TSTP Solution File: SEU102+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU102+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wddyLMOrGf true

% Computer : n020.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 19:10:28 EDT 2023

% Result   : Theorem 0.52s 0.81s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   36 (  10 unt;   9 typ;   0 def)
%            Number of atoms       :   77 (   6 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  275 (  39   ~;  34   |;  10   &; 186   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   42 (   0   ^;  42   !;   0   ?;  42   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__10_type,type,
    sk__10: $i ).

thf(prebool_difference_type,type,
    prebool_difference: $i > $i > $i > $i ).

thf(set_intersection2_type,type,
    set_intersection2: $i > $i > $i ).

thf(set_difference_type,type,
    set_difference: $i > $i > $i ).

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

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

thf(preboolean_type,type,
    preboolean: $i > $o ).

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

thf(sk__11_type,type,
    sk__11: $i ).

thf(t13_finsub_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( empty @ C )
        & ( preboolean @ C ) )
     => ( ( ( element @ A @ C )
          & ( element @ B @ C ) )
       => ( element @ ( set_intersection2 @ A @ B ) @ C ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ~ ( empty @ C )
          & ( preboolean @ C ) )
       => ( ( ( element @ A @ C )
            & ( element @ B @ C ) )
         => ( element @ ( set_intersection2 @ A @ B ) @ C ) ) ),
    inference('cnf.neg',[status(esa)],[t13_finsub_1]) ).

thf(zip_derived_cl48,plain,
    ~ ( element @ ( set_intersection2 @ sk__10 @ sk__11 ) @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    preboolean @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(redefinition_k2_finsub_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( empty @ A )
        & ( preboolean @ A )
        & ( element @ B @ A )
        & ( element @ C @ A ) )
     => ( ( prebool_difference @ A @ B @ C )
        = ( set_difference @ B @ C ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ~ ( preboolean @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X2 @ X1 )
      | ( ( prebool_difference @ X1 @ X0 @ X2 )
        = ( set_difference @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k2_finsub_1]) ).

thf(zip_derived_cl252,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( prebool_difference @ sk__12 @ X0 @ X1 )
        = ( set_difference @ X0 @ X1 ) )
      | ~ ( element @ X1 @ sk__12 )
      | ( empty @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl47,zip_derived_cl44]) ).

thf(zip_derived_cl46,plain,
    ~ ( empty @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl393,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( prebool_difference @ sk__12 @ X0 @ X1 )
        = ( set_difference @ X0 @ X1 ) )
      | ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl46]) ).

thf(zip_derived_cl47_001,plain,
    preboolean @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k2_finsub_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( empty @ A )
        & ( preboolean @ A )
        & ( element @ B @ A )
        & ( element @ C @ A ) )
     => ( element @ ( prebool_difference @ A @ B @ C ) @ A ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ~ ( preboolean @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X2 @ X1 )
      | ( element @ ( prebool_difference @ X1 @ X0 @ X2 ) @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k2_finsub_1]) ).

thf(zip_derived_cl251,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( prebool_difference @ sk__12 @ X0 @ X1 ) @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ( empty @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl47,zip_derived_cl7]) ).

thf(zip_derived_cl46_002,plain,
    ~ ( empty @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl401,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( prebool_difference @ sk__12 @ X0 @ X1 ) @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl251,zip_derived_cl46]) ).

thf(zip_derived_cl404,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( set_difference @ X1 @ X0 ) @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ X0 @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl393,zip_derived_cl401]) ).

thf(zip_derived_cl406,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ( element @ ( set_difference @ X1 @ X0 ) @ sk__12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl404]) ).

thf(t48_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( set_difference @ A @ ( set_difference @ A @ B ) )
      = ( set_intersection2 @ A @ B ) ) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_difference @ X0 @ ( set_difference @ X0 @ X1 ) )
      = ( set_intersection2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t48_xboole_1]) ).

thf(zip_derived_cl406_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ( element @ ( set_difference @ X1 @ X0 ) @ sk__12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl404]) ).

thf(zip_derived_cl414,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( set_intersection2 @ X1 @ X0 ) @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ ( set_difference @ X1 @ X0 ) @ sk__12 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl406]) ).

thf(zip_derived_cl446,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ X0 @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ( element @ ( set_intersection2 @ X1 @ X0 ) @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl406,zip_derived_cl414]) ).

thf(zip_derived_cl451,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( set_intersection2 @ X1 @ X0 ) @ sk__12 )
      | ~ ( element @ X0 @ sk__12 )
      | ~ ( element @ X1 @ sk__12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl446]) ).

thf(zip_derived_cl475,plain,
    ( ~ ( element @ sk__10 @ sk__12 )
    | ~ ( element @ sk__11 @ sk__12 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl48,zip_derived_cl451]) ).

thf(zip_derived_cl50,plain,
    element @ sk__10 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    element @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl482,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl475,zip_derived_cl50,zip_derived_cl49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU102+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wddyLMOrGf true
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Aug 23 12:17:30 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.19/0.62  % Total configuration time : 435
% 0.19/0.62  % Estimated wc time : 1092
% 0.19/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.81  % Solved by fo/fo3_bce.sh.
% 0.52/0.81  % BCE start: 64
% 0.52/0.81  % BCE eliminated: 8
% 0.52/0.81  % PE start: 56
% 0.52/0.81  logic: eq
% 0.52/0.81  % PE eliminated: 5
% 0.52/0.81  % done 110 iterations in 0.044s
% 0.52/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.81  % SZS output start Refutation
% See solution above
% 0.52/0.81  
% 0.52/0.81  
% 0.52/0.81  % Terminating...
% 0.52/0.85  % Runner terminated.
% 1.49/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------