TSTP Solution File: SEU104+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU104+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WNRtv6SlzA true

% Computer : n031.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 0.57s 1.01s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   53 (  16 unt;  10 typ;   0 def)
%            Number of atoms       :   88 (   4 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  319 (  27   ~;  30   |;   4   &; 247   @)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :   45 (   0   ^;  45   !;   0   ?;  45   :)

% Comments : 
%------------------------------------------------------------------------------
thf(symmetric_difference_type,type,
    symmetric_difference: $i > $i > $i ).

thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

thf(in_type,type,
    in: $i > $i > $o ).

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

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

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

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

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

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

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

thf(t10_finsub_1,axiom,
    ! [A: $i] :
      ( ( preboolean @ A )
    <=> ! [B: $i,C: $i] :
          ( ( ( in @ B @ A )
            & ( in @ C @ A ) )
         => ( ( in @ ( set_union2 @ B @ C ) @ A )
            & ( in @ ( set_difference @ B @ C ) @ A ) ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ( preboolean @ X0 )
      | ( in @ ( sk__11 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[t10_finsub_1]) ).

thf(t1_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( element @ A @ B ) ) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl262,plain,
    ! [X0: $i] :
      ( ( preboolean @ X0 )
      | ( element @ ( sk__11 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl58]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] :
      ( ( preboolean @ X0 )
      | ( in @ ( sk__10 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[t10_finsub_1]) ).

thf(zip_derived_cl58_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl257,plain,
    ! [X0: $i] :
      ( ( preboolean @ X0 )
      | ( element @ ( sk__10 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl58]) ).

thf(t15_finsub_1,conjecture,
    ! [A: $i] :
      ( ~ ( empty @ A )
     => ( ! [B: $i] :
            ( ( element @ B @ A )
           => ! [C: $i] :
                ( ( element @ C @ A )
               => ( ( in @ ( symmetric_difference @ B @ C ) @ A )
                  & ( in @ ( set_difference @ B @ C ) @ A ) ) ) )
       => ( preboolean @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ~ ( empty @ A )
       => ( ! [B: $i] :
              ( ( element @ B @ A )
             => ! [C: $i] :
                  ( ( element @ C @ A )
                 => ( ( in @ ( symmetric_difference @ B @ C ) @ A )
                    & ( in @ ( set_difference @ B @ C ) @ A ) ) ) )
         => ( preboolean @ A ) ) ),
    inference('cnf.neg',[status(esa)],[t15_finsub_1]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ sk__12 )
      | ( in @ ( set_difference @ X1 @ X0 ) @ sk__12 )
      | ~ ( element @ X1 @ sk__12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl644,plain,
    ! [X0: $i] :
      ( ( preboolean @ sk__12 )
      | ~ ( element @ X0 @ sk__12 )
      | ( in @ ( set_difference @ X0 @ ( sk__10 @ sk__12 ) ) @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl55]) ).

thf(zip_derived_cl54,plain,
    ~ ( preboolean @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl652,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ sk__12 )
      | ( in @ ( set_difference @ X0 @ ( sk__10 @ sk__12 ) ) @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl644,zip_derived_cl54]) ).

thf(zip_derived_cl730,plain,
    ( ( preboolean @ sk__12 )
    | ( in @ ( set_difference @ ( sk__11 @ sk__12 ) @ ( sk__10 @ sk__12 ) ) @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl652]) ).

thf(zip_derived_cl54_002,plain,
    ~ ( preboolean @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl734,plain,
    in @ ( set_difference @ ( sk__11 @ sk__12 ) @ ( sk__10 @ sk__12 ) ) @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl54]) ).

thf(zip_derived_cl58_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl1190,plain,
    element @ ( set_difference @ ( sk__11 @ sk__12 ) @ ( sk__10 @ sk__12 ) ) @ sk__12,
    inference('sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl58]) ).

thf(zip_derived_cl257_004,plain,
    ! [X0: $i] :
      ( ( preboolean @ X0 )
      | ( element @ ( sk__10 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl58]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ sk__12 )
      | ( in @ ( symmetric_difference @ X1 @ X0 ) @ sk__12 )
      | ~ ( element @ X1 @ sk__12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl645,plain,
    ! [X0: $i] :
      ( ( preboolean @ sk__12 )
      | ~ ( element @ X0 @ sk__12 )
      | ( in @ ( symmetric_difference @ X0 @ ( sk__10 @ sk__12 ) ) @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl56]) ).

thf(zip_derived_cl54_005,plain,
    ~ ( preboolean @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl653,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ sk__12 )
      | ( in @ ( symmetric_difference @ X0 @ ( sk__10 @ sk__12 ) ) @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl645,zip_derived_cl54]) ).

thf(zip_derived_cl1769,plain,
    in @ ( symmetric_difference @ ( set_difference @ ( sk__11 @ sk__12 ) @ ( sk__10 @ sk__12 ) ) @ ( sk__10 @ sk__12 ) ) @ sk__12,
    inference('sup-',[status(thm)],[zip_derived_cl1190,zip_derived_cl653]) ).

thf(commutativity_k5_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( symmetric_difference @ A @ B )
      = ( symmetric_difference @ B @ A ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( symmetric_difference @ X1 @ X0 )
      = ( symmetric_difference @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k5_xboole_0]) ).

thf(t98_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( set_union2 @ A @ B )
      = ( symmetric_difference @ A @ ( set_difference @ B @ A ) ) ) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_union2 @ X0 @ X1 )
      = ( symmetric_difference @ X0 @ ( set_difference @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[t98_xboole_1]) ).

thf(zip_derived_cl1793,plain,
    in @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl1769,zip_derived_cl7,zip_derived_cl70]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] :
      ( ( preboolean @ X0 )
      | ~ ( in @ ( set_union2 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) ) @ X0 )
      | ~ ( in @ ( set_difference @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) ) @ X0 ) ),
    inference(cnf,[status(esa)],[t10_finsub_1]) ).

thf(zip_derived_cl2137,plain,
    ( ~ ( in @ ( set_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
    | ( preboolean @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1793,zip_derived_cl52]) ).

thf(zip_derived_cl257_006,plain,
    ! [X0: $i] :
      ( ( preboolean @ X0 )
      | ( element @ ( sk__10 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl58]) ).

thf(zip_derived_cl262_007,plain,
    ! [X0: $i] :
      ( ( preboolean @ X0 )
      | ( element @ ( sk__11 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl58]) ).

thf(zip_derived_cl55_008,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ sk__12 )
      | ( in @ ( set_difference @ X1 @ X0 ) @ sk__12 )
      | ~ ( element @ X1 @ sk__12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl663,plain,
    ! [X0: $i] :
      ( ( preboolean @ sk__12 )
      | ~ ( element @ X0 @ sk__12 )
      | ( in @ ( set_difference @ X0 @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl55]) ).

thf(zip_derived_cl54_009,plain,
    ~ ( preboolean @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl671,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ sk__12 )
      | ( in @ ( set_difference @ X0 @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl663,zip_derived_cl54]) ).

thf(zip_derived_cl750,plain,
    ( ( preboolean @ sk__12 )
    | ( in @ ( set_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl671]) ).

thf(zip_derived_cl54_010,plain,
    ~ ( preboolean @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl754,plain,
    in @ ( set_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl750,zip_derived_cl54]) ).

thf(zip_derived_cl54_011,plain,
    ~ ( preboolean @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2158,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2137,zip_derived_cl754,zip_derived_cl54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem  : SEU104+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WNRtv6SlzA true
% 0.14/0.36  % Computer : n031.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Aug 23 15:58:20 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.22/0.69  % Total configuration time : 435
% 0.22/0.69  % Estimated wc time : 1092
% 0.22/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.85  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/1.01  % Solved by fo/fo5.sh.
% 0.57/1.01  % done 402 iterations in 0.181s
% 0.57/1.01  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/1.01  % SZS output start Refutation
% See solution above
% 0.57/1.01  
% 0.57/1.01  
% 0.57/1.01  % Terminating...
% 1.47/1.15  % Runner terminated.
% 1.47/1.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------