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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV385^5 : 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.RvsbMcc7Vl 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 04:57:37 PM UTC 2025

% Result   : Theorem 0.51s 0.85s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   27 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :  175 ( 121 equ;  48 cnn)
%            Maximal formula atoms :   15 (   6 avg)
%            Number of connectives :  408 (  34   ~;  14   |;  25   &; 296   @)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   8 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  10 usr;  10 con; 0-6 aty)
%                                         (  11  !!;  11  ??;   0 @@+;   0 @@-)
%            Number of variables   :   44 (  13   ^;  27   !;   4   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $tType ).

thf(a_type,type,
    a: $tType ).

thf('#sk2_type',type,
    '#sk2': ( b > a ) > a ).

thf('#sk4_type',type,
    '#sk4': b > b ).

thf(x_type,type,
    x: b ).

thf(y_type,type,
    y: a ).

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

thf(s_comb_type,type,
    '#S': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).

thf(c_comb_type,type,
    '#C': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).

thf(b_comb_type,type,
    '#B': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).

thf(k_comb_type,type,
    '#K': 
      !>[A: $tType,B: $tType] : ( B > A > B ) ).

thf(i_comb_type,type,
    '#I': 
      !>[A: $tType] : ( A > A ) ).

thf(cX6004_pme,conjecture,
    ? [Xs: b > a] :
      ( ! [Xx_6: b] :
          ( ( x = Xx_6 )
         => ( y
            = ( Xs @ Xx_6 ) ) )
      & ! [Xy_56: a] :
          ( ( y = Xy_56 )
         => ? [Xy0: b] :
              ( ( ^ [Xx_7: b] :
                    ( ( Xy_56
                      = ( Xs @ Xx_7 ) )
                    & ( x = Xx_7 ) ) )
              = ( ^ [Xx: b,Xy: b] : ( Xx = Xy )
                @ Xy0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Xs: b > a] :
        ( ! [Xx_6: b] :
            ( ( x = Xx_6 )
           => ( y
              = ( Xs @ Xx_6 ) ) )
        & ! [Xy_56: a] :
            ( ( y = Xy_56 )
           => ? [Xy0: b] :
                ( ( ^ [Xx_7: b] :
                      ( ( Xy_56
                        = ( Xs @ Xx_7 ) )
                      & ( x = Xx_7 ) ) )
                = ( ^ [Xx: b,Xy: b] : ( Xx = Xy )
                  @ Xy0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[cX6004_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ??
      @ ^ [Y0: b > a] :
          ( ( !!
            @ ^ [Y1: b] :
                ( ( x = Y1 )
               => ( y
                  = ( Y0 @ Y1 ) ) ) )
          & ( !!
            @ ^ [Y1: a] :
                ( ( y = Y1 )
               => ( ??
                  @ ^ [Y2: b] :
                      ( ( ^ [Y3: b] :
                            ( ( Y1
                              = ( Y0 @ Y3 ) )
                            & ( x = Y3 ) ) )
                      = ( ^ [Y3: b,Y4: b] : ( Y3 = Y4 )
                        @ Y2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( ?? @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ ( b = x ) ) ) @ ( '#B' @ ( a = y ) ) ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ ( a = y ) ) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ (=) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) @ ( b = x ) ) ) ) ) @ (=) ) ) ) ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: b > a] :
      ~ ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( b = x ) ) @ ( '#B' @ ( a = y ) @ X2 ) ) )
        & ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( a = y ) ) @ ( '#B' @ ?? @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( b = x ) ) ) ) @ (=) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: b > a] :
      ( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( b = x ) ) @ ( '#B' @ ( a = y ) @ X2 ) ) )
      | ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( a = y ) ) @ ( '#B' @ ?? @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( b = x ) ) ) ) @ (=) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X2: b > a] :
      ( ~ ( ( x
            = ( '#sk1' @ X2 ) )
         => ( y
            = ( X2 @ ( '#sk1' @ X2 ) ) ) )
      | ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( a = y ) ) @ ( '#B' @ ?? @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( b = x ) ) ) ) @ (=) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ! [X2: b > a] :
      ( ( y
       != ( X2 @ ( '#sk1' @ X2 ) ) )
      | ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( a = y ) ) @ ( '#B' @ ?? @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( b = x ) ) ) ) @ (=) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl9,plain,
    ! [X2: b > a] :
      ( ( y
       != ( X2 @ ( '#sk1' @ X2 ) ) )
      | ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( a = y ) ) @ ( '#B' @ ?? @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( b = x ) ) ) ) @ (=) ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl10,plain,
    ! [X2: b > a] :
      ( ~ ( ( y
            = ( '#sk2' @ X2 ) )
         => ( ??
            @ ( '#B'
              @ ( (>)
                = ( '#S'
                  @ ( '#B' @ (&)
                    @ ( '#B'
                      @ ( a
                        = ( '#sk2' @ X2 ) )
                      @ X2 ) )
                  @ ( b = x ) ) )
              @ (=) ) ) )
      | ( y
       != ( X2 @ ( '#sk1' @ X2 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl13,plain,
    ! [X2: b > a] :
      ( ( y
        = ( '#sk2' @ X2 ) )
      | ( y
       != ( X2 @ ( '#sk1' @ X2 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl17,plain,
    ! [X2: b > a] :
      ( ( y
        = ( '#sk2' @ X2 ) )
      | ( y
       != ( X2 @ ( '#sk1' @ X2 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl24,plain,
    ! [X0: a] :
      ( ( y
        = ( '#sk2' @ ( '#K' @ X0 ) ) )
      | ( y
       != ( '#K' @ X0 @ ( '#sk1' @ ( '#K' @ X0 ) ) ) ) ),
    inference(narrow_applied_variable,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl25,plain,
    ! [X0: a] :
      ( ( y
        = ( '#sk2' @ ( '#K' @ X0 ) ) )
      | ( y != X0 ) ),
    inference('comb-normalize',[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl39,plain,
    ( y
    = ( '#sk2' @ ( '#K' @ y ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl14,plain,
    ! [X2: b > a] :
      ( ~ ( ??
          @ ( '#B'
            @ ( (>)
              = ( '#S'
                @ ( '#B' @ (&)
                  @ ( '#B'
                    @ ( a
                      = ( '#sk2' @ X2 ) )
                    @ X2 ) )
                @ ( b = x ) ) )
            @ (=) ) )
      | ( y
       != ( X2 @ ( '#sk1' @ X2 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl18,plain,
    ! [X2: b > a,X4: b] :
      ( ( ( '#S'
          @ ( '#B' @ (&)
            @ ( '#B'
              @ ( a
                = ( '#sk2' @ X2 ) )
              @ X2 ) )
          @ ( b = x ) )
       != ( b = X4 ) )
      | ( y
       != ( X2 @ ( '#sk1' @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl20,plain,
    ! [X2: b > a,X4: b] :
      ( ( ( '#S'
          @ ( '#B' @ (&)
            @ ( '#B'
              @ ( a
                = ( '#sk2' @ X2 ) )
              @ X2 ) )
          @ ( b = x ) )
       != ( b = X4 ) )
      | ( y
       != ( X2 @ ( '#sk1' @ X2 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl59,plain,
    ! [X0: b] :
      ( ( ( '#S' @ ( '#B' @ (&) @ ( '#B' @ ( a = y ) @ ( '#K' @ y ) ) ) @ ( b = x ) )
       != ( b = X0 ) )
      | ( y
       != ( '#K' @ y @ ( '#sk1' @ ( '#K' @ y ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl20]) ).

thf(zip_derived_cl78,plain,
    ! [X0: b] :
      ( ( ( '#S' @ ( '#B' @ (&) @ ( '#K' @ ( y = y ) ) ) @ ( b = x ) )
       != ( b = X0 ) )
      | ( y != y ) ),
    inference('comb-normalize',[status(thm)],[zip_derived_cl59]) ).

thf(zip_derived_cl79,plain,
    ! [X0: b] :
      ( ( '#S' @ ( '#B' @ (&) @ ( '#K' @ ( y = y ) ) ) @ ( b = x ) )
     != ( b = X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl78]) ).

thf(zip_derived_cl80,plain,
    ! [X0: b] :
      ( ( '#S' @ ( '#K' @ ( (&) @ ( y = y ) ) ) @ ( b = x ) )
     != ( b = X0 ) ),
    inference('comb-normalize',[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl81,plain,
    ! [X0: b] :
      ( ( '#S' @ ( '#K' @ ( (&) @ $true ) ) @ ( b = x ) )
     != ( b = X0 ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl82,plain,
    ! [X0: b] :
      ( ( '#B' @ ( (&) @ $true ) @ ( b = x ) )
     != ( b = X0 ) ),
    inference('comb-normalize',[status(thm)],[zip_derived_cl81]) ).

thf(zip_derived_cl83,plain,
    ! [X0: b] :
      ( ( $true
        & ( x
          = ( '#sk4' @ X0 ) ) )
     != ( X0
        = ( '#sk4' @ X0 ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl82]) ).

thf(zip_derived_cl84,plain,
    ! [X0: b] :
      ( ( x
        = ( '#sk4' @ X0 ) )
     != ( X0
        = ( '#sk4' @ X0 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl83]) ).

thf(zip_derived_cl87,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl84]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEV385^5 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RvsbMcc7Vl true
% 0.13/0.35  % Computer : n020.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
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Wed Oct  1 15:36:53 EDT 2025
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.50/0.66  % Total configuration time : 828
% 0.50/0.66  % Estimated wc time : 1656
% 0.50/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.73  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.74  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.74  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.51/0.85  % Solved by lams/40_b.comb.sh.
% 0.51/0.85  % done 9 iterations in 0.093s
% 0.51/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.85  % SZS output start Refutation
% See solution above
% 0.51/0.85  
% 0.51/0.85  
% 0.51/0.85  % Terminating...
% 0.60/0.95  % Runner terminated.
% 0.60/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------