TSTP Solution File: NUM474+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM474+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.qKXCCRL3Zg true

% Computer : n011.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 12:41:43 EDT 2023

% Result   : Theorem 1.34s 0.97s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  106 (  38 unt;  14 typ;   0 def)
%            Number of atoms       :  237 ( 111 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  672 ( 131   ~; 125   |;  12   &; 396   @)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :   67 (   0   ^;  67   !;   0   ?;  67   :)

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

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

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

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

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

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

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

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

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

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

thf(sdtmndt0_type,type,
    sdtmndt0: $i > $i > $i ).

thf(xr_type,type,
    xr: $i ).

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

thf(xl_type,type,
    xl: $i ).

thf(m__1360,axiom,
    ( xp
    = ( sdtsldt0 @ xm @ xl ) ) ).

thf(zip_derived_cl63,plain,
    ( xp
    = ( sdtsldt0 @ xm @ xl ) ),
    inference(cnf,[status(esa)],[m__1360]) ).

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_cl1371,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ xl )
      | ~ ( aNaturalNumber0 @ xm )
      | ( X0 != xp )
      | ( xm
        = ( sdtasdt0 @ xl @ X0 ) )
      | ~ ( doDivides0 @ xl @ xm ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl53]) ).

thf(m__1324,axiom,
    ( ( aNaturalNumber0 @ xn )
    & ( aNaturalNumber0 @ xm )
    & ( aNaturalNumber0 @ xl ) ) ).

thf(zip_derived_cl59,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl58,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(m__1324_04,axiom,
    ( ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
    & ( doDivides0 @ xl @ xm ) ) ).

thf(zip_derived_cl61,plain,
    doDivides0 @ xl @ xm,
    inference(cnf,[status(esa)],[m__1324_04]) ).

thf(zip_derived_cl1375,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ( X0 != xp )
      | ( xm
        = ( sdtasdt0 @ xl @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1371,zip_derived_cl59,zip_derived_cl58,zip_derived_cl61]) ).

thf(m__1347,axiom,
    xl != sz00 ).

thf(zip_derived_cl62,plain,
    xl != sz00,
    inference(cnf,[status(esa)],[m__1347]) ).

thf(zip_derived_cl1376,plain,
    ! [X0: $i] :
      ( ( X0 != xp )
      | ( xm
        = ( sdtasdt0 @ xl @ X0 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1375,zip_derived_cl62]) ).

thf(mSortsB,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(m__1379,axiom,
    ( xq
    = ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) ) ).

thf(zip_derived_cl64,plain,
    ( xq
    = ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) ),
    inference(cnf,[status(esa)],[m__1379]) ).

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_cl1299,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ xl )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
      | ( X0 != xq )
      | ( aNaturalNumber0 @ X0 )
      | ~ ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl52]) ).

thf(zip_derived_cl59_001,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl60,plain,
    doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ),
    inference(cnf,[status(esa)],[m__1324_04]) ).

thf(zip_derived_cl1302,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
      | ( X0 != xq )
      | ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1299,zip_derived_cl59,zip_derived_cl60]) ).

thf(zip_derived_cl62_002,plain,
    xl != sz00,
    inference(cnf,[status(esa)],[m__1347]) ).

thf(zip_derived_cl1303,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
      | ( X0 != xq )
      | ( aNaturalNumber0 @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1302,zip_derived_cl62]) ).

thf(zip_derived_cl1306,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ xn )
      | ~ ( aNaturalNumber0 @ xm )
      | ( X0 != xq )
      | ( aNaturalNumber0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1303]) ).

thf(zip_derived_cl57,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl58_003,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl1308,plain,
    ! [X0: $i] :
      ( ( X0 != xq )
      | ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1306,zip_derived_cl57,zip_derived_cl58]) ).

thf(zip_derived_cl63_004,plain,
    ( xp
    = ( sdtsldt0 @ xm @ xl ) ),
    inference(cnf,[status(esa)],[m__1360]) ).

thf(zip_derived_cl52_005,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_cl1300,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ xl )
      | ~ ( aNaturalNumber0 @ xm )
      | ( X0 != xp )
      | ( aNaturalNumber0 @ X0 )
      | ~ ( doDivides0 @ xl @ xm ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl52]) ).

thf(zip_derived_cl59_006,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl58_007,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl61_008,plain,
    doDivides0 @ xl @ xm,
    inference(cnf,[status(esa)],[m__1324_04]) ).

thf(zip_derived_cl1304,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ( X0 != xp )
      | ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1300,zip_derived_cl59,zip_derived_cl58,zip_derived_cl61]) ).

thf(zip_derived_cl62_009,plain,
    xl != sz00,
    inference(cnf,[status(esa)],[m__1347]) ).

thf(zip_derived_cl1305,plain,
    ! [X0: $i] :
      ( ( X0 != xp )
      | ( aNaturalNumber0 @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1304,zip_derived_cl62]) ).

thf(m__1422,axiom,
    ( xr
    = ( sdtmndt0 @ xq @ xp ) ) ).

thf(zip_derived_cl66,plain,
    ( xr
    = ( sdtmndt0 @ xq @ xp ) ),
    inference(cnf,[status(esa)],[m__1422]) ).

thf(mDefDiff,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( sdtlseqdt0 @ W0 @ W1 )
       => ! [W2: $i] :
            ( ( W2
              = ( sdtmndt0 @ W1 @ W0 ) )
          <=> ( ( aNaturalNumber0 @ W2 )
              & ( ( sdtpldt0 @ W0 @ W2 )
                = W1 ) ) ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( X2
       != ( sdtmndt0 @ X1 @ X0 ) )
      | ( ( sdtpldt0 @ X0 @ X2 )
        = X1 )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefDiff]) ).

thf(zip_derived_cl979,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ xp )
      | ~ ( aNaturalNumber0 @ xq )
      | ( X0 != xr )
      | ( ( sdtpldt0 @ xp @ X0 )
        = xq )
      | ~ ( sdtlseqdt0 @ xp @ xq ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl29]) ).

thf(m__1395,axiom,
    sdtlseqdt0 @ xp @ xq ).

thf(zip_derived_cl65,plain,
    sdtlseqdt0 @ xp @ xq,
    inference(cnf,[status(esa)],[m__1395]) ).

thf(zip_derived_cl981,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ xp )
      | ~ ( aNaturalNumber0 @ xq )
      | ( X0 != xr )
      | ( ( sdtpldt0 @ xp @ X0 )
        = xq ) ),
    inference(demod,[status(thm)],[zip_derived_cl979,zip_derived_cl65]) ).

thf(zip_derived_cl1355,plain,
    ! [X0: $i] :
      ( ( xp != xp )
      | ~ ( aNaturalNumber0 @ xq )
      | ( X0 != xr )
      | ( ( sdtpldt0 @ xp @ X0 )
        = xq ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1305,zip_derived_cl981]) ).

thf(zip_derived_cl1360,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ xp @ X0 )
        = xq )
      | ( X0 != xr )
      | ~ ( aNaturalNumber0 @ xq ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1355]) ).

thf(zip_derived_cl1505,plain,
    ! [X0: $i] :
      ( ( xq != xq )
      | ( ( sdtpldt0 @ xp @ X0 )
        = xq )
      | ( X0 != xr ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1308,zip_derived_cl1360]) ).

thf(zip_derived_cl1507,plain,
    ! [X0: $i] :
      ( ( X0 != xr )
      | ( ( sdtpldt0 @ xp @ X0 )
        = xq ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1505]) ).

thf(zip_derived_cl4_010,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(zip_derived_cl64_011,plain,
    ( xq
    = ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) ),
    inference(cnf,[status(esa)],[m__1379]) ).

thf(zip_derived_cl53_012,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_cl1370,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ xl )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
      | ( X0 != xq )
      | ( ( sdtpldt0 @ xm @ xn )
        = ( sdtasdt0 @ xl @ X0 ) )
      | ~ ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl53]) ).

thf(zip_derived_cl59_013,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl60_014,plain,
    doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ),
    inference(cnf,[status(esa)],[m__1324_04]) ).

thf(zip_derived_cl1373,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
      | ( X0 != xq )
      | ( ( sdtpldt0 @ xm @ xn )
        = ( sdtasdt0 @ xl @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1370,zip_derived_cl59,zip_derived_cl60]) ).

thf(zip_derived_cl62_015,plain,
    xl != sz00,
    inference(cnf,[status(esa)],[m__1347]) ).

thf(zip_derived_cl1374,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
      | ( X0 != xq )
      | ( ( sdtpldt0 @ xm @ xn )
        = ( sdtasdt0 @ xl @ X0 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1373,zip_derived_cl62]) ).

thf(zip_derived_cl1867,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ xn )
      | ~ ( aNaturalNumber0 @ xm )
      | ( X0 != xq )
      | ( ( sdtpldt0 @ xm @ xn )
        = ( sdtasdt0 @ xl @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1374]) ).

thf(zip_derived_cl57_016,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl58_017,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl1868,plain,
    ! [X0: $i] :
      ( ( X0 != xq )
      | ( ( sdtpldt0 @ xm @ xn )
        = ( sdtasdt0 @ xl @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1867,zip_derived_cl57,zip_derived_cl58]) ).

thf(zip_derived_cl1305_018,plain,
    ! [X0: $i] :
      ( ( X0 != xp )
      | ( aNaturalNumber0 @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1304,zip_derived_cl62]) ).

thf(zip_derived_cl1308_019,plain,
    ! [X0: $i] :
      ( ( X0 != xq )
      | ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1306,zip_derived_cl57,zip_derived_cl58]) ).

thf(zip_derived_cl1305_020,plain,
    ! [X0: $i] :
      ( ( X0 != xp )
      | ( aNaturalNumber0 @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1304,zip_derived_cl62]) ).

thf(zip_derived_cl66_021,plain,
    ( xr
    = ( sdtmndt0 @ xq @ xp ) ),
    inference(cnf,[status(esa)],[m__1422]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( X2
       != ( sdtmndt0 @ X1 @ X0 ) )
      | ( aNaturalNumber0 @ X2 )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefDiff]) ).

thf(zip_derived_cl984,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ xp )
      | ~ ( aNaturalNumber0 @ xq )
      | ( X0 != xr )
      | ( aNaturalNumber0 @ X0 )
      | ~ ( sdtlseqdt0 @ xp @ xq ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl30]) ).

thf(zip_derived_cl65_022,plain,
    sdtlseqdt0 @ xp @ xq,
    inference(cnf,[status(esa)],[m__1395]) ).

thf(zip_derived_cl986,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ xp )
      | ~ ( aNaturalNumber0 @ xq )
      | ( X0 != xr )
      | ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl984,zip_derived_cl65]) ).

thf(zip_derived_cl1356,plain,
    ! [X0: $i] :
      ( ( xp != xp )
      | ~ ( aNaturalNumber0 @ xq )
      | ( X0 != xr )
      | ( aNaturalNumber0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1305,zip_derived_cl986]) ).

thf(zip_derived_cl1361,plain,
    ! [X0: $i] :
      ( ( aNaturalNumber0 @ X0 )
      | ( X0 != xr )
      | ~ ( aNaturalNumber0 @ xq ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1356]) ).

thf(zip_derived_cl1400,plain,
    ! [X0: $i] :
      ( ( xq != xq )
      | ( aNaturalNumber0 @ X0 )
      | ( X0 != xr ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1308,zip_derived_cl1361]) ).

thf(zip_derived_cl1402,plain,
    ! [X0: $i] :
      ( ( X0 != xr )
      | ( aNaturalNumber0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1400]) ).

thf(mAMDistr,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 )
        & ( aNaturalNumber0 @ W2 ) )
     => ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
        & ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
          = ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
        = ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAMDistr]) ).

thf(m__,conjecture,
    ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ ( sdtasdt0 @ xl @ xr ) )
    = ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ ( sdtasdt0 @ xl @ xr ) )
   != ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl67,plain,
    ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ ( sdtasdt0 @ xl @ xr ) )
   != ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl587,plain,
    ( ~ ( aNaturalNumber0 @ xr )
    | ~ ( aNaturalNumber0 @ xl )
    | ~ ( aNaturalNumber0 @ xp )
    | ( ( sdtasdt0 @ xl @ ( sdtpldt0 @ xp @ xr ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl67]) ).

thf(zip_derived_cl59_023,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl624,plain,
    ( ~ ( aNaturalNumber0 @ xr )
    | ~ ( aNaturalNumber0 @ xp )
    | ( ( sdtasdt0 @ xl @ ( sdtpldt0 @ xp @ xr ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl59]) ).

thf(zip_derived_cl1494,plain,
    ( ( xr != xr )
    | ~ ( aNaturalNumber0 @ xp )
    | ( ( sdtasdt0 @ xl @ ( sdtpldt0 @ xp @ xr ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1402,zip_derived_cl624]) ).

thf(zip_derived_cl1495,plain,
    ( ( ( sdtasdt0 @ xl @ ( sdtpldt0 @ xp @ xr ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) )
    | ~ ( aNaturalNumber0 @ xp ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1494]) ).

thf(zip_derived_cl1496,plain,
    ( ( xp != xp )
    | ( ( sdtasdt0 @ xl @ ( sdtpldt0 @ xp @ xr ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1305,zip_derived_cl1495]) ).

thf(zip_derived_cl1499,plain,
    ( ( sdtasdt0 @ xl @ ( sdtpldt0 @ xp @ xr ) )
   != ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1496]) ).

thf(zip_derived_cl1928,plain,
    ( ( ( sdtpldt0 @ xp @ xr )
     != xq )
    | ( ( sdtpldt0 @ xm @ xn )
     != ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1868,zip_derived_cl1499]) ).

thf(zip_derived_cl2006,plain,
    ( ( xr != xr )
    | ( xq != xq )
    | ( ( sdtpldt0 @ xm @ xn )
     != ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1507,zip_derived_cl1928]) ).

thf(zip_derived_cl2007,plain,
    ( ( sdtpldt0 @ xm @ xn )
   != ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2006]) ).

thf(zip_derived_cl2010,plain,
    ( ( xp != xp )
    | ( ( sdtpldt0 @ xm @ xn )
     != ( sdtpldt0 @ xm @ xn ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1376,zip_derived_cl2007]) ).

thf(zip_derived_cl2013,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2010]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM474+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qKXCCRL3Zg true
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug 25 08:30:53 EDT 2023
% 0.20/0.34  % CPUTime  : 
% 0.20/0.34  % Running portfolio for 300 s
% 0.20/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.34  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.92/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.92/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.92/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.92/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.92/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.32/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.34/0.97  % Solved by fo/fo6_bce.sh.
% 1.34/0.97  % BCE start: 68
% 1.34/0.97  % BCE eliminated: 2
% 1.34/0.97  % PE start: 66
% 1.34/0.97  logic: eq
% 1.34/0.97  % PE eliminated: 0
% 1.34/0.97  % done 204 iterations in 0.232s
% 1.34/0.97  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/0.97  % SZS output start Refutation
% See solution above
% 1.34/0.98  
% 1.34/0.98  
% 1.34/0.98  % Terminating...
% 1.61/1.06  % Runner terminated.
% 1.61/1.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------