↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM696^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c6CImzKCBY true

% Computer : n020.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 04:48:02 PM UTC 2025

% Result   : Theorem 0.55s 0.80s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :   34 (  33 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  126 (  19   ~;   4   |;   0   &;  99   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :   33 (   0   ^;  33   !;   0   ?;  33   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

thf(y_type,type,
    y: nat ).

thf(n_1_type,type,
    n_1: nat ).

thf(pl_type,type,
    pl: nat > nat > nat ).

thf(x_type,type,
    x: nat ).

thf(sk__1_type,type,
    sk__1: nat > nat ).

thf(sk__2_type,type,
    sk__2: nat > nat > nat > nat ).

thf(sk__type,type,
    sk_: nat ).

thf(m,axiom,
    ~ ! [Xx_0: nat] :
        ( y
       != ( pl @ x @ Xx_0 ) ) ).

thf(zip_derived_cl0,plain,
    ( y
    = ( pl @ x @ sk_ ) ),
    inference(cnf,[status(esa)],[m]) ).

thf(zip_derived_cl0_001,plain,
    ( y
    = ( pl @ x @ sk_ ) ),
    inference(cnf,[status(esa)],[m]) ).

thf(satz24,axiom,
    ! [Xx: nat] :
      ( ! [Xx_0: nat] :
          ( Xx
         != ( pl @ n_1 @ Xx_0 ) )
     => ( Xx = n_1 ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: nat] :
      ( ( X0 = n_1 )
      | ( X0
        = ( pl @ n_1 @ ( sk__1 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[satz24]) ).

thf(satz19a,axiom,
    ! [Xx: nat,Xy: nat,Xz: nat] :
      ( ~ ! [Xx_0: nat] :
            ( Xx
           != ( pl @ Xy @ Xx_0 ) )
     => ~ ! [Xx_0: nat] :
            ( ( pl @ Xx @ Xz )
           != ( pl @ ( pl @ Xy @ Xz ) @ Xx_0 ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( ( X2
       != ( pl @ X0 @ X1 ) )
      | ( ( pl @ X2 @ X3 )
        = ( pl @ ( pl @ X0 @ X3 ) @ ( sk__2 @ X3 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[satz19a]) ).

thf(zip_derived_cl17,plain,
    ! [X0: nat,X1: nat,X3: nat] :
      ( ( pl @ ( pl @ X0 @ X1 ) @ X3 )
      = ( pl @ ( pl @ X0 @ X3 ) @ ( sk__2 @ X3 @ X0 @ ( pl @ X0 @ X1 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3]) ).

thf(satz25,conjecture,
    ( ! [Xx_0: nat] :
        ( y
       != ( pl @ ( pl @ x @ n_1 ) @ Xx_0 ) )
   => ( y
      = ( pl @ x @ n_1 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [Xx_0: nat] :
          ( y
         != ( pl @ ( pl @ x @ n_1 ) @ Xx_0 ) )
     => ( y
        = ( pl @ x @ n_1 ) ) ),
    inference('cnf.neg',[status(esa)],[satz25]) ).

thf(zip_derived_cl5,plain,
    ! [X0: nat] :
      ( y
     != ( pl @ ( pl @ x @ n_1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(satz6,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( pl @ Xx @ Xy )
      = ( pl @ Xy @ Xx ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: nat,X1: nat] :
      ( ( pl @ X1 @ X0 )
      = ( pl @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[satz6]) ).

thf(zip_derived_cl8,plain,
    ! [X0: nat] :
      ( y
     != ( pl @ ( pl @ n_1 @ x ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).

thf(zip_derived_cl18,plain,
    ! [X0: nat] :
      ( y
     != ( pl @ ( pl @ n_1 @ X0 ) @ x ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl8]) ).

thf(zip_derived_cl4_002,plain,
    ! [X0: nat,X1: nat] :
      ( ( pl @ X1 @ X0 )
      = ( pl @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[satz6]) ).

thf(zip_derived_cl47,plain,
    ! [X0: nat] :
      ( y
     != ( pl @ x @ ( pl @ n_1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl4]) ).

thf(zip_derived_cl66,plain,
    ! [X0: nat] :
      ( ( y
       != ( pl @ x @ X0 ) )
      | ( X0 = n_1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl47]) ).

thf(zip_derived_cl72,plain,
    ( ( y != y )
    | ( sk_ = n_1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl66]) ).

thf(zip_derived_cl78,plain,
    sk_ = n_1,
    inference(simplify,[status(thm)],[zip_derived_cl72]) ).

thf(zip_derived_cl4_003,plain,
    ! [X0: nat,X1: nat] :
      ( ( pl @ X1 @ X0 )
      = ( pl @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[satz6]) ).

thf(zip_derived_cl80,plain,
    ( y
    = ( pl @ n_1 @ x ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl78,zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ( y
   != ( pl @ x @ n_1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_004,plain,
    ! [X0: nat,X1: nat] :
      ( ( pl @ X1 @ X0 )
      = ( pl @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[satz6]) ).

thf(zip_derived_cl7,plain,
    ( y
   != ( pl @ n_1 @ x ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl4]) ).

thf(zip_derived_cl81,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl80,zip_derived_cl7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.16  % Problem  : NUM696^1 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.17  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c6CImzKCBY true
% 0.12/0.38  % Computer : n020.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8042.1875MB
% 0.12/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Wed Oct  1 16:42:23 EDT 2025
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  % Running portfolio for 300 s
% 0.12/0.38  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38  % Number of cores: 8
% 0.12/0.39  % Python version: Python 3.6.8
% 0.12/0.39  % Running in HO mode
% 0.54/0.71  % Total configuration time : 828
% 0.54/0.71  % Estimated wc time : 1656
% 0.54/0.71  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.80  % Solved by lams/40_c.s.sh.
% 0.55/0.80  % done 19 iterations in 0.025s
% 0.55/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.80  % SZS output start Refutation
% See solution above
% 0.55/0.80  
% 0.55/0.80  
% 0.55/0.80  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.80  % Terminating...
% 0.64/0.90  % Runner terminated.
% 0.64/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------