TSTP Solution File: NUM383+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM383+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.P5Nxv6euk2 true

% Computer : n006.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 12:41:12 EDT 2023

% Result   : Theorem 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   29 (   6 unt;   7 typ;   0 def)
%            Number of atoms       :   45 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  132 (  19   ~;  14   |;   5   &;  90   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   32 (   0   ^;  32   !;   0   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
thf(element_type,type,
    element: $i > $i > $o ).

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

thf(sk__11_type,type,
    sk__11: $i ).

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

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

thf(sk__12_type,type,
    sk__12: $i ).

thf(empty_type,type,
    empty: $i > $o ).

thf(t7_ordinal1,conjecture,
    ! [A: $i,B: $i] :
      ~ ( ( in @ A @ B )
        & ( subset @ B @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ~ ( ( in @ A @ B )
          & ( subset @ B @ A ) ),
    inference('cnf.neg',[status(esa)],[t7_ordinal1]) ).

thf(zip_derived_cl45,plain,
    in @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    subset @ sk__12 @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t3_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ ( powerset @ B ) )
    <=> ( subset @ A @ B ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ ( powerset @ X1 ) )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t3_subset]) ).

thf(zip_derived_cl177,plain,
    element @ sk__12 @ ( powerset @ sk__11 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl44,zip_derived_cl39]) ).

thf(t4_subset,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( in @ A @ B )
        & ( element @ B @ ( powerset @ C ) ) )
     => ( element @ A @ C ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( element @ X1 @ ( powerset @ X2 ) )
      | ( element @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[t4_subset]) ).

thf(zip_derived_cl226,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__12 )
      | ( element @ X0 @ sk__11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl40]) ).

thf(t2_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ B )
     => ( ( empty @ B )
        | ( in @ A @ B ) ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t2_subset]) ).

thf(zip_derived_cl240,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__12 )
      | ( in @ X0 @ sk__11 )
      | ( empty @ sk__11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl37]) ).

thf(zip_derived_cl177_001,plain,
    element @ sk__12 @ ( powerset @ sk__11 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl44,zip_derived_cl39]) ).

thf(t5_subset,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( in @ A @ B )
        & ( element @ B @ ( powerset @ C ) )
        & ( empty @ C ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( empty @ X2 )
      | ~ ( element @ X1 @ ( powerset @ X2 ) ) ),
    inference(cnf,[status(esa)],[t5_subset]) ).

thf(zip_derived_cl227,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__12 )
      | ~ ( empty @ sk__11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl41]) ).

thf(zip_derived_cl256,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ sk__11 )
      | ~ ( in @ X0 @ sk__12 ) ),
    inference(clc,[status(thm)],[zip_derived_cl240,zip_derived_cl227]) ).

thf(zip_derived_cl257,plain,
    in @ sk__11 @ sk__11,
    inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl256]) ).

thf(antisymmetry_r2_hidden,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ~ ( in @ B @ A ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( in @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[antisymmetry_r2_hidden]) ).

thf(zip_derived_cl258,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM383+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.P5Nxv6euk2 true
% 0.13/0.34  % Computer : n006.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 : Fri Aug 25 14:11:52 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
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % Solved by fo/fo6_bce.sh.
% 0.21/0.75  % BCE start: 47
% 0.21/0.75  % BCE eliminated: 6
% 0.21/0.75  % PE start: 41
% 0.21/0.75  logic: eq
% 0.21/0.75  % PE eliminated: 2
% 0.21/0.75  % done 69 iterations in 0.025s
% 0.21/0.75  % SZS status Theorem for '/export/starexec/sandbox2/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...
% 1.41/0.85  % Runner terminated.
% 1.41/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------