TSTP Solution File: SEU864^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU864^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AqB8eVOML2 true

% Computer : n003.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 Aug 31 19:18:39 EDT 2023

% Result   : Theorem 0.22s 0.78s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (   5 unt;   3 typ;   0 def)
%            Number of atoms       :   98 (  49 equ;   0 cnn)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  160 (  20   ~;  26   |;   6   &;  71   @)
%                                         (   0 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   25 (  25   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   3 con; 0-2 aty)
%                                         (  14  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   61 (  44   ^;  17   !;   0   ?;  61   :)

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

thf('#sk1_type',type,
    '#sk1': ( a > $o ) > $o ).

thf(t_type,type,
    t: a ).

thf(cDOMLEMMA1_pme,conjecture,
    ! [X: ( a > $o ) > $o] :
      ( ( ! [Xx: a > $o] :
            ( ( X @ Xx )
           => ! [Xt_0: a] :
                ( ( t = Xt_0 )
               => ( X
                  @ ^ [Xz: a] :
                      ( ( Xt_0 = Xz )
                      | ( Xx @ Xz ) ) ) ) )
        & ( X
          @ ^ [Xy: a] : $false ) )
     => ( X
        @ ^ [Xy: a] : ( t = Xy ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: ( a > $o ) > $o] :
        ( ( ! [Xx: a > $o] :
              ( ( X @ Xx )
             => ! [Xt_0: a] :
                  ( ( t = Xt_0 )
                 => ( X
                    @ ^ [Xz: a] :
                        ( ( Xt_0 = Xz )
                        | ( Xx @ Xz ) ) ) ) )
          & ( X
            @ ^ [Xy: a] : $false ) )
       => ( X
          @ ^ [Xy: a] : ( t = Xy ) ) ),
    inference('cnf.neg',[status(esa)],[cDOMLEMMA1_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: ( a > $o ) > $o] :
          ( ( ( !!
              @ ^ [Y1: a > $o] :
                  ( ( Y0 @ Y1 )
                 => ( !!
                    @ ^ [Y2: a] :
                        ( ( t = Y2 )
                       => ( Y0
                          @ ^ [Y3: a] :
                              ( ( Y2 = Y3 )
                              | ( Y1 @ Y3 ) ) ) ) ) ) )
            & ( Y0
              @ ^ [Y1: a] : $false ) )
         => ( Y0
            @ ^ [Y1: a] : ( t = Y1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: ( a > $o ) > $o] :
          ( ( ( !!
              @ ^ [Y1: a > $o] :
                  ( ( Y0 @ Y1 )
                 => ( !!
                    @ ^ [Y2: a] :
                        ( ( t = Y2 )
                       => ( Y0
                          @ ^ [Y3: a] :
                              ( ( Y2 = Y3 )
                              | ( Y1 @ Y3 ) ) ) ) ) ) )
            & ( Y0
              @ ^ [Y1: a] : $false ) )
         => ( Y0 @ ( a = t ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( ( !!
          @ ^ [Y0: a > $o] :
              ( ( '#sk1' @ Y0 )
             => ( !!
                @ ^ [Y1: a] :
                    ( ( t = Y1 )
                   => ( '#sk1'
                      @ ^ [Y2: a] :
                          ( ( Y1 = Y2 )
                          | ( Y0 @ Y2 ) ) ) ) ) ) )
        & ( '#sk1'
          @ ^ [Y0: a] : $false ) )
     => ( '#sk1' @ ( a = t ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ( ( !!
      @ ^ [Y0: a > $o] :
          ( ( '#sk1' @ Y0 )
         => ( !!
            @ ^ [Y1: a] :
                ( ( t = Y1 )
               => ( '#sk1'
                  @ ^ [Y2: a] :
                      ( ( Y1 = Y2 )
                      | ( Y0 @ Y2 ) ) ) ) ) ) )
    & ( '#sk1'
      @ ^ [Y0: a] : $false ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ( '#sk1'
    @ ^ [Y0: a] : $false ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: a > $o] :
        ( ( '#sk1' @ Y0 )
       => ( !!
          @ ^ [Y1: a] :
              ( ( t = Y1 )
             => ( '#sk1'
                @ ^ [Y2: a] :
                    ( ( Y1 = Y2 )
                    | ( Y0 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X2: a > $o] :
      ( ( '#sk1' @ X2 )
     => ( !!
        @ ^ [Y0: a] :
            ( ( t = Y0 )
           => ( '#sk1'
              @ ^ [Y1: a] :
                  ( ( Y0 = Y1 )
                  | ( X2 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ! [X2: a > $o] :
      ( ~ ( '#sk1' @ X2 )
      | ( !!
        @ ^ [Y0: a] :
            ( ( t = Y0 )
           => ( '#sk1'
              @ ^ [Y1: a] :
                  ( ( Y0 = Y1 )
                  | ( X2 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ! [X2: a > $o,X4: a] :
      ( ( ( t = X4 )
       => ( '#sk1'
          @ ^ [Y0: a] :
              ( ( X4 = Y0 )
              | ( X2 @ Y0 ) ) ) )
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ! [X2: a > $o,X4: a] :
      ( ( t != X4 )
      | ( '#sk1'
        @ ^ [Y0: a] :
            ( ( X4 = Y0 )
            | ( X2 @ Y0 ) ) )
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl11,plain,
    ! [X2: a > $o,X4: a] :
      ( ( t != X4 )
      | ( '#sk1'
        @ ^ [Y0: a] :
            ( ( X4 = Y0 )
            | ( X2 @ Y0 ) ) )
      | ~ ( '#sk1' @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl12,plain,
    ! [X2: a > $o] :
      ( ~ ( '#sk1' @ X2 )
      | ( '#sk1'
        @ ^ [Y0: a] :
            ( ( t = Y0 )
            | ( X2 @ Y0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl4,plain,
    ~ ( '#sk1' @ ( a = t ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl15,plain,
    ! [X0: a > $o] :
      ( ( ( ^ [Y0: a] :
              ( ( t = Y0 )
              | ( X0 @ Y0 ) ) )
       != ( ^ [Y0: a] : ( t = Y0 ) ) )
      | ~ ( '#sk1' @ X0 ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl12,zip_derived_cl4]) ).

thf(zip_derived_cl16,plain,
    ! [X0: a > $o] :
      ( ( ( ^ [Y0: a] :
              ( ( t = Y0 )
              | ( X0 @ Y0 ) ) )
       != ( a = t ) )
      | ~ ( '#sk1' @ X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl20,plain,
    ( ( ^ [Y0: a] :
          ( ( t = Y0 )
          | ( ^ [Y1: a] : $false
            @ Y0 ) ) )
   != ( a = t ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl16]) ).

thf(zip_derived_cl22,plain,
    ( ( ^ [Y0: a] :
          ( ( t = Y0 )
          | $false ) )
   != ( a = t ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl23,plain,
    ( ( ^ [Y0: a] : ( t = Y0 ) )
   != ( a = t ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl24,plain,
    ( ( a = t )
   != ( a = t ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl25,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl24]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU864^5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AqB8eVOML2 true
% 0.14/0.35  % Computer : n003.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 Aug 23 13:45:22 EDT 2023
% 0.22/0.35  % CPUTime  : 
% 0.22/0.35  % Running portfolio for 300 s
% 0.22/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.36  % Number of cores: 8
% 0.22/0.36  % Python version: Python 3.6.8
% 0.22/0.36  % Running in HO mode
% 0.22/0.65  % Total configuration time : 828
% 0.22/0.65  % Estimated wc time : 1656
% 0.22/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.78  % Solved by lams/35_full_unif4.sh.
% 0.22/0.78  % done 3 iterations in 0.017s
% 0.22/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.78  % SZS output start Refutation
% See solution above
% 0.22/0.78  
% 0.22/0.78  
% 0.22/0.78  % Terminating...
% 1.60/0.85  % Runner terminated.
% 1.76/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------