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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG049+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AYX8mz5LV5 true

% 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 : Thu Oct  2 04:50:20 PM UTC 2025

% Result   : Theorem 136.04s 20.13s
% Output   : Refutation 136.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   58 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :  149 (  25 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  619 (  68   ~;  58   |;  16   &; 460   @)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   4 con; 0-2 aty)
%            Number of variables   :   38 (   0   ^;  38   !;   0   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
    aNaturalNumber0: $i > $o ).

thf(sdtlbdtrb0_type,type,
    sdtlbdtrb0: $i > $i > $i ).

thf(sziznziztdt0_type,type,
    sziznziztdt0: $i > $i ).

thf(szszuzczcdt0_type,type,
    szszuzczcdt0: $i > $i ).

thf(aVector0_type,type,
    aVector0: $i > $o ).

thf(sz00_type,type,
    sz00: $i ).

thf(sz0z00_type,type,
    sz0z00: $i ).

thf(xs_type,type,
    xs: $i ).

thf(aDimensionOf0_type,type,
    aDimensionOf0: $i > $i ).

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $i > $i ).

thf(aScalar0_type,type,
    aScalar0: $i > $o ).

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

thf(iLess0_type,type,
    iLess0: $i > $i > $o ).

thf(sdtasdt0_type,type,
    sdtasdt0: $i > $i > $i ).

thf(sdtasasdt0_type,type,
    sdtasasdt0: $i > $i > $i ).

thf(mElmSc,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aVector0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( aScalar0 @ ( sdtlbdtrb0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aVector0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aScalar0 @ ( sdtlbdtrb0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mElmSc]) ).

thf(mDimNat,axiom,
    ! [W0: $i] :
      ( ( aVector0 @ W0 )
     => ( aNaturalNumber0 @ ( aDimensionOf0 @ W0 ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( aNaturalNumber0 @ ( aDimensionOf0 @ X0 ) )
      | ~ ( aVector0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDimNat]) ).

thf(mMulSc,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aScalar0 @ W0 )
        & ( aScalar0 @ W1 ) )
     => ( aScalar0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mMulSc]) ).

thf(mScPr,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aVector0 @ W0 )
        & ( aVector0 @ W1 ) )
     => ( ( ( aDimensionOf0 @ W0 )
          = ( aDimensionOf0 @ W1 ) )
       => ( aScalar0 @ ( sdtasasdt0 @ W0 @ W1 ) ) ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aVector0 @ X0 )
      | ~ ( aVector0 @ X1 )
      | ( aScalar0 @ ( sdtasasdt0 @ X0 @ X1 ) )
      | ( ( aDimensionOf0 @ X0 )
       != ( aDimensionOf0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mScPr]) ).

thf(zip_derived_cl245,plain,
    ! [X0: $i] :
      ( ( aScalar0 @ ( sdtasasdt0 @ X0 @ X0 ) )
      | ~ ( aVector0 @ X0 )
      | ~ ( aVector0 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl246,plain,
    ! [X0: $i] :
      ( ~ ( aVector0 @ X0 )
      | ( aScalar0 @ ( sdtasasdt0 @ X0 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl245]) ).

thf(mDefSPN,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aVector0 @ W0 )
        & ( aVector0 @ W1 ) )
     => ( ( ( ( aDimensionOf0 @ W0 )
            = ( aDimensionOf0 @ W1 ) )
          & ( ( aDimensionOf0 @ W1 )
           != sz00 ) )
       => ( ( sdtasasdt0 @ W0 @ W1 )
          = ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ W0 ) @ ( sziznziztdt0 @ W1 ) ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ W0 @ ( aDimensionOf0 @ W0 ) ) @ ( sdtlbdtrb0 @ W1 @ ( aDimensionOf0 @ W1 ) ) ) ) ) ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aVector0 @ X0 )
      | ~ ( aVector0 @ X1 )
      | ( ( sdtasasdt0 @ X0 @ X1 )
        = ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ X0 ) @ ( sziznziztdt0 @ X1 ) ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) @ ( sdtlbdtrb0 @ X1 @ ( aDimensionOf0 @ X1 ) ) ) ) )
      | ( ( aDimensionOf0 @ X1 )
        = sz00 )
      | ( ( aDimensionOf0 @ X0 )
       != ( aDimensionOf0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mDefSPN]) ).

thf(zip_derived_cl715,plain,
    ! [X0: $i] :
      ( ( ( aDimensionOf0 @ X0 )
        = sz00 )
      | ( ( sdtasasdt0 @ X0 @ X0 )
        = ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ X0 ) @ ( sziznziztdt0 @ X0 ) ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) ) ) )
      | ~ ( aVector0 @ X0 )
      | ~ ( aVector0 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl716,plain,
    ! [X0: $i] :
      ( ~ ( aVector0 @ X0 )
      | ( ( sdtasasdt0 @ X0 @ X0 )
        = ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ X0 ) @ ( sziznziztdt0 @ X0 ) ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) ) ) )
      | ( ( aDimensionOf0 @ X0 )
        = sz00 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl715]) ).

thf(m__1568,axiom,
    ( ( ( szszuzczcdt0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
      = ( aDimensionOf0 @ xs ) )
    & ! [W0: $i] :
        ( ( aNaturalNumber0 @ W0 )
       => ( ( sdtlbdtrb0 @ ( sziznziztdt0 @ xs ) @ W0 )
          = ( sdtlbdtrb0 @ xs @ W0 ) ) )
    & ! [W0: $i] :
        ( ( aNaturalNumber0 @ W0 )
       => ( ( sdtlbdtrb0 @ ( sziznziztdt0 @ xs ) @ W0 )
          = ( sdtlbdtrb0 @ xs @ W0 ) ) )
    & ( aVector0 @ ( sziznziztdt0 @ xs ) ) ) ).

thf(zip_derived_cl61,plain,
    ( ( szszuzczcdt0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
    = ( aDimensionOf0 @ xs ) ),
    inference(cnf,[status(esa)],[m__1568]) ).

thf(mIH,axiom,
    ! [W0: $i] :
      ( ( aNaturalNumber0 @ W0 )
     => ( iLess0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( iLess0 @ X0 @ ( szszuzczcdt0 @ X0 ) )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[mIH]) ).

thf(zip_derived_cl79,plain,
    ( ( iLess0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) @ ( aDimensionOf0 @ xs ) )
    | ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl8]) ).

thf(m__1516,axiom,
    ! [W0: $i] :
      ( ( aVector0 @ W0 )
     => ( ( iLess0 @ ( aDimensionOf0 @ W0 ) @ ( aDimensionOf0 @ xs ) )
       => ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ W0 @ W0 ) ) ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i] :
      ( ~ ( iLess0 @ ( aDimensionOf0 @ X0 ) @ ( aDimensionOf0 @ xs ) )
      | ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ X0 @ X0 ) )
      | ~ ( aVector0 @ X0 ) ),
    inference(cnf,[status(esa)],[m__1516]) ).

thf(zip_derived_cl812,plain,
    ( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
    | ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ ( sziznziztdt0 @ xs ) ) )
    | ~ ( aVector0 @ ( sziznziztdt0 @ xs ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl56]) ).

thf(zip_derived_cl58,plain,
    aVector0 @ ( sziznziztdt0 @ xs ),
    inference(cnf,[status(esa)],[m__1568]) ).

thf(zip_derived_cl813,plain,
    ( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
    | ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ ( sziznziztdt0 @ xs ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl812,zip_derived_cl58]) ).

thf(mPosMon,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aScalar0 @ W0 )
        & ( aScalar0 @ W1 ) )
     => ( ( ( sdtlseqdt0 @ sz0z00 @ W0 )
          & ( sdtlseqdt0 @ sz0z00 @ W1 ) )
       => ( ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ W0 @ W1 ) )
          & ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ X0 @ X1 ) )
      | ~ ( sdtlseqdt0 @ sz0z00 @ X1 ) ),
    inference(cnf,[status(esa)],[mPosMon]) ).

thf(zip_derived_cl821,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
      | ~ ( aScalar0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ ( sziznziztdt0 @ xs ) ) )
      | ~ ( aScalar0 @ X0 )
      | ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ ( sziznziztdt0 @ xs ) ) @ X0 ) )
      | ~ ( sdtlseqdt0 @ sz0z00 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl813,zip_derived_cl40]) ).

thf(zip_derived_cl84355,plain,
    ( ( ( aDimensionOf0 @ xs )
      = sz00 )
    | ~ ( aVector0 @ xs )
    | ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
    | ~ ( aScalar0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ ( sziznziztdt0 @ xs ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) )
    | ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) )
    | ~ ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl716,zip_derived_cl821]) ).

thf(m__1542,axiom,
    aVector0 @ xs ).

thf(zip_derived_cl55,plain,
    aVector0 @ xs,
    inference(cnf,[status(esa)],[m__1542]) ).

thf(m__,conjecture,
    sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl67,plain,
    ~ ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__1590,axiom,
    ( ! [W0: $i] :
        ( ( aNaturalNumber0 @ W0 )
       => ( ( sdtlbdtrb0 @ ( sziznziztdt0 @ xs ) @ W0 )
          = ( sdtlbdtrb0 @ xs @ W0 ) ) )
    & ( ( szszuzczcdt0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
      = ( aDimensionOf0 @ xs ) )
    & ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) )
    & ! [W0: $i] :
        ( ( aNaturalNumber0 @ W0 )
       => ( ( sdtlbdtrb0 @ ( sziznziztdt0 @ xs ) @ W0 )
          = ( sdtlbdtrb0 @ xs @ W0 ) ) )
    & ( aVector0 @ ( sziznziztdt0 @ xs ) ) ) ).

thf(zip_derived_cl64,plain,
    sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ),
    inference(cnf,[status(esa)],[m__1590]) ).

thf(zip_derived_cl84372,plain,
    ( ( ( aDimensionOf0 @ xs )
      = sz00 )
    | ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
    | ~ ( aScalar0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ ( sziznziztdt0 @ xs ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl84355,zip_derived_cl55,zip_derived_cl67,zip_derived_cl64]) ).

thf(m__1542_01,axiom,
    ( ( aDimensionOf0 @ xs )
   != sz00 ) ).

thf(zip_derived_cl57,plain,
    ( ( aDimensionOf0 @ xs )
   != sz00 ),
    inference(cnf,[status(esa)],[m__1542_01]) ).

thf(zip_derived_cl84373,plain,
    ( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
    | ~ ( aScalar0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ ( sziznziztdt0 @ xs ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl84372,zip_derived_cl57]) ).

thf(zip_derived_cl84376,plain,
    ( ~ ( aVector0 @ ( sziznziztdt0 @ xs ) )
    | ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl84373]) ).

thf(zip_derived_cl58_001,plain,
    aVector0 @ ( sziznziztdt0 @ xs ),
    inference(cnf,[status(esa)],[m__1568]) ).

thf(zip_derived_cl84377,plain,
    ( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl84376,zip_derived_cl58]) ).

thf(zip_derived_cl84382,plain,
    ( ~ ( aScalar0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) )
    | ~ ( aScalar0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) )
    | ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl84377]) ).

thf(zip_derived_cl84385,plain,
    ( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
    | ~ ( aScalar0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl84382]) ).

thf(zip_derived_cl84390,plain,
    ( ~ ( aVector0 @ ( sziznziztdt0 @ xs ) )
    | ~ ( aScalar0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl84385]) ).

thf(zip_derived_cl58_002,plain,
    aVector0 @ ( sziznziztdt0 @ xs ),
    inference(cnf,[status(esa)],[m__1568]) ).

thf(zip_derived_cl84391,plain,
    ~ ( aScalar0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl84390,zip_derived_cl58]) ).

thf(zip_derived_cl84395,plain,
    ( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xs ) )
    | ~ ( aVector0 @ xs ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl84391]) ).

thf(zip_derived_cl44_003,plain,
    ! [X0: $i] :
      ( ( aNaturalNumber0 @ ( aDimensionOf0 @ X0 ) )
      | ~ ( aVector0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDimNat]) ).

thf(zip_derived_cl61_004,plain,
    ( ( szszuzczcdt0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
    = ( aDimensionOf0 @ xs ) ),
    inference(cnf,[status(esa)],[m__1568]) ).

thf(mSuccNat,axiom,
    ! [W0: $i] :
      ( ( aNaturalNumber0 @ W0 )
     => ( ( aNaturalNumber0 @ ( szszuzczcdt0 @ W0 ) )
        & ( ( szszuzczcdt0 @ W0 )
         != sz00 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( aNaturalNumber0 @ ( szszuzczcdt0 @ X0 ) )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSuccNat]) ).

thf(zip_derived_cl70,plain,
    ( ( aNaturalNumber0 @ ( aDimensionOf0 @ xs ) )
    | ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl2]) ).

thf(zip_derived_cl87,plain,
    ( ~ ( aVector0 @ ( sziznziztdt0 @ xs ) )
    | ( aNaturalNumber0 @ ( aDimensionOf0 @ xs ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl70]) ).

thf(zip_derived_cl58_005,plain,
    aVector0 @ ( sziznziztdt0 @ xs ),
    inference(cnf,[status(esa)],[m__1568]) ).

thf(zip_derived_cl88,plain,
    aNaturalNumber0 @ ( aDimensionOf0 @ xs ),
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl58]) ).

thf(zip_derived_cl55_006,plain,
    aVector0 @ xs,
    inference(cnf,[status(esa)],[m__1542]) ).

thf(zip_derived_cl84397,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl84395,zip_derived_cl88,zip_derived_cl55]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : RNG049+2 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AYX8mz5LV5 true
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 17:25:23 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.42/0.63  % Total configuration time : 435
% 0.42/0.63  % Estimated wc time : 1092
% 0.42/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 136.04/20.13  % Solved by fo/fo13.sh.
% 136.04/20.13  % done 2780 iterations in 19.348s
% 136.04/20.13  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 136.04/20.13  % SZS output start Refutation
% See solution above
% 136.04/20.13  
% 136.04/20.13  
% 136.04/20.13  % Terminating...
% 136.04/20.21  % Runner terminated.
% 136.04/20.22  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------