TSTP Solution File: SEU373+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU373+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Xs1NVE0TAF true

% Computer : n029.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 Aug 31 19:12:29 EDT 2023

% Result   : Theorem 9.81s 2.07s
% Output   : Refutation 9.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   47 (  17 unt;  13 typ;   0 def)
%            Number of atoms       :   78 (   1 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  224 (  28   ~;  24   |;   3   &; 152   @)
%                                         (   2 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   4 con; 0-4 aty)
%            Number of variables   :   28 (   0   ^;  28   !;   0   ?;  28   :)

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

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

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

thf(sk__473_type,type,
    sk__473: $i ).

thf(net_str_type,type,
    net_str: $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(sk__472_type,type,
    sk__472: $i ).

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

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

thf(sk__474_type,type,
    sk__474: $i ).

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

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

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_cl2234,plain,
    subnetstr @ sk__474 @ sk__472 @ sk__473,
    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_cl664,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_cl13763,plain,
    ( ~ ( one_sorted_str @ sk__472 )
    | ~ ( net_str @ sk__474 @ sk__472 )
    | ( subrelstr @ sk__474 @ sk__473 )
    | ~ ( net_str @ sk__473 @ sk__472 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2234,zip_derived_cl664]) ).

thf(zip_derived_cl2233,plain,
    one_sorted_str @ sk__472,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2234_001,plain,
    subnetstr @ sk__474 @ sk__472 @ sk__473,
    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_cl795,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_cl13765,plain,
    ( ( net_str @ sk__474 @ sk__472 )
    | ~ ( net_str @ sk__473 @ sk__472 )
    | ~ ( one_sorted_str @ sk__472 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2234,zip_derived_cl795]) ).

thf(zip_derived_cl2236,plain,
    net_str @ sk__473 @ sk__472,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2233_002,plain,
    one_sorted_str @ sk__472,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20971,plain,
    net_str @ sk__474 @ sk__472,
    inference(demod,[status(thm)],[zip_derived_cl13765,zip_derived_cl2236,zip_derived_cl2233]) ).

thf(zip_derived_cl2236_003,plain,
    net_str @ sk__473 @ sk__472,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21470,plain,
    subrelstr @ sk__474 @ sk__473,
    inference(demod,[status(thm)],[zip_derived_cl13763,zip_derived_cl2233,zip_derived_cl20971,zip_derived_cl2236]) ).

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_cl236,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_cl21471,plain,
    ( ~ ( rel_str @ sk__474 )
    | ( subset @ ( the_carrier @ sk__474 ) @ ( the_carrier @ sk__473 ) )
    | ~ ( rel_str @ sk__473 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21470,zip_derived_cl236]) ).

thf(zip_derived_cl2235,plain,
    ~ ( subset @ ( the_carrier @ sk__474 ) @ ( the_carrier @ sk__473 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21503,plain,
    ( ~ ( rel_str @ sk__473 )
    | ~ ( rel_str @ sk__474 ) ),
    inference(clc,[status(thm)],[zip_derived_cl21471,zip_derived_cl2235]) ).

thf(zip_derived_cl2236_004,plain,
    net_str @ sk__473 @ sk__472,
    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_cl787,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_cl22069,plain,
    ( ( rel_str @ sk__473 )
    | ~ ( one_sorted_str @ sk__472 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2236,zip_derived_cl787]) ).

thf(zip_derived_cl2233_005,plain,
    one_sorted_str @ sk__472,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22071,plain,
    rel_str @ sk__473,
    inference(demod,[status(thm)],[zip_derived_cl22069,zip_derived_cl2233]) ).

thf(zip_derived_cl22073,plain,
    ~ ( rel_str @ sk__474 ),
    inference(demod,[status(thm)],[zip_derived_cl21503,zip_derived_cl22071]) ).

thf(zip_derived_cl20971_006,plain,
    net_str @ sk__474 @ sk__472,
    inference(demod,[status(thm)],[zip_derived_cl13765,zip_derived_cl2236,zip_derived_cl2233]) ).

thf(zip_derived_cl787_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_cl22070,plain,
    ( ( rel_str @ sk__474 )
    | ~ ( one_sorted_str @ sk__472 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20971,zip_derived_cl787]) ).

thf(zip_derived_cl2233_008,plain,
    one_sorted_str @ sk__472,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22072,plain,
    rel_str @ sk__474,
    inference(demod,[status(thm)],[zip_derived_cl22070,zip_derived_cl2233]) ).

thf(zip_derived_cl22084,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl22073,zip_derived_cl22072]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU373+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Xs1NVE0TAF true
% 0.13/0.35  % Computer : n029.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 Aug 23 19:34:07 EDT 2023
% 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
% 0.13/0.36  % Running in FO mode
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.10/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.10/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.81/2.07  % Solved by fo/fo6_bce.sh.
% 9.81/2.07  % BCE start: 2563
% 9.81/2.07  % BCE eliminated: 25
% 9.81/2.07  % PE start: 2538
% 9.81/2.07  logic: eq
% 9.81/2.07  % PE eliminated: 203
% 9.81/2.07  % done 983 iterations in 1.345s
% 9.81/2.07  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.81/2.07  % SZS output start Refutation
% See solution above
% 9.81/2.07  
% 9.81/2.07  
% 9.81/2.07  % Terminating...
% 9.81/2.19  % Runner terminated.
% 9.81/2.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------