TSTP Solution File: SEU303+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU303+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bSQrvOVj9S true

% Computer : n007.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 19:11:59 EDT 2023

% Result   : Theorem 0.22s 1.11s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (   8 unt;   7 typ;   0 def)
%            Number of atoms       :   38 (   4 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   96 (  12   ~;  10   |;   4   &;  64   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^;  11   !;   0   ?;  11   :)

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

thf(relation_image_type,type,
    relation_image: $i > $i > $i ).

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

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

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

thf(finite_type,type,
    finite: $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(t26_finset_1,conjecture,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( finite @ ( relation_dom @ A ) )
       => ( finite @ ( relation_rng @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( relation @ A )
          & ( function @ A ) )
       => ( ( finite @ ( relation_dom @ A ) )
         => ( finite @ ( relation_rng @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t26_finset_1]) ).

thf(zip_derived_cl10,plain,
    ~ ( finite @ ( relation_rng @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    relation @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t146_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( relation_image @ A @ ( relation_dom @ A ) )
        = ( relation_rng @ A ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( ( relation_image @ X0 @ ( relation_dom @ X0 ) )
        = ( relation_rng @ X0 ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t146_relat_1]) ).

thf(zip_derived_cl59,plain,
    ( ( relation_image @ sk__1 @ ( relation_dom @ sk__1 ) )
    = ( relation_rng @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl6]) ).

thf(zip_derived_cl8_001,plain,
    relation @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    function @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fc13_finset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ A )
        & ( function @ A )
        & ( finite @ B ) )
     => ( finite @ ( relation_image @ A @ B ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( function @ X0 )
      | ~ ( relation @ X0 )
      | ~ ( finite @ X1 )
      | ( finite @ ( relation_image @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc13_finset_1]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( finite @ ( relation_image @ sk__1 @ X0 ) )
      | ~ ( finite @ X0 )
      | ~ ( relation @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl3]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ( sk__1 != sk__1 )
      | ~ ( finite @ X0 )
      | ( finite @ ( relation_image @ sk__1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl44]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i] :
      ( ( finite @ ( relation_image @ sk__1 @ X0 ) )
      | ~ ( finite @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl68]) ).

thf(zip_derived_cl76,plain,
    ( ( finite @ ( relation_rng @ sk__1 ) )
    | ~ ( finite @ ( relation_dom @ sk__1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl59,zip_derived_cl75]) ).

thf(zip_derived_cl11,plain,
    finite @ ( relation_dom @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77,plain,
    finite @ ( relation_rng @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl11]) ).

thf(zip_derived_cl78,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl77]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.34  % Problem  : SEU303+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.35  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bSQrvOVj9S true
% 0.14/0.71  % Computer : n007.cluster.edu
% 0.14/0.71  % Model    : x86_64 x86_64
% 0.14/0.71  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.71  % Memory   : 8042.1875MB
% 0.14/0.71  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.72  % CPULimit : 300
% 0.14/0.72  % WCLimit  : 300
% 0.14/0.72  % DateTime : Wed Aug 23 12:01:11 EDT 2023
% 0.14/0.72  % CPUTime  : 
% 0.14/0.72  % Running portfolio for 300 s
% 0.14/0.72  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.72  % Number of cores: 8
% 0.18/0.72  % Python version: Python 3.6.8
% 0.18/0.72  % Running in FO mode
% 0.22/1.02  % Total configuration time : 435
% 0.22/1.02  % Estimated wc time : 1092
% 0.22/1.02  % Estimated cpu time (7 cpus) : 156.0
% 0.22/1.08  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/1.09  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/1.11  % Solved by fo/fo3_bce.sh.
% 0.22/1.11  % BCE start: 12
% 0.22/1.11  % BCE eliminated: 0
% 0.22/1.11  % PE start: 12
% 0.22/1.11  logic: eq
% 0.22/1.11  % PE eliminated: -3
% 0.22/1.11  % done 10 iterations in 0.006s
% 0.22/1.11  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/1.11  % SZS output start Refutation
% See solution above
% 0.22/1.11  
% 0.22/1.11  
% 0.22/1.12  % Terminating...
% 0.22/1.23  % Runner terminated.
% 0.22/1.24  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------