TSTP Solution File: RNG062+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG062+2 : 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.aYaK5CByGZ true

% Computer : n006.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 14:06:37 EDT 2023

% Result   : Theorem 1.31s 1.06s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   60 (  14 unt;  11 typ;   0 def)
%            Number of atoms       :  149 (  31 equ;   0 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  909 ( 107   ~;  86   |;  10   &; 702   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   36 (   0   ^;  36   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xG_type,type,
    xG: $i ).

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

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

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

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

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

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

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

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

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

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

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(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_cl12_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mMulSc]) ).

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_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtpldt0 @ X1 @ X0 )
        = ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl606,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ X1 @ X0 )
        = ( sdtpldt0 @ X0 @ X1 ) )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl22_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl606_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ X1 @ X0 )
        = ( sdtpldt0 @ X0 @ X1 ) )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl22_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl22_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(m__,conjecture,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
    = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) @ ( smndt0 @ xN ) ) @ ( smndt0 @ xN ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
   != ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) @ ( smndt0 @ xN ) ) @ ( smndt0 @ xN ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl100,plain,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
   != ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) @ ( smndt0 @ xN ) ) @ ( smndt0 @ xN ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__2180,axiom,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
    = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) ).

thf(zip_derived_cl98,plain,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
    = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
    inference(cnf,[status(esa)],[m__2180]) ).

thf(zip_derived_cl424,plain,
    ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
   != ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) @ ( smndt0 @ xN ) ) @ ( smndt0 @ xN ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl98]) ).

thf(zip_derived_cl559,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
     != ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( smndt0 @ xN ) ) ) @ ( smndt0 @ xN ) ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl424]) ).

thf(zip_derived_cl1506,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( smndt0 @ xN ) ) @ ( smndt0 @ xN ) ) ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( smndt0 @ xN ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl559]) ).

thf(zip_derived_cl1515,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( smndt0 @ xN ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( smndt0 @ xN ) ) @ ( smndt0 @ xN ) ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1506]) ).

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

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSumSc]) ).

thf(zip_derived_cl1707,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( smndt0 @ xN ) ) @ ( smndt0 @ xN ) ) ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1515,zip_derived_cl11]) ).

thf(zip_derived_cl1711,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) @ ( smndt0 @ xN ) ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl1707]) ).

thf(zip_derived_cl1720,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) @ ( smndt0 @ xN ) ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1711]) ).

thf(zip_derived_cl1825,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( smndt0 @ xN ) ) ) ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl1720]) ).

thf(zip_derived_cl1832,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( smndt0 @ xN ) ) ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1825]) ).

thf(zip_derived_cl1930,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl1832]) ).

thf(zip_derived_cl1936,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1930]) ).

thf(zip_derived_cl2013,plain,
    ( ( ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl1936]) ).

thf(zip_derived_cl2020,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2013]) ).

thf(zip_derived_cl11_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSumSc]) ).

thf(zip_derived_cl2027,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2020,zip_derived_cl11]) ).

thf(zip_derived_cl2030,plain,
    ( ~ ( aScalar0 @ xS )
    | ~ ( aScalar0 @ xS )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2027]) ).

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

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

thf(zip_derived_cl90_007,plain,
    aScalar0 @ xS,
    inference(cnf,[status(esa)],[m__1930]) ).

thf(zip_derived_cl2034,plain,
    ( ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2030,zip_derived_cl90,zip_derived_cl90]) ).

thf(zip_derived_cl2039,plain,
    ( ~ ( aScalar0 @ xR )
    | ~ ( aScalar0 @ xR )
    | ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2034]) ).

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

thf(zip_derived_cl86,plain,
    aScalar0 @ xR,
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl86_008,plain,
    aScalar0 @ xR,
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl2042,plain,
    ~ ( aScalar0 @ ( smndt0 @ xN ) ),
    inference(demod,[status(thm)],[zip_derived_cl2039,zip_derived_cl86,zip_derived_cl86]) ).

thf(zip_derived_cl2048,plain,
    ~ ( aScalar0 @ xN ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl2042]) ).

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

thf(zip_derived_cl92,plain,
    aScalar0 @ xN,
    inference(cnf,[status(esa)],[m__1949]) ).

thf(zip_derived_cl2050,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2048,zip_derived_cl92]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG062+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aYaK5CByGZ true
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 01:47:38 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.21/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.16/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.16/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.31/1.06  % Solved by fo/fo3_bce.sh.
% 1.31/1.06  % BCE start: 101
% 1.31/1.06  % BCE eliminated: 0
% 1.31/1.06  % PE start: 101
% 1.31/1.06  logic: eq
% 1.31/1.06  % PE eliminated: 1
% 1.31/1.06  % done 309 iterations in 0.277s
% 1.31/1.06  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/1.06  % SZS output start Refutation
% See solution above
% 1.31/1.06  
% 1.31/1.06  
% 1.31/1.06  % Terminating...
% 1.71/1.16  % Runner terminated.
% 1.71/1.17  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------