TSTP Solution File: SEU140+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU140+1 : 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.CeaxOvnVjD true

% Computer : n008.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 19:10:41 EDT 2023

% Result   : Theorem 1.14s 0.75s
% Output   : Refutation 1.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   25 (   7 unt;   7 typ;   0 def)
%            Number of atoms       :   31 (   9 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   88 (   9   ~;   6   |;   2   &;  66   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(disjoint_type,type,
    disjoint: $i > $i > $o ).

thf(set_intersection2_type,type,
    set_intersection2: $i > $i > $i ).

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

thf(sk__4_type,type,
    sk__4: $i ).

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

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

thf(empty_set_type,type,
    empty_set: $i ).

thf(t63_xboole_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subset @ A @ B )
        & ( disjoint @ B @ C ) )
     => ( disjoint @ A @ C ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( subset @ A @ B )
          & ( disjoint @ B @ C ) )
       => ( disjoint @ A @ C ) ),
    inference('cnf.neg',[status(esa)],[t63_xboole_1]) ).

thf(zip_derived_cl17,plain,
    subset @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    disjoint @ sk__3 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d7_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( disjoint @ A @ B )
    <=> ( ( set_intersection2 @ A @ B )
        = empty_set ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_intersection2 @ X0 @ X1 )
        = empty_set )
      | ~ ( disjoint @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[d7_xboole_0]) ).

thf(zip_derived_cl71,plain,
    ( ( set_intersection2 @ sk__3 @ sk__4 )
    = empty_set ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl2]) ).

thf(t26_xboole_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( subset @ A @ B )
     => ( subset @ ( set_intersection2 @ A @ C ) @ ( set_intersection2 @ B @ C ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ( subset @ ( set_intersection2 @ X0 @ X2 ) @ ( set_intersection2 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t26_xboole_1]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i] :
      ( ~ ( subset @ X0 @ sk__3 )
      | ( subset @ ( set_intersection2 @ X0 @ sk__4 ) @ empty_set ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl12]) ).

thf(t3_xboole_1,axiom,
    ! [A: $i] :
      ( ( subset @ A @ empty_set )
     => ( A = empty_set ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ~ ( subset @ X0 @ empty_set ) ),
    inference(cnf,[status(esa)],[t3_xboole_1]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i] :
      ( ~ ( subset @ X0 @ sk__3 )
      | ( ( set_intersection2 @ X0 @ sk__4 )
        = empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl14]) ).

thf(zip_derived_cl224,plain,
    ( ( set_intersection2 @ sk__2 @ sk__4 )
    = empty_set ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl150]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ X0 @ X1 )
      | ( ( set_intersection2 @ X0 @ X1 )
       != empty_set ) ),
    inference(cnf,[status(esa)],[d7_xboole_0]) ).

thf(zip_derived_cl15,plain,
    ~ ( disjoint @ sk__2 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69,plain,
    ( ( set_intersection2 @ sk__2 @ sk__4 )
   != empty_set ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl15]) ).

thf(zip_derived_cl228,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl224,zip_derived_cl69]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU140+1 : 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.CeaxOvnVjD true
% 0.13/0.34  % Computer : n008.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 : Wed Aug 23 14:39:18 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
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.14/0.75  % Solved by fo/fo6_bce.sh.
% 1.14/0.75  % BCE start: 21
% 1.14/0.75  % BCE eliminated: 2
% 1.14/0.75  % PE start: 19
% 1.14/0.75  logic: eq
% 1.14/0.75  % PE eliminated: 0
% 1.14/0.75  % done 69 iterations in 0.031s
% 1.14/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.14/0.75  % SZS output start Refutation
% See solution above
% 1.14/0.75  
% 1.14/0.75  
% 1.14/0.75  % Terminating...
% 1.46/0.84  % Runner terminated.
% 1.46/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------