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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU374+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.do2uR4CIc4 true

% Computer : n002.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 0.50s 0.83s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   47 (  26 unt;   0 typ;   0 def)
%            Number of atoms       :  146 (  14 equ;   0 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  488 (  66   ~;  60   |;   8   &; 323   @)
%                                         (   1 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   8 con; 0-4 aty)
%            Number of variables   :   57 (   0   ^;  57   !;   0   ?;  57   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__11_type,type,
    sk__11: $i ).

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

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

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

thf(sk__10_type,type,
    sk__10: $i ).

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

thf(related_type,type,
    related: $i > $i > $i > $o ).

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

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

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

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

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

thf(sk__9_type,type,
    sk__9: $i ).

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

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

thf(sk__6_type,type,
    sk__6: $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(t20_yellow_6,conjecture,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ! [B: $i] :
          ( ( net_str @ B @ A )
         => ! [C: $i] :
              ( ( subnetstr @ C @ A @ B )
             => ! [D: $i] :
                  ( ( element @ D @ ( the_carrier @ B ) )
                 => ! [E: $i] :
                      ( ( element @ E @ ( the_carrier @ B ) )
                     => ! [F: $i] :
                          ( ( element @ F @ ( the_carrier @ C ) )
                         => ! [G: $i] :
                              ( ( element @ G @ ( the_carrier @ C ) )
                             => ( ( ( D = F )
                                  & ( E = G )
                                  & ( related @ C @ F @ G ) )
                               => ( related @ B @ D @ E ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( one_sorted_str @ A )
       => ! [B: $i] :
            ( ( net_str @ B @ A )
           => ! [C: $i] :
                ( ( subnetstr @ C @ A @ B )
               => ! [D: $i] :
                    ( ( element @ D @ ( the_carrier @ B ) )
                   => ! [E: $i] :
                        ( ( element @ E @ ( the_carrier @ B ) )
                       => ! [F: $i] :
                            ( ( element @ F @ ( the_carrier @ C ) )
                           => ! [G: $i] :
                                ( ( element @ G @ ( the_carrier @ C ) )
                               => ( ( ( D = F )
                                    & ( E = G )
                                    & ( related @ C @ F @ G ) )
                                 => ( related @ B @ D @ E ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t20_yellow_6]) ).

thf(zip_derived_cl23,plain,
    element @ sk__11 @ ( the_carrier @ sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    element @ sk__9 @ ( the_carrier @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22,plain,
    sk__9 = sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    element @ sk__11 @ ( the_carrier @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl22]) ).

thf(zip_derived_cl17,plain,
    element @ sk__10 @ ( the_carrier @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    sk__10 = sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28,plain,
    element @ sk__12 @ ( the_carrier @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl20]) ).

thf(t60_yellow_0,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( subrelstr @ B @ A )
         => ! [C: $i] :
              ( ( element @ C @ ( the_carrier @ A ) )
             => ! [D: $i] :
                  ( ( element @ D @ ( the_carrier @ A ) )
                 => ! [E: $i] :
                      ( ( element @ E @ ( the_carrier @ B ) )
                     => ! [F: $i] :
                          ( ( element @ F @ ( the_carrier @ B ) )
                         => ( ( ( E = C )
                              & ( F = D )
                              & ( related @ B @ E @ F ) )
                           => ( related @ A @ C @ D ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( subrelstr @ X0 @ X1 )
      | ~ ( element @ X2 @ ( the_carrier @ X1 ) )
      | ~ ( element @ X3 @ ( the_carrier @ X0 ) )
      | ~ ( related @ X0 @ X4 @ X3 )
      | ( X3 != X2 )
      | ( related @ X1 @ X5 @ X2 )
      | ( X4 != X5 )
      | ~ ( element @ X4 @ ( the_carrier @ X0 ) )
      | ~ ( element @ X5 @ ( the_carrier @ X1 ) )
      | ~ ( rel_str @ X1 ) ),
    inference(cnf,[status(esa)],[t60_yellow_0]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( rel_str @ X0 )
      | ~ ( element @ X1 @ ( the_carrier @ X0 ) )
      | ~ ( element @ X3 @ ( the_carrier @ X2 ) )
      | ( X3 != X1 )
      | ( related @ X0 @ X1 @ X4 )
      | ~ ( related @ X2 @ X3 @ X4 )
      | ~ ( element @ X4 @ ( the_carrier @ X2 ) )
      | ~ ( element @ X4 @ ( the_carrier @ X0 ) )
      | ~ ( subrelstr @ X2 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( subrelstr @ X1 @ X0 )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ~ ( element @ X2 @ ( the_carrier @ X1 ) )
      | ~ ( related @ X1 @ X3 @ X2 )
      | ( related @ X0 @ X3 @ X2 )
      | ~ ( element @ X3 @ ( the_carrier @ X1 ) )
      | ~ ( element @ X3 @ ( the_carrier @ X0 ) )
      | ~ ( rel_str @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rel_str @ sk__7 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
      | ~ ( element @ X0 @ ( the_carrier @ X1 ) )
      | ( related @ sk__7 @ X0 @ sk__12 )
      | ~ ( related @ X1 @ X0 @ sk__12 )
      | ~ ( element @ sk__12 @ ( the_carrier @ X1 ) )
      | ~ ( subrelstr @ X1 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl58]) ).

thf(zip_derived_cl25,plain,
    net_str @ sk__7 @ sk__6,
    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_cl4,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_cl32,plain,
    ( ~ ( one_sorted_str @ sk__6 )
    | ( rel_str @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl4]) ).

thf(zip_derived_cl15,plain,
    one_sorted_str @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    rel_str @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl15]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
      | ~ ( element @ X0 @ ( the_carrier @ X1 ) )
      | ( related @ sk__7 @ X0 @ sk__12 )
      | ~ ( related @ X1 @ X0 @ sk__12 )
      | ~ ( element @ sk__12 @ ( the_carrier @ X1 ) )
      | ~ ( subrelstr @ X1 @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl33]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i] :
      ( ~ ( subrelstr @ X0 @ sk__7 )
      | ~ ( element @ sk__12 @ ( the_carrier @ X0 ) )
      | ~ ( related @ X0 @ sk__11 @ sk__12 )
      | ( related @ sk__7 @ sk__11 @ sk__12 )
      | ~ ( element @ sk__11 @ ( the_carrier @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl73]) ).

thf(zip_derived_cl21,plain,
    ~ ( related @ sk__7 @ sk__9 @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20_001,plain,
    sk__10 = sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    ~ ( related @ sk__7 @ sk__9 @ sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl20]) ).

thf(zip_derived_cl22_002,plain,
    sk__9 = sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    ~ ( related @ sk__7 @ sk__11 @ sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl22]) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i] :
      ( ~ ( element @ sk__11 @ ( the_carrier @ X0 ) )
      | ~ ( related @ X0 @ sk__11 @ sk__12 )
      | ~ ( element @ sk__12 @ ( the_carrier @ X0 ) )
      | ~ ( subrelstr @ X0 @ sk__7 ) ),
    inference(clc,[status(thm)],[zip_derived_cl112,zip_derived_cl27]) ).

thf(zip_derived_cl117,plain,
    ( ~ ( subrelstr @ sk__8 @ sk__7 )
    | ~ ( element @ sk__12 @ ( the_carrier @ sk__8 ) )
    | ~ ( related @ sk__8 @ sk__11 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl116]) ).

thf(zip_derived_cl16,plain,
    subnetstr @ sk__8 @ sk__6 @ sk__7,
    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_cl0,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_cl30,plain,
    ( ~ ( one_sorted_str @ sk__6 )
    | ~ ( net_str @ sk__8 @ sk__6 )
    | ( subrelstr @ sk__8 @ sk__7 )
    | ~ ( net_str @ sk__7 @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl0]) ).

thf(zip_derived_cl15_003,plain,
    one_sorted_str @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25_004,plain,
    net_str @ sk__7 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,plain,
    ( ~ ( net_str @ sk__8 @ sk__6 )
    | ( subrelstr @ sk__8 @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl15,zip_derived_cl25]) ).

thf(zip_derived_cl16_005,plain,
    subnetstr @ sk__8 @ sk__6 @ sk__7,
    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_cl5,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_cl38,plain,
    ( ( net_str @ sk__8 @ sk__6 )
    | ~ ( net_str @ sk__7 @ sk__6 )
    | ~ ( one_sorted_str @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl5]) ).

thf(zip_derived_cl25_006,plain,
    net_str @ sk__7 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15_007,plain,
    one_sorted_str @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    net_str @ sk__8 @ sk__6,
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl25,zip_derived_cl15]) ).

thf(zip_derived_cl40,plain,
    subrelstr @ sk__8 @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl39]) ).

thf(zip_derived_cl18,plain,
    element @ sk__12 @ ( the_carrier @ sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    related @ sk__8 @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl40,zip_derived_cl18,zip_derived_cl19]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEU374+1 : TPTP v9.2.0. Released v3.3.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.do2uR4CIc4 true
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 16:13:53 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
% 0.46/0.60  % Total configuration time : 435
% 0.46/0.60  % Estimated wc time : 1092
% 0.46/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.83  % Solved by fo/fo4.sh.
% 0.50/0.83  % done 64 iterations in 0.053s
% 0.50/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/0.83  % SZS output start Refutation
% See solution above
% 0.50/0.83  
% 0.50/0.83  
% 0.50/0.83  % Terminating...
% 1.53/0.94  % Runner terminated.
% 1.54/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------