TSTP Solution File: NUM566+3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM566+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 : Fri May  3 02:49:58 EDT 2024

% Result   : Theorem 17.65s 3.14s
% Output   : CNFRefutation 17.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  134 (  32 unt;   0 def)
%            Number of atoms       :  596 ( 130 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  710 ( 248   ~; 193   |; 226   &)
%                                         (   8 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   7 con; 0-2 aty)
%            Number of variables   :  205 (   1 sgn 133   !;  41   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( slcrc0 = X0
    <=> ( ~ ? [X1] : aElementOf0(X1,X0)
        & aSet0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).

fof(f12,axiom,
    ! [X0] :
      ( aSet0(X0)
     => aSubsetOf0(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).

fof(f42,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).

fof(f52,axiom,
    slcrc0 = slbdtrb0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).

fof(f56,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => sbrdtbr0(slbdtrb0(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).

fof(f74,axiom,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).

fof(f75,axiom,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0)
    & ! [X0] :
        ( aElementOf0(X0,xS)
       => aElementOf0(X0,szNzAzT0) )
    & aSet0(xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).

fof(f76,axiom,
    ( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
    & ! [X0] :
        ( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
       => aElementOf0(X0,xT) )
    & ! [X0] :
        ( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
      <=> ? [X1] :
            ( sdtlpdtrp0(xc,X1) = X0
            & aElementOf0(X1,szDzozmdt0(xc)) ) )
    & aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
    & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & ! [X0] :
        ( ( ( sbrdtbr0(X0) = xK
            & ( aSubsetOf0(X0,xS)
              | ( ! [X1] :
                    ( aElementOf0(X1,X0)
                   => aElementOf0(X1,xS) )
                & aSet0(X0) ) ) )
         => aElementOf0(X0,szDzozmdt0(xc)) )
        & ( aElementOf0(X0,szDzozmdt0(xc))
         => ( sbrdtbr0(X0) = xK
            & aSubsetOf0(X0,xS)
            & ! [X1] :
                ( aElementOf0(X1,X0)
               => aElementOf0(X1,xS) )
            & aSet0(X0) ) ) )
    & aFunction0(xc) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).

fof(f78,axiom,
    sz00 = xK,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).

fof(f79,axiom,
    ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
    & aSubsetOf0(slcrc0,xS)
    & ! [X0] :
        ( aElementOf0(X0,slcrc0)
       => aElementOf0(X0,xS) )
    & ~ ? [X0] : aElementOf0(X0,slcrc0)
    & aSet0(slcrc0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3476) ).

fof(f80,axiom,
    ! [X0] :
      ( ( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
        | ( sz00 = sbrdtbr0(X0)
          & ( aSubsetOf0(X0,xS)
            | ( ! [X1] :
                  ( aElementOf0(X1,X0)
                 => aElementOf0(X1,xS) )
              & aSet0(X0) ) ) ) )
     => ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
        & ~ ? [X1] : aElementOf0(X1,slcrc0)
        & aSet0(slcrc0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3507) ).

fof(f81,conjecture,
    ? [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
                & sbrdtbr0(X2) = xK
                & aSubsetOf0(X2,X1)
                & ! [X3] :
                    ( aElementOf0(X3,X2)
                   => aElementOf0(X3,X1) )
                & aSet0(X2) )
             => sdtlpdtrp0(xc,X2) = X0 )
          & isCountable0(X1)
          & ( aSubsetOf0(X1,xS)
            | ( ! [X2] :
                  ( aElementOf0(X2,X1)
                 => aElementOf0(X2,xS) )
              & aSet0(X1) ) ) )
      & aElementOf0(X0,xT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f82,negated_conjecture,
    ~ ? [X0] :
        ( ? [X1] :
            ( ! [X2] :
                ( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
                  & sbrdtbr0(X2) = xK
                  & aSubsetOf0(X2,X1)
                  & ! [X3] :
                      ( aElementOf0(X3,X2)
                     => aElementOf0(X3,X1) )
                  & aSet0(X2) )
               => sdtlpdtrp0(xc,X2) = X0 )
            & isCountable0(X1)
            & ( aSubsetOf0(X1,xS)
              | ( ! [X2] :
                    ( aElementOf0(X2,X1)
                   => aElementOf0(X2,xS) )
                & aSet0(X1) ) ) )
        & aElementOf0(X0,xT) ),
    inference(negated_conjecture,[],[f81]) ).

fof(f90,plain,
    ( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
    & ! [X0] :
        ( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
       => aElementOf0(X0,xT) )
    & ! [X1] :
        ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
      <=> ? [X2] :
            ( sdtlpdtrp0(xc,X2) = X1
            & aElementOf0(X2,szDzozmdt0(xc)) ) )
    & aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
    & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & ! [X3] :
        ( ( ( sbrdtbr0(X3) = xK
            & ( aSubsetOf0(X3,xS)
              | ( ! [X4] :
                    ( aElementOf0(X4,X3)
                   => aElementOf0(X4,xS) )
                & aSet0(X3) ) ) )
         => aElementOf0(X3,szDzozmdt0(xc)) )
        & ( aElementOf0(X3,szDzozmdt0(xc))
         => ( sbrdtbr0(X3) = xK
            & aSubsetOf0(X3,xS)
            & ! [X5] :
                ( aElementOf0(X5,X3)
               => aElementOf0(X5,xS) )
            & aSet0(X3) ) ) )
    & aFunction0(xc) ),
    inference(rectify,[],[f76]) ).

fof(f92,plain,
    ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
    & aSubsetOf0(slcrc0,xS)
    & ! [X0] :
        ( aElementOf0(X0,slcrc0)
       => aElementOf0(X0,xS) )
    & ~ ? [X1] : aElementOf0(X1,slcrc0)
    & aSet0(slcrc0) ),
    inference(rectify,[],[f79]) ).

fof(f93,plain,
    ! [X0] :
      ( ( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
        | ( sz00 = sbrdtbr0(X0)
          & ( aSubsetOf0(X0,xS)
            | ( ! [X1] :
                  ( aElementOf0(X1,X0)
                 => aElementOf0(X1,xS) )
              & aSet0(X0) ) ) ) )
     => ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
        & ~ ? [X2] : aElementOf0(X2,slcrc0)
        & aSet0(slcrc0) ) ),
    inference(rectify,[],[f80]) ).

fof(f94,plain,
    ~ ? [X0] :
        ( ? [X1] :
            ( ! [X2] :
                ( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
                  & sbrdtbr0(X2) = xK
                  & aSubsetOf0(X2,X1)
                  & ! [X3] :
                      ( aElementOf0(X3,X2)
                     => aElementOf0(X3,X1) )
                  & aSet0(X2) )
               => sdtlpdtrp0(xc,X2) = X0 )
            & isCountable0(X1)
            & ( aSubsetOf0(X1,xS)
              | ( ! [X4] :
                    ( aElementOf0(X4,X1)
                   => aElementOf0(X4,xS) )
                & aSet0(X1) ) ) )
        & aElementOf0(X0,xT) ),
    inference(rectify,[],[f82]) ).

fof(f96,plain,
    ! [X0] :
      ( slcrc0 = X0
    <=> ( ! [X1] : ~ aElementOf0(X1,X0)
        & aSet0(X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f104,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f145,plain,
    ! [X0] :
      ( ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f168,plain,
    ! [X0] :
      ( sbrdtbr0(slbdtrb0(X0)) = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f194,plain,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0)
    & ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(X0,xS) )
    & aSet0(xS) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f195,plain,
    ( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
    & ! [X0] :
        ( aElementOf0(X0,xT)
        | ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
    & ! [X1] :
        ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
      <=> ? [X2] :
            ( sdtlpdtrp0(xc,X2) = X1
            & aElementOf0(X2,szDzozmdt0(xc)) ) )
    & aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
    & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & ! [X3] :
        ( ( aElementOf0(X3,szDzozmdt0(xc))
          | sbrdtbr0(X3) != xK
          | ( ~ aSubsetOf0(X3,xS)
            & ( ? [X4] :
                  ( ~ aElementOf0(X4,xS)
                  & aElementOf0(X4,X3) )
              | ~ aSet0(X3) ) ) )
        & ( ( sbrdtbr0(X3) = xK
            & aSubsetOf0(X3,xS)
            & ! [X5] :
                ( aElementOf0(X5,xS)
                | ~ aElementOf0(X5,X3) )
            & aSet0(X3) )
          | ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
    & aFunction0(xc) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f196,plain,
    ( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
    & ! [X0] :
        ( aElementOf0(X0,xT)
        | ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
    & ! [X1] :
        ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
      <=> ? [X2] :
            ( sdtlpdtrp0(xc,X2) = X1
            & aElementOf0(X2,szDzozmdt0(xc)) ) )
    & aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
    & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & ! [X3] :
        ( ( aElementOf0(X3,szDzozmdt0(xc))
          | sbrdtbr0(X3) != xK
          | ( ~ aSubsetOf0(X3,xS)
            & ( ? [X4] :
                  ( ~ aElementOf0(X4,xS)
                  & aElementOf0(X4,X3) )
              | ~ aSet0(X3) ) ) )
        & ( ( sbrdtbr0(X3) = xK
            & aSubsetOf0(X3,xS)
            & ! [X5] :
                ( aElementOf0(X5,xS)
                | ~ aElementOf0(X5,X3) )
            & aSet0(X3) )
          | ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
    & aFunction0(xc) ),
    inference(flattening,[],[f195]) ).

fof(f199,plain,
    ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
    & aSubsetOf0(slcrc0,xS)
    & ! [X0] :
        ( aElementOf0(X0,xS)
        | ~ aElementOf0(X0,slcrc0) )
    & ! [X1] : ~ aElementOf0(X1,slcrc0)
    & aSet0(slcrc0) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f200,plain,
    ! [X0] :
      ( ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
        & ! [X2] : ~ aElementOf0(X2,slcrc0)
        & aSet0(slcrc0) )
      | ( ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00))
        & ( sz00 != sbrdtbr0(X0)
          | ( ~ aSubsetOf0(X0,xS)
            & ( ? [X1] :
                  ( ~ aElementOf0(X1,xS)
                  & aElementOf0(X1,X0) )
              | ~ aSet0(X0) ) ) ) ) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f201,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( sdtlpdtrp0(xc,X2) != X0
              & aElementOf0(X2,slbdtsldtrb0(X1,xK))
              & sbrdtbr0(X2) = xK
              & aSubsetOf0(X2,X1)
              & ! [X3] :
                  ( aElementOf0(X3,X1)
                  | ~ aElementOf0(X3,X2) )
              & aSet0(X2) )
          | ~ isCountable0(X1)
          | ( ~ aSubsetOf0(X1,xS)
            & ( ? [X4] :
                  ( ~ aElementOf0(X4,xS)
                  & aElementOf0(X4,X1) )
              | ~ aSet0(X1) ) ) )
      | ~ aElementOf0(X0,xT) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f202,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( sdtlpdtrp0(xc,X2) != X0
              & aElementOf0(X2,slbdtsldtrb0(X1,xK))
              & sbrdtbr0(X2) = xK
              & aSubsetOf0(X2,X1)
              & ! [X3] :
                  ( aElementOf0(X3,X1)
                  | ~ aElementOf0(X3,X2) )
              & aSet0(X2) )
          | ~ isCountable0(X1)
          | ( ~ aSubsetOf0(X1,xS)
            & ( ? [X4] :
                  ( ~ aElementOf0(X4,xS)
                  & aElementOf0(X4,X1) )
              | ~ aSet0(X1) ) ) )
      | ~ aElementOf0(X0,xT) ),
    inference(flattening,[],[f201]) ).

fof(f214,plain,
    ! [X0] :
      ( ( ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00))
        & ( sz00 != sbrdtbr0(X0)
          | ( ~ aSubsetOf0(X0,xS)
            & ( ? [X1] :
                  ( ~ aElementOf0(X1,xS)
                  & aElementOf0(X1,X0) )
              | ~ aSet0(X0) ) ) ) )
      | ~ sP8(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f215,plain,
    ! [X0] :
      ( ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
        & ! [X2] : ~ aElementOf0(X2,slcrc0)
        & aSet0(slcrc0) )
      | sP8(X0) ),
    inference(definition_folding,[],[f200,f214]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtlpdtrp0(xc,X2) != X0
          & aElementOf0(X2,slbdtsldtrb0(X1,xK))
          & sbrdtbr0(X2) = xK
          & aSubsetOf0(X2,X1)
          & ! [X3] :
              ( aElementOf0(X3,X1)
              | ~ aElementOf0(X3,X2) )
          & aSet0(X2) )
      | ~ sP9(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f217,plain,
    ! [X0] :
      ( ! [X1] :
          ( sP9(X0,X1)
          | ~ isCountable0(X1)
          | ( ~ aSubsetOf0(X1,xS)
            & ( ? [X4] :
                  ( ~ aElementOf0(X4,xS)
                  & aElementOf0(X4,X1) )
              | ~ aSet0(X1) ) ) )
      | ~ aElementOf0(X0,xT) ),
    inference(definition_folding,[],[f202,f216]) ).

fof(f218,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(nnf_transformation,[],[f96]) ).

fof(f219,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(flattening,[],[f218]) ).

fof(f220,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(rectify,[],[f219]) ).

fof(f221,plain,
    ! [X0] :
      ( ? [X1] : aElementOf0(X1,X0)
     => aElementOf0(sK10(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f222,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | aElementOf0(sK10(X0),X0)
        | ~ aSet0(X0) )
      & ( ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f220,f221]) ).

fof(f244,plain,
    ! [X0] :
      ( ( ( sz00 = sbrdtbr0(X0)
          | slcrc0 != X0 )
        & ( slcrc0 = X0
          | sz00 != sbrdtbr0(X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f145]) ).

fof(f293,plain,
    ( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
    & ! [X0] :
        ( aElementOf0(X0,xT)
        | ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
    & ! [X1] :
        ( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
          | ! [X2] :
              ( sdtlpdtrp0(xc,X2) != X1
              | ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
        & ( ? [X2] :
              ( sdtlpdtrp0(xc,X2) = X1
              & aElementOf0(X2,szDzozmdt0(xc)) )
          | ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
    & aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
    & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & ! [X3] :
        ( ( aElementOf0(X3,szDzozmdt0(xc))
          | sbrdtbr0(X3) != xK
          | ( ~ aSubsetOf0(X3,xS)
            & ( ? [X4] :
                  ( ~ aElementOf0(X4,xS)
                  & aElementOf0(X4,X3) )
              | ~ aSet0(X3) ) ) )
        & ( ( sbrdtbr0(X3) = xK
            & aSubsetOf0(X3,xS)
            & ! [X5] :
                ( aElementOf0(X5,xS)
                | ~ aElementOf0(X5,X3) )
            & aSet0(X3) )
          | ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
    & aFunction0(xc) ),
    inference(nnf_transformation,[],[f196]) ).

fof(f294,plain,
    ( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
    & ! [X0] :
        ( aElementOf0(X0,xT)
        | ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
    & ! [X1] :
        ( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
          | ! [X2] :
              ( sdtlpdtrp0(xc,X2) != X1
              | ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
        & ( ? [X3] :
              ( sdtlpdtrp0(xc,X3) = X1
              & aElementOf0(X3,szDzozmdt0(xc)) )
          | ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
    & aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
    & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & ! [X4] :
        ( ( aElementOf0(X4,szDzozmdt0(xc))
          | xK != sbrdtbr0(X4)
          | ( ~ aSubsetOf0(X4,xS)
            & ( ? [X5] :
                  ( ~ aElementOf0(X5,xS)
                  & aElementOf0(X5,X4) )
              | ~ aSet0(X4) ) ) )
        & ( ( xK = sbrdtbr0(X4)
            & aSubsetOf0(X4,xS)
            & ! [X6] :
                ( aElementOf0(X6,xS)
                | ~ aElementOf0(X6,X4) )
            & aSet0(X4) )
          | ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
    & aFunction0(xc) ),
    inference(rectify,[],[f293]) ).

fof(f295,plain,
    ! [X1] :
      ( ? [X3] :
          ( sdtlpdtrp0(xc,X3) = X1
          & aElementOf0(X3,szDzozmdt0(xc)) )
     => ( sdtlpdtrp0(xc,sK29(X1)) = X1
        & aElementOf0(sK29(X1),szDzozmdt0(xc)) ) ),
    introduced(choice_axiom,[]) ).

fof(f296,plain,
    ! [X4] :
      ( ? [X5] :
          ( ~ aElementOf0(X5,xS)
          & aElementOf0(X5,X4) )
     => ( ~ aElementOf0(sK30(X4),xS)
        & aElementOf0(sK30(X4),X4) ) ),
    introduced(choice_axiom,[]) ).

fof(f297,plain,
    ( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
    & ! [X0] :
        ( aElementOf0(X0,xT)
        | ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
    & ! [X1] :
        ( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
          | ! [X2] :
              ( sdtlpdtrp0(xc,X2) != X1
              | ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
        & ( ( sdtlpdtrp0(xc,sK29(X1)) = X1
            & aElementOf0(sK29(X1),szDzozmdt0(xc)) )
          | ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
    & aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
    & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & ! [X4] :
        ( ( aElementOf0(X4,szDzozmdt0(xc))
          | xK != sbrdtbr0(X4)
          | ( ~ aSubsetOf0(X4,xS)
            & ( ( ~ aElementOf0(sK30(X4),xS)
                & aElementOf0(sK30(X4),X4) )
              | ~ aSet0(X4) ) ) )
        & ( ( xK = sbrdtbr0(X4)
            & aSubsetOf0(X4,xS)
            & ! [X6] :
                ( aElementOf0(X6,xS)
                | ~ aElementOf0(X6,X4) )
            & aSet0(X4) )
          | ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
    & aFunction0(xc) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30])],[f294,f296,f295]) ).

fof(f319,plain,
    ! [X0] :
      ( ( ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00))
        & ( sz00 != sbrdtbr0(X0)
          | ( ~ aSubsetOf0(X0,xS)
            & ( ? [X1] :
                  ( ~ aElementOf0(X1,xS)
                  & aElementOf0(X1,X0) )
              | ~ aSet0(X0) ) ) ) )
      | ~ sP8(X0) ),
    inference(nnf_transformation,[],[f214]) ).

fof(f320,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ aElementOf0(X1,xS)
          & aElementOf0(X1,X0) )
     => ( ~ aElementOf0(sK39(X0),xS)
        & aElementOf0(sK39(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f321,plain,
    ! [X0] :
      ( ( ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00))
        & ( sz00 != sbrdtbr0(X0)
          | ( ~ aSubsetOf0(X0,xS)
            & ( ( ~ aElementOf0(sK39(X0),xS)
                & aElementOf0(sK39(X0),X0) )
              | ~ aSet0(X0) ) ) ) )
      | ~ sP8(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f319,f320]) ).

fof(f322,plain,
    ! [X0] :
      ( ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
        & ! [X1] : ~ aElementOf0(X1,slcrc0)
        & aSet0(slcrc0) )
      | sP8(X0) ),
    inference(rectify,[],[f215]) ).

fof(f323,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtlpdtrp0(xc,X2) != X0
          & aElementOf0(X2,slbdtsldtrb0(X1,xK))
          & sbrdtbr0(X2) = xK
          & aSubsetOf0(X2,X1)
          & ! [X3] :
              ( aElementOf0(X3,X1)
              | ~ aElementOf0(X3,X2) )
          & aSet0(X2) )
      | ~ sP9(X0,X1) ),
    inference(nnf_transformation,[],[f216]) ).

fof(f324,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtlpdtrp0(xc,X2) != X0
          & aElementOf0(X2,slbdtsldtrb0(X1,xK))
          & sbrdtbr0(X2) = xK
          & aSubsetOf0(X2,X1)
          & ! [X3] :
              ( aElementOf0(X3,X1)
              | ~ aElementOf0(X3,X2) )
          & aSet0(X2) )
     => ( sdtlpdtrp0(xc,sK40(X0,X1)) != X0
        & aElementOf0(sK40(X0,X1),slbdtsldtrb0(X1,xK))
        & xK = sbrdtbr0(sK40(X0,X1))
        & aSubsetOf0(sK40(X0,X1),X1)
        & ! [X3] :
            ( aElementOf0(X3,X1)
            | ~ aElementOf0(X3,sK40(X0,X1)) )
        & aSet0(sK40(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f325,plain,
    ! [X0,X1] :
      ( ( sdtlpdtrp0(xc,sK40(X0,X1)) != X0
        & aElementOf0(sK40(X0,X1),slbdtsldtrb0(X1,xK))
        & xK = sbrdtbr0(sK40(X0,X1))
        & aSubsetOf0(sK40(X0,X1),X1)
        & ! [X3] :
            ( aElementOf0(X3,X1)
            | ~ aElementOf0(X3,sK40(X0,X1)) )
        & aSet0(sK40(X0,X1)) )
      | ~ sP9(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f323,f324]) ).

fof(f326,plain,
    ! [X0] :
      ( ! [X1] :
          ( sP9(X0,X1)
          | ~ isCountable0(X1)
          | ( ~ aSubsetOf0(X1,xS)
            & ( ? [X2] :
                  ( ~ aElementOf0(X2,xS)
                  & aElementOf0(X2,X1) )
              | ~ aSet0(X1) ) ) )
      | ~ aElementOf0(X0,xT) ),
    inference(rectify,[],[f217]) ).

fof(f327,plain,
    ! [X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,xS)
          & aElementOf0(X2,X1) )
     => ( ~ aElementOf0(sK41(X1),xS)
        & aElementOf0(sK41(X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f328,plain,
    ! [X0] :
      ( ! [X1] :
          ( sP9(X0,X1)
          | ~ isCountable0(X1)
          | ( ~ aSubsetOf0(X1,xS)
            & ( ( ~ aElementOf0(sK41(X1),xS)
                & aElementOf0(sK41(X1),X1) )
              | ~ aSet0(X1) ) ) )
      | ~ aElementOf0(X0,xT) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f326,f327]) ).

fof(f332,plain,
    ! [X0] :
      ( slcrc0 = X0
      | aElementOf0(sK10(X0),X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f341,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f396,plain,
    ! [X0] :
      ( slcrc0 = X0
      | sz00 != sbrdtbr0(X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f420,plain,
    slcrc0 = slbdtrb0(sz00),
    inference(cnf_transformation,[],[f52]) ).

fof(f428,plain,
    ! [X0] :
      ( sbrdtbr0(slbdtrb0(X0)) = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f474,plain,
    aElementOf0(xK,szNzAzT0),
    inference(cnf_transformation,[],[f74]) ).

fof(f475,plain,
    aSet0(xS),
    inference(cnf_transformation,[],[f194]) ).

fof(f478,plain,
    isCountable0(xS),
    inference(cnf_transformation,[],[f194]) ).

fof(f486,plain,
    ! [X4] :
      ( aElementOf0(X4,szDzozmdt0(xc))
      | xK != sbrdtbr0(X4)
      | ~ aSubsetOf0(X4,xS) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f491,plain,
    ! [X2,X1] :
      ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
      | sdtlpdtrp0(xc,X2) != X1
      | ~ aElementOf0(X2,szDzozmdt0(xc)) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f492,plain,
    ! [X0] :
      ( aElementOf0(X0,xT)
      | ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f525,plain,
    sz00 = xK,
    inference(cnf_transformation,[],[f78]) ).

fof(f526,plain,
    aSet0(slcrc0),
    inference(cnf_transformation,[],[f199]) ).

fof(f527,plain,
    ! [X1] : ~ aElementOf0(X1,slcrc0),
    inference(cnf_transformation,[],[f199]) ).

fof(f529,plain,
    aSubsetOf0(slcrc0,xS),
    inference(cnf_transformation,[],[f199]) ).

fof(f530,plain,
    aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
    inference(cnf_transformation,[],[f199]) ).

fof(f532,plain,
    ! [X0] :
      ( sz00 != sbrdtbr0(X0)
      | ~ aElementOf0(sK39(X0),xS)
      | ~ aSet0(X0)
      | ~ sP8(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f533,plain,
    ! [X0] :
      ( sz00 != sbrdtbr0(X0)
      | ~ aSubsetOf0(X0,xS)
      | ~ sP8(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f534,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00))
      | ~ sP8(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f537,plain,
    ! [X0] :
      ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
      | sP8(X0) ),
    inference(cnf_transformation,[],[f322]) ).

fof(f542,plain,
    ! [X0,X1] :
      ( aElementOf0(sK40(X0,X1),slbdtsldtrb0(X1,xK))
      | ~ sP9(X0,X1) ),
    inference(cnf_transformation,[],[f325]) ).

fof(f543,plain,
    ! [X0,X1] :
      ( sdtlpdtrp0(xc,sK40(X0,X1)) != X0
      | ~ sP9(X0,X1) ),
    inference(cnf_transformation,[],[f325]) ).

fof(f546,plain,
    ! [X0,X1] :
      ( sP9(X0,X1)
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT) ),
    inference(cnf_transformation,[],[f328]) ).

fof(f554,plain,
    ! [X0] :
      ( slcrc0 = X0
      | sbrdtbr0(X0) != xK
      | ~ aSet0(X0) ),
    inference(definition_unfolding,[],[f396,f525]) ).

fof(f555,plain,
    slcrc0 = slbdtrb0(xK),
    inference(definition_unfolding,[],[f420,f525]) ).

fof(f558,plain,
    aElementOf0(slcrc0,slbdtsldtrb0(xS,xK)),
    inference(definition_unfolding,[],[f530,f525]) ).

fof(f559,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xK))
      | ~ sP8(X0) ),
    inference(definition_unfolding,[],[f534,f525]) ).

fof(f560,plain,
    ! [X0] :
      ( sbrdtbr0(X0) != xK
      | ~ aSubsetOf0(X0,xS)
      | ~ sP8(X0) ),
    inference(definition_unfolding,[],[f533,f525]) ).

fof(f561,plain,
    ! [X0] :
      ( sbrdtbr0(X0) != xK
      | ~ aElementOf0(sK39(X0),xS)
      | ~ aSet0(X0)
      | ~ sP8(X0) ),
    inference(definition_unfolding,[],[f532,f525]) ).

fof(f600,plain,
    ! [X2] :
      ( aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,szDzozmdt0(xc)))
      | ~ aElementOf0(X2,szDzozmdt0(xc)) ),
    inference(equality_resolution,[],[f491]) ).

cnf(c_50,plain,
    ( ~ aSet0(X0)
    | X0 = slcrc0
    | aElementOf0(sK10(X0),X0) ),
    inference(cnf_transformation,[],[f332]) ).

cnf(c_61,plain,
    ( ~ aSet0(X0)
    | aSubsetOf0(X0,X0) ),
    inference(cnf_transformation,[],[f341]) ).

cnf(c_117,plain,
    ( sbrdtbr0(X0) != xK
    | ~ aSet0(X0)
    | X0 = slcrc0 ),
    inference(cnf_transformation,[],[f554]) ).

cnf(c_140,plain,
    slbdtrb0(xK) = slcrc0,
    inference(cnf_transformation,[],[f555]) ).

cnf(c_148,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | sbrdtbr0(slbdtrb0(X0)) = X0 ),
    inference(cnf_transformation,[],[f428]) ).

cnf(c_194,plain,
    aElementOf0(xK,szNzAzT0),
    inference(cnf_transformation,[],[f474]) ).

cnf(c_195,plain,
    isCountable0(xS),
    inference(cnf_transformation,[],[f478]) ).

cnf(c_198,plain,
    aSet0(xS),
    inference(cnf_transformation,[],[f475]) ).

cnf(c_200,plain,
    ( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
    | aElementOf0(X0,xT) ),
    inference(cnf_transformation,[],[f492]) ).

cnf(c_201,plain,
    ( ~ aElementOf0(X0,szDzozmdt0(xc))
    | aElementOf0(sdtlpdtrp0(xc,X0),sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
    inference(cnf_transformation,[],[f600]) ).

cnf(c_206,plain,
    ( sbrdtbr0(X0) != xK
    | ~ aSubsetOf0(X0,xS)
    | aElementOf0(X0,szDzozmdt0(xc)) ),
    inference(cnf_transformation,[],[f486]) ).

cnf(c_245,plain,
    aElementOf0(slcrc0,slbdtsldtrb0(xS,xK)),
    inference(cnf_transformation,[],[f558]) ).

cnf(c_246,plain,
    aSubsetOf0(slcrc0,xS),
    inference(cnf_transformation,[],[f529]) ).

cnf(c_248,negated_conjecture,
    ~ aElementOf0(X0,slcrc0),
    inference(cnf_transformation,[],[f527]) ).

cnf(c_249,plain,
    aSet0(slcrc0),
    inference(cnf_transformation,[],[f526]) ).

cnf(c_250,negated_conjecture,
    ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xK))
    | ~ sP8(X0) ),
    inference(cnf_transformation,[],[f559]) ).

cnf(c_251,negated_conjecture,
    ( sbrdtbr0(X0) != xK
    | ~ aSubsetOf0(X0,xS)
    | ~ sP8(X0) ),
    inference(cnf_transformation,[],[f560]) ).

cnf(c_252,negated_conjecture,
    ( sbrdtbr0(X0) != xK
    | ~ aElementOf0(sK39(X0),xS)
    | ~ aSet0(X0)
    | ~ sP8(X0) ),
    inference(cnf_transformation,[],[f561]) ).

cnf(c_254,plain,
    ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
    | sP8(X0) ),
    inference(cnf_transformation,[],[f537]) ).

cnf(c_257,negated_conjecture,
    ( sdtlpdtrp0(xc,sK40(X0,X1)) != X0
    | ~ sP9(X0,X1) ),
    inference(cnf_transformation,[],[f543]) ).

cnf(c_258,plain,
    ( ~ sP9(X0,X1)
    | aElementOf0(sK40(X0,X1),slbdtsldtrb0(X1,xK)) ),
    inference(cnf_transformation,[],[f542]) ).

cnf(c_263,negated_conjecture,
    ( ~ aElementOf0(X0,xT)
    | ~ aSubsetOf0(X1,xS)
    | ~ isCountable0(X1)
    | sP9(X0,X1) ),
    inference(cnf_transformation,[],[f546]) ).

cnf(c_585,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_646,plain,
    ( X0 != X1
    | ~ sP8(X1)
    | sP8(X0) ),
    theory(equality) ).

cnf(c_708,plain,
    ( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,xK))
    | ~ sP8(slcrc0) ),
    inference(instantiation,[status(thm)],[c_250]) ).

cnf(c_716,plain,
    ( ~ aSet0(xS)
    | aSubsetOf0(xS,xS) ),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_949,plain,
    ( slcrc0 != X0
    | ~ sP8(X0)
    | sP8(slcrc0) ),
    inference(instantiation,[status(thm)],[c_646]) ).

cnf(c_1009,plain,
    ( X0 != X1
    | slcrc0 != X1
    | slcrc0 = X0 ),
    inference(instantiation,[status(thm)],[c_585]) ).

cnf(c_1150,plain,
    ( ~ aSet0(slcrc0)
    | slcrc0 = slcrc0
    | aElementOf0(sK10(slcrc0),slcrc0) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_1151,plain,
    ~ aElementOf0(sK10(slcrc0),slcrc0),
    inference(instantiation,[status(thm)],[c_248]) ).

cnf(c_1218,plain,
    sbrdtbr0(slbdtrb0(xK)) = xK,
    inference(superposition,[status(thm)],[c_194,c_148]) ).

cnf(c_1233,plain,
    ( ~ aSubsetOf0(slbdtrb0(xK),xS)
    | ~ sP8(slbdtrb0(xK)) ),
    inference(superposition,[status(thm)],[c_1218,c_251]) ).

cnf(c_1234,plain,
    ( ~ aSubsetOf0(slcrc0,xS)
    | ~ sP8(slbdtrb0(xK)) ),
    inference(superposition,[status(thm)],[c_140,c_1233]) ).

cnf(c_1902,plain,
    sbrdtbr0(slbdtrb0(xK)) = xK,
    inference(superposition,[status(thm)],[c_194,c_148]) ).

cnf(c_4027,plain,
    ( ~ sP9(sdtlpdtrp0(xc,slcrc0),X0)
    | sP8(sK40(sdtlpdtrp0(xc,slcrc0),X0)) ),
    inference(resolution,[status(thm)],[c_257,c_254]) ).

cnf(c_4753,plain,
    ( ~ sP8(sK40(X0,xS))
    | ~ sP9(X0,xS) ),
    inference(resolution,[status(thm)],[c_258,c_250]) ).

cnf(c_4758,plain,
    ~ sP9(sdtlpdtrp0(xc,slcrc0),xS),
    inference(resolution,[status(thm)],[c_4753,c_4027]) ).

cnf(c_4761,plain,
    ( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
    | ~ aSubsetOf0(xS,xS)
    | ~ isCountable0(xS) ),
    inference(resolution,[status(thm)],[c_4758,c_263]) ).

cnf(c_5167,plain,
    ( X0 != slcrc0
    | slcrc0 != slcrc0
    | slcrc0 = X0 ),
    inference(instantiation,[status(thm)],[c_1009]) ).

cnf(c_5436,plain,
    ( ~ aSubsetOf0(slbdtrb0(xK),xS)
    | aElementOf0(slbdtrb0(xK),szDzozmdt0(xc)) ),
    inference(superposition,[status(thm)],[c_1902,c_206]) ).

cnf(c_5565,negated_conjecture,
    ( sbrdtbr0(X0) != xK
    | ~ aSet0(X0)
    | ~ sP8(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_252,c_249,c_245,c_117,c_708,c_949,c_1150,c_1151,c_5167]) ).

cnf(c_5704,plain,
    sbrdtbr0(slbdtrb0(xK)) = xK,
    inference(superposition,[status(thm)],[c_194,c_148]) ).

cnf(c_5729,plain,
    ( ~ aSet0(slbdtrb0(xK))
    | ~ sP8(slbdtrb0(xK)) ),
    inference(superposition,[status(thm)],[c_5704,c_5565]) ).

cnf(c_5731,plain,
    ~ sP8(slbdtrb0(xK)),
    inference(global_subsumption_just,[status(thm)],[c_5729,c_246,c_1234]) ).

cnf(c_5744,plain,
    sdtlpdtrp0(xc,slbdtrb0(xK)) = sdtlpdtrp0(xc,slcrc0),
    inference(superposition,[status(thm)],[c_254,c_5731]) ).

cnf(c_6118,plain,
    ( ~ aElementOf0(X0,szDzozmdt0(xc))
    | aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
    inference(superposition,[status(thm)],[c_201,c_200]) ).

cnf(c_6128,plain,
    ( ~ aElementOf0(slbdtrb0(xK),szDzozmdt0(xc))
    | aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) ),
    inference(superposition,[status(thm)],[c_5744,c_6118]) ).

cnf(c_6432,plain,
    ( ~ aSubsetOf0(slbdtrb0(xK),xS)
    | aElementOf0(slbdtrb0(xK),szDzozmdt0(xc)) ),
    inference(superposition,[status(thm)],[c_5704,c_206]) ).

cnf(c_6442,plain,
    ~ aSubsetOf0(slbdtrb0(xK),xS),
    inference(global_subsumption_just,[status(thm)],[c_6432,c_198,c_195,c_716,c_4761,c_5436,c_6128]) ).

cnf(c_6444,plain,
    ~ aSubsetOf0(slcrc0,xS),
    inference(superposition,[status(thm)],[c_140,c_6442]) ).

cnf(c_6445,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_6444,c_246]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : NUM566+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 19:43:01 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.65/3.14  % SZS status Started for theBenchmark.p
% 17.65/3.14  % SZS status Theorem for theBenchmark.p
% 17.65/3.14  
% 17.65/3.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.65/3.14  
% 17.65/3.14  ------  iProver source info
% 17.65/3.14  
% 17.65/3.14  git: date: 2024-05-02 19:28:25 +0000
% 17.65/3.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.65/3.14  git: non_committed_changes: false
% 17.65/3.14  
% 17.65/3.14  ------ Parsing...
% 17.65/3.14  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 17.65/3.14  
% 17.65/3.14  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e 
% 17.65/3.14  
% 17.65/3.14  ------ Preprocessing...
% 17.65/3.14  
% 17.65/3.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 17.65/3.14  ------ Proving...
% 17.65/3.14  ------ Problem Properties 
% 17.65/3.14  
% 17.65/3.14  
% 17.65/3.14  clauses                                 211
% 17.65/3.14  conjectures                             18
% 17.65/3.14  EPR                                     43
% 17.65/3.14  Horn                                    160
% 17.65/3.14  unary                                   20
% 17.65/3.14  binary                                  47
% 17.65/3.14  lits                                    740
% 17.65/3.14  lits eq                                 98
% 17.65/3.14  fd_pure                                 0
% 17.65/3.14  fd_pseudo                               0
% 17.65/3.14  fd_cond                                 10
% 17.65/3.14  fd_pseudo_cond                          29
% 17.65/3.14  AC symbols                              0
% 17.65/3.14  
% 17.65/3.14  ------ Input Options Time Limit: Unbounded
% 17.65/3.14  
% 17.65/3.14  
% 17.65/3.14  ------ 
% 17.65/3.14  Current options:
% 17.65/3.14  ------ 
% 17.65/3.14  
% 17.65/3.14  
% 17.65/3.14  
% 17.65/3.14  
% 17.65/3.14  ------ Proving...
% 17.65/3.14  
% 17.65/3.14  
% 17.65/3.14  % SZS status Theorem for theBenchmark.p
% 17.65/3.14  
% 17.65/3.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.65/3.14  
% 17.65/3.15  
%------------------------------------------------------------------------------