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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG077+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZVn7BMp8zk true

% Computer : n023.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 Oct  2 04:50:26 PM UTC 2025

% Result   : Theorem 0.32s 1.07s
% Output   : Refutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   42 (  20 unt;   0 typ;   0 def)
%            Number of atoms       :  102 (  39 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  448 (  56   ~;  34   |;  16   &; 332   @)
%                                         (   0 <=>;   3  =>;   7  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^;  31   !;   0   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xP_type,type,
    xP: $i ).

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

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

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

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

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

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

thf(xE_type,type,
    xE: $i ).

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

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

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

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

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

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(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_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_cl98,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( aScalar0 @ X0 )
        | ~ ( aScalar0 @ X1 )
        | ( ( sdtasdt0 @ X1 @ X0 )
          = ( sdtasdt0 @ X0 @ X1 ) ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( aScalar0 @ X0 )
        | ~ ( aScalar0 @ X1 )
        | ( ( sdtasdt0 @ X1 @ X0 )
          = ( sdtasdt0 @ X0 @ X1 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(m__,conjecture,
    ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
    = ( sdtpldt0 @ ( sdtasdt0 @ xE @ xH ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
   != ( sdtpldt0 @ ( sdtasdt0 @ xE @ xH ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl92,plain,
    ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
   != ( sdtpldt0 @ ( sdtasdt0 @ xE @ xH ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__1911,axiom,
    ( ( xP
      = ( sdtasdt0 @ xE @ xH ) )
    & ( aScalar0 @ xP ) ) ).

thf(zip_derived_cl83,plain,
    ( xP
    = ( sdtasdt0 @ xE @ xH ) ),
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl99,plain,
    ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
   != ( sdtpldt0 @ xP @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl83]) ).

thf(zip_derived_cl102,plain,
    ( ( ~ ( aScalar0 @ xE )
      | ~ ( aScalar0 @ xH )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
       != ( sdtpldt0 @ xP @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xH ) @ ( sdtasdt0 @ xH @ xH ) ) ) ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( aScalar0 @ X0 )
        | ~ ( aScalar0 @ X1 )
        | ( ( sdtasdt0 @ X1 @ X0 )
          = ( sdtasdt0 @ X0 @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl99]) ).

thf(zip_derived_cl83_001,plain,
    ( xP
    = ( sdtasdt0 @ xE @ xH ) ),
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl106,plain,
    ( ( ~ ( aScalar0 @ xE )
      | ~ ( aScalar0 @ xH )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
       != ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( aScalar0 @ X0 )
        | ~ ( aScalar0 @ X1 )
        | ( ( sdtasdt0 @ X1 @ X0 )
          = ( sdtasdt0 @ X0 @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl83]) ).

thf(zip_derived_cl109,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
     != ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) )
   <= ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
     != ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(m__1820,axiom,
    ( ( xE
      = ( sdtasasdt0 @ xp @ xq ) )
    & ( aScalar0 @ xE ) ) ).

thf(zip_derived_cl74,plain,
    aScalar0 @ xE,
    inference(cnf,[status(esa)],[m__1820]) ).

thf(zip_derived_cl111,plain,
    ( ~ ( aScalar0 @ xE )
   <= ~ ( aScalar0 @ xE ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf('0',plain,
    aScalar0 @ xE,
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl111]) ).

thf(zip_derived_cl74_002,plain,
    aScalar0 @ xE,
    inference(cnf,[status(esa)],[m__1820]) ).

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_cl21,plain,
    ! [X0: $i] :
      ( ( ( smndt0 @ sz0z00 )
        = sz0z00 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(cnf,[status(esa)],[mScZero]) ).

thf(zip_derived_cl93,plain,
    ( ! [X0: $i] :
        ~ ( aScalar0 @ X0 )
   <= ! [X0: $i] :
        ~ ( aScalar0 @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf('1',plain,
    ~ ! [X0: $i] :
        ~ ( aScalar0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl93]) ).

thf('2',plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( aScalar0 @ X0 )
        | ~ ( aScalar0 @ X1 )
        | ( ( sdtasdt0 @ X1 @ X0 )
          = ( sdtasdt0 @ X0 @ X1 ) ) )
    | ! [X0: $i] :
        ~ ( aScalar0 @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

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

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

thf(zip_derived_cl110,plain,
    ( ~ ( aScalar0 @ xH )
   <= ~ ( aScalar0 @ xH ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf('3',plain,
    aScalar0 @ xH,
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl110]) ).

thf('4',plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
     != ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) )
    | ~ ( aScalar0 @ xH )
    | ~ ! [X0: $i,X1: $i] :
          ( ~ ( aScalar0 @ X0 )
          | ~ ( aScalar0 @ X1 )
          | ( ( sdtasdt0 @ X1 @ X0 )
            = ( sdtasdt0 @ X0 @ X1 ) ) )
    | ~ ( aScalar0 @ xE ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf('5',plain,
    ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
   != ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4']) ).

thf(zip_derived_cl142,plain,
    ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
   != ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl109,'5']) ).

thf(zip_derived_cl240,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) )
    | ~ ( aScalar0 @ xP )
    | ~ ( aScalar0 @ xP )
    | ( ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) )
     != ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl142]) ).

thf(zip_derived_cl84,plain,
    aScalar0 @ xP,
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl84_003,plain,
    aScalar0 @ xP,
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl266,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) )
    | ( ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) )
     != ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl240,zip_derived_cl84,zip_derived_cl84]) ).

thf(zip_derived_cl267,plain,
    ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) ),
    inference(simplify,[status(thm)],[zip_derived_cl266]) ).

thf(zip_derived_cl269,plain,
    ( ~ ( aScalar0 @ xH )
    | ~ ( aScalar0 @ xH ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl267]) ).

thf(zip_derived_cl80_004,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl80_005,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl270,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl80,zip_derived_cl80]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.26  % Problem  : RNG077+1 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.28  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZVn7BMp8zk true
% 0.12/0.50  % Computer : n023.cluster.edu
% 0.12/0.50  % Model    : x86_64 x86_64
% 0.12/0.50  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.50  % Memory   : 8042.1875MB
% 0.12/0.50  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.50  % CPULimit : 300
% 0.12/0.50  % WCLimit  : 300
% 0.12/0.50  % DateTime : Wed Oct  1 17:23:38 EDT 2025
% 0.12/0.50  % CPUTime  : 
% 0.12/0.50  % Running portfolio for 300 s
% 0.12/0.50  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.51  % Number of cores: 8
% 0.12/0.51  % Python version: Python 3.6.8
% 0.12/0.51  % Running in FO mode
% 0.31/0.81  % Total configuration time : 435
% 0.31/0.81  % Estimated wc time : 1092
% 0.31/0.81  % Estimated cpu time (7 cpus) : 156.0
% 0.32/0.96  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.32/0.96  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.32/0.97  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.32/1.01  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.32/1.02  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.32/1.06  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.32/1.07  % Solved by fo/fo1_av.sh.
% 0.32/1.07  % done 94 iterations in 0.064s
% 0.32/1.07  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.32/1.07  % SZS output start Refutation
% See solution above
% 0.32/1.07  
% 0.32/1.07  
% 0.32/1.07  % Terminating...
% 1.96/1.23  % Runner terminated.
% 1.96/1.25  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------