%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV706-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n004.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 : Wed May 29 18:15:55 EDT 2024

% Result   : Unsatisfiable 1.64s 1.83s
% Output   : Proof 1.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.31/0.32  % Problem    : SWV706-1 : TPTP v8.2.0. Released v4.1.0.
% 0.31/0.32  % Command    : do_cvc5 %s %d
% 0.33/0.53  % Computer : n004.cluster.edu
% 0.33/0.53  % Model    : x86_64 x86_64
% 0.33/0.53  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.33/0.53  % Memory   : 8042.1875MB
% 0.33/0.53  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.33/0.53  % CPULimit   : 300
% 0.33/0.53  % WCLimit    : 300
% 0.33/0.53  % DateTime   : Sun May 26 21:43:24 EDT 2024
% 0.33/0.53  % CPUTime    : 
% 0.71/1.10  %----Proving TF0_NAR, FOF, or CNF
% 0.71/1.10  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.64/1.83  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.iG46UlFzi3/cvc5---1.0.5_5586.smt2
% 1.64/1.83  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.iG46UlFzi3/cvc5---1.0.5_5586.smt2
% 1.67/1.91  (assume a0 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__mono1 T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a1 (forall ((V_b $$unsorted) (V_q $$unsorted) (V_c $$unsorted) (V_r $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_b) (tptp.c_Divides_Odiv__class_Omod V_q V_c tptp.tc_nat))) V_r) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_b) V_c) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_r V_b tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_c tptp.tc_nat)))))
% 1.67/1.91  (assume a2 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_a T_a)))))
% 1.67/1.91  (assume a3 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a4 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_h $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a) V_h T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a)) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_h T_a))) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a)) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a5 (forall ((V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) (tptp.hAPP V_abs V_a)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))))
% 1.67/1.91  (assume a6 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod V_a (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_b) V_c) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_b) (tptp.c_Divides_Odiv__class_Omod (tptp.c_Divides_Odiv__class_Odiv V_a V_b tptp.tc_nat) V_c tptp.tc_nat))) (tptp.c_Divides_Odiv__class_Omod V_a V_b tptp.tc_nat)))))
% 1.67/1.91  (assume a7 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a8 (forall ((V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_uminus $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_minus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_sgn $$unsorted)) (or (= (tptp.hAPP V_abs (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) (tptp.hAPP V_uminus V_a)) V_n)) (tptp.hAPP V_abs (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) V_n))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a9 (forall ((V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_sgn $$unsorted)) (or (= (tptp.hAPP V_abs (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) (tptp.hAPP V_abs V_a)) V_n)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a10 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) V_b)) V_b))))
% 1.67/1.91  (assume a11 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) V_n)) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) V_n))))))
% 1.67/1.91  (assume a12 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_b T_a)))))
% 1.67/1.91  (assume a13 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a14 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a15 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a16 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a17 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 1.67/1.91  (assume a18 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 1.67/1.91  (assume a19 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a20 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) V_m)) V_n)) (not (tptp.c_OrderedGroup_Omonoid__mult V_one V_times T_a)))))
% 1.67/1.91  (assume a21 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_b) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a22 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n) tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a23 (forall ((V_x $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod V_x (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)))))
% 1.67/1.91  (assume a24 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_Divides_Odiv__class_Omod V_x (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat))))
% 1.67/1.91  (assume a25 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_n) (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a26 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_n) (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a27 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.67/1.91  (assume a28 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.67/1.91  (assume a29 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.67/1.91  (assume a30 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a)))))
% 1.67/1.91  (assume a31 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a32 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Power_Opower T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a33 (forall ((V_p $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_p) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat))))
% 1.67/1.91  (assume a34 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a35 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a36 (forall ((V_n $$unsorted)) (= (tptp.c_Fact_Ofact__class_Ofact (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat))) (tptp.c_Fact_Ofact__class_Ofact V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a37 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a)))))
% 1.67/1.91  (assume a38 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.67/1.91  (assume a39 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a40 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)))))
% 1.67/1.91  (assume a41 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Oone__class_Oone T_a)) T_a))))
% 1.67/1.91  (assume a42 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a43 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 1.67/1.91  (assume a44 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_a) V_b) V_c tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_a) (tptp.c_Divides_Odiv__class_Odiv V_b V_c tptp.tc_nat))) (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_a) (tptp.c_Divides_Odiv__class_Omod V_b V_c tptp.tc_nat)) V_c tptp.tc_nat)))))
% 1.67/1.91  (assume a45 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) (tptp.c_HOL_Oabs__class_Oabs V_b T_a))) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a46 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) (tptp.c_HOL_Oabs__class_Oabs V_b T_a))) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a47 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) (tptp.c_HOL_Oabs__class_Oabs V_b T_a))) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a48 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) (tptp.c_HOL_Oabs__class_Oabs V_b T_a))) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a49 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_one) V_n) V_one) (not (tptp.c_OrderedGroup_Omonoid__mult V_one V_times T_a)))))
% 1.67/1.91  (assume a50 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c) T_a) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a51 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c) T_a)))))
% 1.67/1.91  (assume a52 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_b) T_a) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a53 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_b) T_a)))))
% 1.67/1.91  (assume a54 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c) T_a) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a55 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_b) T_a) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a56 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_j) V_k) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a57 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a58 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_n) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a59 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) V_n) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs V_x T_a) (tptp.c_HOL_Oabs__class_Oabs V_y T_a) T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a60 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a61 (= (tptp.c_Fact_Ofact__class_Ofact (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))
% 1.67/1.91  (assume a62 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.67/1.91  (assume a63 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a64 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_y V_x tptp.tc_Int_Oint) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_Int_Oint))))
% 1.67/1.91  (assume a65 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.67/1.91  (assume a66 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.67/1.91  (assume a67 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))) (= V_x V_y))))
% 1.67/1.91  (assume a68 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a))) (= V_a V_b))))
% 1.67/1.91  (assume a69 (forall ((V_n $$unsorted)) (or (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_lessequals V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a70 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_c T_a)))))
% 1.67/1.91  (assume a71 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_c T_a) V_a))))
% 1.67/1.91  (assume a72 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs T_a)) (tptp.c_lessequals V_a (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) (tptp.c_HOL_Oabs__class_Oabs V_b T_a)) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) V_c T_a)))))
% 1.67/1.91  (assume a73 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= V_a (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_c T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a74 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_c T_a) V_a) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a75 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a76 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a77 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a78 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)))))
% 1.67/1.91  (assume a79 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a80 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a81 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a82 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_j) V_k tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat))) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a83 (forall ((V_j $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_j) V_i) V_k tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat)) V_i)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a84 (= (tptp.c_Fact_Ofact__class_Ofact (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a85 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a))) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.67/1.91  (assume a86 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) V_b T_a) V_a) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a87 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_a) V_b T_a) V_a) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a88 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a89 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a90 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oabs__class_Oabs V_x T_a) V_y T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 1.67/1.91  (assume a91 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)))))
% 1.67/1.91  (assume a92 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)))))
% 1.67/1.91  (assume a93 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__mono T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a94 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__mono T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a95 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b V_a T_a)))))
% 1.67/1.91  (assume a96 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b V_a T_a)))))
% 1.67/1.91  (assume a97 (forall ((V_x $$unsorted) (V_r $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_r) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_r) V_d)))) (= V_c V_d) (= V_r (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a98 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_r $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_r) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_r) V_d)))) (= V_c V_d) (= V_r (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a99 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_y)) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a100 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_y)) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a101 (forall ((V_n $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Fact_Ofact__class_Ofact V_n tptp.tc_nat) tptp.tc_nat)))
% 1.67/1.91  (assume a102 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Oone__class_Oone T_a))) (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_b))))
% 1.67/1.91  (assume a103 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a104 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a105 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a106 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n)) (tptp.hAPP (tptp.hAPP V_times (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) V_n))) (not (tptp.c_OrderedGroup_Omonoid__mult V_one V_times T_a)))))
% 1.67/1.91  (assume a107 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.67/1.91  (assume a108 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.67/1.91  (assume a109 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.67/1.91  (assume a110 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.67/1.91  (assume a111 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.67/1.91  (assume a112 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a113 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a)) V_x) (tptp.c_HOL_Oone__class_Oone T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)))))
% 1.67/1.91  (assume a114 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a115 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) V_n) T_a) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.67/1.91  (assume a116 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a))) (= V_a V_b))))
% 1.67/1.91  (assume a117 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a))) (= V_a V_b) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a118 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a119 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a120 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a)) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) V_c T_a)))))
% 1.67/1.91  (assume a121 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a)) V_b) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) V_c T_a)))))
% 1.67/1.91  (assume a122 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a123 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_n (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_m (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 1.67/1.91  (assume a124 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= V_a (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a)) V_b)) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a))))))
% 1.67/1.91  (assume a125 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a)) V_b)) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)) V_a))))
% 1.67/1.91  (assume a126 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a))) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)) V_a))))
% 1.67/1.91  (assume a127 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a128 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) T_a) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a129 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a)))))
% 1.67/1.91  (assume a130 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a131 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a132 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a133 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_a) T_a))))
% 1.67/1.91  (assume a134 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a135 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a136 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a137 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Oone__class_Oone T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a V_b))))
% 1.67/1.91  (assume a138 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oone__class_Oone T_a) T_a)) V_x)))))
% 1.67/1.91  (assume a139 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) T_a))))
% 1.67/1.91  (assume a140 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_n) T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a141 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_w T_a) T_a) (not (tptp.c_lessequals V_w V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_w T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.67/1.91  (assume a142 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a143 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a144 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) T_a)))))
% 1.67/1.91  (assume a145 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a146 (forall ((V_j $$unsorted) (V_k $$unsorted) (V_P $$unsorted) (V_i $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_j V_k tptp.tc_nat)) (= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_i)) V_j) V_k tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP V_P V_j)))))
% 1.67/1.91  (assume a147 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 1.67/1.91  (assume a148 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a)))))
% 1.67/1.91  (assume a149 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.67/1.91  (assume a150 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals V_x V_y tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_y) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a)))))
% 1.67/1.91  (assume a151 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_y) T_a) (not (tptp.c_lessequals V_x V_y tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a)))))
% 1.67/1.91  (assume a152 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.67/1.91  (assume a153 (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))
% 1.67/1.91  (assume a154 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a)))))
% 1.67/1.91  (assume a155 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a)))))
% 1.67/1.91  (assume a156 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a)))))
% 1.67/1.91  (assume a157 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a)))))
% 1.67/1.91  (assume a158 (forall ((V_pwr $$unsorted) (V_x $$unsorted) (V_r1 $$unsorted) (V_add $$unsorted) (V_mul $$unsorted) (V_r0 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_pwr V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_r1) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a159 (forall ((V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Odiv V_m (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) V_m)))
% 1.67/1.91  (assume a160 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a161 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.hAPP tptp.c_Suc V_n)) (tptp.hAPP (tptp.hAPP V_times (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) V_n)) V_a)) (not (tptp.c_OrderedGroup_Omonoid__mult V_one V_times T_a)))))
% 1.67/1.91  (assume a162 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a163 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_a) V_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a)) (tptp.c_HOL_Oone__class_Oone T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a164 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) V_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a)) (tptp.c_HOL_Oone__class_Oone T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a165 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a)) (tptp.c_HOL_Ominus__class_Ominus V_n V_m tptp.tc_nat)) (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a166 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oone__class_Oone T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a167 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (tptp.c_HOL_Oone__class_Oone T_a)) T_a))))
% 1.67/1.91  (assume a168 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a)) V_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a169 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a)) V_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a170 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a)) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a171 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_d) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a172 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_d) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a173 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a174 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a) (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a175 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n) tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat)) (= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a176 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_a) V_b) V_c tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv V_a V_c tptp.tc_nat)) (tptp.c_Divides_Odiv__class_Odiv V_b V_c tptp.tc_nat))) (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod V_a V_c tptp.tc_nat)) (tptp.c_Divides_Odiv__class_Omod V_b V_c tptp.tc_nat)) V_c tptp.tc_nat)))))
% 1.67/1.91  (assume a177 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 1.67/1.91  (assume a178 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a179 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.67/1.91  (assume a180 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a181 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) V_y) tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven V_y tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat))))
% 1.67/1.91  (assume a182 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) V_y) tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_y tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)))))
% 1.67/1.91  (assume a183 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)) (tptp.c_Parity_Oeven__odd__class_Oeven V_y tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) V_y) tptp.tc_nat)))))
% 1.67/1.91  (assume a184 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven__odd__class_Oeven V_y tptp.tc_nat)) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) V_y) tptp.tc_nat)))))
% 1.67/1.91  (assume a185 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a186 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven V_m tptp.tc_nat))))
% 1.67/1.91  (assume a187 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven V_m tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a188 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_m tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a189 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a190 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)) (tptp.c_Parity_Oeven__odd__class_Oeven V_m tptp.tc_nat))))
% 1.67/1.91  (assume a191 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven V_m tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat))))
% 1.67/1.91  (assume a192 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_m tptp.tc_nat)) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat))))
% 1.67/1.91  (assume a193 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (= (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 1.67/1.91  (assume a194 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_b T_a)))))
% 1.67/1.91  (assume a195 (forall ((V_less $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_y) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) V_y)) (= V_x V_y) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a196 (forall ((V_times $$unsorted) (V_abs $$unsorted) (V_a $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_one $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_times (tptp.hAPP V_abs V_a)) (tptp.hAPP V_abs V_a)) (tptp.hAPP (tptp.hAPP V_times V_a) V_a)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a197 (forall ((V_times $$unsorted) (V_sgn $$unsorted) (V_x $$unsorted) (V_abs $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_one $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_times (tptp.hAPP V_sgn V_x)) (tptp.hAPP V_abs V_x)) V_x) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a198 (forall ((V_sgn $$unsorted) (V_times $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP V_sgn (tptp.hAPP (tptp.hAPP V_times V_a) V_b)) (tptp.hAPP (tptp.hAPP V_times (tptp.hAPP V_sgn V_a)) (tptp.hAPP V_sgn V_b))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a199 (forall ((V_abs $$unsorted) (V_times $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_one $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP V_abs (tptp.hAPP (tptp.hAPP V_times V_a) V_b)) (tptp.hAPP (tptp.hAPP V_times (tptp.hAPP V_abs V_a)) (tptp.hAPP V_abs V_b))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a200 (forall ((V_sgn $$unsorted) (V_a $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP V_sgn (tptp.hAPP V_sgn V_a)) (tptp.hAPP V_sgn V_a)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a201 (forall ((V_minus $$unsorted) (V_uminus $$unsorted) (V_x $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_x V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)) (= (tptp.hAPP V_sgn V_x) V_x))))
% 1.67/1.91  (assume a202 (forall ((V_minus $$unsorted) (V_uminus $$unsorted) (V_sgn $$unsorted) (V_a $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus (tptp.hAPP V_sgn V_a) V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)) (= V_a (tptp.hAPP V_sgn V_a)))))
% 1.67/1.91  (assume a203 (forall ((V_abs $$unsorted) (V_k $$unsorted) (V_times $$unsorted) (V_sgn $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_one $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP V_abs V_k) (tptp.hAPP (tptp.hAPP V_times V_k) (tptp.hAPP V_sgn V_k))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a204 (forall ((V_less $$unsorted) (V_x $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_abs $$unsorted) (V_n $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_sgn $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) (tptp.hAPP V_abs V_x)) V_n)))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_x V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a205 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a206 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a207 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a208 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a209 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a210 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a211 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a212 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y) (tptp.c_HOL_Ozero__class_Ozero T_a))) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a213 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y) (tptp.c_HOL_Ozero__class_Ozero T_a))) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a214 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a215 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a216 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a217 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a218 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a219 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.67/1.91  (assume a220 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a221 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oabs__if T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a222 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a223 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a224 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals V_z (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_z) V_y) V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 1.67/1.91  (assume a225 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) V_z T_a) (not (tptp.c_lessequals V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_z) V_y) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 1.67/1.91  (assume a226 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)))))
% 1.67/1.91  (assume a227 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.67/1.91  (assume a228 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)))))
% 1.67/1.91  (assume a229 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 1.67/1.91  (assume a230 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a231 (forall ((V_x $$unsorted) (V_a $$unsorted)) (or (not (= V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) V_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a232 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) V_m)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a233 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat))))
% 1.67/1.91  (assume a234 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) T_a)))))
% 1.67/1.91  (assume a235 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a236 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a237 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_y)) T_a))))
% 1.67/1.91  (assume a238 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)))))
% 1.67/1.91  (assume a239 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a)))))
% 1.67/1.91  (assume a240 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a241 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a242 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) T_a) (not (tptp.c_lessequals V_b V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.67/1.91  (assume a243 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) T_a) (not (tptp.c_lessequals V_b V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a244 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.67/1.91  (assume a245 (forall ((V_v $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat)) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_v tptp.c_Int_OPls tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a246 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_k) V_j tptp.tc_nat) (not (tptp.c_lessequals V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a247 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_k) V_j tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a248 (forall ((V_x $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (tptp.c_Divides_Odiv__class_Odiv V_x (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) tptp.tc_nat)) V_x) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)))))
% 1.67/1.91  (assume a249 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 1.67/1.91  (assume a250 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a251 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) (tptp.c_HOL_Oabs__class_Oabs V_b T_a)) T_a))))
% 1.67/1.91  (assume a252 (forall ((V_n $$unsorted)) (= (tptp.c_Fact_Ofact__class_Ofact (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n) tptp.tc_nat) (tptp.c_Fact_Ofact__class_Ofact V_n tptp.tc_nat))))
% 1.67/1.91  (assume a253 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_b T_a)))))
% 1.67/1.91  (assume a254 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.67/1.91  (assume a255 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a)))))
% 1.67/1.91  (assume a256 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_Fact_Ofact__class_Ofact V_m tptp.tc_nat) (tptp.c_Fact_Ofact__class_Ofact V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a257 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) V_a))))
% 1.67/1.91  (assume a258 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_c V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a)) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a259 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_c V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_b V_a T_a)))))
% 1.67/1.91  (assume a260 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) T_a)))))
% 1.67/1.91  (assume a261 (forall ((V_times $$unsorted) (V_one $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_times (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) V_n)) V_a) (tptp.hAPP (tptp.hAPP V_times V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) V_n))) (not (tptp.c_OrderedGroup_Omonoid__mult V_one V_times T_a)))))
% 1.67/1.91  (assume a262 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_w V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_w T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.67/1.91  (assume a263 (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a264 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) V_n)))))
% 1.67/1.91  (assume a265 (forall ((V_n $$unsorted)) (= (tptp.hAPP tptp.c_Suc V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) V_n))))
% 1.67/1.91  (assume a266 (forall ((V_n $$unsorted)) (= (tptp.hAPP tptp.c_Suc V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))))
% 1.67/1.91  (assume a267 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a268 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Int_Onumber__class_Onumber__of V_x T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Int_Onumber__class_Onumber__of V_x T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a269 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a270 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a271 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a272 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a273 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat) V_m tptp.tc_nat)))
% 1.67/1.91  (assume a274 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) T_a))))
% 1.67/1.91  (assume a275 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) V_a) (not (tptp.c_OrderedGroup_Omonoid__mult V_one V_times T_a)))))
% 1.67/1.91  (assume a276 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) V_a))))
% 1.67/1.91  (assume a277 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) (tptp.hAPP tptp.c_Suc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) V_n))))))
% 1.67/1.91  (assume a278 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) (tptp.hAPP tptp.c_Suc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) V_n)) V_a)))))
% 1.67/1.91  (assume a279 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a280 (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))
% 1.67/1.91  (assume a281 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a282 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a)) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a)) V_c T_a)))))
% 1.67/1.91  (assume a283 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a284 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c))))))
% 1.67/1.91  (assume a285 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c))))))
% 1.67/1.91  (assume a286 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y)) V_z)))))
% 1.67/1.91  (assume a287 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_z))))))
% 1.67/1.91  (assume a288 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n)) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) V_k)))))
% 1.67/1.91  (assume a289 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) V_z)))))
% 1.67/1.91  (assume a290 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c))))))
% 1.67/1.91  (assume a291 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c)) V_d)))))
% 1.67/1.91  (assume a292 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c)) V_b)))))
% 1.67/1.91  (assume a293 (forall ((V_x $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP tptp.c_Suc V_x) (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_Divides_Odiv__class_Odiv V_x (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) tptp.tc_nat))) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat))))
% 1.67/1.91  (assume a294 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) T_a) V_b T_a)))))
% 1.67/1.91  (assume a295 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a296 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.67/1.91  (assume a297 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a298 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a299 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a)))))
% 1.67/1.91  (assume a300 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a)) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a))) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a301 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a)) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b))) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a302 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) (tptp.c_HOL_Ominus__class_Ominus V_n V_m tptp.tc_nat))) (tptp.c_lessequals V_n V_m tptp.tc_nat) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a303 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_Divides_Odiv__class_Omod V_x (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)))))
% 1.67/1.91  (assume a304 (forall ((V_x $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod V_x (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat))))
% 1.67/1.91  (assume a305 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)))))
% 1.67/1.91  (assume a306 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (tptp.c_HOL_Oone__class_Oone T_a)) T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a307 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (tptp.c_HOL_Oone__class_Oone T_a)) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a308 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a)) V_z) (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_z) V_y)) V_y T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a309 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_z) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a)) (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_z) V_y)) V_y T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a310 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_d))))))
% 1.67/1.91  (assume a311 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a)) (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a))) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a)) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a312 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))))
% 1.67/1.91  (assume a313 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))))
% 1.67/1.91  (assume a314 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a))))))
% 1.67/1.91  (assume a315 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a))))))
% 1.67/1.91  (assume a316 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a317 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Odiv V_m V_k tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv V_n V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a318 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a319 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 1.67/1.91  (assume a320 (forall ((V_add $$unsorted) (V_mul $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_b $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add (tptp.hAPP (tptp.hAPP V_mul V_a) V_m)) (tptp.hAPP (tptp.hAPP V_mul V_b) V_m)) (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_add V_a) V_b)) V_m)) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a321 (forall ((V_add $$unsorted) (V_mul $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_r1 $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add (tptp.hAPP (tptp.hAPP V_mul V_a) V_m)) V_m) (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_add V_a) V_r1)) V_m)) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a322 (forall ((V_add $$unsorted) (V_m $$unsorted) (V_mul $$unsorted) (V_a $$unsorted) (V_r1 $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add V_m) (tptp.hAPP (tptp.hAPP V_mul V_a) V_m)) (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_add V_a) V_r1)) V_m)) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a323 (forall ((V_add $$unsorted) (V_m $$unsorted) (V_mul $$unsorted) (V_r1 $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add V_m) V_m) (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_add V_r1) V_r1)) V_m)) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a324 (forall ((V_add $$unsorted) (V_r0 $$unsorted) (V_a $$unsorted) (V_mul $$unsorted) (V_pwr $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add V_r0) V_a) V_a) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a325 (forall ((V_add $$unsorted) (V_a $$unsorted) (V_r0 $$unsorted) (V_mul $$unsorted) (V_pwr $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add V_a) V_r0) V_a) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a326 (forall ((V_mul $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul V_a) V_b) (tptp.hAPP (tptp.hAPP V_mul V_b) V_a)) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a327 (forall ((V_mul $$unsorted) (V_add $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_add V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP V_add (tptp.hAPP (tptp.hAPP V_mul V_a) V_c)) (tptp.hAPP (tptp.hAPP V_mul V_b) V_c))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a328 (forall ((V_mul $$unsorted) (V_r0 $$unsorted) (V_a $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul V_r0) V_a) V_r0) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a329 (forall ((V_mul $$unsorted) (V_a $$unsorted) (V_r0 $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul V_a) V_r0) V_r0) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a330 (forall ((V_mul $$unsorted) (V_r1 $$unsorted) (V_a $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul V_r1) V_a) V_a) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a331 (forall ((V_mul $$unsorted) (V_a $$unsorted) (V_r1 $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul V_a) V_r1) V_a) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a332 (forall ((V_mul $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_mul V_lx) V_ly)) (tptp.hAPP (tptp.hAPP V_mul V_rx) V_ry)) (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_mul V_lx) V_rx)) (tptp.hAPP (tptp.hAPP V_mul V_ly) V_ry))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a333 (forall ((V_mul $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_mul V_lx) V_ly)) (tptp.hAPP (tptp.hAPP V_mul V_rx) V_ry)) (tptp.hAPP (tptp.hAPP V_mul V_lx) (tptp.hAPP (tptp.hAPP V_mul V_ly) (tptp.hAPP (tptp.hAPP V_mul V_rx) V_ry)))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a334 (forall ((V_mul $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_mul V_lx) V_ly)) (tptp.hAPP (tptp.hAPP V_mul V_rx) V_ry)) (tptp.hAPP (tptp.hAPP V_mul V_rx) (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_mul V_lx) V_ly)) V_ry))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a335 (forall ((V_mul $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_mul V_lx) V_ly)) V_rx) (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_mul V_lx) V_rx)) V_ly)) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a336 (forall ((V_mul $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_mul V_lx) V_ly)) V_rx) (tptp.hAPP (tptp.hAPP V_mul V_lx) (tptp.hAPP (tptp.hAPP V_mul V_ly) V_rx))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a337 (forall ((V_mul $$unsorted) (V_lx $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul V_lx) (tptp.hAPP (tptp.hAPP V_mul V_rx) V_ry)) (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_mul V_lx) V_rx)) V_ry)) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a338 (forall ((V_mul $$unsorted) (V_lx $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul V_lx) (tptp.hAPP (tptp.hAPP V_mul V_rx) V_ry)) (tptp.hAPP (tptp.hAPP V_mul V_rx) (tptp.hAPP (tptp.hAPP V_mul V_lx) V_ry))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a339 (forall ((V_add $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted) (V_mul $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add (tptp.hAPP (tptp.hAPP V_add V_a) V_b)) (tptp.hAPP (tptp.hAPP V_add V_c) V_d)) (tptp.hAPP (tptp.hAPP V_add (tptp.hAPP (tptp.hAPP V_add V_a) V_c)) (tptp.hAPP (tptp.hAPP V_add V_b) V_d))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a340 (forall ((V_add $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_mul $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add (tptp.hAPP (tptp.hAPP V_add V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP V_add V_a) (tptp.hAPP (tptp.hAPP V_add V_b) V_c))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a341 (forall ((V_add $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted) (V_mul $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add V_a) (tptp.hAPP (tptp.hAPP V_add V_c) V_d)) (tptp.hAPP (tptp.hAPP V_add V_c) (tptp.hAPP (tptp.hAPP V_add V_a) V_d))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a342 (forall ((V_add $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_mul $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add (tptp.hAPP (tptp.hAPP V_add V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP V_add (tptp.hAPP (tptp.hAPP V_add V_a) V_c)) V_b)) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a343 (forall ((V_add $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_mul $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add V_a) V_c) (tptp.hAPP (tptp.hAPP V_add V_c) V_a)) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a344 (forall ((V_add $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted) (V_mul $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add V_a) (tptp.hAPP (tptp.hAPP V_add V_c) V_d)) (tptp.hAPP (tptp.hAPP V_add (tptp.hAPP (tptp.hAPP V_add V_a) V_c)) V_d)) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a345 (forall ((V_add $$unsorted) (V_r0 $$unsorted) (V_x $$unsorted) (V_mul $$unsorted) (V_pwr $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add V_r0) V_x) V_x) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a346 (forall ((V_add $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_mul $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add V_x) (tptp.hAPP (tptp.hAPP V_add V_y) V_z)) (tptp.hAPP (tptp.hAPP V_add (tptp.hAPP (tptp.hAPP V_add V_x) V_y)) V_z)) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a347 (forall ((V_add $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_mul $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_add V_x) V_y) (tptp.hAPP (tptp.hAPP V_add V_y) V_x)) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a348 (forall ((V_mul $$unsorted) (V_r0 $$unsorted) (V_x $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul V_r0) V_x) V_r0) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a349 (forall ((V_mul $$unsorted) (V_r1 $$unsorted) (V_x $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul V_r1) V_x) V_x) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a350 (forall ((V_mul $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul V_x) (tptp.hAPP (tptp.hAPP V_mul V_y) V_z)) (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_mul V_x) V_y)) V_z)) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a351 (forall ((V_mul $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_add $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul V_x) V_y) (tptp.hAPP (tptp.hAPP V_mul V_y) V_x)) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a352 (forall ((V_mul $$unsorted) (V_x $$unsorted) (V_add $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_pwr $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul V_x) (tptp.hAPP (tptp.hAPP V_add V_y) V_z)) (tptp.hAPP (tptp.hAPP V_add (tptp.hAPP (tptp.hAPP V_mul V_x) V_y)) (tptp.hAPP (tptp.hAPP V_mul V_x) V_z))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a353 (forall ((V_pwr $$unsorted) (V_mul $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_q $$unsorted) (V_add $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_pwr (tptp.hAPP (tptp.hAPP V_mul V_x) V_y)) V_q) (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_pwr V_x) V_q)) (tptp.hAPP (tptp.hAPP V_pwr V_y) V_q))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a354 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.67/1.91  (assume a355 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a356 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_x) V_x T_a) (not (tptp.c_lessequals V_y (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.67/1.91  (assume a357 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y) V_x T_a) (not (tptp.c_lessequals V_y (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.67/1.91  (assume a358 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_a))))
% 1.67/1.91  (assume a359 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a360 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a361 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a362 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)))))
% 1.67/1.91  (assume a363 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) V_k))) (= V_m V_n))))
% 1.67/1.91  (assume a364 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_n))) (= V_m V_n))))
% 1.67/1.91  (assume a365 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) V_z))) (= V_y V_z))))
% 1.67/1.91  (assume a366 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_z))) (= V_y V_z))))
% 1.67/1.91  (assume a367 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c))) (= V_b V_c))))
% 1.67/1.91  (assume a368 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c))) (= V_b V_c))))
% 1.67/1.91  (assume a369 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a))) (= V_b V_c))))
% 1.67/1.91  (assume a370 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oone__class_Oone T_a) T_a)) V_x) (tptp.c_HOL_Oone__class_Oone T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)))))
% 1.67/1.91  (assume a371 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= (tptp.c_Fact_Ofact__class_Ofact (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))))
% 1.67/1.91  (assume a372 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a373 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a374 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a375 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a376 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a377 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a378 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a379 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a)) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a380 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.67/1.91  (assume a381 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a382 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a383 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) V_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a384 (forall ((V_n $$unsorted)) (not (= (tptp.c_Fact_Ofact__class_Ofact V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a385 (forall ((V_less $$unsorted) (V_zero $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_abs $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_sgn $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) (tptp.hAPP V_abs V_a)) V_n))) (= V_a V_zero) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a386 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a387 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)))))
% 1.67/1.91  (assume a388 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a389 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)))))
% 1.67/1.91  (assume a390 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n))) (= V_n (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a391 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_m (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 1.67/1.91  (assume a392 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a))))))
% 1.67/1.91  (assume a393 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_d))))))
% 1.67/1.91  (assume a394 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c))))))
% 1.67/1.91  (assume a395 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a396 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a))) (= (tptp.c_HOL_Ozero__class_Ozero T_a) V_a))))
% 1.67/1.91  (assume a397 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 1.67/1.91  (assume a398 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) (tptp.c_HOL_Oabs__class_Oabs V_b T_a)) T_a))))
% 1.67/1.91  (assume a399 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_lessequals V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_y) V_z) tptp.tc_nat) (not (tptp.c_lessequals V_x V_y tptp.tc_nat)))))
% 1.67/1.91  (assume a400 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_lessequals V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_y) V_z) tptp.tc_nat) (not (tptp.c_lessequals V_x V_z tptp.tc_nat)))))
% 1.67/1.91  (assume a401 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_k) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a402 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_k V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_k) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a403 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_i (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_j) V_m) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a404 (forall ((V_i $$unsorted) (V_m $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals V_i (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_j) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a405 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_x V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a406 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_a T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a407 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_a T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a408 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a)) V_c T_a)))))
% 1.67/1.91  (assume a409 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a)) V_b) V_c T_a)))))
% 1.67/1.91  (assume a410 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.67/1.91  (assume a411 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.67/1.91  (assume a412 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.67/1.91  (assume a413 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.67/1.91  (assume a414 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a415 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) V_m) tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a416 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_n) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a417 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a)))))
% 1.67/1.91  (assume a418 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_n) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.67/1.91  (assume a419 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a420 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)))))
% 1.67/1.91  (assume a421 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) V_y T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a)))))
% 1.67/1.91  (assume a422 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) T_a) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a423 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a424 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) T_a) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a425 (forall ((T_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oone__class_Oone T_a) T_a) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a)))))
% 1.67/1.91  (assume a426 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a)))))
% 1.67/1.91  (assume a427 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a428 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a429 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a430 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a431 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a432 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_y)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a433 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_y)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a434 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)) (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a)) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a435 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a436 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a437 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a438 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a439 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a440 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a441 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a442 (forall ((V_n $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))
% 1.67/1.91  (assume a443 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) V_m)) V_n)))))
% 1.67/1.91  (assume a444 (= (tptp.c_Fact_Ofact__class_Ofact (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))
% 1.67/1.91  (assume a445 (forall ((V_n $$unsorted)) (or (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a446 (forall ((V_n $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a447 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oabs__class_Oabs V_x T_a)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a448 (forall ((V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.67/1.91  (assume a449 (forall ((V_times $$unsorted) (V_a $$unsorted) (V_one $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_times V_a) V_one) V_a) (not (tptp.c_OrderedGroup_Omonoid__mult V_one V_times T_a)))))
% 1.67/1.91  (assume a450 (forall ((V_times $$unsorted) (V_one $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_times V_one) V_a) V_a) (not (tptp.c_OrderedGroup_Omonoid__mult V_one V_times T_a)))))
% 1.67/1.91  (assume a451 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a452 (forall ((T_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (not (tptp.c_Int_Oiszero (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a) T_a)))))
% 1.67/1.91  (assume a453 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a))) (= V_x (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a454 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a)))))
% 1.67/1.91  (assume a455 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) V_m tptp.tc_nat)))
% 1.67/1.91  (assume a456 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) V_m) V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a457 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Suc (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat)) V_n)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a458 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a)))))
% 1.67/1.91  (assume a459 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)))))
% 1.67/1.91  (assume a460 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a461 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a462 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a463 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a)))))
% 1.67/1.91  (assume a464 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_m (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 1.67/1.91  (assume a465 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_n (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a466 (forall ((V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit1 V_k) tptp.c_Int_OMin tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless V_k tptp.c_Int_OMin tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a467 (forall ((V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_k tptp.c_Int_OMin tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit1 V_k) tptp.c_Int_OMin tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a468 (forall ((V_n $$unsorted)) (tptp.c_lessequals (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Fact_Ofact__class_Ofact V_n tptp.tc_nat) tptp.tc_nat)))
% 1.67/1.91  (assume a469 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Fact_Ofact__class_Ofact (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n)) (tptp.c_Fact_Ofact__class_Ofact (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) V_n) tptp.tc_nat))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a470 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a471 (forall ((V_less $$unsorted) (V_times $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP V_times V_a) V_c)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) V_zero)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_a) V_one))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a472 (forall ((V_less $$unsorted) (V_times $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_one $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP V_times V_a) V_c)) V_c)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_one) V_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a473 (forall ((V_less $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) (tptp.hAPP (tptp.hAPP V_times V_b) V_c))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) V_zero)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_one) V_b))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a474 (forall ((V_less $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_one $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) (tptp.hAPP (tptp.hAPP V_times V_b) V_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_b) V_one))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a475 (forall ((V_less $$unsorted) (V_times $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP V_times V_c) V_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) V_zero)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_a) V_one))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a476 (forall ((V_less $$unsorted) (V_times $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_one $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP V_times V_c) V_a)) V_c)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_one) V_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a477 (forall ((V_less $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) (tptp.hAPP (tptp.hAPP V_times V_c) V_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) V_zero)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_one) V_b))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a478 (forall ((V_less $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_one $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) (tptp.hAPP (tptp.hAPP V_times V_c) V_b))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_b) V_one))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a479 (forall ((V_less__eq $$unsorted) (V_times $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_times V_a) V_c)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) V_zero)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_a) V_one))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a480 (forall ((V_less__eq $$unsorted) (V_times $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_one $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_times V_a) V_c)) V_c)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_one) V_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a481 (forall ((V_less__eq $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) (tptp.hAPP (tptp.hAPP V_times V_b) V_c))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) V_zero)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_one) V_b))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a482 (forall ((V_less__eq $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_one $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) (tptp.hAPP (tptp.hAPP V_times V_b) V_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_b) V_one))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a483 (forall ((V_less__eq $$unsorted) (V_times $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_times V_c) V_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) V_zero)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_a) V_one))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a484 (forall ((V_less__eq $$unsorted) (V_times $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_one $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_times V_c) V_a)) V_c)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_one) V_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a485 (forall ((V_less__eq $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) (tptp.hAPP (tptp.hAPP V_times V_c) V_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) V_zero)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_one) V_b))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a486 (forall ((V_less__eq $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_one $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) (tptp.hAPP (tptp.hAPP V_times V_c) V_b))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_b) V_one))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a487 (forall ((V_less $$unsorted) (V_zero $$unsorted) (V_sgn $$unsorted) (V_a $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) (tptp.hAPP V_sgn V_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_a))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a488 (forall ((V_less $$unsorted) (V_zero $$unsorted) (V_a $$unsorted) (V_sgn $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) (tptp.hAPP V_sgn V_a)))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a489 (forall ((V_less $$unsorted) (V_sgn $$unsorted) (V_a $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP V_sgn V_a)) V_zero)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_a) V_zero))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a490 (forall ((V_less $$unsorted) (V_a $$unsorted) (V_zero $$unsorted) (V_sgn $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_a) V_zero)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP V_sgn V_a)) V_zero))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a491 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a492 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a493 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_N $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_N) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) (not (tptp.c_lessequals V_n V_N tptp.tc_nat)))))
% 1.67/1.91  (assume a494 (= (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a495 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 1.67/1.91  (assume a496 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a497 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a498 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a499 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a500 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a)))))
% 1.67/1.91  (assume a501 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) T_a) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a502 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_u))) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_z) V_u))))
% 1.67/1.91  (assume a503 (forall ((V_x $$unsorted)) (or (= (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (tptp.c_Divides_Odiv__class_Odiv V_x (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) tptp.tc_nat))) V_x) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat))))
% 1.67/1.91  (assume a504 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))
% 1.67/1.91  (assume a505 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) V_n))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a506 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 1.67/1.91  (assume a507 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a508 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 1.67/1.91  (assume a509 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a510 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) V_n) T_a))))
% 1.67/1.91  (assume a511 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a512 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) V_n))))))
% 1.67/1.91  (assume a513 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_b) V_n))))))
% 1.67/1.91  (assume a514 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted) (V_l $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_j) V_l) tptp.tc_nat) (not (tptp.c_lessequals V_k V_l tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a515 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_d) T_a) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a516 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a)))))
% 1.67/1.91  (assume a517 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a518 (forall ((V_a $$unsorted) (V_c $$unsorted)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP tptp.c_Suc V_a) V_c tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv V_a V_c tptp.tc_nat)) (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_c tptp.tc_nat))) (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod V_a V_c tptp.tc_nat)) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_c tptp.tc_nat)) V_c tptp.tc_nat)))))
% 1.67/1.91  (assume a519 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) T_a)))))
% 1.67/1.91  (assume a520 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a521 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a522 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a523 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a524 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a525 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 1.67/1.91  (assume a526 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv V_a V_a T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a527 (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OMin tptp.c_Int_OPls tptp.tc_Int_Oint))
% 1.67/1.91  (assume a528 (forall ((V_v $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat)) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_v tptp.c_Int_OPls tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a529 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_d) T_a) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_a V_c T_a) T_a)) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_b V_d T_a) T_a)) T_a))))
% 1.67/1.91  (assume a530 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) T_a) (not (tptp.c_lessequals V_b V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a531 (forall ((V_sgn $$unsorted) (V_a $$unsorted) (V_uminus $$unsorted) (V_one $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_times $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP V_sgn V_a) (tptp.hAPP V_uminus V_one)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_a) V_zero))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a532 (forall ((V_sgn $$unsorted) (V_a $$unsorted) (V_one $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_times $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP V_sgn V_a) V_one) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_a))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a533 (forall ((V_sgn $$unsorted) (V_a $$unsorted) (V_uminus $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_times $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.hAPP V_sgn V_a) (tptp.hAPP V_uminus V_one))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_a) V_zero)))))
% 1.67/1.91  (assume a534 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a535 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 1.67/1.91  (assume a536 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a537 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a538 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 1.67/1.91  (assume a539 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a540 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_a T_a)))))
% 1.67/1.91  (assume a541 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a542 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 1.67/1.91  (assume a543 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a544 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_a T_a)))))
% 1.67/1.91  (assume a545 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a546 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a547 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.67/1.91  (assume a548 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)))))
% 1.67/1.91  (assume a549 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a)) V_b)) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a))) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c)))))
% 1.67/1.91  (assume a550 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a))) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a))) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c)))))
% 1.67/1.91  (assume a551 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a552 (forall ((V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OMin V_k tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OMin (tptp.c_Int_OBit0 V_k) tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a553 (forall ((V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OMin (tptp.c_Int_OBit0 V_k) tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OMin V_k tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a554 (forall ((V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OMin V_k tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OMin (tptp.c_Int_OBit1 V_k) tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a555 (forall ((V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OMin (tptp.c_Int_OBit1 V_k) tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OMin V_k tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a556 (forall ((T_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oone__class_Oone T_a) T_a)))))
% 1.67/1.91  (assume a557 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_N $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_N) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_n V_N tptp.tc_nat)))))
% 1.67/1.91  (assume a558 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 1.67/1.91  (assume a559 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a560 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a)))))
% 1.67/1.91  (assume a561 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) V_m))))
% 1.67/1.91  (assume a562 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_x)))))
% 1.67/1.91  (assume a563 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_a)))))
% 1.67/1.91  (assume a564 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a565 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a566 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a567 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a568 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 1.67/1.91  (assume a569 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a570 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 1.67/1.91  (assume a571 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a572 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Odiv V_k V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv V_k V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a573 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a574 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_a_H $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a_H V_b T_a))) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ouminus__class_Ouminus V_a_H T_a) V_b T_a)))))
% 1.67/1.91  (assume a575 (forall ((V_mul $$unsorted) (V_pwr $$unsorted) (V_x $$unsorted) (V_p $$unsorted) (V_q $$unsorted) (V_add $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_pwr V_x) V_p)) (tptp.hAPP (tptp.hAPP V_pwr V_x) V_q)) (tptp.hAPP (tptp.hAPP V_pwr V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_p) V_q))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a576 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b)) V_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a577 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c)) V_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a578 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a)))))
% 1.67/1.91  (assume a579 (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_m) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (tptp.c_HOL_Oone__class_Oone T_a))) V_m)))))
% 1.67/1.91  (assume a580 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a))))
% 1.67/1.91  (assume a581 (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a582 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a))))
% 1.67/1.91  (assume a583 (forall ((T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_c) V_c T_a)))))
% 1.67/1.91  (assume a584 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_b_H $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b_H V_c T_a))) (not (= (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_a_H V_c T_a))) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a_H) V_b_H) V_c T_a)))))
% 1.67/1.91  (assume a585 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a586 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n))) (= V_n (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_m (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 1.67/1.91  (assume a587 (forall ((V_j $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) V_i tptp.tc_nat) (not (tptp.c_lessequals V_j (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_k) tptp.tc_nat)))))
% 1.67/1.91  (assume a588 (forall ((V_j $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_j (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_k) tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) V_i tptp.tc_nat)))))
% 1.67/1.91  (assume a589 (forall ((V_j $$unsorted) (V_k $$unsorted) (V_P $$unsorted) (V_i $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_j V_k tptp.tc_nat)) (= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_i)) V_j) V_k tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP V_P V_i)))))
% 1.67/1.91  (assume a590 (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))
% 1.67/1.91  (assume a591 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b))))
% 1.67/1.91  (assume a592 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)))))
% 1.67/1.91  (assume a593 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a594 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a595 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_n))) (= V_a V_b) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a596 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) V_y)) (= V_x (tptp.c_HOL_Ouminus__class_Ouminus V_z T_a)))))
% 1.67/1.91  (assume a597 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a598 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a599 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a)) V_n) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a600 (= (tptp.c_Fact_Ofact__class_Ofact (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a601 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Groebner__Basis_Ogb__semiring (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a))))
% 1.67/1.91  (assume a602 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a603 (forall ((V_less__eq $$unsorted) (V_zero $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_abs $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less $$unsorted) (V_sgn $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) (tptp.hAPP V_abs V_a)) V_n))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a604 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)))))
% 1.67/1.91  (assume a605 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c)) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 1.67/1.91  (assume a606 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b)) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 1.67/1.91  (assume a607 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n)) V_m) V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat))))
% 1.67/1.91  (assume a608 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.67/1.91  (assume a609 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a))))
% 1.67/1.91  (assume a610 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a) V_a))))
% 1.67/1.91  (assume a611 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a))))
% 1.67/1.91  (assume a612 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 1.67/1.91  (assume a613 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_x) V_x))))
% 1.67/1.91  (assume a614 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a) V_a))))
% 1.67/1.91  (assume a615 (forall ((V_x $$unsorted)) (= V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a616 (forall ((V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_m)))
% 1.67/1.91  (assume a617 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n) V_n)))
% 1.67/1.91  (assume a618 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a))))
% 1.67/1.91  (assume a619 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a) V_a))))
% 1.67/1.91  (assume a620 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)))))
% 1.67/1.91  (assume a621 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a622 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.67/1.91  (assume a623 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)))))
% 1.67/1.91  (assume a624 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a625 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 1.67/1.91  (assume a626 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) V_c T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a)) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a))))))
% 1.67/1.91  (assume a627 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y) V_ya T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_ya T_a)) (tptp.c_HOL_Oinverse__class_Odivide V_y V_ya T_a))))))
% 1.67/1.91  (assume a628 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) V_b))))
% 1.67/1.91  (assume a629 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= V_a (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 1.67/1.91  (assume a630 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= V_b (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 1.67/1.91  (assume a631 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) T_a) V_x))))
% 1.67/1.91  (assume a632 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) V_a))))
% 1.67/1.91  (assume a633 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_a))))
% 1.67/1.91  (assume a634 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_d) T_a) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a635 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_d) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a636 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) V_a T_a)))))
% 1.67/1.91  (assume a637 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a)))))
% 1.67/1.91  (assume a638 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 1.67/1.91  (assume a639 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 1.67/1.91  (assume a640 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 1.67/1.91  (assume a641 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.67/1.91  (assume a642 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.67/1.91  (assume a643 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.67/1.91  (assume a644 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a645 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a646 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c) T_a)))))
% 1.67/1.91  (assume a647 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a648 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a649 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_b) T_a)))))
% 1.67/1.91  (assume a650 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.67/1.91  (assume a651 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.67/1.91  (assume a652 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_d) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a653 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.67/1.91  (assume a654 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_b T_a)))))
% 1.67/1.91  (assume a655 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (= V_a V_b) (not (tptp.c_lessequals V_b V_a T_a)))))
% 1.67/1.91  (assume a656 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_lessequals V_b V_a T_a)) (= V_a V_b))))
% 1.67/1.91  (assume a657 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.67/1.91  (assume a658 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 1.67/1.91  (assume a659 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals V_a V_b T_a)) (= V_a V_b))))
% 1.67/1.91  (assume a660 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (= V_a V_b) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a661 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.67/1.91  (assume a662 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.67/1.91  (assume a663 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a664 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 1.67/1.91  (assume a665 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.67/1.91  (assume a666 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_lessequals V_y V_x T_a))))
% 1.67/1.91  (assume a667 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_x V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 1.67/1.91  (assume a668 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_x T_a) (tptp.c_lessequals V_x V_x T_a))))
% 1.67/1.91  (assume a669 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.67/1.91  (assume a670 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 1.67/1.91  (assume a671 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 1.67/1.91  (assume a672 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 1.67/1.91  (assume a673 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) V_a T_a)))))
% 1.67/1.91  (assume a674 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a)))))
% 1.67/1.91  (assume a675 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 1.67/1.91  (assume a676 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 1.67/1.91  (assume a677 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_d) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a678 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_d) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a679 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_c V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a680 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_c V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 1.67/1.91  (assume a681 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)))))
% 1.67/1.91  (assume a682 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a683 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a684 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.67/1.91  (assume a685 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)))))
% 1.67/1.91  (assume a686 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a687 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a688 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 1.67/1.91  (assume a689 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)))))
% 1.67/1.91  (assume a690 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)))))
% 1.67/1.91  (assume a691 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)))))
% 1.67/1.91  (assume a692 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)))))
% 1.67/1.91  (assume a693 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a694 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a)) V_n)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a695 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a696 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))))
% 1.67/1.91  (assume a697 (forall ((V_n $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Fact_Ofact__class_Ofact V_n tptp.tc_nat) tptp.tc_nat)))
% 1.67/1.91  (assume a698 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a)) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a)) (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_w) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_z) T_a)) (= V_z (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a699 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a)) V_c)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a700 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a)) V_c) V_b) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a701 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a))))
% 1.67/1.91  (assume a702 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) V_n) T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a)))))
% 1.67/1.91  (assume a703 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_m)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Oone__class_Oone T_a))) V_m)))))
% 1.67/1.91  (assume a704 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Oone__class_Oone T_a))) V_m)))))
% 1.67/1.91  (assume a705 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_k) V_j tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a706 (forall ((V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod V_m (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a707 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_n) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a708 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a709 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a710 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) V_n))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a711 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= V_z (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Int_Oiszero V_z T_a)))))
% 1.67/1.91  (assume a712 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a713 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oabs__class_Oabs V_y T_a)) V_x) (tptp.c_HOL_Oabs__class_Oabs (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_x) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.67/1.91  (assume a714 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_x (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a)))))
% 1.67/1.91  (assume a715 (= (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a716 (forall ((V_x $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_Int_Oint))))
% 1.67/1.91  (assume a717 (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.c_lessequals V_i (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_i) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_i) V_i tptp.tc_nat) V_k))))
% 1.67/1.91  (assume a718 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a719 (forall ((V_k $$unsorted) (V_x $$unsorted)) (tptp.c_lessequals V_k (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_x) tptp.tc_nat)))
% 1.67/1.91  (assume a720 (forall ((V_m $$unsorted) (V_x $$unsorted)) (tptp.c_lessequals V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_x) tptp.tc_nat)))
% 1.67/1.91  (assume a721 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.c_lessequals V_n (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat)))
% 1.67/1.91  (assume a722 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.c_lessequals V_n (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) V_m) tptp.tc_nat)))
% 1.67/1.91  (assume a723 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a724 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a725 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a726 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a727 (forall ((V_pwr $$unsorted) (V_x $$unsorted) (V_add $$unsorted) (V_mul $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_pwr V_x) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) V_x) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a728 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_x (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a)))))
% 1.67/1.91  (assume a729 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Fact_Ofact__class_Ofact (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n)) (tptp.c_Fact_Ofact__class_Ofact (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) tptp.tc_nat))) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a730 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.67/1.91  (assume a731 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a732 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_z T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) V_y))))
% 1.67/1.91  (assume a733 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_b))))
% 1.67/1.91  (assume a734 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oone__class_Oone T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a735 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.67/1.91  (assume a736 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oone__class_Oone T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a737 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a738 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a739 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_x V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_w T_a) T_a) (not (tptp.c_lessequals V_w V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_w T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.67/1.91  (assume a740 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a741 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a742 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a743 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a))))
% 1.67/1.91  (assume a744 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)) V_n) V_m) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a745 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)) V_m) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a746 (forall ((V_i $$unsorted) (V_j $$unsorted)) (or (not (tptp.c_lessequals V_i V_j tptp.tc_nat)) (= V_j (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat)) V_i)))))
% 1.67/1.91  (assume a747 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a748 (forall ((V_j $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat)) V_i) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_j) V_i) V_k tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a749 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_j) V_k tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a750 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat) V_m tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a751 (not (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OPls tptp.c_Int_OMin tptp.tc_Int_Oint)))
% 1.67/1.91  (assume a752 (forall ((V_x $$unsorted) (V_n $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_xb $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_xa)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_xb)))) (= (tptp.c_Divides_Odiv__class_Omod V_x V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod V_y V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a753 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a754 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a755 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a756 (forall ((V_P $$unsorted) (V_m $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Divides_Odiv__class_Odiv V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))))
% 1.67/1.91  (assume a757 (forall ((V_P $$unsorted) (V_n $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Divides_Odiv__class_Odiv V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))))
% 1.67/1.91  (assume a758 (forall ((V_P $$unsorted) (V_n $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Divides_Odiv__class_Odiv V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 1.67/1.91  (assume a759 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) (tptp.c_HOL_Oabs__class_Oabs V_b T_a)) T_a))))
% 1.67/1.91  (assume a760 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a)) V_n) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.67/1.91  (assume a761 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oone__class_Oone T_a) T_a)) V_x) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat))))
% 1.67/1.91  (assume a762 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a763 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__ab__group__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a764 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a))))))
% 1.67/1.91  (assume a765 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.c_HOL_Oinverse__class_Oinverse V_y T_a))))))
% 1.67/1.91  (assume a766 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Fact_Ofact__class_Ofact V_m tptp.tc_nat) (tptp.c_Fact_Ofact__class_Ofact V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a767 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (tptp.c_Int_Oiszero (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.67/1.91  (assume a768 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a)))))
% 1.67/1.91  (assume a769 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)))))
% 1.67/1.91  (assume a770 (forall ((V_x $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP tptp.c_Suc V_x) (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv V_x (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)))))
% 1.67/1.91  (assume a771 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.67/1.91  (assume a772 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a773 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a774 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_a) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.67/1.91  (assume a775 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oabs__if T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_a) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.67/1.91  (assume a776 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)))))
% 1.67/1.91  (assume a777 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a778 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.67/1.91  (assume a779 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)) V_n) (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_n) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a780 (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))
% 1.67/1.91  (assume a781 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) (tptp.c_HOL_Oabs__class_Oabs V_b T_a)) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) (tptp.c_HOL_Oabs__class_Oabs V_b T_a))))))
% 1.67/1.91  (assume a782 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 1.67/1.91  (assume a783 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a784 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.67/1.91  (assume a785 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a786 (forall ((V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (V_a $$unsorted) (V_times $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs (tptp.hAPP V_sgn V_a) V_times V_sgn T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_a)))))
% 1.67/1.91  (assume a787 (forall ((V_less__eq $$unsorted) (V_one $$unsorted) (V_b $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_one) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) (tptp.hAPP (tptp.hAPP V_times V_c) V_b)))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a788 (forall ((V_less__eq $$unsorted) (V_b $$unsorted) (V_one $$unsorted) (V_less $$unsorted) (V_c $$unsorted) (V_zero $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_b) V_one)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) V_zero))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) (tptp.hAPP (tptp.hAPP V_times V_c) V_b)))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a789 (forall ((V_less__eq $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) (tptp.hAPP (tptp.hAPP V_times V_c) V_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) V_zero)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a790 (forall ((V_less__eq $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) (tptp.hAPP (tptp.hAPP V_times V_c) V_b))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_b) V_one))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_one) V_b))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a791 (forall ((V_less__eq $$unsorted) (V_a $$unsorted) (V_one $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_a) V_one)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_times V_c) V_a)) V_c))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a792 (forall ((V_less__eq $$unsorted) (V_one $$unsorted) (V_a $$unsorted) (V_less $$unsorted) (V_c $$unsorted) (V_zero $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_one) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) V_zero))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_times V_c) V_a)) V_c))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a793 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a))) T_a)))))
% 1.67/1.91  (assume a794 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_d) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a795 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_z (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_z) V_y) V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 1.67/1.91  (assume a796 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_z) V_y) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 1.67/1.91  (assume a797 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a)))))
% 1.67/1.91  (assume a798 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.67/1.91  (assume a799 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a)))))
% 1.67/1.91  (assume a800 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 1.67/1.91  (assume a801 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_y)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a802 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a)))))
% 1.67/1.91  (assume a803 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a)))))
% 1.67/1.91  (assume a804 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a)))))
% 1.67/1.91  (assume a805 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a)))))
% 1.67/1.91  (assume a806 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_d) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a807 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a)))))
% 1.67/1.91  (assume a808 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a)))))
% 1.67/1.91  (assume a809 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (not (tptp.c_lessequals V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.67/1.91  (assume a810 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.67/1.91  (assume a811 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (not (tptp.c_lessequals V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a812 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b V_a T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a813 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_y)) T_a) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a814 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_y)) T_a) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a815 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Int_Onumber__class_Onumber__of V_x T_a) T_a) (tptp.c_Int_Onumber__class_Onumber__of V_x T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.67/1.91  (assume a816 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a817 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.67/1.91  (assume a818 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a819 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.67/1.91  (assume a820 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.67/1.91  (assume a821 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.67/1.91  (assume a822 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.67/1.91  (assume a823 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a)))))
% 1.67/1.91  (assume a824 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_r) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_x V_a T_a) T_a) V_r T_a)))))
% 1.67/1.91  (assume a825 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_x V_a T_a) T_a) V_r T_a) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_r) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_r T_a) V_x T_a)))))
% 1.67/1.91  (assume a826 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a827 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)))))
% 1.67/1.91  (assume a828 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.67/1.91  (assume a829 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.67/1.91  (assume a830 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.67/1.91  (assume a831 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a832 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.67/1.91  (assume a833 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.67/1.91  (assume a834 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.67/1.91  (assume a835 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a)))))
% 1.67/1.91  (assume a836 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)))))
% 1.67/1.91  (assume a837 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)))))
% 1.67/1.91  (assume a838 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)))))
% 1.67/1.91  (assume a839 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.67/1.91  (assume a840 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)))))
% 1.67/1.91  (assume a841 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)))))
% 1.67/1.91  (assume a842 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)))))
% 1.67/1.91  (assume a843 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a844 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)))))
% 1.67/1.91  (assume a845 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.67/1.91  (assume a846 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)))))
% 1.67/1.91  (assume a847 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)))))
% 1.67/1.91  (assume a848 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.67/1.91  (assume a849 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a850 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)))))
% 1.67/1.91  (assume a851 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.67/1.91  (assume a852 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)))))
% 1.67/1.91  (assume a853 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a)))))
% 1.67/1.91  (assume a854 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)) V_c)))))
% 1.67/1.91  (assume a855 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a))))))
% 1.67/1.91  (assume a856 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a))))))
% 1.67/1.91  (assume a857 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a858 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a859 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a860 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a861 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_x) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a862 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a863 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a864 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a865 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_y) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a866 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a867 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a868 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_b_H $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b_H V_c T_a))) (not (= (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_a_H V_c T_a))) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a_H) V_b_H) V_c T_a)))))
% 1.67/1.91  (assume a869 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_a)))))
% 1.67/1.91  (assume a870 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_w) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_w) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y)))) (= V_y V_z) (= V_w V_x))))
% 1.67/1.91  (assume a871 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c)))) (= V_c V_d) (= V_a V_b))))
% 1.67/1.91  (assume a872 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a)) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a)) V_c T_a)))))
% 1.67/1.91  (assume a873 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a)) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a))))))
% 1.67/1.91  (assume a874 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b)))))
% 1.67/1.91  (assume a875 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_b)))))
% 1.67/1.91  (assume a876 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a)) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) V_x) T_a)))))
% 1.67/1.91  (assume a877 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a)))))
% 1.67/1.91  (assume a878 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a)) V_y) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y) T_a)))))
% 1.67/1.91  (assume a879 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) V_b) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a)))))
% 1.67/1.91  (assume a880 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_m)))))
% 1.67/1.91  (assume a881 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c))))))
% 1.67/1.91  (assume a882 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_z))))))
% 1.67/1.91  (assume a883 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a_H)) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a_H) V_b))))))
% 1.67/1.91  (assume a884 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y)) V_ya) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_ya)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_ya))))))
% 1.67/1.91  (assume a885 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_b_H $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_b_H)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b_H))))))
% 1.67/1.91  (assume a886 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) V_y))))))
% 1.67/1.91  (assume a887 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c))))))
% 1.67/1.91  (assume a888 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a))))))
% 1.67/1.91  (assume a889 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) V_b)))))
% 1.67/1.91  (assume a890 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a)) (tptp.c_HOL_Oinverse__class_Odivide V_z V_w T_a)) (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_w) T_a)))))
% 1.67/1.91  (assume a891 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) (tptp.c_HOL_Oabs__class_Oabs V_b T_a))))))
% 1.67/1.91  (assume a892 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a893 (forall ((V_less__eq $$unsorted) (V_times $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_times V_c) V_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) V_zero)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a894 (forall ((V_less__eq $$unsorted) (V_times $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_times V_c) V_a)) V_c)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_one) V_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_a) V_one))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a895 (forall ((V_less__eq $$unsorted) (V_one $$unsorted) (V_b $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_one) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) (tptp.hAPP (tptp.hAPP V_times V_b) V_c)))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a896 (forall ((V_less__eq $$unsorted) (V_b $$unsorted) (V_one $$unsorted) (V_less $$unsorted) (V_c $$unsorted) (V_zero $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_b) V_one)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) V_zero))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) (tptp.hAPP (tptp.hAPP V_times V_b) V_c)))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a897 (forall ((V_less__eq $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) (tptp.hAPP (tptp.hAPP V_times V_b) V_c))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) V_zero)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a898 (forall ((V_less__eq $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) (tptp.hAPP (tptp.hAPP V_times V_b) V_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_b) V_one))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_one) V_b))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a899 (forall ((V_less__eq $$unsorted) (V_a $$unsorted) (V_one $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_a) V_one)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_times V_a) V_c)) V_c))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a900 (forall ((V_less__eq $$unsorted) (V_one $$unsorted) (V_a $$unsorted) (V_less $$unsorted) (V_c $$unsorted) (V_zero $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_one) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) V_zero))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_times V_a) V_c)) V_c))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a901 (forall ((V_less__eq $$unsorted) (V_times $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_less $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_times V_a) V_c)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) V_zero)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a902 (forall ((V_less__eq $$unsorted) (V_times $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_times V_a) V_c)) V_c)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_one) V_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_a) V_one))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a903 (forall ((V_less $$unsorted) (V_one $$unsorted) (V_b $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_one) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) V_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) (tptp.hAPP (tptp.hAPP V_times V_c) V_b)))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a904 (forall ((V_less $$unsorted) (V_b $$unsorted) (V_one $$unsorted) (V_less__eq $$unsorted) (V_c $$unsorted) (V_zero $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_b) V_one)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) V_zero))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) (tptp.hAPP (tptp.hAPP V_times V_c) V_b)))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a905 (forall ((V_less $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) (tptp.hAPP (tptp.hAPP V_times V_c) V_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) V_zero)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a906 (forall ((V_less $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) (tptp.hAPP (tptp.hAPP V_times V_c) V_b))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_b) V_one))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_one) V_b))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a907 (forall ((V_less $$unsorted) (V_a $$unsorted) (V_one $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_a) V_one)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) V_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP V_times V_c) V_a)) V_c))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a908 (forall ((V_less $$unsorted) (V_one $$unsorted) (V_a $$unsorted) (V_less__eq $$unsorted) (V_c $$unsorted) (V_zero $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_one) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) V_zero))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP V_times V_c) V_a)) V_c))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a909 (forall ((V_less $$unsorted) (V_times $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP V_times V_c) V_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) V_zero)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a910 (forall ((V_less $$unsorted) (V_times $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP V_times V_c) V_a)) V_c)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_one) V_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_a) V_one))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a911 (forall ((V_less $$unsorted) (V_one $$unsorted) (V_b $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_one) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) V_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) (tptp.hAPP (tptp.hAPP V_times V_b) V_c)))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a912 (forall ((V_less $$unsorted) (V_b $$unsorted) (V_one $$unsorted) (V_less__eq $$unsorted) (V_c $$unsorted) (V_zero $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_b) V_one)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) V_zero))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) (tptp.hAPP (tptp.hAPP V_times V_b) V_c)))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a913 (forall ((V_less $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) (tptp.hAPP (tptp.hAPP V_times V_b) V_c))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) V_zero)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a914 (forall ((V_less $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_b $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_c) (tptp.hAPP (tptp.hAPP V_times V_b) V_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_b) V_one))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_one) V_b))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a915 (forall ((V_less $$unsorted) (V_a $$unsorted) (V_one $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_c $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_a) V_one)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) V_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP V_times V_a) V_c)) V_c))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a916 (forall ((V_less $$unsorted) (V_one $$unsorted) (V_a $$unsorted) (V_less__eq $$unsorted) (V_c $$unsorted) (V_zero $$unsorted) (V_times $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_one) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) V_zero))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP V_times V_a) V_c)) V_c))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a917 (forall ((V_less $$unsorted) (V_times $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_less__eq $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP V_times V_a) V_c)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_c) V_zero)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) V_c)) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a918 (forall ((V_less $$unsorted) (V_times $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_one $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP V_times V_a) V_c)) V_c)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_one) V_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_a) V_one))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a919 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_one)))
% 1.67/1.91  (assume a920 (not (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OMin tptp.c_Int_OMin tptp.tc_Int_Oint)))
% 1.67/1.91  (assume a921 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (not (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a922 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a)))))
% 1.67/1.91  (assume a923 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a924 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.67/1.91  (assume a925 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a926 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a927 (forall ((V_P $$unsorted) (V_n $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P V_n))) (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Divides_Odiv__class_Omod V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))))
% 1.67/1.91  (assume a928 (forall ((V_P $$unsorted) (V_n $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Divides_Odiv__class_Omod V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP V_P V_n)))))
% 1.67/1.91  (assume a929 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 1.67/1.91  (assume a930 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 1.67/1.91  (assume a931 (forall ((V_x $$unsorted)) (tptp.c_lessequals V_x V_x tptp.tc_nat)))
% 1.67/1.91  (assume a932 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals V_i V_k tptp.tc_nat) (not (tptp.c_lessequals V_j V_k tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a933 (forall ((V_n $$unsorted)) (tptp.c_lessequals V_n V_n tptp.tc_nat)))
% 1.67/1.91  (assume a934 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_d $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_d) T_a) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c) T_a)))))
% 1.67/1.91  (assume a935 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.67/1.91  (assume a936 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a937 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.67/1.91  (assume a938 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a)))))
% 1.67/1.91  (assume a939 (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a940 (forall ((V_d $$unsorted) (V_x $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_d) V_x) V_d tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a941 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a942 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a943 (forall ((V_m $$unsorted)) (or (= (tptp.c_Fact_Ofact__class_Ofact V_m tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) (tptp.c_Fact_Ofact__class_Ofact (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) tptp.tc_nat))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a944 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)))))
% 1.67/1.91  (assume a945 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)))))
% 1.67/1.91  (assume a946 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a)) V_b)) V_a))))
% 1.67/1.91  (assume a947 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a))) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a948 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a) V_x T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a) T_a)))))
% 1.67/1.91  (assume a949 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (not (tptp.c_Int_Oiszero (tptp.c_HOL_Oone__class_Oone T_a) T_a)))))
% 1.67/1.91  (assume a950 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a951 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a)))))
% 1.67/1.91  (assume a952 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.67/1.91  (assume a953 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.67/1.91  (assume a954 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.67/1.91  (assume a955 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) T_a)))))
% 1.67/1.91  (assume a956 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 1.67/1.91  (assume a957 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a958 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a))) (= V_z (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_w) V_y)))))
% 1.67/1.91  (assume a959 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_w $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_w) V_y))) (= V_z (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a)))))
% 1.67/1.91  (assume a960 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat)) V_m tptp.tc_nat))))
% 1.67/1.91  (assume a961 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 1.67/1.91  (assume a962 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a963 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a))))
% 1.67/1.91  (assume a964 (forall ((T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_c) V_c T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a965 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a))))))
% 1.67/1.91  (assume a966 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a))))))
% 1.67/1.91  (assume a967 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 1.67/1.91  (assume a968 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_n V_m tptp.tc_nat) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 1.67/1.91  (assume a969 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.67/1.91  (assume a970 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_N $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_N) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_n V_N tptp.tc_nat)))))
% 1.67/1.91  (assume a971 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat))))
% 1.67/1.91  (assume a972 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) T_a))))
% 1.67/1.91  (assume a973 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a974 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.67/1.91  (assume a975 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat))))
% 1.67/1.91  (assume a976 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) T_a) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a977 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP V_times (tptp.hAPP (tptp.hAPP V_times V_a) V_a)) V_a)) (not (tptp.c_OrderedGroup_Omonoid__mult V_one V_times T_a)))))
% 1.67/1.91  (assume a978 (forall ((V_v $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OPls V_v tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a979 (forall ((V_v $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OPls V_v tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a980 (forall ((V_P $$unsorted) (V_m $$unsorted) (V_n $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) (tptp.hAPP tptp.c_Suc V_x)) tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_x) V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a981 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (tptp.c_HOL_Oord__class_Oless V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) (tptp.hAPP tptp.c_Suc (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat))) tptp.tc_nat))))
% 1.67/1.91  (assume a982 (forall ((V_k $$unsorted) (V_m $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m)) V_k tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.67/1.91  (assume a983 (forall ((V_v $$unsorted) (V_v_H $$unsorted) (V_k $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of V_v_H tptp.tc_nat)) V_k)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_v tptp.c_Int_OPls tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a984 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat)) (tptp.c_Int_Onumber__class_Onumber__of V_v_H tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_v tptp.c_Int_OPls tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a985 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_n tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a986 (forall ((V_n $$unsorted)) (or (= V_n (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a987 (forall ((V_n $$unsorted)) (or (= (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) V_n) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a988 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat)) V_u)) V_m) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) V_n) tptp.tc_nat)) (not (tptp.c_lessequals V_j V_i tptp.tc_nat)))))
% 1.67/1.91  (assume a989 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat)) V_u)) V_m) V_n tptp.tc_nat)) (not (tptp.c_lessequals V_j V_i tptp.tc_nat)))))
% 1.67/1.91  (assume a990 (forall ((V_m $$unsorted) (V_j $$unsorted) (V_i $$unsorted) (V_u $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat)) V_u)) V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) V_n) tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a991 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat)) V_u)) V_n) tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a992 (forall ((V_p $$unsorted) (V_m $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_p) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_p) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_p) (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a993 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a994 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a995 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_b))) (= V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)) (= V_a V_b))))
% 1.67/1.91  (assume a996 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a)) V_b) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) V_c T_a)))))
% 1.67/1.91  (assume a997 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Oone__class_Oone T_a)) V_a))))
% 1.67/1.91  (assume a998 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oone__class_Oone T_a)) V_a) V_a))))
% 1.67/1.91  (assume a999 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oone__class_Oone T_a)) V_a) V_a))))
% 1.67/1.91  (assume a1000 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oone__class_Oone T_a)) V_x) V_x))))
% 1.67/1.91  (assume a1001 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Oone__class_Oone T_a)) V_a))))
% 1.67/1.91  (assume a1002 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oone__class_Oone T_a)) V_a) V_a))))
% 1.67/1.91  (assume a1003 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y))))))
% 1.67/1.91  (assume a1004 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_c))))))
% 1.67/1.91  (assume a1005 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_e)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_e)) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_e)) V_c)))))
% 1.67/1.91  (assume a1006 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a)) V_c T_a)))))
% 1.67/1.91  (assume a1007 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a)) V_b) V_c T_a)))))
% 1.67/1.91  (assume a1008 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a)) V_z) (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_z) V_y T_a)))))
% 1.67/1.91  (assume a1009 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (= V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1010 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1011 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1012 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1013 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1014 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_c T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1015 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)))))
% 1.67/1.91  (assume a1016 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_c T_a)))))
% 1.67/1.91  (assume a1017 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1018 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= V_a (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1019 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1020 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.67/1.91  (assume a1021 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a)) V_z) (tptp.c_HOL_Ouminus__class_Ouminus V_z T_a)))))
% 1.67/1.91  (assume a1022 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_z) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a)) (tptp.c_HOL_Ouminus__class_Ouminus V_z T_a)))))
% 1.67/1.91  (assume a1023 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a)) (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a))) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1024 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted) (V_h $$unsorted)) (or (not (tptp.class_RealVector_Oreal__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_d) T_a) V_h T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_b V_d T_a) V_h T_a))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_a V_c T_a) V_h T_a)) V_d))))))
% 1.67/1.91  (assume a1025 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_w) V_y) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_z) T_a)) (= V_z (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1026 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_e)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_e)) V_d) T_a) (not (tptp.c_lessequals V_c (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a)) V_e)) V_d) T_a)))))
% 1.67/1.91  (assume a1027 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals V_c (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a)) V_e)) V_d) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_e)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_e)) V_d) T_a)))))
% 1.67/1.91  (assume a1028 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_e)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_e)) V_d) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a)) V_e)) V_c) V_d T_a)))))
% 1.67/1.91  (assume a1029 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a)) V_e)) V_c) V_d T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_e)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_e)) V_d) T_a)))))
% 1.67/1.91  (assume a1030 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a)))))
% 1.67/1.91  (assume a1031 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_b_H $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b_H V_c T_a))) (not (= (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_a_H V_c T_a))) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a_H V_b_H T_a) V_c T_a)))))
% 1.67/1.91  (assume a1032 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 1.67/1.91  (assume a1033 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) V_b T_a) V_c T_a)))))
% 1.67/1.91  (assume a1034 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 1.67/1.91  (assume a1035 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) T_a)))))
% 1.67/1.91  (assume a1036 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y_H V_x_H T_a) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.67/1.91  (assume a1037 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals V_y_H V_x_H T_a)))))
% 1.67/1.91  (assume a1038 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.67/1.91  (assume a1039 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) V_ya T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Odivide V_x V_ya T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_ya T_a) T_a)))))
% 1.67/1.91  (assume a1040 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1041 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1042 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 1.67/1.91  (assume a1043 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1044 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1045 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a)) V_b) V_a))))
% 1.67/1.91  (assume a1046 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a V_b))))
% 1.67/1.91  (assume a1047 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a V_b))))
% 1.67/1.91  (assume a1048 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x V_y))))
% 1.67/1.91  (assume a1049 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_d) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a)) (tptp.c_HOL_Ominus__class_Ominus V_c V_d T_a))))))
% 1.67/1.91  (assume a1050 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) V_b T_a) V_a))))
% 1.67/1.91  (assume a1051 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a)))))
% 1.67/1.91  (assume a1052 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) T_a) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1053 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1054 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) T_a))))
% 1.67/1.91  (assume a1055 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1056 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_n) T_a)))))
% 1.67/1.91  (assume a1057 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1058 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_n) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.67/1.91  (assume a1059 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oone__class_Oone T_a) T_a)) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))))))
% 1.67/1.91  (assume a1060 (forall ((T_a $$unsorted)) (or (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_Power_Opower_Opower (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Otimes__class_Otimes T_a) T_a)))))
% 1.67/1.91  (assume a1061 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_n) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a1062 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 V_w) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))))))
% 1.67/1.91  (assume a1063 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a1064 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) T_a)))))
% 1.67/1.91  (assume a1065 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_x (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1066 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a)) V_x) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat))))
% 1.67/1.91  (assume a1067 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 V_w) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))))))
% 1.67/1.91  (assume a1068 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin))
% 1.67/1.91  (assume a1069 (forall ((V_k $$unsorted)) (or (not (= (tptp.c_Int_OBit1 V_k) tptp.c_Int_OMin)) (= V_k tptp.c_Int_OMin))))
% 1.67/1.91  (assume a1070 (forall ((V_l $$unsorted)) (or (not (= tptp.c_Int_OMin (tptp.c_Int_OBit1 V_l))) (= tptp.c_Int_OMin V_l))))
% 1.67/1.91  (assume a1071 (forall ((V_k1 $$unsorted) (V_k2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit1 V_k1) (tptp.c_Int_OBit1 V_k2) tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless V_k1 V_k2 tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1072 (forall ((V_k1 $$unsorted) (V_k2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_k1 V_k2 tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit1 V_k1) (tptp.c_Int_OBit1 V_k2) tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1073 (forall ((V_k $$unsorted) (V_l $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit1 V_k) (tptp.c_Int_OBit1 V_l) tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless V_k V_l tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1074 (forall ((V_k $$unsorted) (V_l $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_k V_l tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit1 V_k) (tptp.c_Int_OBit1 V_l) tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1075 (= tptp.c_Int_OMin (tptp.c_Int_OBit1 tptp.c_Int_OMin)))
% 1.67/1.91  (assume a1076 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_n V_m tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP tptp.c_Suc V_n) (tptp.hAPP tptp.c_Suc V_m) tptp.tc_nat)))))
% 1.67/1.91  (assume a1077 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP tptp.c_Suc V_n) (tptp.hAPP tptp.c_Suc V_m) tptp.tc_nat) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a1078 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP tptp.c_Suc (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat)) V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1079 (forall ((V_n $$unsorted)) (not (tptp.c_lessequals (tptp.hAPP tptp.c_Suc V_n) V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1080 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP tptp.c_Suc V_m) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1081 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_m (tptp.hAPP tptp.c_Suc V_n) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1082 (forall ((V_nat_H $$unsorted)) (not (= (tptp.hAPP tptp.c_Suc V_nat_H) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1083 (forall ((V_m $$unsorted)) (not (= (tptp.hAPP tptp.c_Suc V_m) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1084 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.hAPP tptp.c_Suc V_n)) (tptp.hAPP (tptp.hAPP V_times V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) V_n)))))
% 1.67/1.91  (assume a1085 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) (tptp.hAPP tptp.c_Suc V_n)) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n)))))
% 1.67/1.91  (assume a1086 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_m)) V_n) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n)))))
% 1.67/1.91  (assume a1087 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_m)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) (tptp.hAPP tptp.c_Suc V_n)))))
% 1.67/1.91  (assume a1088 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m (tptp.hAPP tptp.c_Suc V_n)) (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals V_m (tptp.hAPP tptp.c_Suc V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1089 (forall ((V_pwr $$unsorted) (V_x $$unsorted) (V_n $$unsorted) (V_mul $$unsorted) (V_add $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_pwr V_x) (tptp.hAPP tptp.c_Suc V_n)) (tptp.hAPP (tptp.hAPP V_mul V_x) (tptp.hAPP (tptp.hAPP V_pwr V_x) V_n))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a1090 (forall ((V_pwr $$unsorted) (V_x $$unsorted) (V_q $$unsorted) (V_mul $$unsorted) (V_add $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_pwr V_x) (tptp.hAPP tptp.c_Suc V_q)) (tptp.hAPP (tptp.hAPP V_mul V_x) (tptp.hAPP (tptp.hAPP V_pwr V_x) V_q))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a1091 (forall ((V_mul $$unsorted) (V_pwr $$unsorted) (V_x $$unsorted) (V_q $$unsorted) (V_add $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_pwr V_x) V_q)) V_x) (tptp.hAPP (tptp.hAPP V_pwr V_x) (tptp.hAPP tptp.c_Suc V_q))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a1092 (forall ((V_mul $$unsorted) (V_x $$unsorted) (V_pwr $$unsorted) (V_q $$unsorted) (V_add $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul V_x) (tptp.hAPP (tptp.hAPP V_pwr V_x) V_q)) (tptp.hAPP (tptp.hAPP V_pwr V_x) (tptp.hAPP tptp.c_Suc V_q))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a1093 (forall ((V_a $$unsorted)) (= (tptp.c_FFT__Mirabelle_OFFT (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_a) V_a)))
% 1.67/1.91  (assume a1094 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) T_a) T_a) T_a))))
% 1.67/1.91  (assume a1095 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) T_a))))
% 1.67/1.91  (assume a1096 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.67/1.91  (assume a1097 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1098 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1099 (forall ((V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv V_n (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1100 (forall ((V_m $$unsorted)) (or (not (= (tptp.c_Divides_Odiv__class_Omod V_m (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod V_m (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat) tptp.tc_nat))))
% 1.67/1.91  (assume a1101 (forall ((V_m $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod V_m (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod V_m (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a1102 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) V_n)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))))))
% 1.67/1.91  (assume a1103 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_m) V_n) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_n T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_m T_a)))))
% 1.67/1.91  (assume a1104 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1105 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1106 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.67/1.91  (assume a1107 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.67/1.91  (assume a1108 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 1.67/1.91  (assume a1109 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a1110 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.67/1.91  (assume a1111 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1112 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 1.67/1.91  (assume a1113 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a1114 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.67/1.91  (assume a1115 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1116 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a1117 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) (tptp.c_HOL_Oabs__class_Oabs V_b T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_d) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_b T_a) V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_c T_a)))))
% 1.67/1.91  (assume a1118 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1119 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a1120 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a)))))
% 1.67/1.91  (assume a1121 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_a) T_a)))))
% 1.67/1.91  (assume a1122 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1123 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a1124 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a1125 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a)))))
% 1.67/1.91  (assume a1126 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a)))))
% 1.67/1.91  (assume a1127 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1128 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a)))))
% 1.67/1.91  (assume a1129 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a)))))
% 1.67/1.91  (assume a1130 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a)))))
% 1.67/1.91  (assume a1131 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a)))))
% 1.67/1.91  (assume a1132 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_x T_a) (tptp.c_Int_Onumber__class_Onumber__of V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1133 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_x T_a) (tptp.c_Int_Onumber__class_Onumber__of V_y T_a) T_a)))))
% 1.67/1.91  (assume a1134 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.class_Int_Onumber T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a) T_a)) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_v T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.67/1.91  (assume a1135 (forall ((T_a $$unsorted) (V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_v T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a) T_a))))
% 1.67/1.91  (assume a1136 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_r T_a) V_x T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_x V_a T_a) T_a) V_r T_a)))))
% 1.67/1.91  (assume a1137 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a1138 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1139 (forall ((T_a $$unsorted) (V_v $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a)) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a)) V_c))))))
% 1.67/1.91  (assume a1140 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a)))))))
% 1.67/1.91  (assume a1141 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_a T_a)) (tptp.c_HOL_Ominus__class_Ominus V_y V_b T_a))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_a T_a)) V_b))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Ominus__class_Ominus V_y V_b T_a)))))))
% 1.67/1.91  (assume a1142 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_e)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a)) V_e)) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_e)) V_d)))))
% 1.67/1.91  (assume a1143 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_e)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_e)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a)) V_e)) V_c))))))
% 1.67/1.91  (assume a1144 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_e)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_e)) V_d))) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a)) V_e)) V_c) V_d))))
% 1.67/1.91  (assume a1145 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_e)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_e)) V_d))) (= V_c (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a)) V_e)) V_d)))))
% 1.67/1.91  (assume a1146 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1147 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a1148 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) (= V_m V_n))))
% 1.67/1.91  (assume a1149 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit1 tptp.c_Int_OPls) V_y tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Int_Onumber__class_Onumber__of V_y T_a) T_a)))))
% 1.67/1.91  (assume a1150 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Int_Onumber__class_Onumber__of V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit1 tptp.c_Int_OPls) V_y tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1151 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_Int_OBit1 tptp.c_Int_OPls) tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a)))))
% 1.67/1.91  (assume a1152 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_Int_OBit1 tptp.c_Int_OPls) tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1153 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))))))
% 1.67/1.91  (assume a1154 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_p $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_p)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_q)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_p) V_q))))))
% 1.67/1.91  (assume a1155 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Int_Oring__char__0 T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (tptp.c_Int_Oiszero (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 V_w) T_a) T_a)))))
% 1.67/1.91  (assume a1156 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls T_a)) V_a))))
% 1.67/1.91  (assume a1157 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls T_a)) V_a) V_a))))
% 1.67/1.91  (assume a1158 (forall ((T_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_Int_Oiszero (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls T_a) T_a))))
% 1.67/1.91  (assume a1159 (forall ((T_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1160 (forall ((T_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls T_a)))))
% 1.67/1.91  (assume a1161 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Int_Oring__char__0 T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_Int_Oiszero (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 V_w) T_a) T_a) (not (tptp.c_Int_Oiszero (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.67/1.91  (assume a1162 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Int_Oring__char__0 T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_Int_Oiszero (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_Int_Oiszero (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 V_w) T_a) T_a)))))
% 1.67/1.91  (assume a1163 (forall ((T_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (tptp.c_HOL_Oone__class_Oone T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) T_a)))))
% 1.67/1.91  (assume a1164 (forall ((V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_k tptp.c_Int_OPls tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit1 V_k) tptp.c_Int_OPls tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1165 (forall ((V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit1 V_k) tptp.c_Int_OPls tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless V_k tptp.c_Int_OPls tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1166 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.hAPP tptp.c_Suc V_n)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1167 (forall ((V_k $$unsorted) (V_l $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_k V_l tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit1 V_k) (tptp.c_Int_OBit0 V_l) tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1168 (forall ((V_k $$unsorted) (V_l $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit1 V_k) (tptp.c_Int_OBit0 V_l) tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless V_k V_l tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1169 (forall ((V_k1 $$unsorted) (V_k2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_k1 V_k2 tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit1 V_k1) (tptp.c_Int_OBit0 V_k2) tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1170 (forall ((V_k1 $$unsorted) (V_k2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit1 V_k1) (tptp.c_Int_OBit0 V_k2) tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless V_k1 V_k2 tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1171 (forall ((V_n $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_n) tptp.tc_nat)))
% 1.67/1.91  (assume a1172 (forall ((V_x $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_x) tptp.tc_nat)))
% 1.67/1.91  (assume a1173 (forall ((V_x $$unsorted)) (or (= V_x (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) tptp.tc_nat)))))
% 1.67/1.91  (assume a1174 (forall ((V_n $$unsorted)) (or (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)))))
% 1.67/1.91  (assume a1175 (forall ((V_m $$unsorted) (V_x $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_m (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_x)) tptp.tc_nat)))
% 1.67/1.91  (assume a1176 (forall ((V_i $$unsorted) (V_m $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_i)) tptp.tc_nat)))
% 1.67/1.91  (assume a1177 (forall ((V_i $$unsorted) (V_m $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_m)) tptp.tc_nat)))
% 1.67/1.91  (assume a1178 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP tptp.c_Suc V_n) V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a1179 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP tptp.c_Suc V_n) V_m tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a1180 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP tptp.c_Suc V_m) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1181 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP tptp.c_Suc V_m) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1182 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m (tptp.hAPP tptp.c_Suc V_n) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1183 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.hAPP tptp.c_Suc V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1184 (forall ((V_x $$unsorted)) (or (not (tptp.c_lessequals V_x V_x tptp.tc_nat)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.hAPP tptp.c_Suc V_x) tptp.tc_nat))))
% 1.67/1.91  (assume a1185 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))
% 1.67/1.91  (assume a1186 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (= V_n V_m) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.hAPP tptp.c_Suc V_m) tptp.tc_nat)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1187 (forall ((V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_k tptp.c_Int_OPls tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit0 V_k) tptp.c_Int_OPls tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1188 (forall ((V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit0 V_k) tptp.c_Int_OPls tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless V_k tptp.c_Int_OPls tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1189 (forall ((V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OPls V_k tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OPls (tptp.c_Int_OBit0 V_k) tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1190 (forall ((V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OPls (tptp.c_Int_OBit0 V_k) tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OPls V_k tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1191 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc V_m))) V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_m) V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1192 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Divides_Odiv__class_Odiv V_m (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc V_n))) tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n) tptp.tc_nat))))
% 1.67/1.91  (assume a1193 (forall ((V_N $$unsorted)) (tptp.c_Fun_Oinj__on tptp.c_Suc V_N tptp.tc_nat tptp.tc_nat)))
% 1.67/1.91  (assume a1194 (forall ((V_nat_H $$unsorted)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_nat_H)))))
% 1.67/1.91  (assume a1195 (forall ((V_m $$unsorted)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_m)))))
% 1.67/1.91  (assume a1196 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat))) (= (tptp.hAPP tptp.c_Suc (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat)) V_n))))
% 1.67/1.91  (assume a1197 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP tptp.c_Suc V_n) V_m tptp.tc_nat) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1198 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP tptp.c_Suc V_n) V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a1199 (forall ((V_n $$unsorted)) (tptp.c_lessequals (tptp.hAPP tptp.c_Suc V_n) (tptp.hAPP tptp.c_Suc V_n) tptp.tc_nat)))
% 1.67/1.91  (assume a1200 (forall ((V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP tptp.c_Suc V_x) tptp.tc_nat)))))
% 1.67/1.91  (assume a1201 (forall ((V_x $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP tptp.c_Suc V_x) tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat))))
% 1.67/1.91  (assume a1202 (not (= tptp.c_Int_OPls tptp.c_Int_OMin)))
% 1.67/1.91  (assume a1203 (not (= tptp.c_Int_OMin tptp.c_Int_OPls)))
% 1.67/1.91  (assume a1204 (not (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OPls tptp.c_Int_OPls tptp.tc_Int_Oint)))
% 1.67/1.91  (assume a1205 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Suc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) (tptp.hAPP tptp.c_Suc V_n)) T_a)))))
% 1.67/1.91  (assume a1206 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Suc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) (tptp.hAPP tptp.c_Suc V_n)))) (= V_a V_b) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a1207 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) V_a))))
% 1.67/1.91  (assume a1208 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) V_x))))
% 1.67/1.91  (assume a1209 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oone__class_Oone T_a)) V_n) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a1210 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a)) V_n)))))
% 1.67/1.91  (assume a1211 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1212 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1213 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)) V_n) (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_n) T_a)))))
% 1.67/1.91  (assume a1214 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) V_n)))))
% 1.67/1.91  (assume a1215 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1216 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1217 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_j) V_k) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1218 (forall ((V_i $$unsorted) (V_j $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_j) V_i tptp.tc_nat))))
% 1.67/1.91  (assume a1219 (forall ((V_j $$unsorted) (V_i $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_j) V_i) V_i tptp.tc_nat))))
% 1.67/1.91  (assume a1220 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))
% 1.67/1.91  (assume a1221 (forall ((V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1222 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals V_x V_y tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat)))))
% 1.67/1.91  (assume a1223 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1224 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted) (V_l $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_j) V_l) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_k V_l tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1225 (forall ((V_m $$unsorted) (V_l $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_l) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_n))) (not (tptp.c_HOL_Oord__class_Oless V_k V_l tptp.tc_nat)) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1226 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 1.67/1.91  (assume a1227 (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 1.67/1.91  (assume a1228 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (= V_m V_n) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1229 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1230 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (= V_m V_n) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1231 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) V_m) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1232 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_y) V_z) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat)))))
% 1.67/1.91  (assume a1233 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_y) V_z) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_x V_z tptp.tc_nat)))))
% 1.67/1.91  (assume a1234 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_j) V_k tptp.tc_nat)))))
% 1.67/1.91  (assume a1235 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_j) V_m) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1236 (forall ((V_i $$unsorted) (V_m $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_j) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1237 (forall ((V_l $$unsorted)) (not (= tptp.c_Int_OMin (tptp.c_Int_OBit0 V_l)))))
% 1.67/1.91  (assume a1238 (forall ((V_k $$unsorted)) (not (= (tptp.c_Int_OBit0 V_k) tptp.c_Int_OMin))))
% 1.67/1.91  (assume a1239 (forall ((V_k1 $$unsorted) (V_k2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit0 V_k1) (tptp.c_Int_OBit0 V_k2) tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless V_k1 V_k2 tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1240 (forall ((V_k1 $$unsorted) (V_k2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_k1 V_k2 tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit0 V_k1) (tptp.c_Int_OBit0 V_k2) tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1241 (forall ((V_k $$unsorted) (V_l $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit0 V_k) (tptp.c_Int_OBit0 V_l) tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless V_k V_l tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1242 (forall ((V_k $$unsorted) (V_l $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_k V_l tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_OBit0 V_k) (tptp.c_Int_OBit0 V_l) tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1243 (forall ((V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv V_n (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1244 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a)) V_a)))))
% 1.67/1.91  (assume a1245 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat)) (tptp.c_Int_Onumber__class_Onumber__of V_v_H tptp.tc_nat)) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_v_H tptp.c_Int_OPls tptp.tc_Int_Oint)) (tptp.c_HOL_Oord__class_Oless V_v tptp.c_Int_OPls tptp.tc_Int_Oint))))
% 1.67/1.91  (assume a1246 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat)) (tptp.c_Int_Onumber__class_Onumber__of V_v_H tptp.tc_nat)) (tptp.c_Int_Onumber__class_Onumber__of V_v_H tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_v tptp.c_Int_OPls tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1247 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oabs__class_Oabs V_x T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat))) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a1248 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1249 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1250 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1251 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 1.67/1.91  (assume a1252 (forall ((V_q $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (= V_q (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) (tptp.hAPP tptp.c_Suc V_q)) tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_q) V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1253 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a1254 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n)) V_m)) V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP tptp.c_Suc V_m) V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1255 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_m tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1256 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1257 (forall ((V_xa $$unsorted)) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) V_xa) tptp.tc_nat)))
% 1.67/1.91  (assume a1258 (forall ((V_xa $$unsorted)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) V_xa)) tptp.tc_nat))))
% 1.67/1.91  (assume a1259 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_j)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_i)) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_j) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_k) T_a)) V_i)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1260 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_m) V_n tptp.tc_nat) V_m) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1261 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) V_n tptp.tc_nat) V_m) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1262 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n) tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.67/1.91  (assume a1263 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n) tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat))))
% 1.67/1.91  (assume a1264 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_k) tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat))))
% 1.67/1.91  (assume a1265 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.67/1.91  (assume a1266 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n) tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.67/1.91  (assume a1267 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1268 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_k) tptp.tc_nat)))))
% 1.67/1.91  (assume a1269 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1270 (forall ((V_m $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_k) (tptp.hAPP tptp.c_Suc V_j) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1271 (forall ((V_j $$unsorted) (V_k $$unsorted) (V_m $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat)) V_m tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.c_Suc V_j) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_m) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1272 (forall ((V_n $$unsorted)) (or (= (tptp.c_Fact_Ofact__class_Ofact V_n tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) (tptp.c_Fact_Ofact__class_Ofact (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1273 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n))) (= V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))))
% 1.67/1.91  (assume a1274 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n))) (= V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))))
% 1.67/1.91  (assume a1275 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven V_y tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_x) V_y) tptp.tc_nat)))))
% 1.67/1.91  (assume a1276 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (= (tptp.c_Divides_Odiv__class_Odiv V_a (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_b) V_c) tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_Divides_Odiv__class_Odiv V_a V_b tptp.tc_nat) V_c tptp.tc_nat))))
% 1.67/1.91  (assume a1277 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a1278 (forall ((V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a1279 (forall ((V_w $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_z $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_w) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_w) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_x) V_y)))) (= V_y V_z) (= V_w V_x))))
% 1.67/1.91  (assume a1280 (forall ((V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_b) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_a) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_b) V_c)))) (= V_c V_d) (= V_a V_b))))
% 1.67/1.91  (assume a1281 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n))) (= V_m V_n) (= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1282 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n))) (= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_m V_n))))
% 1.67/1.91  (assume a1283 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_k))) (= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_m V_n))))
% 1.67/1.91  (assume a1284 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_x) V_y) tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)))))
% 1.67/1.91  (assume a1285 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_x) V_y) tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_y tptp.tc_nat)))))
% 1.67/1.91  (assume a1286 (forall ((V_pwr $$unsorted) (V_x $$unsorted) (V_p $$unsorted) (V_q $$unsorted) (V_add $$unsorted) (V_mul $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_pwr (tptp.hAPP (tptp.hAPP V_pwr V_x) V_p)) V_q) (tptp.hAPP (tptp.hAPP V_pwr V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_p) V_q))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a1287 (forall ((V_m $$unsorted)) (tptp.c_lessequals V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_m)) tptp.tc_nat)))
% 1.67/1.91  (assume a1288 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted) (V_l $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_l) tptp.tc_nat) (not (tptp.c_lessequals V_k V_l tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1289 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n)) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_k)))))
% 1.67/1.91  (assume a1290 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n)))))
% 1.67/1.91  (assume a1291 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_k) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1292 (forall ((V_k $$unsorted) (V_i $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_j) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1293 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc V_m))) V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_m) V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1294 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod V_m (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc V_n))) tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n) tptp.tc_nat))))
% 1.67/1.91  (assume a1295 (forall ((V_m $$unsorted) (V_v $$unsorted)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc V_m))) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat) tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_m) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat) tptp.tc_nat))))
% 1.67/1.91  (assume a1296 (forall ((V_m $$unsorted) (V_v $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc V_m))) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat) tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_m) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat) tptp.tc_nat))))
% 1.67/1.91  (assume a1297 (forall ((V_minus $$unsorted) (V_uminus $$unsorted) (V_x $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_x V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_x))))
% 1.67/1.91  (assume a1298 (forall ((V_x $$unsorted) (V_zero $$unsorted) (V_less__eq $$unsorted) (V_plus $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (= V_x V_zero) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_plus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))) V_zero))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1299 (forall ((V_y $$unsorted) (V_zero $$unsorted) (V_less__eq $$unsorted) (V_plus $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (= V_y V_zero) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_plus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))) V_zero))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1300 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_uminus $$unsorted) (V_a $$unsorted) (V_minus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) (tptp.hAPP V_uminus V_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (not (tptp.c_Ring__and__Field_Ocomm__ring__1 V_one V_times V_minus V_uminus V_zero V_plus T_a)))))
% 1.67/1.91  (assume a1301 (forall ((V_n $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Divides_Odiv__class_Omod V_n (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) tptp.tc_nat) tptp.tc_nat) tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1302 (forall ((V_n $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Divides_Odiv__class_Omod V_n (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) tptp.tc_nat) tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a1303 (forall ((V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus (tptp.hAPP (tptp.hAPP V_plus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)) (= V_x (tptp.hAPP (tptp.hAPP V_plus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))))))
% 1.67/1.91  (assume a1304 (forall ((V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus (tptp.hAPP (tptp.hAPP V_plus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)) (= V_y (tptp.hAPP (tptp.hAPP V_plus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))))))
% 1.67/1.91  (assume a1305 (forall ((V_less__eq $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) (tptp.hAPP (tptp.hAPP V_plus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1306 (forall ((V_minus $$unsorted) (V_uminus $$unsorted) (V_x $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_x V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq (tptp.hAPP (tptp.hAPP V_plus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))) V_x)))))
% 1.67/1.91  (assume a1307 (forall ((V_less__eq $$unsorted) (V_zero $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1308 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP V_times V_a) V_a)) (not (tptp.c_OrderedGroup_Omonoid__mult V_one V_times T_a)))))
% 1.67/1.91  (assume a1309 (forall ((V_minus $$unsorted) (V_uminus $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)) (= V_a (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))))))
% 1.67/1.91  (assume a1310 (forall ((V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_sgn $$unsorted)) (or (= (tptp.hAPP V_abs (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1311 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_abs $$unsorted) (V_a $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_sgn $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) (tptp.hAPP V_abs V_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1312 (forall ((V_minus $$unsorted) (V_uminus $$unsorted) (V_x $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (V_sgn $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_x V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)) (= (tptp.hAPP (tptp.hAPP V_plus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) V_x))))
% 1.67/1.91  (assume a1313 (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))
% 1.67/1.91  (assume a1314 (forall ((V_less $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) V_zero))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1315 (forall ((V_less $$unsorted) (V_x $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_x V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1316 (forall ((V_less $$unsorted) (V_plus $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP V_plus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))) V_zero))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1317 (forall ((V_less $$unsorted) (V_x $$unsorted) (V_plus $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_x) (tptp.hAPP (tptp.hAPP V_plus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_x V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1318 (forall ((V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_m) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat) V_m)))
% 1.67/1.91  (assume a1319 (forall ((V_less $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) (tptp.hAPP (tptp.hAPP V_plus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))))) (= V_x V_zero) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1320 (forall ((V_less $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) (tptp.hAPP (tptp.hAPP V_plus (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))))) (= V_y V_zero) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1321 (forall ((V_less $$unsorted) (V_zero $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_zero) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))) (= V_a V_zero) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1322 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))
% 1.67/1.91  (assume a1323 (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls tptp.tc_nat)))
% 1.67/1.91  (assume a1324 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1325 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_v V_v_H tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a1326 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) V_n)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))))))
% 1.67/1.91  (assume a1327 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_k)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_k)) V_n) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1328 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_k)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_k)) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1329 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_n (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 1.67/1.91  (assume a1330 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_m (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 1.67/1.91  (assume a1331 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_m)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n)))))
% 1.67/1.91  (assume a1332 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) (tptp.hAPP tptp.c_Suc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n)))))
% 1.67/1.91  (assume a1333 (forall ((V_x $$unsorted)) (= (tptp.c_Fact_Ofact__class_Ofact (tptp.hAPP tptp.c_Suc V_x) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_x)) (tptp.c_Fact_Ofact__class_Ofact V_x tptp.tc_nat)))))
% 1.67/1.91  (assume a1334 (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a1335 (forall ((V_v $$unsorted)) (or (= (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a1336 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_k) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.67/1.91  (assume a1337 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.67/1.91  (assume a1338 (forall ((V_k $$unsorted) (V_i $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_j) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1339 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_k) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1340 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n) tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.67/1.91  (assume a1341 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.67/1.91  (assume a1342 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1343 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1344 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_k) tptp.tc_nat)))))
% 1.67/1.91  (assume a1345 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1346 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)) (= V_m V_n))))
% 1.67/1.91  (assume a1347 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a1348 (forall ((V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.c_Suc V_n) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_n)))
% 1.67/1.91  (assume a1349 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a1350 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.hAPP tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1351 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat)))))
% 1.67/1.91  (assume a1352 (forall ((V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_c tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_b V_c tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_c V_a tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b tptp.tc_nat)))))
% 1.67/1.91  (assume a1353 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_n tptp.tc_nat)) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1354 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1355 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_m tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a1356 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a1357 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a1358 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_k) V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1359 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_k) V_j tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a1360 (forall ((V_P $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless V_a V_b tptp.tc_nat)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ominus__class_Ominus V_a V_b tptp.tc_nat)))))))
% 1.67/1.91  (assume a1361 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven__odd__class_Oeven V_y tptp.tc_nat)) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a1362 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)) (tptp.c_Parity_Oeven__odd__class_Oeven V_y tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a1363 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_m tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1364 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)) V_m) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1365 (forall ((V_x $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1366 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) V_n) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1367 (forall ((V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) V_m) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1368 (forall ((V_x $$unsorted) (V_m $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_x) V_m) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_x (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1369 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_i $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_i) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_i) V_n) tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_i tptp.tc_nat)))))
% 1.67/1.91  (assume a1370 (forall ((V_x $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_x tptp.tc_nat) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_x) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1371 (forall ((V_n $$unsorted) (V_x $$unsorted)) (or (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_x tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_x) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1372 (forall ((V_x $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)))
% 1.67/1.91  (assume a1373 (forall ((V_x $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_x) V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_x tptp.tc_nat)))))
% 1.67/1.91  (assume a1374 (forall ((T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_r T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_r (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) T_a) T_a) T_a)))))
% 1.67/1.91  (assume a1375 (forall ((T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_r (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_r T_a)))))
% 1.67/1.91  (assume a1376 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))) (= V_x V_y) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.67/1.91  (assume a1377 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) T_a))))
% 1.67/1.91  (assume a1378 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1379 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1380 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) T_a)))))
% 1.67/1.91  (assume a1381 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1382 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) V_n)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (not (tptp.c_OrderedGroup_Omonoid__mult V_one V_times T_a)))))
% 1.67/1.91  (assume a1383 (forall ((V_less__eq $$unsorted) (V_zero $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1384 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_uminus $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_minus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) (tptp.hAPP V_uminus V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n))) (not (tptp.c_Ring__and__Field_Ocomm__ring__1 V_one V_times V_minus V_uminus V_zero V_plus T_a)))))
% 1.67/1.91  (assume a1385 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_uminus $$unsorted) (V_n $$unsorted) (V_minus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) (tptp.hAPP V_uminus V_one)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)) V_one) (not (tptp.c_Ring__and__Field_Ocomm__ring__1 V_one V_times V_minus V_uminus V_zero V_plus T_a)))))
% 1.67/1.91  (assume a1386 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a)) V_e)) V_c) V_d T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_e)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_e)) V_d) T_a)))))
% 1.67/1.91  (assume a1387 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_e)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_e)) V_d) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a)) V_e)) V_c) V_d T_a)))))
% 1.67/1.91  (assume a1388 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a)) V_e)) V_d) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_e)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_e)) V_d) T_a)))))
% 1.67/1.91  (assume a1389 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_e)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_e)) V_d) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a)) V_e)) V_d) T_a)))))
% 1.67/1.91  (assume a1390 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.67/1.91  (assume a1391 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.67/1.91  (assume a1392 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Suc V_n)) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.67/1.91  (assume a1393 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1394 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_k) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1395 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n))))
% 1.67/1.91  (assume a1396 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1397 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1398 (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat))))
% 1.67/1.91  (assume a1399 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) V_n) V_n)))
% 1.67/1.91  (assume a1400 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) V_n)))
% 1.67/1.91  (assume a1401 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_x) V_y)))))
% 1.67/1.91  (assume a1402 (forall ((V_x $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_x) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_x) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_x) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_x) V_c)))))
% 1.67/1.91  (assume a1403 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat))) (= V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))))
% 1.67/1.91  (assume a1404 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat))) (= V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))))
% 1.67/1.91  (assume a1405 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_i) V_j)) V_u)) V_k))))
% 1.67/1.91  (assume a1406 (forall ((V_m $$unsorted)) (tptp.c_lessequals V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_m) tptp.tc_nat)))
% 1.67/1.91  (assume a1407 (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))
% 1.67/1.91  (assume a1408 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat)) V_k) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_k) tptp.tc_nat))))
% 1.67/1.91  (assume a1409 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat)) (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n) tptp.tc_nat))))
% 1.67/1.91  (assume a1410 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) tptp.tc_nat))))
% 1.67/1.91  (assume a1411 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat)) V_n) (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) tptp.tc_nat))))
% 1.67/1.91  (assume a1412 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) V_n) tptp.tc_nat) (not (tptp.c_lessequals V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat)) V_u)) V_n) tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1413 (forall ((V_m $$unsorted) (V_j $$unsorted) (V_i $$unsorted) (V_u $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat)) V_u)) V_n) tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) V_n) tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1414 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) V_n) tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat)) V_u)) V_m) V_n tptp.tc_nat)) (not (tptp.c_lessequals V_j V_i tptp.tc_nat)))))
% 1.67/1.91  (assume a1415 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat)) V_u)) V_m) V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) V_n) tptp.tc_nat)) (not (tptp.c_lessequals V_j V_i tptp.tc_nat)))))
% 1.67/1.91  (assume a1416 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_u $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals V_i V_j tptp.tc_nat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat)) V_u)) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) V_n)))))
% 1.67/1.91  (assume a1417 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv V_m V_n tptp.tc_nat)) V_n) tptp.tc_nat))))
% 1.67/1.91  (assume a1418 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat)) V_u)) V_n) tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1419 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat)) V_u)) V_m) V_n tptp.tc_nat)) (not (tptp.c_lessequals V_j V_i tptp.tc_nat)))))
% 1.67/1.91  (assume a1420 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) V_n))) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)) (= V_m (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat)) V_u)) V_n)))))
% 1.67/1.91  (assume a1421 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) V_n))) (not (tptp.c_lessequals V_j V_i tptp.tc_nat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat)) V_u)) V_m) V_n))))
% 1.67/1.91  (assume a1422 (forall ((V_j $$unsorted) (V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_lessequals V_j V_i tptp.tc_nat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_u)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_j) V_u)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat)) V_u)) V_m))))))
% 1.67/1.91  (assume a1423 (forall ((V_P $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_b) V_d) V_b tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP V_P V_d)))))
% 1.67/1.91  (assume a1424 (forall ((V_P $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_b) V_x) V_b tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 1.67/1.91  (assume a1425 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1426 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) V_k) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1427 (forall ((V_n $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Ominus__class_Ominus V_n V_i tptp.tc_nat) tptp.tc_nat) V_i) (not (tptp.c_lessequals V_i V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1428 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (= (tptp.c_HOL_Ominus__class_Ominus V_n V_m tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (not (= (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_m V_n))))
% 1.67/1.91  (assume a1429 (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m V_m tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a1430 (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) V_m)))
% 1.67/1.91  (assume a1431 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a1432 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a1433 (forall ((V_m $$unsorted) (V_l $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_l tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_l tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1434 (forall ((V_l $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_l V_n tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_l V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1435 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_i (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_j) V_k) tptp.tc_nat))))
% 1.67/1.91  (assume a1436 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat))) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)) (= V_m V_n))))
% 1.67/1.91  (assume a1437 (forall ((V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a1438 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_nat) tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven V_y tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat))))
% 1.67/1.91  (assume a1439 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_nat) tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_y tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)))))
% 1.67/1.91  (assume a1440 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_m tptp.tc_nat)))
% 1.67/1.91  (assume a1441 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.67/1.91  (assume a1442 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) V_m) V_n tptp.tc_nat) V_m)))
% 1.67/1.91  (assume a1443 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) V_n tptp.tc_nat) V_m)))
% 1.67/1.91  (assume a1444 (forall ((V_i $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_i) V_n) tptp.tc_nat) (not (tptp.c_lessequals (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_i tptp.tc_nat)))))
% 1.67/1.91  (assume a1445 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_x) V_y) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_y tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)))))
% 1.67/1.91  (assume a1446 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_y tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_x) V_y) tptp.tc_nat)))))
% 1.67/1.91  (assume a1447 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_x) V_y) tptp.tc_nat)))))
% 1.67/1.91  (assume a1448 (forall ((V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_Divides_Odiv__class_Odiv V_n (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat))) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1449 (forall ((V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1450 (forall ((V_n $$unsorted)) (or (not (= (tptp.c_Divides_Odiv__class_Omod V_n (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) tptp.tc_nat) tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a1451 (forall ((V_n $$unsorted)) (or (not (= (tptp.c_Divides_Odiv__class_Omod V_n (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat))) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat) tptp.tc_nat))))
% 1.67/1.91  (assume a1452 (forall ((V_m $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod V_m (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) tptp.tc_nat) tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (= (tptp.c_Divides_Odiv__class_Omod V_m (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) tptp.tc_nat) tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (= (tptp.c_Divides_Odiv__class_Omod V_m (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (= (tptp.c_Divides_Odiv__class_Omod V_m (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1453 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus T_a) T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a)))))
% 1.67/1.91  (assume a1454 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)))))
% 1.67/1.91  (assume a1455 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a1456 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.67/1.91  (assume a1457 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)))))
% 1.67/1.91  (assume a1458 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)))))
% 1.67/1.91  (assume a1459 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a1460 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)))))
% 1.67/1.91  (assume a1461 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.67/1.91  (assume a1462 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.67/1.91  (assume a1463 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)))))
% 1.67/1.91  (assume a1464 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a1465 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.67/1.91  (assume a1466 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.67/1.91  (assume a1467 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.67/1.91  (assume a1468 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a)))))
% 1.67/1.91  (assume a1469 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)))))
% 1.67/1.91  (assume a1470 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.67/1.91  (assume a1471 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)))))
% 1.67/1.91  (assume a1472 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.67/1.91  (assume a1473 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.67/1.91  (assume a1474 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.67/1.91  (assume a1475 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)))))
% 1.67/1.91  (assume a1476 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)))))
% 1.67/1.91  (assume a1477 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_c) T_a)))))
% 1.67/1.91  (assume a1478 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)))))
% 1.67/1.91  (assume a1479 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)))))
% 1.67/1.91  (assume a1480 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)))))
% 1.67/1.91  (assume a1481 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)))))
% 1.67/1.91  (assume a1482 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a)))))
% 1.67/1.91  (assume a1483 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.67/1.91  (assume a1484 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a)))))
% 1.67/1.91  (assume a1485 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a)))))
% 1.67/1.91  (assume a1486 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a1487 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.c_Int_OPls tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1488 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_HOL_Oord__class_Oless V_x tptp.c_Int_OPls tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1489 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OPls V_y tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1490 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OPls V_y tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_y T_a) T_a)))))
% 1.67/1.91  (assume a1491 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (tptp.c_HOL_Oone__class_Oone T_a))) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 V_w) T_a)))))
% 1.67/1.91  (assume a1492 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Suc V_n)) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.67/1.91  (assume a1493 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.67/1.91  (assume a1494 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_N $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_N) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_n V_N tptp.tc_nat)))))
% 1.67/1.91  (assume a1495 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_y) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a)))))
% 1.67/1.91  (assume a1496 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_y) T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a)))))
% 1.67/1.91  (assume a1497 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1498 (forall ((T_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (not (tptp.c_Int_Oiszero (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) T_a) T_a)))))
% 1.67/1.91  (assume a1499 (forall ((T_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) T_a)))))
% 1.67/1.91  (assume a1500 (forall ((T_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a1501 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) T_a) T_a) V_a))))
% 1.67/1.91  (assume a1502 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_x (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) T_a) T_a) V_x))))
% 1.67/1.91  (assume a1503 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) T_a) T_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) T_a)))))
% 1.67/1.91  (assume a1504 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1505 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) T_a) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1506 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) T_a) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1507 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) T_a)))))
% 1.67/1.91  (assume a1508 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) T_a)))))
% 1.67/1.91  (assume a1509 (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) tptp.tc_nat)))
% 1.67/1.91  (assume a1510 (= (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))
% 1.67/1.91  (assume a1511 (forall ((V_v_H $$unsorted) (V_v $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OPls V_v_H tptp.tc_Int_Oint) (not (tptp.c_HOL_Oord__class_Oless V_v V_v_H tptp.tc_Int_Oint)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a1512 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_v V_v_H tptp.tc_Int_Oint)) (not (tptp.c_HOL_Oord__class_Oless tptp.c_Int_OPls V_v_H tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1513 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_uminus $$unsorted) (V_n $$unsorted) (V_minus $$unsorted) (V_zero $$unsorted) (V_plus $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) (tptp.hAPP V_uminus V_one)) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n))) (tptp.hAPP V_uminus V_one)) (not (tptp.c_Ring__and__Field_Ocomm__ring__1 V_one V_times V_minus V_uminus V_zero V_plus T_a)))))
% 1.67/1.91  (assume a1514 (forall ((V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n))) (tptp.hAPP (tptp.hAPP V_times V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) V_n)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))) (not (tptp.c_OrderedGroup_Omonoid__mult V_one V_times T_a)))))
% 1.67/1.91  (assume a1515 (forall ((V_less $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_zero $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less__eq $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)))) V_zero)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less V_a) V_zero))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1516 (forall ((V_less__eq $$unsorted) (V_zero $$unsorted) (V_a $$unsorted) (V_one $$unsorted) (V_times $$unsorted) (T_a $$unsorted) (V_n $$unsorted) (V_minus $$unsorted) (V_uminus $$unsorted) (V_plus $$unsorted) (V_less $$unsorted) (V_abs $$unsorted) (V_sgn $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq V_zero) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower V_one V_times T_a) V_a) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)))))) (not (tptp.c_Ring__and__Field_Oordered__idom V_minus V_uminus V_zero V_plus V_less__eq V_less V_abs V_one V_times V_sgn T_a)))))
% 1.67/1.91  (assume a1517 (forall ((V_n $$unsorted)) (or (= V_n (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.c_Parity_Osko__Parity__Xodd__Suc__mult__two__ex__1__1 V_n)))) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1518 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_lessequals (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_k)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1519 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)) T_a))))
% 1.67/1.91  (assume a1520 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a1521 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1522 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_m) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1523 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1524 (forall ((V_n $$unsorted)) (or (= (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) V_n) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1525 (forall ((V_n $$unsorted) (V_i $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.hAPP tptp.c_Suc V_i) tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1526 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_v_H tptp.c_Int_OPls tptp.tc_Int_Oint)))))
% 1.67/1.91  (assume a1527 (forall ((V_w $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) tptp.tc_nat))))
% 1.67/1.91  (assume a1528 (forall ((V_x $$unsorted) (V_w $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_x tptp.tc_nat) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) tptp.tc_nat)))))
% 1.67/1.91  (assume a1529 (forall ((V_x $$unsorted) (V_w $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) V_x) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat)) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_x tptp.tc_nat)))))
% 1.67/1.91  (assume a1530 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a1531 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n))) T_a)))))
% 1.67/1.91  (assume a1532 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oone__class_Oone T_a) T_a)))))
% 1.67/1.91  (assume a1533 (forall ((V_n $$unsorted)) (or (= (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1534 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_n $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.c_Suc V_n) V_p tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_HOL_Ominus__class_Ominus V_n V_p tptp.tc_nat))) V_y)) (not (tptp.c_lessequals V_p V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1535 (forall ((V_n $$unsorted)) (= (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc V_n))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n))))
% 1.67/1.91  (assume a1536 (= (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 1.67/1.91  (assume a1537 (= (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.67/1.91  (assume a1538 (forall ((V_mul $$unsorted) (V_x $$unsorted) (V_pwr $$unsorted) (V_add $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_mul V_x) V_x) (tptp.hAPP (tptp.hAPP V_pwr V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a1539 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Fact_Ofact__class_Ofact (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.c_Suc V_m) V_n tptp.tc_nat) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.c_Suc V_m) V_n tptp.tc_nat)) (tptp.c_Fact_Ofact__class_Ofact (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.hAPP tptp.c_Suc V_m) tptp.tc_nat)))))
% 1.67/1.91  (assume a1540 (forall ((V_d $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_d) V_n))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_d) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot V_n)) V_k)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_d tptp.tc_nat)))))
% 1.67/1.91  (assume a1541 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_z) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_z) V_z)))))
% 1.67/1.91  (assume a1542 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) T_a)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_z) V_z)))))
% 1.67/1.91  (assume a1543 (= (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))
% 1.67/1.91  (assume a1544 (forall ((V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc V_m)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod V_m (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat))))
% 1.67/1.91  (assume a1545 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc V_n)))))
% 1.67/1.91  (assume a1546 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n) (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc V_n)))))
% 1.67/1.91  (assume a1547 (forall ((V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc V_m)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_Divides_Odiv__class_Odiv V_m (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a1548 (= (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1549 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))))))
% 1.67/1.91  (assume a1550 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))))))
% 1.67/1.91  (assume a1551 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.67/1.91  (assume a1552 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))))))
% 1.67/1.91  (assume a1553 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1554 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1555 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1556 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat))
% 1.67/1.91  (assume a1557 (forall ((V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_z) V_z))))
% 1.67/1.91  (assume a1558 (forall ((V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_z) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_z) V_z))))
% 1.67/1.91  (assume a1559 (forall ((V_x $$unsorted)) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_x) tptp.tc_nat)))
% 1.67/1.91  (assume a1560 (forall ((V_A $$unsorted)) (tptp.c_Fun_Oinj__on (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_A tptp.tc_nat tptp.tc_nat)))
% 1.67/1.91  (assume a1561 (forall ((V_pwr $$unsorted) (V_x $$unsorted) (V_n $$unsorted) (V_mul $$unsorted) (V_add $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_pwr V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)) (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_pwr V_x) V_n)) (tptp.hAPP (tptp.hAPP V_pwr V_x) V_n))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a1562 (= (tptp.c_FFT__Mirabelle_Oroot (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) tptp.tc_nat)) tptp.c_Complex_Oii))
% 1.67/1.91  (assume a1563 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) T_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.67/1.91  (assume a1564 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) T_a)))))
% 1.67/1.91  (assume a1565 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1566 (forall ((V_n $$unsorted)) (or (= V_n (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat)))))
% 1.67/1.91  (assume a1567 (forall ((V_pwr $$unsorted) (V_x $$unsorted) (V_n $$unsorted) (V_mul $$unsorted) (V_add $$unsorted) (V_r0 $$unsorted) (V_r1 $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP (tptp.hAPP V_pwr V_x) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n))) (tptp.hAPP (tptp.hAPP V_mul V_x) (tptp.hAPP (tptp.hAPP V_mul (tptp.hAPP (tptp.hAPP V_pwr V_x) V_n)) (tptp.hAPP (tptp.hAPP V_pwr V_x) V_n)))) (not (tptp.c_Groebner__Basis_Ogb__semiring V_add V_mul V_pwr V_r0 V_r1 T_a)))))
% 1.67/1.91  (assume a1568 (forall ((V_x $$unsorted)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_x)) tptp.tc_nat))))
% 1.67/1.91  (assume a1569 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n))))))
% 1.67/1.91  (assume a1570 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) T_a)) V_x)) V_y))))))
% 1.67/1.91  (assume a1571 (forall ((V_n $$unsorted)) (or (= (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) tptp.tc_nat)) V_n) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) tptp.tc_nat)) V_n)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1572 (forall ((V_n $$unsorted)) (or (= (tptp.hAPP tptp.c_Suc (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.67/1.91  (assume a1573 (forall ((V_A $$unsorted)) (tptp.c_Fun_Oinj__on (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) V_A tptp.tc_nat tptp.tc_nat)))
% 1.67/1.91  (assume a1574 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) T_a)) V_x)) V_y) T_a)))))
% 1.67/1.91  (assume a1575 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n))) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.67/1.91  (assume a1576 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a)) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n))) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a)))))
% 1.67/1.91  (assume a1577 (forall ((V_j $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_j V_n tptp.tc_nat) V_k tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_j V_k tptp.tc_nat)))))
% 1.67/1.91  (assume a1578 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 1.67/1.91  (assume a1579 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_n V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1580 (forall ((V_x $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_nat))))
% 1.67/1.91  (assume a1581 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 1.67/1.91  (assume a1582 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 1.67/1.91  (assume a1583 (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))))
% 1.67/1.91  (assume a1584 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls))
% 1.67/1.91  (assume a1585 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_q)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP tptp.c_Suc V_q))))))
% 1.67/1.91  (assume a1586 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_q)) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP tptp.c_Suc V_q))))))
% 1.67/1.91  (assume a1587 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))))))
% 1.67/1.91  (assume a1588 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m)) V_n)))))
% 1.67/1.91  (assume a1589 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.67/1.91  (assume a1590 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.67/1.91  (assume a1591 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 1.67/1.91  (assume a1592 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 1.67/1.91  (assume a1593 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.hAPP tptp.c_Suc V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1594 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.hAPP tptp.c_Suc V_m) tptp.tc_nat)) (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat))))
% 1.67/1.91  (assume a1595 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (= V_n V_m) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.hAPP tptp.c_Suc V_m) tptp.tc_nat)) (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat))))
% 1.67/1.91  (assume a1596 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.c_Suc V_m) (tptp.hAPP tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1597 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n)))))))
% 1.67/1.91  (assume a1598 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Suc V_x) (tptp.hAPP tptp.c_Suc V_y))) (= V_x V_y))))
% 1.67/1.91  (assume a1599 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Suc V_nat) (tptp.hAPP tptp.c_Suc V_nat_H))) (= V_nat V_nat_H))))
% 1.67/1.91  (assume a1600 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))))))
% 1.67/1.91  (assume a1601 (forall ((V_l $$unsorted)) (not (= tptp.c_Int_OPls (tptp.c_Int_OBit1 V_l)))))
% 1.67/1.91  (assume a1602 (forall ((V_l $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_l V_n tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_l V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_l tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1603 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))))))
% 1.67/1.91  (assume a1604 (forall ((V_m $$unsorted) (V_i $$unsorted) (V_j $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_m))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_j))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_i) V_j)))))
% 1.67/1.91  (assume a1605 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a)) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a)) T_a)))))
% 1.67/1.91  (assume a1606 (forall ((V_k $$unsorted)) (not (= (tptp.c_Int_OBit1 V_k) tptp.c_Int_OPls))))
% 1.67/1.91  (assume a1607 (forall ((V_k $$unsorted)) (or (not (= (tptp.c_Int_OBit0 V_k) tptp.c_Int_OPls)) (= V_k tptp.c_Int_OPls))))
% 1.67/1.91  (assume a1608 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_m) tptp.tc_nat)))
% 1.67/1.91  (assume a1609 (forall ((V_k $$unsorted) (V_l $$unsorted)) (or (not (= (tptp.c_Int_OBit0 V_k) (tptp.c_Int_OBit0 V_l))) (= V_k V_l))))
% 1.67/1.91  (assume a1610 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)))))))
% 1.67/1.91  (assume a1611 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))))))
% 1.67/1.91  (assume a1612 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_k) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_k tptp.tc_nat))))
% 1.67/1.91  (assume a1613 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) tptp.tc_nat) tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1614 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c) T_a)))))
% 1.67/1.91  (assume a1615 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_b) T_a)))))
% 1.67/1.91  (assume a1616 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n (tptp.hAPP tptp.c_Suc V_m) tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1617 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.hAPP tptp.c_Suc V_m) tptp.tc_nat)))))
% 1.67/1.91  (assume a1618 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_x (tptp.hAPP tptp.c_Suc V_x) tptp.tc_nat))))
% 1.67/1.91  (assume a1619 (forall ((V_k $$unsorted) (V_l $$unsorted)) (not (= (tptp.c_Int_OBit1 V_k) (tptp.c_Int_OBit0 V_l)))))
% 1.67/1.91  (assume a1620 (= tptp.c_Int_OPls (tptp.c_Int_OBit0 tptp.c_Int_OPls)))
% 1.67/1.91  (assume a1621 (tptp.c_HOL_Oord__class_Oless tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP tptp.c_Suc tptp.v_ka____)) tptp.tc_nat))
% 1.67/1.91  (assume a1622 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y)) V_z)))))
% 1.67/1.91  (assume a1623 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n)) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_k)))))
% 1.67/1.91  (assume a1624 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_ry))))))
% 1.67/1.91  (assume a1625 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_rx)) V_ry)))))
% 1.67/1.91  (assume a1626 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_ly)) V_rx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_ly) V_rx))))))
% 1.67/1.91  (assume a1627 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_ly)) V_rx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_rx)) V_ly)))))
% 1.67/1.91  (assume a1628 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c))))))
% 1.67/1.91  (assume a1629 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_a)))))
% 1.67/1.91  (assume a1630 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_n))))))
% 1.67/1.91  (assume a1631 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y)) V_q) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_q)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) V_q))))))
% 1.67/1.91  (assume a1632 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_HOL_Oord__class_Oless V_x_H V_y_H T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.67/1.91  (assume a1633 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (not (tptp.c_HOL_Oord__class_Oless V_x_H V_y_H T_a)))))
% 1.67/1.91  (assume a1634 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_k)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_k)) V_n))) (= V_m V_n))))
% 1.67/1.91  (assume a1635 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP tptp.c_Suc V_m) V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1636 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m (tptp.hAPP tptp.c_Suc V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1637 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_x) V_x))))
% 1.67/1.91  (assume a1638 (forall ((V_n $$unsorted)) (not (= (tptp.hAPP tptp.c_Suc V_n) V_n))))
% 1.67/1.91  (assume a1639 (forall ((V_n $$unsorted)) (not (= V_n (tptp.hAPP tptp.c_Suc V_n)))))
% 1.67/1.91  (assume a1640 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y)))))
% 1.67/1.91  (assume a1641 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1642 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_k) tptp.tc_nat)))))
% 1.67/1.91  (assume a1643 (forall ((V_n $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_n (tptp.hAPP tptp.c_Suc V_n) tptp.tc_nat)))
% 1.67/1.91  (assume a1644 (forall ((V_x $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.hAPP tptp.c_Suc V_x) tptp.tc_nat)))
% 1.67/1.91  (assume a1645 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP tptp.c_Suc V_i) V_k tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_j V_k tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 1.67/1.91  (assume a1646 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y))))
% 1.67/1.91  (assume a1647 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 1.67/1.91  (assume a1648 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))
% 1.67/1.91  (assume a1649 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 1.67/1.91  (assume a1650 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (= V_m V_n))))
% 1.67/1.91  (assume a1651 (forall ((V_P $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P V_n) V_m)) (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat) (= V_m V_n) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat))))
% 1.67/1.91  (assume a1652 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_y V_x tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat) (= V_x V_y))))
% 1.67/1.91  (assume a1653 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y))))
% 1.67/1.91  (assume a1654 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_ly)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_ly)) V_ry))))))
% 1.67/1.91  (assume a1655 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_ly)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_ly) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) V_ry)))))))
% 1.67/1.91  (assume a1656 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_ly)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_rx)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_ly) V_ry))))))
% 1.67/1.91  (assume a1657 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) T_a)) V_a) V_a))))
% 1.67/1.91  (assume a1658 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) T_a)) V_a))))
% 1.67/1.91  (assume a1659 (forall ((T_a $$unsorted) (V_v $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a)) (tptp.c_HOL_Ominus__class_Ominus V_b V_c T_a)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a)) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a)) V_c) T_a)))))
% 1.67/1.91  (assume a1660 (forall ((V_l $$unsorted)) (or (not (= tptp.c_Int_OPls (tptp.c_Int_OBit0 V_l))) (= tptp.c_Int_OPls V_l))))
% 1.67/1.91  (assume a1661 (forall ((V_k $$unsorted) (V_l $$unsorted)) (or (not (= (tptp.c_Int_OBit1 V_k) (tptp.c_Int_OBit1 V_l))) (= V_k V_l))))
% 1.67/1.91  (assume a1662 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_p $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_p)) V_q) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_p) V_q))))))
% 1.67/1.91  (assume a1663 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP tptp.c_Suc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n))))))
% 1.67/1.91  (assume a1664 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Suc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) V_a)))))
% 1.67/1.91  (assume a1665 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Power_Opower T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Suc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))))))
% 1.67/1.91  (assume a1666 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP tptp.c_Suc V_q)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_q))))))
% 1.67/1.91  (assume a1667 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_x)))))
% 1.67/1.91  (assume a1668 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_m))))
% 1.67/1.91  (assume a1669 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_a)))))
% 1.67/1.91  (assume a1670 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 1.67/1.91  (assume a1671 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_y V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.67/1.91  (assume a1672 (forall ((V_P $$unsorted) (V_Q $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_R $$unsorted)) (= (tptp.hAPP (tptp.c_COMBB V_P V_Q T_b T_a T_c) V_R) (tptp.hAPP V_P (tptp.hAPP V_Q V_R)))))
% 1.67/1.91  (assume a1673 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (= V_x_H V_y_H))))
% 1.67/1.91  (assume a1674 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_xa V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a))) (= V_xa V_y))))
% 1.67/1.91  (assume a1675 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_a)) V_a)))))
% 1.67/1.91  (assume a1676 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Int_Oring__char__0 T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_x T_a) (tptp.c_Int_Onumber__class_Onumber__of V_y T_a))) (= V_x V_y))))
% 1.67/1.91  (assume a1677 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) V_y) T_a)))))
% 1.67/1.91  (assume a1678 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_b_H $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Ominus__class_Ominus V_b V_b_H T_a)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b_H) T_a)))))
% 1.67/1.91  (assume a1679 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)) V_k) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_m) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_n) V_k) tptp.tc_nat))))
% 1.67/1.91  (assume a1680 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) V_k) V_n) tptp.tc_nat))))
% 1.67/1.91  (assume a1681 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_a V_a_H T_a)) V_b) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a_H) V_b) T_a)))))
% 1.67/1.91  (assume a1682 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a)) V_ya) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_ya) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_ya) T_a)))))
% 1.67/1.91  (assume a1683 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_i V_k tptp.tc_nat) V_j tptp.tc_nat))))
% 1.67/1.91  (assume a1684 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n))))))
% 1.67/1.91  (assume a1685 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_k)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_k)) V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1686 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_k)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_k)) V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1687 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP tptp.c_Suc V_m) V_n tptp.tc_nat) (= (tptp.hAPP tptp.c_Suc V_m) V_n) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1688 (forall ((V_k $$unsorted) (V_l $$unsorted)) (not (= (tptp.c_Int_OBit0 V_k) (tptp.c_Int_OBit1 V_l)))))
% 1.67/1.91  (assume a1689 (not (tptp.c_HOL_Oord__class_Oless tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))
% 1.67/1.91  (assume a1690 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP tptp.c_Suc V_m) (tptp.hAPP tptp.c_Suc V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1691 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP tptp.c_Suc V_m) (tptp.hAPP tptp.c_Suc V_n) tptp.tc_nat)))))
% 1.67/1.91  (assume a1692 (forall ((V_x $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP tptp.c_Suc V_x) (tptp.hAPP tptp.c_Suc V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_x V_n tptp.tc_nat)))))
% 1.67/1.91  (assume a1693 (tptp.c_HOL_Oord__class_Oless tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)) tptp.tc_nat))
% 1.67/1.91  (assume a1694 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))
% 1.67/1.91  (assume a1695 (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))
% 1.67/1.91  (assume a1696 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Oboolean__algebra (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Oboolean__algebra T_1)))))
% 1.67/1.91  (assume a1697 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Opreorder T_1)))))
% 1.67/1.91  (assume a1698 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Oorder T_1)))))
% 1.67/1.91  (assume a1699 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat))
% 1.67/1.91  (assume a1700 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat))
% 1.67/1.91  (assume a1701 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat))
% 1.67/1.91  (assume a1702 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat))
% 1.67/1.91  (assume a1703 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat))
% 1.67/1.91  (assume a1704 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat))
% 1.67/1.91  (assume a1705 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat))
% 1.67/1.91  (assume a1706 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat))
% 1.67/1.91  (assume a1707 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat))
% 1.67/1.91  (assume a1708 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat))
% 1.67/1.91  (assume a1709 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat))
% 1.67/1.91  (assume a1710 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat))
% 1.67/1.91  (assume a1711 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat))
% 1.67/1.91  (assume a1712 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat))
% 1.67/1.91  (assume a1713 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat))
% 1.67/1.91  (assume a1714 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat))
% 1.67/1.91  (assume a1715 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat))
% 1.67/1.91  (assume a1716 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat))
% 1.67/1.91  (assume a1717 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat))
% 1.67/1.91  (assume a1718 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat))
% 1.67/1.91  (assume a1719 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat))
% 1.67/1.91  (assume a1720 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat))
% 1.67/1.91  (assume a1721 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat))
% 1.67/1.91  (assume a1722 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat))
% 1.67/1.91  (assume a1723 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat))
% 1.67/1.91  (assume a1724 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat))
% 1.67/1.91  (assume a1725 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat))
% 1.67/1.91  (assume a1726 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat))
% 1.67/1.91  (assume a1727 (tptp.class_Divides_Osemiring__div tptp.tc_nat))
% 1.67/1.91  (assume a1728 (tptp.class_Orderings_Opreorder tptp.tc_nat))
% 1.67/1.91  (assume a1729 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 1.67/1.91  (assume a1730 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 1.67/1.91  (assume a1731 (tptp.class_Power_Opower tptp.tc_nat))
% 1.67/1.91  (assume a1732 (tptp.class_Int_Onumber tptp.tc_nat))
% 1.67/1.91  (assume a1733 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1734 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1735 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1736 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1737 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1738 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1739 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1740 (tptp.class_OrderedGroup_Opordered__ab__group__add__abs tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1741 (tptp.class_OrderedGroup_Olordered__ab__group__add__abs tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1742 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1743 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1744 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1745 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1746 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1747 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1748 (tptp.class_OrderedGroup_Oordered__ab__group__add tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1749 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1750 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1751 (tptp.class_Ring__and__Field_Opordered__ring__abs tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1752 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1753 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1754 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1755 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1756 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1757 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1758 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1759 (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1760 (tptp.class_Ring__and__Field_Olordered__ring tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1761 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1762 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1763 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1764 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1765 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1766 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1767 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1768 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1769 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1770 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1771 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1772 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1773 (tptp.class_Ring__and__Field_Osemiring tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1774 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1775 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1776 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1777 (tptp.class_Ring__and__Field_Oabs__if tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1778 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1779 (tptp.class_Ring__and__Field_Oring tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1780 (tptp.class_Ring__and__Field_Oidom tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1781 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1782 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1783 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1784 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1785 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1786 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1787 (tptp.class_Power_Opower tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1788 (tptp.class_Int_Onumber tptp.tc_Int_Oint))
% 1.67/1.91  (assume a1789 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1790 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1791 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1792 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1793 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1794 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1795 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1796 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1797 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1798 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1799 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1800 (tptp.class_Ring__and__Field_Odivision__ring tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1801 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1802 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1803 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1804 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1805 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1806 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1807 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1808 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1809 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1810 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1811 (tptp.class_Ring__and__Field_Osemiring tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1812 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1813 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1814 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1815 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1816 (tptp.class_Ring__and__Field_Ofield tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1817 (tptp.class_Ring__and__Field_Oring tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1818 (tptp.class_Ring__and__Field_Oidom tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1819 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1820 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1821 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1822 (tptp.class_Int_Onumber tptp.tc_Complex_Ocomplex))
% 1.67/1.91  (assume a1823 (forall ((V_P $$unsorted) (V_Q $$unsorted) (V_R $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted)) (= (tptp.c_COMBC V_P V_Q V_R T_b T_c T_a) (tptp.hAPP (tptp.hAPP V_P V_R) V_Q))))
% 1.67/1.91  (assume a1824 (forall ((V_P $$unsorted) (V_Q $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_R $$unsorted)) (= (tptp.hAPP (tptp.c_COMBB V_P V_Q T_b T_a T_c) V_R) (tptp.hAPP V_P (tptp.hAPP V_Q V_R)))))
% 1.67/1.91  (assume a1825 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_fequal V_x V_x T_a)))
% 1.67/1.91  (assume a1826 (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.c_fequal V_X V_Y T_a)))))
% 1.67/1.91  (step t1 (cl (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (not (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (not (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule and_neg)
% 1.67/1.91  (step t2 (cl (=> (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule implies_neg1)
% 1.67/1.92  (anchor :step t3)
% 1.67/1.92  (assume t3.a0 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))
% 1.67/1.92  (assume t3.a1 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))
% 1.67/1.92  (assume t3.a2 (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))
% 1.67/1.92  (assume t3.a3 (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))
% 1.67/1.92  (step t3.t1 (cl (=> (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule implies_neg1)
% 1.67/1.92  (anchor :step t3.t2)
% 1.67/1.92  (assume t3.t2.a0 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))
% 1.67/1.92  (assume t3.t2.a1 (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))
% 1.67/1.92  (assume t3.t2.a2 (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))
% 1.67/1.92  (assume t3.t2.a3 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))
% 1.67/1.92  (step t3.t2.t1 (cl (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule symm :premises (t3.t2.a3))
% 1.67/1.92  (step t3.t2.t2 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule symm :premises (t3.t2.t1))
% 1.67/1.92  (step t3.t2.t3 (cl (= (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex))) :rule refl)
% 1.67/1.92  (step t3.t2.t4 (cl (= (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule symm :premises (t3.t2.a1))
% 1.67/1.92  (step t3.t2.t5 (cl (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule symm :premises (t3.t2.t4))
% 1.67/1.92  (step t3.t2.t6 (cl (= (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule cong :premises (t3.t2.t3 t3.t2.t5))
% 1.67/1.92  (step t3.t2.t7 (cl (= (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule refl)
% 1.67/1.92  (step t3.t2.t8 (cl (= (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule symm :premises (t3.t2.a2))
% 1.67/1.92  (step t3.t2.t9 (cl (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule symm :premises (t3.t2.t8))
% 1.67/1.92  (step t3.t2.t10 (cl (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule cong :premises (t3.t2.t7 t3.t2.t9))
% 1.67/1.92  (step t3.t2.t11 (cl (= tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex)) :rule refl)
% 1.67/1.92  (step t3.t2.t12 (cl (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule cong :premises (t3.t2.t10 t3.t2.t11))
% 1.67/1.92  (step t3.t2.t13 (cl (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule cong :premises (t3.t2.t6 t3.t2.t12))
% 1.67/1.92  (step t3.t2.t14 (cl (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule symm :premises (t3.t2.a0))
% 1.67/1.92  (step t3.t2.t15 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule trans :premises (t3.t2.t2 t3.t2.t13 t3.t2.t14))
% 1.67/1.92  (step t3.t2 (cl (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (not (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (not (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule subproof :discharge (t3.t2.a0 t3.t2.a1 t3.t2.a2 t3.t2.a3))
% 1.67/1.92  (step t3.t3 (cl (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule and_pos)
% 1.74/1.92  (step t3.t4 (cl (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule and_pos)
% 1.74/1.92  (step t3.t5 (cl (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule and_pos)
% 1.74/1.92  (step t3.t6 (cl (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule and_pos)
% 1.74/1.92  (step t3.t7 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)) (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))))) :rule resolution :premises (t3.t2 t3.t3 t3.t4 t3.t5 t3.t6))
% 1.74/1.92  (step t3.t8 (cl (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule reordering :premises (t3.t7))
% 1.74/1.92  (step t3.t9 (cl (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule contraction :premises (t3.t8))
% 1.74/1.92  (step t3.t10 (cl (=> (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule resolution :premises (t3.t1 t3.t9))
% 1.74/1.92  (step t3.t11 (cl (=> (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule implies_neg2)
% 1.74/1.92  (step t3.t12 (cl (=> (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (=> (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t3.t10 t3.t11))
% 1.74/1.92  (step t3.t13 (cl (=> (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule contraction :premises (t3.t12))
% 1.74/1.92  (step t3.t14 (cl (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule implies :premises (t3.t13))
% 1.74/1.92  (step t3.t15 (cl (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (not (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (not (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule and_neg)
% 1.74/1.92  (step t3.t16 (cl (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t3.t15 t3.a1 t3.a3 t3.a2 t3.a0))
% 1.74/1.92  (step t3.t17 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule resolution :premises (t3.t14 t3.t16))
% 1.74/1.92  (step t3 (cl (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (not (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (not (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule subproof :discharge (t3.a0 t3.a1 t3.a2 t3.a3))
% 1.74/1.92  (step t4 (cl (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule and_pos)
% 1.74/1.92  (step t5 (cl (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule and_pos)
% 1.74/1.92  (step t6 (cl (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule and_pos)
% 1.74/1.92  (step t7 (cl (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule and_pos)
% 1.74/1.92  (step t8 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)) (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))))) :rule resolution :premises (t3 t4 t5 t6 t7))
% 1.74/1.92  (step t9 (cl (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule reordering :premises (t8))
% 1.74/1.92  (step t10 (cl (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule contraction :premises (t9))
% 1.74/1.92  (step t11 (cl (=> (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule resolution :premises (t2 t10))
% 1.74/1.92  (step t12 (cl (=> (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule implies_neg2)
% 1.74/1.92  (step t13 (cl (=> (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (=> (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t11 t12))
% 1.74/1.92  (step t14 (cl (=> (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule contraction :premises (t13))
% 1.74/1.92  (step t15 (cl (not (and (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule implies :premises (t14))
% 1.74/1.92  (step t16 (cl (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (not (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (not (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) :rule resolution :premises (t1 t15))
% 1.74/1.92  (step t17 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) (not (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (not (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule reordering :premises (t16))
% 1.74/1.92  (step t18 (cl (not (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) :rule or_pos)
% 1.74/1.92  (step t19 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule reordering :premises (t18))
% 1.74/1.92  (step t20 (cl (=> (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule implies_neg1)
% 1.74/1.92  (anchor :step t21)
% 1.74/1.92  (assume t21.a0 (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))))
% 1.74/1.92  (step t21.t1 (cl (or (not (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule forall_inst :args ((:= V_a (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (:= V_i (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))
% 1.74/1.92  (step t21.t2 (cl (not (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule or :premises (t21.t1))
% 1.74/1.92  (step t21.t3 (cl (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule resolution :premises (t21.t2 t21.a0))
% 1.74/1.92  (step t21 (cl (not (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule subproof :discharge (t21.a0))
% 1.74/1.92  (step t22 (cl (=> (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule resolution :premises (t20 t21))
% 1.74/1.92  (step t23 (cl (=> (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (not (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule implies_neg2)
% 1.74/1.92  (step t24 (cl (=> (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (=> (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule resolution :premises (t22 t23))
% 1.74/1.92  (step t25 (cl (=> (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule contraction :premises (t24))
% 1.74/1.92  (step t26 (cl (not (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule implies :premises (t25))
% 1.74/1.92  (step t27 (cl (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule resolution :premises (t26 a1583))
% 1.74/1.92  (step t28 (cl (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule resolution :premises (t19 a1694 t27))
% 1.74/1.92  (step t29 (cl (not (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) :rule or_pos)
% 1.74/1.92  (step t30 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule reordering :premises (t29))
% 1.74/1.92  (step t31 (cl (=> (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule implies_neg1)
% 1.74/1.92  (anchor :step t32)
% 1.74/1.92  (assume t32.a0 (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))))
% 1.74/1.92  (step t32.t1 (cl (or (not (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule forall_inst :args ((:= V_a (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (:= V_i (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))
% 1.74/1.92  (step t32.t2 (cl (not (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule or :premises (t32.t1))
% 1.74/1.92  (step t32.t3 (cl (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule resolution :premises (t32.t2 t32.a0))
% 1.74/1.92  (step t32 (cl (not (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule subproof :discharge (t32.a0))
% 1.74/1.92  (step t33 (cl (=> (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule resolution :premises (t31 t32))
% 1.74/1.92  (step t34 (cl (=> (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (not (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule implies_neg2)
% 1.74/1.92  (step t35 (cl (=> (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (=> (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule resolution :premises (t33 t34))
% 1.74/1.92  (step t36 (cl (=> (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) :rule contraction :premises (t35))
% 1.74/1.92  (step t37 (cl (not (forall ((V_a $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) V_a V_i) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ V_a) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))) (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule implies :premises (t36))
% 1.74/1.92  (step t38 (cl (or (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule resolution :premises (t37 a1583))
% 1.74/1.92  (step t39 (cl (= (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)))) :rule resolution :premises (t30 a1694 t38))
% 1.74/1.92  (step t40 (cl (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule or_pos)
% 1.74/1.92  (step t41 (cl (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))))) :rule reordering :premises (t40))
% 1.74/1.92  (step t42 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a)))))) :rule implies_neg1)
% 1.74/1.92  (anchor :step t43)
% 1.74/1.92  (assume t43.a0 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))))
% 1.74/1.92  (step t43.t1 (cl (or (not (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a)))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))))) :rule forall_inst :args ((:= T_a tptp.tc_Complex_Ocomplex) (:= V_x (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (:= V_y (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))))
% 1.74/1.92  (step t43.t2 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a)))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule or :premises (t43.t1))
% 1.74/1.92  (step t43.t3 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t43.t2 t43.a0))
% 1.74/1.92  (step t43 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a)))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule subproof :discharge (t43.a0))
% 1.74/1.92  (step t44 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t42 t43))
% 1.74/1.92  (step t45 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))))) :rule implies_neg2)
% 1.74/1.92  (step t46 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))))) :rule resolution :premises (t44 t45))
% 1.74/1.92  (step t47 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))))) :rule contraction :premises (t46))
% 1.74/1.92  (step t48 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a)))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule implies :premises (t47))
% 1.74/1.92  (step t49 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t48 a312))
% 1.74/1.92  (step t50 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.hAPP (tptp.c_FFT__Mirabelle_OFFT tptp.v_ka____ (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t41 a1808 t49))
% 1.74/1.92  (step t51 (cl (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule or_pos)
% 1.74/1.92  (step t52 (cl (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))))) :rule reordering :premises (t51))
% 1.74/1.92  (step t53 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a)))))) :rule implies_neg1)
% 1.74/1.92  (anchor :step t54)
% 1.74/1.92  (assume t54.a0 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))))
% 1.74/1.92  (step t54.t1 (cl (or (not (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a)))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))))) :rule forall_inst :args ((:= T_a tptp.tc_Complex_Ocomplex) (:= V_x (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (:= V_y (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))))))
% 1.74/1.92  (step t54.t2 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a)))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule or :premises (t54.t1))
% 1.74/1.92  (step t54.t3 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t54.t2 t54.a0))
% 1.74/1.92  (step t54 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a)))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule subproof :discharge (t54.a0))
% 1.74/1.92  (step t55 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t53 t54))
% 1.74/1.92  (step t56 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))))) :rule implies_neg2)
% 1.74/1.92  (step t57 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))))) :rule resolution :premises (t55 t56))
% 1.74/1.92  (step t58 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))))) :rule contraction :premises (t57))
% 1.74/1.92  (step t59 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a)))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule implies :premises (t58))
% 1.74/1.92  (step t60 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t59 a312))
% 1.74/1.92  (step t61 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.c_FFT__Mirabelle_Oroot (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____)))) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) (tptp.c_FFT__Mirabelle_ODFT (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) (tptp.c_COMBB tptp.v_a____ (tptp.c_COMBB tptp.c_Suc (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus tptp.v_i____ (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat)) tptp.v_ka____) tptp.tc_nat))) tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t52 a1808 t60))
% 1.74/1.92  (step t62 (cl) :rule resolution :premises (t17 t28 t39 t50 t61 a1695))
% 1.74/1.92  
% 1.74/1.93  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.iG46UlFzi3/cvc5---1.0.5_5586.smt2
% 1.74/1.93  % cvc5---1.0.5 exiting
% 1.74/1.93  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------