TSTP Solution File: NUM410+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM410+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.x3pu96Enn1 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 12:41:17 EDT 2023

% Result   : Theorem 0.56s 0.79s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   28 (  10 unt;   9 typ;   0 def)
%            Number of atoms       :   46 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  110 (  17   ~;  14   |;   5   &;  66   @)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

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

thf(transfinite_sequence_of_type,type,
    transfinite_sequence_of: $i > $i > $o ).

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

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

thf(transfinite_sequence_type,type,
    transfinite_sequence: $i > $o ).

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

thf(sk__16_type,type,
    sk__16: $i ).

thf(ordinal_type,type,
    ordinal: $i > $o ).

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

thf(reflexivity_r1_tarski,axiom,
    ! [A: $i,B: $i] : ( subset @ A @ A ) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).

thf(d8_ordinal1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B )
        & ( transfinite_sequence @ B ) )
     => ( ( transfinite_sequence_of @ B @ A )
      <=> ( subset @ ( relation_rng @ B ) @ A ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subset @ ( relation_rng @ X0 ) @ X1 )
      | ( transfinite_sequence_of @ X0 @ X1 )
      | ~ ( transfinite_sequence @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d8_ordinal1]) ).

thf(zip_derived_cl180,plain,
    ! [X0: $i] :
      ( ( transfinite_sequence_of @ X0 @ ( relation_rng @ X0 ) )
      | ~ ( transfinite_sequence @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl14]) ).

thf(t46_ordinal1,conjecture,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( ordinal @ ( relation_dom @ A ) )
       => ( transfinite_sequence_of @ A @ ( relation_rng @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( relation @ A )
          & ( function @ A ) )
       => ( ( ordinal @ ( relation_dom @ A ) )
         => ( transfinite_sequence_of @ A @ ( relation_rng @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t46_ordinal1]) ).

thf(zip_derived_cl88,plain,
    ~ ( transfinite_sequence_of @ sk__16 @ ( relation_rng @ sk__16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl330,plain,
    ( ~ ( relation @ sk__16 )
    | ~ ( function @ sk__16 )
    | ~ ( transfinite_sequence @ sk__16 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl180,zip_derived_cl88]) ).

thf(zip_derived_cl86,plain,
    relation @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87,plain,
    function @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89,plain,
    ordinal @ ( relation_dom @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d7_ordinal1,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( transfinite_sequence @ A )
      <=> ( ordinal @ ( relation_dom @ A ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ~ ( ordinal @ ( relation_dom @ X0 ) )
      | ( transfinite_sequence @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d7_ordinal1]) ).

thf(zip_derived_cl145,plain,
    ( ( transfinite_sequence @ sk__16 )
    | ~ ( function @ sk__16 )
    | ~ ( relation @ sk__16 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl12]) ).

thf(zip_derived_cl87_001,plain,
    function @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl86_002,plain,
    relation @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146,plain,
    transfinite_sequence @ sk__16,
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl87,zip_derived_cl86]) ).

thf(zip_derived_cl334,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl86,zip_derived_cl87,zip_derived_cl146]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM410+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.x3pu96Enn1 true
% 0.14/0.34  % Computer : n031.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug 25 09:56:07 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.79  % Solved by fo/fo1_av.sh.
% 0.56/0.79  % done 188 iterations in 0.052s
% 0.56/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.79  % SZS output start Refutation
% See solution above
% 0.56/0.79  
% 0.56/0.79  
% 0.56/0.79  % Terminating...
% 0.56/0.85  % Runner terminated.
% 0.56/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------