TSTP Solution File: SEU219+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU219+3 : 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.C7pSXCV57b true

% Computer : n003.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 19:11:20 EDT 2023

% Result   : Theorem 0.22s 0.76s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   31 (  10 unt;   8 typ;   0 def)
%            Number of atoms       :   49 (  24 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  134 (  21   ~;  13   |;   6   &;  87   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   0   ^;   7   !;   0   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
thf(function_type,type,
    function: $i > $o ).

thf(relation_inverse_type,type,
    relation_inverse: $i > $i ).

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

thf(function_inverse_type,type,
    function_inverse: $i > $i ).

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

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

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

thf(one_to_one_type,type,
    one_to_one: $i > $o ).

thf(t37_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( ( relation_rng @ A )
          = ( relation_dom @ ( relation_inverse @ A ) ) )
        & ( ( relation_dom @ A )
          = ( relation_rng @ ( relation_inverse @ A ) ) ) ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ( ( ( relation_dom @ X0 )
        = ( relation_rng @ ( relation_inverse @ X0 ) ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t37_relat_1]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] :
      ( ( ( relation_rng @ X0 )
        = ( relation_dom @ ( relation_inverse @ X0 ) ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t37_relat_1]) ).

thf(t55_funct_1,conjecture,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( one_to_one @ A )
       => ( ( ( relation_rng @ A )
            = ( relation_dom @ ( function_inverse @ A ) ) )
          & ( ( relation_dom @ A )
            = ( relation_rng @ ( function_inverse @ A ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( relation @ A )
          & ( function @ A ) )
       => ( ( one_to_one @ A )
         => ( ( ( relation_rng @ A )
              = ( relation_dom @ ( function_inverse @ A ) ) )
            & ( ( relation_dom @ A )
              = ( relation_rng @ ( function_inverse @ A ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t55_funct_1]) ).

thf(zip_derived_cl59,plain,
    ( ( ( relation_rng @ sk__11 )
     != ( relation_dom @ ( function_inverse @ sk__11 ) ) )
    | ( ( relation_dom @ sk__11 )
     != ( relation_rng @ ( function_inverse @ sk__11 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    one_to_one @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d9_funct_1,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( one_to_one @ A )
       => ( ( function_inverse @ A )
          = ( relation_inverse @ A ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ~ ( one_to_one @ X0 )
      | ( ( function_inverse @ X0 )
        = ( relation_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d9_funct_1]) ).

thf(zip_derived_cl296,plain,
    ( ~ ( relation @ sk__11 )
    | ~ ( function @ sk__11 )
    | ( ( function_inverse @ sk__11 )
      = ( relation_inverse @ sk__11 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl6]) ).

thf(zip_derived_cl57,plain,
    relation @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58,plain,
    function @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl356,plain,
    ( ( function_inverse @ sk__11 )
    = ( relation_inverse @ sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl57,zip_derived_cl58]) ).

thf(zip_derived_cl356_001,plain,
    ( ( function_inverse @ sk__11 )
    = ( relation_inverse @ sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl57,zip_derived_cl58]) ).

thf(zip_derived_cl357,plain,
    ( ( ( relation_rng @ sk__11 )
     != ( relation_dom @ ( relation_inverse @ sk__11 ) ) )
    | ( ( relation_dom @ sk__11 )
     != ( relation_rng @ ( relation_inverse @ sk__11 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl356,zip_derived_cl356]) ).

thf(zip_derived_cl384,plain,
    ( ~ ( relation @ sk__11 )
    | ( ( relation_rng @ sk__11 )
     != ( relation_rng @ sk__11 ) )
    | ( ( relation_dom @ sk__11 )
     != ( relation_rng @ ( relation_inverse @ sk__11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl357]) ).

thf(zip_derived_cl57_002,plain,
    relation @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl388,plain,
    ( ( ( relation_rng @ sk__11 )
     != ( relation_rng @ sk__11 ) )
    | ( ( relation_dom @ sk__11 )
     != ( relation_rng @ ( relation_inverse @ sk__11 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl384,zip_derived_cl57]) ).

thf(zip_derived_cl389,plain,
    ( ( relation_dom @ sk__11 )
   != ( relation_rng @ ( relation_inverse @ sk__11 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl388]) ).

thf(zip_derived_cl406,plain,
    ( ~ ( relation @ sk__11 )
    | ( ( relation_dom @ sk__11 )
     != ( relation_dom @ sk__11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl389]) ).

thf(zip_derived_cl57_003,plain,
    relation @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl410,plain,
    ( ( relation_dom @ sk__11 )
   != ( relation_dom @ sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl406,zip_derived_cl57]) ).

thf(zip_derived_cl411,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl410]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SEU219+3 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.C7pSXCV57b true
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed Aug 23 18:18:22 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % Solved by fo/fo6_bce.sh.
% 0.22/0.76  % BCE start: 65
% 0.22/0.76  % BCE eliminated: 2
% 0.22/0.76  % PE start: 63
% 0.22/0.76  logic: eq
% 0.22/0.76  % PE eliminated: -1
% 0.22/0.76  % done 89 iterations in 0.033s
% 0.22/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.76  % SZS output start Refutation
% See solution above
% 0.22/0.76  
% 0.22/0.76  
% 0.22/0.76  % Terminating...
% 1.39/0.85  % Runner terminated.
% 1.39/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------