↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU574^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.P02zWEyAvV true

% Computer : n017.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 04:55:08 PM UTC 2025

% Result   : Theorem 1.18s 0.77s
% Output   : Refutation 1.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   35 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :  107 (  27 equ;   0 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  276 (  20   ~;  28   |;   0   &; 192   @)
%                                         (   0 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   55 (   0   ^;  55   !;   0   ?;  55   :)

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

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

thf(subsetE_type,type,
    subsetE: $o ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(sk__9_type,type,
    sk__9: $i > $i > $i ).

thf(setext_type,type,
    setext: $o ).

thf(sk__10_type,type,
    sk__10: $i > $i > $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(subsetE,axiom,
    ( subsetE
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( subset @ A @ B )
         => ( ( in @ Xx @ A )
           => ( in @ Xx @ B ) ) ) ) ) ).

thf('0',plain,
    ( subsetE
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( subset @ X4 @ X6 )
         => ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

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

thf('1',plain,
    ( setext
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( ! [X10: $i] :
                ( ( in @ X10 @ X6 )
               => ( in @ X10 @ X4 ) )
           => ( X4 = X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(setextsub,conjecture,
    ( setext
   => ( subsetE
     => ! [A: $i,B: $i] :
          ( ( subset @ A @ B )
         => ( ( subset @ B @ A )
           => ( A = B ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i] :
        ( ! [X8: $i] :
            ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) )
       => ( ! [X10: $i] :
              ( ( in @ X10 @ X6 )
             => ( in @ X10 @ X4 ) )
         => ( X4 = X6 ) ) )
   => ( ! [X12: $i,X14: $i,X16: $i] :
          ( ( subset @ X12 @ X14 )
         => ( ( in @ X16 @ X12 )
           => ( in @ X16 @ X14 ) ) )
     => ! [X18: $i,X20: $i] :
          ( ( subset @ X18 @ X20 )
         => ( ( subset @ X20 @ X18 )
           => ( X18 = X20 ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( ! [X10: $i] :
                ( ( in @ X10 @ X6 )
               => ( in @ X10 @ X4 ) )
           => ( X4 = X6 ) ) )
     => ( ! [X12: $i,X14: $i,X16: $i] :
            ( ( subset @ X12 @ X14 )
           => ( ( in @ X16 @ X12 )
             => ( in @ X16 @ X14 ) ) )
       => ! [X18: $i,X20: $i] :
            ( ( subset @ X18 @ X20 )
           => ( ( subset @ X20 @ X18 )
             => ( X18 = X20 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( sk__9 @ X0 @ X1 ) @ X1 )
      | ( X1 = X0 )
      | ~ ( in @ ( sk__10 @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    subset @ sk__7 @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i,X3: $i,X4: $i] :
      ( ~ ( subset @ X2 @ X3 )
      | ( in @ X4 @ X3 )
      | ~ ( in @ X4 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__7 )
      | ( in @ X0 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ~ ( in @ ( sk__10 @ X0 @ sk__8 ) @ X0 )
      | ( sk__8 = X0 )
      | ~ ( in @ ( sk__9 @ X0 @ sk__8 ) @ sk__7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl9]) ).

thf(zip_derived_cl4,plain,
    subset @ sk__8 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7_001,plain,
    ! [X2: $i,X3: $i,X4: $i] :
      ( ~ ( subset @ X2 @ X3 )
      | ( in @ X4 @ X3 )
      | ~ ( in @ X4 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__8 )
      | ( in @ X0 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__9 @ X0 @ X1 ) @ X0 )
      | ( X1 = X0 )
      | ( in @ ( sk__10 @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__10 @ X0 @ sk__8 ) @ sk__7 )
      | ( sk__8 = X0 )
      | ( in @ ( sk__9 @ X0 @ sk__8 ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__9 @ X0 @ X1 ) @ X0 )
      | ( X1 = X0 )
      | ~ ( in @ ( sk__10 @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl74,plain,
    ( ( in @ ( sk__9 @ sk__7 @ sk__8 ) @ sk__7 )
    | ( sk__8 = sk__7 )
    | ( sk__8 = sk__7 )
    | ( in @ ( sk__9 @ sk__7 @ sk__8 ) @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl3]) ).

thf(zip_derived_cl94,plain,
    ( ( sk__8 = sk__7 )
    | ( in @ ( sk__9 @ sk__7 @ sk__8 ) @ sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl5,plain,
    sk__7 != sk__8,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl95,plain,
    in @ ( sk__9 @ sk__7 @ sk__8 ) @ sk__7,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl94,zip_derived_cl5]) ).

thf(zip_derived_cl9_002,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__7 )
      | ( in @ X0 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( sk__9 @ X0 @ X1 ) @ X1 )
      | ( X1 = X0 )
      | ( in @ ( sk__10 @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ~ ( in @ ( sk__9 @ X0 @ sk__8 ) @ sk__7 )
      | ( in @ ( sk__10 @ X0 @ sk__8 ) @ sk__8 )
      | ( sk__8 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(zip_derived_cl110,plain,
    ( ( sk__8 = sk__7 )
    | ( in @ ( sk__10 @ sk__7 @ sk__8 ) @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl24]) ).

thf(zip_derived_cl5_003,plain,
    sk__7 != sk__8,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl112,plain,
    in @ ( sk__10 @ sk__7 @ sk__8 ) @ sk__8,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl110,zip_derived_cl5]) ).

thf(zip_derived_cl8_004,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__8 )
      | ( in @ X0 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).

thf(zip_derived_cl114,plain,
    in @ ( sk__10 @ sk__7 @ sk__8 ) @ sk__7,
    inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl8]) ).

thf(zip_derived_cl121,plain,
    ( ~ ( in @ ( sk__9 @ sk__7 @ sk__8 ) @ sk__7 )
    | ( sk__8 = sk__7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl114]) ).

thf(zip_derived_cl95_005,plain,
    in @ ( sk__9 @ sk__7 @ sk__8 ) @ sk__7,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl94,zip_derived_cl5]) ).

thf(zip_derived_cl128,plain,
    sk__8 = sk__7,
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl95]) ).

thf(zip_derived_cl5_006,plain,
    sk__7 != sk__8,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl129,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl128,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem  : SEU574^2 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.P02zWEyAvV true
% 0.14/0.34  % Computer : n017.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 16:09:38 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.66/0.65  % Total configuration time : 828
% 0.66/0.65  % Estimated wc time : 1656
% 0.66/0.65  % Estimated cpu time (8 cpus) : 207.0
% 1.06/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.06/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.06/0.71  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.06/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.06/0.72  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.06/0.72  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.06/0.73  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.06/0.74  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.18/0.77  % Solved by lams/40_c.s.sh.
% 1.18/0.77  % done 27 iterations in 0.045s
% 1.18/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.18/0.77  % SZS output start Refutation
% See solution above
% 1.18/0.77  
% 1.18/0.77  
% 1.18/0.77  % Terminating...
% 1.18/0.84  % Runner terminated.
% 1.18/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------