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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV056^5 : 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.i1JmJvCupX true

% Computer : n026.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 04:57:05 PM UTC 2025

% Result   : Theorem 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   14 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   42 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  283 (  20   ~;   8   |;  17   &; 182   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (  12 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   32 (  32   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   3 con; 0-2 aty)
%                                         (  34  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   59 (  36   ^;  21   !;   2   ?;  59   :)

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

thf('#sk78_type',type,
    '#sk78': ( a > a > $o ) > a ).

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

thf('#sk18_type',type,
    '#sk18': ( a > a > $o ) > a ).

thf('#sk55_type',type,
    '#sk55': ( a > a > $o ) > a ).

thf('#sk30_type',type,
    '#sk30': ( a > a > $o ) > a ).

thf('#sk105_type',type,
    '#sk105': ( a > a > $o ) > a ).

thf(cTHM275_pme,conjecture,
    ! [Xr: a > a > $o] :
    ? [Xp: a > a > $o] :
      ( ! [Xx: a,Xy: a] :
          ( ( Xr @ Xx @ Xy )
         => ( Xp @ Xx @ Xy ) )
      & ! [Xx: a,Xy: a,Xz: a] :
          ( ( ( Xp @ Xy @ Xz )
            & ( Xp @ Xx @ Xy ) )
         => ( Xp @ Xx @ Xz ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xr: a > a > $o] :
      ? [Xp: a > a > $o] :
        ( ! [Xx: a,Xy: a] :
            ( ( Xr @ Xx @ Xy )
           => ( Xp @ Xx @ Xy ) )
        & ! [Xx: a,Xy: a,Xz: a] :
            ( ( ( Xp @ Xy @ Xz )
              & ( Xp @ Xx @ Xy ) )
           => ( Xp @ Xx @ Xz ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM275_pme]) ).

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

thf(zip_derived_cl1,plain,
    ~ ( ??
      @ ^ [Y0: a > a > $o] :
          ( ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a] :
                    ( ( '#sk1' @ Y1 @ Y2 )
                   => ( Y0 @ Y1 @ Y2 ) ) ) )
          & ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a] :
                    ( !!
                    @ ^ [Y3: a] :
                        ( ( ( Y0 @ Y2 @ Y3 )
                          & ( Y0 @ Y1 @ Y2 ) )
                       => ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: a > a > $o] :
      ~ ( ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ Y0 @ Y1 )
                 => ( X2 @ Y0 @ Y1 ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( ( X2 @ Y1 @ Y2 )
                        & ( X2 @ Y0 @ Y1 ) )
                     => ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ! [X2: a > a > $o] :
      ( ~ ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ Y0 @ Y1 )
                 => ( X2 @ Y0 @ Y1 ) ) ) )
      | ~ ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( ( X2 @ Y1 @ Y2 )
                        & ( X2 @ Y0 @ Y1 ) )
                     => ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X2: a > a > $o] :
      ( ~ ( !!
          @ ^ [Y0: a] :
              ( ( '#sk1' @ ( '#sk18' @ X2 ) @ Y0 )
             => ( X2 @ ( '#sk18' @ X2 ) @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( ( X2 @ Y1 @ Y2 )
                        & ( X2 @ Y0 @ Y1 ) )
                     => ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ! [X2: a > a > $o] :
      ( ~ ( ( '#sk1' @ ( '#sk18' @ X2 ) @ ( '#sk30' @ X2 ) )
         => ( X2 @ ( '#sk18' @ X2 ) @ ( '#sk30' @ X2 ) ) )
      | ~ ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( ( X2 @ Y1 @ Y2 )
                        & ( X2 @ Y0 @ Y1 ) )
                     => ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ! [X2: a > a > $o] :
      ( ~ ( X2 @ ( '#sk18' @ X2 ) @ ( '#sk30' @ X2 ) )
      | ~ ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( ( X2 @ Y1 @ Y2 )
                        & ( X2 @ Y0 @ Y1 ) )
                     => ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl10,plain,
    ! [X2: a > a > $o] :
      ( ~ ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( ( X2 @ Y0 @ Y1 )
                    & ( X2 @ ( '#sk55' @ X2 ) @ Y0 ) )
                 => ( X2 @ ( '#sk55' @ X2 ) @ Y1 ) ) ) )
      | ~ ( X2 @ ( '#sk18' @ X2 ) @ ( '#sk30' @ X2 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl12,plain,
    ! [X2: a > a > $o] :
      ( ~ ( !!
          @ ^ [Y0: a] :
              ( ( ( X2 @ ( '#sk78' @ X2 ) @ Y0 )
                & ( X2 @ ( '#sk55' @ X2 ) @ ( '#sk78' @ X2 ) ) )
             => ( X2 @ ( '#sk55' @ X2 ) @ Y0 ) ) )
      | ~ ( X2 @ ( '#sk18' @ X2 ) @ ( '#sk30' @ X2 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl14,plain,
    ! [X2: a > a > $o] :
      ( ~ ( ( ( X2 @ ( '#sk78' @ X2 ) @ ( '#sk105' @ X2 ) )
            & ( X2 @ ( '#sk55' @ X2 ) @ ( '#sk78' @ X2 ) ) )
         => ( X2 @ ( '#sk55' @ X2 ) @ ( '#sk105' @ X2 ) ) )
      | ~ ( X2 @ ( '#sk18' @ X2 ) @ ( '#sk30' @ X2 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl18,plain,
    ! [X2: a > a > $o] :
      ( ~ ( X2 @ ( '#sk55' @ X2 ) @ ( '#sk105' @ X2 ) )
      | ~ ( X2 @ ( '#sk18' @ X2 ) @ ( '#sk30' @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl23,plain,
    $false,
    inference(flex_resolve,[status(thm)],[zip_derived_cl18]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEV056^5 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.i1JmJvCupX true
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 15:37:53 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.61/0.71  % Total configuration time : 828
% 0.61/0.71  % Estimated wc time : 1656
% 0.61/0.71  % Estimated cpu time (8 cpus) : 207.0
% 0.61/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.61/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.61/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.61/0.80  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.61/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.61/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.61/0.82  % Solved by lams/35_full_unif4.sh.
% 0.61/0.82  % done 0 iterations in 0.027s
% 0.61/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.82  % SZS output start Refutation
% See solution above
% 0.61/0.82  
% 0.61/0.82  
% 0.61/0.82  % Terminating...
% 1.48/0.90  % Runner terminated.
% 1.48/0.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------