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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP019_1 : 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.QoYVPcOjIv true

% Computer : n006.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 04:38:27 PM UTC 2025

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   14 (  13 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   32 (   8   ~;   2   |;   0   &;  19   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 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(mono_2Ec_2Enum_2E0_2E0_type,type,
    mono_2Ec_2Enum_2E0_2E0: mono_2Etyop_2Enum_2Enum ).

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(sk__4_type,type,
    sk__4: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

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_cl82,plain,
    ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @ sk__4 )
    = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
    ! [V0z_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @ V0z_2E0 )
        = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) )
    <=> ( V0z_2E0
        = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ).

thf(zip_derived_cl79,plain,
    ! [X0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( X0
        = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) )
      | ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @ X0 )
       != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ),
    inference(cnf,[status(esa)],[thm_2Ecomplex_2ECOMPLEX__INV__EQ__0]) ).

thf(zip_derived_cl382,plain,
    ( ( sk__4
      = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) )
    | ( ( 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('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl79]) ).

thf(zip_derived_cl383,plain,
    ( sk__4
    = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl382]) ).

thf(zip_derived_cl81,plain,
    ( sk__4
   != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl384,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl383,zip_derived_cl81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ITP019_1 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QoYVPcOjIv true
% 0.12/0.34  % Computer : n006.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 15:30:38 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75  % Solved by fo/fo6_bce.sh.
% 0.55/0.75  % BCE start: 83
% 0.55/0.75  % BCE eliminated: 1
% 0.55/0.75  % PE start: 82
% 0.55/0.75  logic: eq
% 0.55/0.75  % PE eliminated: 0
% 0.55/0.75  % done 5 iterations in 0.017s
% 0.55/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.75  % SZS output start Refutation
% See solution above
% 0.55/0.75  
% 0.55/0.75  
% 0.55/0.75  % Terminating...
% 1.53/0.86  % Runner terminated.
% 1.53/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------