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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET991+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eeciKwHdFu true

% Computer : n004.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 04:53:17 PM UTC 2025

% Result   : Theorem 0.56s 0.77s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   40 (  11 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  127 (  19   ~;  15   |;   4   &;  82   @)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  19   !;   1   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(relation_dom_type,type,
    relation_dom: $i > $i ).

thf(sk__10_type,type,
    sk__10: $i ).

thf(relation_type,type,
    relation: $i > $o ).

thf(relation_rng_type,type,
    relation_rng: $i > $i ).

thf(apply_type,type,
    apply: $i > $i > $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(function_type,type,
    function: $i > $o ).

thf(t12_funct_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B ) )
     => ( ( in @ A @ ( relation_dom @ B ) )
       => ( in @ ( apply @ B @ A ) @ ( relation_rng @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( relation @ B )
          & ( function @ B ) )
       => ( ( in @ A @ ( relation_dom @ B ) )
         => ( in @ ( apply @ B @ A ) @ ( relation_rng @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t12_funct_1]) ).

thf(zip_derived_cl43,plain,
    ~ ( in @ ( apply @ sk__10 @ sk__9 ) @ ( relation_rng @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    function @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d5_funct_1,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ! [B: $i] :
          ( ( B
            = ( relation_rng @ A ) )
        <=> ! [C: $i] :
              ( ( in @ C @ B )
            <=> ? [D: $i] :
                  ( ( C
                    = ( apply @ A @ D ) )
                  & ( in @ D @ ( relation_dom @ A ) ) ) ) ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1
       != ( relation_rng @ X0 ) )
      | ( in @ X2 @ X1 )
      | ~ ( in @ X3 @ ( relation_dom @ X0 ) )
      | ( X2
       != ( apply @ X0 @ X3 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d5_funct_1]) ).

thf(zip_derived_cl255,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ sk__10 )
      | ( X1
       != ( apply @ sk__10 @ X2 ) )
      | ~ ( in @ X2 @ ( relation_dom @ sk__10 ) )
      | ( in @ X1 @ X0 )
      | ( X0
       != ( relation_rng @ sk__10 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl50]) ).

thf(zip_derived_cl41,plain,
    relation @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl770,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( apply @ sk__10 @ X2 ) )
      | ~ ( in @ X2 @ ( relation_dom @ sk__10 ) )
      | ( in @ X1 @ X0 )
      | ( X0
       != ( relation_rng @ sk__10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl41]) ).

thf(zip_derived_cl772,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( relation_rng @ sk__10 ) )
      | ( in @ ( apply @ sk__10 @ X1 ) @ X0 )
      | ~ ( in @ X1 @ ( relation_dom @ sk__10 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl770]) ).

thf(zip_derived_cl844,plain,
    ( ~ ( in @ sk__9 @ ( relation_dom @ sk__10 ) )
    | ( ( relation_rng @ sk__10 )
     != ( relation_rng @ sk__10 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl772]) ).

thf(zip_derived_cl44,plain,
    in @ sk__9 @ ( relation_dom @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl846,plain,
    ( ( relation_rng @ sk__10 )
   != ( relation_rng @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl844,zip_derived_cl44]) ).

thf(zip_derived_cl847,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl846]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET991+1 : TPTP v9.2.0. Released v3.2.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eeciKwHdFu true
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 13:09:53 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.56/0.65  % Total configuration time : 435
% 0.56/0.65  % Estimated wc time : 1092
% 0.56/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /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/fo5.sh running for 50s
% 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/fo4.sh running for 50s
% 0.56/0.77  % Solved by fo/fo3_bce.sh.
% 0.56/0.77  % BCE start: 51
% 0.56/0.77  % BCE eliminated: 2
% 0.56/0.77  % PE start: 49
% 0.56/0.77  logic: eq
% 0.56/0.77  % PE eliminated: -7
% 0.56/0.77  % done 86 iterations in 0.039s
% 0.56/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77  % SZS output start Refutation
% See solution above
% 0.56/0.77  
% 0.56/0.77  
% 0.56/0.77  % Terminating...
% 0.58/0.85  % Runner terminated.
% 0.58/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------