↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET876+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W5svT2XPtv true

% Computer : n024.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 Oct  2 04:53:04 PM UTC 2025

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   21 (   9 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   52 (   9   ~;   4   |;   0   &;  34   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__3_type,type,
    sk__3: $i ).

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

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

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

thf(singleton_type,type,
    singleton: $i > $i ).

thf(l28_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( in @ A @ B )
     => ( disjoint @ ( singleton @ A ) @ B ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ ( singleton @ X0 ) @ X1 )
      | ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l28_zfmisc_1]) ).

thf(t17_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( A != B )
     => ( disjoint @ ( singleton @ A ) @ ( singleton @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( A != B )
       => ( disjoint @ ( singleton @ A ) @ ( singleton @ B ) ) ),
    inference('cnf.neg',[status(esa)],[t17_zfmisc_1]) ).

thf(zip_derived_cl10,plain,
    ~ ( disjoint @ ( singleton @ sk__3 ) @ ( singleton @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55,plain,
    in @ sk__3 @ ( singleton @ sk__4 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl10]) ).

thf(d1_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( singleton @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ( C = A ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X0 = X2 )
      | ( X1
       != ( singleton @ X2 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl57,plain,
    sk__3 = sk__4,
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl44]) ).

thf(zip_derived_cl9,plain,
    sk__3 != sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl57,zip_derived_cl9]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET876+1 : TPTP v9.2.0. Released v3.2.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W5svT2XPtv true
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 13:20:38 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in FO mode
% 0.54/0.65  % Total configuration time : 435
% 0.54/0.65  % Estimated wc time : 1092
% 0.54/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % Solved by fo/fo6_bce.sh.
% 0.56/0.74  % BCE start: 11
% 0.56/0.74  % BCE eliminated: 0
% 0.56/0.74  % PE start: 11
% 0.56/0.74  logic: eq
% 0.56/0.74  % PE eliminated: 1
% 0.56/0.74  % done 18 iterations in 0.011s
% 0.56/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.74  % SZS output start Refutation
% See solution above
% 0.56/0.74  
% 0.56/0.74  
% 0.56/0.74  % Terminating...
% 1.46/0.85  % Runner terminated.
% 1.46/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------