TSTP Solution File: SEU239+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU239+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.SoYY5IUzY3 true

% Computer : n004.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 19:11:31 EDT 2023

% Result   : Theorem 1.36s 0.79s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   42 (  11 unt;   9 typ;   0 def)
%            Number of atoms       :   82 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  249 (  32   ~;  38   |;   0   &; 168   @)
%                                         (   4 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__3_type,type,
    sk__3: $i ).

thf(is_reflexive_in_type,type,
    is_reflexive_in: $i > $i > $o ).

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

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

thf(relation_field_type,type,
    relation_field: $i > $i ).

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

thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(reflexive_type,type,
    reflexive: $i > $o ).

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

thf(d9_relat_2,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( reflexive @ A )
      <=> ( is_reflexive_in @ A @ ( relation_field @ A ) ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ~ ( reflexive @ X0 )
      | ( is_reflexive_in @ X0 @ ( relation_field @ X0 ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d9_relat_2]) ).

thf(d1_relat_2,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( is_reflexive_in @ A @ B )
        <=> ! [C: $i] :
              ( ( in @ C @ B )
             => ( in @ ( ordered_pair @ C @ C ) @ A ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_reflexive_in @ X0 @ X1 )
      | ( in @ ( ordered_pair @ X2 @ X2 ) @ X0 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d1_relat_2]) ).

thf(zip_derived_cl236,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( reflexive @ X0 )
      | ( in @ ( ordered_pair @ X1 @ X1 ) @ X0 )
      | ~ ( in @ X1 @ ( relation_field @ X0 ) )
      | ~ ( relation @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl9]) ).

thf(zip_derived_cl238,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( relation_field @ X0 ) )
      | ( in @ ( ordered_pair @ X1 @ X1 ) @ X0 )
      | ~ ( reflexive @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl236]) ).

thf(l1_wellord1,conjecture,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( reflexive @ A )
      <=> ! [B: $i] :
            ( ( in @ B @ ( relation_field @ A ) )
           => ( in @ ( ordered_pair @ B @ B ) @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( relation @ A )
       => ( ( reflexive @ A )
        <=> ! [B: $i] :
              ( ( in @ B @ ( relation_field @ A ) )
             => ( in @ ( ordered_pair @ B @ B ) @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[l1_wellord1]) ).

thf(zip_derived_cl30,plain,
    ( ~ ( in @ ( ordered_pair @ sk__3 @ sk__3 ) @ sk__2 )
    | ~ ( reflexive @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk_ @ X0 @ X1 ) @ X0 )
      | ( is_reflexive_in @ X1 @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d1_relat_2]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ ( relation_field @ sk__2 ) )
      | ( in @ ( ordered_pair @ X0 @ X0 ) @ sk__2 )
      | ( reflexive @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk_ @ X0 @ X1 ) ) @ X1 )
      | ( is_reflexive_in @ X1 @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d1_relat_2]) ).

thf(zip_derived_cl254,plain,
    ! [X0: $i] :
      ( ( reflexive @ sk__2 )
      | ~ ( in @ ( sk_ @ X0 @ sk__2 ) @ ( relation_field @ sk__2 ) )
      | ( is_reflexive_in @ sk__2 @ X0 )
      | ~ ( relation @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl8]) ).

thf(zip_derived_cl29,plain,
    relation @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl255,plain,
    ! [X0: $i] :
      ( ( reflexive @ sk__2 )
      | ~ ( in @ ( sk_ @ X0 @ sk__2 ) @ ( relation_field @ sk__2 ) )
      | ( is_reflexive_in @ sk__2 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl29]) ).

thf(zip_derived_cl346,plain,
    ( ~ ( relation @ sk__2 )
    | ( is_reflexive_in @ sk__2 @ ( relation_field @ sk__2 ) )
    | ( reflexive @ sk__2 )
    | ( is_reflexive_in @ sk__2 @ ( relation_field @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl255]) ).

thf(zip_derived_cl29_001,plain,
    relation @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl351,plain,
    ( ( is_reflexive_in @ sk__2 @ ( relation_field @ sk__2 ) )
    | ( reflexive @ sk__2 )
    | ( is_reflexive_in @ sk__2 @ ( relation_field @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl29]) ).

thf(zip_derived_cl352,plain,
    ( ( reflexive @ sk__2 )
    | ( is_reflexive_in @ sk__2 @ ( relation_field @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl351]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ~ ( is_reflexive_in @ X0 @ ( relation_field @ X0 ) )
      | ( reflexive @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d9_relat_2]) ).

thf(zip_derived_cl357,plain,
    ( ( reflexive @ sk__2 )
    | ( reflexive @ sk__2 )
    | ~ ( relation @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl12]) ).

thf(zip_derived_cl29_002,plain,
    relation @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl361,plain,
    ( ( reflexive @ sk__2 )
    | ( reflexive @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl29]) ).

thf(zip_derived_cl362,plain,
    reflexive @ sk__2,
    inference(simplify,[status(thm)],[zip_derived_cl361]) ).

thf(zip_derived_cl365,plain,
    ~ ( in @ ( ordered_pair @ sk__3 @ sk__3 ) @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl362]) ).

thf(zip_derived_cl367,plain,
    ( ~ ( relation @ sk__2 )
    | ~ ( reflexive @ sk__2 )
    | ~ ( in @ sk__3 @ ( relation_field @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl365]) ).

thf(zip_derived_cl29_003,plain,
    relation @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl362_004,plain,
    reflexive @ sk__2,
    inference(simplify,[status(thm)],[zip_derived_cl361]) ).

thf(zip_derived_cl370,plain,
    ~ ( in @ sk__3 @ ( relation_field @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl29,zip_derived_cl362]) ).

thf(zip_derived_cl31,plain,
    ( ( in @ sk__3 @ ( relation_field @ sk__2 ) )
    | ~ ( reflexive @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl362_005,plain,
    reflexive @ sk__2,
    inference(simplify,[status(thm)],[zip_derived_cl361]) ).

thf(zip_derived_cl366,plain,
    in @ sk__3 @ ( relation_field @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl362]) ).

thf(zip_derived_cl373,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl366]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU239+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SoYY5IUzY3 true
% 0.17/0.34  % Computer : n004.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Wed Aug 23 19:21:38 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.17/0.34  % Running portfolio for 300 s
% 0.17/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.35  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.79  % Solved by fo/fo6_bce.sh.
% 1.36/0.79  % BCE start: 49
% 1.36/0.79  % BCE eliminated: 2
% 1.36/0.79  % PE start: 47
% 1.36/0.79  logic: eq
% 1.36/0.79  % PE eliminated: 2
% 1.36/0.79  % done 79 iterations in 0.068s
% 1.36/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.79  % SZS output start Refutation
% See solution above
% 1.36/0.79  
% 1.36/0.79  
% 1.36/0.79  % Terminating...
% 1.36/0.84  % Runner terminated.
% 1.36/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------