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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU177+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.B5CUgOVQ3A true

% Computer : n008.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 04:53:44 PM UTC 2025

% Result   : Theorem 0.30s 1.15s
% Output   : Refutation 0.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   45 (  10 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  139 (  19   ~;  14   |;   2   &;  94   @)
%                                         (   4 <=>;   6  =>;   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     :   10 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   26 (   0   ^;  24   !;   2   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(sk__12_type,type,
    sk__12: $i ).

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

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

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

thf(sk__13_type,type,
    sk__13: $i ).

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

thf(t20_relat_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation @ C )
     => ( ( in @ ( ordered_pair @ A @ B ) @ C )
       => ( ( in @ A @ ( relation_dom @ C ) )
          & ( in @ B @ ( relation_rng @ C ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( relation @ C )
       => ( ( in @ ( ordered_pair @ A @ B ) @ C )
         => ( ( in @ A @ ( relation_dom @ C ) )
            & ( in @ B @ ( relation_rng @ C ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t20_relat_1]) ).

thf(zip_derived_cl31,plain,
    in @ ( ordered_pair @ sk__11 @ sk__12 ) @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d5_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( B
            = ( relation_rng @ A ) )
        <=> ! [C: $i] :
              ( ( in @ C @ B )
            <=> ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A ) ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1
       != ( relation_rng @ X0 ) )
      | ( in @ X2 @ X1 )
      | ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d5_relat_1]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i] :
      ( ~ ( relation @ sk__13 )
      | ( in @ sk__12 @ X0 )
      | ( X0
       != ( relation_rng @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl15]) ).

thf(zip_derived_cl29,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i] :
      ( ( in @ sk__12 @ X0 )
      | ( X0
       != ( relation_rng @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl29]) ).

thf(zip_derived_cl31_001,plain,
    in @ ( ordered_pair @ sk__11 @ sk__12 ) @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d4_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( B
            = ( relation_dom @ A ) )
        <=> ! [C: $i] :
              ( ( in @ C @ B )
            <=> ? [D: $i] : ( in @ ( ordered_pair @ C @ D ) @ A ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1
       != ( relation_dom @ X0 ) )
      | ( in @ X2 @ X1 )
      | ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d4_relat_1]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ( ~ ( relation @ sk__13 )
      | ( in @ sk__11 @ X0 )
      | ( X0
       != ( relation_dom @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl11]) ).

thf(zip_derived_cl29_002,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i] :
      ( ( in @ sk__11 @ X0 )
      | ( X0
       != ( relation_dom @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl29]) ).

thf(zip_derived_cl30,plain,
    ( ~ ( in @ sk__11 @ ( relation_dom @ sk__13 ) )
    | ~ ( in @ sk__12 @ ( relation_rng @ sk__13 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66,plain,
    ( ( ( relation_dom @ sk__13 )
     != ( relation_dom @ sk__13 ) )
    | ~ ( in @ sk__12 @ ( relation_rng @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl30]) ).

thf(zip_derived_cl68,plain,
    ~ ( in @ sk__12 @ ( relation_rng @ sk__13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl82,plain,
    ( ( relation_rng @ sk__13 )
   != ( relation_rng @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl68]) ).

thf(zip_derived_cl84,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl82]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.19  % Problem  : SEU177+2 : TPTP v9.2.0. Released v3.3.0.
% 0.10/0.24  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.B5CUgOVQ3A true
% 0.11/0.49  % Computer : n008.cluster.edu
% 0.11/0.49  % Model    : x86_64 x86_64
% 0.11/0.49  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.49  % Memory   : 8042.1875MB
% 0.11/0.49  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.49  % CPULimit : 300
% 0.11/0.49  % WCLimit  : 300
% 0.11/0.49  % DateTime : Wed Oct  1 16:09:38 EDT 2025
% 0.11/0.49  % CPUTime  : 
% 0.11/0.49  % Running portfolio for 300 s
% 0.11/0.49  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.51  % Number of cores: 8
% 0.11/0.52  % Python version: Python 3.6.8
% 0.11/0.52  % Running in FO mode
% 0.30/0.81  % Total configuration time : 435
% 0.30/0.81  % Estimated wc time : 1092
% 0.30/0.81  % Estimated cpu time (7 cpus) : 156.0
% 0.30/0.91  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.30/0.92  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.30/0.92  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.30/0.95  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.30/1.00  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.30/1.02  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.30/1.03  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.30/1.15  % Solved by fo/fo4.sh.
% 0.30/1.15  % done 42 iterations in 0.036s
% 0.30/1.15  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.30/1.15  % SZS output start Refutation
% See solution above
% 0.30/1.15  
% 0.30/1.15  
% 0.30/1.15  % Terminating...
% 2.02/1.31  % Runner terminated.
% 2.02/1.34  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------