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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU525^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.g7yiOvRA2p true

% Computer : n009.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 04:54:55 PM UTC 2025

% Result   : Theorem 0.53s 0.76s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   46 (  30 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   98 (  10   ~;   7   |;  11   &;  46   @)
%                                         (   3 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   47 (   6   ^;  27   !;  14   ?;  47   :)

% Comments : 
%------------------------------------------------------------------------------
thf(exuE1_type,type,
    exuE1: $o ).

thf(exu_type,type,
    exu: ( $i > $o ) > $o ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__6_type,type,
    sk__6: $i > $i ).

thf(sk__5_type,type,
    sk__5: $i > $o ).

thf(exuE1,axiom,
    ( exuE1
    = ( ! [Xphi: $i > $o] :
          ( ( exu
            @ ^ [Xx: $i] : ( Xphi @ Xx ) )
         => ? [Xx: $i] :
              ( ! [Xy: $i] :
                  ( ( Xphi @ Xy )
                 => ( Xx = Xy ) )
              & ( Xphi @ Xx ) ) ) ) ) ).

thf('0',plain,
    ( exuE1
    = ( ! [X4: $i > $o] :
          ( ( exu
            @ ^ [V_1: $i] : ( X4 @ V_1 ) )
         => ? [X6: $i] :
              ( ! [X8: $i] :
                  ( ( X4 @ X8 )
                 => ( X6 = X8 ) )
              & ( X4 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(exu,axiom,
    ( exu
    = ( ^ [Xphi: $i > $o] :
        ? [Xx: $i] :
          ( ! [Xy: $i] :
              ( ( Xphi @ Xy )
             => ( Xx = Xy ) )
          & ( Xphi @ Xx ) ) ) ) ).

thf('1',plain,
    ( exu
    = ( ^ [Xphi: $i > $o] :
        ? [Xx: $i] :
          ( ! [Xy: $i] :
              ( ( Xphi @ Xy )
             => ( Xx = Xy ) )
          & ( Xphi @ Xx ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[exu]) ).

thf('2',plain,
    ( exu
    = ( ^ [V_1: $i > $o] :
        ? [X4: $i] :
          ( ! [X6: $i] :
              ( ( V_1 @ X6 )
             => ( X4 = X6 ) )
          & ( V_1 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(exuE2,conjecture,
    ( exuE1
   => ! [Xphi: $i > $o] :
        ( ( exu
          @ ^ [Xx: $i] : ( Xphi @ Xx ) )
       => ? [Xx: $i] :
          ! [Xy: $i] :
            ( ( Xphi @ Xy )
          <=> ( Xy = Xx ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i > $o] :
        ( ? [X6: $i] :
            ( ! [X8: $i] :
                ( ( X4 @ X8 )
               => ( X6 = X8 ) )
            & ( X4 @ X6 ) )
       => ? [X10: $i] :
            ( ! [X12: $i] :
                ( ( X4 @ X12 )
               => ( X10 = X12 ) )
            & ( X4 @ X10 ) ) )
   => ! [X14: $i > $o] :
        ( ? [X16: $i] :
            ( ! [X18: $i] :
                ( ( X14 @ X18 )
               => ( X16 = X18 ) )
            & ( X14 @ X16 ) )
       => ? [X20: $i] :
          ! [X22: $i] :
            ( ( X14 @ X22 )
          <=> ( X22 = X20 ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i > $o] :
          ( ? [X6: $i] :
              ( ! [X8: $i] :
                  ( ( X4 @ X8 )
                 => ( X6 = X8 ) )
              & ( X4 @ X6 ) )
         => ? [X10: $i] :
              ( ! [X12: $i] :
                  ( ( X4 @ X12 )
                 => ( X10 = X12 ) )
              & ( X4 @ X10 ) ) )
     => ! [X14: $i > $o] :
          ( ? [X16: $i] :
              ( ! [X18: $i] :
                  ( ( X14 @ X18 )
                 => ( X16 = X18 ) )
              & ( X14 @ X16 ) )
         => ? [X20: $i] :
            ! [X22: $i] :
              ( ( X14 @ X22 )
            <=> ( X22 = X20 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X4: $i] :
      ( ( sk__7 = X4 )
      | ~ ( sk__5 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X3: $i] :
      ( ( ( sk__6 @ X3 )
        = X3 )
      | ( sk__5 @ ( sk__6 @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( sk__7
        = ( sk__6 @ X0 ) )
      | ( ( sk__6 @ X0 )
        = X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( X0 != sk__7 )
      | ( sk__7
        = ( sk__6 @ X0 ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl31,plain,
    ( sk__7
    = ( sk__6 @ sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl5,plain,
    ! [X3: $i] :
      ( ( ( sk__6 @ X3 )
       != X3 )
      | ~ ( sk__5 @ ( sk__6 @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl51,plain,
    ! [X3: $i] :
      ( ( ( sk__6 @ X3 )
       != X3 )
      | ~ ( sk__5 @ X3 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl52,plain,
    ( ( sk__7 != sk__7 )
    | ~ ( sk__5 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl51]) ).

thf(zip_derived_cl6,plain,
    sk__5 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl58,plain,
    sk__7 != sk__7,
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl6]) ).

thf(zip_derived_cl59,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl58]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU525^2 : TPTP v9.2.0. Released v3.7.0.
% 0.11/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.g7yiOvRA2p true
% 0.11/0.31  % Computer : n009.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Wed Oct  1 16:06:08 EDT 2025
% 0.11/0.31  % CPUTime  : 
% 0.11/0.31  % Running portfolio for 300 s
% 0.11/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.32  % Running in HO mode
% 0.52/0.63  % Total configuration time : 828
% 0.52/0.63  % Estimated wc time : 1656
% 0.52/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.76  % Solved by lams/40_c_ic.sh.
% 0.53/0.76  % done 8 iterations in 0.019s
% 0.53/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.76  % SZS output start Refutation
% See solution above
% 0.53/0.76  
% 0.53/0.76  
% 0.53/0.76  % Terminating...
% 0.57/0.84  % Runner terminated.
% 0.57/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------