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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP019_4 : TPTP v9.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Wirz0HttSY true

% Computer : n015.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 60.75s 9.25s
% Output   : Refutation 60.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (  12 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   30 (   6   ~;   0   |;   0   &;  22   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_type,type,
    mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: $tType ).

thf(mono_2Etyop_2Enum_2Enum_type,type,
    mono_2Etyop_2Enum_2Enum: $tType ).

thf(mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1_type,type,
    mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

thf(sk__type,type,
    sk_: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

thf(mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1_type,type,
    mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

thf(mono_2Ec_2Enum_2E0_2E0_type,type,
    mono_2Ec_2Enum_2E0_2E0: mono_2Etyop_2Enum_2Enum ).

thf(thm_2Ecomplex_2ECOMPLEX__INV__0,axiom,
    ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @ ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) )
    = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ).

thf(zip_derived_cl37,plain,
    ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @ ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) )
    = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
    inference(cnf,[status(esa)],[thm_2Ecomplex_2ECOMPLEX__INV__0]) ).

thf(thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
    ! [V0z_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( V0z_2E0
       != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) )
     => ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @ V0z_2E0 )
       != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [V0z_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
        ( ( V0z_2E0
         != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) )
       => ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @ V0z_2E0 )
         != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ),
    inference('cnf.neg',[status(esa)],[thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).

thf(zip_derived_cl44,plain,
    ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @ sk_ )
    = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(thm_2Ecomplex_2ECOMPLEX__INV__INV,axiom,
    ! [V0z_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @ ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @ V0z_2E0 ) )
      = V0z_2E0 ) ).

thf(zip_derived_cl39,plain,
    ! [X0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @ ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[thm_2Ecomplex_2ECOMPLEX__INV__INV]) ).

thf(zip_derived_cl69,plain,
    ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @ ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) )
    = sk_ ),
    inference('sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl39]) ).

thf(zip_derived_cl70,plain,
    ( sk_
    = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl69]) ).

thf(zip_derived_cl43,plain,
    ( sk_
   != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl71,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl70,zip_derived_cl43]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : ITP019_4 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Wirz0HttSY true
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 15:35:40 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % 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
% 0.13/0.36  % Running in FO mode
% 0.48/0.61  % Total configuration time : 435
% 0.48/0.61  % Estimated wc time : 1092
% 0.48/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 60.75/9.25  % Solved by fo/fo4.sh.
% 60.75/9.25  % done 17 iterations in 8.468s
% 60.75/9.25  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 60.75/9.25  % SZS output start Refutation
% See solution above
% 60.75/9.25  
% 60.75/9.25  
% 60.75/9.25  % Terminating...
% 61.43/9.39  % Runner terminated.
% 61.43/9.41  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------