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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM605+3 : 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.cZ8mZSFtzO true

% Computer : n017.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 04:47:36 PM UTC 2025

% Result   : Theorem 0.56s 0.82s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   41 (  26 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   75 (  14   ~;   7   |;   7   &;  43   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^;   8   !;   3   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(slbdtsldtrb0_type,type,
    slbdtsldtrb0: $i > $i > $i ).

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

thf(xO_type,type,
    xO: $i ).

thf(sbrdtbr0_type,type,
    sbrdtbr0: $i > $i ).

thf(slbdtrb0_type,type,
    slbdtrb0: $i > $i ).

thf(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

thf(slcrc0_type,type,
    slcrc0: $i ).

thf(xQ_type,type,
    xQ: $i ).

thf(xK_type,type,
    xK: $i ).

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

thf(mCardEmpty,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ( ( ( sbrdtbr0 @ W0 )
          = sz00 )
      <=> ( W0 = slcrc0 ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( X0 != slcrc0 )
      | ( ( sbrdtbr0 @ X0 )
        = sz00 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCardEmpty]) ).

thf(mSegZero,axiom,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ) ).

thf(zip_derived_cl64,plain,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ),
    inference(cnf,[status(esa)],[mSegZero]) ).

thf(zip_derived_cl328,plain,
    ! [X0: $i] :
      ( ( X0
       != ( slbdtrb0 @ sz00 ) )
      | ( ( sbrdtbr0 @ X0 )
        = sz00 )
      | ~ ( aSet0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl64]) ).

thf(mDefEmp,axiom,
    ! [W0: $i] :
      ( ( W0 = slcrc0 )
    <=> ( ( aSet0 @ W0 )
        & ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ( X0 != slcrc0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(zip_derived_cl64_001,plain,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ),
    inference(cnf,[status(esa)],[mSegZero]) ).

thf(zip_derived_cl309,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ( X0
       != ( slbdtrb0 @ sz00 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl64]) ).

thf(zip_derived_cl329,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
        = sz00 )
      | ( X0
       != ( slbdtrb0 @ sz00 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl328,zip_derived_cl309]) ).

thf(zip_derived_cl330,plain,
    ( ( sbrdtbr0 @ ( slbdtrb0 @ sz00 ) )
    = sz00 ),
    inference(eq_res,[status(thm)],[zip_derived_cl329]) ).

thf(m__3462,axiom,
    xK != sz00 ).

thf(zip_derived_cl135,plain,
    xK != sz00,
    inference(cnf,[status(esa)],[m__3462]) ).

thf(m__5078,axiom,
    ( ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ) )
    & ( ( sbrdtbr0 @ xQ )
      = xK )
    & ( aSubsetOf0 @ xQ @ xO )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xQ )
       => ( aElementOf0 @ W0 @ xO ) )
    & ( aSet0 @ xQ ) ) ).

thf(zip_derived_cl302,plain,
    ( ( sbrdtbr0 @ xQ )
    = xK ),
    inference(cnf,[status(esa)],[m__5078]) ).

thf(m__,conjecture,
    ~ ( ~ ? [W0: $i] : ( aElementOf0 @ W0 @ xQ )
      & ( xQ = slcrc0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ~ ? [W0: $i] : ( aElementOf0 @ W0 @ xQ )
    & ( xQ = slcrc0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl304,plain,
    xQ = slcrc0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64_002,plain,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ),
    inference(cnf,[status(esa)],[mSegZero]) ).

thf(zip_derived_cl312,plain,
    ( xQ
    = ( slbdtrb0 @ sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl304,zip_derived_cl64]) ).

thf(zip_derived_cl320,plain,
    ( ( sbrdtbr0 @ ( slbdtrb0 @ sz00 ) )
    = xK ),
    inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl312]) ).

thf(zip_derived_cl321,plain,
    ( ( sbrdtbr0 @ ( slbdtrb0 @ sz00 ) )
   != sz00 ),
    inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl320]) ).

thf(zip_derived_cl331,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl330,zip_derived_cl321]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM605+3 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cZ8mZSFtzO true
% 0.13/0.35  % Computer : n017.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 16:20:08 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/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
% 0.56/0.68  % Total configuration time : 435
% 0.56/0.68  % Estimated wc time : 1092
% 0.56/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.56/0.82  % Solved by fo/fo7.sh.
% 0.56/0.82  % done 56 iterations in 0.046s
% 0.56/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.82  % SZS output start Refutation
% See solution above
% 0.56/0.82  
% 0.56/0.82  
% 0.56/0.82  % Terminating...
% 0.61/0.86  % Runner terminated.
% 0.61/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------