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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM455+6 : 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.1OUz302Sxu true

% Computer : n029.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 04:47:02 PM UTC 2025

% Result   : Theorem 0.54s 0.82s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   54 (  29 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  227 (  16   ~;  17   |;  18   &; 176   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :    8 (   0   ^;   2   !;   6   ?;   8   :)

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

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

thf(aInteger0_type,type,
    aInteger0: $i > $o ).

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

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

thf(cS2200_type,type,
    cS2200: $i ).

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

thf(szAzrzSzezqlpdtcmdtrp0_type,type,
    szAzrzSzezqlpdtcmdtrp0: $i > $i > $i ).

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

thf(aDivisorOf0_type,type,
    aDivisorOf0: $i > $i > $o ).

thf(sdteqdtlpzmzozddtrp0_type,type,
    sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).

thf(m__2232,axiom,
    ( ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
    & ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
    & ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
    & ? [W0: $i] :
        ( ( ( sdtasdt0 @ xp @ W0 )
          = ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
        & ( aInteger0 @ W0 ) )
    & ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
    & ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
    & ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
    & ? [W0: $i] :
        ( ( ( sdtasdt0 @ xp @ W0 )
          = ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
        & ( aInteger0 @ W0 ) ) ) ).

thf(zip_derived_cl222,plain,
    aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ),
    inference(cnf,[status(esa)],[m__2232]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ~ ( ( ( W0 = sz10 )
            | ( W0
              = ( smndt0 @ sz10 ) ) )
          & ( aElementOf0 @ W0 @ cS2200 ) )
      & ( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
        | ( ( ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp )
            | ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
            | ? [W1: $i] :
                ( ( ( sdtasdt0 @ xp @ W1 )
                  = ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
                & ( aInteger0 @ W1 ) ) )
          & ( aInteger0 @ W0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i] :
        ( ~ ( ( ( W0 = sz10 )
              | ( W0
                = ( smndt0 @ sz10 ) ) )
            & ( aElementOf0 @ W0 @ cS2200 ) )
        & ( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
          | ( ( ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp )
              | ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
              | ? [W1: $i] :
                  ( ( ( sdtasdt0 @ xp @ W1 )
                    = ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
                  & ( aInteger0 @ W1 ) ) )
            & ( aInteger0 @ W0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl226,plain,
    ! [X0: $i] :
      ( ( X0
        = ( smndt0 @ sz10 ) )
      | ( X0 = sz10 )
      | ~ ( aElementOf0 @ X0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl423,plain,
    ( ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
      = sz10 )
    | ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
      = ( smndt0 @ sz10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl226]) ).

thf(m__2258,axiom,
    ( ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
     != sz10 )
    & ( ( sdtpldt0 @ sz10 @ xp )
     != sz10 ) ) ).

thf(zip_derived_cl223,plain,
    ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
   != sz10 ),
    inference(cnf,[status(esa)],[m__2258]) ).

thf(zip_derived_cl425,plain,
    ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
    = ( smndt0 @ sz10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl423,zip_derived_cl223]) ).

thf(m__2286,axiom,
    ( ( ( sdtpldt0 @ sz10 @ xp )
     != ( smndt0 @ sz10 ) )
    | ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
     != ( smndt0 @ sz10 ) ) ) ).

thf(zip_derived_cl225,plain,
    ( ( ( sdtpldt0 @ sz10 @ xp )
     != ( smndt0 @ sz10 ) )
    | ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
     != ( smndt0 @ sz10 ) ) ),
    inference(cnf,[status(esa)],[m__2286]) ).

thf(zip_derived_cl217,plain,
    aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ),
    inference(cnf,[status(esa)],[m__2232]) ).

thf(zip_derived_cl226_001,plain,
    ! [X0: $i] :
      ( ( X0
        = ( smndt0 @ sz10 ) )
      | ( X0 = sz10 )
      | ~ ( aElementOf0 @ X0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl424,plain,
    ( ( ( sdtpldt0 @ sz10 @ xp )
      = sz10 )
    | ( ( sdtpldt0 @ sz10 @ xp )
      = ( smndt0 @ sz10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl226]) ).

thf(zip_derived_cl224,plain,
    ( ( sdtpldt0 @ sz10 @ xp )
   != sz10 ),
    inference(cnf,[status(esa)],[m__2258]) ).

thf(zip_derived_cl426,plain,
    ( ( sdtpldt0 @ sz10 @ xp )
    = ( smndt0 @ sz10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl424,zip_derived_cl224]) ).

thf(zip_derived_cl432,plain,
    ( ( ( smndt0 @ sz10 )
     != ( smndt0 @ sz10 ) )
    | ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
     != ( smndt0 @ sz10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl426]) ).

thf(zip_derived_cl433,plain,
    ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
   != ( smndt0 @ sz10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl432]) ).

thf(zip_derived_cl438,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl425,zip_derived_cl433]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM455+6 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1OUz302Sxu true
% 0.13/0.34  % Computer : n029.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 16:22:53 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.54/0.65  % Total configuration time : 435
% 0.54/0.65  % Estimated wc time : 1092
% 0.54/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.82  % Solved by fo/fo7.sh.
% 0.54/0.82  % done 194 iterations in 0.071s
% 0.54/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.82  % SZS output start Refutation
% See solution above
% 0.54/0.82  
% 0.54/0.82  
% 0.54/0.82  % Terminating...
% 0.56/0.88  % Runner terminated.
% 0.56/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------