TSTP Solution File: RNG080+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG080+1 : 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.7eOjP5fRKe true

% Computer : n032.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 14:06:45 EDT 2023

% Result   : Theorem 116.52s 17.36s
% Output   : Refutation 116.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  107 (  49 unt;  22 typ;   0 def)
%            Number of atoms       :  161 (  93 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  674 (  55   ~;  52   |;  19   &; 543   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  22 usr;  14 con; 0-2 aty)
%            Number of variables   :   25 (   0   ^;  25   !;   0   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xq_type,type,
    xq: $i ).

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

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

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

thf(xF_type,type,
    xF: $i ).

thf(xC_type,type,
    xC: $i ).

thf(xp_type,type,
    xp: $i ).

thf(xD_type,type,
    xD: $i ).

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

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

thf(xH_type,type,
    xH: $i ).

thf(xB_type,type,
    xB: $i ).

thf(xE_type,type,
    xE: $i ).

thf(xG_type,type,
    xG: $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(xA_type,type,
    xA: $i ).

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

thf(mArith,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aScalar0 @ W0 )
        & ( aScalar0 @ W1 )
        & ( aScalar0 @ W2 ) )
     => ( ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
          = ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) )
        & ( ( sdtpldt0 @ W0 @ W1 )
          = ( sdtpldt0 @ W1 @ W0 ) )
        & ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
          = ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) )
        & ( ( sdtasdt0 @ W0 @ W1 )
          = ( sdtasdt0 @ W1 @ W0 ) ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl558,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25]) ).

thf(m__,conjecture,
    sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( 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(m__1746,axiom,
    ( ( xA
      = ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) )
    & ( aScalar0 @ xA ) ) ).

thf(zip_derived_cl65,plain,
    ( xA
    = ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ),
    inference(cnf,[status(esa)],[m__1746]) ).

thf(zip_derived_cl65_001,plain,
    ( xA
    = ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ),
    inference(cnf,[status(esa)],[m__1746]) ).

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_cl1180,plain,
    ! [X0: $i] :
      ( ( ( sdtasasdt0 @ X0 @ xs )
        = ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ X0 ) @ ( sziznziztdt0 @ xs ) ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) @ xA ) ) )
      | ( ( aDimensionOf0 @ X0 )
       != ( aDimensionOf0 @ xs ) )
      | ( ( aDimensionOf0 @ xs )
        = sz00 )
      | ~ ( aVector0 @ xs )
      | ~ ( aVector0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl65,zip_derived_cl54]) ).

thf(m__1709,axiom,
    ( ( xp
      = ( sziznziztdt0 @ xs ) )
    & ( aVector0 @ xp ) ) ).

thf(zip_derived_cl61,plain,
    ( xp
    = ( sziznziztdt0 @ xs ) ),
    inference(cnf,[status(esa)],[m__1709]) ).

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

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

thf(zip_derived_cl1189,plain,
    ! [X0: $i] :
      ( ( ( sdtasasdt0 @ X0 @ xs )
        = ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ X0 ) @ xp ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) @ xA ) ) )
      | ( ( aDimensionOf0 @ X0 )
       != ( aDimensionOf0 @ xs ) )
      | ( ( aDimensionOf0 @ xs )
        = sz00 )
      | ~ ( aVector0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1180,zip_derived_cl61,zip_derived_cl57]) ).

thf(m__1692,axiom,
    ( ( aDimensionOf0 @ xs )
   != sz00 ) ).

thf(zip_derived_cl60,plain,
    ( ( aDimensionOf0 @ xs )
   != sz00 ),
    inference(cnf,[status(esa)],[m__1692]) ).

thf(zip_derived_cl1190,plain,
    ! [X0: $i] :
      ( ( ( sdtasasdt0 @ X0 @ xs )
        = ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ X0 ) @ xp ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) @ xA ) ) )
      | ( ( aDimensionOf0 @ X0 )
       != ( aDimensionOf0 @ xs ) )
      | ~ ( aVector0 @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1189,zip_derived_cl60]) ).

thf(zip_derived_cl71948,plain,
    ( ( ( sdtasasdt0 @ xs @ xs )
      = ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ xp ) @ ( sdtasdt0 @ xA @ xA ) ) )
    | ~ ( aVector0 @ xs )
    | ( ( aDimensionOf0 @ xs )
     != ( aDimensionOf0 @ xs ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl65,zip_derived_cl1190]) ).

thf(zip_derived_cl61_002,plain,
    ( xp
    = ( sziznziztdt0 @ xs ) ),
    inference(cnf,[status(esa)],[m__1709]) ).

thf(m__1783,axiom,
    ( ( xC
      = ( sdtasasdt0 @ xp @ xp ) )
    & ( aScalar0 @ xC ) ) ).

thf(zip_derived_cl69,plain,
    ( xC
    = ( sdtasasdt0 @ xp @ xp ) ),
    inference(cnf,[status(esa)],[m__1783]) ).

thf(m__1837,axiom,
    ( ( xF
      = ( sdtasdt0 @ xA @ xA ) )
    & ( aScalar0 @ xF ) ) ).

thf(zip_derived_cl75,plain,
    ( xF
    = ( sdtasdt0 @ xA @ xA ) ),
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl57_003,plain,
    aVector0 @ xs,
    inference(cnf,[status(esa)],[m__1678]) ).

thf(zip_derived_cl71966,plain,
    ( ( ( sdtasasdt0 @ xs @ xs )
      = ( sdtpldt0 @ xC @ xF ) )
    | ( ( aDimensionOf0 @ xs )
     != ( aDimensionOf0 @ xs ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl71948,zip_derived_cl61,zip_derived_cl69,zip_derived_cl75,zip_derived_cl57]) ).

thf(zip_derived_cl71967,plain,
    ( ( sdtasasdt0 @ xs @ xs )
    = ( sdtpldt0 @ xC @ xF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl71966]) ).

thf(zip_derived_cl71984,plain,
    ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ xC @ xF ) @ ( sdtasasdt0 @ xt @ xt ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl71967]) ).

thf(zip_derived_cl72117,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ xC @ xF ) @ ( sdtasasdt0 @ xt @ xt ) ) )
    | ~ ( aScalar0 @ ( sdtasasdt0 @ xs @ xt ) )
    | ~ ( aScalar0 @ ( sdtasasdt0 @ xs @ xt ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl558,zip_derived_cl71984]) ).

thf(zip_derived_cl72137,plain,
    ( ~ ( aScalar0 @ ( sdtasasdt0 @ xs @ xt ) )
    | ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ xC @ xF ) @ ( sdtasasdt0 @ xt @ xt ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl72117]) ).

thf(zip_derived_cl65_004,plain,
    ( xA
    = ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ),
    inference(cnf,[status(esa)],[m__1746]) ).

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_cl54_005,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_cl1181,plain,
    ! [X0: $i] :
      ( ( ( sdtasasdt0 @ X0 @ xt )
        = ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ X0 ) @ ( sziznziztdt0 @ xt ) ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) @ ( sdtlbdtrb0 @ xt @ ( aDimensionOf0 @ xs ) ) ) ) )
      | ( ( aDimensionOf0 @ X0 )
       != ( aDimensionOf0 @ xt ) )
      | ( ( aDimensionOf0 @ xt )
        = sz00 )
      | ~ ( aVector0 @ xt )
      | ~ ( aVector0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl59,zip_derived_cl54]) ).

thf(m__1726,axiom,
    ( ( xq
      = ( sziznziztdt0 @ xt ) )
    & ( aVector0 @ xq ) ) ).

thf(zip_derived_cl63,plain,
    ( xq
    = ( sziznziztdt0 @ xt ) ),
    inference(cnf,[status(esa)],[m__1726]) ).

thf(m__1766,axiom,
    ( ( xB
      = ( sdtlbdtrb0 @ xt @ ( aDimensionOf0 @ xt ) ) )
    & ( aScalar0 @ xB ) ) ).

thf(zip_derived_cl67,plain,
    ( xB
    = ( sdtlbdtrb0 @ xt @ ( aDimensionOf0 @ xt ) ) ),
    inference(cnf,[status(esa)],[m__1766]) ).

thf(zip_derived_cl59_006,plain,
    ( ( aDimensionOf0 @ xs )
    = ( aDimensionOf0 @ xt ) ),
    inference(cnf,[status(esa)],[m__1678_01]) ).

thf(zip_derived_cl439,plain,
    ( xB
    = ( sdtlbdtrb0 @ xt @ ( aDimensionOf0 @ xs ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl59]) ).

thf(zip_derived_cl59_007,plain,
    ( ( aDimensionOf0 @ xs )
    = ( aDimensionOf0 @ xt ) ),
    inference(cnf,[status(esa)],[m__1678_01]) ).

thf(zip_derived_cl59_008,plain,
    ( ( aDimensionOf0 @ xs )
    = ( aDimensionOf0 @ xt ) ),
    inference(cnf,[status(esa)],[m__1678_01]) ).

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

thf(zip_derived_cl1191,plain,
    ! [X0: $i] :
      ( ( ( sdtasasdt0 @ X0 @ xt )
        = ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ X0 ) @ xq ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) @ xB ) ) )
      | ( ( aDimensionOf0 @ X0 )
       != ( aDimensionOf0 @ xs ) )
      | ( ( aDimensionOf0 @ xs )
        = sz00 )
      | ~ ( aVector0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1181,zip_derived_cl63,zip_derived_cl439,zip_derived_cl59,zip_derived_cl59,zip_derived_cl56]) ).

thf(zip_derived_cl60_009,plain,
    ( ( aDimensionOf0 @ xs )
   != sz00 ),
    inference(cnf,[status(esa)],[m__1692]) ).

thf(zip_derived_cl1192,plain,
    ! [X0: $i] :
      ( ( ( sdtasasdt0 @ X0 @ xt )
        = ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ X0 ) @ xq ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) @ xB ) ) )
      | ( ( aDimensionOf0 @ X0 )
       != ( aDimensionOf0 @ xs ) )
      | ~ ( aVector0 @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1191,zip_derived_cl60]) ).

thf(zip_derived_cl72275,plain,
    ( ( ( sdtasasdt0 @ xs @ xt )
      = ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ xq ) @ ( sdtasdt0 @ xA @ xB ) ) )
    | ~ ( aVector0 @ xs )
    | ( ( aDimensionOf0 @ xs )
     != ( aDimensionOf0 @ xs ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl65,zip_derived_cl1192]) ).

thf(zip_derived_cl61_010,plain,
    ( xp
    = ( sziznziztdt0 @ xs ) ),
    inference(cnf,[status(esa)],[m__1709]) ).

thf(m__1820,axiom,
    ( ( xE
      = ( sdtasasdt0 @ xp @ xq ) )
    & ( aScalar0 @ xE ) ) ).

thf(zip_derived_cl73,plain,
    ( xE
    = ( sdtasasdt0 @ xp @ xq ) ),
    inference(cnf,[status(esa)],[m__1820]) ).

thf(m__1873,axiom,
    ( ( xH
      = ( sdtasdt0 @ xA @ xB ) )
    & ( aScalar0 @ xH ) ) ).

thf(zip_derived_cl79,plain,
    ( xH
    = ( sdtasdt0 @ xA @ xB ) ),
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl57_011,plain,
    aVector0 @ xs,
    inference(cnf,[status(esa)],[m__1678]) ).

thf(zip_derived_cl72294,plain,
    ( ( ( sdtasasdt0 @ xs @ xt )
      = ( sdtpldt0 @ xE @ xH ) )
    | ( ( aDimensionOf0 @ xs )
     != ( aDimensionOf0 @ xs ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl72275,zip_derived_cl61,zip_derived_cl73,zip_derived_cl79,zip_derived_cl57]) ).

thf(zip_derived_cl72295,plain,
    ( ( sdtasasdt0 @ xs @ xt )
    = ( sdtpldt0 @ xE @ xH ) ),
    inference(simplify,[status(thm)],[zip_derived_cl72294]) ).

thf(zip_derived_cl72295_012,plain,
    ( ( sdtasasdt0 @ xs @ xt )
    = ( sdtpldt0 @ xE @ xH ) ),
    inference(simplify,[status(thm)],[zip_derived_cl72294]) ).

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_cl72317,plain,
    ( ( aScalar0 @ ( sdtpldt0 @ xE @ xH ) )
    | ( ( aDimensionOf0 @ xs )
     != ( aDimensionOf0 @ xt ) )
    | ~ ( aVector0 @ xt )
    | ~ ( aVector0 @ xs ) ),
    inference('sup+',[status(thm)],[zip_derived_cl72295,zip_derived_cl52]) ).

thf(zip_derived_cl59_013,plain,
    ( ( aDimensionOf0 @ xs )
    = ( aDimensionOf0 @ xt ) ),
    inference(cnf,[status(esa)],[m__1678_01]) ).

thf(zip_derived_cl56_014,plain,
    aVector0 @ xt,
    inference(cnf,[status(esa)],[m__1678]) ).

thf(zip_derived_cl57_015,plain,
    aVector0 @ xs,
    inference(cnf,[status(esa)],[m__1678]) ).

thf(zip_derived_cl72324,plain,
    ( ( aScalar0 @ ( sdtpldt0 @ xE @ xH ) )
    | ( ( aDimensionOf0 @ xs )
     != ( aDimensionOf0 @ xs ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl72317,zip_derived_cl59,zip_derived_cl56,zip_derived_cl57]) ).

thf(zip_derived_cl72325,plain,
    aScalar0 @ ( sdtpldt0 @ xE @ xH ),
    inference(simplify,[status(thm)],[zip_derived_cl72324]) ).

thf(zip_derived_cl72295_016,plain,
    ( ( sdtasasdt0 @ xs @ xt )
    = ( sdtpldt0 @ xE @ xH ) ),
    inference(simplify,[status(thm)],[zip_derived_cl72294]) ).

thf(zip_derived_cl72295_017,plain,
    ( ( sdtasasdt0 @ xs @ xt )
    = ( sdtpldt0 @ xE @ xH ) ),
    inference(simplify,[status(thm)],[zip_derived_cl72294]) ).

thf(zip_derived_cl59_018,plain,
    ( ( aDimensionOf0 @ xs )
    = ( aDimensionOf0 @ xt ) ),
    inference(cnf,[status(esa)],[m__1678_01]) ).

thf(zip_derived_cl1192_019,plain,
    ! [X0: $i] :
      ( ( ( sdtasasdt0 @ X0 @ xt )
        = ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ X0 ) @ xq ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) @ xB ) ) )
      | ( ( aDimensionOf0 @ X0 )
       != ( aDimensionOf0 @ xs ) )
      | ~ ( aVector0 @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1191,zip_derived_cl60]) ).

thf(zip_derived_cl72278,plain,
    ( ( ( sdtasasdt0 @ xt @ xt )
      = ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xt ) @ xq ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xt @ ( aDimensionOf0 @ xs ) ) @ xB ) ) )
    | ~ ( aVector0 @ xt )
    | ( ( aDimensionOf0 @ xt )
     != ( aDimensionOf0 @ xs ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl59,zip_derived_cl1192]) ).

thf(zip_derived_cl63_020,plain,
    ( xq
    = ( sziznziztdt0 @ xt ) ),
    inference(cnf,[status(esa)],[m__1726]) ).

thf(m__1800,axiom,
    ( ( xD
      = ( sdtasasdt0 @ xq @ xq ) )
    & ( aScalar0 @ xD ) ) ).

thf(zip_derived_cl71,plain,
    ( xD
    = ( sdtasasdt0 @ xq @ xq ) ),
    inference(cnf,[status(esa)],[m__1800]) ).

thf(zip_derived_cl439_021,plain,
    ( xB
    = ( sdtlbdtrb0 @ xt @ ( aDimensionOf0 @ xs ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl59]) ).

thf(m__1854,axiom,
    ( ( xG
      = ( sdtasdt0 @ xB @ xB ) )
    & ( aScalar0 @ xG ) ) ).

thf(zip_derived_cl77,plain,
    ( xG
    = ( sdtasdt0 @ xB @ xB ) ),
    inference(cnf,[status(esa)],[m__1854]) ).

thf(zip_derived_cl56_022,plain,
    aVector0 @ xt,
    inference(cnf,[status(esa)],[m__1678]) ).

thf(zip_derived_cl59_023,plain,
    ( ( aDimensionOf0 @ xs )
    = ( aDimensionOf0 @ xt ) ),
    inference(cnf,[status(esa)],[m__1678_01]) ).

thf(zip_derived_cl72300,plain,
    ( ( ( sdtasasdt0 @ xt @ xt )
      = ( sdtpldt0 @ xD @ xG ) )
    | ( ( aDimensionOf0 @ xs )
     != ( aDimensionOf0 @ xs ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl72278,zip_derived_cl63,zip_derived_cl71,zip_derived_cl439,zip_derived_cl77,zip_derived_cl56,zip_derived_cl59]) ).

thf(zip_derived_cl72301,plain,
    ( ( sdtasasdt0 @ xt @ xt )
    = ( sdtpldt0 @ xD @ xG ) ),
    inference(simplify,[status(thm)],[zip_derived_cl72300]) ).

thf(m__2733,axiom,
    sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xE @ xH ) @ ( sdtpldt0 @ xE @ xH ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ xC @ xF ) @ ( sdtpldt0 @ xD @ xG ) ) ).

thf(zip_derived_cl91,plain,
    sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xE @ xH ) @ ( sdtpldt0 @ xE @ xH ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ xC @ xF ) @ ( sdtpldt0 @ xD @ xG ) ),
    inference(cnf,[status(esa)],[m__2733]) ).

thf(zip_derived_cl87326,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl72137,zip_derived_cl72295,zip_derived_cl72325,zip_derived_cl72295,zip_derived_cl72295,zip_derived_cl72301,zip_derived_cl91]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : RNG080+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7eOjP5fRKe true
% 0.15/0.33  % Computer : n032.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Sun Aug 27 02:45:29 EDT 2023
% 0.15/0.34  % CPUTime  : 
% 0.15/0.34  % Running portfolio for 300 s
% 0.15/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.34  % Number of cores: 8
% 0.15/0.34  % Python version: Python 3.6.8
% 0.15/0.34  % Running in FO mode
% 0.18/0.62  % Total configuration time : 435
% 0.18/0.62  % Estimated wc time : 1092
% 0.18/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 116.52/17.36  % Solved by fo/fo3_bce.sh.
% 116.52/17.36  % BCE start: 93
% 116.52/17.36  % BCE eliminated: 0
% 116.52/17.36  % PE start: 93
% 116.52/17.36  logic: eq
% 116.52/17.36  % PE eliminated: 1
% 116.52/17.36  % done 4468 iterations in 16.580s
% 116.52/17.36  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 116.52/17.36  % SZS output start Refutation
% See solution above
% 116.52/17.36  
% 116.52/17.36  
% 116.52/17.36  % Terminating...
% 117.59/17.46  % Runner terminated.
% 117.59/17.48  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------