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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU906^5 : 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.7xeViZ93HS 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 Oct  2 04:56:50 PM UTC 2025

% Result   : Theorem 29.86s 4.42s
% Output   : Refutation 29.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   14 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   36 (  11 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  128 (  13   ~;   4   |;   0   &;  92   @)
%                                         (   6 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   3 usr;   3 con; 0-2 aty)
%                                         (   5  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   47 (  28   ^;  17   !;   2   ?;  47   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f_type,type,
    f: $i > $i ).

thf('#sk2_type',type,
    '#sk2': ( $i > $o ) > $i ).

thf(cS_type,type,
    cS: $i > $o ).

thf(cSV5_pme,conjecture,
    ( ! [Xx: $i,Xy: $i] :
        ( ( ( f @ Xx )
          = ( f @ Xy ) )
       => ( Xx = Xy ) )
   => ? [Xu: $i > $o] :
      ! [Xx: $i] :
        ( ( cS @ Xx )
      <=> ( Xu @ ( f @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [Xx: $i,Xy: $i] :
          ( ( ( f @ Xx )
            = ( f @ Xy ) )
         => ( Xx = Xy ) )
     => ? [Xu: $i > $o] :
        ! [Xx: $i] :
          ( ( cS @ Xx )
        <=> ( Xu @ ( f @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[cSV5_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( f @ Y0 )
                  = ( f @ Y1 ) )
               => ( Y0 = Y1 ) ) ) )
     => ( ??
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( cS @ Y1 )
              <=> ( Y0 @ ( f @ Y1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ~ ( ??
      @ ^ [Y0: $i > $o] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( cS @ Y1 )
            <=> ( Y0 @ ( f @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i > $o] :
      ~ ( !!
        @ ^ [Y0: $i] :
            ( ( cS @ Y0 )
          <=> ( X2 @ ( f @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i > $o] :
      ~ ( ( cS @ ( '#sk2' @ X2 ) )
      <=> ( X2 @ ( f @ ( '#sk2' @ X2 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i > $o] :
      ( ( cS @ ( '#sk2' @ X2 ) )
     != ( X2 @ ( f @ ( '#sk2' @ X2 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl458,plain,
    ! [X0: $i,X1: $o] :
      ( ( ^ [Y0: $o,Y1: $i] :
            ( ^ [Y2: $o] : Y2
            @ Y0 )
        @ X1
        @ X0 )
      | ( ( cS
          @ ( '#sk2'
            @ ^ [Y0: $i] :
                ( ^ [Y1: $o,Y2: $i] :
                    ( ^ [Y3: $o,Y4: $i] :
                        ( ^ [Y5: $o] : Y5
                        @ Y3 )
                    @ Y1
                    @ Y2 )
                @ ( ^ [Y1: $i] : X1
                  @ Y0 )
                @ Y0 ) ) )
       != ( ^ [Y0: $o] :
              ( ^ [Y1: $o,Y2: $i] :
                  ( ^ [Y3: $o,Y4: $i] :
                      ( ^ [Y5: $o] : Y5
                      @ Y3 )
                  @ Y1
                  @ Y2 )
              @ Y0
              @ ( ^ [Y1: $o] :
                    ( f
                    @ ( ^ [Y2: $o] :
                          ( '#sk2'
                          @ ( ^ [Y3: $o,Y4: $i] : Y3
                            @ Y2 ) )
                      @ Y1 ) )
                @ Y0 ) )
          @ $false ) ) ),
    inference(fluid_bool_hoist,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl498,plain,
    ! [X1: $o] :
      ( X1
      | ( cS
        @ ( '#sk2'
          @ ^ [Y0: $i] : X1 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl458]) ).

thf(zip_derived_cl10_001,plain,
    ! [X2: $i > $o] :
      ( ( cS @ ( '#sk2' @ X2 ) )
     != ( X2 @ ( f @ ( '#sk2' @ X2 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i > $o] :
      ( ~ ( cS @ ( '#sk2' @ X2 ) )
      | ~ ( X2 @ ( f @ ( '#sk2' @ X2 ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl10_002,plain,
    ! [X2: $i > $o] :
      ( ( cS @ ( '#sk2' @ X2 ) )
     != ( X2 @ ( f @ ( '#sk2' @ X2 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $o > $i > $o,X1: $i > $o] :
      ( ( ( cS @ ( '#sk2' @ ( X0 @ $false ) ) )
       != ( X0 @ ( cS @ ( '#sk2' @ X1 ) ) @ ( f @ ( '#sk2' @ ( X0 @ ( cS @ ( '#sk2' @ X1 ) ) ) ) ) ) )
      | ~ ( X1 @ ( f @ ( '#sk2' @ X1 ) ) ) ),
    inference('fluidSup-',[status(thm)],[zip_derived_cl13,zip_derived_cl10]) ).

thf(zip_derived_cl2348,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl498,zip_derived_cl56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU906^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7xeViZ93HS true
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.17/0.33  % WCLimit  : 300
% 0.17/0.33  % DateTime : Wed Oct  1 16:09:08 EDT 2025
% 0.17/0.33  % CPUTime  : 
% 0.17/0.33  % Running portfolio for 300 s
% 0.17/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.33  % Number of cores: 8
% 0.17/0.33  % Python version: Python 3.6.8
% 0.17/0.34  % Running in HO mode
% 0.56/0.68  % Total configuration time : 828
% 0.56/0.68  % Estimated wc time : 1656
% 0.56/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.83  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 29.86/4.42  % Solved by lams/15_e_short1.sh.
% 29.86/4.42  % done 66 iterations in 3.613s
% 29.86/4.42  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 29.86/4.42  % SZS output start Refutation
% See solution above
% 29.86/4.42  
% 29.86/4.42  
% 29.86/4.42  % Terminating...
% 30.20/4.52  % Runner terminated.
% 30.20/4.53  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------