TSTP Solution File: SWV693-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV693-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.R7Tdegw5Mc true

% Computer : n021.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 : Fri Sep  1 00:11:48 EDT 2023

% Result   : Unsatisfiable 99.08s 14.75s
% Output   : Refutation 99.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWV693-1 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.R7Tdegw5Mc true
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Tue Aug 29 10:44:14 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % 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
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 99.08/14.75  % Solved by fo/fo3_bce.sh.
% 99.08/14.75  % BCE start: 1010
% 99.08/14.75  % BCE eliminated: 258
% 99.08/14.75  % PE start: 752
% 99.08/14.75  logic: eq
% 99.08/14.75  % PE eliminated: -23
% 99.08/14.75  % done 1325 iterations in 13.990s
% 99.08/14.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 99.08/14.75  % SZS output start Refutation
% 99.08/14.75  thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes: 
% 99.08/14.75      $i > $i).
% 99.08/14.75  thf(c_Power_Opower__class_Opower_type, type, c_Power_Opower__class_Opower: 
% 99.08/14.75      $i > $i).
% 99.08/14.75  thf(c_Lattices_Oupper__semilattice__class_Osup_type, type, c_Lattices_Oupper__semilattice__class_Osup: 
% 99.08/14.75      $i > $i > $i > $i).
% 99.08/14.75  thf(c_COMBC_type, type, c_COMBC: $i > $i > $i > $i > $i).
% 99.08/14.75  thf(class_Orderings_Olinorder_type, type, class_Orderings_Olinorder: $i > $o).
% 99.08/14.75  thf(c_SetInterval_Oord__class_OgreaterThanLessThan_type, type, c_SetInterval_Oord__class_OgreaterThanLessThan: 
% 99.08/14.75      $i > $i > $i > $i).
% 99.08/14.75  thf(c_Suc_type, type, c_Suc: $i).
% 99.08/14.75  thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 99.08/14.75  thf(tc_nat_type, type, tc_nat: $i).
% 99.08/14.75  thf(v_a_type, type, v_a: $i).
% 99.08/14.75  thf(hBOOL_type, type, hBOOL: $i > $o).
% 99.08/14.75  thf(hAPP_type, type, hAPP: $i > $i > $i).
% 99.08/14.75  thf(c_Finite__Set_Osetsum_type, type, c_Finite__Set_Osetsum: $i > $i > $i).
% 99.08/14.75  thf(c_COMBB_type, type, c_COMBB: $i > $i > $i > $i).
% 99.08/14.75  thf(v_i_type, type, v_i: $i).
% 99.08/14.75  thf(c_Orderings_Obot__class_Obot_type, type, c_Orderings_Obot__class_Obot: 
% 99.08/14.75      $i > $i).
% 99.08/14.75  thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 99.08/14.75  thf(tc_bool_type, type, tc_bool: $i).
% 99.08/14.75  thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 99.08/14.75  thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus: 
% 99.08/14.75      $i > $i).
% 99.08/14.75  thf(c_SetInterval_Oord__class_OatLeastLessThan_type, type, c_SetInterval_Oord__class_OatLeastLessThan: 
% 99.08/14.75      $i > $i > $i > $i).
% 99.08/14.75  thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i).
% 99.08/14.75  thf(c_Set_Oinsert_type, type, c_Set_Oinsert: $i > $i > $i > $i).
% 99.08/14.75  thf(v_n_type, type, v_n: $i).
% 99.08/14.75  thf(c_FFT__Mirabelle_Oroot_type, type, c_FFT__Mirabelle_Oroot: $i > $i).
% 99.08/14.75  thf(c_COMBS_type, type, c_COMBS: $i > $i > $i > $i > $i > $i).
% 99.08/14.75  thf(clsarity_nat__Orderings_Olinorder, axiom,
% 99.08/14.75    (class_Orderings_Olinorder @ tc_nat)).
% 99.08/14.75  thf(zip_derived_cl981, plain, ( (class_Orderings_Olinorder @ tc_nat)),
% 99.08/14.75      inference('cnf', [status(esa)], [clsarity_nat__Orderings_Olinorder])).
% 99.08/14.75  thf(cls_ivl__disj__un_I3_J_0, axiom,
% 99.08/14.75    (( ~( class_Orderings_Olinorder @ T_a ) ) | 
% 99.08/14.75     ( ( c_Lattices_Oupper__semilattice__class_Osup @
% 99.08/14.75         ( c_Set_Oinsert @
% 99.08/14.75           V_l @ 
% 99.08/14.75           ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ 
% 99.08/14.75         ( c_SetInterval_Oord__class_OgreaterThanLessThan @ V_l @ V_u @ T_a ) @ 
% 99.08/14.75         ( tc_fun @ T_a @ tc_bool ) ) =
% 99.08/14.75       ( c_SetInterval_Oord__class_OatLeastLessThan @ V_l @ V_u @ T_a ) ) | 
% 99.08/14.75     ( ~( hBOOL @ ( hAPP @ ( c_HOL_Oord__class_Oless @ V_l @ T_a ) @ V_u ) ) ))).
% 99.08/14.75  thf(zip_derived_cl898, plain,
% 99.08/14.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 99.08/14.75         (~ (class_Orderings_Olinorder @ X0)
% 99.08/14.75          | ((c_Lattices_Oupper__semilattice__class_Osup @ 
% 99.08/14.75              (c_Set_Oinsert @ X1 @ 
% 99.08/14.75               (c_Orderings_Obot__class_Obot @ (tc_fun @ X0 @ tc_bool)) @ X0) @ 
% 99.08/14.75              (c_SetInterval_Oord__class_OgreaterThanLessThan @ X1 @ X2 @ X0) @ 
% 99.08/14.75              (tc_fun @ X0 @ tc_bool))
% 99.08/14.75              = (c_SetInterval_Oord__class_OatLeastLessThan @ X1 @ X2 @ X0))
% 99.08/14.75          | ~ (hBOOL @ (hAPP @ (c_HOL_Oord__class_Oless @ X1 @ X0) @ X2)))),
% 99.08/14.75      inference('cnf', [status(esa)], [cls_ivl__disj__un_I3_J_0])).
% 99.08/14.75  thf(zip_derived_cl2734, plain,
% 99.08/14.75      (![X0 : $i, X1 : $i]:
% 99.08/14.75         (~ (hBOOL @ (hAPP @ (c_HOL_Oord__class_Oless @ X1 @ tc_nat) @ X0))
% 99.08/14.75          | ((c_Lattices_Oupper__semilattice__class_Osup @ 
% 99.08/14.75              (c_Set_Oinsert @ X1 @ 
% 99.08/14.75               (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @ 
% 99.08/14.75               tc_nat) @ 
% 99.08/14.75              (c_SetInterval_Oord__class_OgreaterThanLessThan @ X1 @ X0 @ 
% 99.08/14.75               tc_nat) @ 
% 99.08/14.75              (tc_fun @ tc_nat @ tc_bool))
% 99.08/14.75              = (c_SetInterval_Oord__class_OatLeastLessThan @ X1 @ X0 @ tc_nat)))),
% 99.08/14.75      inference('dp-resolution', [status(thm)],
% 99.08/14.75                [zip_derived_cl981, zip_derived_cl898])).
% 99.08/14.75  thf(cls_atLeastLessThan__singleton_0, axiom,
% 99.08/14.75    (( c_SetInterval_Oord__class_OatLeastLessThan @
% 99.08/14.75       V_m @ ( hAPP @ c_Suc @ V_m ) @ tc_nat ) =
% 99.08/14.75     ( c_Set_Oinsert @
% 99.08/14.75       V_m @ 
% 99.08/14.75       ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_nat @ tc_bool ) ) @ 
% 99.08/14.75       tc_nat ))).
% 99.08/14.75  thf(zip_derived_cl887, plain,
% 99.08/14.75      (![X0 : $i]:
% 99.08/14.75         ((c_SetInterval_Oord__class_OatLeastLessThan @ X0 @ 
% 99.08/14.75           (hAPP @ c_Suc @ X0) @ tc_nat)
% 99.08/14.75           = (c_Set_Oinsert @ X0 @ 
% 99.08/14.75              (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @ 
% 99.08/14.75              tc_nat))),
% 99.08/14.75      inference('cnf', [status(esa)], [cls_atLeastLessThan__singleton_0])).
% 99.08/14.75  thf(cls_atLeastSucLessThan__greaterThanLessThan_0, axiom,
% 99.08/14.75    (( c_SetInterval_Oord__class_OatLeastLessThan @
% 99.08/14.75       ( hAPP @ c_Suc @ V_l ) @ V_u @ tc_nat ) =
% 99.08/14.75     ( c_SetInterval_Oord__class_OgreaterThanLessThan @ V_l @ V_u @ tc_nat ))).
% 99.08/14.75  thf(zip_derived_cl847, plain,
% 99.08/14.75      (![X0 : $i, X1 : $i]:
% 99.08/14.75         ((c_SetInterval_Oord__class_OatLeastLessThan @ (hAPP @ c_Suc @ X0) @ 
% 99.08/14.75           X1 @ tc_nat)
% 99.08/14.75           = (c_SetInterval_Oord__class_OgreaterThanLessThan @ X0 @ X1 @ tc_nat))),
% 99.08/14.75      inference('cnf', [status(esa)],
% 99.08/14.75                [cls_atLeastSucLessThan__greaterThanLessThan_0])).
% 99.08/14.75  thf(zip_derived_cl25524, plain,
% 99.08/14.75      (![X0 : $i, X1 : $i]:
% 99.08/14.75         (~ (hBOOL @ (hAPP @ (c_HOL_Oord__class_Oless @ X1 @ tc_nat) @ X0))
% 99.08/14.75          | ((c_Lattices_Oupper__semilattice__class_Osup @ 
% 99.08/14.75              (c_SetInterval_Oord__class_OatLeastLessThan @ X1 @ 
% 99.08/14.75               (hAPP @ c_Suc @ X1) @ tc_nat) @ 
% 99.08/14.75              (c_SetInterval_Oord__class_OatLeastLessThan @ 
% 99.08/14.75               (hAPP @ c_Suc @ X1) @ X0 @ tc_nat) @ 
% 99.08/14.75              (tc_fun @ tc_nat @ tc_bool))
% 99.08/14.75              = (c_SetInterval_Oord__class_OatLeastLessThan @ X1 @ X0 @ tc_nat)))),
% 99.08/14.75      inference('demod', [status(thm)],
% 99.08/14.75                [zip_derived_cl2734, zip_derived_cl887, zip_derived_cl847])).
% 99.08/14.75  thf(cls_conjecture_0, conjecture,
% 99.08/14.75    (( hAPP @
% 99.08/14.75       ( hAPP @
% 99.08/14.75         ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75         ( c_COMBS @
% 99.08/14.75           ( hAPP @
% 99.08/14.75             ( hAPP @
% 99.08/14.75               ( c_COMBB @
% 99.08/14.75                 tc_Complex_Ocomplex @ 
% 99.08/14.75                 ( tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                 tc_nat ) @ 
% 99.08/14.75               ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75             ( hAPP @
% 99.08/14.75               ( c_COMBC @
% 99.08/14.75                 ( hAPP @
% 99.08/14.75                   ( hAPP @
% 99.08/14.75                     ( c_COMBB @
% 99.08/14.75                       ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                       ( tc_fun @
% 99.08/14.75                         ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                       tc_nat ) @ 
% 99.08/14.75                     ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75                   ( hAPP @
% 99.08/14.75                     ( hAPP @
% 99.08/14.75                       ( c_COMBB @
% 99.08/14.75                         tc_Complex_Ocomplex @ 
% 99.08/14.75                         ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @ tc_nat ) @ 
% 99.08/14.75                       ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75                     ( hAPP @
% 99.08/14.75                       ( hAPP @
% 99.08/14.75                         ( c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @ 
% 99.08/14.75                         ( hAPP @
% 99.08/14.75                           ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                           ( c_FFT__Mirabelle_Oroot @ v_n ) ) ) @ 
% 99.08/14.75                       ( hAPP @
% 99.08/14.75                         ( c_COMBC @
% 99.08/14.75                           ( c_HOL_Ominus__class_Ominus @ tc_nat ) @ tc_nat @ 
% 99.08/14.75                           tc_nat @ tc_nat ) @ 
% 99.08/14.75                         v_i ) ) ) ) @ 
% 99.08/14.75                 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75               ( c_SetInterval_Oord__class_OatLeastLessThan @
% 99.08/14.75                 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ v_n @ tc_nat ) ) ) @ 
% 99.08/14.75           v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75       ( c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat ) ) =
% 99.08/14.75     ( hAPP @
% 99.08/14.75       ( hAPP @
% 99.08/14.75         ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75         ( c_COMBS @
% 99.08/14.75           ( hAPP @
% 99.08/14.75             ( hAPP @
% 99.08/14.75               ( c_COMBB @
% 99.08/14.75                 tc_Complex_Ocomplex @ 
% 99.08/14.75                 ( tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                 tc_nat ) @ 
% 99.08/14.75               ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75             ( hAPP @
% 99.08/14.75               ( c_COMBC @
% 99.08/14.75                 ( hAPP @
% 99.08/14.75                   ( hAPP @
% 99.08/14.75                     ( c_COMBB @
% 99.08/14.75                       ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                       ( tc_fun @
% 99.08/14.75                         ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                       tc_nat ) @ 
% 99.08/14.75                     ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75                   ( hAPP @
% 99.08/14.75                     ( hAPP @
% 99.08/14.75                       ( c_COMBB @
% 99.08/14.75                         tc_Complex_Ocomplex @ 
% 99.08/14.75                         ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @ tc_nat ) @ 
% 99.08/14.75                       ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75                     ( hAPP @
% 99.08/14.75                       ( hAPP @
% 99.08/14.75                         ( c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @ 
% 99.08/14.75                         ( hAPP @
% 99.08/14.75                           ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                           ( c_FFT__Mirabelle_Oroot @ v_n ) ) ) @ 
% 99.08/14.75                       ( hAPP @
% 99.08/14.75                         ( c_COMBC @
% 99.08/14.75                           ( c_HOL_Ominus__class_Ominus @ tc_nat ) @ tc_nat @ 
% 99.08/14.75                           tc_nat @ tc_nat ) @ 
% 99.08/14.75                         v_i ) ) ) ) @ 
% 99.08/14.75                 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75               ( c_SetInterval_Oord__class_OatLeastLessThan @
% 99.08/14.75                 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ v_n @ tc_nat ) ) ) @ 
% 99.08/14.75           v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75       ( c_Lattices_Oupper__semilattice__class_Osup @
% 99.08/14.75         ( c_Set_Oinsert @
% 99.08/14.75           v_i @ 
% 99.08/14.75           ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_nat @ tc_bool ) ) @ 
% 99.08/14.75           tc_nat ) @ 
% 99.08/14.75         ( c_SetInterval_Oord__class_OgreaterThanLessThan @ v_i @ v_n @ tc_nat ) @ 
% 99.08/14.75         ( tc_fun @ tc_nat @ tc_bool ) ) ))).
% 99.08/14.75  thf(zf_stmt_0, negated_conjecture,
% 99.08/14.75    (( hAPP @
% 99.08/14.75       ( hAPP @
% 99.08/14.75         ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75         ( c_COMBS @
% 99.08/14.75           ( hAPP @
% 99.08/14.75             ( hAPP @
% 99.08/14.75               ( c_COMBB @
% 99.08/14.75                 tc_Complex_Ocomplex @ 
% 99.08/14.75                 ( tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                 tc_nat ) @ 
% 99.08/14.75               ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75             ( hAPP @
% 99.08/14.75               ( c_COMBC @
% 99.08/14.75                 ( hAPP @
% 99.08/14.75                   ( hAPP @
% 99.08/14.75                     ( c_COMBB @
% 99.08/14.75                       ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                       ( tc_fun @
% 99.08/14.75                         ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                       tc_nat ) @ 
% 99.08/14.75                     ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75                   ( hAPP @
% 99.08/14.75                     ( hAPP @
% 99.08/14.75                       ( c_COMBB @
% 99.08/14.75                         tc_Complex_Ocomplex @ 
% 99.08/14.75                         ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @ tc_nat ) @ 
% 99.08/14.75                       ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75                     ( hAPP @
% 99.08/14.75                       ( hAPP @
% 99.08/14.75                         ( c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @ 
% 99.08/14.75                         ( hAPP @
% 99.08/14.75                           ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                           ( c_FFT__Mirabelle_Oroot @ v_n ) ) ) @ 
% 99.08/14.75                       ( hAPP @
% 99.08/14.75                         ( c_COMBC @
% 99.08/14.75                           ( c_HOL_Ominus__class_Ominus @ tc_nat ) @ tc_nat @ 
% 99.08/14.75                           tc_nat @ tc_nat ) @ 
% 99.08/14.75                         v_i ) ) ) ) @ 
% 99.08/14.75                 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75               ( c_SetInterval_Oord__class_OatLeastLessThan @
% 99.08/14.75                 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ v_n @ tc_nat ) ) ) @ 
% 99.08/14.75           v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75       ( c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat ) ) !=
% 99.08/14.75     ( hAPP @
% 99.08/14.75       ( hAPP @
% 99.08/14.75         ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75         ( c_COMBS @
% 99.08/14.75           ( hAPP @
% 99.08/14.75             ( hAPP @
% 99.08/14.75               ( c_COMBB @
% 99.08/14.75                 tc_Complex_Ocomplex @ 
% 99.08/14.75                 ( tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                 tc_nat ) @ 
% 99.08/14.75               ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75             ( hAPP @
% 99.08/14.75               ( c_COMBC @
% 99.08/14.75                 ( hAPP @
% 99.08/14.75                   ( hAPP @
% 99.08/14.75                     ( c_COMBB @
% 99.08/14.75                       ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                       ( tc_fun @
% 99.08/14.75                         ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                       tc_nat ) @ 
% 99.08/14.75                     ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75                   ( hAPP @
% 99.08/14.75                     ( hAPP @
% 99.08/14.75                       ( c_COMBB @
% 99.08/14.75                         tc_Complex_Ocomplex @ 
% 99.08/14.75                         ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @ tc_nat ) @ 
% 99.08/14.75                       ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75                     ( hAPP @
% 99.08/14.75                       ( hAPP @
% 99.08/14.75                         ( c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @ 
% 99.08/14.75                         ( hAPP @
% 99.08/14.75                           ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75                           ( c_FFT__Mirabelle_Oroot @ v_n ) ) ) @ 
% 99.08/14.75                       ( hAPP @
% 99.08/14.75                         ( c_COMBC @
% 99.08/14.75                           ( c_HOL_Ominus__class_Ominus @ tc_nat ) @ tc_nat @ 
% 99.08/14.75                           tc_nat @ tc_nat ) @ 
% 99.08/14.75                         v_i ) ) ) ) @ 
% 99.08/14.75                 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @ 
% 99.08/14.75               ( c_SetInterval_Oord__class_OatLeastLessThan @
% 99.08/14.75                 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ v_n @ tc_nat ) ) ) @ 
% 99.08/14.75           v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) ) @ 
% 99.08/14.75       ( c_Lattices_Oupper__semilattice__class_Osup @
% 99.08/14.75         ( c_Set_Oinsert @
% 99.08/14.75           v_i @ 
% 99.08/14.75           ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_nat @ tc_bool ) ) @ 
% 99.08/14.75           tc_nat ) @ 
% 99.08/14.75         ( c_SetInterval_Oord__class_OgreaterThanLessThan @ v_i @ v_n @ tc_nat ) @ 
% 99.08/14.75         ( tc_fun @ tc_nat @ tc_bool ) ) )),
% 99.08/14.75    inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 99.08/14.75  thf(zip_derived_cl1009, plain,
% 99.08/14.75      (((hAPP @ 
% 99.08/14.75         (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75          (c_COMBS @ 
% 99.08/14.75           (hAPP @ 
% 99.08/14.75            (hAPP @ 
% 99.08/14.75             (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75              (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75             (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75            (hAPP @ 
% 99.08/14.75             (c_COMBC @ 
% 99.08/14.75              (hAPP @ 
% 99.08/14.75               (hAPP @ 
% 99.08/14.75                (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                 (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                 tc_nat) @ 
% 99.08/14.75                (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75               (hAPP @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75                  (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75                 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (hAPP @ (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 99.08/14.75                  (hAPP @ 
% 99.08/14.75                   (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                   (c_FFT__Mirabelle_Oroot @ v_n))) @ 
% 99.08/14.75                 (hAPP @ 
% 99.08/14.75                  (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @ tc_nat @ 
% 99.08/14.75                   tc_nat @ tc_nat) @ 
% 99.08/14.75                  v_i)))) @ 
% 99.08/14.75              tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @ 
% 99.08/14.75             (c_SetInterval_Oord__class_OatLeastLessThan @ 
% 99.08/14.75              (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @ 
% 99.08/14.75           v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75         (c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat))
% 99.08/14.75         != (hAPP @ 
% 99.08/14.75             (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75              (c_COMBS @ 
% 99.08/14.75               (hAPP @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75                  (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75                 (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (c_COMBC @ 
% 99.08/14.75                  (hAPP @ 
% 99.08/14.75                   (hAPP @ 
% 99.08/14.75                    (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                     (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @ 
% 99.08/14.75                      tc_Complex_Ocomplex) @ 
% 99.08/14.75                     tc_nat) @ 
% 99.08/14.75                    (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                   (hAPP @ 
% 99.08/14.75                    (hAPP @ 
% 99.08/14.75                     (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75                      (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75                     (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                    (hAPP @ 
% 99.08/14.75                     (hAPP @ 
% 99.08/14.75                      (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 99.08/14.75                      (hAPP @ 
% 99.08/14.75                       (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                       (c_FFT__Mirabelle_Oroot @ v_n))) @ 
% 99.08/14.75                     (hAPP @ 
% 99.08/14.75                      (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @ 
% 99.08/14.75                       tc_nat @ tc_nat @ tc_nat) @ 
% 99.08/14.75                      v_i)))) @ 
% 99.08/14.75                  tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                 (c_SetInterval_Oord__class_OatLeastLessThan @ 
% 99.08/14.75                  (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @ 
% 99.08/14.75               v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75             (c_Lattices_Oupper__semilattice__class_Osup @ 
% 99.08/14.75              (c_Set_Oinsert @ v_i @ 
% 99.08/14.75               (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @ 
% 99.08/14.75               tc_nat) @ 
% 99.08/14.75              (c_SetInterval_Oord__class_OgreaterThanLessThan @ v_i @ v_n @ 
% 99.08/14.75               tc_nat) @ 
% 99.08/14.75              (tc_fun @ tc_nat @ tc_bool))))),
% 99.08/14.75      inference('cnf', [status(esa)], [zf_stmt_0])).
% 99.08/14.75  thf(zip_derived_cl887, plain,
% 99.08/14.75      (![X0 : $i]:
% 99.08/14.75         ((c_SetInterval_Oord__class_OatLeastLessThan @ X0 @ 
% 99.08/14.75           (hAPP @ c_Suc @ X0) @ tc_nat)
% 99.08/14.75           = (c_Set_Oinsert @ X0 @ 
% 99.08/14.75              (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @ 
% 99.08/14.75              tc_nat))),
% 99.08/14.75      inference('cnf', [status(esa)], [cls_atLeastLessThan__singleton_0])).
% 99.08/14.75  thf(zip_derived_cl847, plain,
% 99.08/14.75      (![X0 : $i, X1 : $i]:
% 99.08/14.75         ((c_SetInterval_Oord__class_OatLeastLessThan @ (hAPP @ c_Suc @ X0) @ 
% 99.08/14.75           X1 @ tc_nat)
% 99.08/14.75           = (c_SetInterval_Oord__class_OgreaterThanLessThan @ X0 @ X1 @ tc_nat))),
% 99.08/14.75      inference('cnf', [status(esa)],
% 99.08/14.75                [cls_atLeastSucLessThan__greaterThanLessThan_0])).
% 99.08/14.75  thf(zip_derived_cl42626, plain,
% 99.08/14.75      (((hAPP @ 
% 99.08/14.75         (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75          (c_COMBS @ 
% 99.08/14.75           (hAPP @ 
% 99.08/14.75            (hAPP @ 
% 99.08/14.75             (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75              (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75             (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75            (hAPP @ 
% 99.08/14.75             (c_COMBC @ 
% 99.08/14.75              (hAPP @ 
% 99.08/14.75               (hAPP @ 
% 99.08/14.75                (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                 (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                 tc_nat) @ 
% 99.08/14.75                (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75               (hAPP @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75                  (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75                 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (hAPP @ (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 99.08/14.75                  (hAPP @ 
% 99.08/14.75                   (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                   (c_FFT__Mirabelle_Oroot @ v_n))) @ 
% 99.08/14.75                 (hAPP @ 
% 99.08/14.75                  (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @ tc_nat @ 
% 99.08/14.75                   tc_nat @ tc_nat) @ 
% 99.08/14.75                  v_i)))) @ 
% 99.08/14.75              tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @ 
% 99.08/14.75             (c_SetInterval_Oord__class_OatLeastLessThan @ 
% 99.08/14.75              (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @ 
% 99.08/14.75           v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75         (c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat))
% 99.08/14.75         != (hAPP @ 
% 99.08/14.75             (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75              (c_COMBS @ 
% 99.08/14.75               (hAPP @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75                  (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75                 (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (c_COMBC @ 
% 99.08/14.75                  (hAPP @ 
% 99.08/14.75                   (hAPP @ 
% 99.08/14.75                    (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                     (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @ 
% 99.08/14.75                      tc_Complex_Ocomplex) @ 
% 99.08/14.75                     tc_nat) @ 
% 99.08/14.75                    (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                   (hAPP @ 
% 99.08/14.75                    (hAPP @ 
% 99.08/14.75                     (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75                      (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75                     (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                    (hAPP @ 
% 99.08/14.75                     (hAPP @ 
% 99.08/14.75                      (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 99.08/14.75                      (hAPP @ 
% 99.08/14.75                       (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                       (c_FFT__Mirabelle_Oroot @ v_n))) @ 
% 99.08/14.75                     (hAPP @ 
% 99.08/14.75                      (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @ 
% 99.08/14.75                       tc_nat @ tc_nat @ tc_nat) @ 
% 99.08/14.75                      v_i)))) @ 
% 99.08/14.75                  tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                 (c_SetInterval_Oord__class_OatLeastLessThan @ 
% 99.08/14.75                  (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @ 
% 99.08/14.75               v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75             (c_Lattices_Oupper__semilattice__class_Osup @ 
% 99.08/14.75              (c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ 
% 99.08/14.75               (hAPP @ c_Suc @ v_i) @ tc_nat) @ 
% 99.08/14.75              (c_SetInterval_Oord__class_OatLeastLessThan @ 
% 99.08/14.75               (hAPP @ c_Suc @ v_i) @ v_n @ tc_nat) @ 
% 99.08/14.75              (tc_fun @ tc_nat @ tc_bool))))),
% 99.08/14.75      inference('demod', [status(thm)],
% 99.08/14.75                [zip_derived_cl1009, zip_derived_cl887, zip_derived_cl847])).
% 99.08/14.75  thf(zip_derived_cl42631, plain,
% 99.08/14.75      ((((hAPP @ 
% 99.08/14.75          (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75           (c_COMBS @ 
% 99.08/14.75            (hAPP @ 
% 99.08/14.75             (hAPP @ 
% 99.08/14.75              (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75               (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75              (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75             (hAPP @ 
% 99.08/14.75              (c_COMBC @ 
% 99.08/14.75               (hAPP @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                  (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                  tc_nat) @ 
% 99.08/14.75                 (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (hAPP @ 
% 99.08/14.75                  (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75                   (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75                  (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                 (hAPP @ 
% 99.08/14.75                  (hAPP @ (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 99.08/14.75                   (hAPP @ 
% 99.08/14.75                    (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                    (c_FFT__Mirabelle_Oroot @ v_n))) @ 
% 99.08/14.75                  (hAPP @ 
% 99.08/14.75                   (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @ tc_nat @ 
% 99.08/14.75                    tc_nat @ tc_nat) @ 
% 99.08/14.75                   v_i)))) @ 
% 99.08/14.75               tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @ 
% 99.08/14.75              (c_SetInterval_Oord__class_OatLeastLessThan @ 
% 99.08/14.75               (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @ 
% 99.08/14.75            v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75          (c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat))
% 99.08/14.75          != (hAPP @ 
% 99.08/14.75              (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75               (c_COMBS @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (hAPP @ 
% 99.08/14.75                  (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75                   (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                   tc_nat) @ 
% 99.08/14.75                  (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                 (hAPP @ 
% 99.08/14.75                  (c_COMBC @ 
% 99.08/14.75                   (hAPP @ 
% 99.08/14.75                    (hAPP @ 
% 99.08/14.75                     (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                      (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @ 
% 99.08/14.75                       tc_Complex_Ocomplex) @ 
% 99.08/14.75                      tc_nat) @ 
% 99.08/14.75                     (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                    (hAPP @ 
% 99.08/14.75                     (hAPP @ 
% 99.08/14.75                      (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75                       (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75                      (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                     (hAPP @ 
% 99.08/14.75                      (hAPP @ 
% 99.08/14.75                       (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 99.08/14.75                       (hAPP @ 
% 99.08/14.75                        (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                        (c_FFT__Mirabelle_Oroot @ v_n))) @ 
% 99.08/14.75                      (hAPP @ 
% 99.08/14.75                       (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @ 
% 99.08/14.75                        tc_nat @ tc_nat @ tc_nat) @ 
% 99.08/14.75                       v_i)))) @ 
% 99.08/14.75                   tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                  (c_SetInterval_Oord__class_OatLeastLessThan @ 
% 99.08/14.75                   (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @ 
% 99.08/14.75                v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75              (c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat)))
% 99.08/14.75        | ~ (hBOOL @ (hAPP @ (c_HOL_Oord__class_Oless @ v_i @ tc_nat) @ v_n)))),
% 99.08/14.75      inference('sup-', [status(thm)],
% 99.08/14.75                [zip_derived_cl25524, zip_derived_cl42626])).
% 99.08/14.75  thf(cls_assms_0, axiom,
% 99.08/14.75    (hBOOL @ ( hAPP @ ( c_HOL_Oord__class_Oless @ v_i @ tc_nat ) @ v_n ))).
% 99.08/14.75  thf(zip_derived_cl843, plain,
% 99.08/14.75      ( (hBOOL @ (hAPP @ (c_HOL_Oord__class_Oless @ v_i @ tc_nat) @ v_n))),
% 99.08/14.75      inference('cnf', [status(esa)], [cls_assms_0])).
% 99.08/14.75  thf(zip_derived_cl42640, plain,
% 99.08/14.75      (((hAPP @ 
% 99.08/14.75         (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75          (c_COMBS @ 
% 99.08/14.75           (hAPP @ 
% 99.08/14.75            (hAPP @ 
% 99.08/14.75             (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75              (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75             (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75            (hAPP @ 
% 99.08/14.75             (c_COMBC @ 
% 99.08/14.75              (hAPP @ 
% 99.08/14.75               (hAPP @ 
% 99.08/14.75                (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                 (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                 tc_nat) @ 
% 99.08/14.75                (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75               (hAPP @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75                  (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75                 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (hAPP @ (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 99.08/14.75                  (hAPP @ 
% 99.08/14.75                   (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                   (c_FFT__Mirabelle_Oroot @ v_n))) @ 
% 99.08/14.75                 (hAPP @ 
% 99.08/14.75                  (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @ tc_nat @ 
% 99.08/14.75                   tc_nat @ tc_nat) @ 
% 99.08/14.75                  v_i)))) @ 
% 99.08/14.75              tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @ 
% 99.08/14.75             (c_SetInterval_Oord__class_OatLeastLessThan @ 
% 99.08/14.75              (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @ 
% 99.08/14.75           v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75         (c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat))
% 99.08/14.75         != (hAPP @ 
% 99.08/14.75             (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75              (c_COMBS @ 
% 99.08/14.75               (hAPP @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75                  (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75                 (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                (hAPP @ 
% 99.08/14.75                 (c_COMBC @ 
% 99.08/14.75                  (hAPP @ 
% 99.08/14.75                   (hAPP @ 
% 99.08/14.75                    (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                     (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @ 
% 99.08/14.75                      tc_Complex_Ocomplex) @ 
% 99.08/14.75                     tc_nat) @ 
% 99.08/14.75                    (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                   (hAPP @ 
% 99.08/14.75                    (hAPP @ 
% 99.08/14.75                     (c_COMBB @ tc_Complex_Ocomplex @ 
% 99.08/14.75                      (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @ 
% 99.08/14.75                     (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75                    (hAPP @ 
% 99.08/14.75                     (hAPP @ 
% 99.08/14.75                      (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @ 
% 99.08/14.75                      (hAPP @ 
% 99.08/14.75                       (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                       (c_FFT__Mirabelle_Oroot @ v_n))) @ 
% 99.08/14.75                     (hAPP @ 
% 99.08/14.75                      (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @ 
% 99.08/14.75                       tc_nat @ tc_nat @ tc_nat) @ 
% 99.08/14.75                      v_i)))) @ 
% 99.08/14.75                  tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @ 
% 99.08/14.75                 (c_SetInterval_Oord__class_OatLeastLessThan @ 
% 99.08/14.75                  (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @ 
% 99.08/14.75               v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @ 
% 99.08/14.75             (c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat)))),
% 99.08/14.75      inference('demod', [status(thm)],
% 99.08/14.75                [zip_derived_cl42631, zip_derived_cl843])).
% 99.08/14.75  thf(zip_derived_cl42641, plain, ($false),
% 99.08/14.75      inference('simplify', [status(thm)], [zip_derived_cl42640])).
% 99.08/14.75  
% 99.08/14.75  % SZS output end Refutation
% 99.08/14.75  
% 99.08/14.75  
% 99.08/14.75  % Terminating...
% 99.08/14.80  % Runner terminated.
% 99.08/14.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------