TSTP Solution File: RNG081+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG081+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.w6GDEcTbyo true

% Computer : n005.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 Aug 31 14:06:46 EDT 2023

% Result   : Theorem 1.31s 0.87s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   74 (  31 unt;  16 typ;   0 def)
%            Number of atoms       :  198 (  88 equ;   0 cnn)
%            Maximal formula atoms :   40 (   3 avg)
%            Number of connectives :  701 (  63   ~;  45   |;  81   &; 498   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   5 con; 0-2 aty)
%            Number of variables   :   52 (   0   ^;  24   !;  28   ?;  52   :)

% 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(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_cl1022,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_cl1022_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 ) )
              & ! [W2: $i] :
                  ( ( aNaturalNumber0 @ W2 )
                 => ( ( sdtlbdtrb0 @ W1 @ W2 )
                    = ( sdtlbdtrb0 @ xt @ W2 ) ) )
              & ( ( szszuzczcdt0 @ ( aDimensionOf0 @ W1 ) )
                = ( aDimensionOf0 @ xt ) )
              & ( aVector0 @ W1 ) )
          & ( W0
            = ( sziznziztdt0 @ xs ) )
          & ! [W1: $i] :
              ( ( aNaturalNumber0 @ W1 )
             => ( ( sdtlbdtrb0 @ W0 @ W1 )
                = ( sdtlbdtrb0 @ xs @ W1 ) ) )
          & ( ( szszuzczcdt0 @ ( aDimensionOf0 @ W0 ) )
            = ( aDimensionOf0 @ 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 ) )
                & ! [W2: $i] :
                    ( ( aNaturalNumber0 @ W2 )
                   => ( ( sdtlbdtrb0 @ W1 @ W2 )
                      = ( sdtlbdtrb0 @ xt @ W2 ) ) )
                & ( ( szszuzczcdt0 @ ( aDimensionOf0 @ W1 ) )
                  = ( aDimensionOf0 @ xt ) )
                & ( aVector0 @ W1 ) )
            & ( W0
              = ( sziznziztdt0 @ xs ) )
            & ! [W1: $i] :
                ( ( aNaturalNumber0 @ W1 )
               => ( ( sdtlbdtrb0 @ W0 @ W1 )
                  = ( sdtlbdtrb0 @ xs @ W1 ) ) )
            & ( ( szszuzczcdt0 @ ( aDimensionOf0 @ W0 ) )
              = ( aDimensionOf0 @ 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_cl96,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_cl1025,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_cl1022,zip_derived_cl96]) ).

thf(zip_derived_cl79,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_cl96_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_cl944,plain,
    ( ( aDimensionOf0 @ xs )
    = sz00 ),
    inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl96]) ).

thf(zip_derived_cl944_004,plain,
    ( ( aDimensionOf0 @ xs )
    = sz00 ),
    inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl96]) ).

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_cl1032,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ sz0z00 @ ( sdtasasdt0 @ xt @ xt ) ) )
    | ( sz00 != sz00 )
    | ( sz00 != sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1025,zip_derived_cl944,zip_derived_cl944,zip_derived_cl57,zip_derived_cl57]) ).

thf(zip_derived_cl1033,plain,
    ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ sz0z00 @ ( sdtasasdt0 @ xt @ xt ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1032]) ).

thf(zip_derived_cl1040,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ sz0z00 )
    | ~ ( aScalar0 @ ( sdtasasdt0 @ xt @ xt ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl1033]) ).

thf(zip_derived_cl1056,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_cl1040]) ).

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_cl944_006,plain,
    ( ( aDimensionOf0 @ xs )
    = sz00 ),
    inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl96]) ).

thf(zip_derived_cl945,plain,
    ( sz00
    = ( aDimensionOf0 @ xt ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl944]) ).

thf(zip_derived_cl945_007,plain,
    ( sz00
    = ( aDimensionOf0 @ xt ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl944]) ).

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_cl1058,plain,
    ( ( sz00 != sz00 )
    | ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ sz0z00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1056,zip_derived_cl945,zip_derived_cl945,zip_derived_cl56,zip_derived_cl56]) ).

thf(zip_derived_cl1059,plain,
    ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ sz0z00 ),
    inference(simplify,[status(thm)],[zip_derived_cl1058]) ).

thf(zip_derived_cl1066,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ sz0z00 ) @ sz0z00 )
    | ( ( aDimensionOf0 @ xs )
     != sz00 )
    | ( ( aDimensionOf0 @ xt )
     != sz00 )
    | ~ ( aVector0 @ xt )
    | ~ ( aVector0 @ xs ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1022,zip_derived_cl1059]) ).

thf(zip_derived_cl944_009,plain,
    ( ( aDimensionOf0 @ xs )
    = sz00 ),
    inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl96]) ).

thf(zip_derived_cl945_010,plain,
    ( sz00
    = ( aDimensionOf0 @ xt ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl944]) ).

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_cl1070,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ sz0z00 ) @ sz0z00 )
    | ( sz00 != sz00 )
    | ( sz00 != sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1066,zip_derived_cl944,zip_derived_cl945,zip_derived_cl56,zip_derived_cl57]) ).

thf(zip_derived_cl1071,plain,
    ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ sz0z00 ) @ sz0z00 ),
    inference(simplify,[status(thm)],[zip_derived_cl1070]) ).

thf(zip_derived_cl1114,plain,
    ( ~ ( sdtlseqdt0 @ sz0z00 @ sz0z00 )
    | ~ ( aScalar0 @ ( sdtasasdt0 @ xs @ xt ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1071]) ).

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_cl621,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_cl623,plain,
    sdtlseqdt0 @ sz0z00 @ sz0z00,
    inference(demod,[status(thm)],[zip_derived_cl621,zip_derived_cl10,zip_derived_cl10]) ).

thf(zip_derived_cl1118,plain,
    ~ ( aScalar0 @ ( sdtasasdt0 @ xs @ xt ) ),
    inference(demod,[status(thm)],[zip_derived_cl1114,zip_derived_cl623]) ).

thf(zip_derived_cl1122,plain,
    ( ( ( aDimensionOf0 @ xs )
     != ( aDimensionOf0 @ xt ) )
    | ~ ( aVector0 @ xt )
    | ~ ( aVector0 @ xs ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl1118]) ).

thf(zip_derived_cl944_015,plain,
    ( ( aDimensionOf0 @ xs )
    = sz00 ),
    inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl96]) ).

thf(zip_derived_cl945_016,plain,
    ( sz00
    = ( aDimensionOf0 @ xt ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl944]) ).

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_cl1124,plain,
    sz00 != sz00,
    inference(demod,[status(thm)],[zip_derived_cl1122,zip_derived_cl944,zip_derived_cl945,zip_derived_cl56,zip_derived_cl57]) ).

thf(zip_derived_cl1125,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1124]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG081+2 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.w6GDEcTbyo true
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 02:59:23 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.87  % Solved by fo/fo3_bce.sh.
% 1.31/0.87  % BCE start: 97
% 1.31/0.87  % BCE eliminated: 0
% 1.31/0.87  % PE start: 97
% 1.31/0.87  logic: eq
% 1.31/0.87  % PE eliminated: 1
% 1.31/0.87  % done 162 iterations in 0.099s
% 1.31/0.87  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/0.87  % SZS output start Refutation
% See solution above
% 1.31/0.87  
% 1.31/0.87  
% 1.31/0.87  % Terminating...
% 1.77/0.98  % Runner terminated.
% 1.77/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------