TSTP Solution File: RNG056+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG056+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6r5gD9PBtA true

% Computer : n013.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 14:06:34 EDT 2023

% Result   : Theorem 19.89s 3.53s
% Output   : Refutation 19.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  191 (  86 unt;  22 typ;   0 def)
%            Number of atoms       :  342 ( 116 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives : 1124 ( 158   ~; 141   |;  26   &; 793   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  22 usr;  16 con; 0-2 aty)
%            Number of variables   :   91 (   0   ^;  91   !;   0   ?;  91   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xN_type,type,
    xN: $i ).

thf(xq_type,type,
    xq: $i ).

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

thf(xR_type,type,
    xR: $i ).

thf(xS_type,type,
    xS: $i ).

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

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

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

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

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

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

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

thf(m__1930,axiom,
    ( ( xS
      = ( sdtasdt0 @ xF @ xD ) )
    & ( aScalar0 @ xS ) ) ).

thf(zip_derived_cl85,plain,
    ( xS
    = ( sdtasdt0 @ xF @ xD ) ),
    inference(cnf,[status(esa)],[m__1930]) ).

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_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl492,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xS @ X0 )
        = ( sdtasdt0 @ xF @ ( sdtasdt0 @ xD @ X0 ) ) )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ xF )
      | ~ ( aScalar0 @ xD ) ),
    inference('sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl24]) ).

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

thf(zip_derived_cl76,plain,
    aScalar0 @ xF,
    inference(cnf,[status(esa)],[m__1837]) ).

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

thf(zip_derived_cl72,plain,
    aScalar0 @ xD,
    inference(cnf,[status(esa)],[m__1800]) ).

thf(zip_derived_cl510,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xS @ X0 )
        = ( sdtasdt0 @ xF @ ( sdtasdt0 @ xD @ X0 ) ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl492,zip_derived_cl76,zip_derived_cl72]) ).

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_cl294,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl24_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl481,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) ) )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl294,zip_derived_cl24]) ).

thf(zip_derived_cl498,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl481]) ).

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(zip_derived_cl294_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl24_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl478,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) )
      | ~ ( aScalar0 @ ( sdtasdt0 @ X1 @ X0 ) )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl294,zip_derived_cl24]) ).

thf(zip_derived_cl495,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ ( sdtasdt0 @ X1 @ X0 ) )
      | ( ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl478]) ).

thf(zip_derived_cl12_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mMulSc]) ).

thf(zip_derived_cl17220,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl495,zip_derived_cl12]) ).

thf(zip_derived_cl12_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mMulSc]) ).

thf(zip_derived_cl24_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl17220_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl495,zip_derived_cl12]) ).

thf(m__,conjecture,
    ( xN
    = ( sdtasdt0 @ ( sdtasdt0 @ xH @ xH ) @ ( sdtasdt0 @ xC @ xD ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( xN
   != ( sdtasdt0 @ ( sdtasdt0 @ xH @ xH ) @ ( sdtasdt0 @ xC @ xD ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl91,plain,
    ( xN
   != ( sdtasdt0 @ ( sdtasdt0 @ xH @ xH ) @ ( sdtasdt0 @ xC @ xD ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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(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_cl24_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl488,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xH @ X0 )
        = ( sdtasdt0 @ xA @ ( sdtasdt0 @ xB @ X0 ) ) )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ xA )
      | ~ ( aScalar0 @ xB ) ),
    inference('sup+',[status(thm)],[zip_derived_cl79,zip_derived_cl24]) ).

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

thf(zip_derived_cl66,plain,
    aScalar0 @ xA,
    inference(cnf,[status(esa)],[m__1746]) ).

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

thf(zip_derived_cl68,plain,
    aScalar0 @ xB,
    inference(cnf,[status(esa)],[m__1766]) ).

thf(zip_derived_cl506,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xH @ X0 )
        = ( sdtasdt0 @ xA @ ( sdtasdt0 @ xB @ X0 ) ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl488,zip_derived_cl66,zip_derived_cl68]) ).

thf(zip_derived_cl19622,plain,
    ( ( ( sdtasdt0 @ xH @ xB )
      = ( sdtasdt0 @ xA @ xG ) )
    | ~ ( aScalar0 @ xB ) ),
    inference('sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl506]) ).

thf(zip_derived_cl68_009,plain,
    aScalar0 @ xB,
    inference(cnf,[status(esa)],[m__1766]) ).

thf(zip_derived_cl19634,plain,
    ( ( sdtasdt0 @ xH @ xB )
    = ( sdtasdt0 @ xA @ xG ) ),
    inference(demod,[status(thm)],[zip_derived_cl19622,zip_derived_cl68]) ).

thf(zip_derived_cl294_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl19885,plain,
    ( ( ( sdtasdt0 @ xB @ xH )
      = ( sdtasdt0 @ xA @ xG ) )
    | ~ ( aScalar0 @ xH )
    | ~ ( aScalar0 @ xB ) ),
    inference('sup+',[status(thm)],[zip_derived_cl19634,zip_derived_cl294]) ).

thf(zip_derived_cl80,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl68_011,plain,
    aScalar0 @ xB,
    inference(cnf,[status(esa)],[m__1766]) ).

thf(zip_derived_cl19907,plain,
    ( ( sdtasdt0 @ xB @ xH )
    = ( sdtasdt0 @ xA @ xG ) ),
    inference(demod,[status(thm)],[zip_derived_cl19885,zip_derived_cl80,zip_derived_cl68]) ).

thf(zip_derived_cl506_012,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xH @ X0 )
        = ( sdtasdt0 @ xA @ ( sdtasdt0 @ xB @ X0 ) ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl488,zip_derived_cl66,zip_derived_cl68]) ).

thf(zip_derived_cl20101,plain,
    ( ( ( sdtasdt0 @ xH @ xH )
      = ( sdtasdt0 @ xA @ ( sdtasdt0 @ xA @ xG ) ) )
    | ~ ( aScalar0 @ xH ) ),
    inference('sup+',[status(thm)],[zip_derived_cl19907,zip_derived_cl506]) ).

thf(zip_derived_cl80_013,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl20122,plain,
    ( ( sdtasdt0 @ xH @ xH )
    = ( sdtasdt0 @ xA @ ( sdtasdt0 @ xA @ xG ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl20101,zip_derived_cl80]) ).

thf(zip_derived_cl25183,plain,
    ( xN
   != ( sdtasdt0 @ ( sdtasdt0 @ xA @ ( sdtasdt0 @ xA @ xG ) ) @ ( sdtasdt0 @ xC @ xD ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl20122]) ).

thf(zip_derived_cl25457,plain,
    ( ( xN
     != ( sdtasdt0 @ ( sdtasdt0 @ xG @ ( sdtasdt0 @ xA @ xA ) ) @ ( sdtasdt0 @ xC @ xD ) ) )
    | ~ ( aScalar0 @ xA )
    | ~ ( aScalar0 @ xA )
    | ~ ( aScalar0 @ xG ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17220,zip_derived_cl25183]) ).

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

thf(zip_derived_cl66_014,plain,
    aScalar0 @ xA,
    inference(cnf,[status(esa)],[m__1746]) ).

thf(zip_derived_cl66_015,plain,
    aScalar0 @ xA,
    inference(cnf,[status(esa)],[m__1746]) ).

thf(zip_derived_cl78,plain,
    aScalar0 @ xG,
    inference(cnf,[status(esa)],[m__1854]) ).

thf(zip_derived_cl25467,plain,
    ( xN
   != ( sdtasdt0 @ ( sdtasdt0 @ xG @ xF ) @ ( sdtasdt0 @ xC @ xD ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl25457,zip_derived_cl75,zip_derived_cl66,zip_derived_cl66,zip_derived_cl78]) ).

thf(zip_derived_cl25474,plain,
    ( ( xN
     != ( sdtasdt0 @ xG @ ( sdtasdt0 @ xF @ ( sdtasdt0 @ xC @ xD ) ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xC @ xD ) )
    | ~ ( aScalar0 @ xG )
    | ~ ( aScalar0 @ xF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl25467]) ).

thf(zip_derived_cl78_016,plain,
    aScalar0 @ xG,
    inference(cnf,[status(esa)],[m__1854]) ).

thf(zip_derived_cl76_017,plain,
    aScalar0 @ xF,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl25480,plain,
    ( ( xN
     != ( sdtasdt0 @ xG @ ( sdtasdt0 @ xF @ ( sdtasdt0 @ xC @ xD ) ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xC @ xD ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl25474,zip_derived_cl78,zip_derived_cl76]) ).

thf(zip_derived_cl25957,plain,
    ( ~ ( aScalar0 @ xD )
    | ~ ( aScalar0 @ xC )
    | ( xN
     != ( sdtasdt0 @ xG @ ( sdtasdt0 @ xF @ ( sdtasdt0 @ xC @ xD ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl25480]) ).

thf(zip_derived_cl72_018,plain,
    aScalar0 @ xD,
    inference(cnf,[status(esa)],[m__1800]) ).

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

thf(zip_derived_cl70,plain,
    aScalar0 @ xC,
    inference(cnf,[status(esa)],[m__1783]) ).

thf(zip_derived_cl25960,plain,
    ( xN
   != ( sdtasdt0 @ xG @ ( sdtasdt0 @ xF @ ( sdtasdt0 @ xC @ xD ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl25957,zip_derived_cl72,zip_derived_cl70]) ).

thf(zip_derived_cl25963,plain,
    ( ( xN
     != ( sdtasdt0 @ xF @ ( sdtasdt0 @ ( sdtasdt0 @ xC @ xD ) @ xG ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xC @ xD ) )
    | ~ ( aScalar0 @ xF )
    | ~ ( aScalar0 @ xG ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17220,zip_derived_cl25960]) ).

thf(zip_derived_cl76_019,plain,
    aScalar0 @ xF,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl78_020,plain,
    aScalar0 @ xG,
    inference(cnf,[status(esa)],[m__1854]) ).

thf(zip_derived_cl25964,plain,
    ( ( xN
     != ( sdtasdt0 @ xF @ ( sdtasdt0 @ ( sdtasdt0 @ xC @ xD ) @ xG ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xC @ xD ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl25963,zip_derived_cl76,zip_derived_cl78]) ).

thf(zip_derived_cl26523,plain,
    ( ~ ( aScalar0 @ xD )
    | ~ ( aScalar0 @ xC )
    | ( xN
     != ( sdtasdt0 @ xF @ ( sdtasdt0 @ ( sdtasdt0 @ xC @ xD ) @ xG ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl25964]) ).

thf(zip_derived_cl72_021,plain,
    aScalar0 @ xD,
    inference(cnf,[status(esa)],[m__1800]) ).

thf(zip_derived_cl70_022,plain,
    aScalar0 @ xC,
    inference(cnf,[status(esa)],[m__1783]) ).

thf(zip_derived_cl26526,plain,
    ( xN
   != ( sdtasdt0 @ xF @ ( sdtasdt0 @ ( sdtasdt0 @ xC @ xD ) @ xG ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl26523,zip_derived_cl72,zip_derived_cl70]) ).

thf(zip_derived_cl26532,plain,
    ( ( xN
     != ( sdtasdt0 @ xF @ ( sdtasdt0 @ xD @ ( sdtasdt0 @ xC @ xG ) ) ) )
    | ~ ( aScalar0 @ xD )
    | ~ ( aScalar0 @ xC )
    | ~ ( aScalar0 @ xG ) ),
    inference('sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl26526]) ).

thf(m__1892,axiom,
    ( ( xR
      = ( sdtasdt0 @ xC @ xG ) )
    & ( aScalar0 @ xR ) ) ).

thf(zip_derived_cl81,plain,
    ( xR
    = ( sdtasdt0 @ xC @ xG ) ),
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl72_023,plain,
    aScalar0 @ xD,
    inference(cnf,[status(esa)],[m__1800]) ).

thf(zip_derived_cl70_024,plain,
    aScalar0 @ xC,
    inference(cnf,[status(esa)],[m__1783]) ).

thf(zip_derived_cl78_025,plain,
    aScalar0 @ xG,
    inference(cnf,[status(esa)],[m__1854]) ).

thf(zip_derived_cl26536,plain,
    ( xN
   != ( sdtasdt0 @ xF @ ( sdtasdt0 @ xD @ xR ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl26532,zip_derived_cl81,zip_derived_cl72,zip_derived_cl70,zip_derived_cl78]) ).

thf(zip_derived_cl27203,plain,
    ( ( xN
     != ( sdtasdt0 @ xS @ xR ) )
    | ~ ( aScalar0 @ xR ) ),
    inference('sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl26536]) ).

thf(m__1949,axiom,
    ( ( xN
      = ( sdtasdt0 @ xR @ xS ) )
    & ( aScalar0 @ xN ) ) ).

thf(zip_derived_cl87,plain,
    ( xN
    = ( sdtasdt0 @ xR @ xS ) ),
    inference(cnf,[status(esa)],[m__1949]) ).

thf(mMNeg,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aScalar0 @ W0 )
        & ( aScalar0 @ W1 ) )
     => ( ( ( sdtasdt0 @ W0 @ ( smndt0 @ W1 ) )
          = ( smndt0 @ ( sdtasdt0 @ W0 @ W1 ) ) )
        & ( ( sdtasdt0 @ ( smndt0 @ W0 ) @ W1 )
          = ( smndt0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
        = ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[mMNeg]) ).

thf(zip_derived_cl877,plain,
    ( ( ( sdtasdt0 @ ( smndt0 @ xR ) @ xS )
      = ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ xS )
    | ~ ( aScalar0 @ xR ) ),
    inference('sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl29]) ).

thf(zip_derived_cl86,plain,
    aScalar0 @ xS,
    inference(cnf,[status(esa)],[m__1930]) ).

thf(zip_derived_cl82,plain,
    aScalar0 @ xR,
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl892,plain,
    ( ( sdtasdt0 @ ( smndt0 @ xR ) @ xS )
    = ( smndt0 @ xN ) ),
    inference(demod,[status(thm)],[zip_derived_cl877,zip_derived_cl86,zip_derived_cl82]) ).

thf(zip_derived_cl294_026,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl1545,plain,
    ( ( ( sdtasdt0 @ xS @ ( smndt0 @ xR ) )
      = ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( smndt0 @ xR ) )
    | ~ ( aScalar0 @ xS ) ),
    inference('sup+',[status(thm)],[zip_derived_cl892,zip_derived_cl294]) ).

thf(mNegSc,axiom,
    ! [W0: $i] :
      ( ( aScalar0 @ W0 )
     => ( aScalar0 @ ( smndt0 @ W0 ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( aScalar0 @ ( smndt0 @ X0 ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference(cnf,[status(esa)],[mNegSc]) ).

thf(zip_derived_cl81_027,plain,
    ( xR
    = ( sdtasdt0 @ xC @ xG ) ),
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl29_028,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
        = ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[mMNeg]) ).

thf(zip_derived_cl873,plain,
    ( ( ( sdtasdt0 @ ( smndt0 @ xC ) @ xG )
      = ( smndt0 @ xR ) )
    | ~ ( aScalar0 @ xG )
    | ~ ( aScalar0 @ xC ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl29]) ).

thf(zip_derived_cl78_029,plain,
    aScalar0 @ xG,
    inference(cnf,[status(esa)],[m__1854]) ).

thf(zip_derived_cl70_030,plain,
    aScalar0 @ xC,
    inference(cnf,[status(esa)],[m__1783]) ).

thf(zip_derived_cl888,plain,
    ( ( sdtasdt0 @ ( smndt0 @ xC ) @ xG )
    = ( smndt0 @ xR ) ),
    inference(demod,[status(thm)],[zip_derived_cl873,zip_derived_cl78,zip_derived_cl70]) ).

thf(zip_derived_cl12_031,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mMulSc]) ).

thf(zip_derived_cl1346,plain,
    ( ( aScalar0 @ ( smndt0 @ xR ) )
    | ~ ( aScalar0 @ xG )
    | ~ ( aScalar0 @ ( smndt0 @ xC ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl888,zip_derived_cl12]) ).

thf(zip_derived_cl78_032,plain,
    aScalar0 @ xG,
    inference(cnf,[status(esa)],[m__1854]) ).

thf(zip_derived_cl1360,plain,
    ( ( aScalar0 @ ( smndt0 @ xR ) )
    | ~ ( aScalar0 @ ( smndt0 @ xC ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1346,zip_derived_cl78]) ).

thf(zip_derived_cl1436,plain,
    ( ~ ( aScalar0 @ xC )
    | ( aScalar0 @ ( smndt0 @ xR ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1360]) ).

thf(zip_derived_cl70_033,plain,
    aScalar0 @ xC,
    inference(cnf,[status(esa)],[m__1783]) ).

thf(zip_derived_cl1437,plain,
    aScalar0 @ ( smndt0 @ xR ),
    inference(demod,[status(thm)],[zip_derived_cl1436,zip_derived_cl70]) ).

thf(zip_derived_cl86_034,plain,
    aScalar0 @ xS,
    inference(cnf,[status(esa)],[m__1930]) ).

thf(zip_derived_cl1559,plain,
    ( ( sdtasdt0 @ xS @ ( smndt0 @ xR ) )
    = ( smndt0 @ xN ) ),
    inference(demod,[status(thm)],[zip_derived_cl1545,zip_derived_cl1437,zip_derived_cl86]) ).

thf(zip_derived_cl29_035,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
        = ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[mMNeg]) ).

thf(zip_derived_cl1991,plain,
    ( ( ( sdtasdt0 @ ( smndt0 @ xS ) @ ( smndt0 @ xR ) )
      = ( smndt0 @ ( smndt0 @ xN ) ) )
    | ~ ( aScalar0 @ ( smndt0 @ xR ) )
    | ~ ( aScalar0 @ xS ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1559,zip_derived_cl29]) ).

thf(zip_derived_cl1437_036,plain,
    aScalar0 @ ( smndt0 @ xR ),
    inference(demod,[status(thm)],[zip_derived_cl1436,zip_derived_cl70]) ).

thf(zip_derived_cl86_037,plain,
    aScalar0 @ xS,
    inference(cnf,[status(esa)],[m__1930]) ).

thf(zip_derived_cl2003,plain,
    ( ( sdtasdt0 @ ( smndt0 @ xS ) @ ( smndt0 @ xR ) )
    = ( smndt0 @ ( smndt0 @ xN ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1991,zip_derived_cl1437,zip_derived_cl86]) ).

thf(zip_derived_cl892_038,plain,
    ( ( sdtasdt0 @ ( smndt0 @ xR ) @ xS )
    = ( smndt0 @ xN ) ),
    inference(demod,[status(thm)],[zip_derived_cl877,zip_derived_cl86,zip_derived_cl82]) ).

thf(zip_derived_cl29_039,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
        = ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[mMNeg]) ).

thf(zip_derived_cl1543,plain,
    ( ( ( sdtasdt0 @ ( smndt0 @ ( smndt0 @ xR ) ) @ xS )
      = ( smndt0 @ ( smndt0 @ xN ) ) )
    | ~ ( aScalar0 @ xS )
    | ~ ( aScalar0 @ ( smndt0 @ xR ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl892,zip_derived_cl29]) ).

thf(zip_derived_cl86_040,plain,
    aScalar0 @ xS,
    inference(cnf,[status(esa)],[m__1930]) ).

thf(zip_derived_cl1437_041,plain,
    aScalar0 @ ( smndt0 @ xR ),
    inference(demod,[status(thm)],[zip_derived_cl1436,zip_derived_cl70]) ).

thf(zip_derived_cl1557,plain,
    ( ( sdtasdt0 @ ( smndt0 @ ( smndt0 @ xR ) ) @ xS )
    = ( smndt0 @ ( smndt0 @ xN ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1543,zip_derived_cl86,zip_derived_cl1437]) ).

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_cl20,plain,
    ! [X0: $i] :
      ( ( ( smndt0 @ ( smndt0 @ X0 ) )
        = X0 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(cnf,[status(esa)],[mScZero]) ).

thf(zip_derived_cl294_042,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl81_043,plain,
    ( xR
    = ( sdtasdt0 @ xC @ xG ) ),
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl303,plain,
    ( ( xR
      = ( sdtasdt0 @ xG @ xC ) )
    | ~ ( aScalar0 @ xC )
    | ~ ( aScalar0 @ xG ) ),
    inference('sup+',[status(thm)],[zip_derived_cl294,zip_derived_cl81]) ).

thf(zip_derived_cl70_044,plain,
    aScalar0 @ xC,
    inference(cnf,[status(esa)],[m__1783]) ).

thf(zip_derived_cl78_045,plain,
    aScalar0 @ xG,
    inference(cnf,[status(esa)],[m__1854]) ).

thf(zip_derived_cl329,plain,
    ( xR
    = ( sdtasdt0 @ xG @ xC ) ),
    inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl70,zip_derived_cl78]) ).

thf(zip_derived_cl29_046,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
        = ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[mMNeg]) ).

thf(zip_derived_cl876,plain,
    ( ( ( sdtasdt0 @ ( smndt0 @ xG ) @ xC )
      = ( smndt0 @ xR ) )
    | ~ ( aScalar0 @ xC )
    | ~ ( aScalar0 @ xG ) ),
    inference('sup+',[status(thm)],[zip_derived_cl329,zip_derived_cl29]) ).

thf(zip_derived_cl70_047,plain,
    aScalar0 @ xC,
    inference(cnf,[status(esa)],[m__1783]) ).

thf(zip_derived_cl78_048,plain,
    aScalar0 @ xG,
    inference(cnf,[status(esa)],[m__1854]) ).

thf(zip_derived_cl891,plain,
    ( ( sdtasdt0 @ ( smndt0 @ xG ) @ xC )
    = ( smndt0 @ xR ) ),
    inference(demod,[status(thm)],[zip_derived_cl876,zip_derived_cl70,zip_derived_cl78]) ).

thf(zip_derived_cl29_049,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
        = ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[mMNeg]) ).

thf(zip_derived_cl1519,plain,
    ( ( ( sdtasdt0 @ ( smndt0 @ ( smndt0 @ xG ) ) @ xC )
      = ( smndt0 @ ( smndt0 @ xR ) ) )
    | ~ ( aScalar0 @ xC )
    | ~ ( aScalar0 @ ( smndt0 @ xG ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl891,zip_derived_cl29]) ).

thf(zip_derived_cl70_050,plain,
    aScalar0 @ xC,
    inference(cnf,[status(esa)],[m__1783]) ).

thf(zip_derived_cl13_051,plain,
    ! [X0: $i] :
      ( ( aScalar0 @ ( smndt0 @ X0 ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference(cnf,[status(esa)],[mNegSc]) ).

thf(zip_derived_cl77_052,plain,
    ( xG
    = ( sdtasdt0 @ xB @ xB ) ),
    inference(cnf,[status(esa)],[m__1854]) ).

thf(zip_derived_cl29_053,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
        = ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[mMNeg]) ).

thf(zip_derived_cl872,plain,
    ( ( ( sdtasdt0 @ ( smndt0 @ xB ) @ xB )
      = ( smndt0 @ xG ) )
    | ~ ( aScalar0 @ xB )
    | ~ ( aScalar0 @ xB ) ),
    inference('sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl29]) ).

thf(zip_derived_cl68_054,plain,
    aScalar0 @ xB,
    inference(cnf,[status(esa)],[m__1766]) ).

thf(zip_derived_cl68_055,plain,
    aScalar0 @ xB,
    inference(cnf,[status(esa)],[m__1766]) ).

thf(zip_derived_cl887,plain,
    ( ( sdtasdt0 @ ( smndt0 @ xB ) @ xB )
    = ( smndt0 @ xG ) ),
    inference(demod,[status(thm)],[zip_derived_cl872,zip_derived_cl68,zip_derived_cl68]) ).

thf(zip_derived_cl12_056,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mMulSc]) ).

thf(zip_derived_cl1287,plain,
    ( ( aScalar0 @ ( smndt0 @ xG ) )
    | ~ ( aScalar0 @ xB )
    | ~ ( aScalar0 @ ( smndt0 @ xB ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl887,zip_derived_cl12]) ).

thf(zip_derived_cl68_057,plain,
    aScalar0 @ xB,
    inference(cnf,[status(esa)],[m__1766]) ).

thf(zip_derived_cl1301,plain,
    ( ( aScalar0 @ ( smndt0 @ xG ) )
    | ~ ( aScalar0 @ ( smndt0 @ xB ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1287,zip_derived_cl68]) ).

thf(zip_derived_cl1336,plain,
    ( ~ ( aScalar0 @ xB )
    | ( aScalar0 @ ( smndt0 @ xG ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1301]) ).

thf(zip_derived_cl68_058,plain,
    aScalar0 @ xB,
    inference(cnf,[status(esa)],[m__1766]) ).

thf(zip_derived_cl1337,plain,
    aScalar0 @ ( smndt0 @ xG ),
    inference(demod,[status(thm)],[zip_derived_cl1336,zip_derived_cl68]) ).

thf(zip_derived_cl1531,plain,
    ( ( sdtasdt0 @ ( smndt0 @ ( smndt0 @ xG ) ) @ xC )
    = ( smndt0 @ ( smndt0 @ xR ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1519,zip_derived_cl70,zip_derived_cl1337]) ).

thf(zip_derived_cl2749,plain,
    ( ( ( sdtasdt0 @ xG @ xC )
      = ( smndt0 @ ( smndt0 @ xR ) ) )
    | ~ ( aScalar0 @ xG ) ),
    inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl1531]) ).

thf(zip_derived_cl329_059,plain,
    ( xR
    = ( sdtasdt0 @ xG @ xC ) ),
    inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl70,zip_derived_cl78]) ).

thf(zip_derived_cl78_060,plain,
    aScalar0 @ xG,
    inference(cnf,[status(esa)],[m__1854]) ).

thf(zip_derived_cl2750,plain,
    ( xR
    = ( smndt0 @ ( smndt0 @ xR ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2749,zip_derived_cl329,zip_derived_cl78]) ).

thf(zip_derived_cl87_061,plain,
    ( xN
    = ( sdtasdt0 @ xR @ xS ) ),
    inference(cnf,[status(esa)],[m__1949]) ).

thf(zip_derived_cl3644,plain,
    ( xN
    = ( smndt0 @ ( smndt0 @ xN ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1557,zip_derived_cl2750,zip_derived_cl87]) ).

thf(zip_derived_cl5812,plain,
    ( ( sdtasdt0 @ ( smndt0 @ xS ) @ ( smndt0 @ xR ) )
    = xN ),
    inference(demod,[status(thm)],[zip_derived_cl2003,zip_derived_cl3644]) ).

thf(mMDNeg,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aScalar0 @ W0 )
        & ( aScalar0 @ W1 ) )
     => ( ( sdtasdt0 @ ( smndt0 @ W0 ) @ ( smndt0 @ W1 ) )
        = ( sdtasdt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ ( smndt0 @ X1 ) )
        = ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mMDNeg]) ).

thf(zip_derived_cl5827,plain,
    ( ( xN
      = ( sdtasdt0 @ xS @ xR ) )
    | ~ ( aScalar0 @ xR )
    | ~ ( aScalar0 @ xS ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5812,zip_derived_cl31]) ).

thf(zip_derived_cl82_062,plain,
    aScalar0 @ xR,
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl86_063,plain,
    aScalar0 @ xS,
    inference(cnf,[status(esa)],[m__1930]) ).

thf(zip_derived_cl5842,plain,
    ( xN
    = ( sdtasdt0 @ xS @ xR ) ),
    inference(demod,[status(thm)],[zip_derived_cl5827,zip_derived_cl82,zip_derived_cl86]) ).

thf(zip_derived_cl82_064,plain,
    aScalar0 @ xR,
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl27206,plain,
    xN != xN,
    inference(demod,[status(thm)],[zip_derived_cl27203,zip_derived_cl5842,zip_derived_cl82]) ).

thf(zip_derived_cl27207,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl27206]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : RNG056+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6r5gD9PBtA true
% 0.17/0.37  % Computer : n013.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit : 300
% 0.17/0.37  % WCLimit  : 300
% 0.17/0.37  % DateTime : Sun Aug 27 02:01:02 EDT 2023
% 0.17/0.37  % CPUTime  : 
% 0.17/0.37  % Running portfolio for 300 s
% 0.17/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.38  % Number of cores: 8
% 0.23/0.38  % Python version: Python 3.6.8
% 0.23/0.38  % Running in FO mode
% 0.24/0.67  % Total configuration time : 435
% 0.24/0.67  % Estimated wc time : 1092
% 0.24/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.98/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.98/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.98/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.98/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.98/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.98/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.98/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 19.89/3.53  % Solved by fo/fo5.sh.
% 19.89/3.53  % done 2729 iterations in 2.695s
% 19.89/3.53  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 19.89/3.53  % SZS output start Refutation
% See solution above
% 19.89/3.54  
% 19.89/3.54  
% 19.89/3.54  % Terminating...
% 20.79/3.68  % Runner terminated.
% 20.79/3.69  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------