TSTP Solution File: NUM524+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM524+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.tCblFxP3je true

% Computer : n010.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 12:42:06 EDT 2023

% Result   : Theorem 5.98s 1.48s
% Output   : Refutation 5.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   87 (  39 unt;   9 typ;   0 def)
%            Number of atoms       :  189 (  81 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  566 (  89   ~;  87   |;  14   &; 366   @)
%                                         (   1 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   56 (   0   ^;  56   !;   0   ?;  56   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
    aNaturalNumber0: $i > $o ).

thf(sdtsldt0_type,type,
    sdtsldt0: $i > $i > $i ).

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

thf(xn_type,type,
    xn: $i ).

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

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

thf(xm_type,type,
    xm: $i ).

thf(doDivides0_type,type,
    doDivides0: $i > $i > $o ).

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

thf(m__3059,axiom,
    ( xq
    = ( sdtsldt0 @ xn @ xp ) ) ).

thf(zip_derived_cl82,plain,
    ( xq
    = ( sdtsldt0 @ xn @ xp ) ),
    inference(cnf,[status(esa)],[m__3059]) ).

thf(mDefQuot,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( ( W0 != sz00 )
          & ( doDivides0 @ W0 @ W1 ) )
       => ! [W2: $i] :
            ( ( W2
              = ( sdtsldt0 @ W1 @ W0 ) )
          <=> ( ( aNaturalNumber0 @ W2 )
              & ( W1
                = ( sdtasdt0 @ W0 @ W2 ) ) ) ) ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = sz00 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( X2
       != ( sdtsldt0 @ X1 @ X0 ) )
      | ( X1
        = ( sdtasdt0 @ X0 @ X2 ) )
      | ~ ( doDivides0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefQuot]) ).

thf(zip_derived_cl891,plain,
    ! [X0: $i] :
      ( ( xp = sz00 )
      | ~ ( aNaturalNumber0 @ xp )
      | ~ ( aNaturalNumber0 @ xn )
      | ( X0 != xq )
      | ( xn
        = ( sdtasdt0 @ xp @ X0 ) )
      | ~ ( doDivides0 @ xp @ xn ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl53]) ).

thf(m__2987,axiom,
    ( ( xp != sz00 )
    & ( xm != sz00 )
    & ( xn != sz00 )
    & ( aNaturalNumber0 @ xp )
    & ( aNaturalNumber0 @ xm )
    & ( aNaturalNumber0 @ xn ) ) ).

thf(zip_derived_cl74,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl76,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(m__3046,axiom,
    ( ( doDivides0 @ xp @ xn )
    & ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) ) ) ).

thf(zip_derived_cl80,plain,
    doDivides0 @ xp @ xn,
    inference(cnf,[status(esa)],[m__3046]) ).

thf(zip_derived_cl895,plain,
    ! [X0: $i] :
      ( ( xp = sz00 )
      | ( X0 != xq )
      | ( xn
        = ( sdtasdt0 @ xp @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl891,zip_derived_cl74,zip_derived_cl76,zip_derived_cl80]) ).

thf(zip_derived_cl71,plain,
    xp != sz00,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl896,plain,
    ! [X0: $i] :
      ( ( X0 != xq )
      | ( xn
        = ( sdtasdt0 @ xp @ X0 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl895,zip_derived_cl71]) ).

thf(zip_derived_cl976,plain,
    ( xn
    = ( sdtasdt0 @ xp @ xq ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl896]) ).

thf(zip_derived_cl976_001,plain,
    ( xn
    = ( sdtasdt0 @ xp @ xq ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl896]) ).

thf(mMulComm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( sdtasdt0 @ W0 @ W1 )
        = ( sdtasdt0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ X1 )
        = ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMulComm]) ).

thf(mMulAsso,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 )
        & ( aNaturalNumber0 @ W2 ) )
     => ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
        = ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mMulAsso]) ).

thf(zip_derived_cl338,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl11]) ).

thf(zip_derived_cl348,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) ) )
      | ~ ( aNaturalNumber0 @ X2 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl338]) ).

thf(zip_derived_cl5682,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xn @ X0 )
        = ( sdtasdt0 @ xq @ ( sdtasdt0 @ xp @ X0 ) ) )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xq )
      | ~ ( aNaturalNumber0 @ xp ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl976,zip_derived_cl348]) ).

thf(zip_derived_cl82_002,plain,
    ( xq
    = ( sdtsldt0 @ xn @ xp ) ),
    inference(cnf,[status(esa)],[m__3059]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = sz00 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( X2
       != ( sdtsldt0 @ X1 @ X0 ) )
      | ( aNaturalNumber0 @ X2 )
      | ~ ( doDivides0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefQuot]) ).

thf(zip_derived_cl726,plain,
    ! [X0: $i] :
      ( ( xp = sz00 )
      | ~ ( aNaturalNumber0 @ xp )
      | ~ ( aNaturalNumber0 @ xn )
      | ( X0 != xq )
      | ( aNaturalNumber0 @ X0 )
      | ~ ( doDivides0 @ xp @ xn ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl52]) ).

thf(zip_derived_cl74_003,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl76_004,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl80_005,plain,
    doDivides0 @ xp @ xn,
    inference(cnf,[status(esa)],[m__3046]) ).

thf(zip_derived_cl728,plain,
    ! [X0: $i] :
      ( ( xp = sz00 )
      | ( X0 != xq )
      | ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl726,zip_derived_cl74,zip_derived_cl76,zip_derived_cl80]) ).

thf(zip_derived_cl71_006,plain,
    xp != sz00,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl729,plain,
    ! [X0: $i] :
      ( ( X0 != xq )
      | ( aNaturalNumber0 @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl728,zip_derived_cl71]) ).

thf(zip_derived_cl817,plain,
    aNaturalNumber0 @ xq,
    inference(eq_res,[status(thm)],[zip_derived_cl729]) ).

thf(zip_derived_cl74_007,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl5709,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xn @ X0 )
        = ( sdtasdt0 @ xq @ ( sdtasdt0 @ xp @ X0 ) ) )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5682,zip_derived_cl817,zip_derived_cl74]) ).

thf(zip_derived_cl5792,plain,
    ( ( ( sdtasdt0 @ xn @ xq )
      = ( sdtasdt0 @ xq @ xn ) )
    | ~ ( aNaturalNumber0 @ xq ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl976,zip_derived_cl5709]) ).

thf(zip_derived_cl817_008,plain,
    aNaturalNumber0 @ xq,
    inference(eq_res,[status(thm)],[zip_derived_cl729]) ).

thf(zip_derived_cl5803,plain,
    ( ( sdtasdt0 @ xn @ xq )
    = ( sdtasdt0 @ xq @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl5792,zip_derived_cl817]) ).

thf(zip_derived_cl976_009,plain,
    ( xn
    = ( sdtasdt0 @ xp @ xq ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl896]) ).

thf(zip_derived_cl11_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mMulAsso]) ).

thf(zip_derived_cl981,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ xq )
      | ~ ( aNaturalNumber0 @ xp )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xn @ X0 )
        = ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl976,zip_derived_cl11]) ).

thf(zip_derived_cl817_011,plain,
    aNaturalNumber0 @ xq,
    inference(eq_res,[status(thm)],[zip_derived_cl729]) ).

thf(zip_derived_cl74_012,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl999,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xn @ X0 )
        = ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl981,zip_derived_cl817,zip_derived_cl74]) ).

thf(zip_derived_cl6207,plain,
    ( ~ ( aNaturalNumber0 @ xn )
    | ( ( sdtasdt0 @ xn @ xn )
      = ( sdtasdt0 @ xp @ ( sdtasdt0 @ xn @ xq ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5803,zip_derived_cl999]) ).

thf(zip_derived_cl76_013,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl6249,plain,
    ( ( sdtasdt0 @ xn @ xn )
    = ( sdtasdt0 @ xp @ ( sdtasdt0 @ xn @ xq ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6207,zip_derived_cl76]) ).

thf(mSortsB_02,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(m__3014,axiom,
    ( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
    = ( sdtasdt0 @ xn @ xn ) ) ).

thf(zip_derived_cl78,plain,
    ( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
    = ( sdtasdt0 @ xn @ xn ) ),
    inference(cnf,[status(esa)],[m__3014]) ).

thf(mMulCanc,axiom,
    ! [W0: $i] :
      ( ( aNaturalNumber0 @ W0 )
     => ( ( W0 != sz00 )
       => ! [W1: $i,W2: $i] :
            ( ( ( aNaturalNumber0 @ W1 )
              & ( aNaturalNumber0 @ W2 ) )
           => ( ( ( ( sdtasdt0 @ W0 @ W1 )
                  = ( sdtasdt0 @ W0 @ W2 ) )
                | ( ( sdtasdt0 @ W1 @ W0 )
                  = ( sdtasdt0 @ W2 @ W0 ) ) )
             => ( W1 = W2 ) ) ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = sz00 )
      | ( ( sdtasdt0 @ X0 @ X2 )
       != ( sdtasdt0 @ X0 @ X1 ) )
      | ( X2 = X1 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[mMulCanc]) ).

thf(zip_derived_cl772,plain,
    ! [X0: $i] :
      ( ( xp = sz00 )
      | ( ( sdtasdt0 @ xn @ xn )
       != ( sdtasdt0 @ xp @ X0 ) )
      | ( ( sdtasdt0 @ xm @ xm )
        = X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
      | ~ ( aNaturalNumber0 @ xp ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl21]) ).

thf(zip_derived_cl74_014,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl797,plain,
    ! [X0: $i] :
      ( ( xp = sz00 )
      | ( ( sdtasdt0 @ xn @ xn )
       != ( sdtasdt0 @ xp @ X0 ) )
      | ( ( sdtasdt0 @ xm @ xm )
        = X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl772,zip_derived_cl74]) ).

thf(zip_derived_cl71_015,plain,
    xp != sz00,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl798,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xn @ xn )
       != ( sdtasdt0 @ xp @ X0 ) )
      | ( ( sdtasdt0 @ xm @ xm )
        = X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl797,zip_derived_cl71]) ).

thf(zip_derived_cl5358,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ xm )
      | ~ ( aNaturalNumber0 @ xm )
      | ( ( sdtasdt0 @ xn @ xn )
       != ( sdtasdt0 @ xp @ X0 ) )
      | ( ( sdtasdt0 @ xm @ xm )
        = X0 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl798]) ).

thf(zip_derived_cl75,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl75_016,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl5361,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xn @ xn )
       != ( sdtasdt0 @ xp @ X0 ) )
      | ( ( sdtasdt0 @ xm @ xm )
        = X0 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5358,zip_derived_cl75,zip_derived_cl75]) ).

thf(zip_derived_cl7135,plain,
    ( ( ( sdtasdt0 @ xn @ xn )
     != ( sdtasdt0 @ xn @ xn ) )
    | ( ( sdtasdt0 @ xm @ xm )
      = ( sdtasdt0 @ xn @ xq ) )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xq ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6249,zip_derived_cl5361]) ).

thf(zip_derived_cl5803_017,plain,
    ( ( sdtasdt0 @ xn @ xq )
    = ( sdtasdt0 @ xq @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl5792,zip_derived_cl817]) ).

thf(zip_derived_cl5_018,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(zip_derived_cl6180,plain,
    ( ~ ( aNaturalNumber0 @ xq )
    | ~ ( aNaturalNumber0 @ xn )
    | ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xq ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5803,zip_derived_cl5]) ).

thf(zip_derived_cl817_019,plain,
    aNaturalNumber0 @ xq,
    inference(eq_res,[status(thm)],[zip_derived_cl729]) ).

thf(zip_derived_cl76_020,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl6209,plain,
    aNaturalNumber0 @ ( sdtasdt0 @ xn @ xq ),
    inference(demod,[status(thm)],[zip_derived_cl6180,zip_derived_cl817,zip_derived_cl76]) ).

thf(zip_derived_cl7183,plain,
    ( ( ( sdtasdt0 @ xn @ xn )
     != ( sdtasdt0 @ xn @ xn ) )
    | ( ( sdtasdt0 @ xm @ xm )
      = ( sdtasdt0 @ xn @ xq ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7135,zip_derived_cl6209]) ).

thf(zip_derived_cl7184,plain,
    ( ( sdtasdt0 @ xm @ xm )
    = ( sdtasdt0 @ xn @ xq ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7183]) ).

thf(zip_derived_cl999_021,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xn @ X0 )
        = ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl981,zip_derived_cl817,zip_derived_cl74]) ).

thf(m__,conjecture,
    ( ( sdtasdt0 @ xm @ xm )
    = ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sdtasdt0 @ xm @ xm )
   != ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl83,plain,
    ( ( sdtasdt0 @ xm @ xm )
   != ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1533,plain,
    ( ~ ( aNaturalNumber0 @ xq )
    | ( ( sdtasdt0 @ xm @ xm )
     != ( sdtasdt0 @ xn @ xq ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl999,zip_derived_cl83]) ).

thf(zip_derived_cl817_022,plain,
    aNaturalNumber0 @ xq,
    inference(eq_res,[status(thm)],[zip_derived_cl729]) ).

thf(zip_derived_cl1572,plain,
    ( ( sdtasdt0 @ xm @ xm )
   != ( sdtasdt0 @ xn @ xq ) ),
    inference(demod,[status(thm)],[zip_derived_cl1533,zip_derived_cl817]) ).

thf(zip_derived_cl7185,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl7184,zip_derived_cl1572]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : NUM524+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tCblFxP3je true
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri Aug 25 07:38:20 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
% 0.22/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.98/1.48  % Solved by fo/fo13.sh.
% 5.98/1.48  % done 841 iterations in 0.707s
% 5.98/1.48  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.98/1.48  % SZS output start Refutation
% See solution above
% 5.98/1.48  
% 5.98/1.48  
% 5.98/1.48  % Terminating...
% 6.48/1.55  % Runner terminated.
% 6.48/1.56  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------