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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CAT038^1 : TPTP v9.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G6ESj6MI2y true

% Computer : n008.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 04:30:06 PM UTC 2025

% Result   : Theorem 0.63s 0.91s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   22 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   60 (  40 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  118 (  33   ~;  15   |;   4   &;  65   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   3 usr;   5 con; 0-3 aty)
%                                         (   0  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   46 (  16   ^;  28   !;   2   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
thf(zf_ite_type,type,
    zf_ite: $o > $i > $i > $i ).

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

thf(b_type,type,
    b: $i ).

thf(zip_derived_cl1,plain,
    ! [X0: $tType,X1: X0,X2: X0] :
      ( ( zf_ite @ $true @ X1 @ X2 )
      = X1 ),
    trivial([status(thm)]) ).

thf(swap,conjecture,
    ? [F: $i > $i] :
      ( ( ( F @ a )
        = b )
      & ( ( F @ b )
        = a ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [F: $i > $i] :
        ( ( ( F @ a )
          = b )
        & ( ( F @ b )
          = a ) ),
    inference('cnf.neg',[status(esa)],[swap]) ).

thf(zip_derived_cl0,plain,
    ~ ( ??
      @ ^ [Y0: $i > $i] :
          ( ( ( Y0 @ a )
            = b )
          & ( ( Y0 @ b )
            = a ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i > $i] :
      ~ ( ( ( X2 @ a )
          = b )
        & ( ( X2 @ b )
          = a ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i > $i] :
      ( ( ( X2 @ a )
       != b )
      | ( ( X2 @ b )
       != a ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i > $i] :
      ( ( ( X2 @ a )
       != b )
      | ( ( X2 @ b )
       != a ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $o > $i,X1: $o > $i,X2: $i > $o] :
      ( ~ ( X2 @ a )
      | ( ( ^ [Y0: $o] :
              ( ^ [Y1: $o,Y2: $i] : ( X0 @ Y1 )
              @ Y0
              @ ( X1 @ Y0 ) )
          @ $true )
       != b )
      | ( ( ^ [Y0: $i] :
              ( ^ [Y1: $o,Y2: $i] : ( X0 @ Y1 )
              @ ( X2 @ Y0 )
              @ Y0 )
          @ b )
       != a ) ),
    inference(fluid_loob_hoist,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $o > $i,X2: $i > $o] :
      ( ~ ( X2 @ a )
      | ( ( X0 @ $true )
       != b )
      | ( ( X0 @ ( X2 @ b ) )
       != a ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl127,plain,
    ! [X0: $o > $i] :
      ( ( ( X0 @ $true )
       != b )
      | ( ( X0
          @ ( ^ [Y0: $i] :
                ( ( ^ [Y1: $i] : Y1
                  @ Y0 )
                = ( ^ [Y1: $i] : a
                  @ Y0 ) )
            @ b ) )
       != a ) ),
    inference(fluid_log_symbol_hoist,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $o > $i] :
      ( ( ( X0 @ $true )
       != b )
      | ( ( X0 @ ( b = a ) )
       != a ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl127]) ).

thf(zip_derived_cl5_001,plain,
    ! [X2: $i > $i] :
      ( ( ( X2 @ a )
       != b )
      | ( ( X2 @ b )
       != a ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ( ( ^ [Y0: $i] : b
      @ b )
   != a ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    b != a,
    inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl169,plain,
    ! [X0: $o > $i] :
      ( ( ( X0 @ $true )
       != b )
      | ( ( X0 @ $false )
       != a ) ),
    inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl168,zip_derived_cl7]) ).

thf(zip_derived_cl423,plain,
    ! [X0: $o > $i,X1: $o > $i] :
      ( ( ( X0 @ $true )
       != b )
      | ( ( ^ [Y0: $o] :
              ( zf_ite @ Y0
              @ ( ^ [Y1: $o] : ( X0 @ Y1 )
                @ Y0 )
              @ ( ^ [Y1: $o] : ( X1 @ Y1 )
                @ Y0 ) )
          @ $false )
       != a ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl169]) ).

thf(zip_derived_cl453,plain,
    ! [X0: $o > $i,X1: $o > $i] :
      ( ( ( X0 @ $true )
       != b )
      | ( ( zf_ite @ $false @ ( X0 @ $false ) @ ( X1 @ $false ) )
       != a ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl423]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $tType,X1: X0,X2: X0] :
      ( ( zf_ite @ $false @ X1 @ X2 )
      = X2 ),
    trivial([status(thm)]) ).

thf(zip_derived_cl454,plain,
    ! [X0: $o > $i,X1: $o > $i] :
      ( ( ( X0 @ $true )
       != b )
      | ( ( X1 @ $false )
       != a ) ),
    inference(demod,[status(thm)],[zip_derived_cl453,zip_derived_cl2]) ).

thf(zip_derived_cl455,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( ^ [Y0: $o] : X0
          @ $true )
       != b )
      | ( ( ^ [Y0: $o] : X1
          @ $false )
       != a ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl454]) ).

thf(zip_derived_cl456,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != b )
      | ( X1 != a ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl455]) ).

thf(zip_derived_cl457,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl456]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : CAT038^1 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G6ESj6MI2y true
% 0.13/0.35  % Computer : n008.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 : Wed Oct  1 10:47:08 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.58/0.71  % Total configuration time : 828
% 0.58/0.71  % Estimated wc time : 1656
% 0.58/0.71  % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.59/0.81  % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.61/0.82  % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 0.61/0.82  % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s
% 0.61/0.83  % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s
% 0.61/0.84  % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s
% 0.61/0.84  % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s
% 0.61/0.84  % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s
% 0.63/0.86  % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s
% 0.63/0.86  % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 16s
% 0.63/0.86  % /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 36s
% 0.63/0.87  % /export/starexec/sandbox2/solver/bin/lams/10_shallow_lift.sh running for 30s
% 0.63/0.87  % /export/starexec/sandbox2/solver/bin/lams/15_lcnf_noform.sh running for 30s
% 0.63/0.87  % /export/starexec/sandbox2/solver/bin/lams/8_sh.eqenc2.sh running for 10s
% 0.63/0.89  % /export/starexec/sandbox2/solver/bin/lams/8_cmb.lcnf4.sh running for 10s
% 0.63/0.90  % /export/starexec/sandbox2/solver/bin/lams/8_new_l_av.sh running for 24s
% 0.63/0.90  % /export/starexec/sandbox2/solver/bin/lams/10_forms1.sh running for 20s
% 0.63/0.90  % /export/starexec/sandbox2/solver/bin/lams/10_forms4.sh running for 20s
% 0.63/0.90  % /export/starexec/sandbox2/solver/bin/lams/15_ch_av2.sh running for 26s
% 0.63/0.91  % /export/starexec/sandbox2/solver/bin/lams/15_sine_deep.sh running for 44s
% 0.63/0.91  % Solved by lams/15_e_short1.sh.
% 0.63/0.91  % done 24 iterations in 0.100s
% 0.63/0.91  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/0.91  % SZS output start Refutation
% See solution above
% 0.63/0.91  
% 0.63/0.91  
% 0.63/0.91  % Terminating...
% 2.35/1.00  % Runner terminated.
% 2.35/1.01  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------