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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG108+4 : 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.OLKzuy5nqO true

% Computer : n018.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 04:50:33 PM UTC 2025

% Result   : Theorem 0.55s 0.78s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   43 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :  149 (  60 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  436 ( 105   ~;  74   |;  17   &; 225   @)
%                                         (   0 <=>;   2  =>;  13  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   50 (   0   ^;  42   !;   8   ?;  50   :)

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

thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(sz10_type,type,
    sz10: $i ).

thf(xa_type,type,
    xa: $i ).

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

thf(slsdtgt0_type,type,
    slsdtgt0: $i > $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(xb_type,type,
    xb: $i ).

thf(mMulUnit,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtasdt0 @ W0 @ sz10 )
          = W0 )
        & ( W0
          = ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ X0 @ sz10 )
        = X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mMulUnit]) ).

thf(m__,conjecture,
    ( ( ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ) )
      | ? [W0: $i] :
          ( ( ( sdtasdt0 @ xa @ W0 )
            = sz00 )
          & ( aElement0 @ W0 ) ) )
    & ( ( aElementOf0 @ xa @ ( slsdtgt0 @ xa ) )
      | ? [W0: $i] :
          ( ( ( sdtasdt0 @ xa @ W0 )
            = xa )
          & ( aElement0 @ W0 ) ) )
    & ( ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xb ) )
      | ? [W0: $i] :
          ( ( ( sdtasdt0 @ xb @ W0 )
            = sz00 )
          & ( aElement0 @ W0 ) ) )
    & ( ( aElementOf0 @ xb @ ( slsdtgt0 @ xb ) )
      | ? [W0: $i] :
          ( ( ( sdtasdt0 @ xb @ W0 )
            = xb )
          & ( aElement0 @ W0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ) )
        | ? [W0: $i] :
            ( ( ( sdtasdt0 @ xa @ W0 )
              = sz00 )
            & ( aElement0 @ W0 ) ) )
      & ( ( aElementOf0 @ xa @ ( slsdtgt0 @ xa ) )
        | ? [W0: $i] :
            ( ( ( sdtasdt0 @ xa @ W0 )
              = xa )
            & ( aElement0 @ W0 ) ) )
      & ( ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xb ) )
        | ? [W0: $i] :
            ( ( ( sdtasdt0 @ xb @ W0 )
              = sz00 )
            & ( aElement0 @ W0 ) ) )
      & ( ( aElementOf0 @ xb @ ( slsdtgt0 @ xb ) )
        | ? [W0: $i] :
            ( ( ( sdtasdt0 @ xb @ W0 )
              = xb )
            & ( aElement0 @ W0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl135,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ) )
      | ~ ( aElement0 @ X0 )
      | ( ( sdtasdt0 @ xa @ X0 )
       != xa )
      | ~ ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xb ) )
      | ( ( sdtasdt0 @ xb @ X1 )
       != xb )
      | ~ ( aElement0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl156,plain,
    ( ! [X1: $i] :
        ( ~ ( aElement0 @ X1 )
        | ( ( sdtasdt0 @ xb @ X1 )
         != xb ) )
   <= ! [X1: $i] :
        ( ~ ( aElement0 @ X1 )
        | ( ( sdtasdt0 @ xb @ X1 )
         != xb ) ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl461,plain,
    ( ( ~ ( aElement0 @ xb )
      | ~ ( aElement0 @ sz10 )
      | ( xb != xb ) )
   <= ! [X1: $i] :
        ( ~ ( aElement0 @ X1 )
        | ( ( sdtasdt0 @ xb @ X1 )
         != xb ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl156]) ).

thf(m__2091,axiom,
    ( ( aElement0 @ xb )
    & ( aElement0 @ xa ) ) ).

thf(zip_derived_cl94,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(mSortsC_01,axiom,
    aElement0 @ sz10 ).

thf(zip_derived_cl2,plain,
    aElement0 @ sz10,
    inference(cnf,[status(esa)],[mSortsC_01]) ).

thf(zip_derived_cl475,plain,
    ( ( xb != xb )
   <= ! [X1: $i] :
        ( ~ ( aElement0 @ X1 )
        | ( ( sdtasdt0 @ xb @ X1 )
         != xb ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl461,zip_derived_cl94,zip_derived_cl2]) ).

thf(zip_derived_cl476,plain,
    ( $false
   <= ! [X1: $i] :
        ( ~ ( aElement0 @ X1 )
        | ( ( sdtasdt0 @ xb @ X1 )
         != xb ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl475]) ).

thf(mMulZero,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtasdt0 @ W0 @ sz00 )
          = sz00 )
        & ( sz00
          = ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ X0 @ sz00 )
        = sz00 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mMulZero]) ).

thf(zip_derived_cl142,plain,
    ! [X0: $i,X3: $i] :
      ( ~ ( aElement0 @ X3 )
      | ( ( sdtasdt0 @ xa @ X3 )
       != sz00 )
      | ~ ( aElement0 @ X0 )
      | ( ( sdtasdt0 @ xa @ X0 )
       != xa )
      | ~ ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xb ) )
      | ~ ( aElementOf0 @ xb @ ( slsdtgt0 @ xb ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl184,plain,
    ( ! [X3: $i] :
        ( ~ ( aElement0 @ X3 )
        | ( ( sdtasdt0 @ xa @ X3 )
         != sz00 ) )
   <= ! [X3: $i] :
        ( ~ ( aElement0 @ X3 )
        | ( ( sdtasdt0 @ xa @ X3 )
         != sz00 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl253,plain,
    ( ( ~ ( aElement0 @ xa )
      | ~ ( aElement0 @ sz00 )
      | ( sz00 != sz00 ) )
   <= ! [X3: $i] :
        ( ~ ( aElement0 @ X3 )
        | ( ( sdtasdt0 @ xa @ X3 )
         != sz00 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl184]) ).

thf(zip_derived_cl95,plain,
    aElement0 @ xa,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(mSortsC,axiom,
    aElement0 @ sz00 ).

thf(zip_derived_cl1,plain,
    aElement0 @ sz00,
    inference(cnf,[status(esa)],[mSortsC]) ).

thf(zip_derived_cl259,plain,
    ( ( sz00 != sz00 )
   <= ! [X3: $i] :
        ( ~ ( aElement0 @ X3 )
        | ( ( sdtasdt0 @ xa @ X3 )
         != sz00 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl253,zip_derived_cl95,zip_derived_cl1]) ).

thf('0',plain,
    ~ ! [X3: $i] :
        ( ~ ( aElement0 @ X3 )
        | ( ( sdtasdt0 @ xa @ X3 )
         != sz00 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl259]) ).

thf(zip_derived_cl20_001,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ X0 @ sz00 )
        = sz00 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mMulZero]) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i,X2: $i] :
      ( ~ ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ) )
      | ~ ( aElement0 @ X0 )
      | ( ( sdtasdt0 @ xa @ X0 )
       != xa )
      | ~ ( aElement0 @ X2 )
      | ( ( sdtasdt0 @ xb @ X2 )
       != sz00 )
      | ~ ( aElementOf0 @ xb @ ( slsdtgt0 @ xb ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl160,plain,
    ( ! [X2: $i] :
        ( ~ ( aElement0 @ X2 )
        | ( ( sdtasdt0 @ xb @ X2 )
         != sz00 ) )
   <= ! [X2: $i] :
        ( ~ ( aElement0 @ X2 )
        | ( ( sdtasdt0 @ xb @ X2 )
         != sz00 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl136]) ).

thf(zip_derived_cl255,plain,
    ( ( ~ ( aElement0 @ xb )
      | ~ ( aElement0 @ sz00 )
      | ( sz00 != sz00 ) )
   <= ! [X2: $i] :
        ( ~ ( aElement0 @ X2 )
        | ( ( sdtasdt0 @ xb @ X2 )
         != sz00 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl160]) ).

thf(zip_derived_cl94_002,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl1_003,plain,
    aElement0 @ sz00,
    inference(cnf,[status(esa)],[mSortsC]) ).

thf(zip_derived_cl262,plain,
    ( ( sz00 != sz00 )
   <= ! [X2: $i] :
        ( ~ ( aElement0 @ X2 )
        | ( ( sdtasdt0 @ xb @ X2 )
         != sz00 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl94,zip_derived_cl1]) ).

thf('1',plain,
    ~ ! [X2: $i] :
        ( ~ ( aElement0 @ X2 )
        | ( ( sdtasdt0 @ xb @ X2 )
         != sz00 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl262]) ).

thf(zip_derived_cl14_004,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ X0 @ sz10 )
        = X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mMulUnit]) ).

thf(zip_derived_cl134,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ) )
      | ~ ( aElement0 @ X0 )
      | ( ( sdtasdt0 @ xa @ X0 )
       != xa )
      | ~ ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xb ) )
      | ~ ( aElementOf0 @ xb @ ( slsdtgt0 @ xb ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl152,plain,
    ( ! [X0: $i] :
        ( ~ ( aElement0 @ X0 )
        | ( ( sdtasdt0 @ xa @ X0 )
         != xa ) )
   <= ! [X0: $i] :
        ( ~ ( aElement0 @ X0 )
        | ( ( sdtasdt0 @ xa @ X0 )
         != xa ) ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl460,plain,
    ( ( ~ ( aElement0 @ xa )
      | ~ ( aElement0 @ sz10 )
      | ( xa != xa ) )
   <= ! [X0: $i] :
        ( ~ ( aElement0 @ X0 )
        | ( ( sdtasdt0 @ xa @ X0 )
         != xa ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl152]) ).

thf(zip_derived_cl95_005,plain,
    aElement0 @ xa,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl2_006,plain,
    aElement0 @ sz10,
    inference(cnf,[status(esa)],[mSortsC_01]) ).

thf(zip_derived_cl473,plain,
    ( ( xa != xa )
   <= ! [X0: $i] :
        ( ~ ( aElement0 @ X0 )
        | ( ( sdtasdt0 @ xa @ X0 )
         != xa ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl460,zip_derived_cl95,zip_derived_cl2]) ).

thf('2',plain,
    ~ ! [X0: $i] :
        ( ~ ( aElement0 @ X0 )
        | ( ( sdtasdt0 @ xa @ X0 )
         != xa ) ),
    inference(simplify,[status(thm)],[zip_derived_cl473]) ).

thf(zip_derived_cl145,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aElement0 @ X3 )
      | ( ( sdtasdt0 @ xa @ X3 )
       != sz00 )
      | ~ ( aElement0 @ X0 )
      | ( ( sdtasdt0 @ xa @ X0 )
       != xa )
      | ~ ( aElement0 @ X2 )
      | ( ( sdtasdt0 @ xb @ X2 )
       != sz00 )
      | ( ( sdtasdt0 @ xb @ X1 )
       != xb )
      | ~ ( aElement0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ! [X1: $i] :
        ( ~ ( aElement0 @ X1 )
        | ( ( sdtasdt0 @ xb @ X1 )
         != xb ) )
    | ! [X0: $i] :
        ( ~ ( aElement0 @ X0 )
        | ( ( sdtasdt0 @ xa @ X0 )
         != xa ) )
    | ! [X2: $i] :
        ( ~ ( aElement0 @ X2 )
        | ( ( sdtasdt0 @ xb @ X2 )
         != sz00 ) )
    | ! [X3: $i] :
        ( ~ ( aElement0 @ X3 )
        | ( ( sdtasdt0 @ xa @ X3 )
         != sz00 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('4',plain,
    ! [X1: $i] :
      ( ~ ( aElement0 @ X1 )
      | ( ( sdtasdt0 @ xb @ X1 )
       != xb ) ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).

thf(zip_derived_cl477,plain,
    $false,
    inference(simpl_trail,[status(thm)],[zip_derived_cl476,'4']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : RNG108+4 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OLKzuy5nqO true
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 17:25:08 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.43/0.62  % Total configuration time : 435
% 0.43/0.62  % Estimated wc time : 1092
% 0.43/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.78  % Solved by fo/fo1_av.sh.
% 0.55/0.78  % done 150 iterations in 0.052s
% 0.55/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.78  % SZS output start Refutation
% See solution above
% 0.55/0.79  
% 0.55/0.79  
% 0.55/0.79  % Terminating...
% 0.58/0.83  % Runner terminated.
% 1.78/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------