TSTP Solution File: RNG056+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG056+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.pPKzxN4G7S 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 14:06:34 EDT 2023

% Result   : Theorem 1.34s 1.43s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  104 (  40 unt;  20 typ;   0 def)
%            Number of atoms       :  180 (  63 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  613 (  89   ~;  78   |;  16   &; 428   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;  15 con; 0-2 aty)
%            Number of variables   :   55 (   0   ^;  55   !;   0   ?;  55   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xH_type,type,
    xH: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(xN_type,type,
    xN: $i ).

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

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

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

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

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

thf(zip_derived_cl85,plain,
    ( xR
    = ( sdtasdt0 @ xC @ xG ) ),
    inference(cnf,[status(esa)],[m__1892]) ).

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_cl598,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,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_cl600,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl598,zip_derived_cl24]) ).

thf(zip_derived_cl630,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) ) )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl600]) ).

thf(zip_derived_cl1808,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xR @ X0 )
        = ( sdtasdt0 @ xG @ ( sdtasdt0 @ xC @ X0 ) ) )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ xC )
      | ~ ( aScalar0 @ xG ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl630]) ).

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

thf(zip_derived_cl74,plain,
    aScalar0 @ xC,
    inference(cnf,[status(esa)],[m__1783]) ).

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

thf(zip_derived_cl82,plain,
    aScalar0 @ xG,
    inference(cnf,[status(esa)],[m__1854]) ).

thf(zip_derived_cl1834,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xR @ X0 )
        = ( sdtasdt0 @ xG @ ( sdtasdt0 @ xC @ X0 ) ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1808,zip_derived_cl74,zip_derived_cl82]) ).

thf(zip_derived_cl630_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) ) )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl600]) ).

thf(zip_derived_cl24_002,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_cl1786,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 )
      | ( ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X2 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl630,zip_derived_cl24]) ).

thf(zip_derived_cl1862,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X2 @ X0 ) ) )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1786]) ).

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_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(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_cl95,plain,
    ( xN
   != ( sdtasdt0 @ ( sdtasdt0 @ xH @ xH ) @ ( sdtasdt0 @ xC @ xD ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl83,plain,
    ( xH
    = ( sdtasdt0 @ xA @ xB ) ),
    inference(cnf,[status(esa)],[m__1873]) ).

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

thf(zip_derived_cl79,plain,
    ( xF
    = ( sdtasdt0 @ xA @ xA ) ),
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl630_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) ) )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl600]) ).

thf(zip_derived_cl1804,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xF @ X0 )
        = ( sdtasdt0 @ xA @ ( sdtasdt0 @ xA @ X0 ) ) )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ xA )
      | ~ ( aScalar0 @ xA ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl79,zip_derived_cl630]) ).

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

thf(zip_derived_cl70,plain,
    aScalar0 @ xA,
    inference(cnf,[status(esa)],[m__1746]) ).

thf(zip_derived_cl70_005,plain,
    aScalar0 @ xA,
    inference(cnf,[status(esa)],[m__1746]) ).

thf(zip_derived_cl1830,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xF @ X0 )
        = ( sdtasdt0 @ xA @ ( sdtasdt0 @ xA @ X0 ) ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1804,zip_derived_cl70,zip_derived_cl70]) ).

thf(zip_derived_cl3092,plain,
    ( ( ( sdtasdt0 @ xF @ xB )
      = ( sdtasdt0 @ xA @ xH ) )
    | ~ ( aScalar0 @ xB ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl1830]) ).

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

thf(zip_derived_cl72,plain,
    aScalar0 @ xB,
    inference(cnf,[status(esa)],[m__1766]) ).

thf(zip_derived_cl3105,plain,
    ( ( sdtasdt0 @ xF @ xB )
    = ( sdtasdt0 @ xA @ xH ) ),
    inference(demod,[status(thm)],[zip_derived_cl3092,zip_derived_cl72]) ).

thf(zip_derived_cl598_006,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_cl3207,plain,
    ( ( ( sdtasdt0 @ xB @ xF )
      = ( sdtasdt0 @ xA @ xH ) )
    | ~ ( aScalar0 @ xB )
    | ~ ( aScalar0 @ xF ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3105,zip_derived_cl598]) ).

thf(zip_derived_cl72_007,plain,
    aScalar0 @ xB,
    inference(cnf,[status(esa)],[m__1766]) ).

thf(zip_derived_cl80,plain,
    aScalar0 @ xF,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl3227,plain,
    ( ( sdtasdt0 @ xB @ xF )
    = ( sdtasdt0 @ xA @ xH ) ),
    inference(demod,[status(thm)],[zip_derived_cl3207,zip_derived_cl72,zip_derived_cl80]) ).

thf(zip_derived_cl81,plain,
    ( xG
    = ( sdtasdt0 @ xB @ xB ) ),
    inference(cnf,[status(esa)],[m__1854]) ).

thf(zip_derived_cl630_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) ) )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl600]) ).

thf(zip_derived_cl1806,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xG @ X0 )
        = ( sdtasdt0 @ xB @ ( sdtasdt0 @ xB @ X0 ) ) )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ xB )
      | ~ ( aScalar0 @ xB ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl630]) ).

thf(zip_derived_cl72_009,plain,
    aScalar0 @ xB,
    inference(cnf,[status(esa)],[m__1766]) ).

thf(zip_derived_cl72_010,plain,
    aScalar0 @ xB,
    inference(cnf,[status(esa)],[m__1766]) ).

thf(zip_derived_cl1832,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xG @ X0 )
        = ( sdtasdt0 @ xB @ ( sdtasdt0 @ xB @ X0 ) ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1806,zip_derived_cl72,zip_derived_cl72]) ).

thf(zip_derived_cl4621,plain,
    ( ( ( sdtasdt0 @ xG @ xF )
      = ( sdtasdt0 @ xB @ ( sdtasdt0 @ xA @ xH ) ) )
    | ~ ( aScalar0 @ xF ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3227,zip_derived_cl1832]) ).

thf(zip_derived_cl80_011,plain,
    aScalar0 @ xF,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl4635,plain,
    ( ( sdtasdt0 @ xG @ xF )
    = ( sdtasdt0 @ xB @ ( sdtasdt0 @ xA @ xH ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4621,zip_derived_cl80]) ).

thf(zip_derived_cl83_012,plain,
    ( xH
    = ( sdtasdt0 @ xA @ xB ) ),
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl630_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) ) )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl600]) ).

thf(zip_derived_cl1805,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xH @ X0 )
        = ( sdtasdt0 @ xB @ ( sdtasdt0 @ xA @ X0 ) ) )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ xA )
      | ~ ( aScalar0 @ xB ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl630]) ).

thf(zip_derived_cl70_014,plain,
    aScalar0 @ xA,
    inference(cnf,[status(esa)],[m__1746]) ).

thf(zip_derived_cl72_015,plain,
    aScalar0 @ xB,
    inference(cnf,[status(esa)],[m__1766]) ).

thf(zip_derived_cl1831,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xH @ X0 )
        = ( sdtasdt0 @ xB @ ( sdtasdt0 @ xA @ X0 ) ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1805,zip_derived_cl70,zip_derived_cl72]) ).

thf(zip_derived_cl5592,plain,
    ( ( ( sdtasdt0 @ xH @ xH )
      = ( sdtasdt0 @ xG @ xF ) )
    | ~ ( aScalar0 @ xH ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4635,zip_derived_cl1831]) ).

thf(zip_derived_cl84,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl5614,plain,
    ( ( sdtasdt0 @ xH @ xH )
    = ( sdtasdt0 @ xG @ xF ) ),
    inference(demod,[status(thm)],[zip_derived_cl5592,zip_derived_cl84]) ).

thf(zip_derived_cl5626,plain,
    ( xN
   != ( sdtasdt0 @ ( sdtasdt0 @ xG @ xF ) @ ( sdtasdt0 @ xC @ xD ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl5614]) ).

thf(zip_derived_cl5682,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xC @ xD ) )
    | ~ ( aScalar0 @ xG )
    | ~ ( aScalar0 @ xF )
    | ( xN
     != ( sdtasdt0 @ xG @ ( sdtasdt0 @ xF @ ( sdtasdt0 @ xC @ xD ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl5626]) ).

thf(zip_derived_cl82_016,plain,
    aScalar0 @ xG,
    inference(cnf,[status(esa)],[m__1854]) ).

thf(zip_derived_cl80_017,plain,
    aScalar0 @ xF,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl5690,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xC @ xD ) )
    | ( xN
     != ( sdtasdt0 @ xG @ ( sdtasdt0 @ xF @ ( sdtasdt0 @ xC @ xD ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5682,zip_derived_cl82,zip_derived_cl80]) ).

thf(zip_derived_cl5744,plain,
    ( ~ ( aScalar0 @ xD )
    | ~ ( aScalar0 @ xC )
    | ( xN
     != ( sdtasdt0 @ xG @ ( sdtasdt0 @ xF @ ( sdtasdt0 @ xC @ xD ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl5690]) ).

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

thf(zip_derived_cl76,plain,
    aScalar0 @ xD,
    inference(cnf,[status(esa)],[m__1800]) ).

thf(zip_derived_cl74_018,plain,
    aScalar0 @ xC,
    inference(cnf,[status(esa)],[m__1783]) ).

thf(zip_derived_cl5745,plain,
    ( xN
   != ( sdtasdt0 @ xG @ ( sdtasdt0 @ xF @ ( sdtasdt0 @ xC @ xD ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5744,zip_derived_cl76,zip_derived_cl74]) ).

thf(zip_derived_cl5876,plain,
    ( ~ ( aScalar0 @ xF )
    | ~ ( aScalar0 @ xC )
    | ~ ( aScalar0 @ xD )
    | ( xN
     != ( sdtasdt0 @ xG @ ( sdtasdt0 @ xC @ ( sdtasdt0 @ xF @ xD ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1862,zip_derived_cl5745]) ).

thf(zip_derived_cl80_019,plain,
    aScalar0 @ xF,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl74_020,plain,
    aScalar0 @ xC,
    inference(cnf,[status(esa)],[m__1783]) ).

thf(zip_derived_cl76_021,plain,
    aScalar0 @ xD,
    inference(cnf,[status(esa)],[m__1800]) ).

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

thf(zip_derived_cl89,plain,
    ( xS
    = ( sdtasdt0 @ xF @ xD ) ),
    inference(cnf,[status(esa)],[m__1930]) ).

thf(zip_derived_cl5881,plain,
    ( xN
   != ( sdtasdt0 @ xG @ ( sdtasdt0 @ xC @ xS ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5876,zip_derived_cl80,zip_derived_cl74,zip_derived_cl76,zip_derived_cl89]) ).

thf(zip_derived_cl5886,plain,
    ( ~ ( aScalar0 @ xS )
    | ( xN
     != ( sdtasdt0 @ xR @ xS ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1834,zip_derived_cl5881]) ).

thf(zip_derived_cl90,plain,
    aScalar0 @ xS,
    inference(cnf,[status(esa)],[m__1930]) ).

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

thf(zip_derived_cl91,plain,
    ( xN
    = ( sdtasdt0 @ xR @ xS ) ),
    inference(cnf,[status(esa)],[m__1949]) ).

thf(zip_derived_cl5889,plain,
    xN != xN,
    inference(demod,[status(thm)],[zip_derived_cl5886,zip_derived_cl90,zip_derived_cl91]) ).

thf(zip_derived_cl5890,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl5889]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG056+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pPKzxN4G7S true
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 01:27:38 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
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.66/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.66/0.83  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.34/1.43  % Solved by fo/fo6_bce.sh.
% 1.34/1.43  % BCE start: 96
% 1.34/1.43  % BCE eliminated: 0
% 1.34/1.43  % PE start: 96
% 1.34/1.43  logic: eq
% 1.34/1.43  % PE eliminated: 1
% 1.34/1.43  % done 474 iterations in 0.696s
% 1.34/1.43  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/1.43  % SZS output start Refutation
% See solution above
% 1.34/1.43  
% 1.34/1.43  
% 1.34/1.43  % Terminating...
% 5.67/1.51  % Runner terminated.
% 5.67/1.52  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------