TSTP Solution File: SEU204+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU204+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.TUUmj9Qjow true

% Computer : n026.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 19:11:12 EDT 2023

% Result   : Theorem 1.37s 0.82s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   30 (   4 unt;  10 typ;   0 def)
%            Number of atoms       :   55 (   8 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  209 (  21   ~;  24   |;   1   &; 153   @)
%                                         (   5 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :   50 (   0   ^;  48   !;   2   ?;  50   :)

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

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

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

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

thf(in_type,type,
    in: $i > $i > $o ).

thf(sk__9_type,type,
    sk__9: $i ).

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

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

thf(sk__3_type,type,
    sk__3: $i > $i > $i ).

thf(sk__2_type,type,
    sk__2: $i > $i > $i > $i ).

thf(t144_relat_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ( subset @ ( relation_image @ B @ A ) @ ( relation_rng @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( relation @ B )
       => ( subset @ ( relation_image @ B @ A ) @ ( relation_rng @ B ) ) ),
    inference('cnf.neg',[status(esa)],[t144_relat_1]) ).

thf(zip_derived_cl25,plain,
    ~ ( subset @ ( relation_image @ sk__10 @ sk__9 ) @ ( relation_rng @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__3 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl24,plain,
    relation @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__3 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(d13_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i,C: $i] :
          ( ( C
            = ( relation_image @ A @ B ) )
        <=> ! [D: $i] :
              ( ( in @ D @ C )
            <=> ? [E: $i] :
                  ( ( in @ E @ B )
                  & ( in @ ( ordered_pair @ E @ D ) @ A ) ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2
       != ( relation_image @ X0 @ X1 ) )
      | ( in @ ( ordered_pair @ ( sk__2 @ X3 @ X1 @ X0 ) @ X3 ) @ X0 )
      | ~ ( in @ X3 @ X2 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d13_relat_1]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( in @ X2 @ ( relation_image @ X0 @ X1 ) )
      | ( in @ ( ordered_pair @ ( sk__2 @ X2 @ X1 @ X0 ) @ X2 ) @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(d5_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( B
            = ( relation_rng @ A ) )
        <=> ! [C: $i] :
              ( ( in @ C @ B )
            <=> ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A ) ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1
       != ( relation_rng @ X0 ) )
      | ( in @ X2 @ X1 )
      | ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d5_relat_1]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X1 @ ( relation_image @ X0 @ X2 ) )
      | ~ ( relation @ X0 )
      | ~ ( relation @ X0 )
      | ( in @ X1 @ X3 )
      | ( X3
       != ( relation_rng @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl13]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X3
       != ( relation_rng @ X0 ) )
      | ( in @ X1 @ X3 )
      | ~ ( relation @ X0 )
      | ~ ( in @ X1 @ ( relation_image @ X0 @ X2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( subset @ ( relation_image @ X1 @ X0 ) @ X2 )
      | ~ ( relation @ X1 )
      | ( in @ ( sk__3 @ X2 @ ( relation_image @ X1 @ X0 ) ) @ X3 )
      | ( X3
       != ( relation_rng @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl89]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
       != ( relation_rng @ sk__10 ) )
      | ( in @ ( sk__3 @ X2 @ ( relation_image @ sk__10 @ X1 ) ) @ X0 )
      | ( subset @ ( relation_image @ sk__10 @ X1 ) @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl95]) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( relation_image @ sk__10 @ X1 ) @ X0 )
      | ( in @ ( sk__3 @ X0 @ ( relation_image @ sk__10 @ X1 ) ) @ ( relation_rng @ sk__10 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i] :
      ( ( subset @ ( relation_image @ sk__10 @ X0 ) @ ( relation_rng @ sk__10 ) )
      | ( subset @ ( relation_image @ sk__10 @ X0 ) @ ( relation_rng @ sk__10 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl109]) ).

thf(zip_derived_cl118,plain,
    ! [X0: $i] : ( subset @ ( relation_image @ sk__10 @ X0 ) @ ( relation_rng @ sk__10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl117]) ).

thf(zip_derived_cl120,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl118]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU204+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TUUmj9Qjow true
% 0.13/0.35  % Computer : n026.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 : Wed Aug 23 14:08:46 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.82  % Solved by fo/fo4.sh.
% 1.37/0.82  % done 54 iterations in 0.034s
% 1.37/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/0.82  % SZS output start Refutation
% See solution above
% 1.37/0.82  
% 1.37/0.82  
% 1.37/0.82  % Terminating...
% 2.04/0.97  % Runner terminated.
% 2.04/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------