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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU186+1 : 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.ewmt4QPTDs true

% Computer : n012.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 04:53:45 PM UTC 2025

% Result   : Theorem 0.59s 0.78s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   37 (   9 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   93 (  15   ~;   9   |;   1   &;  61   @)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^;  26   !;   1   ?;  27   :)

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

thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(sk__3_type,type,
    sk__3: $i > $i ).

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

thf(element_type,type,
    element: $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i > $i ).

thf(empty_set_type,type,
    empty_set: $i ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(empty_type,type,
    empty: $i > $o ).

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

thf(existence_m1_subset_1,axiom,
    ! [A: $i] :
    ? [B: $i] : ( element @ B @ A ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] : ( element @ ( sk__3 @ X0 ) @ X0 ),
    inference(cnf,[status(esa)],[existence_m1_subset_1]) ).

thf(t2_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ B )
     => ( ( empty @ B )
        | ( in @ A @ B ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t2_subset]) ).

thf(zip_derived_cl105,plain,
    ! [X0: $i] :
      ( ( empty @ X0 )
      | ( in @ ( sk__3 @ X0 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl26]) ).

thf(t56_relat_1,conjecture,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ! [B: $i,C: $i] :
            ~ ( in @ ( ordered_pair @ B @ C ) @ A )
       => ( A = empty_set ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( relation @ A )
       => ( ! [B: $i,C: $i] :
              ~ ( in @ ( ordered_pair @ B @ C ) @ A )
         => ( A = empty_set ) ) ),
    inference('cnf.neg',[status(esa)],[t56_relat_1]) ).

thf(zip_derived_cl27,plain,
    relation @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d1_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
    <=> ! [B: $i] :
          ~ ( ( in @ B @ A )
            & ! [C: $i,D: $i] :
                ( B
               != ( ordered_pair @ C @ D ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
        = ( ordered_pair @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) ) )
      | ~ ( in @ X0 @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d1_relat_1]) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__8 )
      | ( X0
        = ( ordered_pair @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl3]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl210,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__8 )
      | ~ ( in @ X0 @ sk__8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl29]) ).

thf(zip_derived_cl216,plain,
    ! [X0: $i] :
      ~ ( in @ X0 @ sk__8 ),
    inference(simplify,[status(thm)],[zip_derived_cl210]) ).

thf(zip_derived_cl217,plain,
    empty @ sk__8,
    inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl216]) ).

thf(t6_boole,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( A = empty_set ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ~ ( empty @ X0 ) ),
    inference(cnf,[status(esa)],[t6_boole]) ).

thf(zip_derived_cl220,plain,
    sk__8 = empty_set,
    inference('s_sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl30]) ).

thf(zip_derived_cl28,plain,
    sk__8 != empty_set,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl223,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl220,zip_derived_cl28]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU186+1 : TPTP v9.2.0. Released v3.3.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ewmt4QPTDs true
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 16:11:23 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
% 0.56/0.66  % Total configuration time : 435
% 0.56/0.66  % Estimated wc time : 1092
% 0.56/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.78  % Solved by fo/fo6_bce.sh.
% 0.59/0.78  % BCE start: 33
% 0.59/0.78  % BCE eliminated: 0
% 0.59/0.78  % PE start: 33
% 0.59/0.78  logic: eq
% 0.59/0.78  % PE eliminated: 3
% 0.59/0.78  % done 56 iterations in 0.026s
% 0.59/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.78  % SZS output start Refutation
% See solution above
% 0.59/0.78  
% 0.59/0.78  
% 0.59/0.78  % Terminating...
% 1.70/0.87  % Runner terminated.
% 1.70/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------