TSTP Solution File: SEU020+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU020+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.xDZp6wfKv9 true

% Computer : n001.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 19:10:14 EDT 2023

% Result   : Theorem 0.70s 0.83s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   38 (  19 unt;  10 typ;   0 def)
%            Number of atoms       :   70 (  12 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  190 (  25   ~;  20   |;  12   &; 123   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  14   !;   2   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__9_type,type,
    sk__9: $i ).

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

thf(identity_relation_type,type,
    identity_relation: $i > $i ).

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

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

thf(relation_composition_type,type,
    relation_composition: $i > $i > $i ).

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

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

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

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(t27_funct_1,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ! [B: $i] :
          ( ( ( relation @ B )
            & ( function @ B ) )
         => ( ( ( relation_dom @ ( relation_composition @ B @ A ) )
              = ( relation_dom @ B ) )
           => ( subset @ ( relation_rng @ B ) @ ( relation_dom @ A ) ) ) ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ( subset @ ( relation_rng @ X0 ) @ ( relation_dom @ X1 ) )
      | ( ( relation_dom @ ( relation_composition @ X0 @ X1 ) )
       != ( relation_dom @ X0 ) )
      | ~ ( function @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[t27_funct_1]) ).

thf(t53_funct_1,conjecture,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ? [B: $i] :
            ( ( ( relation_composition @ A @ B )
              = ( identity_relation @ ( relation_dom @ A ) ) )
            & ( function @ B )
            & ( relation @ B ) )
       => ( one_to_one @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( relation @ A )
          & ( function @ A ) )
       => ( ? [B: $i] :
              ( ( ( relation_composition @ A @ B )
                = ( identity_relation @ ( relation_dom @ A ) ) )
              & ( function @ B )
              & ( relation @ B ) )
         => ( one_to_one @ A ) ) ),
    inference('cnf.neg',[status(esa)],[t53_funct_1]) ).

thf(zip_derived_cl53,plain,
    ( ( relation_composition @ sk__9 @ sk__10 )
    = ( identity_relation @ ( relation_dom @ sk__9 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t52_funct_1,axiom,
    ! [A: $i] : ( one_to_one @ ( identity_relation @ A ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] : ( one_to_one @ ( identity_relation @ X0 ) ),
    inference(cnf,[status(esa)],[t52_funct_1]) ).

thf(zip_derived_cl296,plain,
    one_to_one @ ( relation_composition @ sk__9 @ sk__10 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl53,zip_derived_cl49]) ).

thf(t47_funct_1,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ! [B: $i] :
          ( ( ( relation @ B )
            & ( function @ B ) )
         => ( ( ( one_to_one @ ( relation_composition @ B @ A ) )
              & ( subset @ ( relation_rng @ B ) @ ( relation_dom @ A ) ) )
           => ( one_to_one @ B ) ) ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ( one_to_one @ X0 )
      | ~ ( subset @ ( relation_rng @ X0 ) @ ( relation_dom @ X1 ) )
      | ~ ( one_to_one @ ( relation_composition @ X0 @ X1 ) )
      | ~ ( function @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[t47_funct_1]) ).

thf(zip_derived_cl444,plain,
    ( ~ ( relation @ sk__9 )
    | ~ ( function @ sk__9 )
    | ( one_to_one @ sk__9 )
    | ~ ( subset @ ( relation_rng @ sk__9 ) @ ( relation_dom @ sk__10 ) )
    | ~ ( function @ sk__10 )
    | ~ ( relation @ sk__10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl47]) ).

thf(zip_derived_cl50,plain,
    relation @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    function @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52,plain,
    ~ ( one_to_one @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54,plain,
    function @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55,plain,
    relation @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl447,plain,
    ~ ( subset @ ( relation_rng @ sk__9 ) @ ( relation_dom @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl444,zip_derived_cl50,zip_derived_cl51,zip_derived_cl52,zip_derived_cl54,zip_derived_cl55]) ).

thf(zip_derived_cl450,plain,
    ( ~ ( relation @ sk__10 )
    | ~ ( function @ sk__10 )
    | ( ( relation_dom @ ( relation_composition @ sk__9 @ sk__10 ) )
     != ( relation_dom @ sk__9 ) )
    | ~ ( function @ sk__9 )
    | ~ ( relation @ sk__9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl447]) ).

thf(zip_derived_cl55_001,plain,
    relation @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54_002,plain,
    function @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53_003,plain,
    ( ( relation_composition @ sk__9 @ sk__10 )
    = ( identity_relation @ ( relation_dom @ sk__9 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t71_relat_1,axiom,
    ! [A: $i] :
      ( ( ( relation_rng @ ( identity_relation @ A ) )
        = A )
      & ( ( relation_dom @ ( identity_relation @ A ) )
        = A ) ) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ( relation_dom @ ( identity_relation @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[t71_relat_1]) ).

thf(zip_derived_cl297,plain,
    ( ( relation_dom @ ( relation_composition @ sk__9 @ sk__10 ) )
    = ( relation_dom @ sk__9 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl53,zip_derived_cl58]) ).

thf(zip_derived_cl51_004,plain,
    function @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_005,plain,
    relation @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl452,plain,
    ( ( relation_dom @ sk__9 )
   != ( relation_dom @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl55,zip_derived_cl54,zip_derived_cl297,zip_derived_cl51,zip_derived_cl50]) ).

thf(zip_derived_cl453,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl452]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SEU020+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.16  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xDZp6wfKv9 true
% 0.15/0.37  % Computer : n001.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu Aug 24 01:02:25 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.38  % Python version: Python 3.6.8
% 0.15/0.38  % Running in FO mode
% 0.23/0.69  % Total configuration time : 435
% 0.23/0.69  % Estimated wc time : 1092
% 0.23/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.70/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.70/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.70/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.70/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.70/0.83  % Solved by fo/fo6_bce.sh.
% 0.70/0.83  % BCE start: 62
% 0.70/0.83  % BCE eliminated: 2
% 0.70/0.83  % PE start: 60
% 0.70/0.83  logic: eq
% 0.70/0.83  % PE eliminated: 0
% 0.70/0.83  % done 106 iterations in 0.042s
% 0.70/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.70/0.83  % SZS output start Refutation
% See solution above
% 0.70/0.83  
% 0.70/0.83  
% 0.70/0.84  % Terminating...
% 1.46/0.89  % Runner terminated.
% 1.46/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------