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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG091+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ml2JCpcR9u 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 04:50:29 PM UTC 2025

% Result   : Theorem 0.58s 0.90s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   84 (  27 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  399 (  57   ~;  42   |;  12   &; 284   @)
%                                         (   0 <=>;   0  =>;   4  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :   38 (   0   ^;  30   !;   8   ?;  38   :)

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

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

thf(xk_type,type,
    xk: $i ).

thf(sdtpldt1_type,type,
    sdtpldt1: $i > $i > $i ).

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

thf(xJ_type,type,
    xJ: $i ).

thf(xy_type,type,
    xy: $i ).

thf(xI_type,type,
    xI: $i ).

thf(xz_type,type,
    xz: $i ).

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

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

thf(xx_type,type,
    xx: $i ).

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

thf(m__1061,axiom,
    ( ( sdtpldt0 @ xx @ xy )
    = ( sdtpldt0 @ ( sdtpldt0 @ xk @ xm ) @ ( sdtpldt0 @ xl @ xn ) ) ) ).

thf(zip_derived_cl82,plain,
    ( ( sdtpldt0 @ xx @ xy )
    = ( sdtpldt0 @ ( sdtpldt0 @ xk @ xm ) @ ( sdtpldt0 @ xl @ xn ) ) ),
    inference(cnf,[status(esa)],[m__1061]) ).

thf(m__,conjecture,
    ( ( ( aElementOf0 @ ( sdtpldt0 @ xx @ xy ) @ ( sdtpldt1 @ xI @ xJ ) )
      | ? [W0: $i,W1: $i] :
          ( ( ( sdtpldt0 @ W0 @ W1 )
            = ( sdtpldt0 @ xx @ xy ) )
          & ( aElementOf0 @ W1 @ xJ )
          & ( aElementOf0 @ W0 @ xI ) ) )
    & ( ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ ( sdtpldt1 @ xI @ xJ ) )
      | ? [W0: $i,W1: $i] :
          ( ( ( sdtpldt0 @ W0 @ W1 )
            = ( sdtasdt0 @ xz @ xx ) )
          & ( aElementOf0 @ W1 @ xJ )
          & ( aElementOf0 @ W0 @ xI ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( aElementOf0 @ ( sdtpldt0 @ xx @ xy ) @ ( sdtpldt1 @ xI @ xJ ) )
        | ? [W0: $i,W1: $i] :
            ( ( ( sdtpldt0 @ W0 @ W1 )
              = ( sdtpldt0 @ xx @ xy ) )
            & ( aElementOf0 @ W1 @ xJ )
            & ( aElementOf0 @ W0 @ xI ) ) )
      & ( ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ ( sdtpldt1 @ xI @ xJ ) )
        | ? [W0: $i,W1: $i] :
            ( ( ( sdtpldt0 @ W0 @ W1 )
              = ( sdtasdt0 @ xz @ xx ) )
            & ( aElementOf0 @ W1 @ xJ )
            & ( aElementOf0 @ W0 @ xI ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl86,plain,
    ! [X2: $i,X3: $i] :
      ( ( ( sdtpldt0 @ X2 @ X3 )
       != ( sdtpldt0 @ xx @ xy ) )
      | ~ ( aElementOf0 @ X3 @ xJ )
      | ~ ( aElementOf0 @ X2 @ xI )
      | ~ ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl92,plain,
    ( ! [X2: $i,X3: $i] :
        ( ( ( sdtpldt0 @ X2 @ X3 )
         != ( sdtpldt0 @ xx @ xy ) )
        | ~ ( aElementOf0 @ X3 @ xJ )
        | ~ ( aElementOf0 @ X2 @ xI ) )
   <= ! [X2: $i,X3: $i] :
        ( ( ( sdtpldt0 @ X2 @ X3 )
         != ( sdtpldt0 @ xx @ xy ) )
        | ~ ( aElementOf0 @ X3 @ xJ )
        | ~ ( aElementOf0 @ X2 @ xI ) ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(m__1098,axiom,
    ( ( sdtasdt0 @ xz @ xx )
    = ( sdtpldt0 @ ( sdtasdt0 @ xz @ xk ) @ ( sdtasdt0 @ xz @ xl ) ) ) ).

thf(zip_derived_cl83,plain,
    ( ( sdtasdt0 @ xz @ xx )
    = ( sdtpldt0 @ ( sdtasdt0 @ xz @ xk ) @ ( sdtasdt0 @ xz @ xl ) ) ),
    inference(cnf,[status(esa)],[m__1098]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ ( sdtpldt0 @ xx @ xy ) @ ( sdtpldt1 @ xI @ xJ ) )
      | ~ ( aElementOf0 @ X0 @ xI )
      | ~ ( aElementOf0 @ X1 @ xJ )
      | ( ( sdtpldt0 @ X0 @ X1 )
       != ( sdtasdt0 @ xz @ xx ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl90,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( sdtpldt0 @ X0 @ X1 )
         != ( sdtasdt0 @ xz @ xx ) )
        | ~ ( aElementOf0 @ X0 @ xI )
        | ~ ( aElementOf0 @ X1 @ xJ ) )
   <= ! [X0: $i,X1: $i] :
        ( ( ( sdtpldt0 @ X0 @ X1 )
         != ( sdtasdt0 @ xz @ xx ) )
        | ~ ( aElementOf0 @ X0 @ xI )
        | ~ ( aElementOf0 @ X1 @ xJ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl142,plain,
    ( ( ( ( sdtasdt0 @ xz @ xx )
       != ( sdtasdt0 @ xz @ xx ) )
      | ~ ( aElementOf0 @ ( sdtasdt0 @ xz @ xk ) @ xI )
      | ~ ( aElementOf0 @ ( sdtasdt0 @ xz @ xl ) @ xJ ) )
   <= ! [X0: $i,X1: $i] :
        ( ( ( sdtpldt0 @ X0 @ X1 )
         != ( sdtasdt0 @ xz @ xx ) )
        | ~ ( aElementOf0 @ X0 @ xI )
        | ~ ( aElementOf0 @ X1 @ xJ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl90]) ).

thf(m__1021,axiom,
    ( ( aElementOf0 @ ( sdtasdt0 @ xz @ xl ) @ xJ )
    & ( aElementOf0 @ ( sdtasdt0 @ xz @ xk ) @ xI ) ) ).

thf(zip_derived_cl81,plain,
    aElementOf0 @ ( sdtasdt0 @ xz @ xk ) @ xI,
    inference(cnf,[status(esa)],[m__1021]) ).

thf(zip_derived_cl80,plain,
    aElementOf0 @ ( sdtasdt0 @ xz @ xl ) @ xJ,
    inference(cnf,[status(esa)],[m__1021]) ).

thf(zip_derived_cl144,plain,
    ( ( ( sdtasdt0 @ xz @ xx )
     != ( sdtasdt0 @ xz @ xx ) )
   <= ! [X0: $i,X1: $i] :
        ( ( ( sdtpldt0 @ X0 @ X1 )
         != ( sdtasdt0 @ xz @ xx ) )
        | ~ ( aElementOf0 @ X0 @ xI )
        | ~ ( aElementOf0 @ X1 @ xJ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl81,zip_derived_cl80]) ).

thf('0',plain,
    ~ ! [X0: $i,X1: $i] :
        ( ( ( sdtpldt0 @ X0 @ X1 )
         != ( sdtasdt0 @ xz @ xx ) )
        | ~ ( aElementOf0 @ X0 @ xI )
        | ~ ( aElementOf0 @ X1 @ xJ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl144]) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( sdtpldt0 @ X2 @ X3 )
       != ( sdtpldt0 @ xx @ xy ) )
      | ~ ( aElementOf0 @ X3 @ xJ )
      | ~ ( aElementOf0 @ X2 @ xI )
      | ~ ( aElementOf0 @ X0 @ xI )
      | ~ ( aElementOf0 @ X1 @ xJ )
      | ( ( sdtpldt0 @ X0 @ X1 )
       != ( sdtasdt0 @ xz @ xx ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ! [X2: $i,X3: $i] :
        ( ( ( sdtpldt0 @ X2 @ X3 )
         != ( sdtpldt0 @ xx @ xy ) )
        | ~ ( aElementOf0 @ X3 @ xJ )
        | ~ ( aElementOf0 @ X2 @ xI ) )
    | ! [X0: $i,X1: $i] :
        ( ( ( sdtpldt0 @ X0 @ X1 )
         != ( sdtasdt0 @ xz @ xx ) )
        | ~ ( aElementOf0 @ X0 @ xI )
        | ~ ( aElementOf0 @ X1 @ xJ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf('2',plain,
    ! [X2: $i,X3: $i] :
      ( ( ( sdtpldt0 @ X2 @ X3 )
       != ( sdtpldt0 @ xx @ xy ) )
      | ~ ( aElementOf0 @ X3 @ xJ )
      | ~ ( aElementOf0 @ X2 @ xI ) ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl157,plain,
    ! [X2: $i,X3: $i] :
      ( ( ( sdtpldt0 @ X2 @ X3 )
       != ( sdtpldt0 @ xx @ xy ) )
      | ~ ( aElementOf0 @ X3 @ xJ )
      | ~ ( aElementOf0 @ X2 @ xI ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl92,'2']) ).

thf(zip_derived_cl358,plain,
    ( ( ( sdtpldt0 @ xx @ xy )
     != ( sdtpldt0 @ xx @ xy ) )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ xl @ xn ) @ xJ )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ xk @ xm ) @ xI ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl157]) ).

thf(m__994,axiom,
    ( ( aElementOf0 @ ( sdtpldt0 @ xl @ xn ) @ xJ )
    & ( aElementOf0 @ ( sdtpldt0 @ xk @ xm ) @ xI ) ) ).

thf(zip_derived_cl78,plain,
    aElementOf0 @ ( sdtpldt0 @ xl @ xn ) @ xJ,
    inference(cnf,[status(esa)],[m__994]) ).

thf(zip_derived_cl79,plain,
    aElementOf0 @ ( sdtpldt0 @ xk @ xm ) @ xI,
    inference(cnf,[status(esa)],[m__994]) ).

thf(zip_derived_cl362,plain,
    ( ( sdtpldt0 @ xx @ xy )
   != ( sdtpldt0 @ xx @ xy ) ),
    inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl78,zip_derived_cl79]) ).

thf(zip_derived_cl363,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl362]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : RNG091+2 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ml2JCpcR9u true
% 0.13/0.35  % Computer : n018.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 : Wed Oct  1 17:19:53 EDT 2025
% 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
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.55/0.67  % Total configuration time : 435
% 0.55/0.67  % Estimated wc time : 1092
% 0.55/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.90  % Solved by fo/fo1_av.sh.
% 0.58/0.90  % done 121 iterations in 0.080s
% 0.58/0.90  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.90  % SZS output start Refutation
% See solution above
% 0.58/0.90  
% 0.58/0.90  
% 0.58/0.90  % Terminating...
% 0.60/0.99  % Runner terminated.
% 0.60/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------