TSTP Solution File: SEU094+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU094+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.46Ii641SPw true

% Computer : n021.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 19:10:26 EDT 2023

% Result   : Theorem 0.80s 0.79s
% Output   : Refutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   48 (  12 unt;   8 typ;   0 def)
%            Number of atoms       :   85 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  212 (  28   ~;  32   |;   4   &; 139   @)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   29 (   0   ^;  29   !;   0   ?;  29   :)

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

thf(powerset_type,type,
    powerset: $i > $i ).

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

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

thf(union_type,type,
    union: $i > $i ).

thf(sk__27_type,type,
    sk__27: $i ).

thf(sk__28_type,type,
    sk__28: $i ).

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

thf(t25_finset_1,conjecture,
    ! [A: $i] :
      ( ( ( finite @ A )
        & ! [B: $i] :
            ( ( in @ B @ A )
           => ( finite @ B ) ) )
    <=> ( finite @ ( union @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( finite @ A )
          & ! [B: $i] :
              ( ( in @ B @ A )
             => ( finite @ B ) ) )
      <=> ( finite @ ( union @ A ) ) ),
    inference('cnf.neg',[status(esa)],[t25_finset_1]) ).

thf(zip_derived_cl141,plain,
    ( ~ ( finite @ ( union @ sk__27 ) )
    | ~ ( finite @ sk__28 )
    | ~ ( finite @ sk__27 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138,plain,
    ( ( finite @ ( union @ sk__27 ) )
    | ( finite @ sk__27 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t24_finset_1,axiom,
    ! [A: $i] :
      ( ( finite @ A )
    <=> ( finite @ ( powerset @ A ) ) ) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i] :
      ( ( finite @ ( powerset @ X0 ) )
      | ~ ( finite @ X0 ) ),
    inference(cnf,[status(esa)],[t24_finset_1]) ).

thf(t100_zfmisc_1,axiom,
    ! [A: $i] : ( subset @ A @ ( powerset @ ( union @ A ) ) ) ).

thf(zip_derived_cl133,plain,
    ! [X0: $i] : ( subset @ X0 @ ( powerset @ ( union @ X0 ) ) ),
    inference(cnf,[status(esa)],[t100_zfmisc_1]) ).

thf(t13_finset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( subset @ A @ B )
        & ( finite @ B ) )
     => ( finite @ A ) ) ).

thf(zip_derived_cl134,plain,
    ! [X0: $i,X1: $i] :
      ( ( finite @ X0 )
      | ~ ( subset @ X0 @ X1 )
      | ~ ( finite @ X1 ) ),
    inference(cnf,[status(esa)],[t13_finset_1]) ).

thf(zip_derived_cl570,plain,
    ! [X0: $i] :
      ( ~ ( finite @ ( powerset @ ( union @ X0 ) ) )
      | ( finite @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl133,zip_derived_cl134]) ).

thf(zip_derived_cl1054,plain,
    ! [X0: $i] :
      ( ~ ( finite @ ( union @ X0 ) )
      | ( finite @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl570]) ).

thf(zip_derived_cl1057,plain,
    ( ( finite @ sk__27 )
    | ( finite @ sk__27 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl1054]) ).

thf(zip_derived_cl1058,plain,
    finite @ sk__27,
    inference(simplify,[status(thm)],[zip_derived_cl1057]) ).

thf(zip_derived_cl1060,plain,
    ( ~ ( finite @ ( union @ sk__27 ) )
    | ~ ( finite @ sk__28 ) ),
    inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl1058]) ).

thf(l22_finset_1,axiom,
    ! [A: $i] :
      ( ( ( finite @ A )
        & ! [B: $i] :
            ( ( in @ B @ A )
           => ( finite @ B ) ) )
     => ( finite @ ( union @ A ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( finite @ ( union @ X0 ) )
      | ( in @ ( sk__1 @ X0 ) @ X0 )
      | ~ ( finite @ X0 ) ),
    inference(cnf,[status(esa)],[l22_finset_1]) ).

thf(zip_derived_cl139,plain,
    ! [X0: $i] :
      ( ( finite @ ( union @ sk__27 ) )
      | ( finite @ X0 )
      | ~ ( in @ X0 @ sk__27 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t92_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( subset @ A @ ( union @ B ) ) ) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ ( union @ X1 ) )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t92_zfmisc_1]) ).

thf(zip_derived_cl134_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( finite @ X0 )
      | ~ ( subset @ X0 @ X1 )
      | ~ ( finite @ X1 ) ),
    inference(cnf,[status(esa)],[t13_finset_1]) ).

thf(zip_derived_cl574,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ X0 )
      | ~ ( finite @ ( union @ X0 ) )
      | ( finite @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl150,zip_derived_cl134]) ).

thf(zip_derived_cl1063,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__27 )
      | ( finite @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl574]) ).

thf(zip_derived_cl1064,plain,
    ( ~ ( finite @ sk__27 )
    | ( finite @ ( union @ sk__27 ) )
    | ( finite @ ( sk__1 @ sk__27 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl1063]) ).

thf(zip_derived_cl1058_002,plain,
    finite @ sk__27,
    inference(simplify,[status(thm)],[zip_derived_cl1057]) ).

thf(zip_derived_cl1065,plain,
    ( ( finite @ ( union @ sk__27 ) )
    | ( finite @ ( sk__1 @ sk__27 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1064,zip_derived_cl1058]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ( finite @ ( union @ X0 ) )
      | ~ ( finite @ ( sk__1 @ X0 ) )
      | ~ ( finite @ X0 ) ),
    inference(cnf,[status(esa)],[l22_finset_1]) ).

thf(zip_derived_cl1207,plain,
    ( ( finite @ ( union @ sk__27 ) )
    | ( finite @ ( union @ sk__27 ) )
    | ~ ( finite @ sk__27 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1065,zip_derived_cl46]) ).

thf(zip_derived_cl1058_003,plain,
    finite @ sk__27,
    inference(simplify,[status(thm)],[zip_derived_cl1057]) ).

thf(zip_derived_cl1210,plain,
    ( ( finite @ ( union @ sk__27 ) )
    | ( finite @ ( union @ sk__27 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1207,zip_derived_cl1058]) ).

thf(zip_derived_cl1211,plain,
    finite @ ( union @ sk__27 ),
    inference(simplify,[status(thm)],[zip_derived_cl1210]) ).

thf(zip_derived_cl1213,plain,
    ~ ( finite @ sk__28 ),
    inference(demod,[status(thm)],[zip_derived_cl1060,zip_derived_cl1211]) ).

thf(zip_derived_cl140,plain,
    ( ~ ( finite @ ( union @ sk__27 ) )
    | ( in @ sk__28 @ sk__27 )
    | ~ ( finite @ sk__27 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1058_004,plain,
    finite @ sk__27,
    inference(simplify,[status(thm)],[zip_derived_cl1057]) ).

thf(zip_derived_cl1067,plain,
    ( ~ ( finite @ ( union @ sk__27 ) )
    | ( in @ sk__28 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl1058]) ).

thf(zip_derived_cl1211_005,plain,
    finite @ ( union @ sk__27 ),
    inference(simplify,[status(thm)],[zip_derived_cl1210]) ).

thf(zip_derived_cl1215,plain,
    in @ sk__28 @ sk__27,
    inference(demod,[status(thm)],[zip_derived_cl1067,zip_derived_cl1211]) ).

thf(zip_derived_cl1063_006,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__27 )
      | ( finite @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl574]) ).

thf(zip_derived_cl1225,plain,
    finite @ sk__28,
    inference('s_sup-',[status(thm)],[zip_derived_cl1215,zip_derived_cl1063]) ).

thf(zip_derived_cl1226,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1213,zip_derived_cl1225]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU094+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.46Ii641SPw true
% 0.13/0.35  % Computer : n021.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 19:10:54 EDT 2023
% 0.19/0.35  % CPUTime  : 
% 0.19/0.35  % Running portfolio for 300 s
% 0.19/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /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
% 0.80/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.80/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.80/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.80/0.79  % Solved by fo/fo6_bce.sh.
% 0.80/0.79  % BCE start: 151
% 0.80/0.79  % BCE eliminated: 20
% 0.80/0.79  % PE start: 131
% 0.80/0.79  logic: eq
% 0.80/0.79  % PE eliminated: 4
% 0.80/0.79  % done 191 iterations in 0.063s
% 0.80/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.80/0.79  % SZS output start Refutation
% See solution above
% 0.80/0.79  
% 0.80/0.79  
% 0.80/0.79  % Terminating...
% 1.48/0.84  % Runner terminated.
% 1.48/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------