TSTP Solution File: SEU230+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU230+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EzoPPkUuNo true

% Computer : n022.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 19:11:27 EDT 2023

% Result   : Theorem 3.60s 1.14s
% Output   : Refutation 3.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   27 (  17 unt;   7 typ;   0 def)
%            Number of atoms       :   23 (   7 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   91 (   7   ~;   2   |;   0   &;  81   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  23   !;   0   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(unordered_pair_type,type,
    unordered_pair: $i > $i > $i ).

thf(singleton_type,type,
    singleton: $i > $i ).

thf(succ_type,type,
    succ: $i > $i ).

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

thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

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

thf(sk__20_type,type,
    sk__20: $i ).

thf(l2_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ ( singleton @ A ) @ B )
    <=> ( in @ A @ B ) ) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ~ ( subset @ ( singleton @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[l2_zfmisc_1]) ).

thf(t69_enumset1,axiom,
    ! [A: $i] :
      ( ( unordered_pair @ A @ A )
      = ( singleton @ A ) ) ).

thf(zip_derived_cl130,plain,
    ! [X0: $i] :
      ( ( unordered_pair @ X0 @ X0 )
      = ( singleton @ X0 ) ),
    inference(cnf,[status(esa)],[t69_enumset1]) ).

thf(zip_derived_cl1030,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ~ ( subset @ ( unordered_pair @ X0 @ X0 ) @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl130]) ).

thf(t10_ordinal1,conjecture,
    ! [A: $i] : ( in @ A @ ( succ @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] : ( in @ A @ ( succ @ A ) ),
    inference('cnf.neg',[status(esa)],[t10_ordinal1]) ).

thf(zip_derived_cl141,plain,
    ~ ( in @ sk__20 @ ( succ @ sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d1_ordinal1,axiom,
    ! [A: $i] :
      ( ( succ @ A )
      = ( set_union2 @ A @ ( singleton @ A ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( succ @ X0 )
      = ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_ordinal1]) ).

thf(zip_derived_cl321,plain,
    ~ ( in @ sk__20 @ ( set_union2 @ sk__20 @ ( singleton @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl7]) ).

thf(zip_derived_cl130_001,plain,
    ! [X0: $i] :
      ( ( unordered_pair @ X0 @ X0 )
      = ( singleton @ X0 ) ),
    inference(cnf,[status(esa)],[t69_enumset1]) ).

thf(zip_derived_cl359,plain,
    ~ ( in @ sk__20 @ ( set_union2 @ sk__20 @ ( unordered_pair @ sk__20 @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl130]) ).

thf(zip_derived_cl1050,plain,
    ~ ( subset @ ( unordered_pair @ sk__20 @ sk__20 ) @ ( set_union2 @ sk__20 @ ( unordered_pair @ sk__20 @ sk__20 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1030,zip_derived_cl359]) ).

thf(commutativity_k2_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( set_union2 @ A @ B )
      = ( set_union2 @ B @ A ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_union2 @ X1 @ X0 )
      = ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).

thf(t7_xboole_1,axiom,
    ! [A: $i,B: $i] : ( subset @ A @ ( set_union2 @ A @ B ) ) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i,X1: $i] : ( subset @ X0 @ ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t7_xboole_1]) ).

thf(zip_derived_cl2719,plain,
    ! [X0: $i,X1: $i] : ( subset @ X0 @ ( set_union2 @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl136]) ).

thf(zip_derived_cl4083,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1050,zip_derived_cl2719]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU230+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EzoPPkUuNo true
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 01:05:56 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.60/1.14  % Solved by fo/fo7.sh.
% 3.60/1.14  % done 814 iterations in 0.388s
% 3.60/1.14  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.60/1.14  % SZS output start Refutation
% See solution above
% 3.60/1.14  
% 3.60/1.14  
% 3.60/1.15  % Terminating...
% 4.40/1.24  % Runner terminated.
% 4.40/1.25  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------