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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU373+1 : 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.CfP7sTNwUl true

% Computer : n001.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 04:54:24 PM UTC 2025

% Result   : Theorem 0.60s 0.91s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   78 (   1 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  230 (  28   ~;  26   |;   3   &; 156   @)
%                                         (   2 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   4 con; 0-4 aty)
%            Number of variables   :   28 (   0   ^;  28   !;   0   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__19_type,type,
    sk__19: $i ).

thf(subnetstr_type,type,
    subnetstr: $i > $i > $i > $o ).

thf(rel_str_type,type,
    rel_str: $i > $o ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(the_carrier_type,type,
    the_carrier: $i > $i ).

thf(one_sorted_str_type,type,
    one_sorted_str: $i > $o ).

thf(subrelstr_type,type,
    subrelstr: $i > $i > $o ).

thf(the_mapping_type,type,
    the_mapping: $i > $i > $i ).

thf(relation_dom_restr_as_relation_of_type,type,
    relation_dom_restr_as_relation_of: $i > $i > $i > $i > $i ).

thf(the_InternalRel_type,type,
    the_InternalRel: $i > $i ).

thf(sk__18_type,type,
    sk__18: $i ).

thf(sk__20_type,type,
    sk__20: $i ).

thf(net_str_type,type,
    net_str: $i > $i > $o ).

thf(t19_yellow_6,conjecture,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ! [B: $i] :
          ( ( net_str @ B @ A )
         => ! [C: $i] :
              ( ( subnetstr @ C @ A @ B )
             => ( subset @ ( the_carrier @ C ) @ ( the_carrier @ B ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( one_sorted_str @ A )
       => ! [B: $i] :
            ( ( net_str @ B @ A )
           => ! [C: $i] :
                ( ( subnetstr @ C @ A @ B )
               => ( subset @ ( the_carrier @ C ) @ ( the_carrier @ B ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t19_yellow_6]) ).

thf(zip_derived_cl80,plain,
    ~ ( subset @ ( the_carrier @ sk__20 ) @ ( the_carrier @ sk__19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl79,plain,
    subnetstr @ sk__20 @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d8_yellow_6,axiom,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ! [B: $i] :
          ( ( net_str @ B @ A )
         => ! [C: $i] :
              ( ( net_str @ C @ A )
             => ( ( subnetstr @ C @ A @ B )
              <=> ( ( subrelstr @ C @ B )
                  & ( ( the_mapping @ A @ C )
                    = ( relation_dom_restr_as_relation_of @ ( the_carrier @ B ) @ ( the_carrier @ A ) @ ( the_mapping @ A @ B ) @ ( the_carrier @ C ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( net_str @ X0 @ X1 )
      | ~ ( subnetstr @ X2 @ X1 @ X0 )
      | ( subrelstr @ X2 @ X0 )
      | ~ ( net_str @ X2 @ X1 )
      | ~ ( one_sorted_str @ X1 ) ),
    inference(cnf,[status(esa)],[d8_yellow_6]) ).

thf(zip_derived_cl424,plain,
    ( ~ ( one_sorted_str @ sk__18 )
    | ~ ( net_str @ sk__20 @ sk__18 )
    | ( subrelstr @ sk__20 @ sk__19 )
    | ~ ( net_str @ sk__19 @ sk__18 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl10]) ).

thf(d13_yellow_0,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( rel_str @ B )
         => ( ( subrelstr @ B @ A )
          <=> ( ( subset @ ( the_carrier @ B ) @ ( the_carrier @ A ) )
              & ( subset @ ( the_InternalRel @ B ) @ ( the_InternalRel @ A ) ) ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rel_str @ X0 )
      | ~ ( subrelstr @ X0 @ X1 )
      | ( subset @ ( the_carrier @ X0 ) @ ( the_carrier @ X1 ) )
      | ~ ( rel_str @ X1 ) ),
    inference(cnf,[status(esa)],[d13_yellow_0]) ).

thf(zip_derived_cl436,plain,
    ( ~ ( net_str @ sk__19 @ sk__18 )
    | ~ ( net_str @ sk__20 @ sk__18 )
    | ~ ( one_sorted_str @ sk__18 )
    | ~ ( rel_str @ sk__19 )
    | ( subset @ ( the_carrier @ sk__20 ) @ ( the_carrier @ sk__19 ) )
    | ~ ( rel_str @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl424,zip_derived_cl7]) ).

thf(zip_derived_cl81,plain,
    net_str @ sk__19 @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl79_001,plain,
    subnetstr @ sk__20 @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_m1_yellow_6,axiom,
    ! [A: $i,B: $i] :
      ( ( ( one_sorted_str @ A )
        & ( net_str @ B @ A ) )
     => ! [C: $i] :
          ( ( subnetstr @ C @ A @ B )
         => ( net_str @ C @ A ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( one_sorted_str @ X0 )
      | ~ ( net_str @ X1 @ X0 )
      | ( net_str @ X2 @ X0 )
      | ~ ( subnetstr @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m1_yellow_6]) ).

thf(zip_derived_cl426,plain,
    ( ( net_str @ sk__20 @ sk__18 )
    | ~ ( net_str @ sk__19 @ sk__18 )
    | ~ ( one_sorted_str @ sk__18 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl24]) ).

thf(zip_derived_cl81_002,plain,
    net_str @ sk__19 @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78,plain,
    one_sorted_str @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl497,plain,
    net_str @ sk__20 @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl81,zip_derived_cl78]) ).

thf(zip_derived_cl78_003,plain,
    one_sorted_str @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_004,plain,
    net_str @ sk__19 @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_l1_waybel_0,axiom,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ! [B: $i] :
          ( ( net_str @ B @ A )
         => ( rel_str @ B ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( net_str @ X0 @ X1 )
      | ( rel_str @ X0 )
      | ~ ( one_sorted_str @ X1 ) ),
    inference(cnf,[status(esa)],[dt_l1_waybel_0]) ).

thf(zip_derived_cl493,plain,
    ( ( rel_str @ sk__19 )
    | ~ ( one_sorted_str @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl20]) ).

thf(zip_derived_cl78_005,plain,
    one_sorted_str @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl494,plain,
    rel_str @ sk__19,
    inference(demod,[status(thm)],[zip_derived_cl493,zip_derived_cl78]) ).

thf(zip_derived_cl497_006,plain,
    net_str @ sk__20 @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl81,zip_derived_cl78]) ).

thf(zip_derived_cl20_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( net_str @ X0 @ X1 )
      | ( rel_str @ X0 )
      | ~ ( one_sorted_str @ X1 ) ),
    inference(cnf,[status(esa)],[dt_l1_waybel_0]) ).

thf(zip_derived_cl498,plain,
    ( ( rel_str @ sk__20 )
    | ~ ( one_sorted_str @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl20]) ).

thf(zip_derived_cl78_008,plain,
    one_sorted_str @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl499,plain,
    rel_str @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl78]) ).

thf(zip_derived_cl581,plain,
    subset @ ( the_carrier @ sk__20 ) @ ( the_carrier @ sk__19 ),
    inference(demod,[status(thm)],[zip_derived_cl436,zip_derived_cl81,zip_derived_cl497,zip_derived_cl78,zip_derived_cl494,zip_derived_cl499]) ).

thf(zip_derived_cl582,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl581]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : SEU373+1 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CfP7sTNwUl true
% 0.14/0.37  % Computer : n001.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Wed Oct  1 16:02:38 EDT 2025
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  % Running portfolio for 300 s
% 0.14/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.59/0.74  % Total configuration time : 435
% 0.59/0.74  % Estimated wc time : 1092
% 0.59/0.74  % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.85  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.87  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.91  % Solved by fo/fo6_bce.sh.
% 0.60/0.91  % BCE start: 91
% 0.60/0.91  % BCE eliminated: 3
% 0.60/0.91  % PE start: 88
% 0.60/0.91  logic: eq
% 0.60/0.91  % PE eliminated: 0
% 0.60/0.91  % done 92 iterations in 0.047s
% 0.60/0.91  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.91  % SZS output start Refutation
% See solution above
% 0.60/0.91  
% 0.60/0.91  
% 0.60/0.91  % Terminating...
% 0.62/0.97  % Runner terminated.
% 0.62/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------