TSTP Solution File: SET574+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET574+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.emG0R0xuIk true

% Computer : n023.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 16:14:38 EDT 2023

% Result   : Theorem 0.55s 0.71s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   5 unt;   5 typ;   0 def)
%            Number of atoms       :   19 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   50 (   5   ~;   3   |;   3   &;  36   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;  12   !;   1   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

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

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

thf(intersect_type,type,
    intersect: $i > $i > $o ).

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

thf(prove_th13,conjecture,
    ! [B: $i,C: $i,D: $i] :
      ( ( ( member @ B @ C )
        & ( member @ B @ D ) )
     => ( intersect @ C @ D ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i,C: $i,D: $i] :
        ( ( ( member @ B @ C )
          & ( member @ B @ D ) )
       => ( intersect @ C @ D ) ),
    inference('cnf.neg',[status(esa)],[prove_th13]) ).

thf(zip_derived_cl4,plain,
    ~ ( intersect @ sk__2 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    member @ sk__1 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    member @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(intersect_defn,axiom,
    ! [B: $i,C: $i] :
      ( ( intersect @ B @ C )
    <=> ? [D: $i] :
          ( ( member @ D @ C )
          & ( member @ D @ B ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( intersect @ X0 @ X1 )
      | ~ ( member @ X2 @ X0 )
      | ~ ( member @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[intersect_defn]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( intersect @ sk__2 @ X0 )
      | ~ ( member @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).

thf(zip_derived_cl13,plain,
    intersect @ sk__2 @ sk__3,
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).

thf(zip_derived_cl16,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET574+3 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.emG0R0xuIk true
% 0.13/0.34  % Computer : n023.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 : Sat Aug 26 09:57:56 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.47/0.61  % Total configuration time : 435
% 0.47/0.61  % Estimated wc time : 1092
% 0.47/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.71  % Solved by fo/fo6_bce.sh.
% 0.55/0.71  % BCE start: 7
% 0.55/0.71  % BCE eliminated: 0
% 0.55/0.71  % PE start: 7
% 0.55/0.71  logic: neq
% 0.55/0.71  % PE eliminated: 0
% 0.55/0.71  % done 9 iterations in 0.007s
% 0.55/0.71  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.71  % SZS output start Refutation
% See solution above
% 0.55/0.71  
% 0.55/0.71  
% 0.55/0.71  % Terminating...
% 0.55/0.73  % Runner terminated.
% 1.34/0.74  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------