetOf0(X1,xS) )
        | ~ aElementOf0(X0,xT) )
    & sz00 = xK ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,negated_conjecture,
    ~ ( sz00 = xK
     => ? [X0] :
          ( ? [X1] :
              ( ! [X2] :
                  ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
                 => sdtlpdtrp0(xc,X2) = X0 )
              & isCountable0(X1)
              & aSubsetOf0(X1,xS) )
          & aElementOf0(X0,xT) ) ),
    inference(negated_conjecture,[],[f78]) ).

fof(f78,conjecture,
    ( sz00 = xK
   => ? [X0] :
        ( ? [X1] :
            ( ! [X2] :
                ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
               => sdtlpdtrp0(xc,X2) = X0 )
            & isCountable0(X1)
            & aSubsetOf0(X1,xS) )
        & aElementOf0(X0,xT) ) ),
    file('/export/starexec/sandbox/tmp/tmp.difF2KVVsW/Vampire---4.8_25535',m__) ).

fof(f350,plain,
    ! [X0] :
      ( sz00 = sbrdtbr0(X0)
      | slcrc0 != X0
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f231,plain,
    ! [X0] :
      ( ( ( sz00 = sbrdtbr0(X0)
          | slcrc0 != X0 )
        & ( slcrc0 = X0
          | sz00 != sbrdtbr0(X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f132]) ).

fof(f132,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/tmp/tmp.difF2KVVsW/Vampire---4.8_25535',mCardEmpty) ).

fof(f277,plain,
    aElementOf0(xK,szNzAzT0),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox/tmp/tmp.difF2KVVsW/Vampire---4.8_25535',m__3418) ).

fof(f3203,plain,
    ( ~ aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)
    | ~ aSet0(xS)
    | ~ spl26_16
    | ~ spl26_66 ),
    inference(subsumption_resolution,[],[f3194,f1119]) ).

fof(f1119,plain,
    ( aSubsetOf0(slcrc0,xS)
    | ~ spl26_16 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f1118,plain,
    ( spl26_16
  <=> aSubsetOf0(slcrc0,xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).

fof(f3194,plain,
    ( ~ aSubsetOf0(slcrc0,xS)
    | ~ aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)
    | ~ aSet0(xS)
    | ~ spl26_66 ),
    inference(resolution,[],[f3045,f461]) ).

fof(f461,plain,
    ! [X0,X4] :
      ( aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4)))
      | ~ aSubsetOf0(X4,X0)
      | ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f460]) ).

fof(f460,plain,
    ! [X2,X0,X4] :
      ( aElementOf0(X4,X2)
      | ~ aSubsetOf0(X4,X0)
      | slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2
      | ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f343]) ).

fof(f343,plain,
    ! [X2,X0,X1,X4] :
      ( aElementOf0(X4,X2)
      | sbrdtbr0(X4) != X1
      | ~ aSubsetOf0(X4,X0)
      | slbdtsldtrb0(X0,X1) != X2
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f230]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( slbdtsldtrb0(X0,X1) = X2
            | ( ( sbrdtbr0(sK16(X0,X1,X2)) != X1
                | ~ aSubsetOf0(sK16(X0,X1,X2),X0)
                | ~ aElementOf0(sK16(X0,X1,X2),X2) )
              & ( ( sbrdtbr0(sK16(X0,X1,X2)) = X1
                  & aSubsetOf0(sK16(X0,X1,X2),X0) )
                | aElementOf0(sK16(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,[sK16])],[f228,f229]) ).

fof(f229,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( sbrdtbr0(X3) != X1
            | ~ aSubsetOf0(X3,X0)
            | ~ aElementOf0(X3,X2) )
          & ( ( sbrdtbr0(X3) = X1
              & aSubsetOf0(X3,X0) )
            | aElementOf0(X3,X2) ) )
     => ( ( sbrdtbr0(sK16(X0,X1,X2)) != X1
          | ~ aSubsetOf0(sK16(X0,X1,X2),X0)
          | ~ aElementOf0(sK16(X0,X1,X2),X2) )
        & ( ( sbrdtbr0(sK16(X0,X1,X2)) = X1
            & aSubsetOf0(sK16(X0,X1,X2),X0) )
          | aElementOf0(sK16(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f228,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,[],[f227]) ).

fof(f227,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,[],[f226]) ).

fof(f226,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,[],[f130]) ).

fof(f130,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,[],[f129]) ).

fof(f129,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/tmp/tmp.difF2KVVsW/Vampire---4.8_25535',mDefSel) ).

fof(f3045,plain,
    ( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sbrdtbr0(slcrc0)))
    | ~ spl26_66 ),
    inference(forward_demodulation,[],[f3044,f482]) ).

fof(f3044,plain,
    ( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,xK))
    | ~ spl26_66 ),
    inference(forward_demodulation,[],[f3043,f281]) ).

fof(f281,plain,
    szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,axiom,
    ( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
    & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & aFunction0(xc) ),
    file('/export/starexec/sandbox/tmp/tmp.difF2KVVsW/Vampire---4.8_25535',m__3453) ).

fof(f3043,plain,
    ( ~ aElementOf0(slcrc0,szDzozmdt0(xc))
    | ~ spl26_66 ),
    inference(subsumption_resolution,[],[f3042,f280]) ).

fof(f280,plain,
    aFunction0(xc),
    inference(cnf_transformation,[],[f76]) ).

fof(f3042,plain,
    ( ~ aElementOf0(slcrc0,szDzozmdt0(xc))
    | ~ aFunction0(xc)
    | ~ spl26_66 ),
    inference(subsumption_resolution,[],[f3014,f282]) ).

fof(f282,plain,
    aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
    inference(cnf_transformation,[],[f76]) ).

fof(f3014,plain,
    ( ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
    | ~ aElementOf0(slcrc0,szDzozmdt0(xc))
    | ~ aFunction0(xc)
    | ~ spl26_66 ),
    inference(resolution,[],[f2998,f316]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
      | ~ aElementOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
          | ~ aElementOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,axiom,
    ! [X0] :
      ( aFunction0(X0)
     => ! [X1] :
          ( aElementOf0(X1,szDzozmdt0(X0))
         => aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
    file('/export/starexec/sandbox/tmp/tmp.difF2KVVsW/Vampire---4.8_25535',mImgRng) ).

fof(f2998,plain,
    ( ! [X0] :
        ( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),X0)
        | ~ aSubsetOf0(X0,xT) )
    | ~ spl26_66 ),
    inference(subsumption_resolution,[],[f2995,f275]) ).

fof(f275,plain,
    aSet0(xT),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,axiom,
    ( isFinite0(xT)
    & aSet0(xT) ),
    file('/export/starexec/sandbox/tmp/tmp.difF2KVVsW/Vampire---4.8_25535',m__3291) ).

fof(f2995,plain,
    ( ! [X0] :
        ( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),X0)
        | ~ aSubsetOf0(X0,xT)
        | ~ aSet0(xT) )
    | ~ spl26_66 ),
    inference(resolution,[],[f2984,f308]) ).

fof(f308,plain,
    ! [X3,X0,X1] :
      ( aElementOf0(X3,X0)
      | ~ aElementOf0(X3,X1)
      | ~ aSubsetOf0(X1,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ( ~ aElementOf0(sK9(X0,X1),X0)
              & aElementOf0(sK9(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,[sK9])],[f204,f205]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,X0)
          & aElementOf0(X2,X1) )
     => ( ~ aElementOf0(sK9(X0,X1),X0)
        & aElementOf0(sK9(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f204,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,[],[f203]) ).

fof(f203,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,[],[f202]) ).

fof(f202,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,[],[f111]) ).

fof(f111,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/tmp/tmp.difF2KVVsW/Vampire---4.8_25535',mDefSub) ).

fof(f2984,plain,
    ( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
    | ~ spl26_66 ),
    inference(equality_resolution,[],[f2872]) ).

fof(f2872,plain,
    ( ! [X0] :
        ( sdtlpdtrp0(xc,slcrc0) != X0
        | ~ aElementOf0(X0,xT) )
    | ~ spl26_66 ),
    inference(avatar_component_clause,[],[f2871]) ).

fof(f2871,plain,
    ( spl26_66
  <=> ! [X0] :
        ( sdtlpdtrp0(xc,slcrc0) != X0
        | ~ aElementOf0(X0,xT) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_66])]) ).

fof(f2972,plain,
    ( ~ spl26_1
    | ~ spl26_65 ),
    inference(avatar_contradiction_clause,[],[f2971]) ).

fof(f2971,plain,
    ( $false
    | ~ spl26_1
    | ~ spl26_65 ),
    inference(subsumption_resolution,[],[f2970,f279]) ).

fof(f279,plain,
    isCountable0(xS),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/tmp.difF2KVVsW/Vampire---4.8_25535',m__3435) ).

fof(f2970,plain,
    ( ~ isCountable0(xS)
    | ~ spl26_1
    | ~ spl26_65 ),
    inference(subsumption_resolution,[],[f2968,f492]) ).

fof(f2968,plain,
    ( ~ aSet0(xS)
    | ~ isCountable0(xS)
    | ~ spl26_65 ),
    inference(duplicate_literal_removal,[],[f2959]) ).

fof(f2959,plain,
    ( ~ aSet0(xS)
    | ~ isCountable0(xS)
    | ~ aSet0(xS)
    | ~ spl26_65 ),
    inference(resolution,[],[f2869,f306]) ).

fof(f306,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aSet0(X0)
     => aSubsetOf0(X0,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.difF2KVVsW/Vampire---4.8_25535',mSubRefl) ).

fof(f2869,plain,
    ( ! [X1] :
        ( ~ aSubsetOf0(X1,xS)
        | ~ aSet0(X1)
        | ~ isCountable0(X1) )
    | ~ spl26_65 ),
    inference(avatar_component_clause,[],[f2868]) ).

fof(f2868,plain,
    ( spl26_65
  <=> ! [X1] :
        ( ~ isCountable0(X1)
        | ~ aSet0(X1)
        | ~ aSubsetOf0(X1,xS) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_65])]) ).

fof(f2873,plain,
    ( spl26_65
    | spl26_66 ),
    inference(avatar_split_clause,[],[f2856,f2871,f2868]) ).

fof(f2856,plain,
    ! [X0,X1] :
      ( sdtlpdtrp0(xc,slcrc0) != X0
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT)
      | ~ aSet0(X1) ),
    inference(duplicate_literal_removal,[],[f2839]) ).

fof(f2839,plain,
    ! [X0,X1] :
      ( sdtlpdtrp0(xc,slcrc0) != X0
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT)
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT)
      | ~ aSet0(X1) ),
    inference(superposition,[],[f289,f1277]) ).

fof(f1277,plain,
    ! [X0,X1] :
      ( slcrc0 = sK6(X0,X1)
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT)
      | ~ aSet0(X1) ),
    inference(subsumption_resolution,[],[f1269,f1055]) ).

fof(f1055,plain,
    ! [X0,X1] :
      ( aSet0(sK6(X1,X0))
      | ~ aElementOf0(X1,xT)
      | ~ isCountable0(X0)
      | ~ aSet0(X0)
      | ~ aSubsetOf0(X0,xS) ),
    inference(duplicate_literal_removal,[],[f1049]) ).

fof(f1049,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X0,xS)
      | ~ aElementOf0(X1,xT)
      | ~ isCountable0(X0)
      | ~ aSet0(X0)
      | aSet0(sK6(X1,X0))
      | ~ aSet0(X0) ),
    inference(resolution,[],[f733,f307]) ).

fof(f307,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f733,plain,
    ! [X0,X1] :
      ( aSubsetOf0(sK6(X1,X0),X0)
      | ~ aSubsetOf0(X0,xS)
      | ~ aElementOf0(X1,xT)
      | ~ isCountable0(X0)
      | ~ aSet0(X0) ),
    inference(subsumption_resolution,[],[f729,f277]) ).

fof(f729,plain,
    ! [X0,X1] :
      ( ~ isCountable0(X0)
      | ~ aSubsetOf0(X0,xS)
      | ~ aElementOf0(X1,xT)
      | aSubsetOf0(sK6(X1,X0),X0)
      | ~ aElementOf0(xK,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(resolution,[],[f288,f463]) ).

fof(f463,plain,
    ! [X0,X1,X4] :
      ( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
      | aSubsetOf0(X4,X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f341]) ).

fof(f341,plain,
    ! [X2,X0,X1,X4] :
      ( aSubsetOf0(X4,X0)
      | ~ aElementOf0(X4,X2)
      | slbdtsldtrb0(X0,X1) != X2
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f230]) ).

fof(f288,plain,
    ! [X0,X1] :
      ( aElementOf0(sK6(X0,X1),slbdtsldtrb0(X1,xK))
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f1269,plain,
    ! [X0,X1] :
      ( slcrc0 = sK6(X0,X1)
      | ~ aSet0(sK6(X0,X1))
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT)
      | ~ aSet0(X1) ),
    inference(trivial_inequality_removal,[],[f1268]) ).

fof(f1268,plain,
    ! [X0,X1] :
      ( sbrdtbr0(slcrc0) != sbrdtbr0(slcrc0)
      | slcrc0 = sK6(X0,X1)
      | ~ aSet0(sK6(X0,X1))
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT)
      | ~ aSet0(X1) ),
    inference(superposition,[],[f483,f735]) ).

fof(f735,plain,
    ! [X0,X1] :
      ( sbrdtbr0(slcrc0) = sbrdtbr0(sK6(X1,X0))
      | ~ isCountable0(X0)
      | ~ aSubsetOf0(X0,xS)
      | ~ aElementOf0(X1,xT)
      | ~ aSet0(X0) ),
    inference(forward_demodulation,[],[f734,f482]) ).

fof(f734,plain,
    ! [X0,X1] :
      ( ~ isCountable0(X0)
      | ~ aSubsetOf0(X0,xS)
      | ~ aElementOf0(X1,xT)
      | xK = sbrdtbr0(sK6(X1,X0))
      | ~ aSet0(X0) ),
    inference(subsumption_resolution,[],[f730,f277]) ).

fof(f730,plain,
    ! [X0,X1] :
      ( ~ isCountable0(X0)
      | ~ aSubsetOf0(X0,xS)
      | ~ aElementOf0(X1,xT)
      | xK = sbrdtbr0(sK6(X1,X0))
      | ~ aElementOf0(xK,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(resolution,[],[f288,f462]) ).

fof(f462,plain,
    ! [X0,X1,X4] :
      ( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
      | sbrdtbr0(X4) = X1
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f342]) ).

fof(f342,plain,
    ! [X2,X0,X1,X4] :
      ( sbrdtbr0(X4) = X1
      | ~ aElementOf0(X4,X2)
      | slbdtsldtrb0(X0,X1) != X2
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f230]) ).

fof(f483,plain,
    ! [X0] :
      ( sbrdtbr0(X0) != sbrdtbr0(slcrc0)
      | slcrc0 = X0
      | ~ aSet0(X0) ),
    inference(forward_demodulation,[],[f437,f482]) ).

fof(f437,plain,
    ! [X0] :
      ( slcrc0 = X0
      | sbrdtbr0(X0) != xK
      | ~ aSet0(X0) ),
    inference(definition_unfolding,[],[f349,f287]) ).

fof(f349,plain,
    ! [X0] :
      ( slcrc0 = X0
      | sz00 != sbrdtbr0(X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f289,plain,
    ! [X0,X1] :
      ( sdtlpdtrp0(xc,sK6(X0,X1)) != X0
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f1173,plain,
    ( ~ spl26_1
    | spl26_16 ),
    inference(avatar_contradiction_clause,[],[f1170]) ).

fof(f1170,plain,
    ( $false
    | ~ spl26_1
    | spl26_16 ),
    inference(unit_resulting_resolution,[],[f492,f475,f474,f1120,f309]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( aElementOf0(sK9(X0,X1),X1)
      | aSubsetOf0(X1,X0)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f1120,plain,
    ( ~ aSubsetOf0(slcrc0,xS)
    | spl26_16 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f474,plain,
    ! [X2] : ~ aElementOf0(X2,slcrc0),
    inference(equality_resolution,[],[f401]) ).

fof(f401,plain,
    ! [X2,X0] :
      ( ~ aElementOf0(X2,X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f260]) ).

fof(f527,plain,
    spl26_1,
    inference(avatar_split_clause,[],[f526,f491]) ).

fof(f526,plain,
    aSet0(xS),
    inference(subsumption_resolution,[],[f503,f298]) ).

fof(f298,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ( isCountable0(szNzAzT0)
    & aSet0(szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/tmp.difF2KVVsW/Vampire---4.8_25535',mNATSet) ).

fof(f503,plain,
    ( aSet0(xS)
    | ~ aSet0(szNzAzT0) ),
    inference(resolution,[],[f278,f307]) ).

fof(f278,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnf_transformation,[],[f75]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : NUM563+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.10  % 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
% 0.10/0.30  % Computer : n012.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Apr 30 16:44:56 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.30  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.difF2KVVsW/Vampire---4.8_25535
% 0.55/0.78  % (25649)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)
% 0.55/0.78  % (25651)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.55/0.78  % (25652)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)
% 0.55/0.78  % (25653)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)
% 0.55/0.78  % (25654)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)
% 0.55/0.78  % (25655)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)
% 0.55/0.78  % (25656)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)
% 0.61/0.79  % (25650)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)
% 0.61/0.79  % (25652)Instruction limit reached!
% 0.61/0.79  % (25652)------------------------------
% 0.61/0.79  % (25652)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (25652)Termination reason: Unknown
% 0.61/0.79  % (25652)Termination phase: Saturation
% 0.61/0.79  % (25653)Instruction limit reached!
% 0.61/0.79  % (25653)------------------------------
% 0.61/0.79  % (25653)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (25653)Termination reason: Unknown
% 0.61/0.79  % (25653)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (25653)Memory used [KB]: 1685
% 0.61/0.79  % (25653)Time elapsed: 0.019 s
% 0.61/0.79  % (25653)Instructions burned: 35 (million)
% 0.61/0.79  % (25653)------------------------------
% 0.61/0.79  % (25653)------------------------------
% 0.61/0.79  
% 0.61/0.79  % (25652)Memory used [KB]: 1536
% 0.61/0.79  % (25652)Time elapsed: 0.019 s
% 0.61/0.79  % (25652)Instructions burned: 33 (million)
% 0.61/0.79  % (25652)------------------------------
% 0.61/0.79  % (25652)------------------------------
% 0.61/0.80  % (25657)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 (2995ds/55Mi)
% 0.61/0.80  % (25658)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 (2995ds/50Mi)
% 0.61/0.80  % (25654)Instruction limit reached!
% 0.61/0.80  % (25654)------------------------------
% 0.61/0.80  % (25654)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (25654)Termination reason: Unknown
% 0.61/0.80  % (25654)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (25654)Memory used [KB]: 1567
% 0.61/0.80  % (25654)Time elapsed: 0.025 s
% 0.61/0.80  % (25654)Instructions burned: 45 (million)
% 0.61/0.80  % (25654)------------------------------
% 0.61/0.80  % (25654)------------------------------
% 0.61/0.80  % (25649)Instruction limit reached!
% 0.61/0.80  % (25649)------------------------------
% 0.61/0.80  % (25649)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (25649)Termination reason: Unknown
% 0.61/0.80  % (25649)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (25649)Memory used [KB]: 1515
% 0.61/0.80  % (25649)Time elapsed: 0.035 s
% 0.61/0.80  % (25649)Instructions burned: 37 (million)
% 0.61/0.80  % (25649)------------------------------
% 0.61/0.80  % (25649)------------------------------
% 0.61/0.80  % (25659)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.81  % (25656)Instruction limit reached!
% 0.61/0.81  % (25656)------------------------------
% 0.61/0.81  % (25656)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (25656)Termination reason: Unknown
% 0.61/0.81  % (25656)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (25656)Memory used [KB]: 1690
% 0.61/0.81  % (25656)Time elapsed: 0.030 s
% 0.61/0.81  % (25656)Instructions burned: 56 (million)
% 0.61/0.81  % (25656)------------------------------
% 0.61/0.81  % (25656)------------------------------
% 0.61/0.81  % (25650)Instruction limit reached!
% 0.61/0.81  % (25650)------------------------------
% 0.61/0.81  % (25650)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (25650)Termination reason: Unknown
% 0.61/0.81  % (25650)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (25650)Memory used [KB]: 1533
% 0.61/0.81  % (25650)Time elapsed: 0.017 s
% 0.61/0.81  % (25650)Instructions burned: 51 (million)
% 0.61/0.81  % (25650)------------------------------
% 0.61/0.81  % (25650)------------------------------
% 0.61/0.81  % (25660)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.61/0.81  % (25662)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.61/0.82  % (25655)Instruction limit reached!
% 0.61/0.82  % (25655)------------------------------
% 0.61/0.82  % (25655)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (25655)Termination reason: Unknown
% 0.61/0.82  % (25655)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (25655)Memory used [KB]: 2359
% 0.61/0.82  % (25655)Time elapsed: 0.044 s
% 0.61/0.82  % (25655)Instructions burned: 83 (million)
% 0.61/0.82  % (25655)------------------------------
% 0.61/0.82  % (25655)------------------------------
% 0.61/0.82  % (25651)Instruction limit reached!
% 0.61/0.82  % (25651)------------------------------
% 0.61/0.82  % (25651)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (25651)Termination reason: Unknown
% 0.61/0.82  % (25651)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (25651)Memory used [KB]: 1946
% 0.61/0.82  % (25651)Time elapsed: 0.045 s
% 0.61/0.82  % (25651)Instructions burned: 79 (million)
% 0.61/0.82  % (25651)------------------------------
% 0.61/0.82  % (25651)------------------------------
% 0.61/0.82  % (25661)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.61/0.82  % (25658)Instruction limit reached!
% 0.61/0.82  % (25658)------------------------------
% 0.61/0.82  % (25658)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (25658)Termination reason: Unknown
% 0.61/0.82  % (25658)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (25658)Memory used [KB]: 1789
% 0.61/0.82  % (25658)Time elapsed: 0.047 s
% 0.61/0.82  % (25658)Instructions burned: 50 (million)
% 0.61/0.82  % (25658)------------------------------
% 0.61/0.82  % (25658)------------------------------
% 0.61/0.82  % (25663)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.61/0.82  % (25664)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.61/0.82  % (25657)Instruction limit reached!
% 0.61/0.82  % (25657)------------------------------
% 0.61/0.82  % (25657)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (25657)Termination reason: Unknown
% 0.61/0.82  % (25657)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (25657)Memory used [KB]: 2039
% 0.61/0.82  % (25657)Time elapsed: 0.049 s
% 0.61/0.82  % (25657)Instructions burned: 55 (million)
% 0.61/0.82  % (25657)------------------------------
% 0.61/0.82  % (25657)------------------------------
% 0.61/0.83  % (25665)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.61/0.83  % (25666)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2994ds/93Mi)
% 0.61/0.83  % (25662)Instruction limit reached!
% 0.61/0.83  % (25662)------------------------------
% 0.61/0.83  % (25662)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (25662)Termination reason: Unknown
% 0.61/0.83  % (25662)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (25662)Memory used [KB]: 1769
% 0.61/0.83  % (25662)Time elapsed: 0.047 s
% 0.61/0.83  % (25662)Instructions burned: 43 (million)
% 0.61/0.83  % (25662)------------------------------
% 0.61/0.83  % (25662)------------------------------
% 0.61/0.83  % (25667)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.61/0.84  % (25660)Instruction limit reached!
% 0.61/0.84  % (25660)------------------------------
% 0.61/0.84  % (25660)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (25660)Termination reason: Unknown
% 0.61/0.84  % (25660)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (25660)Memory used [KB]: 1736
% 0.61/0.84  % (25660)Time elapsed: 0.043 s
% 0.61/0.84  % (25660)Instructions burned: 53 (million)
% 0.61/0.84  % (25660)------------------------------
% 0.61/0.84  % (25660)------------------------------
% 0.61/0.85  % (25668)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.61/0.86  % (25668)Instruction limit reached!
% 0.61/0.86  % (25668)------------------------------
% 0.61/0.86  % (25668)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.86  % (25668)Termination reason: Unknown
% 0.61/0.86  % (25668)Termination phase: Saturation
% 0.61/0.86  
% 0.61/0.86  % (25668)Memory used [KB]: 1384
% 0.61/0.86  % (25668)Time elapsed: 0.011 s
% 0.61/0.86  % (25668)Instructions burned: 33 (million)
% 0.61/0.86  % (25668)------------------------------
% 0.61/0.86  % (25668)------------------------------
% 0.94/0.87  % (25667)Instruction limit reached!
% 0.94/0.87  % (25667)------------------------------
% 0.94/0.87  % (25667)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.94/0.87  % (25667)Termination reason: Unknown
% 0.94/0.87  % (25667)Termination phase: Saturation
% 0.94/0.87  
% 0.94/0.87  % (25667)Memory used [KB]: 2028
% 0.94/0.87  % (25667)Time elapsed: 0.036 s
% 0.94/0.87  % (25667)Instructions burned: 63 (million)
% 0.94/0.87  % (25667)------------------------------
% 0.94/0.87  % (25667)------------------------------
% 0.94/0.87  % (25670)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 0.94/0.87  % (25666)Instruction limit reached!
% 0.94/0.87  % (25666)------------------------------
% 0.94/0.87  % (25666)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.94/0.87  % (25666)Termination reason: Unknown
% 0.94/0.87  % (25666)Termination phase: Saturation
% 0.94/0.87  
% 0.94/0.87  % (25666)Memory used [KB]: 2199
% 0.94/0.87  % (25666)Time elapsed: 0.049 s
% 0.94/0.87  % (25666)Instructions burned: 93 (million)
% 0.94/0.87  % (25666)------------------------------
% 0.94/0.87  % (25666)------------------------------
% 1.03/0.88  % (25669)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 1.03/0.88  % (25671)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 1.03/0.88  % (25664)Instruction limit reached!
% 1.03/0.88  % (25664)------------------------------
% 1.03/0.88  % (25664)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.88  % (25664)Termination reason: Unknown
% 1.03/0.88  % (25664)Termination phase: Saturation
% 1.03/0.88  
% 1.03/0.88  % (25664)Memory used [KB]: 2088
% 1.03/0.88  % (25664)Time elapsed: 0.062 s
% 1.03/0.88  % (25664)Instructions burned: 118 (million)
% 1.03/0.88  % (25664)------------------------------
% 1.03/0.88  % (25664)------------------------------
% 1.03/0.89  % (25672)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 1.03/0.90  % (25670)Instruction limit reached!
% 1.03/0.90  % (25670)------------------------------
% 1.03/0.90  % (25670)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.90  % (25670)Termination reason: Unknown
% 1.03/0.90  % (25670)Termination phase: Saturation
% 1.03/0.90  
% 1.03/0.90  % (25670)Memory used [KB]: 2028
% 1.03/0.90  % (25670)Time elapsed: 0.029 s
% 1.03/0.90  % (25670)Instructions burned: 56 (million)
% 1.03/0.90  % (25670)------------------------------
% 1.03/0.90  % (25670)------------------------------
% 1.03/0.90  % (25665)Instruction limit reached!
% 1.03/0.90  % (25665)------------------------------
% 1.03/0.90  % (25665)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.90  % (25665)Termination reason: Unknown
% 1.03/0.90  % (25665)Termination phase: Saturation
% 1.03/0.90  
% 1.03/0.90  % (25665)Memory used [KB]: 2525
% 1.03/0.90  % (25665)Time elapsed: 0.078 s
% 1.03/0.90  % (25665)Instructions burned: 144 (million)
% 1.03/0.90  % (25665)------------------------------
% 1.03/0.90  % (25665)------------------------------
% 1.03/0.90  % (25673)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 1.03/0.90  % (25671)Instruction limit reached!
% 1.03/0.90  % (25671)------------------------------
% 1.03/0.90  % (25671)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.90  % (25671)Termination reason: Unknown
% 1.03/0.90  % (25671)Termination phase: Saturation
% 1.03/0.90  
% 1.03/0.90  % (25671)Memory used [KB]: 1702
% 1.03/0.90  % (25671)Time elapsed: 0.028 s
% 1.03/0.90  % (25671)Instructions burned: 54 (million)
% 1.03/0.90  % (25671)------------------------------
% 1.03/0.90  % (25671)------------------------------
% 1.03/0.91  % (25674)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 1.23/0.91  % (25675)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 1.23/0.91  % (25659)Instruction limit reached!
% 1.23/0.91  % (25659)------------------------------
% 1.23/0.91  % (25659)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.23/0.91  % (25659)Termination reason: Unknown
% 1.23/0.91  % (25659)Termination phase: Saturation
% 1.23/0.91  
% 1.23/0.91  % (25659)Memory used [KB]: 3042
% 1.23/0.91  % (25659)Time elapsed: 0.130 s
% 1.23/0.91  % (25659)Instructions burned: 208 (million)
% 1.23/0.91  % (25659)------------------------------
% 1.23/0.91  % (25659)------------------------------
% 1.23/0.91  % (25672)Instruction limit reached!
% 1.23/0.91  % (25672)------------------------------
% 1.23/0.91  % (25672)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.23/0.91  % (25672)Termination reason: Unknown
% 1.23/0.91  % (25672)Termination phase: Saturation
% 1.23/0.91  
% 1.23/0.91  % (25672)Memory used [KB]: 2109
% 1.23/0.91  % (25672)Time elapsed: 0.028 s
% 1.23/0.91  % (25672)Instructions burned: 47 (million)
% 1.23/0.91  % (25672)------------------------------
% 1.23/0.91  % (25672)------------------------------
% 1.23/0.91  % (25676)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2993ds/109Mi)
% 1.23/0.92  % (25677)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2993ds/161Mi)
% 1.23/0.92  % (25674)Instruction limit reached!
% 1.23/0.92  % (25674)------------------------------
% 1.23/0.92  % (25674)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.23/0.92  % (25674)Termination reason: Unknown
% 1.23/0.92  % (25674)Termination phase: Saturation
% 1.23/0.92  
% 1.23/0.92  % (25674)Memory used [KB]: 1443
% 1.23/0.92  % (25674)Time elapsed: 0.019 s
% 1.23/0.92  % (25674)Instructions burned: 35 (million)
% 1.23/0.92  % (25674)------------------------------
% 1.23/0.92  % (25674)------------------------------
% 1.23/0.93  % (25678)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2993ds/69Mi)
% 1.38/0.94  % (25661)First to succeed.
% 1.38/0.94  % (25675)Instruction limit reached!
% 1.38/0.94  % (25675)------------------------------
% 1.38/0.94  % (25675)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.38/0.94  % (25675)Termination reason: Unknown
% 1.38/0.94  % (25675)Termination phase: Saturation
% 1.38/0.94  
% 1.38/0.94  % (25675)Memory used [KB]: 2246
% 1.38/0.94  % (25675)Time elapsed: 0.039 s
% 1.38/0.94  % (25675)Instructions burned: 87 (million)
% 1.38/0.94  % (25675)------------------------------
% 1.38/0.94  % (25675)------------------------------
% 1.38/0.95  % (25661)Refutation found. Thanks to Tanya!
% 1.38/0.95  % SZS status Theorem for Vampire---4
% 1.38/0.95  % SZS output start Proof for Vampire---4
% See solution above
% 1.38/0.95  % (25661)------------------------------
% 1.38/0.95  % (25661)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.38/0.95  % (25661)Termination reason: Refutation
% 1.38/0.95  
% 1.38/0.95  % (25661)Memory used [KB]: 2614
% 1.38/0.95  % (25661)Time elapsed: 0.160 s
% 1.38/0.95  % (25661)Instructions burned: 210 (million)
% 1.38/0.95  % (25661)------------------------------
% 1.38/0.95  % (25661)------------------------------
% 1.38/0.95  % (25645)Success in time 0.637 s
% 1.38/0.95  % Vampire---4.8 exiting
%------------------------------------------------------------------------------