TSTP Solution File: NUM598+3 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM598+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 Apr 30 14:34:46 EDT 2024

% Result   : Theorem 76.74s 11.34s
% Output   : Refutation 76.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  117 (  36 unt;   0 def)
%            Number of atoms       :  498 ( 108 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  564 ( 183   ~; 164   |; 180   &)
%                                         (   8 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   8 con; 0-2 aty)
%            Number of variables   :  170 ( 140   !;  30   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f956434,plain,
    $false,
    inference(subsumption_resolution,[],[f956433,f930387]) ).

fof(f930387,plain,
    sdtlpdtrp0(xe,sK136(xe)) = szmzizndt0(sdtlpdtrp0(xN,sK136(xe))),
    inference(unit_resulting_resolution,[],[f929455,f708]) ).

fof(f708,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
    inference(cnf_transformation,[],[f376]) ).

fof(f376,plain,
    ! [X0] :
      ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
        & ! [X1] :
            ( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
            | ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
        & aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f243]) ).

fof(f243,plain,
    ! [X0] :
      ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
        & ! [X1] :
            ( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
            | ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
        & aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) )
      | ~ sP0(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f929455,plain,
    sP0(sK136(xe)),
    inference(unit_resulting_resolution,[],[f929451,f711]) ).

fof(f711,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f244,plain,
    ( ! [X0] :
        ( sP0(X0)
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xe)
    & aFunction0(xe) ),
    inference(definition_folding,[],[f117,f243]) ).

fof(f117,plain,
    ( ! [X0] :
        ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
          & ! [X1] :
              ( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
              | ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
          & aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xe)
    & aFunction0(xe) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
          & ! [X1] :
              ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
             => sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
          & aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ) )
    & szNzAzT0 = szDzozmdt0(xe)
    & aFunction0(xe) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).

fof(f929451,plain,
    aElementOf0(sK136(xe),szNzAzT0),
    inference(forward_demodulation,[],[f929446,f710]) ).

fof(f710,plain,
    szNzAzT0 = szDzozmdt0(xe),
    inference(cnf_transformation,[],[f244]) ).

fof(f929446,plain,
    aElementOf0(sK136(xe),szDzozmdt0(xe)),
    inference(unit_resulting_resolution,[],[f929442,f1034]) ).

fof(f1034,plain,
    ! [X0] :
      ( ~ sP77(X0)
      | aElementOf0(sK136(X0),szDzozmdt0(X0)) ),
    inference(cnf_transformation,[],[f605]) ).

fof(f605,plain,
    ! [X0] :
      ( ( sdtlpdtrp0(X0,sK136(X0)) = sdtlpdtrp0(X0,sK137(X0))
        & sK136(X0) != sK137(X0)
        & aElementOf0(sK137(X0),szDzozmdt0(X0))
        & aElementOf0(sK136(X0),szDzozmdt0(X0)) )
      | ~ sP77(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK136,sK137])],[f603,f604]) ).

fof(f604,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( sdtlpdtrp0(X0,X1) = sdtlpdtrp0(X0,X2)
          & X1 != X2
          & aElementOf0(X2,szDzozmdt0(X0))
          & aElementOf0(X1,szDzozmdt0(X0)) )
     => ( sdtlpdtrp0(X0,sK136(X0)) = sdtlpdtrp0(X0,sK137(X0))
        & sK136(X0) != sK137(X0)
        & aElementOf0(sK137(X0),szDzozmdt0(X0))
        & aElementOf0(sK136(X0),szDzozmdt0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f603,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( sdtlpdtrp0(X0,X1) = sdtlpdtrp0(X0,X2)
          & X1 != X2
          & aElementOf0(X2,szDzozmdt0(X0))
          & aElementOf0(X1,szDzozmdt0(X0)) )
      | ~ sP77(X0) ),
    inference(rectify,[],[f602]) ).

fof(f602,plain,
    ! [X0] :
      ( ? [X2,X3] :
          ( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
          & X2 != X3
          & aElementOf0(X3,szDzozmdt0(X0))
          & aElementOf0(X2,szDzozmdt0(X0)) )
      | ~ sP77(X0) ),
    inference(nnf_transformation,[],[f335]) ).

fof(f335,plain,
    ! [X0] :
      ( ? [X2,X3] :
          ( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
          & X2 != X3
          & aElementOf0(X3,szDzozmdt0(X0))
          & aElementOf0(X2,szDzozmdt0(X0)) )
      | ~ sP77(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).

fof(f929442,plain,
    sP77(xe),
    inference(subsumption_resolution,[],[f929441,f702]) ).

fof(f702,plain,
    ~ isCountable0(xO),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ isCountable0(xO),
    inference(flattening,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ isCountable0(xO),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    isCountable0(xO),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f929441,plain,
    ( isCountable0(xO)
    | sP77(xe) ),
    inference(forward_demodulation,[],[f929440,f819]) ).

fof(f819,plain,
    xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(cnf_transformation,[],[f442]) ).

fof(f442,plain,
    ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & ! [X0] :
        ( ( aElementOf0(X0,xO)
          | ! [X1] :
              ( sdtlpdtrp0(xe,X1) != X0
              | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
        & ( ( sdtlpdtrp0(xe,sK113(X0)) = X0
            & aElementOf0(sK113(X0),sdtlbdtrb0(xd,szDzizrdt0(xd))) )
          | ~ aElementOf0(X0,xO) ) )
    & ! [X3] :
        ( ( aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          | szDzizrdt0(xd) != sdtlpdtrp0(xd,X3)
          | ~ aElementOf0(X3,szDzozmdt0(xd)) )
        & ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X3)
            & aElementOf0(X3,szDzozmdt0(xd)) )
          | ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
    & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aSet0(xO) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK113])],[f440,f441]) ).

fof(f441,plain,
    ! [X0] :
      ( ? [X2] :
          ( sdtlpdtrp0(xe,X2) = X0
          & aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
     => ( sdtlpdtrp0(xe,sK113(X0)) = X0
        & aElementOf0(sK113(X0),sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
    introduced(choice_axiom,[]) ).

fof(f440,plain,
    ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & ! [X0] :
        ( ( aElementOf0(X0,xO)
          | ! [X1] :
              ( sdtlpdtrp0(xe,X1) != X0
              | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
        & ( ? [X2] :
              ( sdtlpdtrp0(xe,X2) = X0
              & aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
          | ~ aElementOf0(X0,xO) ) )
    & ! [X3] :
        ( ( aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          | szDzizrdt0(xd) != sdtlpdtrp0(xd,X3)
          | ~ aElementOf0(X3,szDzozmdt0(xd)) )
        & ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X3)
            & aElementOf0(X3,szDzozmdt0(xd)) )
          | ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
    & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aSet0(xO) ),
    inference(rectify,[],[f439]) ).

fof(f439,plain,
    ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & ! [X0] :
        ( ( aElementOf0(X0,xO)
          | ! [X1] :
              ( sdtlpdtrp0(xe,X1) != X0
              | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
        & ( ? [X1] :
              ( sdtlpdtrp0(xe,X1) = X0
              & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
          | ~ aElementOf0(X0,xO) ) )
    & ! [X2] :
        ( ( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          | szDzizrdt0(xd) != sdtlpdtrp0(xd,X2)
          | ~ aElementOf0(X2,szDzozmdt0(xd)) )
        & ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
            & aElementOf0(X2,szDzozmdt0(xd)) )
          | ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
    & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aSet0(xO) ),
    inference(flattening,[],[f438]) ).

fof(f438,plain,
    ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & ! [X0] :
        ( ( aElementOf0(X0,xO)
          | ! [X1] :
              ( sdtlpdtrp0(xe,X1) != X0
              | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
        & ( ? [X1] :
              ( sdtlpdtrp0(xe,X1) = X0
              & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
          | ~ aElementOf0(X0,xO) ) )
    & ! [X2] :
        ( ( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          | szDzizrdt0(xd) != sdtlpdtrp0(xd,X2)
          | ~ aElementOf0(X2,szDzozmdt0(xd)) )
        & ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
            & aElementOf0(X2,szDzozmdt0(xd)) )
          | ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
    & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aSet0(xO) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f102,plain,
    ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & ! [X0] :
        ( aElementOf0(X0,xO)
      <=> ? [X1] :
            ( sdtlpdtrp0(xe,X1) = X0
            & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
    & ! [X2] :
        ( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      <=> ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
          & aElementOf0(X2,szDzozmdt0(xd)) ) )
    & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aSet0(xO) ),
    inference(rectify,[],[f95]) ).

fof(f95,axiom,
    ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & ! [X0] :
        ( aElementOf0(X0,xO)
      <=> ? [X1] :
            ( sdtlpdtrp0(xe,X1) = X0
            & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
    & ! [X0] :
        ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      <=> ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
          & aElementOf0(X0,szDzozmdt0(xd)) ) )
    & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aSet0(xO) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).

fof(f929440,plain,
    ( sP77(xe)
    | isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
    inference(subsumption_resolution,[],[f929355,f417985]) ).

fof(f417985,plain,
    isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(subsumption_resolution,[],[f417984,f1003]) ).

fof(f1003,plain,
    isCountable0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

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

fof(f417984,plain,
    ( ~ isCountable0(szNzAzT0)
    | isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(forward_demodulation,[],[f417983,f787]) ).

fof(f787,plain,
    szNzAzT0 = szDzozmdt0(xd),
    inference(cnf_transformation,[],[f266]) ).

fof(f266,plain,
    ( ! [X0] :
        ( ! [X1] :
            ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
            | ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
              & sP19(X1,X0) )
            | ~ aSet0(X1) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xd)
    & aFunction0(xd) ),
    inference(definition_folding,[],[f123,f265,f264]) ).

fof(f264,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aElementOf0(X2,X1) )
      | ~ sP18(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f265,plain,
    ! [X1,X0] :
      ( sbrdtbr0(X1) != xk
      | ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & sP18(X0,X1) )
      | ~ sP19(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f123,plain,
    ( ! [X0] :
        ( ! [X1] :
            ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
            | ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
              & ( sbrdtbr0(X1) != xk
                | ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
                  & ? [X2] :
                      ( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
                      & aElementOf0(X2,X1) ) ) ) )
            | ~ aSet0(X1) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xd)
    & aFunction0(xd) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ( ! [X0] :
        ( ! [X1] :
            ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
            | ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
              & ( sbrdtbr0(X1) != xk
                | ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
                  & ? [X2] :
                      ( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
                      & aElementOf0(X2,X1) ) ) ) )
            | ~ aSet0(X1) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xd)
    & aFunction0(xd) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ! [X1] :
            ( ( ( aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
                | ( sbrdtbr0(X1) = xk
                  & ( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
                    | ! [X2] :
                        ( aElementOf0(X2,X1)
                       => aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
              & aSet0(X1) )
           => sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ) )
    & szNzAzT0 = szDzozmdt0(xd)
    & aFunction0(xd) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).

fof(f417983,plain,
    ( ~ isCountable0(szDzozmdt0(xd))
    | isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(subsumption_resolution,[],[f417982,f30413]) ).

fof(f30413,plain,
    isFinite0(sdtlcdtrc0(xd,szNzAzT0)),
    inference(unit_resulting_resolution,[],[f824,f825,f1248,f1085]) ).

fof(f1085,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | isFinite0(X1)
      | ~ isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,plain,
    ! [X0] :
      ( ! [X1] :
          ( isFinite0(X1)
          | ~ aSubsetOf0(X1,X0) )
      | ~ isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f192]) ).

fof(f192,plain,
    ! [X0] :
      ( ! [X1] :
          ( isFinite0(X1)
          | ~ aSubsetOf0(X1,X0) )
      | ~ isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ( isFinite0(X0)
        & aSet0(X0) )
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
         => isFinite0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).

fof(f1248,plain,
    aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT),
    inference(forward_demodulation,[],[f838,f787]) ).

fof(f838,plain,
    aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
    inference(cnf_transformation,[],[f448]) ).

fof(f448,plain,
    ( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
    & ! [X0] :
        ( aElementOf0(X0,xT)
        | ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
    & ! [X1] :
        ( ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
          | ! [X2] :
              ( sdtlpdtrp0(xd,X2) != X1
              | ~ aElementOf0(X2,szDzozmdt0(xd)) ) )
        & ( ( sdtlpdtrp0(xd,sK114(X1)) = X1
            & aElementOf0(sK114(X1),szDzozmdt0(xd)) )
          | ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
    & aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK114])],[f446,f447]) ).

fof(f447,plain,
    ! [X1] :
      ( ? [X3] :
          ( sdtlpdtrp0(xd,X3) = X1
          & aElementOf0(X3,szDzozmdt0(xd)) )
     => ( sdtlpdtrp0(xd,sK114(X1)) = X1
        & aElementOf0(sK114(X1),szDzozmdt0(xd)) ) ),
    introduced(choice_axiom,[]) ).

fof(f446,plain,
    ( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
    & ! [X0] :
        ( aElementOf0(X0,xT)
        | ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
    & ! [X1] :
        ( ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
          | ! [X2] :
              ( sdtlpdtrp0(xd,X2) != X1
              | ~ aElementOf0(X2,szDzozmdt0(xd)) ) )
        & ( ? [X3] :
              ( sdtlpdtrp0(xd,X3) = X1
              & aElementOf0(X3,szDzozmdt0(xd)) )
          | ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
    & aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
    inference(rectify,[],[f445]) ).

fof(f445,plain,
    ( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
    & ! [X0] :
        ( aElementOf0(X0,xT)
        | ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
    & ! [X1] :
        ( ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
          | ! [X2] :
              ( sdtlpdtrp0(xd,X2) != X1
              | ~ aElementOf0(X2,szDzozmdt0(xd)) ) )
        & ( ? [X2] :
              ( sdtlpdtrp0(xd,X2) = X1
              & aElementOf0(X2,szDzozmdt0(xd)) )
          | ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
    & aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
    inference(nnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
    & ! [X0] :
        ( aElementOf0(X0,xT)
        | ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
    & ! [X1] :
        ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
      <=> ? [X2] :
            ( sdtlpdtrp0(xd,X2) = X1
            & aElementOf0(X2,szDzozmdt0(xd)) ) )
    & aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,plain,
    ( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
    & ! [X0] :
        ( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
       => aElementOf0(X0,xT) )
    & ! [X1] :
        ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
      <=> ? [X2] :
            ( sdtlpdtrp0(xd,X2) = X1
            & aElementOf0(X2,szDzozmdt0(xd)) ) )
    & aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
    inference(rectify,[],[f93]) ).

fof(f93,axiom,
    ( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
    & ! [X0] :
        ( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
       => aElementOf0(X0,xT) )
    & ! [X0] :
        ( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
      <=> ? [X1] :
            ( sdtlpdtrp0(xd,X1) = X0
            & aElementOf0(X1,szDzozmdt0(xd)) ) )
    & aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4758) ).

fof(f825,plain,
    isFinite0(xT),
    inference(cnf_transformation,[],[f73]) ).

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

fof(f824,plain,
    aSet0(xT),
    inference(cnf_transformation,[],[f73]) ).

fof(f417982,plain,
    ( ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0))
    | ~ isCountable0(szDzozmdt0(xd))
    | isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(forward_demodulation,[],[f417926,f787]) ).

fof(f417926,plain,
    ( ~ isFinite0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
    | ~ isCountable0(szDzozmdt0(xd))
    | isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(resolution,[],[f1010,f786]) ).

fof(f786,plain,
    aFunction0(xd),
    inference(cnf_transformation,[],[f266]) ).

fof(f1010,plain,
    ! [X0] :
      ( ~ aFunction0(X0)
      | ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
      | ~ isCountable0(szDzozmdt0(X0))
      | isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0))) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
        & aElement0(szDzizrdt0(X0)) )
      | ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
      | ~ isCountable0(szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(flattening,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
        & aElement0(szDzizrdt0(X0)) )
      | ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
      | ~ isCountable0(szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,axiom,
    ! [X0] :
      ( aFunction0(X0)
     => ( ( isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
          & isCountable0(szDzozmdt0(X0)) )
       => ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
          & aElement0(szDzizrdt0(X0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDirichlet) ).

fof(f929355,plain,
    ( sP77(xe)
    | ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
    inference(resolution,[],[f355434,f154290]) ).

fof(f154290,plain,
    aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0),
    inference(forward_demodulation,[],[f151205,f787]) ).

fof(f151205,plain,
    aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xd)),
    inference(unit_resulting_resolution,[],[f786,f1663,f1109]) ).

fof(f1109,plain,
    ! [X0,X1] :
      ( ~ aFunction0(X0)
      | ~ aElement0(X1)
      | aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
      | ~ aElement0(X1)
      | ~ aFunction0(X0) ),
    inference(flattening,[],[f209]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
      | ~ aElement0(X1)
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aFunction0(X0) )
     => aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPttSet) ).

fof(f1663,plain,
    aElement0(szDzizrdt0(xd)),
    inference(unit_resulting_resolution,[],[f824,f828,f1045]) ).

fof(f1045,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | aElement0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

fof(f828,plain,
    aElementOf0(szDzizrdt0(xd),xT),
    inference(cnf_transformation,[],[f444]) ).

fof(f444,plain,
    ( ! [X0] :
        ( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          | sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
          | ~ aElementOf0(X0,szDzozmdt0(xd)) )
        & ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
            & aElementOf0(X0,szDzozmdt0(xd)) )
          | ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
    & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aElementOf0(szDzizrdt0(xd),xT) ),
    inference(flattening,[],[f443]) ).

fof(f443,plain,
    ( ! [X0] :
        ( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          | sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
          | ~ aElementOf0(X0,szDzozmdt0(xd)) )
        & ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
            & aElementOf0(X0,szDzozmdt0(xd)) )
          | ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
    & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aElementOf0(szDzizrdt0(xd),xT) ),
    inference(nnf_transformation,[],[f94]) ).

fof(f94,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      <=> ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
          & aElementOf0(X0,szDzozmdt0(xd)) ) )
    & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aElementOf0(szDzizrdt0(xd),xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4854) ).

fof(f355434,plain,
    ! [X0] :
      ( ~ aSubsetOf0(X0,szNzAzT0)
      | sP77(xe)
      | ~ isCountable0(X0)
      | isCountable0(sdtlcdtrc0(xe,X0)) ),
    inference(subsumption_resolution,[],[f355413,f709]) ).

fof(f709,plain,
    aFunction0(xe),
    inference(cnf_transformation,[],[f244]) ).

fof(f355413,plain,
    ! [X0] :
      ( ~ aSubsetOf0(X0,szNzAzT0)
      | sP77(xe)
      | ~ isCountable0(X0)
      | isCountable0(sdtlcdtrc0(xe,X0))
      | ~ aFunction0(xe) ),
    inference(superposition,[],[f1038,f710]) ).

fof(f1038,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | sP77(X0)
      | ~ isCountable0(X1)
      | isCountable0(sdtlcdtrc0(X0,X1))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f336]) ).

fof(f336,plain,
    ! [X0] :
      ( ! [X1] :
          ( isCountable0(sdtlcdtrc0(X0,X1))
          | sP77(X0)
          | ~ isCountable0(X1)
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(definition_folding,[],[f160,f335]) ).

fof(f160,plain,
    ! [X0] :
      ( ! [X1] :
          ( isCountable0(sdtlcdtrc0(X0,X1))
          | ? [X2,X3] :
              ( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
              & X2 != X3
              & aElementOf0(X3,szDzozmdt0(X0))
              & aElementOf0(X2,szDzozmdt0(X0)) )
          | ~ isCountable0(X1)
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(flattening,[],[f159]) ).

fof(f159,plain,
    ! [X0] :
      ( ! [X1] :
          ( isCountable0(sdtlcdtrc0(X0,X1))
          | ? [X2,X3] :
              ( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
              & X2 != X3
              & aElementOf0(X3,szDzozmdt0(X0))
              & aElementOf0(X2,szDzozmdt0(X0)) )
          | ~ isCountable0(X1)
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( aFunction0(X0)
     => ! [X1] :
          ( ( isCountable0(X1)
            & aSubsetOf0(X1,szDzozmdt0(X0)) )
         => ( ! [X2,X3] :
                ( ( X2 != X3
                  & aElementOf0(X3,szDzozmdt0(X0))
                  & aElementOf0(X2,szDzozmdt0(X0)) )
               => sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X0,X2) )
           => isCountable0(sdtlcdtrc0(X0,X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgCount) ).

fof(f956433,plain,
    sdtlpdtrp0(xe,sK136(xe)) != szmzizndt0(sdtlpdtrp0(xN,sK136(xe))),
    inference(forward_demodulation,[],[f956424,f932548]) ).

fof(f932548,plain,
    sdtlpdtrp0(xe,sK136(xe)) = szmzizndt0(sdtlpdtrp0(xN,sK137(xe))),
    inference(forward_demodulation,[],[f932543,f929443]) ).

fof(f929443,plain,
    sdtlpdtrp0(xe,sK136(xe)) = sdtlpdtrp0(xe,sK137(xe)),
    inference(unit_resulting_resolution,[],[f929442,f1037]) ).

fof(f1037,plain,
    ! [X0] :
      ( ~ sP77(X0)
      | sdtlpdtrp0(X0,sK136(X0)) = sdtlpdtrp0(X0,sK137(X0)) ),
    inference(cnf_transformation,[],[f605]) ).

fof(f932543,plain,
    sdtlpdtrp0(xe,sK137(xe)) = szmzizndt0(sdtlpdtrp0(xN,sK137(xe))),
    inference(unit_resulting_resolution,[],[f931600,f708]) ).

fof(f931600,plain,
    sP0(sK137(xe)),
    inference(unit_resulting_resolution,[],[f929452,f711]) ).

fof(f929452,plain,
    aElementOf0(sK137(xe),szNzAzT0),
    inference(forward_demodulation,[],[f929445,f710]) ).

fof(f929445,plain,
    aElementOf0(sK137(xe),szDzozmdt0(xe)),
    inference(unit_resulting_resolution,[],[f929442,f1035]) ).

fof(f1035,plain,
    ! [X0] :
      ( ~ sP77(X0)
      | aElementOf0(sK137(X0),szDzozmdt0(X0)) ),
    inference(cnf_transformation,[],[f605]) ).

fof(f956424,plain,
    szmzizndt0(sdtlpdtrp0(xN,sK136(xe))) != szmzizndt0(sdtlpdtrp0(xN,sK137(xe))),
    inference(unit_resulting_resolution,[],[f938575,f993]) ).

fof(f993,plain,
    ! [X0,X1] :
      ( ~ sP70(X0,X1)
      | szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) ),
    inference(cnf_transformation,[],[f577]) ).

fof(f577,plain,
    ! [X0,X1] :
      ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
        & sP69(X1,X0)
        & ! [X2] :
            ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2)
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) )
      | ~ sP70(X0,X1) ),
    inference(rectify,[],[f576]) ).

fof(f576,plain,
    ! [X1,X0] :
      ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
        & sP69(X0,X1)
        & ! [X2] :
            ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
      | ~ sP70(X1,X0) ),
    inference(nnf_transformation,[],[f325]) ).

fof(f325,plain,
    ! [X1,X0] :
      ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
        & sP69(X0,X1)
        & ! [X2] :
            ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
      | ~ sP70(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).

fof(f938575,plain,
    sP70(sK137(xe),sK136(xe)),
    inference(unit_resulting_resolution,[],[f929451,f929452,f929444,f996]) ).

fof(f996,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | X0 = X1
      | sP70(X1,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f326]) ).

fof(f326,plain,
    ! [X0,X1] :
      ( sP70(X1,X0)
      | X0 = X1
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(definition_folding,[],[f141,f325,f324]) ).

fof(f324,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
          & aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
      | ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
      | ~ sP69(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
        & ( ? [X3] :
              ( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
              & aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
          | ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) )
        & ! [X2] :
            ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
      | X0 = X1
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f140]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
        & ( ? [X3] :
              ( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
              & aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
          | ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) )
        & ! [X2] :
            ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
      | X0 = X1
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( X0 != X1
        & aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ~ ( ( ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,X0))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
         => ( szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
            | ( ! [X3] :
                  ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                 => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
              & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ) ) ) ),
    inference(rectify,[],[f84]) ).

fof(f84,axiom,
    ! [X0,X1] :
      ( ( X0 != X1
        & aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ~ ( ( ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,X0))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
         => ( szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
            | ( ! [X2] :
                  ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
                 => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
              & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3821) ).

fof(f929444,plain,
    sK136(xe) != sK137(xe),
    inference(unit_resulting_resolution,[],[f929442,f1036]) ).

fof(f1036,plain,
    ! [X0] :
      ( ~ sP77(X0)
      | sK136(X0) != sK137(X0) ),
    inference(cnf_transformation,[],[f605]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM598+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 00:17:24 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (3363)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (3366)WARNING: value z3 for option sas not known
% 0.15/0.39  % (3367)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39  % (3364)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39  % (3365)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39  % (3369)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.39  % (3368)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39  % (3370)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39  % (3366)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.45  TRYING [1]
% 0.21/0.46  TRYING [2]
% 0.21/0.54  TRYING [3]
% 1.95/0.68  TRYING [4]
% 4.67/1.03  TRYING [5]
% 10.96/1.95  TRYING [6]
% 12.43/2.14  TRYING [1]
% 13.05/2.28  TRYING [2]
% 17.96/2.96  TRYING [1]
% 19.28/3.12  TRYING [2]
% 21.40/3.44  TRYING [3]
% 27.24/4.24  TRYING [7]
% 27.86/4.36  TRYING [3]
% 59.36/8.87  TRYING [8]
% 76.74/11.30  % (3370)First to succeed.
% 76.74/11.34  % (3370)Refutation found. Thanks to Tanya!
% 76.74/11.34  % SZS status Theorem for theBenchmark
% 76.74/11.34  % SZS output start Proof for theBenchmark
% See solution above
% 76.74/11.34  % (3370)------------------------------
% 76.74/11.34  % (3370)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 76.74/11.34  % (3370)Termination reason: Refutation
% 76.74/11.34  
% 76.74/11.34  % (3370)Memory used [KB]: 358478
% 76.74/11.34  % (3370)Time elapsed: 10.919 s
% 76.74/11.34  % (3370)Instructions burned: 35716 (million)
% 76.74/11.34  % (3370)------------------------------
% 76.74/11.34  % (3370)------------------------------
% 76.74/11.34  % (3363)Success in time 10.797 s
%------------------------------------------------------------------------------