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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU180+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.D2JK6t9nfz true

% Computer : n018.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 7.40s 1.64s
% Output   : Refutation 7.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   40 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   86 (  20 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  270 (  37   ~;  29   |;   2   &; 187   @)
%                                         (   6 <=>;   7  =>;   2  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 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   :   49 (   0   ^;  47   !;   2   ?;  49   :)

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

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

thf(sk__39_type,type,
    sk__39: $i ).

thf(relation_field_type,type,
    relation_field: $i > $i ).

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

thf(sk__40_type,type,
    sk__40: $i ).

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

thf(sk__38_type,type,
    sk__38: $i ).

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

thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

thf(t30_relat_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation @ C )
     => ( ( in @ ( ordered_pair @ A @ B ) @ C )
       => ( ( in @ A @ ( relation_field @ C ) )
          & ( in @ B @ ( relation_field @ C ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( relation @ C )
       => ( ( in @ ( ordered_pair @ A @ B ) @ C )
         => ( ( in @ A @ ( relation_field @ C ) )
            & ( in @ B @ ( relation_field @ C ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t30_relat_1]) ).

thf(zip_derived_cl195,plain,
    ( ~ ( in @ sk__38 @ ( relation_field @ sk__40 ) )
    | ~ ( in @ sk__39 @ ( relation_field @ sk__40 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl257,plain,
    ( ~ ( in @ sk__39 @ ( relation_field @ sk__40 ) )
   <= ~ ( in @ sk__39 @ ( relation_field @ sk__40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(d6_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( relation_field @ A )
        = ( set_union2 @ ( relation_dom @ A ) @ ( relation_rng @ A ) ) ) ) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i] :
      ( ( ( relation_field @ X0 )
        = ( set_union2 @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d6_relat_1]) ).

thf(zip_derived_cl196,plain,
    in @ ( ordered_pair @ sk__38 @ sk__39 ) @ sk__40,
    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_cl65,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_cl1678,plain,
    ! [X0: $i] :
      ( ( X0
       != ( relation_dom @ sk__40 ) )
      | ( in @ sk__38 @ X0 )
      | ~ ( relation @ sk__40 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl65]) ).

thf(zip_derived_cl194,plain,
    relation @ sk__40,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1680,plain,
    ! [X0: $i] :
      ( ( X0
       != ( relation_dom @ sk__40 ) )
      | ( in @ sk__38 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl194]) ).

thf(zip_derived_cl1681,plain,
    in @ sk__38 @ ( relation_dom @ sk__40 ),
    inference(eq_res,[status(thm)],[zip_derived_cl1680]) ).

thf(d2_xboole_0,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C
        = ( set_union2 @ A @ B ) )
    <=> ! [D: $i] :
          ( ( in @ D @ C )
        <=> ( ( in @ D @ A )
            | ( in @ D @ B ) ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ( X2
       != ( set_union2 @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[d2_xboole_0]) ).

thf(zip_derived_cl1724,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ sk__38 @ X0 )
      | ( X0
       != ( set_union2 @ ( relation_dom @ sk__40 ) @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1681,zip_derived_cl40]) ).

thf(zip_derived_cl2444,plain,
    ! [X0: $i] :
      ( ~ ( relation @ sk__40 )
      | ( in @ sk__38 @ X0 )
      | ( X0
       != ( relation_field @ sk__40 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl1724]) ).

thf(zip_derived_cl194_001,plain,
    relation @ sk__40,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2445,plain,
    ! [X0: $i] :
      ( ( in @ sk__38 @ X0 )
      | ( X0
       != ( relation_field @ sk__40 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2444,zip_derived_cl194]) ).

thf(zip_derived_cl2450,plain,
    in @ sk__38 @ ( relation_field @ sk__40 ),
    inference(eq_res,[status(thm)],[zip_derived_cl2445]) ).

thf(zip_derived_cl258,plain,
    ( ~ ( in @ sk__38 @ ( relation_field @ sk__40 ) )
   <= ~ ( in @ sk__38 @ ( relation_field @ sk__40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf('0',plain,
    in @ sk__38 @ ( relation_field @ sk__40 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2450,zip_derived_cl258]) ).

thf('1',plain,
    ( ~ ( in @ sk__39 @ ( relation_field @ sk__40 ) )
    | ~ ( in @ sk__38 @ ( relation_field @ sk__40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf('2',plain,
    ~ ( in @ sk__39 @ ( relation_field @ sk__40 ) ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl2482,plain,
    ~ ( in @ sk__39 @ ( relation_field @ sk__40 ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl257,'2']) ).

thf(zip_derived_cl85_002,plain,
    ! [X0: $i] :
      ( ( ( relation_field @ X0 )
        = ( set_union2 @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d6_relat_1]) ).

thf(zip_derived_cl196_003,plain,
    in @ ( ordered_pair @ sk__38 @ sk__39 ) @ sk__40,
    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_cl82,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_cl2342,plain,
    ! [X0: $i] :
      ( ( X0
       != ( relation_rng @ sk__40 ) )
      | ( in @ sk__39 @ X0 )
      | ~ ( relation @ sk__40 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl82]) ).

thf(zip_derived_cl194_004,plain,
    relation @ sk__40,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2345,plain,
    ! [X0: $i] :
      ( ( X0
       != ( relation_rng @ sk__40 ) )
      | ( in @ sk__39 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2342,zip_derived_cl194]) ).

thf(zip_derived_cl2358,plain,
    in @ sk__39 @ ( relation_rng @ sk__40 ),
    inference(eq_res,[status(thm)],[zip_derived_cl2345]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ( X2
       != ( set_union2 @ X3 @ X1 ) ) ),
    inference(cnf,[status(esa)],[d2_xboole_0]) ).

thf(zip_derived_cl2365,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ sk__39 @ X0 )
      | ( X0
       != ( set_union2 @ X1 @ ( relation_rng @ sk__40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2358,zip_derived_cl39]) ).

thf(zip_derived_cl3135,plain,
    ! [X0: $i] :
      ( ~ ( relation @ sk__40 )
      | ( in @ sk__39 @ X0 )
      | ( X0
       != ( relation_field @ sk__40 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl2365]) ).

thf(zip_derived_cl194_005,plain,
    relation @ sk__40,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3137,plain,
    ! [X0: $i] :
      ( ( in @ sk__39 @ X0 )
      | ( X0
       != ( relation_field @ sk__40 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3135,zip_derived_cl194]) ).

thf(zip_derived_cl3138,plain,
    in @ sk__39 @ ( relation_field @ sk__40 ),
    inference(eq_res,[status(thm)],[zip_derived_cl3137]) ).

thf(zip_derived_cl3139,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2482,zip_derived_cl3138]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : SEU180+2 : TPTP v9.2.0. Released v3.3.0.
% 0.09/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.D2JK6t9nfz true
% 0.12/0.34  % Computer : n018.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 16:06:08 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.50/0.61  % Total configuration time : 435
% 0.50/0.61  % Estimated wc time : 1092
% 0.50/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.40/1.63  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 7.40/1.64  % Solved by fo/fo1_av.sh.
% 7.40/1.64  % done 1058 iterations in 0.891s
% 7.40/1.64  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.40/1.64  % SZS output start Refutation
% See solution above
% 7.40/1.64  
% 7.40/1.64  
% 7.40/1.64  % Terminating...
% 7.93/1.72  % Runner terminated.
% 7.93/1.73  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------