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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO547^1 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yuTMqr8Woj true

% Computer : n027.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 05:07:54 PM UTC 2025

% Result   : Theorem 0.51s 0.73s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   22 (   3 equ;   3 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   78 (  21   ~;   5   |;   0   &;  48   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (  12   ^;  12   !;   4   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
thf(eps_type,type,
    eps: ( $i > $o ) > $i ).

thf(sk__type,type,
    sk_: $i > $o ).

thf(epscomp_type,type,
    epscomp: ( $i > $o ) > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(epscompd,axiom,
    ( epscomp
    = ( ^ [P: $i > $o] :
          ( eps
          @ ^ [X: $i] :
              ~ ( P @ X ) ) ) ) ).

thf('0',plain,
    ( epscomp
    = ( ^ [P: $i > $o] :
          ( eps
          @ ^ [X: $i] :
              ~ ( P @ X ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[epscompd]) ).

thf('1',plain,
    ( epscomp
    = ( ^ [V_1: $i > $o] :
          ( eps
          @ ^ [V_2: $i] :
              ~ ( V_1 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(choicecomp,conjecture,
    ! [P: $i > $o] :
      ( ? [X: $i] :
          ~ ( P @ X )
     => ~ ( P @ ( epscomp @ P ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $o] :
      ( ? [X6: $i] :
          ~ ( X4 @ X6 )
     => ~ ( X4
          @ ( eps
            @ ^ [V_1: $i] :
                ~ ( X4 @ V_1 ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $o] :
        ( ? [X6: $i] :
            ~ ( X4 @ X6 )
       => ~ ( X4
            @ ( eps
              @ ^ [V_1: $i] :
                  ~ ( X4 @ V_1 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(choiceax,axiom,
    ! [P: $i > $o] :
      ( ? [X: $i] : ( P @ X )
     => ( P @ ( eps @ P ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( X0 @ ( eps @ X0 ) )
      | ~ ( X0 @ X1 ) ),
    inference(cnf,[status(esa)],[choiceax]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( X0 @ ( eps @ X0 ) )
      | ~ ( X0 @ X1 ) ),
    inference(cnf,[status(esa)],[choiceax]) ).

thf(zip_derived_cl2,plain,
    ( sk_
    @ ( eps
      @ ^ [Y0: $i] : ( (~) @ ( sk_ @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ! [X1: $i] :
      ( ~ ( sk_ @ X1 )
      | ( sk_
        @ ( eps
          @ ^ [Y0: $i] : ( sk_ @ Y0 ) ) ) ),
    inference('inst_choice(((^[Y0 : $i]: (sk_ @ Y0))))',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ! [X1: $i] :
      ( ~ ( sk_ @ X1 )
      | ( sk_ @ ( eps @ sk_ ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i] :
      ( ( sk_ @ X2 )
      | ~ ( sk_
          @ ( eps
            @ ^ [Y0: $i] : ( (~) @ ( sk_ @ Y0 ) ) ) ) ),
    inference('inst_choice(((^[Y0 : $i]: (((~) @ (sk_ @ Y0))))))',[status(thm)],[zip_derived_cl0,zip_derived_cl7]) ).

thf(zip_derived_cl2_002,plain,
    ( sk_
    @ ( eps
      @ ^ [Y0: $i] : ( (~) @ ( sk_ @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i] : ( sk_ @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl2]) ).

thf(zip_derived_cl18,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO547^1 : TPTP v9.2.0. Released v5.2.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yuTMqr8Woj true
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 17:55:38 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % Running in HO mode
% 0.51/0.64  % Total configuration time : 828
% 0.51/0.64  % Estimated wc time : 1656
% 0.51/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.73  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.73  % Solved by lams/40_c.s.sh.
% 0.51/0.73  % done 4 iterations in 0.014s
% 0.51/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.73  % SZS output start Refutation
% See solution above
% 0.51/0.73  
% 0.51/0.73  
% 0.51/0.73  % Terminating...
% 0.63/0.85  % Runner terminated.
% 1.77/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------