%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV712-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jg8jJbDKe4 true
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:01:51 PM UTC 2025
% Result : Unsatisfiable 17.60s 3.09s
% Output : Refutation 17.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SWV712-1 : TPTP v9.2.0. Released v4.1.0.
% 0.08/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jg8jJbDKe4 true
% 0.09/0.30 % Computer : n001.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 12:38:53 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.09/0.31 % Running in FO mode
% 0.44/0.56 % Total configuration time : 435
% 0.44/0.56 % Estimated wc time : 1092
% 0.44/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.65 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.65 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.66 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.66 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.66 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.66 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.66 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 17.60/3.09 % Solved by fo/fo4.sh.
% 17.60/3.09 % done 400 iterations in 2.407s
% 17.60/3.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 17.60/3.09 % SZS output start Refutation
% 17.60/3.09 thf(tc_nat_type, type, tc_nat: $i).
% 17.60/3.09 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 17.60/3.09 thf(c_Int_OBit1_type, type, c_Int_OBit1: $i > $i).
% 17.60/3.09 thf(c_Power_Opower__class_Opower_type, type, c_Power_Opower__class_Opower:
% 17.60/3.09 $i > $i).
% 17.60/3.09 thf(c_Suc_type, type, c_Suc: $i).
% 17.60/3.09 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i).
% 17.60/3.09 thf(c_COMBB_type, type, c_COMBB: $i > $i > $i > $i > $i > $i).
% 17.60/3.09 thf(v_ka_____type, type, v_ka____: $i).
% 17.60/3.09 thf(c_Int_OPls_type, type, c_Int_OPls: $i).
% 17.60/3.09 thf(v_a_____type, type, v_a____: $i).
% 17.60/3.09 thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes:
% 17.60/3.09 $i > $i).
% 17.60/3.09 thf(c_HOL_Oinverse__class_Odivide_type, type, c_HOL_Oinverse__class_Odivide:
% 17.60/3.09 $i > $i > $i > $i).
% 17.60/3.09 thf(c_FFT__Mirabelle_OIDFT_type, type, c_FFT__Mirabelle_OIDFT: $i > $i > $i > $i).
% 17.60/3.09 thf(c_Int_OBit0_type, type, c_Int_OBit0: $i > $i).
% 17.60/3.09 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 17.60/3.09 thf(c_FFT__Mirabelle_Oroot_type, type, c_FFT__Mirabelle_Oroot: $i > $i).
% 17.60/3.09 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 17.60/3.09 thf(c_FFT__Mirabelle_OIFFT_type, type, c_FFT__Mirabelle_OIFFT: $i > $i > $i).
% 17.60/3.09 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 17.60/3.09 thf(c_Int_Onumber__class_Onumber__of_type, type, c_Int_Onumber__class_Onumber__of:
% 17.60/3.09 $i > $i > $i).
% 17.60/3.09 thf(v_i_____type, type, v_i____: $i).
% 17.60/3.09 thf(cls_Suc_Ohyps_0, axiom,
% 17.60/3.09 (( ( c_FFT__Mirabelle_OIDFT @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.09 v_ka____ ) @
% 17.60/3.09 V_a @ V_i ) =
% 17.60/3.09 ( hAPP @ ( c_FFT__Mirabelle_OIFFT @ v_ka____ @ V_a ) @ V_i ) ) |
% 17.60/3.09 ( ~( c_HOL_Oord__class_Oless @
% 17.60/3.09 V_i @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.09 v_ka____ ) @
% 17.60/3.09 tc_nat ) ))).
% 17.60/3.09 thf(zip_derived_cl94, plain,
% 17.60/3.09 (![X0 : $i, X1 : $i]:
% 17.60/3.09 (((c_FFT__Mirabelle_OIDFT @
% 17.60/3.09 (hAPP @
% 17.60/3.09 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.09 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.09 v_ka____) @
% 17.60/3.09 X0 @ X1) = (hAPP @ (c_FFT__Mirabelle_OIFFT @ v_ka____ @ X0) @ X1))
% 17.60/3.09 | ~ (c_HOL_Oord__class_Oless @ X1 @
% 17.60/3.09 (hAPP @
% 17.60/3.09 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.09 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.09 v_ka____) @
% 17.60/3.09 tc_nat))),
% 17.60/3.09 inference('cnf', [status(esa)], [cls_Suc_Ohyps_0])).
% 17.60/3.09 thf(zip_derived_cl94, plain,
% 17.60/3.09 (![X0 : $i, X1 : $i]:
% 17.60/3.09 (((c_FFT__Mirabelle_OIDFT @
% 17.60/3.09 (hAPP @
% 17.60/3.09 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.09 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.09 v_ka____) @
% 17.60/3.09 X0 @ X1) = (hAPP @ (c_FFT__Mirabelle_OIFFT @ v_ka____ @ X0) @ X1))
% 17.60/3.09 | ~ (c_HOL_Oord__class_Oless @ X1 @
% 17.60/3.09 (hAPP @
% 17.60/3.09 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.09 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.09 v_ka____) @
% 17.60/3.09 tc_nat))),
% 17.60/3.09 inference('cnf', [status(esa)], [cls_Suc_Ohyps_0])).
% 17.60/3.09 thf(cls_conjecture_0, conjecture,
% 17.60/3.09 (( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex ) @
% 17.60/3.09 ( c_FFT__Mirabelle_OIDFT @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.09 v_ka____ ) @
% 17.60/3.09 ( c_COMBB @
% 17.60/3.09 v_a____ @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.09 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @
% 17.60/3.09 v_i____ ) ) @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @
% 17.60/3.09 ( c_HOL_Oinverse__class_Odivide @
% 17.60/3.09 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @
% 17.60/3.09 ( c_FFT__Mirabelle_Oroot @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 17.60/3.09 tc_nat ) ) @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 17.60/3.09 tc_nat ) ) @
% 17.60/3.09 v_ka____ ) ) ) @
% 17.60/3.09 tc_Complex_Ocomplex ) ) @
% 17.60/3.09 v_i____ ) ) @
% 17.60/3.09 ( c_FFT__Mirabelle_OIDFT @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.09 v_ka____ ) @
% 17.60/3.09 ( c_COMBB @
% 17.60/3.09 v_a____ @
% 17.60/3.09 ( c_COMBB @
% 17.60/3.09 c_Suc @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.09 tc_nat @ tc_nat @ tc_nat ) @
% 17.60/3.09 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @
% 17.60/3.09 v_i____ ) ) ) =
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex ) @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_FFT__Mirabelle_OIFFT @
% 17.60/3.09 v_ka____ @
% 17.60/3.09 ( c_COMBB @
% 17.60/3.09 v_a____ @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.09 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @
% 17.60/3.09 v_i____ ) ) @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @
% 17.60/3.09 ( c_HOL_Oinverse__class_Odivide @
% 17.60/3.09 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @
% 17.60/3.09 ( c_FFT__Mirabelle_Oroot @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 17.60/3.09 tc_nat ) ) @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 17.60/3.09 tc_nat ) ) @
% 17.60/3.09 v_ka____ ) ) ) @
% 17.60/3.09 tc_Complex_Ocomplex ) ) @
% 17.60/3.09 v_i____ ) ) @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_FFT__Mirabelle_OIFFT @
% 17.60/3.09 v_ka____ @
% 17.60/3.09 ( c_COMBB @
% 17.60/3.09 v_a____ @
% 17.60/3.09 ( c_COMBB @
% 17.60/3.09 c_Suc @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.09 tc_nat @ tc_nat @ tc_nat ) @
% 17.60/3.09 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @
% 17.60/3.09 v_i____ ) ) ))).
% 17.60/3.09 thf(zf_stmt_0, negated_conjecture,
% 17.60/3.09 (( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex ) @
% 17.60/3.09 ( c_FFT__Mirabelle_OIDFT @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.09 v_ka____ ) @
% 17.60/3.09 ( c_COMBB @
% 17.60/3.09 v_a____ @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.09 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @
% 17.60/3.09 v_i____ ) ) @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @
% 17.60/3.09 ( c_HOL_Oinverse__class_Odivide @
% 17.60/3.09 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @
% 17.60/3.09 ( c_FFT__Mirabelle_Oroot @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 17.60/3.09 tc_nat ) ) @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 17.60/3.09 tc_nat ) ) @
% 17.60/3.09 v_ka____ ) ) ) @
% 17.60/3.09 tc_Complex_Ocomplex ) ) @
% 17.60/3.09 v_i____ ) ) @
% 17.60/3.09 ( c_FFT__Mirabelle_OIDFT @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.09 v_ka____ ) @
% 17.60/3.09 ( c_COMBB @
% 17.60/3.09 v_a____ @
% 17.60/3.09 ( c_COMBB @
% 17.60/3.09 c_Suc @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.09 tc_nat @ tc_nat @ tc_nat ) @
% 17.60/3.09 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @
% 17.60/3.09 v_i____ ) ) ) !=
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex ) @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_FFT__Mirabelle_OIFFT @
% 17.60/3.09 v_ka____ @
% 17.60/3.09 ( c_COMBB @
% 17.60/3.09 v_a____ @
% 17.60/3.09 ( hAPP @
% 17.60/3.09 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 17.60/3.09 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.09 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.09 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @
% 17.60/3.09 v_i____ ) ) @
% 17.60/3.10 ( hAPP @
% 17.60/3.10 ( hAPP @
% 17.60/3.10 ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @
% 17.60/3.10 ( hAPP @
% 17.60/3.10 ( hAPP @
% 17.60/3.10 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @
% 17.60/3.10 ( c_HOL_Oinverse__class_Odivide @
% 17.60/3.10 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @
% 17.60/3.10 ( c_FFT__Mirabelle_Oroot @
% 17.60/3.10 ( hAPP @
% 17.60/3.10 ( hAPP @
% 17.60/3.10 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 17.60/3.10 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 17.60/3.10 tc_nat ) ) @
% 17.60/3.10 ( hAPP @
% 17.60/3.10 ( hAPP @
% 17.60/3.10 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 17.60/3.10 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 17.60/3.10 tc_nat ) ) @
% 17.60/3.10 v_ka____ ) ) ) @
% 17.60/3.10 tc_Complex_Ocomplex ) ) @
% 17.60/3.10 v_i____ ) ) @
% 17.60/3.10 ( hAPP @
% 17.60/3.10 ( c_FFT__Mirabelle_OIFFT @
% 17.60/3.10 v_ka____ @
% 17.60/3.10 ( c_COMBB @
% 17.60/3.10 v_a____ @
% 17.60/3.10 ( c_COMBB @
% 17.60/3.10 c_Suc @
% 17.60/3.10 ( hAPP @
% 17.60/3.10 ( c_HOL_Otimes__class_Otimes @ tc_nat ) @
% 17.60/3.10 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.10 tc_nat @ tc_nat @ tc_nat ) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat ) ) @
% 17.60/3.10 v_i____ ) ) )),
% 17.60/3.10 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 17.60/3.10 thf(zip_derived_cl160, plain,
% 17.60/3.10 (((hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_FFT__Mirabelle_OIDFT @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____) @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_HOL_Oinverse__class_Odivide @
% 17.60/3.10 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_FFT__Mirabelle_Oroot @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____))) @
% 17.60/3.10 tc_Complex_Ocomplex)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (c_FFT__Mirabelle_OIDFT @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____) @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (c_COMBB @ c_Suc @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_nat @ tc_nat) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 17.60/3.10 v_i____)))
% 17.60/3.10 != (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_HOL_Oinverse__class_Odivide @
% 17.60/3.10 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_FFT__Mirabelle_Oroot @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____))) @
% 17.60/3.10 tc_Complex_Ocomplex)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (c_COMBB @ c_Suc @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_nat @ tc_nat) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____))))),
% 17.60/3.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 17.60/3.10 thf(zip_derived_cl6970, plain,
% 17.60/3.10 ((((hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_HOL_Oinverse__class_Odivide @
% 17.60/3.10 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_FFT__Mirabelle_Oroot @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____))) @
% 17.60/3.10 tc_Complex_Ocomplex)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (c_FFT__Mirabelle_OIDFT @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____) @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (c_COMBB @ c_Suc @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_nat @ tc_nat) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 17.60/3.10 v_i____)))
% 17.60/3.10 != (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_HOL_Oinverse__class_Odivide @
% 17.60/3.10 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_FFT__Mirabelle_Oroot @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____))) @
% 17.60/3.10 tc_Complex_Ocomplex)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (c_COMBB @ c_Suc @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_nat @ tc_nat) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____))))
% 17.60/3.10 | ~ (c_HOL_Oord__class_Oless @ v_i____ @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____) @
% 17.60/3.10 tc_nat))),
% 17.60/3.10 inference('sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl160])).
% 17.60/3.10 thf(cls_True_0, axiom,
% 17.60/3.10 (c_HOL_Oord__class_Oless @
% 17.60/3.10 v_i____ @
% 17.60/3.10 ( hAPP @
% 17.60/3.10 ( hAPP @
% 17.60/3.10 ( c_Power_Opower__class_Opower @ tc_nat ) @
% 17.60/3.10 ( c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) ) @
% 17.60/3.10 v_ka____ ) @
% 17.60/3.10 tc_nat)).
% 17.60/3.10 thf(zip_derived_cl114, plain,
% 17.60/3.10 ( (c_HOL_Oord__class_Oless @ v_i____ @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____) @
% 17.60/3.10 tc_nat)),
% 17.60/3.10 inference('cnf', [status(esa)], [cls_True_0])).
% 17.60/3.10 thf(zip_derived_cl7081, plain,
% 17.60/3.10 (((hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_HOL_Oinverse__class_Odivide @
% 17.60/3.10 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_FFT__Mirabelle_Oroot @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____))) @
% 17.60/3.10 tc_Complex_Ocomplex)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (c_FFT__Mirabelle_OIDFT @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____) @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (c_COMBB @ c_Suc @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_nat @ tc_nat) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 17.60/3.10 v_i____)))
% 17.60/3.10 != (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_HOL_Oinverse__class_Odivide @
% 17.60/3.10 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_FFT__Mirabelle_Oroot @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____))) @
% 17.60/3.10 tc_Complex_Ocomplex)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (c_COMBB @ c_Suc @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_nat @ tc_nat) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____))))),
% 17.60/3.10 inference('demod', [status(thm)], [zip_derived_cl6970, zip_derived_cl114])).
% 17.60/3.10 thf(zip_derived_cl8047, plain,
% 17.60/3.10 ((((hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_HOL_Oinverse__class_Odivide @
% 17.60/3.10 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_FFT__Mirabelle_Oroot @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____))) @
% 17.60/3.10 tc_Complex_Ocomplex)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (c_COMBB @ c_Suc @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_nat @ tc_nat) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____)))
% 17.60/3.10 != (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_HOL_Oinverse__class_Odivide @
% 17.60/3.10 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_FFT__Mirabelle_Oroot @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____))) @
% 17.60/3.10 tc_Complex_Ocomplex)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (c_COMBB @ c_Suc @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_nat @ tc_nat) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____))))
% 17.60/3.10 | ~ (c_HOL_Oord__class_Oless @ v_i____ @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____) @
% 17.60/3.10 tc_nat))),
% 17.60/3.10 inference('sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl7081])).
% 17.60/3.10 thf(zip_derived_cl114, plain,
% 17.60/3.10 ( (c_HOL_Oord__class_Oless @ v_i____ @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____) @
% 17.60/3.10 tc_nat)),
% 17.60/3.10 inference('cnf', [status(esa)], [cls_True_0])).
% 17.60/3.10 thf(zip_derived_cl8391, plain,
% 17.60/3.10 (((hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_HOL_Oinverse__class_Odivide @
% 17.60/3.10 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_FFT__Mirabelle_Oroot @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____))) @
% 17.60/3.10 tc_Complex_Ocomplex)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (c_COMBB @ c_Suc @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_nat @ tc_nat) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____)))
% 17.60/3.10 != (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_HOL_Oinverse__class_Odivide @
% 17.60/3.10 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 17.60/3.10 (c_FFT__Mirabelle_Oroot @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (hAPP @ (c_Power_Opower__class_Opower @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 v_ka____))) @
% 17.60/3.10 tc_Complex_Ocomplex)) @
% 17.60/3.10 v_i____)) @
% 17.60/3.10 (hAPP @
% 17.60/3.10 (c_FFT__Mirabelle_OIFFT @ v_ka____ @
% 17.60/3.10 (c_COMBB @ v_a____ @
% 17.60/3.10 (c_COMBB @ c_Suc @
% 17.60/3.10 (hAPP @ (c_HOL_Otimes__class_Otimes @ tc_nat) @
% 17.60/3.10 (c_Int_Onumber__class_Onumber__of @
% 17.60/3.10 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 17.60/3.10 tc_nat @ tc_nat @ tc_nat) @
% 17.60/3.10 tc_nat @ tc_Complex_Ocomplex @ tc_nat)) @
% 17.60/3.10 v_i____))))),
% 17.60/3.10 inference('demod', [status(thm)], [zip_derived_cl8047, zip_derived_cl114])).
% 17.60/3.10 thf(zip_derived_cl8392, plain, ($false),
% 17.60/3.10 inference('simplify', [status(thm)], [zip_derived_cl8391])).
% 17.60/3.10
% 17.60/3.10 % SZS output end Refutation
% 17.60/3.10
% 17.60/3.10
% 17.60/3.10 % Terminating...
% 18.32/3.17 % Runner terminated.
% 18.32/3.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------