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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU223+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ytZLKXFIVX true

% Computer : n025.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 04:53:53 PM UTC 2025

% Result   : Theorem 259.09s 37.65s
% Output   : Refutation 259.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   59 (  13 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  222 (  28   ~;  24   |;   7   &; 153   @)
%                                         (   1 <=>;   9  =>;   0  <=;   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     :   12 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^;  31   !;   0   ?;  31   :)

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

thf(sk__49_type,type,
    sk__49: $i ).

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

thf(sk__48_type,type,
    sk__48: $i ).

thf(set_intersection2_type,type,
    set_intersection2: $i > $i > $i ).

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

thf(sk__50_type,type,
    sk__50: $i ).

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

thf(relation_dom_restriction_type,type,
    relation_dom_restriction: $i > $i > $i ).

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

thf(t68_funct_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B ) )
     => ! [C: $i] :
          ( ( ( relation @ C )
            & ( function @ C ) )
         => ( ( B
              = ( relation_dom_restriction @ C @ A ) )
          <=> ( ( ( relation_dom @ B )
                = ( set_intersection2 @ ( relation_dom @ C ) @ A ) )
              & ! [D: $i] :
                  ( ( in @ D @ ( relation_dom @ B ) )
                 => ( ( apply @ B @ D )
                    = ( apply @ C @ D ) ) ) ) ) ) ) ).

thf(zip_derived_cl241,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ( X2
       != ( relation_dom_restriction @ X0 @ X1 ) )
      | ( ( apply @ X2 @ X3 )
        = ( apply @ X0 @ X3 ) )
      | ~ ( in @ X3 @ ( relation_dom @ X2 ) )
      | ~ ( function @ X2 )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[t68_funct_1]) ).

thf(zip_derived_cl6110,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ ( relation_dom_restriction @ X1 @ X0 ) )
      | ~ ( function @ ( relation_dom_restriction @ X1 @ X0 ) )
      | ~ ( in @ X2 @ ( relation_dom @ ( relation_dom_restriction @ X1 @ X0 ) ) )
      | ( ( apply @ ( relation_dom_restriction @ X1 @ X0 ) @ X2 )
        = ( apply @ X1 @ X2 ) )
      | ~ ( function @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl241]) ).

thf(dt_k7_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( relation @ A )
     => ( relation @ ( relation_dom_restriction @ A @ B ) ) ) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ( relation @ ( relation_dom_restriction @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[dt_k7_relat_1]) ).

thf(zip_derived_cl157174,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ X1 )
      | ~ ( function @ X1 )
      | ( ( apply @ ( relation_dom_restriction @ X1 @ X0 ) @ X2 )
        = ( apply @ X1 @ X2 ) )
      | ~ ( in @ X2 @ ( relation_dom @ ( relation_dom_restriction @ X1 @ X0 ) ) )
      | ~ ( function @ ( relation_dom_restriction @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6110,zip_derived_cl88]) ).

thf(fc4_funct_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( relation @ ( relation_dom_restriction @ A @ B ) )
        & ( function @ ( relation_dom_restriction @ A @ B ) ) ) ) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( function @ X0 )
      | ~ ( relation @ X0 )
      | ( function @ ( relation_dom_restriction @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc4_funct_1]) ).

thf(zip_derived_cl157175,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ ( relation_dom @ ( relation_dom_restriction @ X1 @ X0 ) ) )
      | ( ( apply @ ( relation_dom_restriction @ X1 @ X0 ) @ X2 )
        = ( apply @ X1 @ X2 ) )
      | ~ ( function @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl157174,zip_derived_cl106]) ).

thf(t70_funct_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( relation @ C )
        & ( function @ C ) )
     => ( ( in @ B @ ( relation_dom @ ( relation_dom_restriction @ C @ A ) ) )
       => ( ( apply @ ( relation_dom_restriction @ C @ A ) @ B )
          = ( apply @ C @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( relation @ C )
          & ( function @ C ) )
       => ( ( in @ B @ ( relation_dom @ ( relation_dom_restriction @ C @ A ) ) )
         => ( ( apply @ ( relation_dom_restriction @ C @ A ) @ B )
            = ( apply @ C @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t70_funct_1]) ).

thf(zip_derived_cl264,plain,
    ( ( apply @ ( relation_dom_restriction @ sk__50 @ sk__48 ) @ sk__49 )
   != ( apply @ sk__50 @ sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl157258,plain,
    ( ( ( apply @ sk__50 @ sk__49 )
     != ( apply @ sk__50 @ sk__49 ) )
    | ~ ( relation @ sk__50 )
    | ~ ( function @ sk__50 )
    | ~ ( in @ sk__49 @ ( relation_dom @ ( relation_dom_restriction @ sk__50 @ sk__48 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl157175,zip_derived_cl264]) ).

thf(zip_derived_cl262,plain,
    relation @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl263,plain,
    function @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl265,plain,
    in @ sk__49 @ ( relation_dom @ ( relation_dom_restriction @ sk__50 @ sk__48 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl157303,plain,
    ( ( apply @ sk__50 @ sk__49 )
   != ( apply @ sk__50 @ sk__49 ) ),
    inference(demod,[status(thm)],[zip_derived_cl157258,zip_derived_cl262,zip_derived_cl263,zip_derived_cl265]) ).

thf(zip_derived_cl157304,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl157303]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU223+2 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ytZLKXFIVX true
% 0.12/0.34  % Computer : n025.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 16:09:08 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.41/0.58  % Total configuration time : 435
% 0.41/0.58  % Estimated wc time : 1092
% 0.41/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 259.09/37.65  % Solved by fo/fo3_bce.sh.
% 259.09/37.65  % BCE start: 266
% 259.09/37.65  % BCE eliminated: 0
% 259.09/37.65  % PE start: 266
% 259.09/37.65  logic: eq
% 259.09/37.65  % PE eliminated: 9
% 259.09/37.65  % done 19002 iterations in 36.935s
% 259.09/37.65  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 259.09/37.65  % SZS output start Refutation
% See solution above
% 259.09/37.65  
% 259.09/37.65  
% 259.09/37.65  % Terminating...
% 259.29/37.69  % Runner terminated.
% 259.29/37.71  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------