TSTP Solution File: SEV239^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV239^5 : 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.xajmn35K2a true

% Computer : n010.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 20:00:09 EDT 2023

% Result   : Theorem 1.44s 0.83s
% Output   : Refutation 1.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   51 (  19 unt;   6 typ;   0 def)
%            Number of atoms       :  164 (  76 equ;   0 cnn)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :  228 (  51   ~;  37   |;  28   &;  94   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   5 con; 0-2 aty)
%                                         (   0  !!;  18  ??;   0 @@+;   0 @@-)
%            Number of variables   :   49 (  31   ^;  12   !;   6   ?;  49   :)

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

thf('#sk13_type',type,
    '#sk13': a > $o ).

thf('#sk19_type',type,
    '#sk19': a ).

thf(y_type,type,
    y: a > $o ).

thf('#sk14_type',type,
    '#sk14': a ).

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

thf(cX5211_pme,conjecture,
    ( y
    = ( ^ [Xx: a] :
        ? [S: a > $o] :
          ( ( S @ Xx )
          & ? [Xx0: a] :
              ( ( S
                = ( ^ [Xx: a,Xy: a] : ( Xx = Xy )
                  @ Xx0 ) )
              & ( y @ Xx0 ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( y
    = ( ^ [V_1: a] :
        ? [X4: a > $o] :
          ( ? [X6: a] :
              ( ( y @ X6 )
              & ( X4
                = ( ^ [V_2: a] : ( X6 = V_2 ) ) ) )
          & ( X4 @ V_1 ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ( y
   != ( ^ [V_1: a] :
        ? [X4: a > $o] :
          ( ? [X6: a] :
              ( ( y @ X6 )
              & ( X4
                = ( ^ [V_2: a] : ( X6 = V_2 ) ) ) )
          & ( X4 @ V_1 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ( y
   != ( ^ [Y0: a] :
          ( ??
          @ ^ [Y1: a > $o] :
              ( ( ??
                @ ^ [Y2: a] :
                    ( ( y @ Y2 )
                    & ( Y1
                      = ( ^ [Y3: a] : ( Y2 = Y3 ) ) ) ) )
              & ( Y1 @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ( y
   != ( ^ [Y0: a] :
          ( ??
          @ ^ [Y1: a > $o] :
              ( ( ??
                @ ^ [Y2: a] :
                    ( ( y @ Y2 )
                    & ( Y1
                      = ( a = Y2 ) ) ) )
              & ( Y1 @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ( ( y @ '#sk1' )
   != ( ??
      @ ^ [Y0: a > $o] :
          ( ( ??
            @ ^ [Y1: a] :
                ( ( y @ Y1 )
                & ( ( ^ [Y2: a] : ( Y0 @ Y2 ) )
                  = ( ^ [Y2: a] : ( Y1 = Y2 ) ) ) ) )
          & ( Y0 @ '#sk1' ) ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ( ( y @ '#sk1' )
   != ( ??
      @ ^ [Y0: a > $o] :
          ( ( ??
            @ ^ [Y1: a] :
                ( ( y @ Y1 )
                & ( Y0
                  = ( a = Y1 ) ) ) )
          & ( Y0 @ '#sk1' ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ( ~ ( y @ '#sk1' )
    | ~ ( ??
        @ ^ [Y0: a > $o] :
            ( ( ??
              @ ^ [Y1: a] :
                  ( ( y @ Y1 )
                  & ( Y0
                    = ( a = Y1 ) ) ) )
            & ( Y0 @ '#sk1' ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ! [X2: a > $o] :
      ( ~ ( ( ??
            @ ^ [Y0: a] :
                ( ( y @ Y0 )
                & ( X2
                  = ( a = Y0 ) ) ) )
          & ( X2 @ '#sk1' ) )
      | ~ ( y @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ! [X2: a > $o] :
      ( ~ ( ??
          @ ^ [Y0: a] :
              ( ( y @ Y0 )
              & ( X2
                = ( a = Y0 ) ) ) )
      | ~ ( X2 @ '#sk1' )
      | ~ ( y @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl11,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( ( y @ X4 )
          & ( X2
            = ( a = X4 ) ) )
      | ~ ( y @ '#sk1' )
      | ~ ( X2 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl12,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( y @ X4 )
      | ( X2
       != ( a = X4 ) )
      | ~ ( X2 @ '#sk1' )
      | ~ ( y @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl13,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( y @ X4 )
      | ( X2
       != ( a = X4 ) )
      | ~ ( X2 @ '#sk1' )
      | ~ ( y @ '#sk1' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl16,plain,
    ! [X0: a > $o] :
      ( ~ ( X0 @ '#sk1' )
      | ( X0
       != ( a = '#sk1' ) )
      | ~ ( y @ '#sk1' ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl21,plain,
    ( ~ ( y @ '#sk1' )
    | ( ( ^ [Y0: a] : ( Y0 = '#sk1' ) )
     != ( a = '#sk1' ) ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl41,plain,
    ( ~ ( y @ '#sk1' )
    | ( ( '#sk19' = '#sk1' )
     != ( '#sk1' = '#sk19' ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl133,plain,
    ( ( '#sk19' = '#sk1' )
    | ( '#sk1' = '#sk19' )
    | ~ ( y @ '#sk1' ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl135,plain,
    ( ( '#sk19' = '#sk1' )
    | ( '#sk1' = '#sk19' )
    | ~ ( y @ '#sk1' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl136,plain,
    ( ~ ( y @ '#sk1' )
    | ( '#sk19' = '#sk1' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl41_001,plain,
    ( ~ ( y @ '#sk1' )
    | ( ( '#sk19' = '#sk1' )
     != ( '#sk1' = '#sk19' ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl134,plain,
    ( ( '#sk19' != '#sk1' )
    | ( '#sk1' != '#sk19' )
    | ~ ( y @ '#sk1' ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl137,plain,
    ( ( '#sk19' != '#sk1' )
    | ( '#sk1' != '#sk19' )
    | ~ ( y @ '#sk1' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl134]) ).

thf(zip_derived_cl138,plain,
    ( ~ ( y @ '#sk1' )
    | ( '#sk19' != '#sk1' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl137]) ).

thf(zip_derived_cl151,plain,
    ~ ( y @ '#sk1' ),
    inference(clc,[status(thm)],[zip_derived_cl136,zip_derived_cl138]) ).

thf(zip_derived_cl3_002,plain,
    ( ( y @ '#sk1' )
   != ( ??
      @ ^ [Y0: a > $o] :
          ( ( ??
            @ ^ [Y1: a] :
                ( ( y @ Y1 )
                & ( Y0
                  = ( a = Y1 ) ) ) )
          & ( Y0 @ '#sk1' ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ( ( y @ '#sk1' )
    | ( ??
      @ ^ [Y0: a > $o] :
          ( ( ??
            @ ^ [Y1: a] :
                ( ( y @ Y1 )
                & ( Y0
                  = ( a = Y1 ) ) ) )
          & ( Y0 @ '#sk1' ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl24,plain,
    ( ( ( ??
        @ ^ [Y0: a] :
            ( ( y @ Y0 )
            & ( '#sk13'
              = ( a = Y0 ) ) ) )
      & ( '#sk13' @ '#sk1' ) )
    | ( y @ '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl25,plain,
    ( ( ??
      @ ^ [Y0: a] :
          ( ( y @ Y0 )
          & ( '#sk13'
            = ( a = Y0 ) ) ) )
    | ( y @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl27,plain,
    ( ( ( y @ '#sk14' )
      & ( '#sk13'
        = ( a = '#sk14' ) ) )
    | ( y @ '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl29,plain,
    ( ( '#sk13'
      = ( a = '#sk14' ) )
    | ( y @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl30,plain,
    ( ( '#sk13'
      = ( a = '#sk14' ) )
    | ( y @ '#sk1' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl153,plain,
    ( '#sk13'
    = ( a = '#sk14' ) ),
    inference('sup+',[status(thm)],[zip_derived_cl151,zip_derived_cl30]) ).

thf(zip_derived_cl170,plain,
    ! [X1: a] :
      ( ( '#sk13' @ X1 )
      = ( '#sk14' = X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl153]) ).

thf(zip_derived_cl178,plain,
    ! [X1: a] :
      ( ~ ( '#sk13' @ X1 )
      | ( '#sk14' = X1 ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl170]) ).

thf(zip_derived_cl182,plain,
    ! [X1: a] :
      ( ~ ( '#sk13' @ X1 )
      | ( '#sk14' = X1 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl178]) ).

thf(zip_derived_cl151_003,plain,
    ~ ( y @ '#sk1' ),
    inference(clc,[status(thm)],[zip_derived_cl136,zip_derived_cl138]) ).

thf(zip_derived_cl26,plain,
    ( ( '#sk13' @ '#sk1' )
    | ( y @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl155,plain,
    '#sk13' @ '#sk1',
    inference('sup+',[status(thm)],[zip_derived_cl151,zip_derived_cl26]) ).

thf(zip_derived_cl184,plain,
    '#sk14' = '#sk1',
    inference('sup+',[status(thm)],[zip_derived_cl182,zip_derived_cl155]) ).

thf(zip_derived_cl151_004,plain,
    ~ ( y @ '#sk1' ),
    inference(clc,[status(thm)],[zip_derived_cl136,zip_derived_cl138]) ).

thf(zip_derived_cl195,plain,
    ~ ( y @ '#sk14' ),
    inference('sup-',[status(thm)],[zip_derived_cl184,zip_derived_cl151]) ).

thf(zip_derived_cl151_005,plain,
    ~ ( y @ '#sk1' ),
    inference(clc,[status(thm)],[zip_derived_cl136,zip_derived_cl138]) ).

thf(zip_derived_cl28,plain,
    ( ( y @ '#sk14' )
    | ( y @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl154,plain,
    y @ '#sk14',
    inference('sup+',[status(thm)],[zip_derived_cl151,zip_derived_cl28]) ).

thf(zip_derived_cl196,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl154]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV239^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xajmn35K2a true
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 03:07:21 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  % Running portfolio for 300 s
% 0.20/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in HO mode
% 0.20/0.64  % Total configuration time : 828
% 0.20/0.64  % Estimated wc time : 1656
% 0.20/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.31/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.31/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.31/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.31/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.31/0.76  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.44/0.83  % Solved by lams/30_sp5.sh.
% 1.44/0.83  % done 51 iterations in 0.045s
% 1.44/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.44/0.83  % SZS output start Refutation
% See solution above
% 1.44/0.83  
% 1.44/0.83  
% 1.44/0.83  % Terminating...
% 1.68/0.86  % Runner terminated.
% 1.68/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------