TSTP Solution File: NUM455+6 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : NUM455+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n011.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  : 600s
% DateTime : Mon Jul 18 12:26:49 EDT 2022

% Result   : Theorem 52.74s 52.93s
% Output   : CNFRefutation 52.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   57 (  17 unt;   0 def)
%            Number of atoms       :  213 (  82 equ)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :  252 (  96   ~;  79   |;  69   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   39 (   0 sgn  20   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2079,hypothesis,
    ( aSet0(sbsmnsldt0(xS))
    & ! [W0] :
        ( aElementOf0(W0,sbsmnsldt0(xS))
      <=> ( aInteger0(W0)
          & ? [W1] :
              ( aElementOf0(W1,xS)
              & aElementOf0(W0,W1) ) ) )
    & aSet0(stldt0(sbsmnsldt0(xS)))
    & ! [W0] :
        ( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
      <=> ( aInteger0(W0)
          & ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
    & ! [W0] :
        ( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
      <=> ( W0 = sz10
          | W0 = smndt0(sz10) ) )
    & stldt0(sbsmnsldt0(xS)) = cS2076 ) ).

fof(m__2232,hypothesis,
    ( ? [W0] :
        ( aInteger0(W0)
        & sdtasdt0(xp,W0) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) )
    & aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
    & sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
    & aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
    & ? [W0] :
        ( aInteger0(W0)
        & sdtasdt0(xp,W0) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) )
    & aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
    & sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
    & aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) ).

fof(m__2258,hypothesis,
    ( sdtpldt0(sz10,xp) != sz10
    & sdtpldt0(sz10,smndt0(xp)) != sz10 ) ).

fof(m__2286,hypothesis,
    ( sdtpldt0(sz10,xp) != smndt0(sz10)
    | sdtpldt0(sz10,smndt0(xp)) != smndt0(sz10) ) ).

fof(m__,conjecture,
    ? [W0] :
      ( ( ( aInteger0(W0)
          & ( ? [W1] :
                ( aInteger0(W1)
                & sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) )
            | aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
            | sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
        | aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
      & ~ ( ( W0 = sz10
            | W0 = smndt0(sz10) )
          & aElementOf0(W0,cS2200) ) ) ).

fof(subgoal_0,plain,
    ? [W0] :
      ( ( ( aInteger0(W0)
          & ( ? [W1] :
                ( aInteger0(W1)
                & sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) )
            | aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
            | sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
        | aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
      & ~ ( ( W0 = sz10
            | W0 = smndt0(sz10) )
          & aElementOf0(W0,cS2200) ) ),
    inference(strip,[],[m__]) ).

fof(negate_0_0,plain,
    ~ ? [W0] :
        ( ( ( aInteger0(W0)
            & ( ? [W1] :
                  ( aInteger0(W1)
                  & sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) )
              | aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
              | sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
          | aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
        & ~ ( ( W0 = sz10
              | W0 = smndt0(sz10) )
            & aElementOf0(W0,cS2200) ) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( sdtpldt0(sz10,smndt0(xp)) != smndt0(sz10)
    | sdtpldt0(sz10,xp) != smndt0(sz10) ),
    inference(canonicalize,[],[m__2286]) ).

fof(normalize_0_1,plain,
    ( aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
    & aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
    & aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
    & aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
    & sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
    & sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
    & ? [W0] :
        ( sdtasdt0(xp,W0) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
        & aInteger0(W0) )
    & ? [W0] :
        ( sdtasdt0(xp,W0) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))
        & aInteger0(W0) ) ),
    inference(canonicalize,[],[m__2232]) ).

fof(normalize_0_2,plain,
    aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [W0] :
      ( ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
        & ( ~ aInteger0(W0)
          | ( ~ aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
            & ~ sdteqdtlpzmzozddtrp0(W0,sz10,xp)
            & ! [W1] :
                ( sdtasdt0(xp,W1) != sdtpldt0(W0,smndt0(sz10))
                | ~ aInteger0(W1) ) ) ) )
      | ( aElementOf0(W0,cS2200)
        & ( W0 = smndt0(sz10)
          | W0 = sz10 ) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_4,plain,
    ( stldt0(sbsmnsldt0(xS)) = cS2076
    & aSet0(sbsmnsldt0(xS))
    & aSet0(stldt0(sbsmnsldt0(xS)))
    & ! [W0] :
        ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
      <=> ( W0 != smndt0(sz10)
          & W0 != sz10 ) )
    & ! [W0] :
        ( ~ aElementOf0(W0,sbsmnsldt0(xS))
      <=> ( ~ aInteger0(W0)
          | ! [W1] :
              ( ~ aElementOf0(W0,W1)
              | ~ aElementOf0(W1,xS) ) ) )
    & ! [W0] :
        ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
      <=> ( ~ aInteger0(W0)
          | aElementOf0(W0,sbsmnsldt0(xS)) ) ) ),
    inference(canonicalize,[],[m__2079]) ).

fof(normalize_0_5,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
    <=> ( W0 != smndt0(sz10)
        & W0 != sz10 ) ),
    inference(conjunct,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
    <=> ( W0 != smndt0(sz10)
        & W0 != sz10 ) ),
    inference(specialize,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    ! [W0] :
      ( ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
        & ( ~ aInteger0(W0)
          | ( ~ aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
            & ~ sdteqdtlpzmzozddtrp0(W0,sz10,xp)
            & ! [W1] :
                ( sdtasdt0(xp,W1) != sdtpldt0(W0,smndt0(sz10))
                | ~ aInteger0(W1) ) ) ) )
      | ( aElementOf0(W0,cS2200)
        & aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ) ),
    inference(simplify,[],[normalize_0_3,normalize_0_6]) ).

fof(normalize_0_8,plain,
    ! [W0] :
      ( ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
        & ( ~ aInteger0(W0)
          | ( ~ aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
            & ~ sdteqdtlpzmzozddtrp0(W0,sz10,xp)
            & ! [W1] :
                ( sdtasdt0(xp,W1) != sdtpldt0(W0,smndt0(sz10))
                | ~ aInteger0(W1) ) ) ) )
      | ( aElementOf0(W0,cS2200)
        & aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ) ),
    inference(specialize,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    ! [W0,W1] :
      ( ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
        | aElementOf0(W0,cS2200) )
      & ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
        | aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
      & ( ~ aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
        | ~ aInteger0(W0)
        | aElementOf0(W0,cS2200) )
      & ( ~ aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
        | ~ aInteger0(W0)
        | aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
      & ( ~ aInteger0(W0)
        | ~ sdteqdtlpzmzozddtrp0(W0,sz10,xp)
        | aElementOf0(W0,cS2200) )
      & ( ~ aInteger0(W0)
        | ~ sdteqdtlpzmzozddtrp0(W0,sz10,xp)
        | aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
      & ( sdtasdt0(xp,W1) != sdtpldt0(W0,smndt0(sz10))
        | ~ aInteger0(W0)
        | ~ aInteger0(W1)
        | aElementOf0(W0,cS2200) )
      & ( sdtasdt0(xp,W1) != sdtpldt0(W0,smndt0(sz10))
        | ~ aInteger0(W0)
        | ~ aInteger0(W1)
        | aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ) ),
    inference(clausify,[],[normalize_0_8]) ).

fof(normalize_0_10,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
      | aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ),
    inference(conjunct,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    stldt0(sbsmnsldt0(xS)) = cS2076,
    inference(conjunct,[],[normalize_0_4]) ).

fof(normalize_0_12,plain,
    ! [W0] :
      ( ( W0 != smndt0(sz10)
        | aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
      & ( W0 != sz10
        | aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
      & ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
        | W0 = smndt0(sz10)
        | W0 = sz10 ) ),
    inference(clausify,[],[normalize_0_6]) ).

fof(normalize_0_13,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
      | W0 = smndt0(sz10)
      | W0 = sz10 ),
    inference(conjunct,[],[normalize_0_12]) ).

fof(normalize_0_14,plain,
    ( sdtpldt0(sz10,smndt0(xp)) != sz10
    & sdtpldt0(sz10,xp) != sz10 ),
    inference(canonicalize,[],[m__2258]) ).

fof(normalize_0_15,plain,
    sdtpldt0(sz10,xp) != sz10,
    inference(conjunct,[],[normalize_0_14]) ).

fof(normalize_0_16,plain,
    aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_17,plain,
    sdtpldt0(sz10,smndt0(xp)) != sz10,
    inference(conjunct,[],[normalize_0_14]) ).

cnf(refute_0_0,plain,
    ( sdtpldt0(sz10,smndt0(xp)) != smndt0(sz10)
    | sdtpldt0(sz10,xp) != smndt0(sz10) ),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_2,plain,
    ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
    | aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_3,plain,
    stldt0(sbsmnsldt0(xS)) = cS2076,
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_4,plain,
    ( stldt0(sbsmnsldt0(xS)) != cS2076
    | ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
    | aElementOf0(W0,cS2076) ),
    introduced(tautology,[equality,[$cnf( aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ),[1],$fot(cS2076)]]) ).

cnf(refute_0_5,plain,
    ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
    | aElementOf0(W0,cS2076) ),
    inference(resolve,[$cnf( $equal(stldt0(sbsmnsldt0(xS)),cS2076) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
    | aElementOf0(W0,cS2076) ),
    inference(resolve,[$cnf( aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )],[refute_0_2,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
    | aElementOf0(sdtpldt0(sz10,xp),cS2076) ),
    inference(subst,[],[refute_0_6:[bind(W0,$fot(sdtpldt0(sz10,xp)))]]) ).

cnf(refute_0_8,plain,
    aElementOf0(sdtpldt0(sz10,xp),cS2076),
    inference(resolve,[$cnf( aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )],[refute_0_1,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
    | W0 = smndt0(sz10)
    | W0 = sz10 ),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_10,plain,
    ( stldt0(sbsmnsldt0(xS)) != cS2076
    | ~ aElementOf0(W0,cS2076)
    | aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ),
    introduced(tautology,[equality,[$cnf( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ),[1],$fot(cS2076)]]) ).

cnf(refute_0_11,plain,
    ( ~ aElementOf0(W0,cS2076)
    | aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ),
    inference(resolve,[$cnf( $equal(stldt0(sbsmnsldt0(xS)),cS2076) )],[refute_0_3,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ aElementOf0(W0,cS2076)
    | W0 = smndt0(sz10)
    | W0 = sz10 ),
    inference(resolve,[$cnf( aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )],[refute_0_11,refute_0_9]) ).

cnf(refute_0_13,plain,
    ( ~ aElementOf0(sdtpldt0(sz10,xp),cS2076)
    | sdtpldt0(sz10,xp) = smndt0(sz10)
    | sdtpldt0(sz10,xp) = sz10 ),
    inference(subst,[],[refute_0_12:[bind(W0,$fot(sdtpldt0(sz10,xp)))]]) ).

cnf(refute_0_14,plain,
    ( sdtpldt0(sz10,xp) = smndt0(sz10)
    | sdtpldt0(sz10,xp) = sz10 ),
    inference(resolve,[$cnf( aElementOf0(sdtpldt0(sz10,xp),cS2076) )],[refute_0_8,refute_0_13]) ).

cnf(refute_0_15,plain,
    sdtpldt0(sz10,xp) != sz10,
    inference(canonicalize,[],[normalize_0_15]) ).

cnf(refute_0_16,plain,
    sdtpldt0(sz10,xp) = smndt0(sz10),
    inference(resolve,[$cnf( $equal(sdtpldt0(sz10,xp),sz10) )],[refute_0_14,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( sdtpldt0(sz10,xp) != smndt0(sz10)
    | smndt0(sz10) != smndt0(sz10)
    | sdtpldt0(sz10,xp) = smndt0(sz10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(sdtpldt0(sz10,xp),smndt0(sz10)) ),[0],$fot(smndt0(sz10))]]) ).

cnf(refute_0_18,plain,
    ( smndt0(sz10) != smndt0(sz10)
    | sdtpldt0(sz10,xp) = smndt0(sz10) ),
    inference(resolve,[$cnf( $equal(sdtpldt0(sz10,xp),smndt0(sz10)) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( sdtpldt0(sz10,smndt0(xp)) != smndt0(sz10)
    | smndt0(sz10) != smndt0(sz10) ),
    inference(resolve,[$cnf( $equal(sdtpldt0(sz10,xp),smndt0(sz10)) )],[refute_0_18,refute_0_0]) ).

cnf(refute_0_20,plain,
    aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
    inference(canonicalize,[],[normalize_0_16]) ).

cnf(refute_0_21,plain,
    ( ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
    | aElementOf0(sdtpldt0(sz10,smndt0(xp)),cS2076) ),
    inference(subst,[],[refute_0_6:[bind(W0,$fot(sdtpldt0(sz10,smndt0(xp))))]]) ).

cnf(refute_0_22,plain,
    aElementOf0(sdtpldt0(sz10,smndt0(xp)),cS2076),
    inference(resolve,[$cnf( aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),cS2076)
    | sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10)
    | sdtpldt0(sz10,smndt0(xp)) = sz10 ),
    inference(subst,[],[refute_0_12:[bind(W0,$fot(sdtpldt0(sz10,smndt0(xp))))]]) ).

cnf(refute_0_24,plain,
    ( sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10)
    | sdtpldt0(sz10,smndt0(xp)) = sz10 ),
    inference(resolve,[$cnf( aElementOf0(sdtpldt0(sz10,smndt0(xp)),cS2076) )],[refute_0_22,refute_0_23]) ).

cnf(refute_0_25,plain,
    sdtpldt0(sz10,smndt0(xp)) != sz10,
    inference(canonicalize,[],[normalize_0_17]) ).

cnf(refute_0_26,plain,
    sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10),
    inference(resolve,[$cnf( $equal(sdtpldt0(sz10,smndt0(xp)),sz10) )],[refute_0_24,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( sdtpldt0(sz10,smndt0(xp)) != smndt0(sz10)
    | smndt0(sz10) != smndt0(sz10)
    | sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ),[0],$fot(smndt0(sz10))]]) ).

cnf(refute_0_28,plain,
    ( smndt0(sz10) != smndt0(sz10)
    | sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10) ),
    inference(resolve,[$cnf( $equal(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) )],[refute_0_26,refute_0_27]) ).

cnf(refute_0_29,plain,
    smndt0(sz10) != smndt0(sz10),
    inference(resolve,[$cnf( $equal(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) )],[refute_0_28,refute_0_19]) ).

cnf(refute_0_30,plain,
    smndt0(sz10) = smndt0(sz10),
    introduced(tautology,[refl,[$fot(smndt0(sz10))]]) ).

cnf(refute_0_31,plain,
    $false,
    inference(resolve,[$cnf( $equal(smndt0(sz10),smndt0(sz10)) )],[refute_0_30,refute_0_29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : NUM455+6 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15  % Command  : metis --show proof --show saturation %s
% 0.15/0.36  % Computer : n011.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  : 600
% 0.15/0.36  % DateTime : Wed Jul  6 14:48:38 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.15/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 52.74/52.93  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.74/52.93  
% 52.74/52.93  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 52.74/52.93  
%------------------------------------------------------------------------------