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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU544^2 : 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.S8awf3iRZH 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 04:55:00 PM UTC 2025

% Result   : Theorem 1.59s 2.57s
% Output   : Refutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   23 (  13 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   58 (   2   ~;   0   |;  10   &;  27   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   1 usr;   3 con; 0-2 aty)
%                                         (   3  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   28 (   9   ^;  11   !;   8   ?;  28   :)

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

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

thf('0',plain,
    ( exu
    = ( ^ [Xphi: $i > $o] :
        ? [Xx: $i] :
          ( ! [Xy: $i] :
              ( ( Xphi @ Xy )
             => ( Xx = Xy ) )
          & ( Xphi @ Xx ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[exu]) ).

thf('1',plain,
    ( exu
    = ( ^ [V_1: $i > $o] :
        ? [X4: $i] :
          ( ! [X6: $i] :
              ( ( V_1 @ X6 )
             => ( X4 = X6 ) )
          & ( V_1 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(exuI1,conjecture,
    ! [Xphi: $i > $o] :
      ( ? [Xx: $i] :
          ( ! [Xy: $i] :
              ( ( Xphi @ Xy )
             => ( Xx = Xy ) )
          & ( Xphi @ Xx ) )
     => ( exu
        @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ).

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

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

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $i > $o] :
          ( ( ??
            @ ^ [Y1: $i] :
                ( ( Y0 @ Y1 )
                & ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                     => ( Y1 = Y2 ) ) ) ) )
         => ( ??
            @ ^ [Y1: $i] :
                ( ( Y0 @ Y1 )
                & ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                     => ( Y1 = Y2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    $false,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/1.11  % Problem  : SEU544^2 : TPTP v9.2.0. Released v3.7.0.
% 0.13/1.20  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.S8awf3iRZH true
% 0.14/1.59  % Computer : n010.cluster.edu
% 0.14/1.59  % Model    : x86_64 x86_64
% 0.14/1.59  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/1.59  % Memory   : 8042.1875MB
% 0.14/1.59  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/1.59  % CPULimit : 300
% 0.14/1.59  % WCLimit  : 300
% 0.14/1.59  % DateTime : Wed Oct  1 16:06:09 EDT 2025
% 0.14/1.61  % CPUTime  : 
% 0.14/1.61  % Running portfolio for 300 s
% 0.14/1.61  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/1.62  % Number of cores: 8
% 0.14/1.64  % Python version: Python 3.6.8
% 0.20/1.66  % Running in HO mode
% 0.35/2.08  % Total configuration time : 828
% 0.35/2.08  % Estimated wc time : 1656
% 0.35/2.08  % Estimated cpu time (8 cpus) : 207.0
% 1.57/2.44  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.57/2.46  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.59/2.49  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.59/2.50  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.59/2.53  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.59/2.54  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.59/2.55  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.59/2.57  % Solved by lams/35_full_unif4.sh.
% 1.59/2.57  % done 0 iterations in 0.009s
% 1.59/2.57  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.59/2.57  % SZS output start Refutation
% See solution above
% 1.59/2.57  
% 1.59/2.57  
% 1.59/2.57  % Terminating...
% 1.96/2.85  % Runner terminated.
% 1.99/2.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------