↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO274^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GqZq6uYkJt true

% Computer : n012.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 05:07:09 PM UTC 2025

% Result   : Theorem 0.59s 0.83s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   31 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   44 (  23 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  217 (  16   ~;  25   |;   2   &; 154   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   68 (   5   ^;  63   !;   0   ?;  68   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(b_type,type,
    b: $tType ).

thf(c_type,type,
    c: $tType ).

thf(cF_type,type,
    cF: b > a ).

thf(sk__3_type,type,
    sk__3: c > c > b > $o ).

thf(sk__1_type,type,
    sk__1: c ).

thf(sk__2_type,type,
    sk__2: c > $o ).

thf(sk__4_type,type,
    sk__4: b > b > a > $o ).

thf(cG_type,type,
    cG: c > b ).

thf(sk__type,type,
    sk_: c ).

thf(cTHM48_EXPD,conjecture,
    ( ( ! [Xx: b,Xy: b] :
          ( ! [Xq: a > $o] :
              ( ( Xq @ ( cF @ Xx ) )
             => ( Xq @ ( cF @ Xy ) ) )
         => ! [Xq: b > $o] :
              ( ( Xq @ Xx )
             => ( Xq @ Xy ) ) )
      & ! [Xx: c,Xy: c] :
          ( ! [Xq: b > $o] :
              ( ( Xq @ ( cG @ Xx ) )
             => ( Xq @ ( cG @ Xy ) ) )
         => ! [Xq: c > $o] :
              ( ( Xq @ Xx )
             => ( Xq @ Xy ) ) ) )
   => ! [Xx: c,Xy: c] :
        ( ! [Xq: a > $o] :
            ( ( Xq @ ( cF @ ( cG @ Xx ) ) )
           => ( Xq @ ( cF @ ( cG @ Xy ) ) ) )
       => ! [Xq: c > $o] :
            ( ( Xq @ Xx )
           => ( Xq @ Xy ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: b,Xy: b] :
            ( ! [Xq: a > $o] :
                ( ( Xq @ ( cF @ Xx ) )
               => ( Xq @ ( cF @ Xy ) ) )
           => ! [Xq: b > $o] :
                ( ( Xq @ Xx )
               => ( Xq @ Xy ) ) )
        & ! [Xx: c,Xy: c] :
            ( ! [Xq: b > $o] :
                ( ( Xq @ ( cG @ Xx ) )
               => ( Xq @ ( cG @ Xy ) ) )
           => ! [Xq: c > $o] :
                ( ( Xq @ Xx )
               => ( Xq @ Xy ) ) ) )
     => ! [Xx: c,Xy: c] :
          ( ! [Xq: a > $o] :
              ( ( Xq @ ( cF @ ( cG @ Xx ) ) )
             => ( Xq @ ( cF @ ( cG @ Xy ) ) ) )
         => ! [Xq: c > $o] :
              ( ( Xq @ Xx )
             => ( Xq @ Xy ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM48_EXPD]) ).

thf(zip_derived_cl5,plain,
    ~ ( sk__2 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: b > $o,X1: b,X2: b] :
      ( ~ ( X0 @ X1 )
      | ( X0 @ X2 )
      | ~ ( sk__4 @ X2 @ X1 @ ( cF @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100,plain,
    ! [X0: b,X1: b] :
      ( ~ ( sk__4 @ X0 @ X1 @ ( cF @ X0 ) )
      | ( ^ [Y0: b] : ( Y0 = X1 )
        @ X0 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl109,plain,
    ! [X0: b,X1: b] :
      ( ~ ( sk__4 @ X0 @ X1 @ ( cF @ X0 ) )
      | ( X0 = X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl100]) ).

thf(zip_derived_cl110,plain,
    ! [X0: b,X1: b] :
      ( ~ ( sk__4 @ X0 @ X1 @ ( cF @ X0 ) )
      | ( X0 = X1 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl109]) ).

thf(zip_derived_cl6,plain,
    ! [X6: a > $o] :
      ( ( X6 @ ( cF @ ( cG @ sk__1 ) ) )
      | ~ ( X6 @ ( cF @ ( cG @ sk_ ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52,plain,
    ( ^ [Y0: a] :
        ( Y0
        = ( cF @ ( cG @ sk_ ) ) )
    @ ( cF @ ( cG @ sk__1 ) ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl64,plain,
    ( ( cF @ ( cG @ sk__1 ) )
    = ( cF @ ( cG @ sk_ ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl65,plain,
    ( ( cF @ ( cG @ sk__1 ) )
    = ( cF @ ( cG @ sk_ ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl0,plain,
    ! [X0: b > $o,X1: b,X2: b] :
      ( ~ ( X0 @ X1 )
      | ( X0 @ X2 )
      | ( sk__4 @ X2 @ X1 @ ( cF @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X0: b,X1: b] :
      ( ( sk__4 @ X1 @ X0 @ ( cF @ X0 ) )
      | ( ^ [Y0: b] : ( Y0 = X0 )
        @ X1 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl21,plain,
    ! [X0: b,X1: b] :
      ( ( sk__4 @ X1 @ X0 @ ( cF @ X0 ) )
      | ( X1 = X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl22,plain,
    ! [X0: b,X1: b] :
      ( ( sk__4 @ X1 @ X0 @ ( cF @ X0 ) )
      | ( X1 = X0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl94,plain,
    ! [X0: b] :
      ( ( sk__4 @ X0 @ ( cG @ sk__1 ) @ ( cF @ ( cG @ sk_ ) ) )
      | ( X0
        = ( cG @ sk__1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl65,zip_derived_cl22]) ).

thf(zip_derived_cl154,plain,
    ( ( ( cG @ sk_ )
      = ( cG @ sk__1 ) )
    | ( ( cG @ sk_ )
      = ( cG @ sk__1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl94]) ).

thf(zip_derived_cl158,plain,
    ( ( cG @ sk_ )
    = ( cG @ sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl154]) ).

thf(zip_derived_cl3,plain,
    ! [X3: c > $o,X4: c,X5: c] :
      ( ~ ( X3 @ X4 )
      | ( X3 @ X5 )
      | ~ ( sk__3 @ X5 @ X4 @ ( cG @ X5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135,plain,
    ! [X0: c,X1: c] :
      ( ~ ( sk__3 @ X0 @ X1 @ ( cG @ X0 ) )
      | ( ^ [Y0: c] : ( Y0 = X1 )
        @ X0 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl144,plain,
    ! [X0: c,X1: c] :
      ( ~ ( sk__3 @ X0 @ X1 @ ( cG @ X0 ) )
      | ( X0 = X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl145,plain,
    ! [X0: c,X1: c] :
      ( ~ ( sk__3 @ X0 @ X1 @ ( cG @ X0 ) )
      | ( X0 = X1 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl144]) ).

thf(zip_derived_cl165,plain,
    ! [X0: c] :
      ( ~ ( sk__3 @ sk__1 @ X0 @ ( cG @ sk_ ) )
      | ( sk__1 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl145]) ).

thf(zip_derived_cl2,plain,
    ! [X3: c > $o,X4: c,X5: c] :
      ( ~ ( X3 @ X4 )
      | ( X3 @ X5 )
      | ( sk__3 @ X5 @ X4 @ ( cG @ X4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl171,plain,
    ! [X0: c,X1: c] :
      ( ( sk__3 @ X1 @ X0 @ ( cG @ X0 ) )
      | ( ^ [Y0: c] : ( Y0 = X0 )
        @ X1 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl182,plain,
    ! [X0: c,X1: c] :
      ( ( sk__3 @ X1 @ X0 @ ( cG @ X0 ) )
      | ( X1 = X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl171]) ).

thf(zip_derived_cl183,plain,
    ! [X0: c,X1: c] :
      ( ( sk__3 @ X1 @ X0 @ ( cG @ X0 ) )
      | ( X1 = X0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl182]) ).

thf(zip_derived_cl208,plain,
    ( ( sk__1 = sk_ )
    | ( sk__1 = sk_ ) ),
    inference('sup+',[status(thm)],[zip_derived_cl165,zip_derived_cl183]) ).

thf(zip_derived_cl219,plain,
    sk__1 = sk_,
    inference(simplify,[status(thm)],[zip_derived_cl208]) ).

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

thf(zip_derived_cl234,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl219,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYO274^5 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GqZq6uYkJt true
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed Oct  1 17:51:53 EDT 2025
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.35  % Running in HO mode
% 0.57/0.69  % Total configuration time : 828
% 0.57/0.69  % Estimated wc time : 1656
% 0.57/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.80  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.80  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.83  % Solved by lams/40_c_ic.sh.
% 0.59/0.83  % done 36 iterations in 0.042s
% 0.59/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.83  % SZS output start Refutation
% See solution above
% 0.59/0.83  
% 0.59/0.83  
% 0.59/0.83  % Terminating...
% 0.62/0.88  % Runner terminated.
% 1.86/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------