↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU153+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.x87lcqBUDy true

% Computer : n029.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 04:53:37 PM UTC 2025

% Result   : Theorem 0.50s 0.78s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   43 (  16 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  117 (  22   ~;  14   |;   3   &;  72   @)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   35 (   0   ^;  35   !;   0   ?;  35   :)

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

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

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

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

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

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

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

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] :
      ( ( X1 != X0 )
      | ( in @ X1 @ X2 )
      | ( X2
       != ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X1 @ ( singleton @ X0 ) )
      | ( X1 != X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl35]) ).

thf(l25_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ~ ( ( disjoint @ ( singleton @ A ) @ B )
        & ( in @ A @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ~ ( ( disjoint @ ( singleton @ A ) @ B )
          & ( in @ A @ B ) ),
    inference('cnf.neg',[status(esa)],[l25_zfmisc_1]) ).

thf(zip_derived_cl22,plain,
    disjoint @ ( singleton @ 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_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_intersection2 @ X0 @ X1 )
        = empty_set )
      | ~ ( disjoint @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[d7_xboole_0]) ).

thf(zip_derived_cl36,plain,
    ( ( set_intersection2 @ ( singleton @ sk__3 ) @ sk__4 )
    = empty_set ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl14]) ).

thf(d3_xboole_0,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C
        = ( set_intersection2 @ A @ B ) )
    <=> ! [D: $i] :
          ( ( in @ D @ C )
        <=> ( ( in @ D @ A )
            & ( in @ D @ B ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( in @ X0 @ X2 )
      | ( in @ X0 @ X3 )
      | ( X3
       != ( set_intersection2 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[d3_xboole_0]) ).

thf(zip_derived_cl140,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != empty_set )
      | ( in @ X1 @ X0 )
      | ~ ( in @ X1 @ sk__4 )
      | ~ ( in @ X1 @ ( singleton @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl8]) ).

thf(d1_xboole_0,axiom,
    ! [A: $i] :
      ( ( A = empty_set )
    <=> ! [B: $i] :
          ~ ( in @ B @ A ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X1 != empty_set ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( singleton @ sk__3 ) )
      | ~ ( in @ X1 @ sk__4 )
      | ( X0 != empty_set ) ),
    inference(clc,[status(thm)],[zip_derived_cl140,zip_derived_cl6]) ).

thf(zip_derived_cl151,plain,
    ! [X0: $i] :
      ( ( X0 != empty_set )
      | ~ ( in @ sk__3 @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl150]) ).

thf(zip_derived_cl21,plain,
    in @ sk__3 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl155,plain,
    ! [X0: $i] : ( X0 != empty_set ),
    inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl21]) ).

thf(zip_derived_cl156,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl155]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SEU153+1 : TPTP v9.2.0. Released v3.3.0.
% 0.02/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.x87lcqBUDy true
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Oct  1 16:14:53 EDT 2025
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.32  % Running in FO mode
% 0.48/0.63  % Total configuration time : 435
% 0.48/0.63  % Estimated wc time : 1092
% 0.48/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.71  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.71  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.71  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.78  % Solved by fo/fo5.sh.
% 0.50/0.78  % done 73 iterations in 0.041s
% 0.50/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/0.78  % SZS output start Refutation
% See solution above
% 0.50/0.78  
% 0.50/0.78  
% 0.50/0.78  % Terminating...
% 0.50/0.83  % Runner terminated.
% 1.81/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------