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Zipperpin---2.1.9999.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV706-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CIaPBX8itr true

% Computer : n009.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 05:01:51 PM UTC 2025

% Result   : Unsatisfiable 240.58s 34.99s
% Output   : Refutation 240.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV706-1 : TPTP v9.2.0. Released v4.1.0.
% 0.06/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CIaPBX8itr true
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 12:28:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.57/0.65  % Total configuration time : 435
% 0.57/0.65  % Estimated wc time : 1092
% 0.57/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 240.58/34.99  % Solved by fo/fo6_bce.sh.
% 240.58/34.99  % BCE start: 1827
% 240.58/34.99  % BCE eliminated: 336
% 240.58/34.99  % PE start: 1491
% 240.58/34.99  logic: eq
% 240.58/34.99  % PE eliminated: -120
% 240.58/34.99  % done 5421 iterations in 34.253s
% 240.58/34.99  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 240.58/34.99  % SZS output start Refutation
% 240.58/34.99  thf(hAPP_type, type, hAPP: $i > $i > $i).
% 240.58/34.99  thf(c_Int_OPls_type, type, c_Int_OPls: $i).
% 240.58/34.99  thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes: 
% 240.58/34.99      $i > $i).
% 240.58/34.99  thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus: 
% 240.58/34.99      $i > $i > $i > $i).
% 240.58/34.99  thf(c_FFT__Mirabelle_ODFT_type, type, c_FFT__Mirabelle_ODFT: $i > $i > $i > $i).
% 240.58/34.99  thf(c_Int_OBit1_type, type, c_Int_OBit1: $i > $i).
% 240.58/34.99  thf(c_Int_Onumber__class_Onumber__of_type, type, c_Int_Onumber__class_Onumber__of: 
% 240.58/34.99      $i > $i > $i).
% 240.58/34.99  thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 240.58/34.99  thf(c_COMBB_type, type, c_COMBB: $i > $i > $i > $i > $i > $i).
% 240.58/34.99  thf(c_FFT__Mirabelle_OFFT_type, type, c_FFT__Mirabelle_OFFT: $i > $i > $i).
% 240.58/34.99  thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 240.58/34.99  thf(c_Int_OBit0_type, type, c_Int_OBit0: $i > $i).
% 240.58/34.99  thf(c_Power_Opower__class_Opower_type, type, c_Power_Opower__class_Opower: 
% 240.58/34.99      $i > $i).
% 240.58/34.99  thf(c_FFT__Mirabelle_Oroot_type, type, c_FFT__Mirabelle_Oroot: $i > $i).
% 240.58/34.99  thf(v_a_____type, type, v_a____: $i).
% 240.58/34.99  thf(v_ka_____type, type, v_ka____: $i).
% 240.58/34.99  thf(v_i_____type, type, v_i____: $i).
% 240.58/34.99  thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 240.58/34.99  thf(tc_nat_type, type, tc_nat: $i).
% 240.58/34.99  thf(c_Suc_type, type, c_Suc: $i).
% 240.58/34.99  thf(cls_Suc_Ohyps_0, axiom,
% 240.58/34.99    (( ( c_FFT__Mirabelle_ODFT @
% 240.58/34.99         ( hAPP @
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99             ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99               ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99           v_ka____ ) @ 
% 240.58/34.99         V_a @ V_i ) =
% 240.58/34.99       ( hAPP @ ( c_FFT__Mirabelle_OFFT @ v_ka____ @ V_a ) @ V_i ) ) | 
% 240.58/34.99     ( ~( c_HOL_Oord__class_Oless @
% 240.58/34.99          V_i @ 
% 240.58/34.99          ( hAPP @
% 240.58/34.99            ( hAPP @
% 240.58/34.99              ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99              ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99            v_ka____ ) @ 
% 240.58/34.99          tc_nat ) ))).
% 240.58/34.99  thf(zip_derived_cl1583, plain,
% 240.58/34.99      (![X0 : $i, X1 : $i]:
% 240.58/34.99         (((c_FFT__Mirabelle_ODFT @ 
% 240.58/34.99            (hAPP @ 
% 240.58/34.99             (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99              (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99               (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99             v_ka____) @ 
% 240.58/34.99            X0 @ X1) = (hAPP @ (c_FFT__Mirabelle_OFFT @ v_ka____ @ X0) @ X1))
% 240.58/34.99          | ~ (c_HOL_Oord__class_Oless @ X1 @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                 (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99                  (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99                v_ka____) @ 
% 240.58/34.99               tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_Suc_Ohyps_0])).
% 240.58/34.99  thf(cls_comp__arith_I115_J_0, axiom,
% 240.58/34.99    (( hAPP @ c_Suc @ ( hAPP @ c_Suc @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) ) =
% 240.58/34.99     ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99       ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ))).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl55553, plain,
% 240.58/34.99      (![X0 : $i, X1 : $i]:
% 240.58/34.99         (((c_FFT__Mirabelle_ODFT @ 
% 240.58/34.99            (hAPP @ 
% 240.58/34.99             (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99              (hAPP @ c_Suc @ 
% 240.58/34.99               (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99             v_ka____) @ 
% 240.58/34.99            X0 @ X1) = (hAPP @ (c_FFT__Mirabelle_OFFT @ v_ka____ @ X0) @ X1))
% 240.58/34.99          | ~ (c_HOL_Oord__class_Oless @ X1 @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                 (hAPP @ c_Suc @ 
% 240.58/34.99                  (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                v_ka____) @ 
% 240.58/34.99               tc_nat))),
% 240.58/34.99      inference('demod', [status(thm)],
% 240.58/34.99                [zip_derived_cl1583, zip_derived_cl1543, zip_derived_cl1543])).
% 240.58/34.99  thf(zip_derived_cl55553, plain,
% 240.58/34.99      (![X0 : $i, X1 : $i]:
% 240.58/34.99         (((c_FFT__Mirabelle_ODFT @ 
% 240.58/34.99            (hAPP @ 
% 240.58/34.99             (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99              (hAPP @ c_Suc @ 
% 240.58/34.99               (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99             v_ka____) @ 
% 240.58/34.99            X0 @ X1) = (hAPP @ (c_FFT__Mirabelle_OFFT @ v_ka____ @ X0) @ X1))
% 240.58/34.99          | ~ (c_HOL_Oord__class_Oless @ X1 @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                 (hAPP @ c_Suc @ 
% 240.58/34.99                  (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                v_ka____) @ 
% 240.58/34.99               tc_nat))),
% 240.58/34.99      inference('demod', [status(thm)],
% 240.58/34.99                [zip_derived_cl1583, zip_derived_cl1543, zip_derived_cl1543])).
% 240.58/34.99  thf(cls_conjecture_2, conjecture,
% 240.58/34.99    (( c_HOL_Ominus__class_Ominus @
% 240.58/34.99       ( c_FFT__Mirabelle_ODFT @
% 240.58/34.99         ( hAPP @
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99             ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99               ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99           v_ka____ ) @ 
% 240.58/34.99         ( c_COMBB @
% 240.58/34.99           v_a____ @ 
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 240.58/34.99             ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99               ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99           tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @ 
% 240.58/34.99         ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99           v_i____ @ 
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99               ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99             v_ka____ ) @ 
% 240.58/34.99           tc_nat ) ) @ 
% 240.58/34.99       ( hAPP @
% 240.58/34.99         ( hAPP @
% 240.58/34.99           ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ 
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ 
% 240.58/34.99               ( c_FFT__Mirabelle_Oroot @
% 240.58/34.99                 ( hAPP @
% 240.58/34.99                   ( hAPP @
% 240.58/34.99                     ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 240.58/34.99                     ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                       ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99                   ( hAPP @
% 240.58/34.99                     ( hAPP @
% 240.58/34.99                       ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99                       ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                         ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ 
% 240.58/34.99                         tc_nat ) ) @ 
% 240.58/34.99                     v_ka____ ) ) ) ) @ 
% 240.58/34.99             ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99               v_i____ @ 
% 240.58/34.99               ( hAPP @
% 240.58/34.99                 ( hAPP @
% 240.58/34.99                   ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99                   ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                     ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99                 v_ka____ ) @ 
% 240.58/34.99               tc_nat ) ) ) @ 
% 240.58/34.99         ( c_FFT__Mirabelle_ODFT @
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99               ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99             v_ka____ ) @ 
% 240.58/34.99           ( c_COMBB @
% 240.58/34.99             v_a____ @ 
% 240.58/34.99             ( c_COMBB @
% 240.58/34.99               c_Suc @ 
% 240.58/34.99               ( hAPP @
% 240.58/34.99                 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 240.58/34.99                 ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                   ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99               tc_nat @ tc_nat @ tc_nat ) @ 
% 240.58/34.99             tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @ 
% 240.58/34.99           ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99             v_i____ @ 
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( hAPP @
% 240.58/34.99                 ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99                 ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                   ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99               v_ka____ ) @ 
% 240.58/34.99             tc_nat ) ) ) @ 
% 240.58/34.99       tc_Complex_Ocomplex ) =
% 240.58/34.99     ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99       ( hAPP @
% 240.58/34.99         ( c_FFT__Mirabelle_OFFT @
% 240.58/34.99           v_ka____ @ 
% 240.58/34.99           ( c_COMBB @
% 240.58/34.99             v_a____ @ 
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 240.58/34.99               ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99             tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @ 
% 240.58/34.99         ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99           v_i____ @ 
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99               ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99             v_ka____ ) @ 
% 240.58/34.99           tc_nat ) ) @ 
% 240.58/34.99       ( hAPP @
% 240.58/34.99         ( hAPP @
% 240.58/34.99           ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ 
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ 
% 240.58/34.99               ( c_FFT__Mirabelle_Oroot @
% 240.58/34.99                 ( hAPP @
% 240.58/34.99                   ( hAPP @
% 240.58/34.99                     ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 240.58/34.99                     ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                       ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99                   ( hAPP @
% 240.58/34.99                     ( hAPP @
% 240.58/34.99                       ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99                       ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                         ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ 
% 240.58/34.99                         tc_nat ) ) @ 
% 240.58/34.99                     v_ka____ ) ) ) ) @ 
% 240.58/34.99             ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99               v_i____ @ 
% 240.58/34.99               ( hAPP @
% 240.58/34.99                 ( hAPP @
% 240.58/34.99                   ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99                   ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                     ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99                 v_ka____ ) @ 
% 240.58/34.99               tc_nat ) ) ) @ 
% 240.58/34.99         ( hAPP @
% 240.58/34.99           ( c_FFT__Mirabelle_OFFT @
% 240.58/34.99             v_ka____ @ 
% 240.58/34.99             ( c_COMBB @
% 240.58/34.99               v_a____ @ 
% 240.58/34.99               ( c_COMBB @
% 240.58/34.99                 c_Suc @ 
% 240.58/34.99                 ( hAPP @
% 240.58/34.99                   ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 240.58/34.99                   ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                     ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99                 tc_nat @ tc_nat @ tc_nat ) @ 
% 240.58/34.99               tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @ 
% 240.58/34.99           ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99             v_i____ @ 
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( hAPP @
% 240.58/34.99                 ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99                 ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                   ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99               v_ka____ ) @ 
% 240.58/34.99             tc_nat ) ) ) @ 
% 240.58/34.99       tc_Complex_Ocomplex ))).
% 240.58/34.99  thf(zf_stmt_0, negated_conjecture,
% 240.58/34.99    (( c_HOL_Ominus__class_Ominus @
% 240.58/34.99       ( c_FFT__Mirabelle_ODFT @
% 240.58/34.99         ( hAPP @
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99             ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99               ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99           v_ka____ ) @ 
% 240.58/34.99         ( c_COMBB @
% 240.58/34.99           v_a____ @ 
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 240.58/34.99             ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99               ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99           tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @ 
% 240.58/34.99         ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99           v_i____ @ 
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99               ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99             v_ka____ ) @ 
% 240.58/34.99           tc_nat ) ) @ 
% 240.58/34.99       ( hAPP @
% 240.58/34.99         ( hAPP @
% 240.58/34.99           ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ 
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ 
% 240.58/34.99               ( c_FFT__Mirabelle_Oroot @
% 240.58/34.99                 ( hAPP @
% 240.58/34.99                   ( hAPP @
% 240.58/34.99                     ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 240.58/34.99                     ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                       ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99                   ( hAPP @
% 240.58/34.99                     ( hAPP @
% 240.58/34.99                       ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99                       ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                         ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ 
% 240.58/34.99                         tc_nat ) ) @ 
% 240.58/34.99                     v_ka____ ) ) ) ) @ 
% 240.58/34.99             ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99               v_i____ @ 
% 240.58/34.99               ( hAPP @
% 240.58/34.99                 ( hAPP @
% 240.58/34.99                   ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99                   ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                     ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99                 v_ka____ ) @ 
% 240.58/34.99               tc_nat ) ) ) @ 
% 240.58/34.99         ( c_FFT__Mirabelle_ODFT @
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99               ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99             v_ka____ ) @ 
% 240.58/34.99           ( c_COMBB @
% 240.58/34.99             v_a____ @ 
% 240.58/34.99             ( c_COMBB @
% 240.58/34.99               c_Suc @ 
% 240.58/34.99               ( hAPP @
% 240.58/34.99                 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 240.58/34.99                 ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                   ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99               tc_nat @ tc_nat @ tc_nat ) @ 
% 240.58/34.99             tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @ 
% 240.58/34.99           ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99             v_i____ @ 
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( hAPP @
% 240.58/34.99                 ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99                 ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                   ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99               v_ka____ ) @ 
% 240.58/34.99             tc_nat ) ) ) @ 
% 240.58/34.99       tc_Complex_Ocomplex ) !=
% 240.58/34.99     ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99       ( hAPP @
% 240.58/34.99         ( c_FFT__Mirabelle_OFFT @
% 240.58/34.99           v_ka____ @ 
% 240.58/34.99           ( c_COMBB @
% 240.58/34.99             v_a____ @ 
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 240.58/34.99               ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99             tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @ 
% 240.58/34.99         ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99           v_i____ @ 
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99               ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99             v_ka____ ) @ 
% 240.58/34.99           tc_nat ) ) @ 
% 240.58/34.99       ( hAPP @
% 240.58/34.99         ( hAPP @
% 240.58/34.99           ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ 
% 240.58/34.99           ( hAPP @
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ 
% 240.58/34.99               ( c_FFT__Mirabelle_Oroot @
% 240.58/34.99                 ( hAPP @
% 240.58/34.99                   ( hAPP @
% 240.58/34.99                     ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 240.58/34.99                     ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                       ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99                   ( hAPP @
% 240.58/34.99                     ( hAPP @
% 240.58/34.99                       ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99                       ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                         ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ 
% 240.58/34.99                         tc_nat ) ) @ 
% 240.58/34.99                     v_ka____ ) ) ) ) @ 
% 240.58/34.99             ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99               v_i____ @ 
% 240.58/34.99               ( hAPP @
% 240.58/34.99                 ( hAPP @
% 240.58/34.99                   ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99                   ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                     ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99                 v_ka____ ) @ 
% 240.58/34.99               tc_nat ) ) ) @ 
% 240.58/34.99         ( hAPP @
% 240.58/34.99           ( c_FFT__Mirabelle_OFFT @
% 240.58/34.99             v_ka____ @ 
% 240.58/34.99             ( c_COMBB @
% 240.58/34.99               v_a____ @ 
% 240.58/34.99               ( c_COMBB @
% 240.58/34.99                 c_Suc @ 
% 240.58/34.99                 ( hAPP @
% 240.58/34.99                   ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 240.58/34.99                   ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                     ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99                 tc_nat @ tc_nat @ tc_nat ) @ 
% 240.58/34.99               tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @ 
% 240.58/34.99           ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99             v_i____ @ 
% 240.58/34.99             ( hAPP @
% 240.58/34.99               ( hAPP @
% 240.58/34.99                 ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99                 ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                   ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99               v_ka____ ) @ 
% 240.58/34.99             tc_nat ) ) ) @ 
% 240.58/34.99       tc_Complex_Ocomplex )),
% 240.58/34.99    inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 240.58/34.99  thf(zip_derived_cl1695, plain,
% 240.58/34.99      (((c_HOL_Ominus__class_Ominus @ 
% 240.58/34.99         (c_FFT__Mirabelle_ODFT @ 
% 240.58/34.99          (hAPP @ 
% 240.58/34.99           (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99            (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99             (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99           v_ka____) @ 
% 240.58/34.99          (c_COMBB @ v_a____ @ 
% 240.58/34.99           (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99            (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99             (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99           tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 240.58/34.99          (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99           (hAPP @ 
% 240.58/34.99            (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99             (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99              (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99            v_ka____) @ 
% 240.58/34.99           tc_nat)) @ 
% 240.58/34.99         (hAPP @ 
% 240.58/34.99          (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 240.58/34.99           (hAPP @ 
% 240.58/34.99            (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 240.58/34.99             (c_FFT__Mirabelle_Oroot @ 
% 240.58/34.99              (hAPP @ 
% 240.58/34.99               (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99                 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                 (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99                  (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99                v_ka____)))) @ 
% 240.58/34.99            (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99               (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99                (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99              v_ka____) @ 
% 240.58/34.99             tc_nat))) @ 
% 240.58/34.99          (c_FFT__Mirabelle_ODFT @ 
% 240.58/34.99           (hAPP @ 
% 240.58/34.99            (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99             (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99              (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99            v_ka____) @ 
% 240.58/34.99           (c_COMBB @ v_a____ @ 
% 240.58/34.99            (c_COMBB @ c_Suc @ 
% 240.58/34.99             (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99              (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99               (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99             tc_nat @ tc_nat @ tc_nat) @ 
% 240.58/34.99            tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 240.58/34.99           (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99            (hAPP @ 
% 240.58/34.99             (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99              (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99               (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99             v_ka____) @ 
% 240.58/34.99            tc_nat))) @ 
% 240.58/34.99         tc_Complex_Ocomplex)
% 240.58/34.99         != (c_HOL_Ominus__class_Ominus @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99               (c_COMBB @ v_a____ @ 
% 240.58/34.99                (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                 (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99                  (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99                tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99              (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                 (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99                  (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99                v_ka____) @ 
% 240.58/34.99               tc_nat)) @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 240.58/34.99                 (c_FFT__Mirabelle_Oroot @ 
% 240.58/34.99                  (hAPP @ 
% 240.58/34.99                   (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                    (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99                     (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99                   (hAPP @ 
% 240.58/34.99                    (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                     (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99                      (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99                    v_ka____)))) @ 
% 240.58/34.99                (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                 (hAPP @ 
% 240.58/34.99                  (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                   (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99                    (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99                  v_ka____) @ 
% 240.58/34.99                 tc_nat))) @ 
% 240.58/34.99              (hAPP @ 
% 240.58/34.99               (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99                (c_COMBB @ v_a____ @ 
% 240.58/34.99                 (c_COMBB @ c_Suc @ 
% 240.58/34.99                  (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                   (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99                    (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99                  tc_nat @ tc_nat @ tc_nat) @ 
% 240.58/34.99                 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99               (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                (hAPP @ 
% 240.58/34.99                 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                  (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99                   (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99                 v_ka____) @ 
% 240.58/34.99                tc_nat))) @ 
% 240.58/34.99             tc_Complex_Ocomplex))),
% 240.58/34.99      inference('cnf', [status(esa)], [zf_stmt_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl64390, plain,
% 240.58/34.99      (((c_HOL_Ominus__class_Ominus @ 
% 240.58/34.99         (c_FFT__Mirabelle_ODFT @ 
% 240.58/34.99          (hAPP @ 
% 240.58/34.99           (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99            (hAPP @ c_Suc @ 
% 240.58/34.99             (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99           v_ka____) @ 
% 240.58/34.99          (c_COMBB @ v_a____ @ 
% 240.58/34.99           (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99            (hAPP @ c_Suc @ 
% 240.58/34.99             (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99           tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 240.58/34.99          (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99           (hAPP @ 
% 240.58/34.99            (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99             (hAPP @ c_Suc @ 
% 240.58/34.99              (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99            v_ka____) @ 
% 240.58/34.99           tc_nat)) @ 
% 240.58/34.99         (hAPP @ 
% 240.58/34.99          (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 240.58/34.99           (hAPP @ 
% 240.58/34.99            (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 240.58/34.99             (c_FFT__Mirabelle_Oroot @ 
% 240.58/34.99              (hAPP @ 
% 240.58/34.99               (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                (hAPP @ c_Suc @ 
% 240.58/34.99                 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                 (hAPP @ c_Suc @ 
% 240.58/34.99                  (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                v_ka____)))) @ 
% 240.58/34.99            (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99               (hAPP @ c_Suc @ 
% 240.58/34.99                (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99              v_ka____) @ 
% 240.58/34.99             tc_nat))) @ 
% 240.58/34.99          (c_FFT__Mirabelle_ODFT @ 
% 240.58/34.99           (hAPP @ 
% 240.58/34.99            (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99             (hAPP @ c_Suc @ 
% 240.58/34.99              (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99            v_ka____) @ 
% 240.58/34.99           (c_COMBB @ v_a____ @ 
% 240.58/34.99            (c_COMBB @ c_Suc @ 
% 240.58/34.99             (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99              (hAPP @ c_Suc @ 
% 240.58/34.99               (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99             tc_nat @ tc_nat @ tc_nat) @ 
% 240.58/34.99            tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 240.58/34.99           (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99            (hAPP @ 
% 240.58/34.99             (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99              (hAPP @ c_Suc @ 
% 240.58/34.99               (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99             v_ka____) @ 
% 240.58/34.99            tc_nat))) @ 
% 240.58/34.99         tc_Complex_Ocomplex)
% 240.58/34.99         != (c_HOL_Ominus__class_Ominus @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99               (c_COMBB @ v_a____ @ 
% 240.58/34.99                (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                 (hAPP @ c_Suc @ 
% 240.58/34.99                  (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99              (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                 (hAPP @ c_Suc @ 
% 240.58/34.99                  (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                v_ka____) @ 
% 240.58/34.99               tc_nat)) @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 240.58/34.99                 (c_FFT__Mirabelle_Oroot @ 
% 240.58/34.99                  (hAPP @ 
% 240.58/34.99                   (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                    (hAPP @ c_Suc @ 
% 240.58/34.99                     (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                   (hAPP @ 
% 240.58/34.99                    (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                     (hAPP @ c_Suc @ 
% 240.58/34.99                      (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                    v_ka____)))) @ 
% 240.58/34.99                (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                 (hAPP @ 
% 240.58/34.99                  (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                   (hAPP @ c_Suc @ 
% 240.58/34.99                    (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                  v_ka____) @ 
% 240.58/34.99                 tc_nat))) @ 
% 240.58/34.99              (hAPP @ 
% 240.58/34.99               (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99                (c_COMBB @ v_a____ @ 
% 240.58/34.99                 (c_COMBB @ c_Suc @ 
% 240.58/34.99                  (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                   (hAPP @ c_Suc @ 
% 240.58/34.99                    (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                  tc_nat @ tc_nat @ tc_nat) @ 
% 240.58/34.99                 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99               (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                (hAPP @ 
% 240.58/34.99                 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                  (hAPP @ c_Suc @ 
% 240.58/34.99                   (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                 v_ka____) @ 
% 240.58/34.99                tc_nat))) @ 
% 240.58/34.99             tc_Complex_Ocomplex))),
% 240.58/34.99      inference('demod', [status(thm)],
% 240.58/34.99                [zip_derived_cl1695, zip_derived_cl1543, zip_derived_cl1543, 
% 240.58/34.99                 zip_derived_cl1543, zip_derived_cl1543, zip_derived_cl1543, 
% 240.58/34.99                 zip_derived_cl1543, zip_derived_cl1543, zip_derived_cl1543, 
% 240.58/34.99                 zip_derived_cl1543, zip_derived_cl1543, zip_derived_cl1543, 
% 240.58/34.99                 zip_derived_cl1543, zip_derived_cl1543, zip_derived_cl1543, 
% 240.58/34.99                 zip_derived_cl1543, zip_derived_cl1543])).
% 240.58/34.99  thf(zip_derived_cl64391, plain,
% 240.58/34.99      ((~ (c_HOL_Oord__class_Oless @ 
% 240.58/34.99           (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99            (hAPP @ 
% 240.58/34.99             (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99              (hAPP @ c_Suc @ 
% 240.58/34.99               (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99             v_ka____) @ 
% 240.58/34.99            tc_nat) @ 
% 240.58/34.99           (hAPP @ 
% 240.58/34.99            (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99             (hAPP @ c_Suc @ 
% 240.58/34.99              (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99            v_ka____) @ 
% 240.58/34.99           tc_nat)
% 240.58/34.99        | ((c_HOL_Ominus__class_Ominus @ 
% 240.58/34.99            (c_FFT__Mirabelle_ODFT @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99               (hAPP @ c_Suc @ 
% 240.58/34.99                (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99              v_ka____) @ 
% 240.58/34.99             (c_COMBB @ v_a____ @ 
% 240.58/34.99              (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99               (hAPP @ c_Suc @ 
% 240.58/34.99                (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99              tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 240.58/34.99             (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99              (hAPP @ 
% 240.58/34.99               (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                (hAPP @ c_Suc @ 
% 240.58/34.99                 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99               v_ka____) @ 
% 240.58/34.99              tc_nat)) @ 
% 240.58/34.99            (hAPP @ 
% 240.58/34.99             (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 240.58/34.99              (hAPP @ 
% 240.58/34.99               (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 240.58/34.99                (c_FFT__Mirabelle_Oroot @ 
% 240.58/34.99                 (hAPP @ 
% 240.58/34.99                  (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                   (hAPP @ c_Suc @ 
% 240.58/34.99                    (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                  (hAPP @ 
% 240.58/34.99                   (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                    (hAPP @ c_Suc @ 
% 240.58/34.99                     (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                   v_ka____)))) @ 
% 240.58/34.99               (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                (hAPP @ 
% 240.58/34.99                 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                  (hAPP @ c_Suc @ 
% 240.58/34.99                   (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                 v_ka____) @ 
% 240.58/34.99                tc_nat))) @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99               (c_COMBB @ v_a____ @ 
% 240.58/34.99                (c_COMBB @ c_Suc @ 
% 240.58/34.99                 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                  (hAPP @ c_Suc @ 
% 240.58/34.99                   (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                 tc_nat @ tc_nat @ tc_nat) @ 
% 240.58/34.99                tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99              (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                 (hAPP @ c_Suc @ 
% 240.58/34.99                  (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                v_ka____) @ 
% 240.58/34.99               tc_nat))) @ 
% 240.58/34.99            tc_Complex_Ocomplex)
% 240.58/34.99            != (c_HOL_Ominus__class_Ominus @ 
% 240.58/34.99                (hAPP @ 
% 240.58/34.99                 (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99                  (c_COMBB @ v_a____ @ 
% 240.58/34.99                   (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                    (hAPP @ c_Suc @ 
% 240.58/34.99                     (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                   tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99                 (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                  (hAPP @ 
% 240.58/34.99                   (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                    (hAPP @ c_Suc @ 
% 240.58/34.99                     (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                   v_ka____) @ 
% 240.58/34.99                  tc_nat)) @ 
% 240.58/34.99                (hAPP @ 
% 240.58/34.99                 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 240.58/34.99                  (hAPP @ 
% 240.58/34.99                   (hAPP @ 
% 240.58/34.99                    (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 240.58/34.99                    (c_FFT__Mirabelle_Oroot @ 
% 240.58/34.99                     (hAPP @ 
% 240.58/34.99                      (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                       (hAPP @ c_Suc @ 
% 240.58/34.99                        (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                      (hAPP @ 
% 240.58/34.99                       (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                        (hAPP @ c_Suc @ 
% 240.58/34.99                         (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                       v_ka____)))) @ 
% 240.58/34.99                   (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                    (hAPP @ 
% 240.58/34.99                     (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                      (hAPP @ c_Suc @ 
% 240.58/34.99                       (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                     v_ka____) @ 
% 240.58/34.99                    tc_nat))) @ 
% 240.58/34.99                 (hAPP @ 
% 240.58/34.99                  (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99                   (c_COMBB @ v_a____ @ 
% 240.58/34.99                    (c_COMBB @ c_Suc @ 
% 240.58/34.99                     (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                      (hAPP @ c_Suc @ 
% 240.58/34.99                       (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                     tc_nat @ tc_nat @ tc_nat) @ 
% 240.58/34.99                    tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99                  (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                   (hAPP @ 
% 240.58/34.99                    (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                     (hAPP @ c_Suc @ 
% 240.58/34.99                      (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                    v_ka____) @ 
% 240.58/34.99                   tc_nat))) @ 
% 240.58/34.99                tc_Complex_Ocomplex)))),
% 240.58/34.99      inference('s_sup-', [status(thm)],
% 240.58/34.99                [zip_derived_cl55553, zip_derived_cl64390])).
% 240.58/34.99  thf(cls_conjecture_1, conjecture,
% 240.58/34.99    (~( c_HOL_Oord__class_Oless @
% 240.58/34.99        ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99          v_i____ @ 
% 240.58/34.99          ( hAPP @
% 240.58/34.99            ( hAPP @
% 240.58/34.99              ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99              ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99                ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99            v_ka____ ) @ 
% 240.58/34.99          tc_nat ) @ 
% 240.58/34.99        ( hAPP @
% 240.58/34.99          ( hAPP @
% 240.58/34.99            ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99            ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99              ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99          v_ka____ ) @ 
% 240.58/34.99        tc_nat ))).
% 240.58/34.99  thf(zf_stmt_1, negated_conjecture,
% 240.58/34.99    (c_HOL_Oord__class_Oless @
% 240.58/34.99     ( c_HOL_Ominus__class_Ominus @
% 240.58/34.99       v_i____ @ 
% 240.58/34.99       ( hAPP @
% 240.58/34.99         ( hAPP @
% 240.58/34.99           ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99           ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99             ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99         v_ka____ ) @ 
% 240.58/34.99       tc_nat ) @ 
% 240.58/34.99     ( hAPP @
% 240.58/34.99       ( hAPP @
% 240.58/34.99         ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 240.58/34.99         ( c_Int_Onumber__class_Onumber__of @
% 240.58/34.99           ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 240.58/34.99       v_ka____ ) @ 
% 240.58/34.99     tc_nat),
% 240.58/34.99    inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 240.58/34.99  thf(zip_derived_cl1694, plain,
% 240.58/34.99      ( (c_HOL_Oord__class_Oless @ 
% 240.58/34.99         (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99          (hAPP @ 
% 240.58/34.99           (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99            (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99             (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99           v_ka____) @ 
% 240.58/34.99          tc_nat) @ 
% 240.58/34.99         (hAPP @ 
% 240.58/34.99          (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99           (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 240.58/34.99          v_ka____) @ 
% 240.58/34.99         tc_nat)),
% 240.58/34.99      inference('cnf', [status(esa)], [zf_stmt_1])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl1543, plain,
% 240.58/34.99      (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 240.58/34.99         = (c_Int_Onumber__class_Onumber__of @ 
% 240.58/34.99            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 240.58/34.99      inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 240.58/34.99  thf(zip_derived_cl13414, plain,
% 240.58/34.99      ( (c_HOL_Oord__class_Oless @ 
% 240.58/34.99         (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99          (hAPP @ 
% 240.58/34.99           (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99            (hAPP @ c_Suc @ 
% 240.58/34.99             (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99           v_ka____) @ 
% 240.58/34.99          tc_nat) @ 
% 240.58/34.99         (hAPP @ 
% 240.58/34.99          (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99           (hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99          v_ka____) @ 
% 240.58/34.99         tc_nat)),
% 240.58/34.99      inference('demod', [status(thm)],
% 240.58/34.99                [zip_derived_cl1694, zip_derived_cl1543, zip_derived_cl1543])).
% 240.58/34.99  thf(zip_derived_cl64397, plain,
% 240.58/34.99      (((c_HOL_Ominus__class_Ominus @ 
% 240.58/34.99         (c_FFT__Mirabelle_ODFT @ 
% 240.58/34.99          (hAPP @ 
% 240.58/34.99           (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99            (hAPP @ c_Suc @ 
% 240.58/34.99             (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99           v_ka____) @ 
% 240.58/34.99          (c_COMBB @ v_a____ @ 
% 240.58/34.99           (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99            (hAPP @ c_Suc @ 
% 240.58/34.99             (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99           tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 240.58/34.99          (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99           (hAPP @ 
% 240.58/34.99            (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99             (hAPP @ c_Suc @ 
% 240.58/34.99              (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99            v_ka____) @ 
% 240.58/34.99           tc_nat)) @ 
% 240.58/34.99         (hAPP @ 
% 240.58/34.99          (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 240.58/34.99           (hAPP @ 
% 240.58/34.99            (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 240.58/34.99             (c_FFT__Mirabelle_Oroot @ 
% 240.58/34.99              (hAPP @ 
% 240.58/34.99               (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                (hAPP @ c_Suc @ 
% 240.58/34.99                 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                 (hAPP @ c_Suc @ 
% 240.58/34.99                  (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                v_ka____)))) @ 
% 240.58/34.99            (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99               (hAPP @ c_Suc @ 
% 240.58/34.99                (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99              v_ka____) @ 
% 240.58/34.99             tc_nat))) @ 
% 240.58/34.99          (hAPP @ 
% 240.58/34.99           (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99            (c_COMBB @ v_a____ @ 
% 240.58/34.99             (c_COMBB @ c_Suc @ 
% 240.58/34.99              (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99               (hAPP @ c_Suc @ 
% 240.58/34.99                (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99              tc_nat @ tc_nat @ tc_nat) @ 
% 240.58/34.99             tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99           (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99            (hAPP @ 
% 240.58/34.99             (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99              (hAPP @ c_Suc @ 
% 240.58/34.99               (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99             v_ka____) @ 
% 240.58/34.99            tc_nat))) @ 
% 240.58/34.99         tc_Complex_Ocomplex)
% 240.58/34.99         != (c_HOL_Ominus__class_Ominus @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99               (c_COMBB @ v_a____ @ 
% 240.58/34.99                (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                 (hAPP @ c_Suc @ 
% 240.58/34.99                  (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99              (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                 (hAPP @ c_Suc @ 
% 240.58/34.99                  (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                v_ka____) @ 
% 240.58/34.99               tc_nat)) @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 240.58/34.99                 (c_FFT__Mirabelle_Oroot @ 
% 240.58/34.99                  (hAPP @ 
% 240.58/34.99                   (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                    (hAPP @ c_Suc @ 
% 240.58/34.99                     (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                   (hAPP @ 
% 240.58/34.99                    (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                     (hAPP @ c_Suc @ 
% 240.58/34.99                      (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                    v_ka____)))) @ 
% 240.58/34.99                (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                 (hAPP @ 
% 240.58/34.99                  (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                   (hAPP @ c_Suc @ 
% 240.58/34.99                    (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                  v_ka____) @ 
% 240.58/34.99                 tc_nat))) @ 
% 240.58/34.99              (hAPP @ 
% 240.58/34.99               (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99                (c_COMBB @ v_a____ @ 
% 240.58/34.99                 (c_COMBB @ c_Suc @ 
% 240.58/34.99                  (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                   (hAPP @ c_Suc @ 
% 240.58/34.99                    (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                  tc_nat @ tc_nat @ tc_nat) @ 
% 240.58/34.99                 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99               (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                (hAPP @ 
% 240.58/34.99                 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                  (hAPP @ c_Suc @ 
% 240.58/34.99                   (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                 v_ka____) @ 
% 240.58/34.99                tc_nat))) @ 
% 240.58/34.99             tc_Complex_Ocomplex))),
% 240.58/34.99      inference('demod', [status(thm)],
% 240.58/34.99                [zip_derived_cl64391, zip_derived_cl13414])).
% 240.58/34.99  thf(zip_derived_cl126279, plain,
% 240.58/34.99      ((~ (c_HOL_Oord__class_Oless @ 
% 240.58/34.99           (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99            (hAPP @ 
% 240.58/34.99             (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99              (hAPP @ c_Suc @ 
% 240.58/34.99               (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99             v_ka____) @ 
% 240.58/34.99            tc_nat) @ 
% 240.58/34.99           (hAPP @ 
% 240.58/34.99            (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99             (hAPP @ c_Suc @ 
% 240.58/34.99              (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99            v_ka____) @ 
% 240.58/34.99           tc_nat)
% 240.58/34.99        | ((c_HOL_Ominus__class_Ominus @ 
% 240.58/34.99            (hAPP @ 
% 240.58/34.99             (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99              (c_COMBB @ v_a____ @ 
% 240.58/34.99               (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                (hAPP @ c_Suc @ 
% 240.58/34.99                 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99               tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99             (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99              (hAPP @ 
% 240.58/34.99               (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                (hAPP @ c_Suc @ 
% 240.58/34.99                 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99               v_ka____) @ 
% 240.58/34.99              tc_nat)) @ 
% 240.58/34.99            (hAPP @ 
% 240.58/34.99             (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 240.58/34.99              (hAPP @ 
% 240.58/34.99               (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 240.58/34.99                (c_FFT__Mirabelle_Oroot @ 
% 240.58/34.99                 (hAPP @ 
% 240.58/34.99                  (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                   (hAPP @ c_Suc @ 
% 240.58/34.99                    (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                  (hAPP @ 
% 240.58/34.99                   (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                    (hAPP @ c_Suc @ 
% 240.58/34.99                     (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                   v_ka____)))) @ 
% 240.58/34.99               (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                (hAPP @ 
% 240.58/34.99                 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                  (hAPP @ c_Suc @ 
% 240.58/34.99                   (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                 v_ka____) @ 
% 240.58/34.99                tc_nat))) @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99               (c_COMBB @ v_a____ @ 
% 240.58/34.99                (c_COMBB @ c_Suc @ 
% 240.58/34.99                 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                  (hAPP @ c_Suc @ 
% 240.58/34.99                   (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                 tc_nat @ tc_nat @ tc_nat) @ 
% 240.58/34.99                tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99              (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                 (hAPP @ c_Suc @ 
% 240.58/34.99                  (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                v_ka____) @ 
% 240.58/34.99               tc_nat))) @ 
% 240.58/34.99            tc_Complex_Ocomplex)
% 240.58/34.99            != (c_HOL_Ominus__class_Ominus @ 
% 240.58/34.99                (hAPP @ 
% 240.58/34.99                 (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99                  (c_COMBB @ v_a____ @ 
% 240.58/34.99                   (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                    (hAPP @ c_Suc @ 
% 240.58/34.99                     (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                   tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99                 (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                  (hAPP @ 
% 240.58/34.99                   (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                    (hAPP @ c_Suc @ 
% 240.58/34.99                     (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                   v_ka____) @ 
% 240.58/34.99                  tc_nat)) @ 
% 240.58/34.99                (hAPP @ 
% 240.58/34.99                 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 240.58/34.99                  (hAPP @ 
% 240.58/34.99                   (hAPP @ 
% 240.58/34.99                    (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 240.58/34.99                    (c_FFT__Mirabelle_Oroot @ 
% 240.58/34.99                     (hAPP @ 
% 240.58/34.99                      (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                       (hAPP @ c_Suc @ 
% 240.58/34.99                        (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                      (hAPP @ 
% 240.58/34.99                       (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                        (hAPP @ c_Suc @ 
% 240.58/34.99                         (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                       v_ka____)))) @ 
% 240.58/34.99                   (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                    (hAPP @ 
% 240.58/34.99                     (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                      (hAPP @ c_Suc @ 
% 240.58/34.99                       (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                     v_ka____) @ 
% 240.58/34.99                    tc_nat))) @ 
% 240.58/34.99                 (hAPP @ 
% 240.58/34.99                  (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99                   (c_COMBB @ v_a____ @ 
% 240.58/34.99                    (c_COMBB @ c_Suc @ 
% 240.58/34.99                     (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                      (hAPP @ c_Suc @ 
% 240.58/34.99                       (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                     tc_nat @ tc_nat @ tc_nat) @ 
% 240.58/34.99                    tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99                  (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                   (hAPP @ 
% 240.58/34.99                    (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                     (hAPP @ c_Suc @ 
% 240.58/34.99                      (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                    v_ka____) @ 
% 240.58/34.99                   tc_nat))) @ 
% 240.58/34.99                tc_Complex_Ocomplex)))),
% 240.58/34.99      inference('s_sup-', [status(thm)],
% 240.58/34.99                [zip_derived_cl55553, zip_derived_cl64397])).
% 240.58/34.99  thf(zip_derived_cl13414, plain,
% 240.58/34.99      ( (c_HOL_Oord__class_Oless @ 
% 240.58/34.99         (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99          (hAPP @ 
% 240.58/34.99           (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99            (hAPP @ c_Suc @ 
% 240.58/34.99             (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99           v_ka____) @ 
% 240.58/34.99          tc_nat) @ 
% 240.58/34.99         (hAPP @ 
% 240.58/34.99          (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99           (hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99          v_ka____) @ 
% 240.58/34.99         tc_nat)),
% 240.58/34.99      inference('demod', [status(thm)],
% 240.58/34.99                [zip_derived_cl1694, zip_derived_cl1543, zip_derived_cl1543])).
% 240.58/34.99  thf(zip_derived_cl126284, plain,
% 240.58/34.99      (((c_HOL_Ominus__class_Ominus @ 
% 240.58/34.99         (hAPP @ 
% 240.58/34.99          (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99           (c_COMBB @ v_a____ @ 
% 240.58/34.99            (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99             (hAPP @ c_Suc @ 
% 240.58/34.99              (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99            tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99          (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99           (hAPP @ 
% 240.58/34.99            (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99             (hAPP @ c_Suc @ 
% 240.58/34.99              (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99            v_ka____) @ 
% 240.58/34.99           tc_nat)) @ 
% 240.58/34.99         (hAPP @ 
% 240.58/34.99          (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 240.58/34.99           (hAPP @ 
% 240.58/34.99            (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 240.58/34.99             (c_FFT__Mirabelle_Oroot @ 
% 240.58/34.99              (hAPP @ 
% 240.58/34.99               (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                (hAPP @ c_Suc @ 
% 240.58/34.99                 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                 (hAPP @ c_Suc @ 
% 240.58/34.99                  (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                v_ka____)))) @ 
% 240.58/34.99            (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99               (hAPP @ c_Suc @ 
% 240.58/34.99                (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99              v_ka____) @ 
% 240.58/34.99             tc_nat))) @ 
% 240.58/34.99          (hAPP @ 
% 240.58/34.99           (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99            (c_COMBB @ v_a____ @ 
% 240.58/34.99             (c_COMBB @ c_Suc @ 
% 240.58/34.99              (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99               (hAPP @ c_Suc @ 
% 240.58/34.99                (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99              tc_nat @ tc_nat @ tc_nat) @ 
% 240.58/34.99             tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99           (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99            (hAPP @ 
% 240.58/34.99             (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99              (hAPP @ c_Suc @ 
% 240.58/34.99               (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99             v_ka____) @ 
% 240.58/34.99            tc_nat))) @ 
% 240.58/34.99         tc_Complex_Ocomplex)
% 240.58/34.99         != (c_HOL_Ominus__class_Ominus @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99               (c_COMBB @ v_a____ @ 
% 240.58/34.99                (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                 (hAPP @ c_Suc @ 
% 240.58/34.99                  (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99              (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                 (hAPP @ c_Suc @ 
% 240.58/34.99                  (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                v_ka____) @ 
% 240.58/34.99               tc_nat)) @ 
% 240.58/34.99             (hAPP @ 
% 240.58/34.99              (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 240.58/34.99               (hAPP @ 
% 240.58/34.99                (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 240.58/34.99                 (c_FFT__Mirabelle_Oroot @ 
% 240.58/34.99                  (hAPP @ 
% 240.58/34.99                   (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                    (hAPP @ c_Suc @ 
% 240.58/34.99                     (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                   (hAPP @ 
% 240.58/34.99                    (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                     (hAPP @ c_Suc @ 
% 240.58/34.99                      (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                    v_ka____)))) @ 
% 240.58/34.99                (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                 (hAPP @ 
% 240.58/34.99                  (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                   (hAPP @ c_Suc @ 
% 240.58/34.99                    (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                  v_ka____) @ 
% 240.58/34.99                 tc_nat))) @ 
% 240.58/34.99              (hAPP @ 
% 240.58/34.99               (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 240.58/34.99                (c_COMBB @ v_a____ @ 
% 240.58/34.99                 (c_COMBB @ c_Suc @ 
% 240.58/34.99                  (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 240.58/34.99                   (hAPP @ c_Suc @ 
% 240.58/34.99                    (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                  tc_nat @ tc_nat @ tc_nat) @ 
% 240.58/34.99                 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 240.58/34.99               (c_HOL_Ominus__class_Ominus @ v_i____ @ 
% 240.58/34.99                (hAPP @ 
% 240.58/34.99                 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 240.58/34.99                  (hAPP @ c_Suc @ 
% 240.58/34.99                   (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @ 
% 240.58/34.99                 v_ka____) @ 
% 240.58/34.99                tc_nat))) @ 
% 240.58/34.99             tc_Complex_Ocomplex))),
% 240.58/34.99      inference('demod', [status(thm)],
% 240.58/34.99                [zip_derived_cl126279, zip_derived_cl13414])).
% 240.58/34.99  thf(zip_derived_cl126285, plain, ($false),
% 240.58/34.99      inference('simplify', [status(thm)], [zip_derived_cl126284])).
% 240.58/34.99  
% 240.58/34.99  % SZS output end Refutation
% 240.58/34.99  
% 240.58/34.99  
% 240.58/34.99  % Terminating...
% 240.58/35.05  % Runner terminated.
% 240.58/35.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------