TSTP Solution File: SEU382+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU382+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c6RDZcKFYx 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 Aug 31 19:12:32 EDT 2023

% Result   : Theorem 1.47s 0.86s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   43 (  14 unt;  16 typ;   0 def)
%            Number of atoms       :   51 (  25 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  160 (  16   ~;  13   |;   6   &; 120   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   2 con; 0-3 aty)
%            Number of variables   :   41 (   0   ^;  41   !;   0   ?;  41   :)

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

thf(relation_of2_as_subset_type,type,
    relation_of2_as_subset: $i > $i > $i > $o ).

thf(relation_of2_type,type,
    relation_of2: $i > $i > $i > $o ).

thf(incl_POSet_type,type,
    incl_POSet: $i > $i ).

thf(rel_str_of_type,type,
    rel_str_of: $i > $i > $i ).

thf(strict_rel_str_type,type,
    strict_rel_str: $i > $o ).

thf(boole_POSet_type,type,
    boole_POSet: $i > $i ).

thf(v1_partfun1_type,type,
    v1_partfun1: $i > $i > $i > $o ).

thf(transitive_type,type,
    transitive: $i > $o ).

thf(sk__21_type,type,
    sk__21: $i ).

thf(powerset_type,type,
    powerset: $i > $i ).

thf(inclusion_order_type,type,
    inclusion_order: $i > $i ).

thf(antisymmetric_type,type,
    antisymmetric: $i > $o ).

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

thf(reflexive_type,type,
    reflexive: $i > $o ).

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

thf(t4_waybel_7,conjecture,
    ! [A: $i] :
      ( ( the_carrier @ ( boole_POSet @ A ) )
      = ( powerset @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( the_carrier @ ( boole_POSet @ A ) )
        = ( powerset @ A ) ),
    inference('cnf.neg',[status(esa)],[t4_waybel_7]) ).

thf(zip_derived_cl294,plain,
    ( ( the_carrier @ ( boole_POSet @ sk__21 ) )
   != ( powerset @ sk__21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(abstractness_v1_orders_2,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ( ( strict_rel_str @ A )
       => ( A
          = ( rel_str_of @ ( the_carrier @ A ) @ ( the_InternalRel @ A ) ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ~ ( strict_rel_str @ X0 )
      | ( X0
        = ( rel_str_of @ ( the_carrier @ X0 ) @ ( the_InternalRel @ X0 ) ) )
      | ~ ( rel_str @ X0 ) ),
    inference(cnf,[status(esa)],[abstractness_v1_orders_2]) ).

thf(t4_yellow_1,axiom,
    ! [A: $i] :
      ( ( boole_POSet @ A )
      = ( incl_POSet @ ( powerset @ A ) ) ) ).

thf(zip_derived_cl295,plain,
    ! [X0: $i] :
      ( ( boole_POSet @ X0 )
      = ( incl_POSet @ ( powerset @ X0 ) ) ),
    inference(cnf,[status(esa)],[t4_yellow_1]) ).

thf(redefinition_m2_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation_of2_as_subset @ C @ A @ B )
    <=> ( relation_of2 @ C @ A @ B ) ) ).

thf(zip_derived_cl286,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( relation_of2 @ X0 @ X1 @ X2 )
      | ~ ( relation_of2_as_subset @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).

thf(dt_k1_yellow_1,axiom,
    ! [A: $i] :
      ( ( relation_of2_as_subset @ ( inclusion_order @ A ) @ A @ A )
      & ( v1_partfun1 @ ( inclusion_order @ A ) @ A @ A )
      & ( transitive @ ( inclusion_order @ A ) )
      & ( antisymmetric @ ( inclusion_order @ A ) )
      & ( reflexive @ ( inclusion_order @ A ) ) ) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i] : ( relation_of2_as_subset @ ( inclusion_order @ X0 ) @ X0 @ X0 ),
    inference(cnf,[status(esa)],[dt_k1_yellow_1]) ).

thf(zip_derived_cl510,plain,
    ! [X0: $i] : ( relation_of2 @ ( inclusion_order @ X0 ) @ X0 @ X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl286,zip_derived_cl111]) ).

thf(free_g1_orders_2,axiom,
    ! [A: $i,B: $i] :
      ( ( relation_of2 @ B @ A @ A )
     => ! [C: $i,D: $i] :
          ( ( ( rel_str_of @ A @ B )
            = ( rel_str_of @ C @ D ) )
         => ( ( A = C )
            & ( B = D ) ) ) ) ).

thf(zip_derived_cl192,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( rel_str_of @ X2 @ X3 )
       != ( rel_str_of @ X0 @ X1 ) )
      | ( X2 = X0 )
      | ~ ( relation_of2 @ X3 @ X2 @ X2 ) ),
    inference(cnf,[status(esa)],[free_g1_orders_2]) ).

thf(zip_derived_cl716,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( rel_str_of @ X0 @ ( inclusion_order @ X0 ) )
       != ( rel_str_of @ X2 @ X1 ) )
      | ( X0 = X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl192]) ).

thf(d1_yellow_1,axiom,
    ! [A: $i] :
      ( ( incl_POSet @ A )
      = ( rel_str_of @ A @ ( inclusion_order @ A ) ) ) ).

thf(zip_derived_cl102,plain,
    ! [X0: $i] :
      ( ( incl_POSet @ X0 )
      = ( rel_str_of @ X0 @ ( inclusion_order @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_yellow_1]) ).

thf(zip_derived_cl718,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( incl_POSet @ X0 )
       != ( rel_str_of @ X2 @ X1 ) )
      | ( X0 = X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl102]) ).

thf(zip_derived_cl719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( boole_POSet @ X0 )
       != ( rel_str_of @ X2 @ X1 ) )
      | ( ( powerset @ X0 )
        = X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl295,zip_derived_cl718]) ).

thf(zip_derived_cl731,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rel_str @ X0 )
      | ~ ( strict_rel_str @ X0 )
      | ( ( boole_POSet @ X1 )
       != X0 )
      | ( ( powerset @ X1 )
        = ( the_carrier @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl719]) ).

thf(zip_derived_cl756,plain,
    ! [X0: $i] :
      ( ( ( powerset @ X0 )
        = ( the_carrier @ ( boole_POSet @ X0 ) ) )
      | ~ ( strict_rel_str @ ( boole_POSet @ X0 ) )
      | ~ ( rel_str @ ( boole_POSet @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl731]) ).

thf(dt_k3_yellow_1,axiom,
    ! [A: $i] :
      ( ( rel_str @ ( boole_POSet @ A ) )
      & ( strict_rel_str @ ( boole_POSet @ A ) ) ) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i] : ( strict_rel_str @ ( boole_POSet @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k3_yellow_1]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i] : ( rel_str @ ( boole_POSet @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k3_yellow_1]) ).

thf(zip_derived_cl757,plain,
    ! [X0: $i] :
      ( ( powerset @ X0 )
      = ( the_carrier @ ( boole_POSet @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl756,zip_derived_cl116,zip_derived_cl117]) ).

thf(zip_derived_cl758,plain,
    ( ( powerset @ sk__21 )
   != ( powerset @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl757]) ).

thf(zip_derived_cl759,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl758]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU382+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c6RDZcKFYx 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 Aug 23 12:40:12 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.61  % Total configuration time : 435
% 0.20/0.61  % Estimated wc time : 1092
% 0.20/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.47/0.86  % Solved by fo/fo1_av.sh.
% 1.47/0.86  % done 422 iterations in 0.120s
% 1.47/0.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.47/0.86  % SZS output start Refutation
% See solution above
% 1.47/0.86  
% 1.47/0.86  
% 1.47/0.86  % Terminating...
% 2.23/0.92  % Runner terminated.
% 2.23/0.93  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------