TSTP Solution File: SEU189+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU189+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.sARUp35L6N true

% Computer : n015.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 19:11:06 EDT 2023

% Result   : Theorem 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   42 (   6 unt;   6 typ;   0 def)
%            Number of atoms       :   82 (  59 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  148 (  31   ~;  17   |;   7   &;  71   @)
%                                         (   2 <=>;   6  =>;  14  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(relation_rng_type,type,
    relation_rng: $i > $i ).

thf(relation_dom_type,type,
    relation_dom: $i > $i ).

thf(empty_set_type,type,
    empty_set: $i ).

thf(sk__5_type,type,
    sk__5: $i ).

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

thf(relation_type,type,
    relation: $i > $o ).

thf(t65_relat_1,conjecture,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( ( relation_dom @ A )
          = empty_set )
      <=> ( ( relation_rng @ A )
          = empty_set ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( relation @ A )
       => ( ( ( relation_dom @ A )
            = empty_set )
        <=> ( ( relation_rng @ A )
            = empty_set ) ) ),
    inference('cnf.neg',[status(esa)],[t65_relat_1]) ).

thf(zip_derived_cl28,plain,
    ( ( ( relation_rng @ sk__5 )
     != empty_set )
    | ( ( relation_dom @ sk__5 )
     != empty_set ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ( ( relation_rng @ sk__5 )
     != empty_set )
    | ( ( relation_dom @ sk__5 )
     != empty_set ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl29,plain,
    ( ( ( relation_rng @ sk__5 )
      = empty_set )
    | ( ( relation_dom @ sk__5 )
      = empty_set ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    ( ( ( relation_dom @ sk__5 )
      = empty_set )
   <= ( ( relation_dom @ sk__5 )
      = empty_set ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(t64_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( ( ( relation_dom @ A )
            = empty_set )
          | ( ( relation_rng @ A )
            = empty_set ) )
       => ( A = empty_set ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( ( relation_dom @ X0 )
       != empty_set )
      | ( X0 = empty_set )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t64_relat_1]) ).

thf(zip_derived_cl46,plain,
    ( ( ( empty_set != empty_set )
      | ( sk__5 = empty_set )
      | ~ ( relation @ sk__5 ) )
   <= ( ( relation_dom @ sk__5 )
      = empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl32]) ).

thf(zip_derived_cl27,plain,
    relation @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    ( ( ( empty_set != empty_set )
      | ( sk__5 = empty_set ) )
   <= ( ( relation_dom @ sk__5 )
      = empty_set ) ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl27]) ).

thf(zip_derived_cl50,plain,
    ( ( sk__5 = empty_set )
   <= ( ( relation_dom @ sk__5 )
      = empty_set ) ),
    inference(simplify,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl35,plain,
    ( ( ( relation_rng @ sk__5 )
     != empty_set )
   <= ( ( relation_rng @ sk__5 )
     != empty_set ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl54,plain,
    ( ( ( relation_rng @ empty_set )
     != empty_set )
   <= ( ( ( relation_rng @ sk__5 )
       != empty_set )
      & ( ( relation_dom @ sk__5 )
        = empty_set ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl35]) ).

thf(t60_relat_1,axiom,
    ( ( ( relation_rng @ empty_set )
      = empty_set )
    & ( ( relation_dom @ empty_set )
      = empty_set ) ) ).

thf(zip_derived_cl30,plain,
    ( ( relation_rng @ empty_set )
    = empty_set ),
    inference(cnf,[status(esa)],[t60_relat_1]) ).

thf(zip_derived_cl58,plain,
    ( ( empty_set != empty_set )
   <= ( ( ( relation_rng @ sk__5 )
       != empty_set )
      & ( ( relation_dom @ sk__5 )
        = empty_set ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl30]) ).

thf('1',plain,
    ( ( ( relation_rng @ sk__5 )
      = empty_set )
    | ( ( relation_dom @ sk__5 )
     != empty_set ) ),
    inference(simplify,[status(thm)],[zip_derived_cl58]) ).

thf('2',plain,
    ( ( ( relation_rng @ sk__5 )
      = empty_set )
    | ( ( relation_dom @ sk__5 )
      = empty_set ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl37,plain,
    ( ( ( relation_rng @ sk__5 )
      = empty_set )
   <= ( ( relation_rng @ sk__5 )
      = empty_set ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(fc6_relat_1,axiom,
    ! [A: $i] :
      ( ( ~ ( empty @ A )
        & ( relation @ A ) )
     => ~ ( empty @ ( relation_rng @ A ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ~ ( empty @ ( relation_rng @ X0 ) )
      | ~ ( relation @ X0 )
      | ( empty @ X0 ) ),
    inference(cnf,[status(esa)],[fc6_relat_1]) ).

thf(zip_derived_cl75,plain,
    ( ( ~ ( empty @ empty_set )
      | ~ ( relation @ sk__5 )
      | ( empty @ sk__5 ) )
   <= ( ( relation_rng @ sk__5 )
      = empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl11]) ).

thf(fc4_relat_1,axiom,
    ( ( relation @ empty_set )
    & ( empty @ empty_set ) ) ).

thf(zip_derived_cl24,plain,
    empty @ empty_set,
    inference(cnf,[status(esa)],[fc4_relat_1]) ).

thf(zip_derived_cl27_001,plain,
    relation @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77,plain,
    ( ( empty @ sk__5 )
   <= ( ( relation_rng @ sk__5 )
      = empty_set ) ),
    inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl24,zip_derived_cl27]) ).

thf(t6_boole,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( A = empty_set ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ~ ( empty @ X0 ) ),
    inference(cnf,[status(esa)],[t6_boole]) ).

thf(zip_derived_cl79,plain,
    ( ( sk__5 = empty_set )
   <= ( ( relation_rng @ sk__5 )
      = empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl26]) ).

thf(zip_derived_cl34,plain,
    ( ( ( relation_dom @ sk__5 )
     != empty_set )
   <= ( ( relation_dom @ sk__5 )
     != empty_set ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl84,plain,
    ( ( ( relation_dom @ empty_set )
     != empty_set )
   <= ( ( ( relation_dom @ sk__5 )
       != empty_set )
      & ( ( relation_rng @ sk__5 )
        = empty_set ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl34]) ).

thf(zip_derived_cl31,plain,
    ( ( relation_dom @ empty_set )
    = empty_set ),
    inference(cnf,[status(esa)],[t60_relat_1]) ).

thf(zip_derived_cl86,plain,
    ( ( empty_set != empty_set )
   <= ( ( ( relation_dom @ sk__5 )
       != empty_set )
      & ( ( relation_rng @ sk__5 )
        = empty_set ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl31]) ).

thf('3',plain,
    ( ( ( relation_rng @ sk__5 )
     != empty_set )
    | ( ( relation_dom @ sk__5 )
      = empty_set ) ),
    inference(simplify,[status(thm)],[zip_derived_cl86]) ).

thf(zip_derived_cl90,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU189+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sARUp35L6N true
% 0.13/0.35  % Computer : n015.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 : Thu Aug 24 01:01:05 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % Solved by fo/fo1_av.sh.
% 0.21/0.75  % done 45 iterations in 0.012s
% 0.21/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.75  % SZS output start Refutation
% See solution above
% 0.21/0.75  
% 0.21/0.75  
% 0.21/0.75  % Terminating...
% 1.25/0.82  % Runner terminated.
% 1.56/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------