%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV716-1 : 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.1Z0S3cQoyH true
% Computer : n003.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 05:01:52 PM UTC 2025
% Result : Unsatisfiable 249.82s 36.27s
% Output : Refutation 249.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWV716-1 : TPTP v9.2.0. Released v4.1.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1Z0S3cQoyH true
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 12:32:38 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.46/0.57 % Total configuration time : 435
% 0.46/0.57 % Estimated wc time : 1092
% 0.46/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 249.82/36.27 % Solved by fo/fo6_bce.sh.
% 249.82/36.27 % BCE start: 1575
% 249.82/36.27 % BCE eliminated: 193
% 249.82/36.27 % PE start: 1382
% 249.82/36.27 logic: eq
% 249.82/36.27 % PE eliminated: -100
% 249.82/36.27 % done 5021 iterations in 35.572s
% 249.82/36.27 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 249.82/36.27 % SZS output start Refutation
% 249.82/36.27 thf(tc_nat_type, type, tc_nat: $i).
% 249.82/36.27 thf(v_i_____type, type, v_i____: $i).
% 249.82/36.27 thf(c_Suc_type, type, c_Suc: $i).
% 249.82/36.27 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 249.82/36.27 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 249.82/36.27 thf(c_Power_Opower__class_Opower_type, type, c_Power_Opower__class_Opower:
% 249.82/36.27 $i > $i).
% 249.82/36.27 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 249.82/36.27 thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes:
% 249.82/36.27 $i > $i).
% 249.82/36.27 thf(c_FFT__Mirabelle_Oroot_type, type, c_FFT__Mirabelle_Oroot: $i > $i).
% 249.82/36.27 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 249.82/36.27 thf(c_COMBB_type, type, c_COMBB: $i > $i > $i > $i > $i > $i).
% 249.82/36.27 thf(c_Int_OBit0_type, type, c_Int_OBit0: $i > $i).
% 249.82/36.27 thf(v_ka_____type, type, v_ka____: $i).
% 249.82/36.27 thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus:
% 249.82/36.27 $i > $i > $i > $i).
% 249.82/36.27 thf(c_Int_OBit1_type, type, c_Int_OBit1: $i > $i).
% 249.82/36.27 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 249.82/36.27 thf(v_a_____type, type, v_a____: $i).
% 249.82/36.27 thf(c_FFT__Mirabelle_OIDFT_type, type, c_FFT__Mirabelle_OIDFT: $i > $i > $i > $i).
% 249.82/36.27 thf(c_FFT__Mirabelle_OIFFT_type, type, c_FFT__Mirabelle_OIFFT: $i > $i > $i).
% 249.82/36.27 thf(c_HOL_Oinverse__class_Odivide_type, type, c_HOL_Oinverse__class_Odivide:
% 249.82/36.27 $i > $i > $i > $i).
% 249.82/36.27 thf(c_Int_Onumber__class_Onumber__of_type, type, c_Int_Onumber__class_Onumber__of:
% 249.82/36.27 $i > $i > $i).
% 249.82/36.27 thf(c_Int_OPls_type, type, c_Int_OPls: $i).
% 249.82/36.27 thf(cls_Suc_Ohyps_0, axiom,
% 249.82/36.27 (( ( c_FFT__Mirabelle_OIDFT @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 V_a @ V_i ) =
% 249.82/36.27 ( hAPP @ ( c_FFT__Mirabelle_OIFFT @ v_ka____ @ V_a ) @ V_i ) ) |
% 249.82/36.27 ( ~( c_HOL_Oord__class_Oless @
% 249.82/36.27 V_i @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) ))).
% 249.82/36.27 thf(zip_derived_cl1299, plain,
% 249.82/36.27 (![X0 : $i, X1 : $i]:
% 249.82/36.27 (((c_FFT__Mirabelle_OIDFT @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 X0 @ X1) = (hAPP @ (c_FFT__Mirabelle_OIFFT @ v_ka____ @ X0) @ X1))
% 249.82/36.27 | ~ (c_HOL_Oord__class_Oless @ X1 @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_Suc_Ohyps_0])).
% 249.82/36.27 thf(cls_comp__arith_I115_J_0, axiom,
% 249.82/36.27 (( hAPP @ c_Suc @ ( hAPP @ c_Suc @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) ) =
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ))).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl49031, plain,
% 249.82/36.27 (![X0 : $i, X1 : $i]:
% 249.82/36.27 (((c_FFT__Mirabelle_OIDFT @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 X0 @ X1) = (hAPP @ (c_FFT__Mirabelle_OIFFT @ v_ka____ @ X0) @ X1))
% 249.82/36.27 | ~ (c_HOL_Oord__class_Oless @ X1 @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))),
% 249.82/36.27 inference('demod', [status(thm)],
% 249.82/36.27 [zip_derived_cl1299, zip_derived_cl1258, zip_derived_cl1258])).
% 249.82/36.27 thf(zip_derived_cl49031, plain,
% 249.82/36.27 (![X0 : $i, X1 : $i]:
% 249.82/36.27 (((c_FFT__Mirabelle_OIDFT @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 X0 @ X1) = (hAPP @ (c_FFT__Mirabelle_OIFFT @ v_ka____ @ X0) @ X1))
% 249.82/36.27 | ~ (c_HOL_Oord__class_Oless @ X1 @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))),
% 249.82/36.27 inference('demod', [status(thm)],
% 249.82/36.27 [zip_derived_cl1299, zip_derived_cl1258, zip_derived_cl1258])).
% 249.82/36.27 thf(cls_conjecture_2, conjecture,
% 249.82/36.27 (( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 ( c_FFT__Mirabelle_OIDFT @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 ( c_COMBB @
% 249.82/36.27 v_a____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 v_i____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @
% 249.82/36.27 ( c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @
% 249.82/36.27 ( c_FFT__Mirabelle_Oroot @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 249.82/36.27 tc_nat ) ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 249.82/36.27 tc_nat ) ) @
% 249.82/36.27 v_ka____ ) ) ) @
% 249.82/36.27 tc_Complex_Ocomplex ) ) @
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 v_i____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) ) ) @
% 249.82/36.27 ( c_FFT__Mirabelle_OIDFT @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 ( c_COMBB @
% 249.82/36.27 v_a____ @
% 249.82/36.27 ( c_COMBB @
% 249.82/36.27 c_Suc @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat ) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 v_i____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) ) ) @
% 249.82/36.27 tc_Complex_Ocomplex ) =
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_FFT__Mirabelle_OIFFT @
% 249.82/36.27 v_ka____ @
% 249.82/36.27 ( c_COMBB @
% 249.82/36.27 v_a____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 v_i____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @
% 249.82/36.27 ( c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @
% 249.82/36.27 ( c_FFT__Mirabelle_Oroot @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 249.82/36.27 tc_nat ) ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 249.82/36.27 tc_nat ) ) @
% 249.82/36.27 v_ka____ ) ) ) @
% 249.82/36.27 tc_Complex_Ocomplex ) ) @
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 v_i____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) ) ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_FFT__Mirabelle_OIFFT @
% 249.82/36.27 v_ka____ @
% 249.82/36.27 ( c_COMBB @
% 249.82/36.27 v_a____ @
% 249.82/36.27 ( c_COMBB @
% 249.82/36.27 c_Suc @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat ) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 v_i____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) ) ) @
% 249.82/36.27 tc_Complex_Ocomplex ))).
% 249.82/36.27 thf(zf_stmt_0, negated_conjecture,
% 249.82/36.27 (( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 ( c_FFT__Mirabelle_OIDFT @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 ( c_COMBB @
% 249.82/36.27 v_a____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 v_i____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @
% 249.82/36.27 ( c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @
% 249.82/36.27 ( c_FFT__Mirabelle_Oroot @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 249.82/36.27 tc_nat ) ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 249.82/36.27 tc_nat ) ) @
% 249.82/36.27 v_ka____ ) ) ) @
% 249.82/36.27 tc_Complex_Ocomplex ) ) @
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 v_i____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) ) ) @
% 249.82/36.27 ( c_FFT__Mirabelle_OIDFT @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 ( c_COMBB @
% 249.82/36.27 v_a____ @
% 249.82/36.27 ( c_COMBB @
% 249.82/36.27 c_Suc @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat ) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 v_i____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) ) ) @
% 249.82/36.27 tc_Complex_Ocomplex ) !=
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_FFT__Mirabelle_OIFFT @
% 249.82/36.27 v_ka____ @
% 249.82/36.27 ( c_COMBB @
% 249.82/36.27 v_a____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 v_i____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @
% 249.82/36.27 ( c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @
% 249.82/36.27 ( c_FFT__Mirabelle_Oroot @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 249.82/36.27 tc_nat ) ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 249.82/36.27 tc_nat ) ) @
% 249.82/36.27 v_ka____ ) ) ) @
% 249.82/36.27 tc_Complex_Ocomplex ) ) @
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 v_i____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) ) ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_FFT__Mirabelle_OIFFT @
% 249.82/36.27 v_ka____ @
% 249.82/36.27 ( c_COMBB @
% 249.82/36.27 v_a____ @
% 249.82/36.27 ( c_COMBB @
% 249.82/36.27 c_Suc @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat ) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 v_i____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) ) ) @
% 249.82/36.27 tc_Complex_Ocomplex )),
% 249.82/36.27 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 249.82/36.27 thf(zip_derived_cl1444, plain,
% 249.82/36.27 (((c_HOL_Ominus__class_Ominus @
% 249.82/36.27 (c_FFT__Mirabelle_OIDFT @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_FFT__Mirabelle_Oroot @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 v_ka____))) @
% 249.82/36.27 tc_Complex_Ocomplex)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 (c_FFT__Mirabelle_OIDFT @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (c_COMBB @ c_Suc @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 tc_Complex_Ocomplex)
% 249.82/36.27 != (c_HOL_Ominus__class_Ominus @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_FFT__Mirabelle_Oroot @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 v_ka____))) @
% 249.82/36.27 tc_Complex_Ocomplex)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (c_COMBB @ c_Suc @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 tc_Complex_Ocomplex))),
% 249.82/36.27 inference('cnf', [status(esa)], [zf_stmt_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl58362, plain,
% 249.82/36.27 (((c_HOL_Ominus__class_Ominus @
% 249.82/36.27 (c_FFT__Mirabelle_OIDFT @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_FFT__Mirabelle_Oroot @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____))) @
% 249.82/36.27 tc_Complex_Ocomplex)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 (c_FFT__Mirabelle_OIDFT @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (c_COMBB @ c_Suc @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 tc_Complex_Ocomplex)
% 249.82/36.27 != (c_HOL_Ominus__class_Ominus @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_FFT__Mirabelle_Oroot @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____))) @
% 249.82/36.27 tc_Complex_Ocomplex)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (c_COMBB @ c_Suc @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 tc_Complex_Ocomplex))),
% 249.82/36.27 inference('demod', [status(thm)],
% 249.82/36.27 [zip_derived_cl1444, zip_derived_cl1258, zip_derived_cl1258,
% 249.82/36.27 zip_derived_cl1258, zip_derived_cl1258, zip_derived_cl1258,
% 249.82/36.27 zip_derived_cl1258, zip_derived_cl1258, zip_derived_cl1258,
% 249.82/36.27 zip_derived_cl1258, zip_derived_cl1258, zip_derived_cl1258,
% 249.82/36.27 zip_derived_cl1258, zip_derived_cl1258, zip_derived_cl1258,
% 249.82/36.27 zip_derived_cl1258, zip_derived_cl1258])).
% 249.82/36.27 thf(zip_derived_cl58363, plain,
% 249.82/36.27 ((~ (c_HOL_Oord__class_Oless @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)
% 249.82/36.27 | ((c_HOL_Ominus__class_Ominus @
% 249.82/36.27 (c_FFT__Mirabelle_OIDFT @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_FFT__Mirabelle_Oroot @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____))) @
% 249.82/36.27 tc_Complex_Ocomplex)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (c_COMBB @ c_Suc @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 tc_Complex_Ocomplex)
% 249.82/36.27 != (c_HOL_Ominus__class_Ominus @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_FFT__Mirabelle_Oroot @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____))) @
% 249.82/36.27 tc_Complex_Ocomplex)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (c_COMBB @ c_Suc @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 tc_Complex_Ocomplex)))),
% 249.82/36.27 inference('s_sup-', [status(thm)],
% 249.82/36.27 [zip_derived_cl49031, zip_derived_cl58362])).
% 249.82/36.27 thf(cls_conjecture_1, conjecture,
% 249.82/36.27 (~( c_HOL_Oord__class_Oless @
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 v_i____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ))).
% 249.82/36.27 thf(zf_stmt_1, negated_conjecture,
% 249.82/36.27 (c_HOL_Oord__class_Oless @
% 249.82/36.27 ( c_HOL_Ominus__class_Ominus @
% 249.82/36.27 v_i____ @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat ) @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( hAPP @
% 249.82/36.27 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 249.82/36.27 ( c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 249.82/36.27 v_ka____ ) @
% 249.82/36.27 tc_nat),
% 249.82/36.27 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 249.82/36.27 thf(zip_derived_cl1443, plain,
% 249.82/36.27 ( (c_HOL_Oord__class_Oless @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)),
% 249.82/36.27 inference('cnf', [status(esa)], [zf_stmt_1])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl1258, plain,
% 249.82/36.27 (((hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))
% 249.82/36.27 = (c_Int_Onumber__class_Onumber__of @
% 249.82/36.27 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))),
% 249.82/36.27 inference('cnf', [status(esa)], [cls_comp__arith_I115_J_0])).
% 249.82/36.27 thf(zip_derived_cl9491, plain,
% 249.82/36.27 ( (c_HOL_Oord__class_Oless @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)),
% 249.82/36.27 inference('demod', [status(thm)],
% 249.82/36.27 [zip_derived_cl1443, zip_derived_cl1258, zip_derived_cl1258])).
% 249.82/36.27 thf(zip_derived_cl58373, plain,
% 249.82/36.27 (((c_HOL_Ominus__class_Ominus @
% 249.82/36.27 (c_FFT__Mirabelle_OIDFT @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_FFT__Mirabelle_Oroot @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____))) @
% 249.82/36.27 tc_Complex_Ocomplex)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (c_COMBB @ c_Suc @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 tc_Complex_Ocomplex)
% 249.82/36.27 != (c_HOL_Ominus__class_Ominus @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_FFT__Mirabelle_Oroot @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____))) @
% 249.82/36.27 tc_Complex_Ocomplex)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (c_COMBB @ c_Suc @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 tc_Complex_Ocomplex))),
% 249.82/36.27 inference('demod', [status(thm)],
% 249.82/36.27 [zip_derived_cl58363, zip_derived_cl9491])).
% 249.82/36.27 thf(zip_derived_cl118363, plain,
% 249.82/36.27 ((~ (c_HOL_Oord__class_Oless @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)
% 249.82/36.27 | ((c_HOL_Ominus__class_Ominus @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_FFT__Mirabelle_Oroot @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____))) @
% 249.82/36.27 tc_Complex_Ocomplex)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (c_COMBB @ c_Suc @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 tc_Complex_Ocomplex)
% 249.82/36.27 != (c_HOL_Ominus__class_Ominus @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_FFT__Mirabelle_Oroot @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____))) @
% 249.82/36.27 tc_Complex_Ocomplex)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (c_COMBB @ c_Suc @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 tc_Complex_Ocomplex)))),
% 249.82/36.27 inference('s_sup-', [status(thm)],
% 249.82/36.27 [zip_derived_cl49031, zip_derived_cl58373])).
% 249.82/36.27 thf(zip_derived_cl9491, plain,
% 249.82/36.27 ( (c_HOL_Oord__class_Oless @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @ (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)),
% 249.82/36.27 inference('demod', [status(thm)],
% 249.82/36.27 [zip_derived_cl1443, zip_derived_cl1258, zip_derived_cl1258])).
% 249.82/36.27 thf(zip_derived_cl118373, plain,
% 249.82/36.27 (((c_HOL_Ominus__class_Ominus @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_FFT__Mirabelle_Oroot @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____))) @
% 249.82/36.27 tc_Complex_Ocomplex)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (c_COMBB @ c_Suc @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 tc_Complex_Ocomplex)
% 249.82/36.27 != (c_HOL_Ominus__class_Ominus @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat)) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_HOL_Oinverse__class_Odivide @
% 249.82/36.27 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 249.82/36.27 (c_FFT__Mirabelle_Oroot @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____))) @
% 249.82/36.27 tc_Complex_Ocomplex)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 249.82/36.27 (c_COMBB @ v_a____ @
% 249.82/36.27 (c_COMBB @ c_Suc @
% 249.82/36.27 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 tc_nat @ tc_nat @ tc_nat) @
% 249.82/36.27 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 249.82/36.27 (c_HOL_Ominus__class_Ominus @ v_i____ @
% 249.82/36.27 (hAPP @
% 249.82/36.27 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 249.82/36.27 (hAPP @ c_Suc @
% 249.82/36.27 (hAPP @ c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))) @
% 249.82/36.27 v_ka____) @
% 249.82/36.27 tc_nat))) @
% 249.82/36.27 tc_Complex_Ocomplex))),
% 249.82/36.27 inference('demod', [status(thm)],
% 249.82/36.27 [zip_derived_cl118363, zip_derived_cl9491])).
% 249.82/36.27 thf(zip_derived_cl118374, plain, ($false),
% 249.82/36.27 inference('simplify', [status(thm)], [zip_derived_cl118373])).
% 249.82/36.27
% 249.82/36.27 % SZS output end Refutation
% 249.82/36.27
% 249.82/36.27
% 249.82/36.27 % Terminating...
% 250.27/36.37 % Runner terminated.
% 250.27/36.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------