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Zipperpin---2.1.9999.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV702-1 : 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.zQbTPdCdH2 true

% Computer : n020.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 26.04s 4.39s
% Output   : Refutation 26.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV702-1 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zQbTPdCdH2 true
% 0.13/0.35  % Computer : n020.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 12:47:53 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
% 0.54/0.64  % Total configuration time : 435
% 0.54/0.64  % Estimated wc time : 1092
% 0.54/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 26.04/4.39  % Solved by fo/fo4.sh.
% 26.04/4.39  % done 556 iterations in 3.521s
% 26.04/4.39  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.04/4.39  % SZS output start Refutation
% 26.04/4.39  thf(c_FFT__Mirabelle_OFFT_type, type, c_FFT__Mirabelle_OFFT: $i > $i > $i).
% 26.04/4.39  thf(v_a_____type, type, v_a____: $i).
% 26.04/4.39  thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 26.04/4.39  thf(tc_nat_type, type, tc_nat: $i).
% 26.04/4.39  thf(c_Int_OBit0_type, type, c_Int_OBit0: $i > $i).
% 26.04/4.39  thf(c_FFT__Mirabelle_Oroot_type, type, c_FFT__Mirabelle_Oroot: $i > $i).
% 26.04/4.39  thf(c_FFT__Mirabelle_ODFT_type, type, c_FFT__Mirabelle_ODFT: $i > $i > $i > $i).
% 26.04/4.39  thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i).
% 26.04/4.39  thf(c_Suc_type, type, c_Suc: $i).
% 26.04/4.39  thf(v_i_____type, type, v_i____: $i).
% 26.04/4.39  thf(c_Int_OBit1_type, type, c_Int_OBit1: $i > $i).
% 26.04/4.39  thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 26.04/4.39  thf(c_Int_OPls_type, type, c_Int_OPls: $i).
% 26.04/4.39  thf(c_COMBB_type, type, c_COMBB: $i > $i > $i > $i > $i > $i).
% 26.04/4.39  thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes: 
% 26.04/4.39      $i > $i).
% 26.04/4.39  thf(hAPP_type, type, hAPP: $i > $i > $i).
% 26.04/4.39  thf(c_Power_Opower__class_Opower_type, type, c_Power_Opower__class_Opower: 
% 26.04/4.39      $i > $i).
% 26.04/4.39  thf(v_ka_____type, type, v_ka____: $i).
% 26.04/4.39  thf(c_Int_Onumber__class_Onumber__of_type, type, c_Int_Onumber__class_Onumber__of: 
% 26.04/4.39      $i > $i > $i).
% 26.04/4.39  thf(cls_Suc_Ohyps_0, axiom,
% 26.04/4.39    (( ( c_FFT__Mirabelle_ODFT @
% 26.04/4.39         ( hAPP @
% 26.04/4.39           ( hAPP @
% 26.04/4.39             ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 26.04/4.39             ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39               ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39           v_ka____ ) @ 
% 26.04/4.39         V_a @ V_i ) =
% 26.04/4.39       ( hAPP @ ( c_FFT__Mirabelle_OFFT @ v_ka____ @ V_a ) @ V_i ) ) | 
% 26.04/4.39     ( ~( c_HOL_Oord__class_Oless @
% 26.04/4.39          V_i @ 
% 26.04/4.39          ( hAPP @
% 26.04/4.39            ( hAPP @
% 26.04/4.39              ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 26.04/4.39              ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39            v_ka____ ) @ 
% 26.04/4.39          tc_nat ) ))).
% 26.04/4.39  thf(zip_derived_cl181, plain,
% 26.04/4.39      (![X0 : $i, X1 : $i]:
% 26.04/4.39         (((c_FFT__Mirabelle_ODFT @ 
% 26.04/4.39            (hAPP @ 
% 26.04/4.39             (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39              (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39               (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39             v_ka____) @ 
% 26.04/4.39            X0 @ X1) = (hAPP @ (c_FFT__Mirabelle_OFFT @ v_ka____ @ X0) @ X1))
% 26.04/4.39          | ~ (c_HOL_Oord__class_Oless @ X1 @ 
% 26.04/4.39               (hAPP @ 
% 26.04/4.39                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39                 (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                  (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                v_ka____) @ 
% 26.04/4.39               tc_nat))),
% 26.04/4.39      inference('cnf', [status(esa)], [cls_Suc_Ohyps_0])).
% 26.04/4.39  thf(zip_derived_cl181, plain,
% 26.04/4.39      (![X0 : $i, X1 : $i]:
% 26.04/4.39         (((c_FFT__Mirabelle_ODFT @ 
% 26.04/4.39            (hAPP @ 
% 26.04/4.39             (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39              (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39               (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39             v_ka____) @ 
% 26.04/4.39            X0 @ X1) = (hAPP @ (c_FFT__Mirabelle_OFFT @ v_ka____ @ X0) @ X1))
% 26.04/4.39          | ~ (c_HOL_Oord__class_Oless @ X1 @ 
% 26.04/4.39               (hAPP @ 
% 26.04/4.39                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39                 (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                  (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                v_ka____) @ 
% 26.04/4.39               tc_nat))),
% 26.04/4.39      inference('cnf', [status(esa)], [cls_Suc_Ohyps_0])).
% 26.04/4.39  thf(cls_conjecture_0, conjecture,
% 26.04/4.39    (( hAPP @
% 26.04/4.39       ( hAPP @
% 26.04/4.39         ( c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex ) @ 
% 26.04/4.39         ( c_FFT__Mirabelle_ODFT @
% 26.04/4.39           ( hAPP @
% 26.04/4.39             ( hAPP @
% 26.04/4.39               ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 26.04/4.39               ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39             v_ka____ ) @ 
% 26.04/4.39           ( c_COMBB @
% 26.04/4.39             v_a____ @ 
% 26.04/4.39             ( hAPP @
% 26.04/4.39               ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 26.04/4.39               ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39             tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @ 
% 26.04/4.39           v_i____ ) ) @ 
% 26.04/4.39       ( hAPP @
% 26.04/4.39         ( hAPP @
% 26.04/4.39           ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ 
% 26.04/4.39           ( hAPP @
% 26.04/4.39             ( hAPP @
% 26.04/4.39               ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ 
% 26.04/4.39               ( c_FFT__Mirabelle_Oroot @
% 26.04/4.39                 ( hAPP @
% 26.04/4.39                   ( hAPP @
% 26.04/4.39                     ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 26.04/4.39                     ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                       ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39                   ( hAPP @
% 26.04/4.39                     ( hAPP @
% 26.04/4.39                       ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 26.04/4.39                       ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                         ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ 
% 26.04/4.39                         tc_nat ) ) @ 
% 26.04/4.39                     v_ka____ ) ) ) ) @ 
% 26.04/4.39             v_i____ ) ) @ 
% 26.04/4.39         ( c_FFT__Mirabelle_ODFT @
% 26.04/4.39           ( hAPP @
% 26.04/4.39             ( hAPP @
% 26.04/4.39               ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 26.04/4.39               ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39             v_ka____ ) @ 
% 26.04/4.39           ( c_COMBB @
% 26.04/4.39             v_a____ @ 
% 26.04/4.39             ( c_COMBB @
% 26.04/4.39               c_Suc @ 
% 26.04/4.39               ( hAPP @
% 26.04/4.39                 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 26.04/4.39                 ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                   ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39               tc_nat @ tc_nat @ tc_nat ) @ 
% 26.04/4.39             tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @ 
% 26.04/4.39           v_i____ ) ) ) =
% 26.04/4.39     ( hAPP @
% 26.04/4.39       ( hAPP @
% 26.04/4.39         ( c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex ) @ 
% 26.04/4.39         ( hAPP @
% 26.04/4.39           ( c_FFT__Mirabelle_OFFT @
% 26.04/4.39             v_ka____ @ 
% 26.04/4.39             ( c_COMBB @
% 26.04/4.39               v_a____ @ 
% 26.04/4.39               ( hAPP @
% 26.04/4.39                 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 26.04/4.39                 ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                   ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39               tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @ 
% 26.04/4.39           v_i____ ) ) @ 
% 26.04/4.39       ( hAPP @
% 26.04/4.39         ( hAPP @
% 26.04/4.39           ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ 
% 26.04/4.39           ( hAPP @
% 26.04/4.39             ( hAPP @
% 26.04/4.39               ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ 
% 26.04/4.39               ( c_FFT__Mirabelle_Oroot @
% 26.04/4.39                 ( hAPP @
% 26.04/4.39                   ( hAPP @
% 26.04/4.39                     ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 26.04/4.39                     ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                       ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39                   ( hAPP @
% 26.04/4.39                     ( hAPP @
% 26.04/4.39                       ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 26.04/4.39                       ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                         ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ 
% 26.04/4.39                         tc_nat ) ) @ 
% 26.04/4.39                     v_ka____ ) ) ) ) @ 
% 26.04/4.39             v_i____ ) ) @ 
% 26.04/4.39         ( hAPP @
% 26.04/4.39           ( c_FFT__Mirabelle_OFFT @
% 26.04/4.39             v_ka____ @ 
% 26.04/4.39             ( c_COMBB @
% 26.04/4.39               v_a____ @ 
% 26.04/4.39               ( c_COMBB @
% 26.04/4.39                 c_Suc @ 
% 26.04/4.39                 ( hAPP @
% 26.04/4.39                   ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 26.04/4.39                   ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                     ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39                 tc_nat @ tc_nat @ tc_nat ) @ 
% 26.04/4.39               tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @ 
% 26.04/4.39           v_i____ ) ) ))).
% 26.04/4.39  thf(zf_stmt_0, negated_conjecture,
% 26.04/4.39    (( hAPP @
% 26.04/4.39       ( hAPP @
% 26.04/4.39         ( c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex ) @ 
% 26.04/4.39         ( c_FFT__Mirabelle_ODFT @
% 26.04/4.39           ( hAPP @
% 26.04/4.39             ( hAPP @
% 26.04/4.39               ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 26.04/4.39               ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39             v_ka____ ) @ 
% 26.04/4.39           ( c_COMBB @
% 26.04/4.39             v_a____ @ 
% 26.04/4.39             ( hAPP @
% 26.04/4.39               ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 26.04/4.39               ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39             tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @ 
% 26.04/4.39           v_i____ ) ) @ 
% 26.04/4.39       ( hAPP @
% 26.04/4.39         ( hAPP @
% 26.04/4.39           ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ 
% 26.04/4.39           ( hAPP @
% 26.04/4.39             ( hAPP @
% 26.04/4.39               ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ 
% 26.04/4.39               ( c_FFT__Mirabelle_Oroot @
% 26.04/4.39                 ( hAPP @
% 26.04/4.39                   ( hAPP @
% 26.04/4.39                     ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 26.04/4.39                     ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                       ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39                   ( hAPP @
% 26.04/4.39                     ( hAPP @
% 26.04/4.39                       ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 26.04/4.39                       ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                         ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ 
% 26.04/4.39                         tc_nat ) ) @ 
% 26.04/4.39                     v_ka____ ) ) ) ) @ 
% 26.04/4.39             v_i____ ) ) @ 
% 26.04/4.39         ( c_FFT__Mirabelle_ODFT @
% 26.04/4.39           ( hAPP @
% 26.04/4.39             ( hAPP @
% 26.04/4.39               ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 26.04/4.39               ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39             v_ka____ ) @ 
% 26.04/4.39           ( c_COMBB @
% 26.04/4.39             v_a____ @ 
% 26.04/4.39             ( c_COMBB @
% 26.04/4.39               c_Suc @ 
% 26.04/4.39               ( hAPP @
% 26.04/4.39                 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 26.04/4.39                 ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                   ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39               tc_nat @ tc_nat @ tc_nat ) @ 
% 26.04/4.39             tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @ 
% 26.04/4.39           v_i____ ) ) ) !=
% 26.04/4.39     ( hAPP @
% 26.04/4.39       ( hAPP @
% 26.04/4.39         ( c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex ) @ 
% 26.04/4.39         ( hAPP @
% 26.04/4.39           ( c_FFT__Mirabelle_OFFT @
% 26.04/4.39             v_ka____ @ 
% 26.04/4.39             ( c_COMBB @
% 26.04/4.39               v_a____ @ 
% 26.04/4.39               ( hAPP @
% 26.04/4.39                 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 26.04/4.39                 ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                   ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39               tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @ 
% 26.04/4.39           v_i____ ) ) @ 
% 26.04/4.39       ( hAPP @
% 26.04/4.39         ( hAPP @
% 26.04/4.39           ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ 
% 26.04/4.39           ( hAPP @
% 26.04/4.39             ( hAPP @
% 26.04/4.39               ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ 
% 26.04/4.39               ( c_FFT__Mirabelle_Oroot @
% 26.04/4.39                 ( hAPP @
% 26.04/4.39                   ( hAPP @
% 26.04/4.39                     ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 26.04/4.39                     ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                       ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39                   ( hAPP @
% 26.04/4.39                     ( hAPP @
% 26.04/4.39                       ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 26.04/4.39                       ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                         ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ 
% 26.04/4.39                         tc_nat ) ) @ 
% 26.04/4.39                     v_ka____ ) ) ) ) @ 
% 26.04/4.39             v_i____ ) ) @ 
% 26.04/4.39         ( hAPP @
% 26.04/4.39           ( c_FFT__Mirabelle_OFFT @
% 26.04/4.39             v_ka____ @ 
% 26.04/4.39             ( c_COMBB @
% 26.04/4.39               v_a____ @ 
% 26.04/4.39               ( c_COMBB @
% 26.04/4.39                 c_Suc @ 
% 26.04/4.39                 ( hAPP @
% 26.04/4.39                   ( c_HOL_Otimes__class_Otimes @ tc_nat ) @ 
% 26.04/4.39                   ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39                     ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39                 tc_nat @ tc_nat @ tc_nat ) @ 
% 26.04/4.39               tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @ 
% 26.04/4.39           v_i____ ) ) )),
% 26.04/4.39    inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 26.04/4.39  thf(zip_derived_cl217, plain,
% 26.04/4.39      (((hAPP @ 
% 26.04/4.39         (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @ 
% 26.04/4.39          (c_FFT__Mirabelle_ODFT @ 
% 26.04/4.39           (hAPP @ 
% 26.04/4.39            (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39             (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39              (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39            v_ka____) @ 
% 26.04/4.39           (c_COMBB @ v_a____ @ 
% 26.04/4.39            (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39             (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39              (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39            tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 26.04/4.39           v_i____)) @ 
% 26.04/4.39         (hAPP @ 
% 26.04/4.39          (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 26.04/4.39           (hAPP @ 
% 26.04/4.39            (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 26.04/4.39             (c_FFT__Mirabelle_Oroot @ 
% 26.04/4.39              (hAPP @ 
% 26.04/4.39               (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39               (hAPP @ 
% 26.04/4.39                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39                 (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                  (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                v_ka____)))) @ 
% 26.04/4.39            v_i____)) @ 
% 26.04/4.39          (c_FFT__Mirabelle_ODFT @ 
% 26.04/4.39           (hAPP @ 
% 26.04/4.39            (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39             (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39              (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39            v_ka____) @ 
% 26.04/4.39           (c_COMBB @ v_a____ @ 
% 26.04/4.39            (c_COMBB @ c_Suc @ 
% 26.04/4.39             (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39              (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39               (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39             tc_nat @ tc_nat @ tc_nat) @ 
% 26.04/4.39            tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 26.04/4.39           v_i____)))
% 26.04/4.39         != (hAPP @ 
% 26.04/4.39             (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @ 
% 26.04/4.39              (hAPP @ 
% 26.04/4.39               (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39                (c_COMBB @ v_a____ @ 
% 26.04/4.39                 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                  (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                   (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39               v_i____)) @ 
% 26.04/4.39             (hAPP @ 
% 26.04/4.39              (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 26.04/4.39               (hAPP @ 
% 26.04/4.39                (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 26.04/4.39                 (c_FFT__Mirabelle_Oroot @ 
% 26.04/4.39                  (hAPP @ 
% 26.04/4.39                   (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                    (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                     (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                   (hAPP @ 
% 26.04/4.39                    (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39                     (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                      (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                    v_ka____)))) @ 
% 26.04/4.39                v_i____)) @ 
% 26.04/4.39              (hAPP @ 
% 26.04/4.39               (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39                (c_COMBB @ v_a____ @ 
% 26.04/4.39                 (c_COMBB @ c_Suc @ 
% 26.04/4.39                  (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                   (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                    (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                  tc_nat @ tc_nat @ tc_nat) @ 
% 26.04/4.39                 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39               v_i____))))),
% 26.04/4.39      inference('cnf', [status(esa)], [zf_stmt_0])).
% 26.04/4.39  thf(zip_derived_cl14173, plain,
% 26.04/4.39      ((((hAPP @ 
% 26.04/4.39          (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @ 
% 26.04/4.39           (c_FFT__Mirabelle_ODFT @ 
% 26.04/4.39            (hAPP @ 
% 26.04/4.39             (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39              (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39               (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39             v_ka____) @ 
% 26.04/4.39            (c_COMBB @ v_a____ @ 
% 26.04/4.39             (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39              (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39               (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39             tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 26.04/4.39            v_i____)) @ 
% 26.04/4.39          (hAPP @ 
% 26.04/4.39           (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 26.04/4.39            (hAPP @ 
% 26.04/4.39             (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 26.04/4.39              (c_FFT__Mirabelle_Oroot @ 
% 26.04/4.39               (hAPP @ 
% 26.04/4.39                (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                 (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                  (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                (hAPP @ 
% 26.04/4.39                 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39                  (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                   (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                 v_ka____)))) @ 
% 26.04/4.39             v_i____)) @ 
% 26.04/4.39           (hAPP @ 
% 26.04/4.39            (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39             (c_COMBB @ v_a____ @ 
% 26.04/4.39              (c_COMBB @ c_Suc @ 
% 26.04/4.39               (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39               tc_nat @ tc_nat @ tc_nat) @ 
% 26.04/4.39              tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39            v_i____)))
% 26.04/4.39          != (hAPP @ 
% 26.04/4.39              (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @ 
% 26.04/4.39               (hAPP @ 
% 26.04/4.39                (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39                 (c_COMBB @ v_a____ @ 
% 26.04/4.39                  (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                   (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                    (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                  tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39                v_i____)) @ 
% 26.04/4.39              (hAPP @ 
% 26.04/4.39               (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 26.04/4.39                (hAPP @ 
% 26.04/4.39                 (hAPP @ 
% 26.04/4.39                  (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 26.04/4.39                  (c_FFT__Mirabelle_Oroot @ 
% 26.04/4.39                   (hAPP @ 
% 26.04/4.39                    (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                     (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                      (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                    (hAPP @ 
% 26.04/4.39                     (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39                      (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                       (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                     v_ka____)))) @ 
% 26.04/4.39                 v_i____)) @ 
% 26.04/4.39               (hAPP @ 
% 26.04/4.39                (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39                 (c_COMBB @ v_a____ @ 
% 26.04/4.39                  (c_COMBB @ c_Suc @ 
% 26.04/4.39                   (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                    (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                     (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                   tc_nat @ tc_nat @ tc_nat) @ 
% 26.04/4.39                  tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39                v_i____))))
% 26.04/4.39        | ~ (c_HOL_Oord__class_Oless @ v_i____ @ 
% 26.04/4.39             (hAPP @ 
% 26.04/4.39              (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39               (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39              v_ka____) @ 
% 26.04/4.39             tc_nat))),
% 26.04/4.39      inference('sup-', [status(thm)], [zip_derived_cl181, zip_derived_cl217])).
% 26.04/4.39  thf(cls_True_0, axiom,
% 26.04/4.39    (c_HOL_Oord__class_Oless @
% 26.04/4.39     v_i____ @ 
% 26.04/4.39     ( hAPP @
% 26.04/4.39       ( hAPP @
% 26.04/4.39         ( c_Power_Opower__class_Opower @ tc_nat ) @ 
% 26.04/4.39         ( c_Int_Onumber__class_Onumber__of @
% 26.04/4.39           ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @ 
% 26.04/4.39       v_ka____ ) @ 
% 26.04/4.39     tc_nat)).
% 26.04/4.39  thf(zip_derived_cl183, plain,
% 26.04/4.39      ( (c_HOL_Oord__class_Oless @ v_i____ @ 
% 26.04/4.39         (hAPP @ 
% 26.04/4.39          (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39           (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39          v_ka____) @ 
% 26.04/4.39         tc_nat)),
% 26.04/4.39      inference('cnf', [status(esa)], [cls_True_0])).
% 26.04/4.39  thf(zip_derived_cl14565, plain,
% 26.04/4.39      (((hAPP @ 
% 26.04/4.39         (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @ 
% 26.04/4.39          (c_FFT__Mirabelle_ODFT @ 
% 26.04/4.39           (hAPP @ 
% 26.04/4.39            (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39             (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39              (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39            v_ka____) @ 
% 26.04/4.39           (c_COMBB @ v_a____ @ 
% 26.04/4.39            (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39             (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39              (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39            tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 26.04/4.39           v_i____)) @ 
% 26.04/4.39         (hAPP @ 
% 26.04/4.39          (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 26.04/4.39           (hAPP @ 
% 26.04/4.39            (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 26.04/4.39             (c_FFT__Mirabelle_Oroot @ 
% 26.04/4.39              (hAPP @ 
% 26.04/4.39               (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39               (hAPP @ 
% 26.04/4.39                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39                 (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                  (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                v_ka____)))) @ 
% 26.04/4.39            v_i____)) @ 
% 26.04/4.39          (hAPP @ 
% 26.04/4.39           (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39            (c_COMBB @ v_a____ @ 
% 26.04/4.39             (c_COMBB @ c_Suc @ 
% 26.04/4.39              (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39               (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39              tc_nat @ tc_nat @ tc_nat) @ 
% 26.04/4.39             tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39           v_i____)))
% 26.04/4.39         != (hAPP @ 
% 26.04/4.39             (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @ 
% 26.04/4.39              (hAPP @ 
% 26.04/4.39               (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39                (c_COMBB @ v_a____ @ 
% 26.04/4.39                 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                  (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                   (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39               v_i____)) @ 
% 26.04/4.39             (hAPP @ 
% 26.04/4.39              (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 26.04/4.39               (hAPP @ 
% 26.04/4.39                (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 26.04/4.39                 (c_FFT__Mirabelle_Oroot @ 
% 26.04/4.39                  (hAPP @ 
% 26.04/4.39                   (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                    (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                     (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                   (hAPP @ 
% 26.04/4.39                    (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39                     (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                      (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                    v_ka____)))) @ 
% 26.04/4.39                v_i____)) @ 
% 26.04/4.39              (hAPP @ 
% 26.04/4.39               (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39                (c_COMBB @ v_a____ @ 
% 26.04/4.39                 (c_COMBB @ c_Suc @ 
% 26.04/4.39                  (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                   (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                    (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                  tc_nat @ tc_nat @ tc_nat) @ 
% 26.04/4.39                 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39               v_i____))))),
% 26.04/4.39      inference('demod', [status(thm)],
% 26.04/4.39                [zip_derived_cl14173, zip_derived_cl183])).
% 26.04/4.39  thf(zip_derived_cl14853, plain,
% 26.04/4.39      ((((hAPP @ 
% 26.04/4.39          (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @ 
% 26.04/4.39           (hAPP @ 
% 26.04/4.39            (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39             (c_COMBB @ v_a____ @ 
% 26.04/4.39              (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39               (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39              tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39            v_i____)) @ 
% 26.04/4.39          (hAPP @ 
% 26.04/4.39           (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 26.04/4.39            (hAPP @ 
% 26.04/4.39             (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 26.04/4.39              (c_FFT__Mirabelle_Oroot @ 
% 26.04/4.39               (hAPP @ 
% 26.04/4.39                (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                 (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                  (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                (hAPP @ 
% 26.04/4.39                 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39                  (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                   (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                 v_ka____)))) @ 
% 26.04/4.39             v_i____)) @ 
% 26.04/4.39           (hAPP @ 
% 26.04/4.39            (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39             (c_COMBB @ v_a____ @ 
% 26.04/4.39              (c_COMBB @ c_Suc @ 
% 26.04/4.39               (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39               tc_nat @ tc_nat @ tc_nat) @ 
% 26.04/4.39              tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39            v_i____)))
% 26.04/4.39          != (hAPP @ 
% 26.04/4.39              (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @ 
% 26.04/4.39               (hAPP @ 
% 26.04/4.39                (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39                 (c_COMBB @ v_a____ @ 
% 26.04/4.39                  (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                   (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                    (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                  tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39                v_i____)) @ 
% 26.04/4.39              (hAPP @ 
% 26.04/4.39               (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 26.04/4.39                (hAPP @ 
% 26.04/4.39                 (hAPP @ 
% 26.04/4.39                  (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 26.04/4.39                  (c_FFT__Mirabelle_Oroot @ 
% 26.04/4.39                   (hAPP @ 
% 26.04/4.39                    (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                     (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                      (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                    (hAPP @ 
% 26.04/4.39                     (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39                      (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                       (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                     v_ka____)))) @ 
% 26.04/4.39                 v_i____)) @ 
% 26.04/4.39               (hAPP @ 
% 26.04/4.39                (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39                 (c_COMBB @ v_a____ @ 
% 26.04/4.39                  (c_COMBB @ c_Suc @ 
% 26.04/4.39                   (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                    (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                     (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                   tc_nat @ tc_nat @ tc_nat) @ 
% 26.04/4.39                  tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39                v_i____))))
% 26.04/4.39        | ~ (c_HOL_Oord__class_Oless @ v_i____ @ 
% 26.04/4.39             (hAPP @ 
% 26.04/4.39              (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39               (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39              v_ka____) @ 
% 26.04/4.39             tc_nat))),
% 26.04/4.39      inference('sup-', [status(thm)], [zip_derived_cl181, zip_derived_cl14565])).
% 26.04/4.39  thf(zip_derived_cl183, plain,
% 26.04/4.39      ( (c_HOL_Oord__class_Oless @ v_i____ @ 
% 26.04/4.39         (hAPP @ 
% 26.04/4.39          (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39           (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39          v_ka____) @ 
% 26.04/4.39         tc_nat)),
% 26.04/4.39      inference('cnf', [status(esa)], [cls_True_0])).
% 26.04/4.39  thf(zip_derived_cl14970, plain,
% 26.04/4.39      (((hAPP @ 
% 26.04/4.39         (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @ 
% 26.04/4.39          (hAPP @ 
% 26.04/4.39           (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39            (c_COMBB @ v_a____ @ 
% 26.04/4.39             (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39              (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39               (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39             tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39           v_i____)) @ 
% 26.04/4.39         (hAPP @ 
% 26.04/4.39          (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 26.04/4.39           (hAPP @ 
% 26.04/4.39            (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 26.04/4.39             (c_FFT__Mirabelle_Oroot @ 
% 26.04/4.39              (hAPP @ 
% 26.04/4.39               (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39               (hAPP @ 
% 26.04/4.39                (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39                 (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                  (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                v_ka____)))) @ 
% 26.04/4.39            v_i____)) @ 
% 26.04/4.39          (hAPP @ 
% 26.04/4.39           (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39            (c_COMBB @ v_a____ @ 
% 26.04/4.39             (c_COMBB @ c_Suc @ 
% 26.04/4.39              (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39               (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39              tc_nat @ tc_nat @ tc_nat) @ 
% 26.04/4.39             tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39           v_i____)))
% 26.04/4.39         != (hAPP @ 
% 26.04/4.39             (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @ 
% 26.04/4.39              (hAPP @ 
% 26.04/4.39               (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39                (c_COMBB @ v_a____ @ 
% 26.04/4.39                 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                  (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                   (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39               v_i____)) @ 
% 26.04/4.39             (hAPP @ 
% 26.04/4.39              (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @ 
% 26.04/4.39               (hAPP @ 
% 26.04/4.39                (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 26.04/4.39                 (c_FFT__Mirabelle_Oroot @ 
% 26.04/4.39                  (hAPP @ 
% 26.04/4.39                   (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                    (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                     (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                   (hAPP @ 
% 26.04/4.39                    (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @ 
% 26.04/4.39                     (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                      (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                    v_ka____)))) @ 
% 26.04/4.39                v_i____)) @ 
% 26.04/4.39              (hAPP @ 
% 26.04/4.39               (c_FFT__Mirabelle_OFFT @ v_ka____ @ 
% 26.04/4.39                (c_COMBB @ v_a____ @ 
% 26.04/4.39                 (c_COMBB @ c_Suc @ 
% 26.04/4.39                  (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @ 
% 26.04/4.39                   (c_Int_Onumber__class_Onumber__of @ 
% 26.04/4.39                    (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @ 
% 26.04/4.39                  tc_nat @ tc_nat @ tc_nat) @ 
% 26.04/4.39                 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @ 
% 26.04/4.39               v_i____))))),
% 26.04/4.39      inference('demod', [status(thm)],
% 26.04/4.39                [zip_derived_cl14853, zip_derived_cl183])).
% 26.04/4.39  thf(zip_derived_cl14971, plain, ($false),
% 26.04/4.39      inference('simplify', [status(thm)], [zip_derived_cl14970])).
% 26.04/4.39  
% 26.04/4.39  % SZS output end Refutation
% 26.04/4.39  
% 26.04/4.39  
% 26.04/4.39  % Terminating...
% 26.58/4.52  % Runner terminated.
% 26.58/4.54  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------