↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG287^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XbdobP8VVP true

% Computer : n005.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 04:28:34 PM UTC 2025

% Result   : Theorem 0.65s 0.84s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   33 (  32 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   83 (   7   ~;   2   |;  10   &;  58   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

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

thf(x_type,type,
    x: a ).

thf(cZ_type,type,
    cZ: a ).

thf(u_type,type,
    u: a ).

thf(cR_type,type,
    cR: a > a ).

thf(cL_type,type,
    cL: a > a ).

thf(cP_type,type,
    cP: a > a > a ).

thf(y_type,type,
    y: a ).

thf(v_type,type,
    v: a ).

thf(cPU_P_INJ_pme,conjecture,
    ( ( ( ( cL @ cZ )
        = cZ )
      & ( ( cR @ cZ )
        = cZ )
      & ! [Xx0: a,Xy0: a] :
          ( ( cL @ ( cP @ Xx0 @ Xy0 ) )
          = Xx0 )
      & ! [Xx0: a,Xy0: a] :
          ( ( cR @ ( cP @ Xx0 @ Xy0 ) )
          = Xy0 )
      & ! [Xt: a] :
          ( ( Xt != cZ )
        <=> ( Xt
            = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) ) )
   => ( ( ( cP @ x @ u )
        = ( cP @ y @ v ) )
     => ( ( x = y )
        & ( u = v ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( cL @ cZ )
          = cZ )
        & ( ( cR @ cZ )
          = cZ )
        & ! [Xx0: a,Xy0: a] :
            ( ( cL @ ( cP @ Xx0 @ Xy0 ) )
            = Xx0 )
        & ! [Xx0: a,Xy0: a] :
            ( ( cR @ ( cP @ Xx0 @ Xy0 ) )
            = Xy0 )
        & ! [Xt: a] :
            ( ( Xt != cZ )
          <=> ( Xt
              = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) ) )
     => ( ( ( cP @ x @ u )
          = ( cP @ y @ v ) )
       => ( ( x = y )
          & ( u = v ) ) ) ),
    inference('cnf.neg',[status(esa)],[cPU_P_INJ_pme]) ).

thf(zip_derived_cl6,plain,
    ( ( x != y )
    | ( u != v ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ( ( cP @ x @ u )
    = ( cP @ y @ v ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: a,X1: a] :
      ( ( cL @ ( cP @ X0 @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ( ( cL @ ( cP @ y @ v ) )
    = x ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: a,X1: a] :
      ( ( cL @ ( cP @ X0 @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    y = x,
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl2]) ).

thf(zip_derived_cl7_002,plain,
    ( ( cP @ x @ u )
    = ( cP @ y @ v ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: a,X3: a] :
      ( ( cR @ ( cP @ X3 @ X2 ) )
      = X2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ( ( cR @ ( cP @ y @ v ) )
    = u ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl3]) ).

thf(zip_derived_cl3_003,plain,
    ! [X2: a,X3: a] :
      ( ( cR @ ( cP @ X3 @ X2 ) )
      = X2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    v = u,
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl3]) ).

thf(zip_derived_cl17,plain,
    ( ( y != y )
    | ( v != v ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl13,zip_derived_cl12]) ).

thf(zip_derived_cl18,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : ALG287^5 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XbdobP8VVP true
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 17:03:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.62/0.71  % Total configuration time : 828
% 0.62/0.71  % Estimated wc time : 1656
% 0.62/0.71  % Estimated cpu time (8 cpus) : 207.0
% 0.63/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.63/0.82  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.63/0.82  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.63/0.82  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.65/0.84  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.65/0.84  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.65/0.84  % Solved by lams/40_c.s.sh.
% 0.65/0.84  % done 9 iterations in 0.012s
% 0.65/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.65/0.84  % SZS output start Refutation
% See solution above
% 0.65/0.84  
% 0.65/0.84  
% 0.65/0.84  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.65/0.84  % Terminating...
% 0.69/0.93  % Runner terminated.
% 0.69/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------