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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP019+5 : TPTP v9.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5HoEu4crbC true

% Computer : n028.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 04:38:28 PM UTC 2025

% Result   : Theorem 21.20s 4.01s
% Output   : Refutation 21.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   31 (  24 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  105 (  13   ~;   6   |;   0   &;  80   @)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    5 (   0   ^;   5   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_2Epair_2Eprod_type,type,
    ty_2Epair_2Eprod: $i > $i > $i ).

thf(c_2Earithmetic_2EZERO_type,type,
    c_2Earithmetic_2EZERO: $i ).

thf(ty_2Erealax_2Ereal_type,type,
    ty_2Erealax_2Ereal: $i ).

thf(mem_type,type,
    mem: $i > $i > $o ).

thf(ap_type,type,
    ap: $i > $i > $i ).

thf(c_2Ecomplex_2Ecomplex__of__num_type,type,
    c_2Ecomplex_2Ecomplex__of__num: $i ).

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

thf(c_2Enum_2E0_type,type,
    c_2Enum_2E0: $i ).

thf(c_2Ecomplex_2Ecomplex__inv_type,type,
    c_2Ecomplex_2Ecomplex__inv: $i ).

thf(conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
    ! [V0z: $i] :
      ( ( mem @ V0z @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) )
     => ( ( V0z
         != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) )
       => ( ( ap @ c_2Ecomplex_2Ecomplex__inv @ V0z )
         != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [V0z: $i] :
        ( ( mem @ V0z @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) )
       => ( ( V0z
           != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) )
         => ( ( ap @ c_2Ecomplex_2Ecomplex__inv @ V0z )
           != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).

thf(zip_derived_cl54,plain,
    mem @ sk_ @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
    ! [V0z: $i] :
      ( ( mem @ V0z @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) )
     => ( ( ( ap @ c_2Ecomplex_2Ecomplex__inv @ V0z )
          = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) )
      <=> ( V0z
          = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) ) ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ( ( ( ap @ c_2Ecomplex_2Ecomplex__inv @ X0 )
       != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) )
      | ( X0
        = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) )
      | ~ ( mem @ X0 @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0]) ).

thf(ax_thm_2Earithmetic_2EALT__ZERO,axiom,
    c_2Earithmetic_2EZERO = c_2Enum_2E0 ).

thf(zip_derived_cl2,plain,
    c_2Earithmetic_2EZERO = c_2Enum_2E0,
    inference(cnf,[status(esa)],[ax_thm_2Earithmetic_2EALT__ZERO]) ).

thf(zip_derived_cl2_001,plain,
    c_2Earithmetic_2EZERO = c_2Enum_2E0,
    inference(cnf,[status(esa)],[ax_thm_2Earithmetic_2EALT__ZERO]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ( ( ( ap @ c_2Ecomplex_2Ecomplex__inv @ X0 )
       != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Earithmetic_2EZERO ) )
      | ( X0
        = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Earithmetic_2EZERO ) )
      | ~ ( mem @ X0 @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl2,zip_derived_cl2]) ).

thf(zip_derived_cl66,plain,
    ( ( sk_
      = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Earithmetic_2EZERO ) )
    | ( ( ap @ c_2Ecomplex_2Ecomplex__inv @ sk_ )
     != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Earithmetic_2EZERO ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl64]) ).

thf(zip_derived_cl55,plain,
    ( ( ap @ c_2Ecomplex_2Ecomplex__inv @ sk_ )
    = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_002,plain,
    c_2Earithmetic_2EZERO = c_2Enum_2E0,
    inference(cnf,[status(esa)],[ax_thm_2Earithmetic_2EALT__ZERO]) ).

thf(zip_derived_cl61,plain,
    ( ( ap @ c_2Ecomplex_2Ecomplex__inv @ sk_ )
    = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Earithmetic_2EZERO ) ),
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl2]) ).

thf(zip_derived_cl67,plain,
    ( ( sk_
      = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Earithmetic_2EZERO ) )
    | ( ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Earithmetic_2EZERO )
     != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Earithmetic_2EZERO ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl61]) ).

thf(zip_derived_cl68,plain,
    ( sk_
    = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Earithmetic_2EZERO ) ),
    inference(simplify,[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl56,plain,
    ( sk_
   != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_003,plain,
    c_2Earithmetic_2EZERO = c_2Enum_2E0,
    inference(cnf,[status(esa)],[ax_thm_2Earithmetic_2EALT__ZERO]) ).

thf(zip_derived_cl57,plain,
    ( sk_
   != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Earithmetic_2EZERO ) ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl2]) ).

thf(zip_derived_cl69,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl68,zip_derived_cl57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10  % Problem  : ITP019+5 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.07/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5HoEu4crbC true
% 0.09/0.31  % Computer : n028.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Wed Oct  1 15:35:10 EDT 2025
% 0.09/0.31  % CPUTime  : 
% 0.09/0.31  % Running portfolio for 300 s
% 0.09/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.31  % Number of cores: 8
% 0.09/0.31  % Python version: Python 3.6.8
% 0.09/0.32  % Running in FO mode
% 0.15/0.52  % Total configuration time : 435
% 0.15/0.52  % Estimated wc time : 1092
% 0.15/0.52  % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.58  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.58  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.04/0.65  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.04/0.65  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.04/0.66  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.04/0.66  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.04/0.67  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 21.20/4.01  % Solved by fo/fo4.sh.
% 21.20/4.01  % done 15 iterations in 3.277s
% 21.20/4.01  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 21.20/4.01  % SZS output start Refutation
% See solution above
% 21.20/4.01  
% 21.20/4.01  
% 21.20/4.01  % Terminating...
% 21.27/4.19  % Runner terminated.
% 21.27/4.20  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------