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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG081+1 : 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.dmdmM8MzO6 true

% Computer : n023.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 04:50:27 PM UTC 2025

% Result   : Theorem 0.60s 1.08s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   58 (  31 unt;   0 typ;   0 def)
%            Number of atoms       :  186 (  80 equ;   0 cnn)
%            Maximal formula atoms :   34 (   3 avg)
%            Number of connectives :  657 (  63   ~;  45   |;  73   &; 466   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   5 con; 0-2 aty)
%            Number of variables   :   48 (   0   ^;  20   !;  28   ?;  48   :)

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

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

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

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

thf(smndt0_type,type,
    smndt0: $i > $i ).

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

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

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

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

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

thf(xt_type,type,
    xt: $i ).

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

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

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

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(mScZero,axiom,
    ! [W0: $i] :
      ( ( aScalar0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ sz0z00 )
          = W0 )
        & ( ( sdtpldt0 @ sz0z00 @ W0 )
          = W0 )
        & ( ( sdtasdt0 @ W0 @ sz0z00 )
          = sz0z00 )
        & ( ( sdtasdt0 @ sz0z00 @ W0 )
          = sz0z00 )
        & ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
          = sz0z00 )
        & ( ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 )
          = sz0z00 )
        & ( ( smndt0 @ ( smndt0 @ W0 ) )
          = W0 )
        & ( ( smndt0 @ sz0z00 )
          = sz0z00 ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ X0 @ sz0z00 )
        = sz0z00 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(cnf,[status(esa)],[mScZero]) ).

thf(mDefSPZ,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aVector0 @ W0 )
        & ( aVector0 @ W1 ) )
     => ( ( ( ( aDimensionOf0 @ W0 )
            = ( aDimensionOf0 @ W1 ) )
          & ( ( aDimensionOf0 @ W1 )
            = sz00 ) )
       => ( ( sdtasasdt0 @ W0 @ W1 )
          = sz0z00 ) ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aVector0 @ X0 )
      | ~ ( aVector0 @ X1 )
      | ( ( sdtasasdt0 @ X0 @ X1 )
        = sz0z00 )
      | ( ( aDimensionOf0 @ X1 )
       != sz00 )
      | ( ( aDimensionOf0 @ X0 )
       != ( aDimensionOf0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mDefSPZ]) ).

thf(zip_derived_cl999,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aVector0 @ X0 )
      | ~ ( aVector0 @ X1 )
      | ( ( sdtasasdt0 @ X0 @ X1 )
        = sz0z00 )
      | ( ( aDimensionOf0 @ X1 )
       != sz00 )
      | ( ( aDimensionOf0 @ X0 )
       != sz00 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl52_001,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_cl17,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ sz0z00 @ X0 )
        = sz0z00 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(cnf,[status(esa)],[mScZero]) ).

thf(zip_derived_cl999_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aVector0 @ X0 )
      | ~ ( aVector0 @ X1 )
      | ( ( sdtasasdt0 @ X0 @ X1 )
        = sz0z00 )
      | ( ( aDimensionOf0 @ X1 )
       != sz00 )
      | ( ( aDimensionOf0 @ X0 )
       != sz00 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl53]) ).

thf(m__,conjecture,
    ( ( ( ( aDimensionOf0 @ xs )
       != sz00 )
     => ? [W0: $i] :
          ( ? [W1: $i] :
              ( ? [W2: $i] :
                  ( ? [W3: $i] :
                      ( ? [W4: $i] :
                          ( ? [W5: $i] :
                              ( ? [W6: $i] :
                                  ( ? [W7: $i] :
                                      ( ? [W8: $i] :
                                          ( ? [W9: $i] :
                                              ( ? [W10: $i] :
                                                  ( ? [W11: $i] :
                                                      ( ? [W12: $i] :
                                                          ( ? [W13: $i] :
                                                              ( ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) )
                                                              & ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ W6 @ W9 ) @ ( sdtpldt0 @ W6 @ W9 ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ W4 @ W7 ) @ ( sdtpldt0 @ W5 @ W8 ) ) )
                                                              & ( sdtlseqdt0 @ ( sdtpldt0 @ W11 @ W11 ) @ ( sdtpldt0 @ W10 @ W12 ) )
                                                              & ( sdtlseqdt0 @ ( sdtasdt0 @ W6 @ W6 ) @ ( sdtasdt0 @ W4 @ W5 ) )
                                                              & ( W13
                                                                = ( sdtasdt0 @ W10 @ W12 ) )
                                                              & ( aScalar0 @ W13 ) )
                                                          & ( W12
                                                            = ( sdtasdt0 @ W7 @ W5 ) )
                                                          & ( aScalar0 @ W12 ) )
                                                      & ( W11
                                                        = ( sdtasdt0 @ W6 @ W9 ) )
                                                      & ( aScalar0 @ W11 ) )
                                                  & ( W10
                                                    = ( sdtasdt0 @ W4 @ W8 ) )
                                                  & ( aScalar0 @ W10 ) )
                                              & ( W9
                                                = ( sdtasdt0 @ W2 @ W3 ) )
                                              & ( aScalar0 @ W9 ) )
                                          & ( W8
                                            = ( sdtasdt0 @ W3 @ W3 ) )
                                          & ( aScalar0 @ W8 ) )
                                      & ( W7
                                        = ( sdtasdt0 @ W2 @ W2 ) )
                                      & ( aScalar0 @ W7 ) )
                                  & ( W6
                                    = ( sdtasasdt0 @ W0 @ W1 ) )
                                  & ( aScalar0 @ W6 ) )
                              & ( W5
                                = ( sdtasasdt0 @ W1 @ W1 ) )
                              & ( aScalar0 @ W5 ) )
                          & ( W4
                            = ( sdtasasdt0 @ W0 @ W0 ) )
                          & ( aScalar0 @ W4 ) )
                      & ( W3
                        = ( sdtlbdtrb0 @ xt @ ( aDimensionOf0 @ xt ) ) )
                      & ( aScalar0 @ W3 ) )
                  & ( W2
                    = ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) )
                  & ( aScalar0 @ W2 ) )
              & ( W1
                = ( sziznziztdt0 @ xt ) )
              & ( aVector0 @ W1 ) )
          & ( W0
            = ( sziznziztdt0 @ xs ) )
          & ( aVector0 @ W0 ) ) )
   => ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( aDimensionOf0 @ xs )
         != sz00 )
       => ? [W0: $i] :
            ( ? [W1: $i] :
                ( ? [W2: $i] :
                    ( ? [W3: $i] :
                        ( ? [W4: $i] :
                            ( ? [W5: $i] :
                                ( ? [W6: $i] :
                                    ( ? [W7: $i] :
                                        ( ? [W8: $i] :
                                            ( ? [W9: $i] :
                                                ( ? [W10: $i] :
                                                    ( ? [W11: $i] :
                                                        ( ? [W12: $i] :
                                                            ( ? [W13: $i] :
                                                                ( ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) )
                                                                & ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ W6 @ W9 ) @ ( sdtpldt0 @ W6 @ W9 ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ W4 @ W7 ) @ ( sdtpldt0 @ W5 @ W8 ) ) )
                                                                & ( sdtlseqdt0 @ ( sdtpldt0 @ W11 @ W11 ) @ ( sdtpldt0 @ W10 @ W12 ) )
                                                                & ( sdtlseqdt0 @ ( sdtasdt0 @ W6 @ W6 ) @ ( sdtasdt0 @ W4 @ W5 ) )
                                                                & ( W13
                                                                  = ( sdtasdt0 @ W10 @ W12 ) )
                                                                & ( aScalar0 @ W13 ) )
                                                            & ( W12
                                                              = ( sdtasdt0 @ W7 @ W5 ) )
                                                            & ( aScalar0 @ W12 ) )
                                                        & ( W11
                                                          = ( sdtasdt0 @ W6 @ W9 ) )
                                                        & ( aScalar0 @ W11 ) )
                                                    & ( W10
                                                      = ( sdtasdt0 @ W4 @ W8 ) )
                                                    & ( aScalar0 @ W10 ) )
                                                & ( W9
                                                  = ( sdtasdt0 @ W2 @ W3 ) )
                                                & ( aScalar0 @ W9 ) )
                                            & ( W8
                                              = ( sdtasdt0 @ W3 @ W3 ) )
                                            & ( aScalar0 @ W8 ) )
                                        & ( W7
                                          = ( sdtasdt0 @ W2 @ W2 ) )
                                        & ( aScalar0 @ W7 ) )
                                    & ( W6
                                      = ( sdtasasdt0 @ W0 @ W1 ) )
                                    & ( aScalar0 @ W6 ) )
                                & ( W5
                                  = ( sdtasasdt0 @ W1 @ W1 ) )
                                & ( aScalar0 @ W5 ) )
                            & ( W4
                              = ( sdtasasdt0 @ W0 @ W0 ) )
                            & ( aScalar0 @ W4 ) )
                        & ( W3
                          = ( sdtlbdtrb0 @ xt @ ( aDimensionOf0 @ xt ) ) )
                        & ( aScalar0 @ W3 ) )
                    & ( W2
                      = ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) )
                    & ( aScalar0 @ W2 ) )
                & ( W1
                  = ( sziznziztdt0 @ xt ) )
                & ( aVector0 @ W1 ) )
            & ( W0
              = ( sziznziztdt0 @ xs ) )
            & ( aVector0 @ W0 ) ) )
     => ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl92,plain,
    ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1002,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ sz0z00 @ ( sdtasasdt0 @ xt @ xt ) ) )
    | ( ( aDimensionOf0 @ xs )
     != sz00 )
    | ( ( aDimensionOf0 @ xs )
     != sz00 )
    | ~ ( aVector0 @ xs )
    | ~ ( aVector0 @ xs ) ),
    inference('sup-',[status(thm)],[zip_derived_cl999,zip_derived_cl92]) ).

thf(zip_derived_cl77,plain,
    ( ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) )
    | ( ( aDimensionOf0 @ xs )
      = sz00 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl92_003,plain,
    ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl925,plain,
    ( ( aDimensionOf0 @ xs )
    = sz00 ),
    inference(clc,[status(thm)],[zip_derived_cl77,zip_derived_cl92]) ).

thf(zip_derived_cl925_004,plain,
    ( ( aDimensionOf0 @ xs )
    = sz00 ),
    inference(clc,[status(thm)],[zip_derived_cl77,zip_derived_cl92]) ).

thf(m__1678,axiom,
    ( ( aVector0 @ xt )
    & ( aVector0 @ xs ) ) ).

thf(zip_derived_cl57,plain,
    aVector0 @ xs,
    inference(cnf,[status(esa)],[m__1678]) ).

thf(zip_derived_cl57_005,plain,
    aVector0 @ xs,
    inference(cnf,[status(esa)],[m__1678]) ).

thf(zip_derived_cl1009,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ sz0z00 @ ( sdtasasdt0 @ xt @ xt ) ) )
    | ( sz00 != sz00 )
    | ( sz00 != sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1002,zip_derived_cl925,zip_derived_cl925,zip_derived_cl57,zip_derived_cl57]) ).

thf(zip_derived_cl1010,plain,
    ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ sz0z00 @ ( sdtasasdt0 @ xt @ xt ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1009]) ).

thf(zip_derived_cl1017,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ sz0z00 )
    | ~ ( aScalar0 @ ( sdtasasdt0 @ xt @ xt ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl1010]) ).

thf(zip_derived_cl1033,plain,
    ( ( ( aDimensionOf0 @ xt )
     != ( aDimensionOf0 @ xt ) )
    | ~ ( aVector0 @ xt )
    | ~ ( aVector0 @ xt )
    | ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ sz0z00 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl1017]) ).

thf(m__1678_01,axiom,
    ( ( aDimensionOf0 @ xs )
    = ( aDimensionOf0 @ xt ) ) ).

thf(zip_derived_cl59,plain,
    ( ( aDimensionOf0 @ xs )
    = ( aDimensionOf0 @ xt ) ),
    inference(cnf,[status(esa)],[m__1678_01]) ).

thf(zip_derived_cl925_006,plain,
    ( ( aDimensionOf0 @ xs )
    = sz00 ),
    inference(clc,[status(thm)],[zip_derived_cl77,zip_derived_cl92]) ).

thf(zip_derived_cl926,plain,
    ( sz00
    = ( aDimensionOf0 @ xt ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl925]) ).

thf(zip_derived_cl926_007,plain,
    ( sz00
    = ( aDimensionOf0 @ xt ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl925]) ).

thf(zip_derived_cl56,plain,
    aVector0 @ xt,
    inference(cnf,[status(esa)],[m__1678]) ).

thf(zip_derived_cl56_008,plain,
    aVector0 @ xt,
    inference(cnf,[status(esa)],[m__1678]) ).

thf(zip_derived_cl1035,plain,
    ( ( sz00 != sz00 )
    | ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ sz0z00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl926,zip_derived_cl926,zip_derived_cl56,zip_derived_cl56]) ).

thf(zip_derived_cl1036,plain,
    ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ sz0z00 ),
    inference(simplify,[status(thm)],[zip_derived_cl1035]) ).

thf(zip_derived_cl1043,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ sz0z00 ) @ sz0z00 )
    | ( ( aDimensionOf0 @ xs )
     != sz00 )
    | ( ( aDimensionOf0 @ xt )
     != sz00 )
    | ~ ( aVector0 @ xt )
    | ~ ( aVector0 @ xs ) ),
    inference('sup-',[status(thm)],[zip_derived_cl999,zip_derived_cl1036]) ).

thf(zip_derived_cl925_009,plain,
    ( ( aDimensionOf0 @ xs )
    = sz00 ),
    inference(clc,[status(thm)],[zip_derived_cl77,zip_derived_cl92]) ).

thf(zip_derived_cl926_010,plain,
    ( sz00
    = ( aDimensionOf0 @ xt ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl925]) ).

thf(zip_derived_cl56_011,plain,
    aVector0 @ xt,
    inference(cnf,[status(esa)],[m__1678]) ).

thf(zip_derived_cl57_012,plain,
    aVector0 @ xs,
    inference(cnf,[status(esa)],[m__1678]) ).

thf(zip_derived_cl1047,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ sz0z00 ) @ sz0z00 )
    | ( sz00 != sz00 )
    | ( sz00 != sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1043,zip_derived_cl925,zip_derived_cl926,zip_derived_cl56,zip_derived_cl57]) ).

thf(zip_derived_cl1048,plain,
    ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ sz0z00 ) @ sz0z00 ),
    inference(simplify,[status(thm)],[zip_derived_cl1047]) ).

thf(zip_derived_cl1091,plain,
    ( ~ ( sdtlseqdt0 @ sz0z00 @ sz0z00 )
    | ~ ( aScalar0 @ ( sdtasasdt0 @ xs @ xt ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1048]) ).

thf(zip_derived_cl16_013,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ X0 @ sz0z00 )
        = sz0z00 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(cnf,[status(esa)],[mScZero]) ).

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

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ X0 ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSqPos]) ).

thf(zip_derived_cl602,plain,
    ( ( sdtlseqdt0 @ sz0z00 @ sz0z00 )
    | ~ ( aScalar0 @ sz0z00 )
    | ~ ( aScalar0 @ sz0z00 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl41]) ).

thf(mSZeroSc,axiom,
    aScalar0 @ sz0z00 ).

thf(zip_derived_cl10,plain,
    aScalar0 @ sz0z00,
    inference(cnf,[status(esa)],[mSZeroSc]) ).

thf(zip_derived_cl10_014,plain,
    aScalar0 @ sz0z00,
    inference(cnf,[status(esa)],[mSZeroSc]) ).

thf(zip_derived_cl604,plain,
    sdtlseqdt0 @ sz0z00 @ sz0z00,
    inference(demod,[status(thm)],[zip_derived_cl602,zip_derived_cl10,zip_derived_cl10]) ).

thf(zip_derived_cl1095,plain,
    ~ ( aScalar0 @ ( sdtasasdt0 @ xs @ xt ) ),
    inference(demod,[status(thm)],[zip_derived_cl1091,zip_derived_cl604]) ).

thf(zip_derived_cl1099,plain,
    ( ( ( aDimensionOf0 @ xs )
     != ( aDimensionOf0 @ xt ) )
    | ~ ( aVector0 @ xt )
    | ~ ( aVector0 @ xs ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl1095]) ).

thf(zip_derived_cl925_015,plain,
    ( ( aDimensionOf0 @ xs )
    = sz00 ),
    inference(clc,[status(thm)],[zip_derived_cl77,zip_derived_cl92]) ).

thf(zip_derived_cl926_016,plain,
    ( sz00
    = ( aDimensionOf0 @ xt ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl925]) ).

thf(zip_derived_cl56_017,plain,
    aVector0 @ xt,
    inference(cnf,[status(esa)],[m__1678]) ).

thf(zip_derived_cl57_018,plain,
    aVector0 @ xs,
    inference(cnf,[status(esa)],[m__1678]) ).

thf(zip_derived_cl1101,plain,
    sz00 != sz00,
    inference(demod,[status(thm)],[zip_derived_cl1099,zip_derived_cl925,zip_derived_cl926,zip_derived_cl56,zip_derived_cl57]) ).

thf(zip_derived_cl1102,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1101]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : RNG081+1 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dmdmM8MzO6 true
% 0.13/0.35  % Computer : n023.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 17:23:08 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
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.58/0.71  % Total configuration time : 435
% 0.58/0.71  % Estimated wc time : 1092
% 0.58/0.71  % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.84  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.85  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.85  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.89  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.95  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.96  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.99  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.60/1.08  % Solved by fo/fo3_bce.sh.
% 0.60/1.08  % BCE start: 93
% 0.60/1.08  % BCE eliminated: 0
% 0.60/1.08  % PE start: 93
% 0.60/1.08  logic: eq
% 0.60/1.08  % PE eliminated: 1
% 0.60/1.08  % done 162 iterations in 0.189s
% 0.60/1.08  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/1.08  % SZS output start Refutation
% See solution above
% 0.60/1.08  
% 0.60/1.08  
% 0.60/1.08  % Terminating...
% 2.16/1.22  % Runner terminated.
% 2.19/1.25  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------