TSTP Solution File: SEU134+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU134+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.n6w367ySmA true

% Computer : n015.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 19:10:39 EDT 2023

% Result   : Theorem 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (   4 unt;   5 typ;   0 def)
%            Number of atoms       :   22 (  14 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   58 (   9   ~;   6   |;   0   &;  40   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^;  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(empty_set_type,type,
    empty_set: $i ).

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

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

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

thf(set_difference_type,type,
    set_difference: $i > $i > $i ).

thf(l32_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( set_difference @ A @ B )
        = empty_set )
    <=> ( subset @ A @ B ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( ( set_difference @ X0 @ X1 )
       != empty_set ) ),
    inference(cnf,[status(esa)],[l32_xboole_1]) ).

thf(t37_xboole_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( set_difference @ A @ B )
        = empty_set )
    <=> ( subset @ A @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( set_difference @ A @ B )
          = empty_set )
      <=> ( subset @ A @ B ) ),
    inference('cnf.neg',[status(esa)],[t37_xboole_1]) ).

thf(zip_derived_cl13,plain,
    ( ~ ( subset @ sk__2 @ sk__3 )
    | ( ( set_difference @ sk__2 @ sk__3 )
     != empty_set ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    ( ( ( set_difference @ sk__2 @ sk__3 )
     != empty_set )
    | ( ( set_difference @ sk__2 @ sk__3 )
     != empty_set ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl13]) ).

thf(zip_derived_cl74,plain,
    ( ( set_difference @ sk__2 @ sk__3 )
   != empty_set ),
    inference(simplify,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl12,plain,
    ( ( subset @ sk__2 @ sk__3 )
    | ( ( set_difference @ sk__2 @ sk__3 )
      = empty_set ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_difference @ X0 @ X1 )
        = empty_set )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l32_xboole_1]) ).

thf(zip_derived_cl47,plain,
    ( ( ( set_difference @ sk__2 @ sk__3 )
      = empty_set )
    | ( ( set_difference @ sk__2 @ sk__3 )
      = empty_set ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl15]) ).

thf(zip_derived_cl70,plain,
    ( ( set_difference @ sk__2 @ sk__3 )
    = empty_set ),
    inference(simplify,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl75,plain,
    empty_set != empty_set,
    inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl70]) ).

thf(zip_derived_cl76,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl75]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU134+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.n6w367ySmA true
% 0.13/0.36  % Computer : n015.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Thu Aug 24 01:27:50 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /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  % Solved by fo/fo6_bce.sh.
% 0.21/0.75  % BCE start: 16
% 0.21/0.75  % BCE eliminated: 2
% 0.21/0.75  % PE start: 14
% 0.21/0.75  logic: eq
% 0.21/0.75  % PE eliminated: 1
% 0.21/0.75  % done 20 iterations in 0.009s
% 0.21/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.75  % SZS output start Refutation
% See solution above
% 0.21/0.75  
% 0.21/0.75  
% 0.21/0.75  % Terminating...
% 1.38/0.86  % Runner terminated.
% 1.38/0.87  % Zipperpin 1.5 exiting
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