TSTP Solution File: SWV608-1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV608-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 21:52:40 EDT 2023

% Result   : Unsatisfiable 7.73s 7.93s
% Output   : Proof 7.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.21  % Problem    : SWV608-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.22  % Command    : do_cvc5 %s %d
% 0.23/0.44  % Computer : n014.cluster.edu
% 0.23/0.44  % Model    : x86_64 x86_64
% 0.23/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.44  % Memory   : 8042.1875MB
% 0.23/0.44  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.23/0.44  % CPULimit   : 300
% 0.23/0.44  % WCLimit    : 300
% 0.23/0.44  % DateTime   : Tue Aug 29 04:26:00 EDT 2023
% 0.23/0.44  % CPUTime    : 
% 0.31/0.66  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.67  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8PO2kEaxCV/cvc5---1.0.5_11687.p...
% 0.31/0.83  ------- get file name : TPTP file name is SWV608-1
% 0.31/0.84  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11687.smt2...
% 0.31/0.84  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 7.73/7.93  % SZS status Unsatisfiable for SWV608-1
% 7.73/7.93  % SZS output start Proof for SWV608-1
% 7.85/8.04  (
% 7.85/8.04  (let ((_let_1 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex))) (let ((_let_2 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Complex_Ocomplex))) (let ((_let_3 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_Complex_Ocomplex))) (let ((_let_4 (tptp.class_Int_Onumber tptp.tc_RealDef_Oreal))) (let ((_let_5 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal))) (let ((_let_6 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal))) (let ((_let_7 (tptp.class_Ring__and__Field_Ofield tptp.tc_RealDef_Oreal))) (let ((_let_8 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_RealDef_Oreal))) (let ((_let_9 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal))) (let ((_let_10 (tptp.class_Ring__and__Field_Oordered__field tptp.tc_RealDef_Oreal))) (let ((_let_11 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal))) (let ((_let_12 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal))) (let ((_let_13 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_RealDef_Oreal))) (let ((_let_14 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal))) (let ((_let_15 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat))) (let ((_let_16 (tptp.c_RealDef_Oreal tptp.v_n tptp.tc_nat))) (let ((_let_17 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) (let ((_let_18 (tptp.c_Int_OBit0 _let_17))) (let ((_let_19 (tptp.c_Int_Onumber__class_Onumber__of _let_18 tptp.tc_RealDef_Oreal))) (let ((_let_20 (tptp.c_HOL_Otimes__class_Otimes _let_19 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal))) (let ((_let_21 (tptp.c_HOL_Oinverse__class_Odivide _let_20 _let_16 tptp.tc_RealDef_Oreal))) (let ((_let_22 (tptp.c_Power_Opower__class_Opower (tptp.c_Complex_Ocis _let_21) tptp.v_k tptp.tc_Complex_Ocomplex))) (let ((_let_23 (tptp.c_HOL_Otimes__class_Otimes tptp.v_d tptp.v_k tptp.tc_nat))) (let ((_let_24 (tptp.c_HOL_Otimes__class_Otimes tptp.v_d tptp.v_n tptp.tc_nat))) (let ((_let_25 (tptp.c_RealDef_Oreal _let_24 tptp.tc_nat))) (let ((_let_26 (tptp.c_HOL_Oinverse__class_Odivide _let_20 _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_27 (tptp.c_Complex_Ocis _let_26))) (let ((_let_28 (tptp.c_Power_Opower__class_Opower _let_27 _let_23 tptp.tc_Complex_Ocomplex))) (let ((_let_29 (= _let_28 _let_22))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (let ((_let_32 (tptp.c_HOL_Oord__class_Oless _let_31 tptp.v_d tptp.tc_nat))) (let ((_let_33 (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.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) V_y T_a)))))) (let ((_let_34 (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))) (let ((_let_35 (forall ((V_z $$unsorted) (V_w $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes V_z V_w tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_w V_z tptp.tc_RealDef_Oreal))))) (let ((_let_36 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_m tptp.tc_nat))))) (let ((_let_37 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a))))))) (let ((_let_38 (forall ((T_a $$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.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_rx T_a) (tptp.c_HOL_Otimes__class_Otimes V_ly V_ry T_a) T_a)))))) (let ((_let_39 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (let ((_let_1 (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) _let_1 T_a) (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_ly _let_1 T_a) T_a))))))) (let ((_let_40 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (let ((_let_1 (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes _let_1 (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx (tptp.c_HOL_Otimes__class_Otimes _let_1 V_ry T_a) T_a))))))) (let ((_let_41 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_c T_a)))))) (let ((_let_42 (forall ((T_a $$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.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_z V_w T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_w T_a) T_a)))))) (let ((_let_43 (forall ((V_a $$unsorted) (V_n $$unsorted)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_Complex_Ocis V_a) V_n tptp.tc_Complex_Ocomplex) (tptp.c_Complex_Ocis (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealDef_Oreal V_n tptp.tc_nat) V_a tptp.tc_RealDef_Oreal)))))) (let ((_let_44 (tptp.c_HOL_Oord__class_Oless _let_31 _let_31 tptp.tc_nat))) (let ((_let_45 (not _let_44))) (let ((_let_46 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= _let_2 _let_1)) (= (tptp.c_HOL_Oinverse__class_Odivide V_b _let_2 T_a) _let_1))))))) (let ((_let_47 (tptp.c_Int_OBit0 tptp.c_Int_OPls))) (let ((_let_48 (forall ((T_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_1 _let_2 T_a) _let_2 T_a) _let_1))))))) (let ((_let_49 (forall ((T_a $$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)))))) (let ((_let_50 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_RealDef_Oreal (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealDef_Oreal V_m tptp.tc_nat) (tptp.c_RealDef_Oreal V_n tptp.tc_nat) tptp.tc_RealDef_Oreal))))) (let ((_let_51 (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes _let_1 V_a T_a) _let_1)))))) (let ((_let_52 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_c T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))) (let ((_let_53 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) _let_1 T_a)) (= _let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))))))) (let ((_let_54 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= _let_1 (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) V_c T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a))))))) (let ((_let_55 (forall ((V_r $$unsorted) (V_a $$unsorted)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_r V_a tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_r V_r tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oinverse__class_Odivide V_a V_r tptp.tc_RealDef_Oreal))))) (let ((_let_56 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) _let_1 T_a)) (= _let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))))))) (let ((_let_57 (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.c_HOL_Otimes__class_Otimes V_a 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.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))) (let ((_let_58 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a))))))) (let ((_let_59 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a))))))) (let ((_let_60 (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.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) V_rx T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_rx T_a) V_ly T_a)))))) (let ((_let_61 (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.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx (tptp.c_HOL_Otimes__class_Otimes V_lx V_ry T_a) T_a)))))) (let ((_let_62 (forall ((V_z1 $$unsorted) (V_z2 $$unsorted) (V_z3 $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_z1 V_z2 tptp.tc_RealDef_Oreal) V_z3 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_z1 (tptp.c_HOL_Otimes__class_Otimes V_z2 V_z3 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) (let ((_let_63 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a))))))) (let ((_let_64 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= _let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) V_c T_a) _let_1)))))) (let ((_let_65 (tptp.c_HOL_Oinverse__class_Odivide tptp.c_Transcendental_Opi _let_19 tptp.tc_RealDef_Oreal))) (let ((_let_66 (forall ((V_y $$unsorted) (V_z $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_y (tptp.c_HOL_Otimes__class_Otimes _let_1 V_z tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oinverse__class_Odivide V_y V_z tptp.tc_RealDef_Oreal)))))) (let ((_let_67 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_x (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))) (let ((_let_68 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (let ((_let_69 (not (= _let_65 _let_68)))) (let ((_let_70 (tptp.c_Int_OBit0 _let_18))) (let ((_let_71 (tptp.c_Int_Onumber__class_Onumber__of _let_70 tptp.tc_RealDef_Oreal))) (let ((_let_72 (forall ((V_x $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oinverse__class_Odivide V_x (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_1 tptp.tc_RealDef_Oreal) V_x))))) (let ((_let_73 (tptp.c_Int_Onumber__class_Onumber__of _let_18 tptp.tc_nat))) (let ((_let_74 (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_Power_Opower__class_Opower _let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) T_a) _let_1)))))) (let ((_let_75 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_z (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_z V_z T_a)))))) (let ((_let_76 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) T_a) V_z T_a) (tptp.c_HOL_Oplus__class_Oplus V_z V_z T_a)))))) (let ((_let_77 (tptp.c_RealDef_Oreal _let_31 tptp.tc_nat))) (let ((_let_78 (= _let_77 _let_68))) (let ((_let_79 (forall ((V_n $$unsorted)) (or (not (= (tptp.c_RealDef_Oreal V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))) (let ((_let_80 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))) (let ((_let_81 (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls tptp.tc_nat))) (let ((_let_82 (= _let_31 _let_81))) (let ((_let_83 (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_1 T_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) T_a))))))) (let ((_let_84 (forall ((V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Oreal V_n tptp.tc_nat) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))) (let ((_let_85 (forall ((V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Oreal V_n tptp.tc_nat) tptp.tc_RealDef_Oreal)))))) (let ((_let_86 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a) V_a T_a)))))) (let ((_let_87 (tptp.c_lessequals _let_68 _let_65 tptp.tc_RealDef_Oreal))) (let ((_let_88 (tptp.c_HOL_Oord__class_Oless _let_68 _let_65 tptp.tc_RealDef_Oreal))) (let ((_let_89 (forall ((T_a $$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)))))) (let ((_let_90 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))) (let ((_let_91 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_z (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) T_a) V_y T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))) (let ((_let_92 (forall ((T_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_1 T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 V_w) T_a))))))) (let ((_let_93 (tptp.c_HOL_Otimes__class_Otimes _let_68 _let_68 tptp.tc_RealDef_Oreal))) (let ((_let_94 (tptp.c_HOL_Oplus__class_Oplus _let_93 _let_93 tptp.tc_RealDef_Oreal))) (let ((_let_95 (= _let_94 _let_68))) (let ((_let_96 (forall ((V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (or (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_x V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals _let_1 V_x tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals _let_1 V_y tptp.tc_RealDef_Oreal))))))) (let ((_let_97 (forall ((T_a $$unsorted) (V_m $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_m V_m T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_1 T_a) V_m T_a))))))) (let ((_let_98 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Oreal V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) (let ((_let_99 (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.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) V_b T_a)))))) (let ((_let_100 (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.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))) (let ((_let_101 (tptp.c_HOL_Oord__class_Oless tptp.c_Transcendental_Opi _let_68 tptp.tc_RealDef_Oreal))) (let ((_let_102 (not _let_101))) (let ((_let_103 (forall ((V_y $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (or (tptp.c_lessequals _let_1 V_y tptp.tc_RealDef_Oreal) (tptp.c_lessequals V_x _let_1 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_x V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))))) (let ((_let_104 (not (= tptp.c_Transcendental_Opi _let_68)))) (let ((_let_105 (forall ((V_z1 $$unsorted) (V_z2 $$unsorted) (V_w $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_z1 V_z2 tptp.tc_RealDef_Oreal) V_w tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_z1 V_w tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_z2 V_w tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) (let ((_let_106 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))) (let ((_let_107 (forall ((T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower _let_1 V_n T_a) _let_1)))))) (let ((_let_108 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_1 T_a) T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a))))))) (let ((_let_109 (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.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_a_H T_a) V_b T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a_H V_b T_a) T_a)))))) (let ((_let_110 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_xa (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_xa V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_xa V_y T_a) T_a)))))) (let ((_let_111 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_a))))) (let ((_let_112 (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.c_HOL_Otimes__class_Otimes V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) T_a)))))) (let ((_let_113 (forall ((V_n $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Oreal V_n tptp.tc_nat) tptp.tc_RealDef_Oreal)))) (let ((_let_114 (forall ((V_x $$unsorted) (V_z $$unsorted)) (= V_x (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_x V_z tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal))))) (let ((_let_115 (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_1 T_a) _let_1)))))) (let ((_let_116 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))))) (let ((_let_117 (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)))))) (let ((_let_118 (= _let_68 _let_94))) (let ((_let_119 (= _let_68 _let_77))) (let ((_let_120 (= _let_93 (tptp.c_HOL_Ominus__class_Ominus _let_94 _let_93 tptp.tc_RealDef_Oreal)))) (let ((_let_121 (tptp.c_HOL_Oplus__class_Oplus _let_68 _let_68 tptp.tc_RealDef_Oreal))) (let ((_let_122 (= _let_94 (tptp.c_HOL_Otimes__class_Otimes _let_121 _let_68 tptp.tc_RealDef_Oreal)))) (let ((_let_123 (tptp.c_HOL_Oplus__class_Oplus _let_65 _let_65 tptp.tc_RealDef_Oreal))) (let ((_let_124 (= tptp.c_Transcendental_Opi _let_123))) (let ((_let_125 (tptp.c_HOL_Otimes__class_Otimes _let_19 _let_19 tptp.tc_RealDef_Oreal))) (let ((_let_126 (= _let_65 (tptp.c_HOL_Oinverse__class_Odivide _let_20 _let_125 tptp.tc_RealDef_Oreal)))) (let ((_let_127 (tptp.c_RealDef_Oreal tptp.v_d tptp.tc_nat))) (let ((_let_128 (tptp.c_HOL_Otimes__class_Otimes _let_127 _let_16 tptp.tc_RealDef_Oreal))) (let ((_let_129 (= _let_25 _let_128))) (let ((_let_130 (tptp.c_RealDef_Oreal tptp.v_k tptp.tc_nat))) (let ((_let_131 (tptp.c_HOL_Otimes__class_Otimes _let_127 _let_130 tptp.tc_RealDef_Oreal))) (let ((_let_132 (tptp.c_RealDef_Oreal _let_23 tptp.tc_nat))) (let ((_let_133 (= _let_132 _let_131))) (let ((_let_134 (= _let_22 (tptp.c_Complex_Ocis (tptp.c_HOL_Otimes__class_Otimes _let_130 _let_21 tptp.tc_RealDef_Oreal))))) (let ((_let_135 (= _let_28 (tptp.c_Complex_Ocis (tptp.c_HOL_Otimes__class_Otimes _let_132 _let_26 tptp.tc_RealDef_Oreal))))) (let ((_let_136 (tptp.c_HOL_Otimes__class_Otimes tptp.v_n tptp.v_d tptp.tc_nat))) (let ((_let_137 (= _let_24 _let_136))) (let ((_let_138 (= _let_68 _let_121))) (let ((_let_139 (tptp.c_Int_Onumber__class_Onumber__of _let_17 tptp.tc_RealDef_Oreal))) (let ((_let_140 (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal))) (let ((_let_141 (tptp.c_HOL_Oplus__class_Oplus _let_140 _let_140 tptp.tc_RealDef_Oreal))) (let ((_let_142 (tptp.c_HOL_Otimes__class_Otimes _let_141 _let_139 tptp.tc_RealDef_Oreal))) (let ((_let_143 (= _let_19 _let_142))) (let ((_let_144 (= _let_71 (tptp.c_HOL_Otimes__class_Otimes _let_141 _let_19 tptp.tc_RealDef_Oreal)))) (let ((_let_145 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 _let_17) tptp.tc_nat))) (let ((_let_146 (= (tptp.c_HOL_Otimes__class_Otimes _let_93 _let_68 tptp.tc_RealDef_Oreal) (tptp.c_Power_Opower__class_Opower _let_68 _let_145 tptp.tc_RealDef_Oreal)))) (let ((_let_147 (= _let_19 _let_141))) (let ((_let_148 (tptp.c_HOL_Otimes__class_Otimes _let_93 _let_19 tptp.tc_RealDef_Oreal))) (let ((_let_149 (= _let_94 _let_148))) (let ((_let_150 (= _let_68 (tptp.c_Power_Opower__class_Opower _let_68 _let_73 tptp.tc_RealDef_Oreal)))) (let ((_let_151 (= _let_19 (tptp.c_HOL_Oinverse__class_Odivide _let_20 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal)))) (let ((_let_152 (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls tptp.tc_RealDef_Oreal))) (let ((_let_153 (= _let_68 _let_152))) (let ((_let_154 (tptp.c_HOL_Otimes__class_Otimes _let_68 _let_19 tptp.tc_RealDef_Oreal))) (let ((_let_155 (= _let_68 (tptp.c_HOL_Oinverse__class_Odivide _let_154 _let_19 tptp.tc_RealDef_Oreal)))) (let ((_let_156 (= _let_68 (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_68 _let_71 tptp.tc_RealDef_Oreal) _let_71 tptp.tc_RealDef_Oreal)))) (let ((_let_157 (tptp.c_HOL_Oinverse__class_Odivide _let_19 _let_16 tptp.tc_RealDef_Oreal))) (let ((_let_158 (tptp.c_HOL_Otimes__class_Otimes _let_157 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal))) (let ((_let_159 (= _let_21 _let_158))) (let ((_let_160 (tptp.c_HOL_Oinverse__class_Odivide _let_19 _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_161 (tptp.c_HOL_Otimes__class_Otimes _let_160 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal))) (let ((_let_162 (= _let_26 _let_161))) (let ((_let_163 (tptp.c_HOL_Otimes__class_Otimes _let_65 _let_19 tptp.tc_RealDef_Oreal))) (let ((_let_164 (= tptp.c_Transcendental_Opi _let_163))) (let ((_let_165 (tptp.c_HOL_Otimes__class_Otimes _let_19 _let_139 tptp.tc_RealDef_Oreal))) (let ((_let_166 (tptp.c_HOL_Oinverse__class_Odivide tptp.c_Transcendental_Opi _let_139 tptp.tc_RealDef_Oreal))) (let ((_let_167 (= _let_166 (tptp.c_HOL_Otimes__class_Otimes _let_19 (tptp.c_HOL_Oinverse__class_Odivide tptp.c_Transcendental_Opi _let_165 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (let ((_let_168 (= (tptp.c_HOL_Otimes__class_Otimes _let_68 _let_125 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes _let_154 _let_19 tptp.tc_RealDef_Oreal)))) (let ((_let_169 (tptp.c_HOL_Otimes__class_Otimes _let_160 _let_65 tptp.tc_RealDef_Oreal))) (let ((_let_170 (tptp.c_HOL_Otimes__class_Otimes _let_169 _let_19 tptp.tc_RealDef_Oreal))) (let ((_let_171 (= (tptp.c_HOL_Otimes__class_Otimes _let_160 _let_163 tptp.tc_RealDef_Oreal) _let_170))) (let ((_let_172 (tptp.c_HOL_Otimes__class_Otimes _let_16 _let_127 tptp.tc_RealDef_Oreal))) (let ((_let_173 (= (tptp.c_RealDef_Oreal _let_136 tptp.tc_nat) _let_172))) (let ((_let_174 (= _let_163 (tptp.c_HOL_Otimes__class_Otimes _let_19 _let_65 tptp.tc_RealDef_Oreal)))) (let ((_let_175 (tptp.c_HOL_Otimes__class_Otimes _let_26 _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_176 (= _let_175 (tptp.c_HOL_Otimes__class_Otimes _let_25 _let_26 tptp.tc_RealDef_Oreal)))) (let ((_let_177 (tptp.c_HOL_Oplus__class_Oplus _let_68 _let_65 tptp.tc_RealDef_Oreal))) (let ((_let_178 (= _let_65 _let_177))) (let ((_let_179 (= _let_19 (tptp.c_HOL_Oplus__class_Oplus _let_68 _let_19 tptp.tc_RealDef_Oreal)))) (let ((_let_180 (tptp.c_HOL_Oinverse__class_Odivide _let_65 _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_181 (tptp.c_HOL_Oplus__class_Oplus _let_180 _let_180 tptp.tc_RealDef_Oreal))) (let ((_let_182 (= (tptp.c_HOL_Oinverse__class_Odivide _let_123 _let_25 tptp.tc_RealDef_Oreal) _let_181))) (let ((_let_183 (= (tptp.c_HOL_Oplus__class_Oplus _let_94 _let_65 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus _let_93 _let_65 tptp.tc_RealDef_Oreal) _let_93 tptp.tc_RealDef_Oreal)))) (let ((_let_184 (tptp.c_HOL_Otimes__class_Otimes _let_130 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal))) (let ((_let_185 (tptp.c_HOL_Otimes__class_Otimes _let_157 _let_184 tptp.tc_RealDef_Oreal))) (let ((_let_186 (= (tptp.c_HOL_Otimes__class_Otimes _let_130 _let_158 tptp.tc_RealDef_Oreal) _let_185))) (let ((_let_187 (= (tptp.c_HOL_Otimes__class_Otimes _let_142 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes _let_141 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal) _let_139 tptp.tc_RealDef_Oreal)))) (let ((_let_188 (tptp.c_HOL_Otimes__class_Otimes _let_65 _let_16 tptp.tc_RealDef_Oreal))) (let ((_let_189 (= (tptp.c_HOL_Otimes__class_Otimes _let_163 _let_16 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes _let_188 _let_19 tptp.tc_RealDef_Oreal)))) (let ((_let_190 (tptp.c_HOL_Oinverse__class_Odivide _let_25 _let_19 tptp.tc_RealDef_Oreal))) (let ((_let_191 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide _let_26 _let_68 tptp.tc_RealDef_Oreal) _let_190 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oinverse__class_Odivide _let_175 _let_154 tptp.tc_RealDef_Oreal)))) (let ((_let_192 (= _let_160 (tptp.c_HOL_Oinverse__class_Odivide _let_161 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal)))) (let ((_let_193 (tptp.c_HOL_Otimes__class_Otimes tptp.c_Transcendental_Opi _let_16 tptp.tc_RealDef_Oreal))) (let ((_let_194 (tptp.c_HOL_Otimes__class_Otimes _let_160 _let_127 tptp.tc_RealDef_Oreal))) (let ((_let_195 (= (tptp.c_HOL_Otimes__class_Otimes _let_161 _let_128 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes _let_194 _let_193 tptp.tc_RealDef_Oreal)))) (let ((_let_196 (tptp.c_HOL_Otimes__class_Otimes _let_127 _let_160 tptp.tc_RealDef_Oreal))) (let ((_let_197 (tptp.c_HOL_Otimes__class_Otimes _let_196 _let_184 tptp.tc_RealDef_Oreal))) (let ((_let_198 (= (tptp.c_HOL_Otimes__class_Otimes _let_131 _let_161 tptp.tc_RealDef_Oreal) _let_197))) (let ((_let_199 (= _let_166 (tptp.c_HOL_Oinverse__class_Odivide _let_20 _let_165 tptp.tc_RealDef_Oreal)))) (let ((_let_200 (tptp.c_HOL_Oinverse__class_Odivide _let_26 _let_77 tptp.tc_RealDef_Oreal))) (let ((_let_201 (tptp.c_HOL_Otimes__class_Otimes _let_200 _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_202 (= _let_201 (tptp.c_HOL_Oinverse__class_Odivide _let_175 _let_77 tptp.tc_RealDef_Oreal)))) (let ((_let_203 (tptp.c_HOL_Oinverse__class_Odivide _let_26 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal))) (let ((_let_204 (tptp.c_HOL_Otimes__class_Otimes _let_203 _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_205 (= _let_204 (tptp.c_HOL_Oinverse__class_Odivide _let_175 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal)))) (let ((_let_206 (tptp.c_HOL_Oinverse__class_Odivide _let_26 _let_125 tptp.tc_RealDef_Oreal))) (let ((_let_207 (tptp.c_HOL_Otimes__class_Otimes _let_206 _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_208 (= _let_207 (tptp.c_HOL_Oinverse__class_Odivide _let_175 _let_125 tptp.tc_RealDef_Oreal)))) (let ((_let_209 (tptp.c_HOL_Otimes__class_Otimes _let_180 _let_19 tptp.tc_RealDef_Oreal))) (let ((_let_210 (= _let_209 (tptp.c_HOL_Oinverse__class_Odivide _let_163 _let_25 tptp.tc_RealDef_Oreal)))) (let ((_let_211 (tptp.c_HOL_Oplus__class_Oplus _let_148 _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_212 (= _let_148 (tptp.c_HOL_Ominus__class_Ominus _let_211 _let_25 tptp.tc_RealDef_Oreal)))) (let ((_let_213 (tptp.c_HOL_Otimes__class_Otimes _let_180 _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_214 (= (tptp.c_HOL_Oplus__class_Oplus _let_213 _let_213 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes _let_181 _let_25 tptp.tc_RealDef_Oreal)))) (let ((_let_215 (= (tptp.c_HOL_Oplus__class_Oplus _let_207 _let_201 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus _let_206 _let_200 tptp.tc_RealDef_Oreal) _let_25 tptp.tc_RealDef_Oreal)))) (let ((_let_216 (tptp.c_HOL_Otimes__class_Otimes _let_68 _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_217 (= _let_216 (tptp.c_HOL_Otimes__class_Otimes _let_25 _let_68 tptp.tc_RealDef_Oreal)))) (let ((_let_218 (= _let_185 (tptp.c_HOL_Otimes__class_Otimes _let_184 _let_157 tptp.tc_RealDef_Oreal)))) (let ((_let_219 (= _let_194 _let_196))) (let ((_let_220 (= _let_197 (tptp.c_HOL_Otimes__class_Otimes _let_184 _let_196 tptp.tc_RealDef_Oreal)))) (let ((_let_221 (= _let_201 (tptp.c_HOL_Otimes__class_Otimes _let_25 _let_200 tptp.tc_RealDef_Oreal)))) (let ((_let_222 (= _let_204 (tptp.c_HOL_Otimes__class_Otimes _let_25 _let_203 tptp.tc_RealDef_Oreal)))) (let ((_let_223 (= _let_169 (tptp.c_HOL_Otimes__class_Otimes _let_65 _let_160 tptp.tc_RealDef_Oreal)))) (let ((_let_224 (= _let_25 (tptp.c_HOL_Oplus__class_Oplus _let_68 _let_25 tptp.tc_RealDef_Oreal)))) (let ((_let_225 (tptp.c_HOL_Ominus__class_Ominus _let_201 _let_201 tptp.tc_RealDef_Oreal))) (let ((_let_226 (= _let_225 (tptp.c_HOL_Otimes__class_Otimes _let_200 (tptp.c_HOL_Ominus__class_Ominus _let_25 _let_25 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (let ((_let_227 (= _let_225 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus _let_200 _let_200 tptp.tc_RealDef_Oreal) _let_25 tptp.tc_RealDef_Oreal)))) (let ((_let_228 (= _let_68 (tptp.c_HOL_Oinverse__class_Odivide _let_26 _let_152 tptp.tc_RealDef_Oreal)))) (let ((_let_229 (= _let_152 (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_152 _let_25 tptp.tc_RealDef_Oreal) _let_25 tptp.tc_RealDef_Oreal)))) (let ((_let_230 (= (tptp.c_HOL_Otimes__class_Otimes _let_180 _let_204 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes _let_203 _let_213 tptp.tc_RealDef_Oreal)))) (let ((_let_231 (= _let_169 (tptp.c_HOL_Oinverse__class_Odivide _let_170 _let_19 tptp.tc_RealDef_Oreal)))) (let ((_let_232 (tptp.c_HOL_Oinverse__class_Odivide _let_128 _let_16 tptp.tc_RealDef_Oreal))) (let ((_let_233 (= (tptp.c_HOL_Otimes__class_Otimes _let_232 _let_203 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_128 _let_26 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes _let_16 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (let ((_let_234 (= (tptp.c_HOL_Otimes__class_Otimes _let_203 _let_232 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_26 _let_128 tptp.tc_RealDef_Oreal) _let_193 tptp.tc_RealDef_Oreal)))) (let ((_let_235 (tptp.c_HOL_Otimes__class_Otimes _let_16 _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_236 (= (tptp.c_HOL_Otimes__class_Otimes _let_209 _let_235 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes _let_16 (tptp.c_HOL_Otimes__class_Otimes _let_209 _let_25 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (let ((_let_237 (= (tptp.c_HOL_Otimes__class_Otimes _let_188 _let_204 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes _let_65 _let_203 tptp.tc_RealDef_Oreal) _let_235 tptp.tc_RealDef_Oreal)))) (let ((_let_238 (= (tptp.c_HOL_Otimes__class_Otimes _let_232 _let_160 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_128 _let_160 tptp.tc_RealDef_Oreal) _let_16 tptp.tc_RealDef_Oreal)))) (let ((_let_239 (= _let_20 _let_175))) (let ((_let_240 (= (tptp.c_HOL_Oplus__class_Oplus _let_206 (tptp.c_HOL_Oinverse__class_Odivide _let_68 _let_25 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus _let_68 _let_207 tptp.tc_RealDef_Oreal) _let_25 tptp.tc_RealDef_Oreal)))) (let ((_let_241 (= _let_127 _let_232))) (let ((_let_242 (SYMM (ASSUME :args (_let_95))))) (let ((_let_243 (SYMM (ASSUME :args (_let_78))))) (let ((_let_244 (ASSUME :args (_let_30)))) (let ((_let_245 (_let_114))) (let ((_let_246 (ASSUME :args _let_245))) (let ((_let_247 ((tptp.c_HOL_Oplus__class_Oplus V_x V_z tptp.tc_RealDef_Oreal)))) (let ((_let_248 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_246 :args (_let_93 _let_93 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_247)) :args _let_245)) _let_246 :args (_let_120 false _let_114)))) (let ((_let_249 (_let_105))) (let ((_let_250 (ASSUME :args _let_249))) (let ((_let_251 ((tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_z1 V_w tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_z2 V_w tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (let ((_let_252 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_250 :args (_let_68 _let_68 _let_68 QUANTIFIERS_INST_E_MATCHING _let_251)) :args _let_249))) _let_250 :args (_let_122 false _let_105)))) (let ((_let_253 (forall ((V_x $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oinverse__class_Odivide V_x (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= V_x (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_1 tptp.tc_RealDef_Oreal)))))) (let ((_let_254 (EQ_RESOLVE (ASSUME :args (_let_72)) (MACRO_SR_EQ_INTRO :args (_let_72 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_255 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_254 :args (tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oinverse__class_Odivide V_x _let_19 tptp.tc_RealDef_Oreal)))) :args (_let_253))) _let_254 :args (_let_124 false _let_253)))) (let ((_let_256 (_let_55))) (let ((_let_257 (ASSUME :args _let_256))) (let ((_let_258 (_let_50))) (let ((_let_259 (ASSUME :args _let_258))) (let ((_let_260 ((tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat)))) (let ((_let_261 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_259 :args (tptp.v_d tptp.v_n QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_258)) _let_259 :args (_let_129 false _let_50)))) (let ((_let_262 (_let_43))) (let ((_let_263 (ASSUME :args _let_262))) (let ((_let_264 ((tptp.c_Power_Opower__class_Opower (tptp.c_Complex_Ocis V_a) V_n tptp.tc_Complex_Ocomplex)))) (let ((_let_265 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_263 :args (_let_21 tptp.v_k QUANTIFIERS_INST_E_MATCHING _let_264)) :args _let_262)) _let_263 :args (_let_134 false _let_43)))) (let ((_let_266 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_263 :args (_let_26 _let_23 QUANTIFIERS_INST_E_MATCHING _let_264)) :args _let_262)) _let_263 :args (_let_135 false _let_43)))) (let ((_let_267 (_let_36))) (let ((_let_268 (ASSUME :args _let_267))) (let ((_let_269 ((tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat)))) (let ((_let_270 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_268 :args (tptp.v_d tptp.v_n QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_269)) :args _let_267)) _let_268 :args (_let_137 false _let_36)))) (let ((_let_271 (not _let_14))) (let ((_let_272 (or _let_271 _let_138))) (let ((_let_273 (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= _let_1 (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_1 T_a))))))) (let ((_let_274 (EQ_RESOLVE (ASSUME :args (_let_115)) (MACRO_SR_EQ_INTRO :args (_let_115 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_275 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_272)) :args ((or _let_271 _let_138 (not _let_272)))) (ASSUME :args (_let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_274 :args (tptp.tc_RealDef_Oreal QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_OrderedGroup_Olordered__ab__group__add T_a) false))))) :args (_let_273))) _let_274 :args (_let_272 false _let_273)) :args (_let_138 false _let_14 false _let_272)))) (let ((_let_276 (not _let_5))) (let ((_let_277 (or _let_276 _let_143))) (let ((_let_278 (_let_92))) (let ((_let_279 (ASSUME :args _let_278))) (let ((_let_280 ((tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 V_w) T_a)))) (let ((_let_281 (ASSUME :args (_let_5)))) (let ((_let_282 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_277)) :args ((or _let_276 _let_143 (not _let_277)))) _let_281 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_279 :args (tptp.tc_RealDef_Oreal _let_17 QUANTIFIERS_INST_E_MATCHING _let_280)) :args _let_278))) _let_279 :args (_let_277 false _let_92)) :args (_let_143 false _let_5 false _let_277)))) (let ((_let_283 (or _let_276 _let_144))) (let ((_let_284 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_283)) :args ((or _let_276 _let_144 (not _let_283)))) _let_281 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_279 :args (tptp.tc_RealDef_Oreal _let_18 QUANTIFIERS_INST_E_MATCHING _let_280)) :args _let_278))) _let_279 :args (_let_283 false _let_92)) :args (_let_144 false _let_5 false _let_283)))) (let ((_let_285 (not _let_8))) (let ((_let_286 (or _let_285 _let_146))) (let ((_let_287 (_let_86))) (let ((_let_288 (ASSUME :args _let_287))) (let ((_let_289 (ASSUME :args (_let_8)))) (let ((_let_290 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_286)) :args ((or _let_285 _let_146 (not _let_286)))) _let_289 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_288 :args (tptp.tc_RealDef_Oreal _let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a)))) :args _let_287))) _let_288 :args (_let_286 false _let_86)) :args (_let_146 false _let_8 false _let_286)))) (let ((_let_291 (or _let_276 _let_147))) (let ((_let_292 (_let_83))) (let ((_let_293 (ASSUME :args _let_292))) (let ((_let_294 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_291)) :args ((or _let_276 _let_147 (not _let_291)))) _let_281 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_293 :args (tptp.tc_RealDef_Oreal QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Int_Onumber__ring T_a) false))))) :args _let_292))) _let_293 :args (_let_291 false _let_83)) :args (_let_147 false _let_5 false _let_291)))) (let ((_let_295 (or _let_276 _let_149))) (let ((_let_296 (_let_75))) (let ((_let_297 (ASSUME :args _let_296))) (let ((_let_298 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_295)) :args ((or _let_276 _let_149 (not _let_295)))) _let_281 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_297 :args (tptp.tc_RealDef_Oreal _let_93 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oplus__class_Oplus V_z V_z T_a)))) :args _let_296))) _let_297 :args (_let_295 false _let_75)) :args (_let_149 false _let_5 false _let_295)))) (let ((_let_299 (not _let_9))) (let ((_let_300 (or _let_299 _let_150))) (let ((_let_301 (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= _let_1 (tptp.c_Power_Opower__class_Opower _let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) T_a))))))) (let ((_let_302 (EQ_RESOLVE (ASSUME :args (_let_74)) (MACRO_SR_EQ_INTRO :args (_let_74 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_303 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_300)) :args ((or _let_299 _let_150 (not _let_300)))) (ASSUME :args (_let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_302 :args (tptp.tc_RealDef_Oreal QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T_a) false))))) :args (_let_301))) _let_302 :args (_let_300 false _let_301)) :args (_let_150 false _let_9 false _let_300)))) (let ((_let_304 (= _let_68 tptp.c_Transcendental_Opi))) (let ((_let_305 (not _let_4))) (let ((_let_306 (not _let_13))) (let ((_let_307 (not _let_7))) (let ((_let_308 (or _let_307 _let_306 _let_305 _let_151 _let_304))) (let ((_let_309 (_let_54))) (let ((_let_310 (ASSUME :args _let_309))) (let ((_let_311 (ASSUME :args (_let_4)))) (let ((_let_312 (ASSUME :args (_let_7)))) (let ((_let_313 (ASSUME :args (_let_13)))) (let ((_let_314 (SYMM (ASSUME :args (_let_104))))) (let ((_let_315 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_308)) :args ((or _let_304 _let_306 _let_307 _let_305 _let_151 (not _let_308)))) _let_314 _let_313 _let_312 _let_311 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_310 :args (tptp.tc_RealDef_Oreal _let_18 tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a)))) :args _let_309))) _let_310 :args (_let_308 false _let_54)) :args (_let_151 true _let_304 false _let_13 false _let_7 false _let_4 false _let_308)))) (let ((_let_316 (or _let_276 _let_153))) (let ((_let_317 (_let_49))) (let ((_let_318 (ASSUME :args _let_317))) (let ((_let_319 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_316)) :args ((or _let_276 _let_153 (not _let_316)))) _let_281 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_318 :args (tptp.tc_RealDef_Oreal QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Int_Onumber__ring T_a) false))))) :args _let_317))) _let_318 :args (_let_316 false _let_49)) :args (_let_153 false _let_5 false _let_316)))) (let ((_let_320 (or _let_307 _let_306 _let_305 _let_155))) (let ((_let_321 (forall ((T_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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)) (= _let_2 (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_2 _let_1 T_a) _let_1 T_a)))))))) (let ((_let_322 (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_323 (_let_321))) (let ((_let_324 ((tptp.c_Int_Onumber__class_Onumber__of V_w T_a)))) (let ((_let_325 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_320)) :args ((or _let_306 _let_307 _let_305 _let_155 (not _let_320)))) _let_313 _let_312 _let_311 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_322 :args (tptp.tc_RealDef_Oreal _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_324)) :args _let_323)) _let_322 :args (_let_320 false _let_321)) :args (_let_155 false _let_13 false _let_7 false _let_4 false _let_320)))) (let ((_let_326 (or _let_307 _let_306 _let_305 _let_156))) (let ((_let_327 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_326)) :args ((or _let_306 _let_307 _let_305 _let_156 (not _let_326)))) _let_313 _let_312 _let_311 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_322 :args (tptp.tc_RealDef_Oreal _let_70 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_324)) :args _let_323)) _let_322 :args (_let_326 false _let_321)) :args (_let_156 false _let_13 false _let_7 false _let_4 false _let_326)))) (let ((_let_328 (or _let_307 _let_306 _let_159))) (let ((_let_329 (_let_33))) (let ((_let_330 (ASSUME :args _let_329))) (let ((_let_331 ((tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) V_y T_a)))) (let ((_let_332 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_328)) :args ((or _let_306 _let_307 _let_159 (not _let_328)))) _let_313 _let_312 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_330 :args (tptp.tc_RealDef_Oreal _let_19 _let_16 tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING _let_331)) :args _let_329))) _let_330 :args (_let_328 false _let_33)) :args (_let_159 false _let_13 false _let_7 false _let_328)))) (let ((_let_333 (or _let_307 _let_306 _let_162))) (let ((_let_334 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_333)) :args ((or _let_306 _let_307 _let_162 (not _let_333)))) _let_313 _let_312 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_330 :args (tptp.tc_RealDef_Oreal _let_19 _let_25 tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING _let_331)) :args _let_329))) _let_330 :args (_let_333 false _let_33)) :args (_let_162 false _let_13 false _let_7 false _let_333)))) (let ((_let_335 (= _let_68 _let_19))) (let ((_let_336 (or _let_307 _let_306 _let_305 _let_164 _let_335))) (let ((_let_337 (_let_53))) (let ((_let_338 (ASSUME :args _let_337))) (let ((_let_339 (= _let_68 _let_65))) (let ((_let_340 (not _let_335))) (let ((_let_341 (or _let_307 _let_306 _let_305 _let_340 _let_339))) (let ((_let_342 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 (= _let_2 _let_1)) (= _let_2 (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a)))))))) (let ((_let_343 (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_344 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_341)) :args ((or _let_339 _let_306 _let_307 _let_305 _let_340 (not _let_341)))) (SYMM (ASSUME :args (_let_69))) _let_313 _let_312 _let_311 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_343 :args (tptp.tc_RealDef_Oreal _let_18 tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))) :args (_let_342))) _let_343 :args (_let_341 false _let_342)) :args (_let_340 true _let_339 false _let_13 false _let_7 false _let_4 false _let_341)))) (let ((_let_345 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_336)) :args ((or _let_306 _let_307 _let_305 _let_335 _let_164 (not _let_336)))) _let_313 _let_312 _let_311 _let_344 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_338 :args (tptp.tc_RealDef_Oreal tptp.c_Transcendental_Opi _let_18 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))) :args _let_337))) _let_338 :args (_let_336 false _let_53)) :args (_let_164 false _let_13 false _let_7 false _let_4 true _let_335 false _let_336)))) (let ((_let_346 (_let_66))) (let ((_let_347 (ASSUME :args _let_346))) (let ((_let_348 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_347 :args (tptp.c_Transcendental_Opi _let_139 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Oinverse__class_Odivide V_y (tptp.c_HOL_Otimes__class_Otimes _let_19 V_z tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :args _let_346))) _let_347 :args (_let_167 false _let_66)))) (let ((_let_349 (_let_62))) (let ((_let_350 (ASSUME :args _let_349))) (let ((_let_351 ((tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_z1 V_z2 tptp.tc_RealDef_Oreal) V_z3 tptp.tc_RealDef_Oreal)))) (let ((_let_352 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_350 :args (_let_68 _let_19 _let_19 QUANTIFIERS_INST_E_MATCHING _let_351)) :args _let_349))) _let_350 :args (_let_168 false _let_62)))) (let ((_let_353 ((tptp.c_HOL_Otimes__class_Otimes V_z1 (tptp.c_HOL_Otimes__class_Otimes V_z2 V_z3 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (let ((_let_354 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_350 :args (_let_160 _let_65 _let_19 QUANTIFIERS_INST_E_MATCHING _let_353)) :args _let_349))) _let_350 :args (_let_171 false _let_62)))) (let ((_let_355 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_259 :args (tptp.v_n tptp.v_d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_258)) _let_259 :args (_let_173 false _let_50)))) (let ((_let_356 (_let_35))) (let ((_let_357 (ASSUME :args _let_356))) (let ((_let_358 ((tptp.c_HOL_Otimes__class_Otimes V_z V_w tptp.tc_RealDef_Oreal)))) (let ((_let_359 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (_let_65 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_356)) _let_357 :args (_let_174 false _let_35)))) (let ((_let_360 (not _let_12))) (let ((_let_361 (or _let_360 _let_178))) (let ((_let_362 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))) (let ((_let_363 (EQ_RESOLVE (ASSUME :args (_let_116)) (MACRO_SR_EQ_INTRO :args (_let_116 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_364 (_let_362))) (let ((_let_365 ((tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))) (let ((_let_366 (ASSUME :args (_let_12)))) (let ((_let_367 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_361)) :args ((or _let_360 _let_178 (not _let_361)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (tptp.tc_RealDef_Oreal _let_65 QUANTIFIERS_INST_E_MATCHING _let_365)) :args _let_364)) _let_363 :args (_let_361 false _let_362)) :args (_let_178 false _let_12 false _let_361)))) (let ((_let_368 (or _let_360 _let_179))) (let ((_let_369 (or _let_307 _let_182))) (let ((_let_370 (_let_106))) (let ((_let_371 (ASSUME :args _let_370))) (let ((_let_372 (or _let_360 _let_183))) (let ((_let_373 (_let_99))) (let ((_let_374 (ASSUME :args _let_373))) (let ((_let_375 ((tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a)))) (let ((_let_376 (or _let_360 _let_186))) (let ((_let_377 (_let_61))) (let ((_let_378 (ASSUME :args _let_377))) (let ((_let_379 ((tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a)))) (let ((_let_380 (or _let_360 _let_187))) (let ((_let_381 (_let_60))) (let ((_let_382 (ASSUME :args _let_381))) (let ((_let_383 ((tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) V_rx T_a)))) (let ((_let_384 (or _let_360 _let_189))) (let ((_let_385 (or _let_307 _let_306 _let_191))) (let ((_let_386 (_let_42))) (let ((_let_387 (ASSUME :args _let_386))) (let ((_let_388 (or _let_307 _let_304 _let_192))) (let ((_let_389 (_let_41))) (let ((_let_390 (ASSUME :args _let_389))) (let ((_let_391 ((tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a)))) (let ((_let_392 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_388)) :args ((or _let_304 _let_307 _let_192 (not _let_388)))) _let_314 _let_312 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_390 :args (tptp.tc_RealDef_Oreal tptp.c_Transcendental_Opi _let_160 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_391)) :args _let_389))) _let_390 :args (_let_388 false _let_41)) :args (_let_192 true _let_304 false _let_7 false _let_388)))) (let ((_let_393 (or _let_360 _let_195))) (let ((_let_394 (_let_38))) (let ((_let_395 (ASSUME :args _let_394))) (let ((_let_396 ((tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a)))) (let ((_let_397 (or _let_360 _let_198))) (let ((_let_398 (or _let_307 _let_306 _let_199 _let_335))) (let ((_let_399 (_let_34))) (let ((_let_400 (ASSUME :args _let_399))) (let ((_let_401 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_398)) :args ((or _let_306 _let_307 _let_335 _let_199 (not _let_398)))) _let_313 _let_312 _let_344 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_400 :args (tptp.tc_RealDef_Oreal _let_19 tptp.c_Transcendental_Opi _let_139 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))) :args _let_399))) _let_400 :args (_let_398 false _let_34)) :args (_let_199 false _let_13 false _let_7 true _let_335 false _let_398)))) (let ((_let_402 (or _let_307 _let_306 _let_202))) (let ((_let_403 (or _let_307 _let_306 _let_205))) (let ((_let_404 (or _let_307 _let_306 _let_208))) (let ((_let_405 (or _let_307 _let_306 _let_210))) (let ((_let_406 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_246 :args (_let_148 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_247)) :args _let_245)) _let_246 :args (_let_212 false _let_114)))) (let ((_let_407 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (_let_68 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_356)) _let_357 :args (_let_217 false _let_35)))) (let ((_let_408 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (_let_200 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_356)) _let_357 :args (_let_221 false _let_35)))) (let ((_let_409 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (_let_160 _let_65 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_356)) _let_357 :args (_let_223 false _let_35)))) (let ((_let_410 (or _let_360 _let_224))) (let ((_let_411 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_410)) :args ((or _let_360 _let_224 (not _let_410)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (tptp.tc_RealDef_Oreal _let_25 QUANTIFIERS_INST_E_MATCHING _let_365)) :args _let_364)) _let_363 :args (_let_410 false _let_362)) :args (_let_224 false _let_12 false _let_410)))) (let ((_let_412 (not _let_11))) (let ((_let_413 (or _let_412 _let_226))) (let ((_let_414 (_let_110))) (let ((_let_415 (ASSUME :args _let_414))) (let ((_let_416 (ASSUME :args (_let_11)))) (let ((_let_417 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_413)) :args ((or _let_412 _let_226 (not _let_413)))) _let_416 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_415 :args (tptp.tc_RealDef_Oreal _let_200 _let_25 _let_25 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_xa V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_xa V_y T_a) T_a)))) :args _let_414))) _let_415 :args (_let_413 false _let_110)) :args (_let_226 false _let_11 false _let_413)))) (let ((_let_418 (or _let_412 _let_227))) (let ((_let_419 (_let_109))) (let ((_let_420 (ASSUME :args _let_419))) (let ((_let_421 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_418)) :args ((or _let_412 _let_227 (not _let_418)))) _let_416 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_420 :args (tptp.tc_RealDef_Oreal _let_200 _let_200 _let_25 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a_H V_b T_a) T_a)))) :args _let_419))) _let_420 :args (_let_418 false _let_109)) :args (_let_227 false _let_11 false _let_418)))) (let ((_let_422 (or _let_307 _let_306 _let_276 _let_228))) (let ((_let_423 (_let_67))) (let ((_let_424 (ASSUME :args _let_423))) (let ((_let_425 ((tptp.c_HOL_Oinverse__class_Odivide V_x (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls T_a) T_a)))) (let ((_let_426 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_422)) :args ((or _let_306 _let_307 _let_276 _let_228 (not _let_422)))) _let_313 _let_312 _let_281 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_424 :args (tptp.tc_RealDef_Oreal _let_26 QUANTIFIERS_INST_E_MATCHING _let_425)) :args _let_423))) _let_424 :args (_let_422 false _let_67)) :args (_let_228 false _let_13 false _let_7 false _let_5 false _let_422)))) (let ((_let_427 (not _let_153))) (let ((_let_428 (or _let_307 _let_306 _let_305 _let_427 _let_229))) (let ((_let_429 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 (= _let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (= _let_1 (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) V_c T_a))))))) (let ((_let_430 (EQ_RESOLVE (ASSUME :args (_let_64)) (MACRO_SR_EQ_INTRO :args (_let_64 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_431 (or _let_360 _let_230))) (let ((_let_432 (or _let_307 _let_306 _let_305 _let_231 _let_335))) (let ((_let_433 (_let_56))) (let ((_let_434 (ASSUME :args _let_433))) (let ((_let_435 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_432)) :args ((or _let_306 _let_307 _let_305 _let_335 _let_231 (not _let_432)))) _let_313 _let_312 _let_311 _let_344 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_434 :args (tptp.tc_RealDef_Oreal _let_169 _let_18 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))) :args _let_433))) _let_434 :args (_let_432 false _let_56)) :args (_let_231 false _let_13 false _let_7 false _let_4 true _let_335 false _let_432)))) (let ((_let_436 (or _let_307 _let_306 _let_233))) (let ((_let_437 ((tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_z V_w T_a) T_a)))) (let ((_let_438 (or _let_307 _let_306 _let_234))) (let ((_let_439 (or _let_360 _let_236))) (let ((_let_440 (_let_40))) (let ((_let_441 (ASSUME :args _let_440))) (let ((_let_442 ((tptp.c_HOL_Otimes__class_Otimes V_rx (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) V_ry T_a) T_a)))) (let ((_let_443 (or _let_360 _let_237))) (let ((_let_444 (or _let_307 _let_306 _let_238))) (let ((_let_445 (= _let_68 _let_25))) (let ((_let_446 (or _let_307 _let_306 _let_239 _let_445))) (let ((_let_447 (_let_52))) (let ((_let_448 (ASSUME :args _let_447))) (let ((_let_449 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide _let_211 _let_141 tptp.tc_RealDef_Oreal) _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_450 (tptp.c_HOL_Oord__class_Oless _let_190 _let_68 tptp.tc_RealDef_Oreal))) (let ((_let_451 (not _let_445))) (let ((_let_452 (tptp.c_HOL_Oord__class_Oless _let_148 _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_453 (not _let_452))) (let ((_let_454 (not _let_10))) (let ((_let_455 (or _let_454 _let_449 _let_453))) (let ((_let_456 (_let_108))) (let ((_let_457 (ASSUME :args _let_456))) (let ((_let_458 (tptp.c_HOL_Oord__class_Oless _let_68 _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_459 (tptp.c_HOL_Oord__class_Oless _let_68 _let_160 tptp.tc_RealDef_Oreal))) (let ((_let_460 (not _let_459))) (let ((_let_461 (tptp.c_HOL_Oord__class_Oless _let_25 _let_68 tptp.tc_RealDef_Oreal))) (let ((_let_462 (or _let_454 _let_306 _let_461 _let_458 _let_460))) (let ((_let_463 (_let_59))) (let ((_let_464 (ASSUME :args _let_463))) (let ((_let_465 (tptp.c_HOL_Otimes__class_Otimes _let_68 _let_26 tptp.tc_RealDef_Oreal))) (let ((_let_466 (= _let_465 (tptp.c_HOL_Otimes__class_Otimes _let_26 _let_68 tptp.tc_RealDef_Oreal)))) (let ((_let_467 (= _let_68 _let_465))) (let ((_let_468 (tptp.c_HOL_Oord__class_Oless _let_465 _let_160 tptp.tc_RealDef_Oreal))) (let ((_let_469 (tptp.c_HOL_Otimes__class_Otimes _let_154 _let_175 tptp.tc_RealDef_Oreal))) (let ((_let_470 (= _let_469 (tptp.c_HOL_Otimes__class_Otimes _let_465 (tptp.c_HOL_Otimes__class_Otimes _let_19 _let_25 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (let ((_let_471 (tptp.c_HOL_Otimes__class_Otimes _let_19 _let_175 tptp.tc_RealDef_Oreal))) (let ((_let_472 (= _let_469 (tptp.c_HOL_Otimes__class_Otimes _let_68 _let_471 tptp.tc_RealDef_Oreal)))) (let ((_let_473 (= (tptp.c_HOL_Otimes__class_Otimes _let_68 _let_175 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes _let_26 _let_216 tptp.tc_RealDef_Oreal)))) (let ((_let_474 (= _let_68 (tptp.c_HOL_Oinverse__class_Odivide _let_20 _let_152 tptp.tc_RealDef_Oreal)))) (let ((_let_475 (= _let_94 (tptp.c_HOL_Otimes__class_Otimes _let_141 _let_93 tptp.tc_RealDef_Oreal)))) (let ((_let_476 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (_let_68 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_356)) _let_357 :args (_let_466 false _let_35)))) (let ((_let_477 (or _let_360 _let_467))) (let ((_let_478 (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= _let_1 (tptp.c_HOL_Otimes__class_Otimes _let_1 V_a T_a))))))) (let ((_let_479 (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_480 (_let_478))) (let ((_let_481 ((tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))) (let ((_let_482 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_477)) :args ((or _let_360 _let_467 (not _let_477)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_479 :args (tptp.tc_RealDef_Oreal _let_26 QUANTIFIERS_INST_E_MATCHING _let_481)) :args _let_480)) _let_479 :args (_let_477 false _let_478)) :args (_let_467 false _let_12 false _let_477)))) (let ((_let_483 (tptp.c_HOL_Oinverse__class_Odivide _let_68 _let_19 tptp.tc_RealDef_Oreal))) (let ((_let_484 (tptp.c_HOL_Oord__class_Oless _let_483 _let_160 tptp.tc_RealDef_Oreal))) (let ((_let_485 (tptp.c_HOL_Oord__class_Oless _let_68 _let_19 tptp.tc_RealDef_Oreal))) (let ((_let_486 (not _let_485))) (let ((_let_487 (not _let_458))) (let ((_let_488 (or _let_454 _let_306 _let_459 _let_487 _let_486))) (let ((_let_489 (tptp.c_lessequals _let_483 _let_160 tptp.tc_RealDef_Oreal))) (let ((_let_490 (not _let_489))) (let ((_let_491 (= _let_160 _let_483))) (let ((_let_492 (not _let_6))) (let ((_let_493 (or _let_492 _let_484 _let_491 _let_490))) (let ((_let_494 (tptp.c_lessequals _let_68 _let_25 tptp.tc_RealDef_Oreal))) (let ((_let_495 (not _let_494))) (let ((_let_496 (or _let_492 _let_458 _let_445 _let_495))) (let ((_let_497 (tptp.c_Complex_Ocis _let_68))) (let ((_let_498 (tptp.c_Power_Opower__class_Opower _let_497 _let_31 tptp.tc_Complex_Ocomplex))) (let ((_let_499 (= _let_498 (tptp.c_Complex_Ocis (tptp.c_HOL_Otimes__class_Otimes _let_77 _let_68 tptp.tc_RealDef_Oreal))))) (let ((_let_500 (tptp.c_HOL_Otimes__class_Otimes tptp.v_k tptp.v_d tptp.tc_nat))) (let ((_let_501 (= _let_23 _let_500))) (let ((_let_502 (= _let_20 (tptp.c_HOL_Otimes__class_Otimes tptp.c_Transcendental_Opi _let_19 tptp.tc_RealDef_Oreal)))) (let ((_let_503 (tptp.c_HOL_Oone__class_Oone tptp.tc_Complex_Ocomplex))) (let ((_let_504 (= _let_503 (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) _let_31 tptp.tc_Complex_Ocomplex)))) (let ((_let_505 (= _let_140 _let_139))) (let ((_let_506 (= _let_20 (tptp.c_HOL_Oplus__class_Oplus tptp.c_Transcendental_Opi tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal)))) (let ((_let_507 (tptp.c_HOL_Otimes__class_Otimes _let_19 _let_93 tptp.tc_RealDef_Oreal))) (let ((_let_508 (= (tptp.c_HOL_Otimes__class_Otimes _let_65 _let_507 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes _let_163 _let_93 tptp.tc_RealDef_Oreal)))) (let ((_let_509 (tptp.c_HOL_Otimes__class_Otimes _let_130 _let_127 tptp.tc_RealDef_Oreal))) (let ((_let_510 (= (tptp.c_RealDef_Oreal _let_500 tptp.tc_nat) _let_509))) (let ((_let_511 (= _let_161 (tptp.c_HOL_Otimes__class_Otimes tptp.c_Transcendental_Opi _let_160 tptp.tc_RealDef_Oreal)))) (let ((_let_512 (tptp.c_HOL_Oplus__class_Oplus _let_169 _let_169 tptp.tc_RealDef_Oreal))) (let ((_let_513 (= (tptp.c_HOL_Otimes__class_Otimes _let_160 _let_123 tptp.tc_RealDef_Oreal) _let_512))) (let ((_let_514 (tptp.c_HOL_Oplus__class_Oplus _let_65 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal))) (let ((_let_515 (tptp.c_HOL_Oplus__class_Oplus _let_514 _let_65 tptp.tc_RealDef_Oreal))) (let ((_let_516 (= (tptp.c_HOL_Oplus__class_Oplus _let_123 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal) _let_515))) (let ((_let_517 (= _let_503 _let_498))) (let ((_let_518 (= _let_148 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus _let_148 _let_26 tptp.tc_RealDef_Oreal) _let_26 tptp.tc_RealDef_Oreal)))) (let ((_let_519 (= _let_169 (tptp.c_HOL_Ominus__class_Ominus _let_512 _let_169 tptp.tc_RealDef_Oreal)))) (let ((_let_520 (= (tptp.c_HOL_Otimes__class_Otimes _let_130 (tptp.c_HOL_Otimes__class_Otimes _let_127 _let_26 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes _let_509 _let_26 tptp.tc_RealDef_Oreal)))) (let ((_let_521 (tptp.c_HOL_Otimes__class_Otimes _let_509 _let_127 tptp.tc_RealDef_Oreal))) (let ((_let_522 (tptp.c_HOL_Otimes__class_Otimes _let_130 (tptp.c_HOL_Otimes__class_Otimes _let_127 _let_127 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (let ((_let_523 (= _let_522 _let_521))) (let ((_let_524 (= (tptp.c_HOL_Otimes__class_Otimes _let_200 _let_172 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes _let_200 _let_16 tptp.tc_RealDef_Oreal) _let_127 tptp.tc_RealDef_Oreal)))) (let ((_let_525 (tptp.c_HOL_Oinverse__class_Odivide _let_20 _let_77 tptp.tc_RealDef_Oreal))) (let ((_let_526 (= (tptp.c_Power_Opower__class_Opower (tptp.c_Complex_Ocis _let_525) _let_23 tptp.tc_Complex_Ocomplex) (tptp.c_Complex_Ocis (tptp.c_HOL_Otimes__class_Otimes _let_132 _let_525 tptp.tc_RealDef_Oreal))))) (let ((_let_527 (= _let_26 (tptp.c_HOL_Oplus__class_Oplus _let_68 _let_26 tptp.tc_RealDef_Oreal)))) (let ((_let_528 (= _let_160 (tptp.c_HOL_Otimes__class_Otimes _let_160 _let_140 tptp.tc_RealDef_Oreal)))) (let ((_let_529 (= _let_503 (tptp.c_Power_Opower__class_Opower _let_503 _let_23 tptp.tc_Complex_Ocomplex)))) (let ((_let_530 (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus _let_514 _let_68 tptp.tc_RealDef_Oreal) _let_65 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus _let_514 _let_177 tptp.tc_RealDef_Oreal)))) (let ((_let_531 (tptp.c_HOL_Otimes__class_Otimes _let_507 _let_19 tptp.tc_RealDef_Oreal))) (let ((_let_532 (= (tptp.c_HOL_Oplus__class_Oplus _let_515 _let_531 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus _let_514 _let_531 tptp.tc_RealDef_Oreal) _let_65 tptp.tc_RealDef_Oreal)))) (let ((_let_533 (tptp.c_HOL_Otimes__class_Otimes _let_127 _let_509 tptp.tc_RealDef_Oreal))) (let ((_let_534 (= _let_522 _let_533))) (let ((_let_535 (= (tptp.c_HOL_Otimes__class_Otimes _let_94 _let_509 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes _let_130 (tptp.c_HOL_Otimes__class_Otimes _let_94 _let_127 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (let ((_let_536 (= _let_68 (tptp.c_HOL_Otimes__class_Otimes _let_68 _let_16 tptp.tc_RealDef_Oreal)))) (let ((_let_537 (= _let_16 (tptp.c_HOL_Oinverse__class_Odivide _let_172 _let_127 tptp.tc_RealDef_Oreal)))) (let ((_let_538 (= _let_160 (tptp.c_HOL_Oinverse__class_Odivide _let_194 _let_127 tptp.tc_RealDef_Oreal)))) (let ((_let_539 (tptp.c_HOL_Otimes__class_Otimes _let_200 _let_127 tptp.tc_RealDef_Oreal))) (let ((_let_540 (= (tptp.c_HOL_Otimes__class_Otimes _let_509 _let_539 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes _let_200 _let_521 tptp.tc_RealDef_Oreal)))) (let ((_let_541 (= (tptp.c_HOL_Otimes__class_Otimes _let_539 _let_509 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes _let_200 _let_533 tptp.tc_RealDef_Oreal)))) (let ((_let_542 (or _let_360 _let_475))) (let ((_let_543 (_let_97))) (let ((_let_544 (ASSUME :args _let_543))) (let ((_let_545 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_542)) :args ((or _let_360 _let_475 (not _let_542)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_544 :args (tptp.tc_RealDef_Oreal _let_93 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oplus__class_Oplus V_m V_m T_a)))) :args _let_543)) _let_544 :args (_let_542 false _let_97)) :args (_let_475 false _let_12 false _let_542)))) (let ((_let_546 (or _let_307 _let_306 _let_276 _let_474))) (let ((_let_547 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_546)) :args ((or _let_306 _let_307 _let_276 _let_474 (not _let_546)))) _let_313 _let_312 _let_281 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_424 :args (tptp.tc_RealDef_Oreal _let_20 QUANTIFIERS_INST_E_MATCHING _let_425)) :args _let_423))) _let_424 :args (_let_546 false _let_67)) :args (_let_474 false _let_13 false _let_7 false _let_5 false _let_546)))) (let ((_let_548 (or _let_360 _let_473))) (let ((_let_549 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_548)) :args ((or _let_360 _let_473 (not _let_548)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_378 :args (tptp.tc_RealDef_Oreal _let_68 _let_26 _let_25 QUANTIFIERS_INST_E_MATCHING _let_379)) :args _let_377)) _let_378 :args (_let_548 false _let_61)) :args (_let_473 false _let_12 false _let_548)))) (let ((_let_550 (or _let_360 _let_472))) (let ((_let_551 (_let_39))) (let ((_let_552 (ASSUME :args _let_551))) (let ((_let_553 (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a))) (let ((_let_554 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_550)) :args ((or _let_360 _let_472 (not _let_550)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_552 :args (tptp.tc_RealDef_Oreal _let_68 _let_19 _let_26 _let_25 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) _let_553 T_a)))) :args _let_551)) _let_552 :args (_let_550 false _let_39)) :args (_let_472 false _let_12 false _let_550)))) (let ((_let_555 (or _let_360 _let_470))) (let ((_let_556 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_555)) :args ((or _let_360 _let_470 (not _let_555)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (tptp.tc_RealDef_Oreal _let_68 _let_19 _let_26 _let_25 QUANTIFIERS_INST_E_MATCHING _let_396)) :args _let_394)) _let_395 :args (_let_555 false _let_38)) :args (_let_470 false _let_12 false _let_555)))) (let ((_let_557 (not _let_466))) (let ((_let_558 (not _let_228))) (let ((_let_559 (not _let_467))) (let ((_let_560 (not _let_227))) (let ((_let_561 (not _let_226))) (let ((_let_562 (not _let_212))) (let ((_let_563 (not _let_224))) (let ((_let_564 (not _let_470))) (let ((_let_565 (not _let_472))) (let ((_let_566 (not _let_473))) (let ((_let_567 (not _let_168))) (let ((_let_568 (not _let_474))) (let ((_let_569 (not _let_162))) (let ((_let_570 (not _let_156))) (let ((_let_571 (not _let_129))) (let ((_let_572 (not _let_150))) (let ((_let_573 (not _let_149))) (let ((_let_574 (not _let_147))) (let ((_let_575 (not _let_146))) (let ((_let_576 (not _let_144))) (let ((_let_577 (not _let_475))) (let ((_let_578 (not _let_122))) (let ((_let_579 (not _let_120))) (let ((_let_580 (not _let_138))) (let ((_let_581 (not _let_119))) (let ((_let_582 (not _let_118))) (let ((_let_583 (or))) (let ((_let_584 (not _let_468))) (let ((_let_585 (MACRO_SR_PRED_INTRO :args ((= (not _let_584) _let_468))))) (let ((_let_586 (REFL :args (_let_557)))) (let ((_let_587 (REFL :args (_let_558)))) (let ((_let_588 (REFL :args (_let_559)))) (let ((_let_589 (REFL :args (_let_560)))) (let ((_let_590 (REFL :args (_let_561)))) (let ((_let_591 (REFL :args (_let_562)))) (let ((_let_592 (REFL :args (_let_563)))) (let ((_let_593 (REFL :args (_let_564)))) (let ((_let_594 (REFL :args (_let_565)))) (let ((_let_595 (REFL :args (_let_566)))) (let ((_let_596 (REFL :args (_let_567)))) (let ((_let_597 (REFL :args (_let_568)))) (let ((_let_598 (REFL :args (_let_569)))) (let ((_let_599 (REFL :args (_let_570)))) (let ((_let_600 (REFL :args (_let_427)))) (let ((_let_601 (REFL :args (_let_571)))) (let ((_let_602 (REFL :args (_let_572)))) (let ((_let_603 (REFL :args (_let_573)))) (let ((_let_604 (REFL :args (_let_574)))) (let ((_let_605 (REFL :args (_let_575)))) (let ((_let_606 (REFL :args (_let_576)))) (let ((_let_607 (REFL :args (_let_577)))) (let ((_let_608 (REFL :args (_let_578)))) (let ((_let_609 (REFL :args (_let_579)))) (let ((_let_610 (REFL :args (_let_580)))) (let ((_let_611 (REFL :args (_let_581)))) (let ((_let_612 (REFL :args (_let_582)))) (let ((_let_613 (and _let_118 _let_119 _let_138 _let_120 _let_122 _let_475 _let_144 _let_146 _let_147 _let_149 _let_150 _let_129 _let_153 _let_156 _let_162 _let_474 _let_168 _let_473 _let_472 _let_470 _let_224 _let_212 _let_226 _let_227 _let_467 _let_228 _let_466 _let_584))) (let ((_let_614 (ASSUME :args (_let_584)))) (let ((_let_615 (FALSE_INTRO _let_614))) (let ((_let_616 (APPLY_UF tptp.c_HOL_Oord__class_Oless))) (let ((_let_617 (REFL :args (tptp.tc_RealDef_Oreal)))) (let ((_let_618 (REFL :args (_let_160)))) (let ((_let_619 (ASSUME :args (_let_466)))) (let ((_let_620 (SYMM _let_619))) (let ((_let_621 (APPLY_UF tptp.c_HOL_Otimes__class_Otimes))) (let ((_let_622 (REFL :args (_let_68)))) (let ((_let_623 (ASSUME :args (_let_162)))) (let ((_let_624 (SYMM _let_623))) (let ((_let_625 (CONG _let_624 _let_622 _let_617 :args _let_621))) (let ((_let_626 (SYMM _let_242))) (let ((_let_627 (ASSUME :args (_let_122)))) (let ((_let_628 (SYMM _let_627))) (let ((_let_629 (SYMM _let_628))) (let ((_let_630 (SYMM _let_629))) (let ((_let_631 (ASSUME :args (_let_138)))) (let ((_let_632 (SYMM _let_631))) (let ((_let_633 (SYMM _let_632))) (let ((_let_634 (CONG _let_633 _let_622 _let_617 :args _let_621))) (let ((_let_635 (TRANS _let_634 _let_630 _let_626))) (let ((_let_636 (SYMM _let_634))) (let ((_let_637 (ASSUME :args (_let_149)))) (let ((_let_638 (SYMM _let_637))) (let ((_let_639 (ASSUME :args (_let_212)))) (let ((_let_640 (SYMM _let_639))) (let ((_let_641 (APPLY_UF tptp.c_HOL_Ominus__class_Ominus))) (let ((_let_642 (REFL :args (_let_25)))) (let ((_let_643 (APPLY_UF tptp.c_HOL_Oplus__class_Oplus))) (let ((_let_644 (ASSUME :args (_let_153)))) (let ((_let_645 (SYMM _let_644))) (let ((_let_646 (TRANS _let_645 _let_242 _let_629 _let_636))) (let ((_let_647 (CONG _let_644 _let_642 _let_617 :args _let_643))) (let ((_let_648 (ASSUME :args (_let_224)))) (let ((_let_649 (SYMM (SYMM _let_648)))) (let ((_let_650 (ASSUME :args (_let_228)))) (let ((_let_651 (SYMM _let_650))) (let ((_let_652 (APPLY_UF tptp.c_HOL_Oinverse__class_Odivide))) (let ((_let_653 (REFL :args (_let_26)))) (let ((_let_654 (CONG _let_653 _let_644 _let_617 :args _let_652))) (let ((_let_655 (SYMM _let_243))) (let ((_let_656 (SYMM _let_655))) (let ((_let_657 (SYMM _let_656))) (let ((_let_658 (CONG _let_653 _let_657 _let_617 :args _let_652))) (let ((_let_659 (TRANS _let_658 _let_654 _let_651 _let_242 _let_629 _let_636))) (let ((_let_660 (TRANS _let_659 _let_635))) (let ((_let_661 (ASSUME :args (_let_226)))) (let ((_let_662 (SYMM _let_661))) (let ((_let_663 (SYMM _let_662))) (let ((_let_664 (ASSUME :args (_let_227)))) (let ((_let_665 (SYMM _let_664))) (let ((_let_666 (SYMM _let_660))) (let ((_let_667 (CONG _let_666 _let_666 _let_617 :args _let_641))) (let ((_let_668 (CONG _let_626 _let_635 _let_617 :args _let_641))) (let ((_let_669 (ASSUME :args (_let_120)))) (let ((_let_670 (SYMM _let_669))) (let ((_let_671 (SYMM _let_670))) (let ((_let_672 (REFL :args (_let_19)))) (let ((_let_673 (SYMM _let_635))) (let ((_let_674 (CONG _let_673 _let_672 _let_617 :args _let_621))) (let ((_let_675 (TRANS _let_674 _let_638 _let_629 _let_636))) (let ((_let_676 (SYMM _let_675))) (let ((_let_677 (TRANS _let_673 _let_676))) (let ((_let_678 (CONG _let_677 _let_642 _let_617 :args _let_621))) (let ((_let_679 (ASSUME :args (_let_473)))) (let ((_let_680 (SYMM (SYMM _let_679)))) (let ((_let_681 (ASSUME :args (_let_129)))) (let ((_let_682 (SYMM _let_681))) (let ((_let_683 (CONG _let_624 _let_682 _let_617 :args _let_621))) (let ((_let_684 (TRANS (CONG _let_623 (REFL :args (_let_128)) _let_617 :args _let_621) _let_683))) (let ((_let_685 (CONG _let_622 _let_684 _let_617 :args _let_621))) (let ((_let_686 (SYMM _let_684))) (let ((_let_687 (ASSUME :args (_let_470)))) (let ((_let_688 (SYMM _let_687))) (let ((_let_689 (TRANS _let_688 (CONG (SYMM _let_677) _let_686 _let_617 :args _let_621) _let_685 _let_680 (CONG _let_653 _let_678 _let_617 :args _let_621) (CONG _let_623 (TRANS (SYMM _let_678) (TRANS _let_678 (CONG (TRANS _let_675 (TRANS _let_671 _let_668 _let_667)) _let_642 _let_617 :args _let_621) _let_665 _let_663 (CONG _let_660 (TRANS (TRANS (CONG (TRANS _let_649 _let_647 (CONG (TRANS _let_646 (TRANS _let_634 _let_630 _let_637)) _let_642 _let_617 :args _let_643)) _let_642 _let_617 :args _let_641) _let_640 _let_638 _let_629 _let_636) _let_635) _let_617 :args _let_621) _let_634 _let_630 _let_626)) _let_617 :args _let_621) _let_625 _let_620))) (let ((_let_690 (ASSUME :args (_let_472)))) (let ((_let_691 (SYMM _let_690))) (let ((_let_692 (REFL :args (_let_471)))) (let ((_let_693 (ASSUME :args (_let_474)))) (let ((_let_694 (SYMM _let_693))) (let ((_let_695 (SYMM _let_694))) (let ((_let_696 (SYMM _let_695))) (let ((_let_697 (TRANS _let_657 _let_644))) (let ((_let_698 (ASSUME :args (_let_475)))) (let ((_let_699 (SYMM _let_698))) (let ((_let_700 (ASSUME :args (_let_147)))) (let ((_let_701 (SYMM _let_700))) (let ((_let_702 (SYMM _let_701))) (let ((_let_703 (CONG _let_702 (REFL :args (_let_93)) _let_617 :args _let_621))) (let ((_let_704 (TRANS _let_703 _let_699 _let_626 _let_656))) (let ((_let_705 (REFL :args (_let_20)))) (let ((_let_706 (SYMM _let_704))) (let ((_let_707 (CONG _let_705 _let_706 _let_617 :args _let_652))) (let ((_let_708 (TRANS _let_707 (CONG _let_705 (TRANS _let_704 _let_697) _let_617 :args _let_652) _let_696 _let_242 _let_629 _let_636))) (let ((_let_709 (TRANS (CONG (TRANS _let_646 (SYMM _let_708)) _let_692 _let_617 :args _let_621) (CONG (TRANS _let_708 _let_635) _let_692 _let_617 :args _let_621) _let_691 _let_687))) (let ((_let_710 (CONG (TRANS _let_709 _let_689) _let_618 _let_617 :args _let_616))) (let ((_let_711 (CONG _let_635 _let_622 _let_617 :args _let_621))) (let ((_let_712 (ASSUME :args (_let_146)))) (let ((_let_713 (SYMM _let_712))) (let ((_let_714 (APPLY_UF tptp.c_Power_Opower__class_Opower))) (let ((_let_715 (REFL :args (_let_145)))) (let ((_let_716 (ASSUME :args (_let_150)))) (let ((_let_717 (SYMM _let_716))) (let ((_let_718 (CONG _let_717 _let_715 _let_617 :args _let_714))) (let ((_let_719 (ASSUME :args (_let_168)))) (let ((_let_720 (SYMM _let_719))) (let ((_let_721 (SYMM _let_720))) (let ((_let_722 (ASSUME :args (_let_144)))) (let ((_let_723 (SYMM _let_722))) (let ((_let_724 (TRANS (SYMM _let_723) (CONG _let_701 _let_672 _let_617 :args _let_621)))) (let ((_let_725 (ASSUME :args (_let_156)))) (let ((_let_726 (SYMM _let_725))) (let ((_let_727 (CONG _let_726 _let_724 _let_617 :args _let_621))) (let ((_let_728 (REFL :args (_let_71)))) (let ((_let_729 (CONG _let_725 _let_728 _let_617 :args _let_621))) (let ((_let_730 (TRANS (CONG (TRANS (TRANS _let_729 _let_727 _let_721 (CONG _let_675 _let_672 _let_617 :args _let_621) _let_638 _let_626) _let_716) _let_715 _let_617 :args _let_714) _let_718 _let_713 _let_711))) (let ((_let_731 (CONG (TRANS _let_730 _let_635) _let_653 _let_617 :args _let_621))) (let ((_let_732 (CONG (TRANS _let_646 (SYMM _let_730)) _let_653 _let_617 :args _let_621))) (let ((_let_733 (ASSUME :args (_let_467)))) (let ((_let_734 (SYMM _let_733))) (let ((_let_735 (SYMM _let_734))) (let ((_let_736 (CONG (TRANS _let_673 (TRANS _let_634 _let_630 _let_626 _let_735 (SYMM _let_731) (SYMM _let_732)) (TRANS _let_732 _let_731) (SYMM _let_689) (SYMM _let_709)) _let_618 _let_617 :args _let_616))) (let ((_let_737 (not _let_484))) (let ((_let_738 (not _let_155))) (let ((_let_739 (REFL :args (_let_738)))) (let ((_let_740 (and _let_118 _let_119 _let_138 _let_120 _let_122 _let_475 _let_144 _let_146 _let_147 _let_149 _let_150 _let_129 _let_153 _let_155 _let_156 _let_162 _let_474 _let_168 _let_473 _let_472 _let_470 _let_224 _let_212 _let_226 _let_227 _let_467 _let_228 _let_466 _let_584))) (let ((_let_741 (ASSUME :args (_let_155)))) (let ((_let_742 (SYMM _let_741))) (let ((_let_743 (SYMM _let_742))) (let ((_let_744 (SYMM _let_743))) (let ((_let_745 (CONG _let_635 _let_635 _let_617 :args _let_641))) (let ((_let_746 (TRANS _let_745 (SYMM _let_668) _let_670))) (let ((_let_747 (ASSUME :args (_let_10)))) (let ((_let_748 (not _let_88))) (let ((_let_749 (or _let_454 _let_306 _let_101 _let_485 _let_748))) (let ((_let_750 (_let_58))) (let ((_let_751 (ASSUME :args _let_750))) (let ((_let_752 (ASSUME :args (_let_102)))) (let ((_let_753 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_749)) :args ((or _let_101 _let_748 _let_306 _let_454 _let_485 (not _let_749)))) _let_752 (ASSUME :args (_let_88)) _let_313 _let_747 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_751 :args (tptp.tc_RealDef_Oreal tptp.c_Transcendental_Opi _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)))) :args _let_750)) _let_751 :args (_let_749 false _let_58)) :args (_let_485 true _let_101 false _let_88 false _let_13 false _let_10 false _let_749)))) (let ((_let_754 (_let_63))) (let ((_let_755 (ASSUME :args _let_754))) (let ((_let_756 (ASSUME :args (_let_6)))) (let ((_let_757 (tptp.c_lessequals _let_68 _let_160 tptp.tc_RealDef_Oreal))) (let ((_let_758 (tptp.c_lessequals _let_68 _let_19 tptp.tc_RealDef_Oreal))) (let ((_let_759 (not _let_758))) (let ((_let_760 (or _let_757 _let_759 _let_495))) (let ((_let_761 (_let_96))) (let ((_let_762 (ASSUME :args _let_761))) (let ((_let_763 (_let_113))) (let ((_let_764 (ASSUME :args _let_763))) (let ((_let_765 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_764 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_RealDef_Oreal V_n tptp.tc_nat)))) :args _let_763)) _let_764 :args (_let_494 false _let_113)))) (let ((_let_766 (not _let_87))) (let ((_let_767 (tptp.c_lessequals tptp.c_Transcendental_Opi _let_68 tptp.tc_RealDef_Oreal))) (let ((_let_768 (or _let_758 _let_767 _let_766))) (let ((_let_769 (_let_103))) (let ((_let_770 (ASSUME :args _let_769))) (let ((_let_771 (not _let_767))) (let ((_let_772 (or _let_492 _let_101 _let_304 _let_771))) (let ((_let_773 (_let_117))) (let ((_let_774 (ASSUME :args _let_773))) (let ((_let_775 ((not (= (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) true))))) (let ((_let_776 (and _let_118 _let_138 _let_120 _let_122 _let_149 _let_155 _let_757))) (let ((_let_777 (ASSUME :args (_let_757)))) (let ((_let_778 (TRANS _let_634 _let_628 _let_626))) (let ((_let_779 (CONG _let_778 _let_672 _let_617 :args _let_621))) (let ((_let_780 (SYMM _let_638))) (let ((_let_781 (TRANS _let_634 _let_628 _let_780 _let_779))) (let ((_let_782 (SYMM _let_778))) (let ((_let_783 (CONG _let_242 _let_782 _let_617 :args _let_641))) (let ((_let_784 (TRANS (CONG _let_778 _let_778 _let_617 :args _let_641) _let_783 _let_670))) (let ((_let_785 (CONG (TRANS _let_784 _let_781) _let_672 _let_617 :args _let_652))) (let ((_let_786 (CONG (TRANS _let_782 (SYMM _let_784)) _let_672 _let_617 :args _let_652))) (let ((_let_787 (not _let_1))) (let ((_let_788 (not _let_3))) (let ((_let_789 (or _let_788 _let_787 _let_504))) (let ((_let_790 (_let_90))) (let ((_let_791 (ASSUME :args _let_790))) (let ((_let_792 (ASSUME :args (_let_1)))) (let ((_let_793 (or _let_276 _let_505))) (let ((_let_794 (_let_89))) (let ((_let_795 (ASSUME :args _let_794))) (let ((_let_796 (or _let_276 _let_506))) (let ((_let_797 (_let_76))) (let ((_let_798 (ASSUME :args _let_797))) (let ((_let_799 (or _let_360 _let_513))) (let ((_let_800 (_let_112))) (let ((_let_801 (ASSUME :args _let_800))) (let ((_let_802 (or _let_360 _let_516))) (let ((_let_803 (or _let_787 _let_517))) (let ((_let_804 (_let_80))) (let ((_let_805 (ASSUME :args _let_804))) (let ((_let_806 (or _let_360 _let_527))) (let ((_let_807 (or _let_285 _let_528))) (let ((_let_808 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)))))) (let ((_let_809 (EQ_RESOLVE (ASSUME :args (_let_111)) (MACRO_SR_EQ_INTRO :args (_let_111 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_810 (not _let_2))) (let ((_let_811 (or _let_810 _let_529))) (let ((_let_812 (forall ((T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= _let_1 (tptp.c_Power_Opower__class_Opower _let_1 V_n T_a))))))) (let ((_let_813 (EQ_RESOLVE (ASSUME :args (_let_107)) (MACRO_SR_EQ_INTRO :args (_let_107 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_814 (or _let_360 _let_530))) (let ((_let_815 (_let_100))) (let ((_let_816 (ASSUME :args _let_815))) (let ((_let_817 (or _let_360 _let_532))) (let ((_let_818 (or _let_360 _let_534))) (let ((_let_819 (or _let_360 _let_535))) (let ((_let_820 (or _let_360 _let_536))) (let ((_let_821 (= _let_68 _let_127))) (let ((_let_822 (or _let_307 _let_821 _let_537))) (let ((_let_823 (= _let_31 tptp.v_d))) (let ((_let_824 (not _let_821))) (let ((_let_825 (or _let_824 _let_823))) (let ((_let_826 (forall ((V_n $$unsorted)) (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Oreal V_n tptp.tc_nat))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n))))) (let ((_let_827 (EQ_RESOLVE (ASSUME :args (_let_79)) (MACRO_SR_EQ_INTRO :args (_let_79 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_828 (not _let_823))) (let ((_let_829 (ASSUME :args (_let_82)))) (let ((_let_830 (ASSUME :args (_let_45)))) (let ((_let_831 (ASSUME :args (_let_32)))) (let ((_let_832 (not _let_32))) (let ((_let_833 (not _let_82))) (let ((_let_834 (REFL :args (tptp.tc_nat)))) (let ((_let_835 (SYMM _let_829))) (let ((_let_836 (ASSUME :args (_let_823)))) (let ((_let_837 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_825)) :args ((or _let_823 _let_824 (not _let_825)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_830 _let_829 _let_836 _let_831) :args (_let_82 _let_45 _let_32 _let_823)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_831)) (CONG _let_829 (TRANS (SYMM _let_836) _let_829) _let_834 :args _let_616) (CONG _let_835 _let_835 _let_834 :args _let_616) (FALSE_INTRO _let_830))) :args (_let_45 _let_82 _let_823 _let_32)) :args ((not (and _let_82 _let_45 _let_32 _let_823)) SB_LITERAL))) (CONG (REFL :args (_let_833)) (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) (REFL :args (_let_832)) (REFL :args (_let_828)) :args _let_583)) :args ((or _let_44 _let_833 _let_832 _let_828))) _let_831 _let_830 _let_829 :args (_let_828 false _let_32 true _let_44 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_827 :args (tptp.v_d QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_RealDef_Oreal V_n tptp.tc_nat)))) :args (_let_826))) _let_827 :args (_let_825 false _let_826)) :args (_let_824 true _let_823 false _let_825)))) (let ((_let_838 (or _let_307 _let_821 _let_538))) (let ((_let_839 (or _let_360 _let_540))) (let ((_let_840 (or _let_360 _let_541))) (let ((_let_841 (not _let_223))) (let ((_let_842 (not _let_221))) (let ((_let_843 (not _let_217))) (let ((_let_844 (not _let_541))) (let ((_let_845 (not _let_540))) (let ((_let_846 (not _let_538))) (let ((_let_847 (not _let_537))) (let ((_let_848 (not _let_526))) (let ((_let_849 (not _let_536))) (let ((_let_850 (not _let_231))) (let ((_let_851 (not _let_535))) (let ((_let_852 (not _let_534))) (let ((_let_853 (not _let_523))) (let ((_let_854 (not _let_520))) (let ((_let_855 (not _let_524))) (let ((_let_856 (not _let_532))) (let ((_let_857 (not _let_530))) (let ((_let_858 (not _let_529))) (let ((_let_859 (not _let_528))) (let ((_let_860 (not _let_519))) (let ((_let_861 (not _let_518))) (let ((_let_862 (not _let_527))) (let ((_let_863 (not _let_491))) (let ((_let_864 (not _let_199))) (let ((_let_865 (not _let_511))) (let ((_let_866 (not _let_174))) (let ((_let_867 (not _let_192))) (let ((_let_868 (not _let_510))) (let ((_let_869 (not _let_173))) (let ((_let_870 (not _let_508))) (let ((_let_871 (not _let_171))) (let ((_let_872 (not _let_167))) (let ((_let_873 (not _let_517))) (let ((_let_874 (not _let_516))) (let ((_let_875 (not _let_513))) (let ((_let_876 (not _let_178))) (let ((_let_877 (not _let_159))) (let ((_let_878 (not _let_501))) (let ((_let_879 (not _let_137))) (let ((_let_880 (not _let_502))) (let ((_let_881 (not _let_499))) (let ((_let_882 (not _let_135))) (let ((_let_883 (not _let_134))) (let ((_let_884 (not _let_164))) (let ((_let_885 (not _let_151))) (let ((_let_886 (not _let_124))) (let ((_let_887 (not _let_506))) (let ((_let_888 (not _let_505))) (let ((_let_889 (not _let_504))) (let ((_let_890 (not _let_143))) (let ((_let_891 (REFL :args (_let_869)))) (let ((_let_892 (REFL :args (_let_879)))) (let ((_let_893 (REFL :args (_let_451)))) (let ((_let_894 (= _let_28 _let_498))) (let ((_let_895 (= _let_27 _let_22))) (let ((_let_896 (= _let_27 _let_503))) (let ((_let_897 (ASSUME :args (_let_504)))) (let ((_let_898 (SYMM (SYMM _let_897)))) (let ((_let_899 (SYMM (ASSUME :args (_let_896))))) (let ((_let_900 (SYMM _let_899))) (let ((_let_901 (ASSUME :args (_let_517)))) (let ((_let_902 (SYMM _let_901))) (let ((_let_903 (SYMM _let_902))) (let ((_let_904 (ASSUME :args (_let_529)))) (let ((_let_905 (SYMM (SYMM _let_904)))) (let ((_let_906 (REFL :args (tptp.tc_Complex_Ocomplex)))) (let ((_let_907 (REFL :args (_let_23)))) (let ((_let_908 (ASSUME :args (_let_499)))) (let ((_let_909 (SYMM _let_908))) (let ((_let_910 (APPLY_UF tptp.c_Complex_Ocis))) (let ((_let_911 (CONG _let_656 _let_622 _let_617 :args _let_621))) (let ((_let_912 (CONG _let_632 _let_622 _let_617 :args _let_621))) (let ((_let_913 (SYMM _let_645))) (let ((_let_914 (CONG _let_705 (TRANS _let_704 (TRANS _let_655 _let_913)) _let_617 :args _let_652))) (let ((_let_915 (ASSUME :args (_let_526)))) (let ((_let_916 (SYMM (SYMM _let_915)))) (let ((_let_917 (SYMM _let_707))) (let ((_let_918 (SYMM _let_914))) (let ((_let_919 (SYMM _let_912))) (let ((_let_920 (TRANS _let_919 _let_628 _let_626))) (let ((_let_921 (TRANS _let_645 _let_242 _let_629 _let_912))) (let ((_let_922 (TRANS _let_921 (TRANS _let_919 _let_628 _let_637)))) (let ((_let_923 (CONG _let_653 _let_913 _let_617 :args _let_652))) (let ((_let_924 (CONG _let_653 _let_655 _let_617 :args _let_652))) (let ((_let_925 (TRANS _let_924 _let_923 _let_651 _let_242 _let_629 _let_912))) (let ((_let_926 (TRANS _let_925 _let_920))) (let ((_let_927 (SYMM _let_926))) (let ((_let_928 (CONG _let_626 _let_920 _let_617 :args _let_641))) (let ((_let_929 (SYMM _let_920))) (let ((_let_930 (CONG _let_929 _let_672 _let_617 :args _let_621))) (let ((_let_931 (TRANS _let_930 _let_638 _let_629 _let_912))) (let ((_let_932 (SYMM _let_931))) (let ((_let_933 (ASSUME :args (_let_217)))) (let ((_let_934 (SYMM _let_933))) (let ((_let_935 (ASSUME :args (_let_221)))) (let ((_let_936 (SYMM _let_935))) (let ((_let_937 (SYMM _let_936))) (let ((_let_938 (APPLY_UF tptp.c_RealDef_Oreal))) (let ((_let_939 (ASSUME :args (_let_137)))) (let ((_let_940 (SYMM _let_939))) (let ((_let_941 (SYMM _let_940))) (let ((_let_942 (ASSUME :args (_let_173)))) (let ((_let_943 (SYMM _let_942))) (let ((_let_944 (SYMM _let_943))) (let ((_let_945 (REFL :args (_let_200)))) (let ((_let_946 (ASSUME :args (_let_524)))) (let ((_let_947 (SYMM _let_946))) (let ((_let_948 (REFL :args (_let_127)))) (let ((_let_949 (REFL :args (_let_16)))) (let ((_let_950 (SYMM _let_924))) (let ((_let_951 (TRANS (SYMM _let_923) _let_950))) (let ((_let_952 (CONG _let_913 _let_949 _let_617 :args _let_621))) (let ((_let_953 (TRANS (CONG (TRANS (TRANS _let_729 _let_727 _let_721 (CONG _let_931 _let_672 _let_617 :args _let_621) _let_638 _let_626) _let_716) _let_715 _let_617 :args _let_714) _let_718 _let_713 (CONG _let_920 _let_622 _let_617 :args _let_621)))) (let ((_let_954 (CONG (TRANS _let_953 _let_920) _let_653 _let_617 :args _let_621))) (let ((_let_955 (CONG (TRANS _let_925 (SYMM _let_953)) _let_653 _let_617 :args _let_621))) (let ((_let_956 (CONG (TRANS (TRANS (SYMM _let_954) (SYMM _let_955)) (TRANS _let_955 _let_954 _let_734 _let_242 _let_629 _let_912) (SYMM _let_921)) _let_949 _let_617 :args _let_621))) (let ((_let_957 (ASSUME :args (_let_536)))) (let ((_let_958 (SYMM _let_957))) (let ((_let_959 (CONG _let_929 _let_948 _let_617 :args _let_621))) (let ((_let_960 (TRANS _let_959 (CONG (TRANS (TRANS _let_919 _let_628 _let_626 (SYMM _let_958) _let_952 (SYMM _let_956)) (TRANS _let_956 (SYMM _let_952)) (TRANS _let_952 (CONG (TRANS _let_921 (SYMM _let_925) (SYMM _let_951)) _let_949 _let_617 :args _let_621) (CONG _let_951 _let_949 _let_617 :args _let_621))) _let_948 _let_617 :args _let_621) _let_947 (CONG _let_945 (TRANS (SYMM _let_944) (CONG (SYMM _let_941) _let_834 :args _let_938)) _let_617 :args _let_621) _let_937 (CONG _let_642 _let_926 _let_617 :args _let_621) _let_934 (CONG (TRANS _let_929 _let_932) _let_642 _let_617 :args _let_621) (CONG (TRANS _let_931 (TRANS _let_671 _let_928 (CONG _let_927 _let_927 _let_617 :args _let_641))) _let_642 _let_617 :args _let_621) _let_665 _let_663 (CONG _let_926 (TRANS (TRANS (CONG (TRANS _let_649 (CONG _let_913 _let_642 _let_617 :args _let_643) (CONG _let_922 _let_642 _let_617 :args _let_643)) _let_642 _let_617 :args _let_641) _let_640 _let_638 _let_629 _let_912) _let_920) _let_617 :args _let_621) _let_919 _let_628 _let_626 _let_695 _let_918 _let_917))) (let ((_let_961 (TRANS (CONG _let_925 _let_948 _let_617 :args _let_621) (SYMM _let_959)))) (let ((_let_962 (ASSUME :args (_let_501)))) (let ((_let_963 (SYMM (SYMM _let_962)))) (let ((_let_964 (ASSUME :args (_let_510)))) (let ((_let_965 (SYMM (SYMM _let_964)))) (let ((_let_966 (TRANS (SYMM _let_965) (CONG (SYMM _let_963) _let_834 :args _let_938)))) (let ((_let_967 (ASSUME :args (_let_518)))) (let ((_let_968 (SYMM _let_967))) (let ((_let_969 (ASSUME :args (_let_511)))) (let ((_let_970 (SYMM _let_969))) (let ((_let_971 (ASSUME :args (_let_164)))) (let ((_let_972 (SYMM _let_971))) (let ((_let_973 (CONG _let_972 _let_618 _let_617 :args _let_621))) (let ((_let_974 (ASSUME :args (_let_528)))) (let ((_let_975 (SYMM _let_974))) (let ((_let_976 (ASSUME :args (_let_505)))) (let ((_let_977 (SYMM _let_976))) (let ((_let_978 (ASSUME :args (_let_192)))) (let ((_let_979 (SYMM _let_978))) (let ((_let_980 (REFL :args (tptp.c_Transcendental_Opi)))) (let ((_let_981 (TRANS (CONG _let_623 _let_980 _let_617 :args _let_652) _let_979))) (let ((_let_982 (REFL :args (_let_139)))) (let ((_let_983 (SYMM _let_981))) (let ((_let_984 (TRANS (CONG _let_983 _let_982 _let_617 :args _let_621) (CONG _let_981 _let_977 _let_617 :args _let_621) _let_975))) (let ((_let_985 (ASSUME :args (_let_174)))) (let ((_let_986 (SYMM _let_985))) (let ((_let_987 (CONG _let_972 _let_672 _let_617 :args _let_652))) (let ((_let_988 (ASSUME :args (_let_143)))) (let ((_let_989 (SYMM _let_988))) (let ((_let_990 (ASSUME :args (_let_151)))) (let ((_let_991 (SYMM _let_990))) (let ((_let_992 (CONG _let_990 _let_982 _let_617 :args _let_621))) (let ((_let_993 (TRANS _let_992 (CONG (TRANS _let_991 _let_702) _let_982 _let_617 :args _let_621) _let_989))) (let ((_let_994 (ASSUME :args (_let_167)))) (let ((_let_995 (SYMM (SYMM _let_994)))) (let ((_let_996 (ASSUME :args (_let_199)))) (let ((_let_997 (SYMM _let_996))) (let ((_let_998 (SYMM _let_993))) (let ((_let_999 (TRANS (TRANS (CONG _let_705 _let_998 _let_617 :args _let_652) _let_997 _let_995 (CONG _let_672 (TRANS (CONG _let_971 _let_993 _let_617 :args _let_652) _let_987) _let_617 :args _let_621) _let_986 _let_972) _let_971))) (let ((_let_1000 (CONG _let_999 _let_984 _let_617 :args _let_621))) (let ((_let_1001 (SYMM _let_984))) (let ((_let_1002 (ASSUME :args (_let_491)))) (let ((_let_1003 (SYMM _let_1002))) (let ((_let_1004 (CONG _let_920 _let_920 _let_617 :args _let_641))) (let ((_let_1005 (TRANS _let_1004 (SYMM _let_928) _let_670))) (let ((_let_1006 (CONG (TRANS _let_1005 _let_920) _let_672 _let_617 :args _let_652))) (let ((_let_1007 (CONG (TRANS _let_931 (SYMM _let_1005)) _let_672 _let_617 :args _let_652))) (let ((_let_1008 (SYMM _let_999))) (let ((_let_1009 (CONG _let_1008 (TRANS _let_932 (TRANS _let_930 _let_638 _let_626 _let_743 _let_1007 _let_1006 _let_1003) _let_1001) _let_617 :args _let_621))) (let ((_let_1010 (ASSUME :args (_let_508)))) (let ((_let_1011 (SYMM _let_1010))) (let ((_let_1012 (SYMM _let_1011))) (let ((_let_1013 (TRANS _let_242 _let_698 (SYMM _let_703)))) (let ((_let_1014 (TRANS (CONG _let_702 _let_931 _let_617 :args _let_621) _let_699 _let_626))) (let ((_let_1015 (REFL :args (_let_65)))) (let ((_let_1016 (CONG _let_1015 (TRANS _let_1014 _let_1013) _let_617 :args _let_621))) (let ((_let_1017 (CONG _let_1015 (TRANS _let_981 (TRANS _let_1002 (SYMM _let_1006) (SYMM _let_1007) _let_742) (SYMM _let_1014)) _let_617 :args _let_621))) (let ((_let_1018 (CONG _let_1015 _let_983 _let_617 :args _let_621))) (let ((_let_1019 (ASSUME :args (_let_223)))) (let ((_let_1020 (SYMM _let_1019))) (let ((_let_1021 (SYMM _let_1020))) (let ((_let_1022 (ASSUME :args (_let_231)))) (let ((_let_1023 (SYMM _let_1022))) (let ((_let_1024 (ASSUME :args (_let_171)))) (let ((_let_1025 (SYMM (SYMM _let_1024)))) (let ((_let_1026 (CONG _let_618 _let_971 _let_617 :args _let_621))) (let ((_let_1027 (TRANS _let_623 _let_1026 _let_1025))) (let ((_let_1028 (CONG _let_1027 _let_993 _let_617 :args _let_652))) (let ((_let_1029 (CONG _let_653 _let_998 _let_617 :args _let_652))) (let ((_let_1030 (SYMM _let_1029))) (let ((_let_1031 (TRANS _let_1022 (SYMM _let_1028) _let_1030))) (let ((_let_1032 (CONG _let_922 _let_653 _let_617 :args _let_643))) (let ((_let_1033 (ASSUME :args (_let_527)))) (let ((_let_1034 (SYMM (SYMM _let_1033)))) (let ((_let_1035 (ASSUME :args (_let_124)))) (let ((_let_1036 (SYMM _let_1035))) (let ((_let_1037 (TRANS _let_1036 _let_971))) (let ((_let_1038 (ASSUME :args (_let_513)))) (let ((_let_1039 (TRANS (SYMM _let_1038) (CONG _let_618 _let_1037 _let_617 :args _let_621) (SYMM _let_1026) _let_624))) (let ((_let_1040 (ASSUME :args (_let_519)))) (let ((_let_1041 (SYMM (SYMM _let_1040)))) (let ((_let_1042 (SYMM _let_1018))) (let ((_let_1043 (SYMM _let_1000))) (let ((_let_1044 (SYMM _let_973))) (let ((_let_1045 (CONG _let_966 _let_653 _let_617 :args _let_621))) (let ((_let_1046 (ASSUME :args (_let_520)))) (let ((_let_1047 (SYMM _let_1046))) (let ((_let_1048 (ASSUME :args (_let_135)))) (let ((_let_1049 (SYMM (SYMM _let_1048)))) (let ((_let_1050 (ASSUME :args (_let_134)))) (let ((_let_1051 (SYMM _let_1050))) (let ((_let_1052 (ASSUME :args (_let_159)))) (let ((_let_1053 (REFL :args (_let_157)))) (let ((_let_1054 (CONG _let_1053 _let_972 _let_617 :args _let_621))) (let ((_let_1055 (TRANS _let_1054 (SYMM _let_1052)))) (let ((_let_1056 (REFL :args (_let_130)))) (let ((_let_1057 (CONG _let_1056 _let_1055 _let_617 :args _let_621))) (let ((_let_1058 (ASSUME :args (_let_506)))) (let ((_let_1059 (SYMM _let_1058))) (let ((_let_1060 (CONG _let_972 _let_972 _let_617 :args _let_643))) (let ((_let_1061 (CONG _let_1037 _let_971 _let_617 :args _let_643))) (let ((_let_1062 (ASSUME :args (_let_516)))) (let ((_let_1063 (ASSUME :args (_let_178)))) (let ((_let_1064 (SYMM _let_1063))) (let ((_let_1065 (REFL :args (_let_514)))) (let ((_let_1066 (ASSUME :args (_let_530)))) (let ((_let_1067 (REFL :args (_let_73)))) (let ((_let_1068 (TRANS (CONG (TRANS _let_635 _let_725) _let_1067 _let_617 :args _let_714) (CONG _let_726 _let_1067 _let_617 :args _let_714) _let_717))) (let ((_let_1069 (CONG (TRANS _let_703 _let_699 _let_629 _let_636) _let_672 _let_617 :args _let_621))) (let ((_let_1070 (ASSUME :args (_let_532)))) (let ((_let_1071 (SYMM _let_1069))) (let ((_let_1072 (TRANS _let_674 _let_1071))) (let ((_let_1073 (ASSUME :args (_let_502)))) (let ((_let_1074 (CONG _let_645 _let_949 _let_617 :args _let_621))) (let ((_let_1075 (SYMM _let_646))) (let ((_let_1076 (TRANS _let_638 _let_629 _let_636))) (let ((_let_1077 (TRANS _let_1076 _let_1075))) (let ((_let_1078 (CONG _let_1077 _let_949 _let_617 :args _let_621))) (let ((_let_1079 (SYMM _let_674))) (let ((_let_1080 (TRANS _let_634 _let_630 _let_637 _let_1079))) (let ((_let_1081 (CONG _let_242 _let_673 _let_617 :args _let_641))) (let ((_let_1082 (TRANS _let_745 _let_1081 _let_670))) (let ((_let_1083 (CONG (TRANS _let_1082 _let_1080) _let_672 _let_617 :args _let_652))) (let ((_let_1084 (SYMM _let_1082))) (let ((_let_1085 (TRANS (CONG _let_705 (TRANS (CONG (TRANS (TRANS (CONG (TRANS _let_626 _let_673 _let_1084) _let_672 _let_617 :args _let_652) _let_1083 _let_744 _let_242 _let_629 _let_636) _let_1075) _let_949 _let_617 :args _let_621) (SYMM _let_1078)) _let_617 :args _let_643) (CONG _let_1073 (TRANS (TRANS _let_1078 _let_1074 _let_958 _let_242 _let_637 _let_1071) (SYMM _let_1072)) _let_617 :args _let_643) (CONG (TRANS (SYMM _let_1073) (TRANS _let_1058 (SYMM _let_1060) (SYMM _let_1061) _let_1062)) _let_1072 _let_617 :args _let_643) (SYMM (SYMM _let_1070)) (CONG (TRANS (CONG _let_1065 (TRANS (TRANS _let_1069 _let_638 _let_626) (SYMM _let_1068)) _let_617 :args _let_643) (CONG _let_1065 _let_1068 _let_617 :args _let_643)) _let_1015 _let_617 :args _let_643) (SYMM (SYMM _let_1066)) (CONG _let_1065 _let_1064 _let_617 :args _let_643) (SYMM _let_1062) _let_1061 _let_1060 _let_1059))) (let ((_let_1086 (ASSUME :args (_let_537)))) (let ((_let_1087 (TRANS (CONG _let_941 _let_834 :args _let_938) _let_944))) (let ((_let_1088 (SYMM _let_1077))) (let ((_let_1089 (CONG _let_1088 _let_642 _let_617 :args _let_643))) (let ((_let_1090 (TRANS _let_649 _let_647 _let_1089))) (let ((_let_1091 (ASSUME :args (_let_445)))) (let ((_let_1092 (SYMM _let_1091))) (let ((_let_1093 (CONG _let_660 (TRANS (TRANS (CONG _let_1090 _let_642 _let_617 :args _let_641) _let_640 _let_638 _let_629 _let_636) _let_635) _let_617 :args _let_621))) (let ((_let_1094 (SYMM _let_1080))) (let ((_let_1095 (CONG (TRANS _let_1094 (TRANS _let_669 (SYMM _let_1081) _let_667)) _let_642 _let_617 :args _let_621))) (let ((_let_1096 (CONG (TRANS _let_242 _let_637 _let_1079) _let_642 _let_617 :args _let_621))) (let ((_let_1097 (CONG _let_642 _let_660 _let_617 :args _let_621))) (let ((_let_1098 (CONG _let_945 (SYMM _let_1087) _let_617 :args _let_621))) (let ((_let_1099 (SYMM _let_658))) (let ((_let_1100 (SYMM _let_654))) (let ((_let_1101 (TRANS _let_1100 _let_1099))) (let ((_let_1102 (SYMM _let_1074))) (let ((_let_1103 (TRANS (CONG (TRANS (TRANS (SYMM (CONG _let_726 _let_728 _let_617 :args _let_621)) (SYMM (CONG _let_725 (TRANS (CONG _let_702 _let_672 _let_617 :args _let_621) _let_723) _let_617 :args _let_621)) _let_719 (SYMM (CONG _let_1080 _let_672 _let_617 :args _let_621)) _let_638 _let_626) _let_716) _let_715 _let_617 :args _let_714) _let_718 _let_713 _let_711))) (let ((_let_1104 (CONG (TRANS _let_1103 _let_635) _let_653 _let_617 :args _let_621))) (let ((_let_1105 (CONG (TRANS _let_659 (SYMM _let_1103)) _let_653 _let_617 :args _let_621))) (let ((_let_1106 (CONG (TRANS (TRANS (SYMM _let_1104) (SYMM _let_1105)) (TRANS _let_1105 _let_1104 _let_734 _let_242 _let_629 _let_636) _let_1075) _let_949 _let_617 :args _let_621))) (let ((_let_1107 (CONG (TRANS (TRANS _let_634 _let_630 _let_626 _let_957 _let_1102 (SYMM _let_1106)) (TRANS _let_1106 _let_1074) (TRANS _let_1102 (CONG (TRANS _let_646 (SYMM _let_659) (SYMM _let_1101)) _let_949 _let_617 :args _let_621) (CONG _let_1101 _let_949 _let_617 :args _let_621))) _let_948 _let_617 :args _let_621))) (let ((_let_1108 (CONG (TRANS _let_673 _let_1084) _let_672 _let_617 :args _let_652))) (let ((_let_1109 (SYMM _let_1003))) (let ((_let_1110 (SYMM _let_624))) (let ((_let_1111 (TRANS (CONG _let_1110 _let_980 _let_617 :args _let_652) _let_979))) (let ((_let_1112 (SYMM _let_1111))) (let ((_let_1113 (ASSUME :args (_let_538)))) (let ((_let_1114 (CONG _let_705 (TRANS (SYMM _let_697) _let_706) _let_617 :args _let_652))) (let ((_let_1115 (TRANS _let_1109 _let_1108 _let_1083 _let_744 _let_242 _let_637 _let_1079))) (let ((_let_1116 (SYMM _let_1115))) (let ((_let_1117 (TRANS _let_1096 _let_1095 _let_665 _let_663 _let_1093))) (let ((_let_1118 (CONG _let_1099 _let_1087 _let_617 :args _let_621))) (let ((_let_1119 (TRANS _let_1118 _let_1098 _let_937 _let_1097 _let_934))) (let ((_let_1120 (SYMM _let_1098))) (let ((_let_1121 (TRANS _let_1120 (SYMM _let_1118)))) (let ((_let_1122 (CONG (TRANS _let_1121 _let_1119 _let_1117) _let_948 _let_617 :args _let_621))) (let ((_let_1123 (TRANS _let_629 _let_636))) (let ((_let_1124 (ASSUME :args (_let_535)))) (let ((_let_1125 (REFL :args (_let_509)))) (let ((_let_1126 (CONG _let_673 _let_948 _let_617 :args _let_621))) (let ((_let_1127 (SYMM _let_1126))) (let ((_let_1128 (TRANS (CONG _let_659 _let_948 _let_617 :args _let_621) _let_1127))) (let ((_let_1129 (ASSUME :args (_let_541)))) (let ((_let_1130 (ASSUME :args (_let_534)))) (let ((_let_1131 (ASSUME :args (_let_523)))) (let ((_let_1132 (ASSUME :args (_let_540)))) (let ((_let_1133 (CONG _let_657 _let_622 _let_617 :args _let_621))) (let ((_let_1134 (TRANS (CONG _let_1112 _let_982 _let_617 :args _let_621) (CONG _let_1111 _let_977 _let_617 :args _let_621) _let_975))) (let ((_let_1135 (CONG _let_999 _let_1134 _let_617 :args _let_621))) (let ((_let_1136 (CONG _let_1008 (TRANS _let_1080 _let_1116 (SYMM _let_1134)) _let_617 :args _let_621))) (let ((_let_1137 (TRANS (CONG _let_702 _let_1094 _let_617 :args _let_621) _let_699 _let_626))) (let ((_let_1138 (CONG _let_1015 (TRANS _let_1137 _let_1013) _let_617 :args _let_621))) (let ((_let_1139 (CONG _let_1015 (TRANS _let_1111 (TRANS _let_1109 _let_1108 _let_1083 _let_744) (SYMM _let_1137)) _let_617 :args _let_621))) (let ((_let_1140 (CONG _let_1015 _let_1112 _let_617 :args _let_621))) (let ((_let_1141 (CONG (TRANS _let_1110 _let_1026 _let_1025) _let_993 _let_617 :args _let_652))) (let ((_let_1142 (CONG _let_644 _let_653 _let_617 :args _let_643))) (let ((_let_1143 (TRANS _let_1004 (CONG _let_242 _let_929 _let_617 :args _let_641) _let_670))) (let ((_let_1144 (CONG (TRANS _let_1143 _let_920) _let_672 _let_617 :args _let_652))) (let ((_let_1145 (TRANS (TRANS _let_930 _let_638 _let_626) _let_929))) (let ((_let_1146 (CONG (TRANS _let_1145 (SYMM _let_1143)) _let_672 _let_617 :args _let_652))) (let ((_let_1147 (CONG _let_1008 (TRANS (SYMM _let_1145) (TRANS _let_930 _let_638 _let_626 _let_743 _let_1146 _let_1144 _let_1003) _let_1001) _let_617 :args _let_621))) (let ((_let_1148 (TRANS (CONG _let_702 _let_1145 _let_617 :args _let_621) _let_699 _let_626))) (let ((_let_1149 (CONG _let_1015 (TRANS _let_1148 _let_1013) _let_617 :args _let_621))) (let ((_let_1150 (CONG _let_1015 (TRANS _let_981 (TRANS _let_1002 (SYMM _let_1144) (SYMM _let_1146) _let_742) (SYMM _let_1148)) _let_617 :args _let_621))) (let ((_let_1151 (and _let_118 _let_119 _let_138 _let_120 _let_122 _let_475 _let_144 _let_146 _let_147 _let_149 _let_150 _let_129 _let_153 _let_156 _let_162 _let_474 _let_168 _let_473 _let_472 _let_470 _let_224 _let_212 _let_226 _let_227 _let_467 _let_228 _let_466 _let_468))) (let ((_let_1152 (ASSUME :args (_let_468)))) (let ((_let_1153 (SYMM _let_780))) (let ((_let_1154 (TRANS _let_645 _let_242 _let_627 _let_636))) (let ((_let_1155 (CONG (TRANS _let_649 _let_647 (CONG (TRANS _let_1154 (TRANS _let_634 _let_628 _let_780)) _let_642 _let_617 :args _let_643)) _let_642 _let_617 :args _let_641))) (let ((_let_1156 (TRANS (TRANS _let_924 _let_654 _let_651 _let_242 _let_627 _let_636) _let_778))) (let ((_let_1157 (SYMM _let_1156))) (let ((_let_1158 (CONG _let_1157 _let_1157 _let_617 :args _let_641))) (let ((_let_1159 (CONG _let_782 _let_672 _let_617 :args _let_621))) (let ((_let_1160 (TRANS _let_1159 _let_1153 _let_627 _let_636))) (let ((_let_1161 (TRANS _let_782 (SYMM _let_1160)))) (let ((_let_1162 (CONG _let_1161 _let_642 _let_617 :args _let_621))) (let ((_let_1163 (TRANS _let_688 (CONG (SYMM _let_1161) _let_686 _let_617 :args _let_621) _let_685 _let_680 (CONG _let_653 _let_1162 _let_617 :args _let_621) (CONG _let_623 (TRANS (SYMM _let_1162) (TRANS _let_1162 (CONG (TRANS _let_1160 (TRANS _let_671 (CONG _let_626 _let_778 _let_617 :args _let_641) _let_1158)) _let_642 _let_617 :args _let_621) _let_665 _let_663 (CONG _let_1156 (TRANS (TRANS _let_1155 _let_640 _let_1153 _let_627 _let_636) _let_778) _let_617 :args _let_621) _let_634 _let_628 _let_626)) _let_617 :args _let_621) _let_625 _let_620))) (let ((_let_1164 (TRANS _let_703 _let_699 _let_626 _let_243))) (let ((_let_1165 (TRANS (CONG _let_705 (SYMM _let_1164) _let_617 :args _let_652) (CONG _let_705 (TRANS _let_1164 (TRANS _let_655 _let_644)) _let_617 :args _let_652) _let_694 _let_242 _let_627 _let_636))) (let ((_let_1166 (TRANS (CONG (TRANS _let_1154 (SYMM _let_1165)) _let_692 _let_617 :args _let_621) (CONG (TRANS _let_1165 _let_778) _let_692 _let_617 :args _let_621) _let_691 _let_687))) (let ((_let_1167 (CONG _let_778 _let_622 _let_617 :args _let_621))) (let ((_let_1168 (TRANS (CONG (TRANS (TRANS _let_729 _let_727 _let_721 (CONG _let_1160 _let_672 _let_617 :args _let_621) _let_1153 _let_626) _let_716) _let_715 _let_617 :args _let_714) _let_718 _let_713 _let_1167))) (let ((_let_1169 (CONG (TRANS _let_1168 _let_778) _let_653 _let_617 :args _let_621))) (let ((_let_1170 (CONG (TRANS _let_1154 (SYMM _let_1168)) _let_653 _let_617 :args _let_621))) (let ((_let_1171 (not _let_461))) (let ((_let_1172 (_let_98))) (let ((_let_1173 (ASSUME :args _let_1172))) (let ((_let_1174 ((tptp.c_RealDef_Oreal V_n tptp.tc_nat)))) (let ((_let_1175 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1173 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1174)) :args _let_1172)) _let_1173 :args (_let_1171 false _let_98)))) (let ((_let_1176 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_462)) :args ((or _let_306 _let_454 _let_461 _let_458 _let_460 (not _let_462)))) _let_313 _let_747 _let_1175 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1151)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_648 _let_619 _let_650 _let_733 _let_661 _let_687 _let_690 _let_693 _let_631 _let_623 _let_242 _let_1152 _let_719 _let_243 _let_712 _let_669 _let_679 _let_698 _let_664 _let_722 _let_700 _let_627 _let_637 _let_644 _let_681 _let_639 _let_716 _let_725) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_782 (TRANS _let_634 _let_628 _let_626 _let_735 (SYMM _let_1169) (SYMM _let_1170)) (TRANS _let_1170 _let_1169) (SYMM _let_1163) (SYMM _let_1166)) _let_618 _let_617 :args _let_616) (CONG (TRANS _let_1166 _let_1163) _let_618 _let_617 :args _let_616) (TRUE_INTRO _let_1152))) :args (_let_224 _let_466 _let_228 _let_467 _let_226 _let_470 _let_472 _let_474 _let_138 _let_162 _let_118 _let_468 _let_168 _let_119 _let_146 _let_120 _let_473 _let_475 _let_227 _let_144 _let_147 _let_122 _let_149 _let_153 _let_129 _let_212 _let_150 _let_156))) :args (_let_118 _let_119 _let_138 _let_120 _let_122 _let_475 _let_144 _let_146 _let_147 _let_149 _let_150 _let_129 _let_153 _let_156 _let_162 _let_474 _let_168 _let_473 _let_472 _let_470 _let_224 _let_212 _let_226 _let_227 _let_467 _let_228 _let_466 _let_468))) :args (true _let_1151)) :args ((or _let_582 _let_581 _let_580 _let_579 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_427 _let_570 _let_569 _let_459 _let_568 _let_567 _let_566 _let_565 _let_564 _let_584 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557))) _let_242 _let_243 _let_275 _let_248 _let_252 _let_545 _let_284 _let_290 _let_294 _let_298 _let_303 _let_261 _let_319 _let_327 _let_334 _let_547 _let_352 _let_549 _let_554 _let_556 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_897 (MODUS_PONENS (AND_INTRO _let_1040 _let_1019 _let_1033 _let_985 _let_1035 _let_969 _let_976 _let_1024 _let_988 _let_1002 _let_698 _let_990 _let_971 _let_623 _let_669 _let_627 _let_994 _let_631 _let_1022 _let_637 _let_242 _let_700 _let_1038 _let_243 _let_908 _let_644 _let_901 _let_1010 _let_996 _let_741 _let_978 _let_967 _let_974) (SCOPE (TRANS (CONG (TRANS _let_623 _let_969 _let_1044 _let_1043 (SYMM _let_1147) _let_1011 (SYMM _let_1149) (SYMM _let_1150) _let_1042 _let_1020 _let_1041 (CONG (TRANS _let_1039 (TRANS _let_1034 _let_1142 _let_1032)) (TRANS _let_1031 (TRANS _let_1029 _let_1028 _let_1023 _let_1021 _let_1018 _let_1150 _let_1149 _let_1012 _let_1147 _let_1000 _let_973 _let_970 _let_624)) _let_617 :args _let_641) _let_968 _let_638 _let_629 _let_912 _let_911) :args _let_910) _let_909 _let_902) :args (_let_519 _let_223 _let_527 _let_174 _let_124 _let_511 _let_505 _let_171 _let_143 _let_491 _let_475 _let_151 _let_164 _let_162 _let_120 _let_122 _let_167 _let_138 _let_231 _let_149 _let_118 _let_147 _let_513 _let_119 _let_499 _let_153 _let_517 _let_508 _let_199 _let_155 _let_192 _let_518 _let_528))) (MODUS_PONENS (AND_INTRO _let_915 _let_1132 _let_1113 _let_942 _let_1066 _let_1033 _let_741 _let_964 _let_1019 _let_1063 _let_1073 _let_1050 _let_661 _let_939 _let_990 _let_722 _let_725 _let_1002 _let_716 _let_904 _let_243 _let_1040 _let_700 _let_908 _let_1070 _let_712 _let_974 _let_631 _let_957 _let_933 _let_1052 _let_978 _let_967 _let_1038 _let_1129 _let_669 _let_962 _let_1024 _let_644 _let_637 _let_627 _let_994 _let_971 _let_698 _let_693 _let_1086 _let_988 _let_1091 _let_733 _let_1062 _let_1058 _let_901 _let_648 _let_719 _let_1010 _let_985 _let_1035 _let_996 _let_639 _let_969 _let_664 _let_650 _let_935 _let_946 _let_623 _let_242 _let_1131 _let_1130 _let_1124 _let_976 _let_1022) (SCOPE (TRANS (CONG (TRANS _let_1110 _let_969 _let_1044 (SYMM _let_1135) (SYMM _let_1136) _let_1011 (SYMM _let_1138) (SYMM _let_1139) (SYMM _let_1140) _let_1020 _let_1041 (CONG (TRANS _let_1039 (TRANS _let_1034 _let_1142 (CONG _let_1088 _let_653 _let_617 :args _let_643))) (TRANS (TRANS _let_1022 (SYMM _let_1141) _let_1030) (TRANS _let_1029 _let_1141 _let_1023 _let_1021 _let_1140 _let_1139 _let_1138 _let_1012 _let_1136 _let_1135 _let_973 _let_970 _let_624)) _let_617 :args _let_641) _let_968 _let_638 _let_629 _let_636 (SYMM _let_1133)) :args _let_910) _let_909 _let_902 _let_905 (CONG (TRANS _let_903 (SYMM _let_909) (CONG (TRANS _let_1133 _let_634 _let_630 _let_626 _let_695 _let_1114 _let_917) :args _let_910)) _let_907 _let_906 :args _let_714) _let_916 (CONG (TRANS (CONG (TRANS (CONG _let_963 _let_834 :args _let_938) _let_965) (TRANS (TRANS _let_707 (SYMM _let_1114) _let_694 _let_242 _let_629 _let_636 (SYMM _let_1093) _let_662 _let_664 (SYMM _let_1095) (SYMM _let_1096) _let_933 (SYMM _let_1097) _let_936 _let_1120 _let_946 (SYMM _let_1107) _let_1127) (SYMM _let_1128)) _let_617 :args _let_621) (SYMM (SYMM _let_1132)) (CONG _let_945 (TRANS (SYMM _let_1131) (SYMM (SYMM _let_1130))) _let_617 :args _let_621) (SYMM _let_1129) (CONG _let_1128 _let_1125 _let_617 :args _let_621) (CONG (TRANS (TRANS _let_1126 _let_1107 _let_947 _let_1098 _let_937 _let_1097 _let_934 _let_1096 _let_1095 _let_665 _let_663 _let_1093) (SYMM _let_1117) (SYMM _let_1119) (SYMM _let_1121)) _let_1125 _let_617 :args _let_621) (CONG (TRANS _let_1121 _let_1119 _let_1117 (SYMM _let_1123)) _let_1125 _let_617 :args _let_621) (SYMM (SYMM _let_1124)) (CONG _let_1056 (TRANS (CONG _let_1123 _let_948 _let_617 :args _let_621) (SYMM _let_1122)) _let_617 :args _let_621) (CONG _let_1056 (TRANS (TRANS _let_1122 _let_1107 _let_947 _let_1098 _let_937 _let_1097 _let_934 _let_1096 _let_1095 _let_665 _let_663 _let_1093 _let_634 _let_630 _let_637 _let_1079) _let_1116) _let_617 :args _let_621) (CONG _let_1056 (TRANS _let_1115 (TRANS _let_674 _let_638 _let_626 _let_695 _let_1114 (CONG (SYMM _let_1085) (TRANS _let_704 (TRANS _let_657 _let_743 (SYMM _let_1083) (SYMM _let_1108) _let_1003 (SYMM (SYMM _let_1113)) (CONG (TRANS (TRANS (CONG _let_1112 _let_948 _let_617 :args _let_621) (CONG (TRANS _let_1111 (TRANS _let_1109 _let_1108 _let_1083 _let_744 _let_242 _let_629 _let_636)) _let_948 _let_617 :args _let_621) _let_1107 _let_947 _let_1098 _let_937 _let_1097 _let_934 _let_1096 _let_1095 _let_665 _let_663 _let_1093) (SYMM _let_1076)) _let_948 _let_617 :args _let_652) (CONG (TRANS _let_1076 (TRANS _let_634 _let_630 _let_626 (SYMM _let_1092) _let_649 _let_647 _let_1089) (SYMM _let_1090)) _let_948 _let_617 :args _let_652) (CONG _let_1087 _let_948 _let_617 :args _let_652) (SYMM _let_1086))) _let_617 :args _let_652) (CONG (TRANS _let_1085 _let_1058) _let_949 _let_617 :args _let_652) (CONG _let_1059 _let_949 _let_617 :args _let_652)) (SYMM _let_1055)) _let_617 :args _let_621) _let_1057) :args _let_910) _let_1051) :args (_let_526 _let_540 _let_538 _let_173 _let_530 _let_527 _let_155 _let_510 _let_223 _let_178 _let_502 _let_134 _let_226 _let_137 _let_151 _let_144 _let_156 _let_491 _let_150 _let_529 _let_119 _let_519 _let_147 _let_499 _let_532 _let_146 _let_528 _let_138 _let_536 _let_217 _let_159 _let_192 _let_518 _let_513 _let_541 _let_120 _let_501 _let_171 _let_153 _let_149 _let_122 _let_167 _let_164 _let_475 _let_474 _let_537 _let_143 _let_445 _let_467 _let_516 _let_506 _let_517 _let_224 _let_168 _let_508 _let_174 _let_124 _let_199 _let_212 _let_511 _let_227 _let_228 _let_221 _let_524 _let_162 _let_118 _let_523 _let_534 _let_535 _let_505 _let_231))) _let_901 (MODUS_PONENS (AND_INTRO _let_1040 _let_1019 _let_1022 _let_946 _let_915 _let_648 _let_935 _let_650 _let_664 _let_661 _let_639 _let_1046 _let_996 _let_969 _let_1033 _let_985 _let_741 _let_967 _let_978 _let_976 _let_962 _let_1024 _let_942 _let_733 _let_988 _let_716 _let_1002 _let_725 _let_669 _let_627 _let_994 _let_964 _let_933 _let_957 _let_631 _let_974 _let_712 _let_637 _let_242 _let_700 _let_1038 _let_243 _let_908 _let_719 _let_1035 _let_722 _let_990 _let_971 _let_939 _let_623 _let_644 _let_1048 _let_901 _let_698 _let_693 _let_904 _let_1010) (SCOPE (TRANS _let_1049 (CONG (TRANS (SYMM _let_1045) _let_1047) :args _let_910) (CONG (TRANS (SYMM _let_1047) _let_1045 (CONG (SYMM _let_966) (TRANS (TRANS _let_623 _let_969 _let_1044 _let_1043 (SYMM _let_1009) _let_1011 (SYMM _let_1016) (SYMM _let_1017) _let_1042 _let_1020 _let_1041 (CONG (TRANS _let_1039 (TRANS _let_1034 (CONG _let_913 _let_653 _let_617 :args _let_643) _let_1032)) (TRANS _let_1031 (TRANS _let_1029 _let_1028 _let_1023 _let_1021 _let_1018 _let_1017 _let_1016 _let_1012 _let_1009 _let_1000 _let_973 _let_970 _let_624)) _let_617 :args _let_641) _let_968 _let_638 _let_626 _let_695 _let_918 _let_917) (SYMM _let_960) (SYMM _let_961)) _let_617 :args _let_621) (CONG _let_966 (TRANS _let_961 _let_960) _let_617 :args _let_621)) :args _let_910) (SYMM _let_916) (CONG (TRANS (CONG (TRANS _let_707 _let_914 _let_696 _let_242 _let_629 _let_912 _let_911) :args _let_910) _let_909 _let_902) _let_907 _let_906 :args _let_714) (SYMM _let_905) _let_903) :args (_let_519 _let_223 _let_231 _let_524 _let_526 _let_224 _let_221 _let_228 _let_227 _let_226 _let_212 _let_520 _let_199 _let_511 _let_527 _let_174 _let_155 _let_518 _let_192 _let_505 _let_501 _let_171 _let_173 _let_467 _let_143 _let_150 _let_491 _let_156 _let_120 _let_122 _let_167 _let_510 _let_217 _let_536 _let_138 _let_528 _let_146 _let_149 _let_118 _let_147 _let_513 _let_119 _let_499 _let_168 _let_124 _let_144 _let_151 _let_164 _let_137 _let_162 _let_153 _let_135 _let_517 _let_475 _let_474 _let_529 _let_508))) _let_244) :args (_let_30 _let_118 _let_119 _let_138 _let_120 _let_122 _let_475 _let_143 _let_144 _let_504 _let_505 _let_146 _let_445 _let_147 _let_506 _let_149 _let_150 _let_124 _let_151 _let_164 _let_153 _let_155 _let_156 _let_134 _let_135 _let_499 _let_502 _let_137 _let_501 _let_159 _let_162 _let_178 _let_513 _let_516 _let_517 _let_474 _let_167 _let_171 _let_508 _let_168 _let_173 _let_510 _let_192 _let_174 _let_511 _let_199 _let_491 _let_527 _let_224 _let_212 _let_518 _let_519 _let_528 _let_226 _let_227 _let_529 _let_467 _let_530 _let_532 _let_228 _let_524 _let_520 _let_523 _let_534 _let_535 _let_231 _let_536 _let_526 _let_537 _let_538 _let_540 _let_541 _let_217 _let_221 _let_223)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_244)) (TRUE_INTRO (TRANS (TRANS (SYMM (SYMM (ASSUME :args (_let_894)))) _let_902 _let_899) _let_900 _let_898 (SYMM (TRANS (SYMM (ASSUME :args (_let_895))) _let_900 _let_898)))))) :args (_let_504 _let_896 _let_895 _let_517 _let_894 _let_30)) :args ((not (and _let_30 _let_118 _let_119 _let_138 _let_120 _let_122 _let_475 _let_143 _let_144 _let_504 _let_505 _let_146 _let_445 _let_147 _let_506 _let_149 _let_150 _let_124 _let_151 _let_164 _let_153 _let_155 _let_156 _let_134 _let_135 _let_499 _let_502 _let_137 _let_501 _let_159 _let_162 _let_178 _let_513 _let_516 _let_517 _let_474 _let_167 _let_171 _let_508 _let_168 _let_173 _let_510 _let_192 _let_174 _let_511 _let_199 _let_491 _let_527 _let_224 _let_212 _let_518 _let_519 _let_528 _let_226 _let_227 _let_529 _let_467 _let_530 _let_532 _let_228 _let_524 _let_520 _let_523 _let_534 _let_535 _let_231 _let_536 _let_526 _let_537 _let_538 _let_540 _let_541 _let_217 _let_221 _let_223)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) _let_612 _let_611 _let_610 _let_609 _let_608 _let_607 (REFL :args (_let_890)) _let_606 (REFL :args (_let_889)) (REFL :args (_let_888)) _let_605 _let_893 _let_604 (REFL :args (_let_887)) _let_603 _let_602 (REFL :args (_let_886)) (REFL :args (_let_885)) (REFL :args (_let_884)) _let_600 _let_739 _let_599 (REFL :args (_let_883)) (REFL :args (_let_882)) (REFL :args (_let_881)) (REFL :args (_let_880)) _let_892 (REFL :args (_let_878)) (REFL :args (_let_877)) _let_598 (REFL :args (_let_876)) (REFL :args (_let_875)) (REFL :args (_let_874)) (REFL :args (_let_873)) _let_597 (REFL :args (_let_872)) (REFL :args (_let_871)) (REFL :args (_let_870)) _let_596 _let_891 (REFL :args (_let_868)) (REFL :args (_let_867)) (REFL :args (_let_866)) (REFL :args (_let_865)) (REFL :args (_let_864)) (REFL :args (_let_863)) (REFL :args (_let_862)) _let_592 _let_591 (REFL :args (_let_861)) (REFL :args (_let_860)) (REFL :args (_let_859)) _let_590 _let_589 (REFL :args (_let_858)) _let_588 (REFL :args (_let_857)) (REFL :args (_let_856)) _let_587 (REFL :args (_let_855)) (REFL :args (_let_854)) (REFL :args (_let_853)) (REFL :args (_let_852)) (REFL :args (_let_851)) (REFL :args (_let_850)) (REFL :args (_let_849)) (REFL :args (_let_848)) (REFL :args (_let_847)) (REFL :args (_let_846)) (REFL :args (_let_845)) (REFL :args (_let_844)) (REFL :args (_let_843)) (REFL :args (_let_842)) (REFL :args (_let_841)) :args _let_583)) :args ((or _let_29 _let_582 _let_581 _let_451 _let_580 _let_579 _let_578 _let_577 _let_890 _let_576 _let_889 _let_888 _let_575 _let_574 _let_887 _let_573 _let_572 _let_886 _let_885 _let_884 _let_427 _let_738 _let_570 _let_883 _let_882 _let_881 _let_880 _let_879 _let_878 _let_877 _let_569 _let_876 _let_875 _let_874 _let_873 _let_568 _let_872 _let_871 _let_870 _let_567 _let_869 _let_868 _let_867 _let_866 _let_865 _let_864 _let_863 _let_862 _let_563 _let_562 _let_861 _let_860 _let_859 _let_561 _let_560 _let_858 _let_559 _let_857 _let_856 _let_558 _let_855 _let_854 _let_853 _let_852 _let_851 _let_850 _let_849 _let_848 _let_847 _let_846 _let_845 _let_844 _let_843 _let_842 _let_841))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_840)) :args ((or _let_360 _let_541 (not _let_840)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_552 :args (tptp.tc_RealDef_Oreal _let_200 _let_127 _let_130 _let_127 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_ly _let_553 T_a) T_a)))) :args _let_551)) _let_552 :args (_let_840 false _let_39)) :args (_let_541 false _let_12 false _let_840)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_839)) :args ((or _let_360 _let_540 (not _let_839)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_441 :args (tptp.tc_RealDef_Oreal _let_130 _let_127 _let_200 _let_127 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_440)) _let_441 :args (_let_839 false _let_40)) :args (_let_540 false _let_12 false _let_839)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_838)) :args ((or _let_307 _let_821 _let_538 (not _let_838)))) _let_312 _let_837 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_390 :args (tptp.tc_RealDef_Oreal _let_127 _let_160 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_391)) :args _let_389))) _let_390 :args (_let_838 false _let_41)) :args (_let_538 false _let_7 true _let_821 false _let_838)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_822)) :args ((or _let_307 _let_821 _let_537 (not _let_822)))) _let_312 _let_837 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_390 :args (tptp.tc_RealDef_Oreal _let_127 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_391)) :args _let_389))) _let_390 :args (_let_822 false _let_41)) :args (_let_537 false _let_7 true _let_821 false _let_822)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_820)) :args ((or _let_360 _let_536 (not _let_820)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_479 :args (tptp.tc_RealDef_Oreal _let_16 QUANTIFIERS_INST_E_MATCHING _let_481)) :args _let_480)) _let_479 :args (_let_820 false _let_478)) :args (_let_536 false _let_12 false _let_820)) _let_482 _let_435 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_819)) :args ((or _let_360 _let_535 (not _let_819)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_378 :args (tptp.tc_RealDef_Oreal _let_94 _let_130 _let_127 QUANTIFIERS_INST_E_MATCHING _let_379)) :args _let_377)) _let_378 :args (_let_819 false _let_61)) :args (_let_535 false _let_12 false _let_819)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_818)) :args ((or _let_360 _let_534 (not _let_818)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_378 :args (tptp.tc_RealDef_Oreal _let_127 _let_130 _let_127 QUANTIFIERS_INST_E_MATCHING _let_379)) :args _let_377))) _let_378 :args (_let_818 false _let_61)) :args (_let_534 false _let_12 false _let_818)) _let_426 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_817)) :args ((or _let_360 _let_532 (not _let_817)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_374 :args (tptp.tc_RealDef_Oreal _let_514 _let_65 _let_531 QUANTIFIERS_INST_E_MATCHING _let_375)) :args _let_373)) _let_374 :args (_let_817 false _let_99)) :args (_let_532 false _let_12 false _let_817)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_814)) :args ((or _let_360 _let_530 (not _let_814)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_816 :args (tptp.tc_RealDef_Oreal _let_514 _let_68 _let_65 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))) :args _let_815)) _let_816 :args (_let_814 false _let_100)) :args (_let_530 false _let_12 false _let_814)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_811)) :args ((or _let_810 _let_529 (not _let_811)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_813 :args (tptp.tc_Complex_Ocomplex _let_23 QUANTIFIERS_INST_E_MATCHING ((tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oone__class_Oone T_a) V_n T_a)))) :args (_let_812))) _let_813 :args (_let_811 false _let_812)) :args (_let_529 false _let_2 false _let_811)) _let_421 _let_417 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_807)) :args ((or _let_285 _let_528 (not _let_807)))) _let_289 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_809 :args (tptp.tc_RealDef_Oreal _let_160 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)))) :args (_let_808))) _let_809 :args (_let_807 false _let_808)) :args (_let_528 false _let_8 false _let_807)) _let_411 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_806)) :args ((or _let_360 _let_527 (not _let_806)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (tptp.tc_RealDef_Oreal _let_26 QUANTIFIERS_INST_E_MATCHING _let_365)) :args _let_364)) _let_363 :args (_let_806 false _let_362)) :args (_let_527 false _let_12 false _let_806)) _let_409 _let_408 _let_407 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_263 :args (_let_525 _let_23 QUANTIFIERS_INST_E_MATCHING _let_264)) :args _let_262)) _let_263 :args (_let_526 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_350 :args (_let_200 _let_16 _let_127 QUANTIFIERS_INST_E_MATCHING _let_353)) :args _let_349))) _let_350 :args (_let_524 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_350 :args (_let_130 _let_127 _let_127 QUANTIFIERS_INST_E_MATCHING _let_351)) :args _let_349))) _let_350 :args (_let_523 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_350 :args (_let_130 _let_127 _let_26 QUANTIFIERS_INST_E_MATCHING _let_351)) :args _let_349))) _let_350 :args (_let_520 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_246 :args (_let_169 _let_169 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_247)) :args _let_245)) _let_246 :args (_let_519 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_246 :args (_let_148 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_247)) :args _let_245)) _let_246 :args (_let_518 false _let_114)) _let_406 _let_401 _let_392 _let_547 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_803)) :args ((or _let_787 _let_517 (not _let_803)))) _let_792 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_805 :args (tptp.tc_Complex_Ocomplex _let_497 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Power_Opower__class_Opower V_a _let_31 T_a)))) :args _let_804))) _let_805 :args (_let_803 false _let_80)) :args (_let_517 false _let_1 false _let_803)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_802)) :args ((or _let_360 _let_516 (not _let_802)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_374 :args (tptp.tc_RealDef_Oreal _let_65 _let_65 tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING _let_375)) :args _let_373)) _let_374 :args (_let_802 false _let_99)) :args (_let_516 false _let_12 false _let_802)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_799)) :args ((or _let_360 _let_513 (not _let_799)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_801 :args (tptp.tc_RealDef_Oreal _let_160 _let_65 _let_65 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a)))) :args _let_800)) _let_801 :args (_let_799 false _let_112)) :args (_let_513 false _let_12 false _let_799)) _let_367 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (_let_160 tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_356)) _let_357 :args (_let_511 false _let_35)) _let_359 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_259 :args (tptp.v_k tptp.v_d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_258)) _let_259 :args (_let_510 false _let_50)) _let_355 _let_354 _let_352 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_350 :args (_let_65 _let_19 _let_93 QUANTIFIERS_INST_E_MATCHING _let_351)) :args _let_349))) _let_350 :args (_let_508 false _let_62)) _let_348 _let_345 _let_334 _let_332 _let_327 _let_325 _let_319 _let_315 _let_303 _let_298 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_796)) :args ((or _let_276 _let_506 (not _let_796)))) _let_281 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_798 :args (tptp.tc_RealDef_Oreal tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of _let_18 T_a) V_z T_a)))) :args _let_797)) _let_798 :args (_let_796 false _let_76)) :args (_let_506 false _let_5 false _let_796)) _let_294 _let_290 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_793)) :args ((or _let_276 _let_505 (not _let_793)))) _let_281 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_795 :args (tptp.tc_RealDef_Oreal QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Int_Onumber__ring T_a) false))))) :args _let_794))) _let_795 :args (_let_793 false _let_89)) :args (_let_505 false _let_5 false _let_793)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_789)) :args ((or _let_788 _let_787 _let_504 (not _let_789)))) (ASSUME :args (_let_3)) _let_792 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_791 :args (tptp.tc_Complex_Ocomplex QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Osemiring__0 T_a) false))))) :args _let_790))) _let_791 :args (_let_789 false _let_90)) :args (_let_504 false _let_3 false _let_1 false _let_789)) _let_284 _let_282 _let_545 _let_275 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (_let_19 tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_356)) _let_357 :args (_let_502 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_268 :args (tptp.v_d tptp.v_k QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_269)) :args _let_267)) _let_268 :args (_let_501 false _let_36)) _let_270 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_263 :args (_let_68 _let_31 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealDef_Oreal V_n tptp.tc_nat) V_a tptp.tc_RealDef_Oreal)))) :args _let_262)) _let_263 :args (_let_499 false _let_43)) _let_266 _let_265 _let_255 _let_252 _let_248 _let_244 _let_243 _let_242 (REORDERING (CNF_OR_POS :args (_let_496)) :args ((or _let_492 _let_495 _let_458 _let_445 (not _let_496)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_774 :args (tptp.tc_RealDef_Oreal _let_68 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_lessequals V_a V_b T_a) false))))) :args _let_773)) _let_774 :args (_let_496 false _let_117)) _let_765 _let_756 (REORDERING (CNF_OR_POS :args (_let_493)) :args ((or _let_492 _let_484 _let_490 _let_491 (not _let_493)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_774 :args (tptp.tc_RealDef_Oreal _let_483 _let_160 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_775)) :args _let_773))) _let_774 :args (_let_493 false _let_117)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_776)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_777 _let_242 _let_627 _let_631 _let_741 _let_637 _let_669) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS _let_786 _let_785 _let_742 _let_242 _let_627 _let_636) _let_778) _let_618 _let_617 :args (APPLY_UF tptp.c_lessequals)) (TRUE_INTRO _let_777))) :args (_let_757 _let_118 _let_122 _let_138 _let_155 _let_149 _let_120))) :args (_let_118 _let_138 _let_120 _let_122 _let_149 _let_155 _let_757))) :args (true _let_776)) _let_242 _let_275 _let_248 _let_252 _let_298 _let_325 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_760)) :args ((or _let_759 _let_495 _let_757 (not _let_760)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_768)) :args ((or _let_766 _let_767 _let_758 (not _let_768)))) (ASSUME :args (_let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_772)) :args ((or _let_101 _let_304 _let_492 _let_771 (not _let_772)))) _let_752 _let_314 _let_756 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_774 :args (tptp.tc_RealDef_Oreal tptp.c_Transcendental_Opi _let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_775)) :args _let_773))) _let_774 :args (_let_772 false _let_117)) :args (_let_771 true _let_101 true _let_304 false _let_6 false _let_772)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_770 :args (_let_19 tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oinverse__class_Odivide V_x V_y tptp.tc_RealDef_Oreal)))) :args _let_769)) _let_770 :args (_let_768 false _let_103)) :args (_let_758 false _let_87 true _let_767 false _let_768)) _let_765 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_762 :args (_let_19 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oinverse__class_Odivide V_x V_y tptp.tc_RealDef_Oreal)))) :args _let_761)) _let_762 :args (_let_760 false _let_96)) :args (_let_757 false _let_758 false _let_494 false _let_760)) :args (_let_489 false _let_118 false _let_138 false _let_120 false _let_122 false _let_149 false _let_155 false _let_757)) _let_756 (REORDERING (CNF_OR_POS :args (_let_488)) :args ((or _let_306 _let_454 _let_486 _let_487 _let_459 (not _let_488)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_755 :args (tptp.tc_RealDef_Oreal _let_19 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)))) :args _let_754)) _let_755 :args (_let_488 false _let_63)) _let_753 _let_747 _let_313 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_740)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_614 _let_619 _let_623 _let_242 _let_627 _let_631 _let_243 _let_650 _let_644 _let_637 _let_639 _let_648 _let_661 _let_664 _let_669 _let_679 _let_681 _let_687 _let_690 _let_693 _let_698 _let_700 _let_712 _let_716 _let_719 _let_722 _let_725 _let_733 _let_741) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (TRANS (CONG (TRANS _let_673 (SYMM _let_746)) _let_672 _let_617 :args _let_652) (CONG (TRANS _let_746 _let_676) _let_672 _let_617 :args _let_652) _let_744 _let_242 _let_629 _let_636) _let_635) _let_618 _let_617 :args _let_616) _let_736 _let_710 _let_615)) :args (_let_584 _let_466 _let_162 _let_118 _let_122 _let_138 _let_119 _let_228 _let_153 _let_149 _let_212 _let_224 _let_226 _let_227 _let_120 _let_473 _let_129 _let_470 _let_472 _let_474 _let_475 _let_147 _let_146 _let_150 _let_168 _let_144 _let_156 _let_467 _let_155))) :args (_let_118 _let_119 _let_138 _let_120 _let_122 _let_475 _let_144 _let_146 _let_147 _let_149 _let_150 _let_129 _let_153 _let_155 _let_156 _let_162 _let_474 _let_168 _let_473 _let_472 _let_470 _let_224 _let_212 _let_226 _let_227 _let_467 _let_228 _let_466 _let_584))) :args (true _let_740)) (CONG _let_612 _let_611 _let_610 _let_609 _let_608 _let_607 _let_606 _let_605 _let_604 _let_603 _let_602 _let_601 _let_600 _let_739 _let_599 _let_598 _let_597 _let_596 _let_595 _let_594 _let_593 _let_592 _let_591 _let_590 _let_589 _let_588 _let_587 _let_586 _let_585 (REFL :args (_let_737)) :args _let_583)) :args ((or _let_582 _let_581 _let_580 _let_579 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_427 _let_738 _let_570 _let_569 _let_737 _let_568 _let_567 _let_566 _let_565 _let_564 _let_468 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557))) _let_482 _let_426 _let_421 _let_417 _let_411 _let_476 _let_406 _let_556 _let_554 _let_549 _let_547 _let_352 _let_334 _let_327 _let_325 _let_319 _let_303 _let_298 _let_294 _let_290 _let_284 _let_545 _let_275 _let_261 _let_252 _let_248 _let_243 _let_242 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_613)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_648 _let_619 _let_650 _let_733 _let_661 _let_687 _let_690 _let_693 _let_614 _let_623 _let_719 _let_243 _let_242 _let_712 _let_631 _let_669 _let_639 _let_725 _let_716 _let_679 _let_698 _let_664 _let_722 _let_700 _let_627 _let_637 _let_644 _let_681) (SCOPE (FALSE_ELIM (TRANS _let_736 _let_710 _let_615)) :args (_let_224 _let_466 _let_228 _let_467 _let_226 _let_470 _let_472 _let_474 _let_584 _let_162 _let_168 _let_119 _let_118 _let_146 _let_138 _let_120 _let_212 _let_156 _let_150 _let_473 _let_475 _let_227 _let_144 _let_147 _let_122 _let_149 _let_153 _let_129))) :args (_let_118 _let_119 _let_138 _let_120 _let_122 _let_475 _let_144 _let_146 _let_147 _let_149 _let_150 _let_129 _let_153 _let_156 _let_162 _let_474 _let_168 _let_473 _let_472 _let_470 _let_224 _let_212 _let_226 _let_227 _let_467 _let_228 _let_466 _let_584))) :args (true _let_613)) (CONG _let_612 _let_611 _let_610 _let_609 _let_608 _let_607 _let_606 _let_605 _let_604 _let_603 _let_602 _let_601 _let_600 _let_599 _let_598 _let_597 _let_596 _let_595 _let_594 _let_593 _let_592 _let_591 _let_590 _let_589 _let_588 _let_587 _let_586 _let_585 (REFL :args (_let_460)) :args _let_583)) :args ((or _let_582 _let_581 _let_580 _let_579 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_427 _let_570 _let_569 _let_460 _let_568 _let_567 _let_566 _let_565 _let_564 _let_468 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557))) _let_482 _let_426 _let_421 _let_417 _let_411 _let_476 _let_406 _let_556 _let_554 _let_549 _let_547 _let_352 _let_334 _let_327 _let_319 _let_303 _let_298 _let_294 _let_290 _let_284 _let_545 _let_275 _let_261 _let_252 _let_248 _let_243 _let_242 :args (_let_468 false _let_541 false _let_540 false _let_538 false _let_537 false _let_536 false _let_467 false _let_231 false _let_535 false _let_534 false _let_228 false _let_532 false _let_530 false _let_529 false _let_227 false _let_226 false _let_528 false _let_224 false _let_527 false _let_223 false _let_221 false _let_217 false _let_526 false _let_524 false _let_523 false _let_520 false _let_519 false _let_518 false _let_212 false _let_199 false _let_192 false _let_474 false _let_517 false _let_516 false _let_513 false _let_178 false _let_511 false _let_174 false _let_510 false _let_173 false _let_171 false _let_168 false _let_508 false _let_167 false _let_164 false _let_162 false _let_159 false _let_156 false _let_155 false _let_153 false _let_151 false _let_150 false _let_149 false _let_506 false _let_147 false _let_146 false _let_505 false _let_504 false _let_144 false _let_143 false _let_475 false _let_138 false _let_502 false _let_501 false _let_137 false _let_499 false _let_135 false _let_134 false _let_124 false _let_122 false _let_120 true _let_29 false _let_119 false _let_118 false _let_445 false _let_496 false _let_494 false _let_6 false _let_491 false _let_493 false _let_489 false _let_6 true _let_458 false _let_488 false _let_485 false _let_10 false _let_13 true _let_484 false _let_467 false _let_228 false _let_227 false _let_226 false _let_224 false _let_466 false _let_212 false _let_470 false _let_472 false _let_473 false _let_474 false _let_168 false _let_162 false _let_156 false _let_155 false _let_153 false _let_150 false _let_149 false _let_147 false _let_146 false _let_144 false _let_475 false _let_138 false _let_129 false _let_122 false _let_120 false _let_119 false _let_118 true _let_459 false _let_467 false _let_228 false _let_227 false _let_226 false _let_224 false _let_466 false _let_212 false _let_470 false _let_472 false _let_473 false _let_474 false _let_168 false _let_162 false _let_156 false _let_153 false _let_150 false _let_149 false _let_147 false _let_146 false _let_144 false _let_475 false _let_138 false _let_129 false _let_122 false _let_120 false _let_119 false _let_118)) _let_411 _let_406 _let_417 _let_421 _let_482 _let_426 _let_476 :args (_let_459 false _let_118 false _let_119 false _let_138 false _let_120 false _let_122 false _let_475 false _let_144 false _let_146 false _let_147 false _let_149 false _let_150 false _let_129 false _let_153 false _let_156 false _let_162 false _let_474 false _let_168 false _let_473 false _let_472 false _let_470 false _let_468 false _let_224 false _let_212 false _let_226 false _let_227 false _let_467 false _let_228 false _let_466)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_464 :args (tptp.tc_RealDef_Oreal _let_25 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)))) :args _let_463)) _let_464 :args (_let_462 false _let_59)) :args (_let_458 false _let_13 false _let_10 true _let_461 false _let_459 false _let_462)))) (let ((_let_1177 (and _let_118 _let_138 _let_122 _let_458 _let_149))) (let ((_let_1178 (ASSUME :args (_let_458)))) (let ((_let_1179 (not _let_450))) (let ((_let_1180 (tptp.c_HOL_Oord__class_Oless _let_25 _let_154 tptp.tc_RealDef_Oreal))) (let ((_let_1181 (or _let_454 _let_306 _let_1180 _let_486 _let_1179))) (let ((_let_1182 (_let_57))) (let ((_let_1183 (ASSUME :args _let_1182))) (let ((_let_1184 (not _let_1180))) (let ((_let_1185 (and _let_118 _let_138 _let_122 _let_1171 _let_149))) (let ((_let_1186 (ASSUME :args (_let_1171)))) (let ((_let_1187 (not _let_449))) (let ((_let_1188 (ASSUME :args (_let_1179)))) (let ((_let_1189 (TRANS _let_943 (CONG _let_940 _let_834 :args _let_938)))) (let ((_let_1190 (SYMM _let_1154))) (let ((_let_1191 (CONG (REFL :args (_let_211)) _let_700 _let_617 :args _let_652))) (let ((_let_1192 (ASSUME :args (_let_449)))) (let ((_let_1193 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_1188 _let_644 _let_1091 _let_648 _let_242 _let_627 _let_631 _let_637 _let_939 _let_942 _let_700 _let_1192) :args (_let_118 _let_138 _let_122 _let_445 _let_147 _let_149 _let_153 _let_137 _let_1179 _let_173 _let_224 _let_449)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_1192)) (CONG (SYMM _let_1191) _let_642 _let_617 :args _let_616) (CONG (TRANS _let_1191 (CONG (TRANS (SYMM (TRANS _let_648 (SYMM (CONG _let_645 _let_642 _let_617 :args _let_643)) (SYMM (CONG (TRANS (TRANS _let_638 _let_627 _let_636) _let_1190) _let_642 _let_617 :args _let_643)))) (SYMM _let_1189)) _let_701 _let_617 :args _let_652) (CONG _let_1189 _let_672 _let_617 :args _let_652)) _let_1092 _let_617 :args _let_616) (FALSE_INTRO _let_1188))) :args (_let_1179 _let_153 _let_445 _let_224 _let_118 _let_122 _let_138 _let_149 _let_137 _let_173 _let_147 _let_449)) :args ((not (and _let_118 _let_138 _let_122 _let_445 _let_147 _let_149 _let_153 _let_137 _let_1179 _let_173 _let_224 _let_449)) SB_LITERAL))) (CONG _let_612 _let_610 _let_608 _let_893 _let_604 _let_603 _let_600 _let_892 (MACRO_SR_PRED_INTRO :args ((= (not _let_1179) _let_450))) _let_891 _let_592 (REFL :args (_let_1187)) :args _let_583)) :args ((or _let_582 _let_451 _let_580 _let_578 _let_574 _let_573 _let_427 _let_879 _let_450 _let_869 _let_563 _let_1187))) _let_242 _let_275 _let_252 _let_294 _let_298 _let_319 _let_270 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1181)) :args ((or _let_306 _let_454 _let_486 _let_1180 _let_1179 (not _let_1181)))) _let_313 _let_747 _let_753 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1185)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1186 _let_242 _let_637 _let_631 _let_627) (SCOPE (FALSE_ELIM (TRANS (CONG _let_642 (TRANS (CONG (TRANS _let_242 _let_629 (CONG (SYMM _let_633) _let_622 _let_617 :args _let_621)) _let_672 _let_617 :args _let_621) _let_1153 _let_626) _let_617 :args _let_616) (FALSE_INTRO _let_1186))) :args (_let_1171 _let_118 _let_149 _let_138 _let_122))) :args (_let_118 _let_138 _let_122 _let_1171 _let_149))) :args (true _let_1185)) (CONG _let_612 _let_610 _let_608 (MACRO_SR_PRED_INTRO :args ((= (not _let_1171) _let_461))) _let_603 (REFL :args (_let_1184)) :args _let_583)) :args ((or _let_582 _let_461 _let_580 _let_578 _let_573 _let_1184))) _let_242 _let_1175 _let_275 _let_252 _let_298 :args (_let_1184 false _let_118 true _let_461 false _let_138 false _let_122 false _let_149)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1183 :args (tptp.tc_RealDef_Oreal _let_25 _let_68 _let_19 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a) true))))) :args _let_1182)) _let_1183 :args (_let_1181 false _let_57)) :args (_let_1179 false _let_13 false _let_10 false _let_485 true _let_1180 false _let_1181)) _let_355 _let_411 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_455)) :args ((or _let_454 _let_453 _let_449 (not _let_455)))) _let_747 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1177)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1178 _let_242 _let_627 _let_631 _let_637) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_1159) _let_642 _let_617 :args _let_616) (CONG (TRANS _let_1160 _let_778) _let_642 _let_617 :args _let_616) (TRUE_INTRO _let_1178))) :args (_let_458 _let_118 _let_122 _let_138 _let_149))) :args (_let_118 _let_138 _let_122 _let_458 _let_149))) :args (true _let_1177)) :args ((or _let_582 _let_487 _let_580 _let_578 _let_573 _let_452))) _let_242 _let_1176 _let_275 _let_252 _let_298 :args (_let_452 false _let_118 false _let_458 false _let_138 false _let_122 false _let_149)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_457 :args (tptp.tc_RealDef_Oreal _let_148 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a)))) :args _let_456)) _let_457 :args (_let_455 false _let_108)) :args (_let_449 false _let_10 false _let_452 false _let_455)) :args (_let_451 false _let_118 false _let_138 false _let_122 false _let_147 false _let_149 false _let_153 false _let_137 true _let_450 false _let_173 false _let_224 false _let_449)))) (let ((_let_1194 (or _let_307 _let_306 _let_240 _let_445))) (let ((_let_1195 (_let_91))) (let ((_let_1196 (ASSUME :args _let_1195))) (let ((_let_1197 (= _let_68 _let_16))) (let ((_let_1198 (or _let_307 _let_1197 _let_241))) (let ((_let_1199 (tptp.c_HOL_Oord__class_Oless _let_68 _let_16 tptp.tc_RealDef_Oreal))) (let ((_let_1200 (tptp.c_HOL_Oord__class_Oless _let_77 _let_68 tptp.tc_RealDef_Oreal))) (let ((_let_1201 (not _let_1197))) (let ((_let_1202 (tptp.c_HOL_Oord__class_Oless _let_31 tptp.v_n tptp.tc_nat))) (let ((_let_1203 (not _let_1202))) (let ((_let_1204 (or _let_1199 _let_1203))) (let ((_let_1205 (_let_84))) (let ((_let_1206 (ASSUME :args _let_1205))) (let ((_let_1207 (tptp.c_HOL_Oord__class_Oless _let_31 _let_24 tptp.tc_nat))) (let ((_let_1208 (not _let_1207))) (let ((_let_1209 (not _let_15))) (let ((_let_1210 (or _let_1209 _let_1202 _let_832 _let_1208))) (let ((_let_1211 (_let_37))) (let ((_let_1212 (ASSUME :args _let_1211))) (let ((_let_1213 (or _let_1207 _let_487))) (let ((_let_1214 (_let_85))) (let ((_let_1215 (ASSUME :args _let_1214))) (let ((_let_1216 (not _let_1200))) (let ((_let_1217 (not _let_1199))) (let ((_let_1218 (ASSUME :args (_let_1216)))) (let ((_let_1219 (ASSUME :args (_let_1197)))) (let ((_let_1220 (TRANS (TRANS _let_1159 _let_638 _let_627 _let_636) _let_778))) (let ((_let_1221 (ASSUME :args (_let_1199)))) (let ((_let_1222 (and _let_118 _let_119 _let_138 _let_120 _let_122 _let_143 _let_144 _let_146 _let_147 _let_149 _let_150 _let_124 _let_151 _let_126 _let_164 _let_239 _let_129 _let_133 _let_153 _let_155 _let_156 _let_134 _let_135 _let_137 _let_159 _let_162 _let_178 _let_179 _let_182 _let_183 _let_167 _let_171 _let_168 _let_186 _let_187 _let_189 _let_173 _let_191 _let_241 _let_192 _let_195 _let_198 _let_174 _let_176 _let_199 _let_202 _let_205 _let_208 _let_210 _let_224 _let_212 _let_215 _let_214 _let_226 _let_227 _let_240 _let_228 _let_229 _let_230 _let_231 _let_233 _let_234 _let_236 _let_237 _let_217 _let_218 _let_219 _let_220 _let_221 _let_222 _let_223 _let_238))) (let ((_let_1223 (ASSUME :args (_let_186)))) (let ((_let_1224 (ASSUME :args (_let_218)))) (let ((_let_1225 (CONG _let_1056 _let_972 _let_617 :args _let_621))) (let ((_let_1226 (CONG _let_991 _let_980 _let_617 :args _let_621))) (let ((_let_1227 (ASSUME :args (_let_187)))) (let ((_let_1228 (TRANS _let_991 _let_700))) (let ((_let_1229 (TRANS (CONG (TRANS (SYMM _let_1226) (CONG _let_1228 _let_980 _let_617 :args _let_621)) _let_982 _let_617 :args _let_621) (SYMM _let_1227) (CONG (TRANS _let_989 _let_990) _let_980 _let_617 :args _let_621) _let_1226))) (let ((_let_1230 (CONG _let_1229 _let_980 _let_617 :args _let_652))) (let ((_let_1231 (ASSUME :args (_let_239)))) (let ((_let_1232 (SYMM _let_1231))) (let ((_let_1233 (CONG (TRANS _let_1232 (SYMM _let_1229)) _let_972 _let_617 :args _let_652))) (let ((_let_1234 (REFL :args (_let_175)))) (let ((_let_1235 (CONG _let_1234 _let_971 _let_617 :args _let_652))) (let ((_let_1236 (ASSUME :args (_let_205)))) (let ((_let_1237 (SYMM (SYMM _let_1236)))) (let ((_let_1238 (ASSUME :args (_let_222)))) (let ((_let_1239 (TRANS (SYMM _let_979) (CONG _let_624 _let_980 _let_617 :args _let_652)))) (let ((_let_1240 (ASSUME :args (_let_238)))) (let ((_let_1241 (SYMM _let_1239))) (let ((_let_1242 (ASSUME :args (_let_233)))) (let ((_let_1243 (TRANS _let_992 (CONG _let_1228 _let_982 _let_617 :args _let_621) _let_989))) (let ((_let_1244 (SYMM _let_1243))) (let ((_let_1245 (TRANS (CONG _let_705 _let_1244 _let_617 :args _let_652) _let_997 _let_995 (CONG _let_672 (TRANS (CONG _let_971 _let_1243 _let_617 :args _let_652) _let_987) _let_617 :args _let_621) _let_986 _let_972))) (let ((_let_1246 (CONG _let_645 _let_1015 _let_617 :args _let_643))) (let ((_let_1247 (ASSUME :args (_let_183)))) (let ((_let_1248 (SYMM _let_1246))) (let ((_let_1249 (SYMM _let_786))) (let ((_let_1250 (SYMM _let_785))) (let ((_let_1251 (CONG _let_1156 (TRANS (TRANS _let_1155 _let_640 _let_638 _let_627 _let_636) _let_778) _let_617 :args _let_621))) (let ((_let_1252 (SYMM _let_781))) (let ((_let_1253 (CONG (TRANS _let_1252 (TRANS _let_669 (SYMM _let_783) _let_1158)) _let_642 _let_617 :args _let_621))) (let ((_let_1254 (CONG (TRANS _let_782 _let_781) _let_642 _let_617 :args _let_621))) (let ((_let_1255 (CONG _let_642 _let_1156 _let_617 :args _let_621))) (let ((_let_1256 (ASSUME :args (_let_202)))) (let ((_let_1257 (SYMM _let_1256))) (let ((_let_1258 (CONG _let_1234 (TRANS (SYMM _let_779) _let_638 _let_626 _let_243) _let_617 :args _let_652))) (let ((_let_1259 (ASSUME :args (_let_191)))) (let ((_let_1260 (SYMM _let_1259))) (let ((_let_1261 (SYMM _let_1260))) (let ((_let_1262 (ASSUME :args (_let_126)))) (let ((_let_1263 (ASSUME :args (_let_195)))) (let ((_let_1264 (TRANS (SYMM _let_1263) _let_683))) (let ((_let_1265 (ASSUME :args (_let_208)))) (let ((_let_1266 (TRANS (TRANS (SYMM (SYMM _let_1265)) (CONG (SYMM _let_1264) (REFL :args (_let_125)) _let_617 :args _let_652) (CONG (TRANS _let_1264 _let_1232) (SYMM _let_724) _let_617 :args _let_652) (CONG _let_705 _let_724 _let_617 :args _let_652) (SYMM _let_1262) _let_1063) _let_1064))) (let ((_let_1267 (SYMM _let_1258))) (let ((_let_1268 (REFL :args (_let_207)))) (let ((_let_1269 (ASSUME :args (_let_215)))) (let ((_let_1270 (ASSUME :args (_let_229)))) (let ((_let_1271 (CONG _let_1252 _let_672 _let_617 :args _let_621))) (let ((_let_1272 (TRANS _let_729 _let_727 _let_721 _let_1271 _let_638 _let_626))) (let ((_let_1273 (CONG (TRANS (TRANS (CONG (TRANS _let_1272 _let_716) _let_715 _let_617 :args _let_714) _let_718 _let_713 _let_1167) _let_781) _let_642 _let_617 :args _let_621))) (let ((_let_1274 (SYMM _let_1273))) (let ((_let_1275 (TRANS _let_1254 _let_1274))) (let ((_let_1276 (TRANS (SYMM _let_1251) _let_662 _let_664 (SYMM _let_1253) (SYMM _let_1254)))) (let ((_let_1277 (ASSUME :args (_let_240)))) (let ((_let_1278 (CONG _let_924 (REFL :args (_let_190)) _let_617 :args _let_621))) (let ((_let_1279 (TRANS _let_1278 _let_1261 _let_1258 _let_1257 _let_937 _let_1255 _let_934 _let_1254 _let_1274))) (let ((_let_1280 (TRANS _let_1256 _let_1267 _let_1260 (SYMM _let_1278)))) (let ((_let_1281 (TRANS (TRANS (CONG (TRANS (CONG _let_1063 _let_642 _let_617 :args _let_652) (CONG (TRANS (TRANS _let_1248 (CONG (TRANS _let_1154 _let_1276 _let_1275 (SYMM _let_1279) (SYMM _let_1280)) (SYMM _let_1266) _let_617 :args _let_643)) (CONG (TRANS _let_1280 _let_1279 (SYMM _let_1275) (SYMM _let_1276) _let_778) _let_1268 _let_617 :args _let_643)) _let_642 _let_617 :args _let_652) (SYMM _let_1277) (CONG (REFL :args (_let_206)) (TRANS (CONG (SYMM _let_1272) _let_642 _let_617 :args _let_652) (CONG (TRANS (SYMM (TRANS _let_634 _let_628 _let_780 (SYMM _let_1271) _let_720 (SYMM _let_727) (SYMM _let_729))) _let_1276 _let_1275 (TRANS _let_1273 (CONG (TRANS _let_1252 _let_1190) _let_642 _let_617 :args _let_621))) _let_642 _let_617 :args _let_652) (SYMM _let_1270) _let_645 _let_650 _let_1100 _let_950) _let_617 :args _let_643)) _let_642 _let_617 :args _let_621) (SYMM _let_1269) (CONG _let_1268 (TRANS _let_1256 _let_1267 _let_1260) _let_617 :args _let_643) (CONG _let_1266 (TRANS (TRANS _let_1261 _let_1258 _let_1257 _let_937 _let_1255 _let_934 _let_1254 _let_1253 _let_665 _let_663 _let_1251 _let_634 _let_628 _let_626 _let_741 _let_1250 _let_1249) (SYMM (TRANS _let_741 _let_1250 _let_1249))) _let_617 :args _let_643) (CONG (TRANS _let_1063 (TRANS _let_1248 (CONG _let_1154 _let_1015 _let_617 :args _let_643))) _let_782 _let_617 :args _let_643) (SYMM _let_1247) (CONG (TRANS (TRANS _let_627 _let_636) _let_1190) _let_1015 _let_617 :args _let_643) _let_1246) _let_1064))) (let ((_let_1282 (ASSUME :args (_let_214)))) (let ((_let_1283 (ASSUME :args (_let_182)))) (let ((_let_1284 (ASSUME :args (_let_210)))) (let ((_let_1285 (ASSUME :args (_let_236)))) (let ((_let_1286 (REFL :args (_let_203)))) (let ((_let_1287 (CONG _let_1286 _let_1189 _let_617 :args _let_621))) (let ((_let_1288 (TRANS _let_1287 _let_1237 _let_1235 _let_1233 _let_1230 _let_991))) (let ((_let_1289 (REFL :args (_let_180)))) (let ((_let_1290 (ASSUME :args (_let_230)))) (let ((_let_1291 (CONG _let_1027 _let_1243 _let_617 :args _let_652))) (let ((_let_1292 (CONG _let_653 _let_1244 _let_617 :args _let_652))) (let ((_let_1293 (ASSUME :args (_let_237)))) (let ((_let_1294 (REFL :args (_let_188)))) (let ((_let_1295 (ASSUME :args (_let_179)))) (let ((_let_1296 (ASSUME :args (_let_189)))) (let ((_let_1297 (ASSUME :args (_let_176)))) (let ((_let_1298 (ASSUME :args (_let_234)))) (let ((_let_1299 (ASSUME :args (_let_241)))) (let ((_let_1300 (ASSUME :args (_let_219)))) (let ((_let_1301 (ASSUME :args (_let_220)))) (let ((_let_1302 (ASSUME :args (_let_198)))) (let ((_let_1303 (ASSUME :args (_let_133)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1222)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1299 _let_1298 _let_1284 _let_1283 _let_1259 _let_1236 _let_1303 _let_978 _let_1295 _let_712 _let_631 _let_933 _let_1050 _let_1296 _let_1063 _let_681 _let_661 _let_1224 _let_939 _let_971 _let_1300 _let_990 _let_722 _let_1282 _let_623 _let_242 _let_648 _let_719 _let_243 _let_994 _let_644 _let_637 _let_627 _let_1256 _let_1052 _let_1240 _let_741 _let_669 _let_1262 _let_725 _let_1285 _let_716 _let_988 _let_1231 _let_1265 _let_942 _let_1247 _let_700 _let_1024 _let_1277 _let_1223 _let_1290 _let_1227 _let_1263 _let_1302 _let_1048 _let_985 _let_1301 _let_1297 _let_1035 _let_996 _let_639 _let_1269 _let_664 _let_650 _let_935 _let_1270 _let_1022 _let_1242 _let_1293 _let_1238 _let_1019) (SCOPE (TRANS _let_1049 (CONG (TRANS (CONG (SYMM (SYMM _let_1303)) _let_623 _let_617 :args _let_621) (SYMM (SYMM _let_1302)) (SYMM (SYMM _let_1301)) (CONG (SYMM _let_1225) (TRANS (SYMM _let_1300) (CONG _let_1239 _let_948 _let_617 :args _let_621) (CONG _let_1286 (SYMM (SYMM _let_1299)) _let_617 :args _let_621) (SYMM (SYMM _let_1298)) (CONG (TRANS _let_684 (TRANS (SYMM (SYMM _let_1297)) (CONG _let_681 _let_653 _let_617 :args _let_621))) (TRANS (CONG _let_971 _let_949 _let_617 :args _let_621) (SYMM (SYMM _let_1296)) (CONG _let_1294 _let_1295 _let_617 :args _let_621) (CONG _let_1294 (TRANS (SYMM _let_1295) (SYMM _let_1288)) _let_617 :args _let_621) (CONG _let_1294 _let_1287 _let_617 :args _let_621) (SYMM (SYMM _let_1293)) (CONG (TRANS (TRANS (CONG _let_1015 _let_1241 _let_617 :args _let_621) _let_1020) (TRANS _let_1022 (SYMM _let_1291) (SYMM _let_1292)) (TRANS _let_1292 _let_1291 _let_1023 (CONG _let_1239 _let_1015 _let_617 :args _let_621) (CONG _let_1286 (SYMM _let_1281) _let_617 :args _let_621) (SYMM _let_1290) (CONG _let_1289 (SYMM _let_1287) _let_617 :args _let_621) (CONG _let_1289 _let_1288 _let_617 :args _let_621))) (REFL :args (_let_235)) _let_617 :args _let_621) (SYMM (SYMM _let_1285)) (CONG _let_949 (TRANS (TRANS (CONG (TRANS (SYMM (SYMM _let_1284)) (CONG (REFL :args (_let_163)) _let_681 _let_617 :args _let_652) (CONG (TRANS _let_972 _let_1035) _let_682 _let_617 :args _let_652) (SYMM (SYMM _let_1283))) _let_642 _let_617 :args _let_621) (SYMM _let_1282) (CONG _let_1281 _let_1281 _let_617 :args _let_643) _let_1036) (SYMM _let_1245)) _let_617 :args _let_621) (CONG _let_949 _let_1245 _let_617 :args _let_621)) _let_617 :args _let_652) (SYMM _let_1242) (CONG (REFL :args (_let_232)) _let_1241 _let_617 :args _let_621) (SYMM (SYMM _let_1240)) (CONG (TRANS (TRANS (CONG _let_682 _let_1239 _let_617 :args _let_621) (SYMM _let_1238) _let_1237 _let_1235 _let_1233 _let_1230 _let_991) _let_700) _let_949 _let_617 :args _let_652) (CONG _let_701 _let_949 _let_617 :args _let_652)) _let_617 :args _let_621) (CONG _let_1225 _let_1053 _let_617 :args _let_621) (SYMM _let_1224) (SYMM _let_1223) (CONG _let_1056 (SYMM _let_1054) _let_617 :args _let_621) _let_1057) :args _let_910) _let_1051) :args (_let_241 _let_234 _let_210 _let_182 _let_191 _let_205 _let_133 _let_192 _let_179 _let_146 _let_138 _let_217 _let_134 _let_189 _let_178 _let_129 _let_226 _let_218 _let_137 _let_164 _let_219 _let_151 _let_144 _let_214 _let_162 _let_118 _let_224 _let_168 _let_119 _let_167 _let_153 _let_149 _let_122 _let_202 _let_159 _let_238 _let_155 _let_120 _let_126 _let_156 _let_236 _let_150 _let_143 _let_239 _let_208 _let_173 _let_183 _let_147 _let_171 _let_240 _let_186 _let_230 _let_187 _let_195 _let_198 _let_135 _let_174 _let_220 _let_176 _let_124 _let_199 _let_212 _let_215 _let_227 _let_228 _let_221 _let_229 _let_231 _let_233 _let_237 _let_222 _let_223))) :args (_let_118 _let_119 _let_138 _let_120 _let_122 _let_143 _let_144 _let_146 _let_147 _let_149 _let_150 _let_124 _let_151 _let_126 _let_164 _let_239 _let_129 _let_133 _let_153 _let_155 _let_156 _let_134 _let_135 _let_137 _let_159 _let_162 _let_178 _let_179 _let_182 _let_183 _let_167 _let_171 _let_168 _let_186 _let_187 _let_189 _let_173 _let_191 _let_241 _let_192 _let_195 _let_198 _let_174 _let_176 _let_199 _let_202 _let_205 _let_208 _let_210 _let_224 _let_212 _let_215 _let_214 _let_226 _let_227 _let_240 _let_228 _let_229 _let_230 _let_231 _let_233 _let_234 _let_236 _let_237 _let_217 _let_218 _let_219 _let_220 _let_221 _let_222 _let_223 _let_238))) :args (true _let_1222)) :args ((or _let_29 _let_582 _let_581 _let_580 _let_579 _let_578 _let_890 _let_576 _let_575 _let_574 _let_573 _let_572 _let_886 _let_885 (not _let_126) _let_884 (not _let_239) _let_571 (not _let_133) _let_427 _let_738 _let_570 _let_883 _let_882 _let_879 _let_877 _let_569 _let_876 (not _let_179) (not _let_182) (not _let_183) _let_872 _let_871 _let_567 (not _let_186) (not _let_187) (not _let_189) _let_869 (not _let_191) (not _let_241) _let_867 (not _let_195) (not _let_198) _let_866 (not _let_176) _let_864 (not _let_202) (not _let_205) (not _let_208) (not _let_210) _let_563 _let_562 (not _let_215) (not _let_214) _let_561 _let_560 (not _let_240) _let_558 (not _let_229) (not _let_230) _let_850 (not _let_233) (not _let_234) (not _let_236) (not _let_237) _let_843 (not _let_218) (not _let_219) (not _let_220) _let_842 (not _let_222) _let_841 (not _let_238)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1198)) :args ((or _let_307 _let_1197 _let_241 (not _let_1198)))) _let_312 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_1218 _let_243 _let_242 _let_627 _let_631 _let_1219 _let_637 _let_1221) :args (_let_118 _let_119 _let_138 _let_122 _let_1216 _let_1199 _let_1197 _let_149)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_1221)) (CONG (SYMM _let_1220) _let_949 _let_617 :args _let_616) (CONG _let_1220 (TRANS (TRANS (SYMM _let_1219) _let_242 _let_627 _let_636) _let_778 _let_656) _let_617 :args _let_616) (CONG _let_656 _let_655 _let_617 :args _let_616) (FALSE_INTRO _let_1218))) :args (_let_1216 _let_119 _let_118 _let_122 _let_138 _let_1197 _let_149 _let_1199)) :args ((not (and _let_118 _let_119 _let_138 _let_122 _let_1216 _let_1199 _let_1197 _let_149)) SB_LITERAL))) (CONG _let_612 _let_611 _let_610 _let_608 (MACRO_SR_PRED_INTRO :args ((= (not _let_1216) _let_1200))) (REFL :args (_let_1217)) (REFL :args (_let_1201)) _let_603 :args _let_583)) :args ((or _let_582 _let_581 _let_1200 _let_1217 _let_1201 _let_580 _let_578 _let_573))) _let_242 _let_243 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1173 :args (_let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1174)) :args _let_1172)) _let_1173 :args (_let_1216 false _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1204)) :args ((or _let_1199 _let_1203 (not _let_1204)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1210)) :args ((or _let_832 _let_1209 _let_1202 _let_1208 (not _let_1210)))) _let_831 (ASSUME :args (_let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1213)) :args ((or _let_487 _let_1207 (not _let_1213)))) _let_1176 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1215 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_RealDef_Oreal V_n tptp.tc_nat)))) :args _let_1214)) _let_1215 :args (_let_1213 false _let_85)) :args (_let_1207 false _let_458 false _let_1213)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1212 :args (tptp.tc_nat tptp.v_n tptp.v_d QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a)))) :args _let_1211)) _let_1212 :args (_let_1210 false _let_37)) :args (_let_1202 false _let_32 false _let_15 false _let_1207 false _let_1210)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1206 :args (tptp.v_n QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_RealDef_Oreal V_n tptp.tc_nat)))) :args _let_1205)) _let_1206 :args (_let_1204 false _let_84)) :args (_let_1199 false _let_1202 false _let_1204)) _let_275 _let_252 _let_298 :args (_let_1201 false _let_118 false _let_119 true _let_1200 false _let_1199 false _let_138 false _let_122 false _let_149)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_390 :args (tptp.tc_RealDef_Oreal _let_16 _let_127 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_391)) :args _let_389))) _let_390 :args (_let_1198 false _let_41)) :args (_let_241 false _let_7 true _let_1197 false _let_1198)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1194)) :args ((or _let_306 _let_307 _let_445 _let_240 (not _let_1194)))) _let_313 _let_312 _let_1193 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_1196 :args (tptp.tc_RealDef_Oreal _let_206 _let_68 _let_25 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) T_a)))) :args _let_1195))) _let_1196 :args (_let_1194 false _let_91)) :args (_let_240 false _let_13 false _let_7 true _let_445 false _let_1194)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_446)) :args ((or _let_306 _let_307 _let_445 _let_239 (not _let_446)))) _let_313 _let_312 _let_1193 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_448 :args (tptp.tc_RealDef_Oreal _let_20 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a)))) :args _let_447))) _let_448 :args (_let_446 false _let_52)) :args (_let_239 false _let_13 false _let_7 true _let_445 false _let_446)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_444)) :args ((or _let_306 _let_307 _let_238 (not _let_444)))) _let_313 _let_312 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_330 :args (tptp.tc_RealDef_Oreal _let_128 _let_16 _let_160 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) V_z T_a)))) :args _let_329)) _let_330 :args (_let_444 false _let_33)) :args (_let_238 false _let_13 false _let_7 false _let_444)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_443)) :args ((or _let_360 _let_237 (not _let_443)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (tptp.tc_RealDef_Oreal _let_65 _let_16 _let_203 _let_25 QUANTIFIERS_INST_E_MATCHING _let_396)) :args _let_394)) _let_395 :args (_let_443 false _let_38)) :args (_let_237 false _let_12 false _let_443)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_439)) :args ((or _let_360 _let_236 (not _let_439)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_441 :args (tptp.tc_RealDef_Oreal _let_180 _let_19 _let_16 _let_25 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_440)) _let_441 :args (_let_439 false _let_40)) :args (_let_236 false _let_12 false _let_439)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_438)) :args ((or _let_306 _let_307 _let_234 (not _let_438)))) _let_313 _let_312 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_387 :args (tptp.tc_RealDef_Oreal _let_26 tptp.c_Transcendental_Opi _let_128 _let_16 QUANTIFIERS_INST_E_MATCHING _let_437)) :args _let_386)) _let_387 :args (_let_438 false _let_42)) :args (_let_234 false _let_13 false _let_7 false _let_438)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_436)) :args ((or _let_306 _let_307 _let_233 (not _let_436)))) _let_313 _let_312 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_387 :args (tptp.tc_RealDef_Oreal _let_128 _let_16 _let_26 tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING _let_437)) :args _let_386)) _let_387 :args (_let_436 false _let_42)) :args (_let_233 false _let_13 false _let_7 false _let_436)) _let_435 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_431)) :args ((or _let_360 _let_230 (not _let_431)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_378 :args (tptp.tc_RealDef_Oreal _let_180 _let_203 _let_25 QUANTIFIERS_INST_E_MATCHING _let_379)) :args _let_377)) _let_378 :args (_let_431 false _let_61)) :args (_let_230 false _let_12 false _let_431)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_428)) :args ((or _let_306 _let_307 _let_305 _let_427 _let_229 (not _let_428)))) _let_313 _let_312 _let_311 _let_319 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_430 :args (tptp.tc_RealDef_Oreal tptp.c_Int_OPls _let_25 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a)))) :args (_let_429)))) _let_430 :args (_let_428 false _let_429)) :args (_let_229 false _let_13 false _let_7 false _let_4 false _let_153 false _let_428)) _let_426 _let_421 _let_417 _let_411 _let_409 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (_let_203 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_356)) _let_357 :args (_let_222 false _let_35)) _let_408 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (_let_196 _let_184 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_356)) _let_357 :args (_let_220 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_357 :args (_let_127 _let_160 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_356))) _let_357 :args (_let_219 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (_let_157 _let_184 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_356)) _let_357 :args (_let_218 false _let_35)) _let_407 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_250 :args (_let_206 _let_200 _let_25 QUANTIFIERS_INST_E_MATCHING _let_251)) :args _let_249))) _let_250 :args (_let_215 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_250 :args (_let_180 _let_180 _let_25 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_z1 V_z2 tptp.tc_RealDef_Oreal) V_w tptp.tc_RealDef_Oreal)))) :args _let_249))) _let_250 :args (_let_214 false _let_105)) _let_406 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_405)) :args ((or _let_306 _let_307 _let_210 (not _let_405)))) _let_313 _let_312 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_330 :args (tptp.tc_RealDef_Oreal _let_65 _let_25 _let_19 QUANTIFIERS_INST_E_MATCHING _let_331)) :args _let_329)) _let_330 :args (_let_405 false _let_33)) :args (_let_210 false _let_13 false _let_7 false _let_405)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_404)) :args ((or _let_306 _let_307 _let_208 (not _let_404)))) _let_313 _let_312 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_330 :args (tptp.tc_RealDef_Oreal _let_26 _let_125 _let_25 QUANTIFIERS_INST_E_MATCHING _let_331)) :args _let_329)) _let_330 :args (_let_404 false _let_33)) :args (_let_208 false _let_13 false _let_7 false _let_404)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_403)) :args ((or _let_306 _let_307 _let_205 (not _let_403)))) _let_313 _let_312 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_330 :args (tptp.tc_RealDef_Oreal _let_26 tptp.c_Transcendental_Opi _let_25 QUANTIFIERS_INST_E_MATCHING _let_331)) :args _let_329)) _let_330 :args (_let_403 false _let_33)) :args (_let_205 false _let_13 false _let_7 false _let_403)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_402)) :args ((or _let_306 _let_307 _let_202 (not _let_402)))) _let_313 _let_312 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_330 :args (tptp.tc_RealDef_Oreal _let_26 _let_77 _let_25 QUANTIFIERS_INST_E_MATCHING _let_331)) :args _let_329)) _let_330 :args (_let_402 false _let_33)) :args (_let_202 false _let_13 false _let_7 false _let_402)) _let_401 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_397)) :args ((or _let_360 _let_198 (not _let_397)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (tptp.tc_RealDef_Oreal _let_127 _let_130 _let_160 tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING _let_396)) :args _let_394)) _let_395 :args (_let_397 false _let_38)) :args (_let_198 false _let_12 false _let_397)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_393)) :args ((or _let_360 _let_195 (not _let_393)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (tptp.tc_RealDef_Oreal _let_160 tptp.c_Transcendental_Opi _let_127 _let_16 QUANTIFIERS_INST_E_MATCHING _let_396)) :args _let_394)) _let_395 :args (_let_393 false _let_38)) :args (_let_195 false _let_12 false _let_393)) _let_392 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_385)) :args ((or _let_306 _let_307 _let_191 (not _let_385)))) _let_313 _let_312 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_387 :args (tptp.tc_RealDef_Oreal _let_26 _let_68 _let_25 _let_19 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_w T_a) T_a)))) :args _let_386)) _let_387 :args (_let_385 false _let_42)) :args (_let_191 false _let_13 false _let_7 false _let_385)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_384)) :args ((or _let_360 _let_189 (not _let_384)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_382 :args (tptp.tc_RealDef_Oreal _let_65 _let_19 _let_16 QUANTIFIERS_INST_E_MATCHING _let_383)) :args _let_381)) _let_382 :args (_let_384 false _let_60)) :args (_let_189 false _let_12 false _let_384)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_380)) :args ((or _let_360 _let_187 (not _let_380)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_382 :args (tptp.tc_RealDef_Oreal _let_141 _let_139 tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING _let_383)) :args _let_381)) _let_382 :args (_let_380 false _let_60)) :args (_let_187 false _let_12 false _let_380)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_376)) :args ((or _let_360 _let_186 (not _let_376)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_378 :args (tptp.tc_RealDef_Oreal _let_130 _let_157 tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING _let_379)) :args _let_377)) _let_378 :args (_let_376 false _let_61)) :args (_let_186 false _let_12 false _let_376)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_372)) :args ((or _let_360 _let_183 (not _let_372)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_374 :args (tptp.tc_RealDef_Oreal _let_93 _let_93 _let_65 QUANTIFIERS_INST_E_MATCHING _let_375)) :args _let_373)) _let_374 :args (_let_372 false _let_99)) :args (_let_183 false _let_12 false _let_372)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_369)) :args ((or _let_307 _let_182 (not _let_369)))) _let_312 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_371 :args (tptp.tc_RealDef_Oreal _let_65 _let_65 _let_25 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a)))) :args _let_370)) _let_371 :args (_let_369 false _let_106)) :args (_let_182 false _let_7 false _let_369)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_368)) :args ((or _let_360 _let_179 (not _let_368)))) _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (tptp.tc_RealDef_Oreal _let_19 QUANTIFIERS_INST_E_MATCHING _let_365)) :args _let_364)) _let_363 :args (_let_368 false _let_362)) :args (_let_179 false _let_12 false _let_368)) _let_367 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (_let_26 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_356)) _let_357 :args (_let_176 false _let_35)) _let_359 _let_355 _let_354 _let_352 _let_348 _let_345 _let_334 _let_332 _let_327 _let_325 _let_319 _let_315 _let_303 _let_298 _let_294 _let_290 _let_284 _let_282 _let_275 _let_270 _let_266 _let_265 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_259 :args (tptp.v_d tptp.v_k QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_258)) _let_259 :args (_let_133 false _let_50)) _let_261 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_257 :args (_let_19 tptp.c_Transcendental_Opi QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Otimes__class_Otimes V_r V_a tptp.tc_RealDef_Oreal)))) :args _let_256))) _let_257 :args (_let_126 false _let_55)) _let_255 _let_252 _let_248 _let_244 _let_243 _let_242 :args (false false _let_241 false _let_240 false _let_239 false _let_238 false _let_237 false _let_236 false _let_234 false _let_233 false _let_231 false _let_230 false _let_229 false _let_228 false _let_227 false _let_226 false _let_224 false _let_223 false _let_222 false _let_221 false _let_220 false _let_219 false _let_218 false _let_217 false _let_215 false _let_214 false _let_212 false _let_210 false _let_208 false _let_205 false _let_202 false _let_199 false _let_198 false _let_195 false _let_192 false _let_191 false _let_189 false _let_187 false _let_186 false _let_183 false _let_182 false _let_179 false _let_178 false _let_176 false _let_174 false _let_173 false _let_171 false _let_168 false _let_167 false _let_164 false _let_162 false _let_159 false _let_156 false _let_155 false _let_153 false _let_151 false _let_150 false _let_149 false _let_147 false _let_146 false _let_144 false _let_143 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_129 false _let_126 false _let_124 false _let_122 false _let_120 true _let_29 false _let_119 false _let_118)) :args (_let_117 (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))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))) (forall ((T_a $$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)))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_lessequals V_b V_a T_a)) (= V_a V_b))) (forall ((T_a $$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)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((T_a $$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.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_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)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))) (forall ((T_a $$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)))) (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.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a)))) (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.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))) (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.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))) (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.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))) (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.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))) (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.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))) (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)))) (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)))) (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)))) (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)))) (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.c_HOL_Oplus__class_Oplus V_a V_c T_a) 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)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) _let_1 T_a) (not (tptp.c_lessequals V_b _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless V_b _let_1 T_a)) (not (tptp.c_lessequals V_a _let_1 T_a))))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_1 T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a)) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_lessequals _let_1 V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_lessequals V_b V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))) _let_116 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) V_x))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))) (forall ((T_a $$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))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a V_b))) (forall ((T_a $$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))) _let_115 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) _let_1)) (= V_a _let_1)))) (forall ((T_a $$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))))) (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a))))) (forall ((T_a $$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.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_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)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))) _let_114 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_b T_a) V_a))) (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_x V_z tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_z tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal)))) (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_x V_z tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_z tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal)))) (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_z V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_z V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal)))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (or (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= V_x _let_1)))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (or (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= V_y _let_1)))) (forall ((T_a $$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.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ominus__class_Ominus V_c V_d T_a) T_a)))) _let_113 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ominus__class_Ominus V_y V_b T_a))) (let ((_let_2 (tptp.c_HOL_Ominus__class_Ominus V_x V_a T_a))) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes _let_2 _let_1 T_a) (tptp.c_HOL_Otimes__class_Otimes _let_2 V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) T_a)))))) (forall ((T_a $$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)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((T_a $$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)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (not (tptp.c_HOL_Oord__class_Oless V_x_H V_y_H T_a)))) (forall ((T_a $$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)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_lessequals V_y V_x T_a))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_x V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_x T_a) (tptp.c_lessequals V_x V_x T_a))) (forall ((T_a $$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)))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))) (forall ((T_a $$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))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) V_x T_a) (not (tptp.c_lessequals V_y (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_lessequals _let_1 V_y T_a)) (not (tptp.c_lessequals _let_1 V_x T_a))))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_y V_x T_a) V_x T_a) (not (tptp.c_lessequals V_y (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_lessequals _let_1 V_y T_a)) (not (tptp.c_lessequals _let_1 V_x T_a))))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes _let_1 _let_1 T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus _let_2 _let_2 T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) T_a))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= V_y _let_1) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= V_x _let_1) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a)))) (forall ((T_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a)))) (forall ((T_a $$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.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_w V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a))) (= V_y V_z) (= V_w V_x))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_d T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a))) (= V_c V_d) (= V_a V_b))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_m T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_m T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_m T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))) _let_112 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_a_H T_a) V_b T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a_H V_b T_a) T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) V_ya T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_ya T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_ya T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_b_H $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_b_H T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b_H T_a) T_a)))) (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_xa (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_xa V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_xa V_y T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))) _let_111 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a) V_x))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_a))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (let ((_let_1 (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a))) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_2 T_a) (tptp.c_HOL_Oplus__class_Oplus _let_2 _let_1 T_a)))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_HOL_Otimes__class_Otimes V_x V_c T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes V_x V_d T_a))) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_2 T_a) (tptp.c_HOL_Oplus__class_Oplus _let_2 _let_1 T_a)))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_e T_a) V_c T_a)))) _let_110 (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.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ominus__class_Ominus V_b V_b_H T_a) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b_H T_a) T_a)))) _let_109 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (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_Otimes__class_Otimes V_x V_ya T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_ya T_a) T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_x _let_1) (tptp.c_lessequals V_x _let_1 T_a) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) _let_1 T_a) (not (tptp.c_lessequals V_b _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b _let_1 T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a) (not (tptp.c_lessequals _let_1 V_b T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals _let_1 V_b T_a) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (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.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_1 T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a))))) _let_108 (forall ((T_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone T_a) _let_1 T_a) _let_1 T_a))))) (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.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_d T_a) T_a) V_h T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_b V_d T_a) V_h T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_a V_c T_a) V_h T_a) V_d T_a) T_a)))) _let_107 (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))) (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)))) (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)))) _let_106 (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_Oplus__class_Oplus V_x V_y T_a) V_ya T_a) (tptp.c_HOL_Oplus__class_Oplus (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)))) (tptp.c_lessequals _let_77 _let_68 tptp.tc_RealDef_Oreal) (forall ((V_n $$unsorted)) (or (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_RealDef_Oreal V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (forall ((V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_c tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_b V_c tptp.tc_RealDef_Oreal))) (= V_c (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (= V_a V_b))) (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_c V_a tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_c V_b tptp.tc_RealDef_Oreal))) (= V_c (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (= V_a V_b))) _let_105 _let_104 (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Power_Opower__class_Opower _let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oplus__class_Oplus _let_2 _let_2 T_a) _let_1))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x _let_1 T_a) (tptp.c_Power_Opower__class_Opower V_y _let_1 T_a) T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Power_Opower__class_Opower V_x _let_2 T_a) (tptp.c_Power_Opower__class_Opower V_y _let_2 T_a) T_a) _let_1)) (= V_y _let_1))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Power_Opower__class_Opower V_x _let_2 T_a) (tptp.c_Power_Opower__class_Opower V_y _let_2 T_a) T_a) _let_1)) (= V_x _let_1))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_a (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) T_a) T_a))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_x _let_2 T_a) (tptp.c_Power_Opower__class_Opower V_y _let_2 T_a))) (= V_x V_y) (not (tptp.c_lessequals _let_1 V_y T_a)) (not (tptp.c_lessequals _let_1 V_x T_a)))))) (forall ((V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_b V_a tptp.tc_RealDef_Oreal) _let_1 tptp.tc_RealDef_Oreal) V_a tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_b V_a tptp.tc_RealDef_Oreal) _let_1 tptp.tc_RealDef_Oreal)))) (forall ((V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_a V_b tptp.tc_RealDef_Oreal) _let_1 tptp.tc_RealDef_Oreal) V_a tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_b V_a tptp.tc_RealDef_Oreal) _let_1 tptp.tc_RealDef_Oreal)))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_x V_y tptp.tc_RealDef_Oreal) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal)))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_x V_y tptp.tc_RealDef_Oreal) (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal)))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oinverse__class_Odivide V_y (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_x _let_1 tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x _let_1 tptp.tc_RealDef_Oreal))))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oinverse__class_Odivide V_y (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (or (tptp.c_lessequals V_x _let_1 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_x _let_1 tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a)) (not (tptp.c_lessequals _let_1 V_a T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals _let_1 V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 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))))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes _let_1 _let_1 T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oplus__class_Oplus _let_2 _let_2 T_a) T_a)))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals _let_1 V_c T_a)) (not (tptp.c_lessequals _let_1 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))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals _let_1 V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 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))))) (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.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))) (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))) (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) 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)))) (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))) (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) 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)))) (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) T_a) (= V_y _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) T_a) (= V_x _let_1)))) (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.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_x _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a))))) (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_x V_z tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_z tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal)))) (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_x V_z tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_z tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal)))) (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_z V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_z V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal)))) (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_z V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_z V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal)))) (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_xa V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a))) (= V_xa V_y))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (= V_x_H V_y_H))) _let_103 (forall ((V_y $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (or (tptp.c_lessequals V_y _let_1 tptp.tc_RealDef_Oreal) (tptp.c_lessequals _let_1 V_x tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_x V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) _let_102 _let_100 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_c (tptp.c_HOL_Oplus__class_Oplus V_a V_d T_a) T_a)))) _let_99 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) V_d T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_y (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a) T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) V_z T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a)))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (not (tptp.c_lessequals _let_1 _let_1 T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) _let_2 _let_2 (= (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_1 T_a) _let_1))))) (forall ((V_y $$unsorted) (V_z $$unsorted)) (= V_y (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_y V_z tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_b T_a) V_a))) _let_98 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a)))) (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.c_HOL_Oplus__class_Oplus V_a V_c T_a) 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)))) (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.c_HOL_Oplus__class_Oplus V_a V_c T_a) 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)))) (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.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a)))) (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.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d T_a)))) (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.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a)))) (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.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a) (not (tptp.c_lessequals V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a)))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) _let_1)) (not (tptp.c_lessequals _let_1 V_y T_a)) (not (tptp.c_lessequals _let_1 V_x T_a)) (= V_x _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) _let_1)) (not (tptp.c_lessequals _let_1 V_y T_a)) (not (tptp.c_lessequals _let_1 V_x T_a)) (= V_y _let_1)))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (or (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Otimes__class_Otimes V_x V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_x tptp.tc_RealDef_Oreal))))) (forall ((V_z $$unsorted) (V_w $$unsorted)) (or (= V_z V_w) (not (tptp.c_lessequals V_w V_z tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals V_z V_w tptp.tc_RealDef_Oreal)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((T_a $$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)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))) (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_z V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus V_z V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal)))) (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.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))) (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.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))) (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.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a)))) (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.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))) (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.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))) (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.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))) (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.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) T_a))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) _let_1)) (= V_x _let_1)))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) _let_1)) (= V_y _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals V_y_H V_x_H T_a)))) (forall ((T_a $$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)))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal) (= V_x V_y) (not (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a))) (= V_y V_z))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a))) (= V_b V_c))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a))) (= V_b V_c))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a))) (= V_b V_c))) (forall ((T_a $$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.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_y V_u T_a))) (= (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a) V_u))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_lessequals _let_1 (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_lessequals _let_1 V_b T_a)) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$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.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals _let_1 V_a T_a) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals _let_1 (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals _let_1 (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals _let_1 V_a T_a))))) (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.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d))) (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.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a))) (= V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a)))) (not (tptp.c_HOL_Oord__class_Oless _let_68 _let_93 tptp.tc_RealDef_Oreal)) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus V_y V_x T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a)))) _let_97 (forall ((T_a $$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))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_m T_a) V_m T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_m T_a)))) (forall ((T_a $$unsorted) (V_m $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Otimes__class_Otimes V_a V_m T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_m T_a)))) (forall ((V_x $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_RealDef_Oreal))) (forall ((T_a $$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)))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((T_a $$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)))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal)))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (or (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_x V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals _let_1 V_x tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals V_x _let_1 tptp.tc_RealDef_Oreal))))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (or (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_x V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_y _let_1 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals V_x _let_1 tptp.tc_RealDef_Oreal))))) _let_96 (forall ((V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (or (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_x V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_y _let_1 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals _let_1 V_y tptp.tc_RealDef_Oreal))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals V_a _let_1 T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) _let_1 T_a) (not (tptp.c_lessequals V_a _let_1 T_a))))) (tptp.c_lessequals _let_68 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))) (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals V_i V_k tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_j V_k tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals V_i V_j tptp.tc_RealDef_Oreal)))) (forall ((V_w $$unsorted)) (tptp.c_lessequals V_w V_w tptp.tc_RealDef_Oreal)) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_d $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) _let_1 T_a) (not (tptp.c_lessequals V_b _let_1 T_a)) (not (tptp.c_lessequals V_a _let_1 T_a))))) (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)))) _let_95 (forall ((V_x $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (or (= V_x _let_1) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Otimes__class_Otimes V_x V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (tptp.c_HOL_Oord__class_Oless _let_68 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal) (forall ((T_a $$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))) (forall ((V_w $$unsorted) (V_z $$unsorted)) (or (tptp.c_lessequals V_w V_z tptp.tc_RealDef_Oreal) (tptp.c_lessequals V_z V_w tptp.tc_RealDef_Oreal))) _let_92 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_x V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_w T_a) T_a) (not (tptp.c_lessequals V_w V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_w T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals _let_1 V_x T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless V_b _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_y _let_1 T_a)) (not (tptp.c_lessequals V_x _let_1 T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_y T_a)) (not (tptp.c_lessequals _let_1 V_x T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 V_w T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)) (not (tptp.c_lessequals _let_1 V_x T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_y T_a)) (not (tptp.c_lessequals V_x _let_1 T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless V_y _let_1 T_a)) (not (tptp.c_lessequals _let_1 V_x T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_w V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_w T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_x T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a _let_1 T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a _let_1 T_a) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_lessequals _let_1 V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals _let_1 V_a T_a) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 V_w) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) _let_1 T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (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_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_z T_a) T_a)) (= V_z _let_1) (= V_y _let_1)))) _let_91 (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.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) T_a) V_y T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_z T_a) T_a)) (= V_z _let_1) (= V_y _let_1)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b _let_1 T_a)) (not (tptp.c_lessequals _let_1 V_b T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals _let_1 V_b T_a)) (not (tptp.c_lessequals V_b _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_Power_Opower__class_Opower V_a V_n T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (forall ((T_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower _let_2 _let_1 T_a) _let_2) (= _let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))) (forall ((T_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower _let_2 _let_1 T_a) _let_2) (= _let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))) _let_90 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat))) (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 (= _let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (not (= (tptp.c_Power_Opower__class_Opower V_a _let_1 T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_x _let_1 T_a) (tptp.c_Power_Opower__class_Opower V_y _let_1 T_a) T_a))))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Power_Opower__class_Opower _let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oplus__class_Oplus _let_2 _let_2 T_a) T_a)))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Power_Opower__class_Opower V_x _let_2 T_a) (tptp.c_Power_Opower__class_Opower V_y _let_2 T_a) T_a) T_a) (= V_y _let_1))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Power_Opower__class_Opower V_x _let_2 T_a) (tptp.c_Power_Opower__class_Opower V_y _let_2 T_a) T_a) T_a) (= V_x _let_1))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Power_Opower__class_Opower V_x _let_1 T_a) (tptp.c_Power_Opower__class_Opower V_y _let_1 T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))) _let_89 (forall ((T_a $$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)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of _let_1 tptp.tc_nat))) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) _let_2 T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Power_Opower__class_Opower V_x _let_2 T_a) (tptp.c_Power_Opower__class_Opower V_y _let_2 T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of _let_1 T_a) V_x T_a) V_y T_a) T_a)))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_b V_x T_a) (tptp.c_Power_Opower__class_Opower V_b V_y T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a)))) (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_m T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_b V_x T_a) (tptp.c_Power_Opower__class_Opower V_b V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_N $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_a V_N T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_n V_N tptp.tc_nat)))) (forall ((T_a $$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.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Otimes__class_Otimes (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.tc_nat) T_a) T_a))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_k $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_a _let_1) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) V_k tptp.tc_nat) T_a) _let_1 T_a))))) _let_88 _let_87 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_Power_Opower__class_Opower V_a V_n T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) _let_1 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))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a)))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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_Otimes__class_Otimes V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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_Otimes__class_Otimes V_a V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a)))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a))) (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 _let_1 T_a)) (not (tptp.c_lessequals _let_1 V_b T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a))) (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 _let_1 V_b T_a)) (not (tptp.c_lessequals V_b _let_1 T_a))))) (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.c_HOL_Otimes__class_Otimes V_z V_y T_a) V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))) (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.c_HOL_Otimes__class_Otimes V_z 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)))) (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.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))) (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_Otimes__class_Otimes V_a V_c T_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 V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))) (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.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))) (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.c_HOL_Otimes__class_Otimes V_a 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.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))) (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)) (not (tptp.c_lessequals V_c _let_1 T_a)) (not (tptp.c_lessequals V_a V_b T_a))))) (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)) (not (tptp.c_lessequals _let_1 V_c T_a)) (not (tptp.c_lessequals V_b V_a T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 _let_2 T_a) (tptp.c_HOL_Oord__class_Oless V_c _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_2 V_c T_a) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 _let_2 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals _let_2 _let_1 T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) T_a) (not (tptp.c_lessequals V_a _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) V_a T_a) (not (tptp.c_lessequals _let_2 V_a T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_2 V_a T_a) (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) V_a T_a)))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_2 _let_1 T_a) (tptp.c_HOL_Oord__class_Oless V_c _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_2 V_c T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) _let_1 T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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) _let_2 T_a) (not (tptp.c_lessequals _let_1 _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a))) (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 _let_1 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 _let_2 T_a)) (not (tptp.c_lessequals _let_2 V_b T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a))) (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 _let_1 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 _let_2 V_b T_a)) (not (tptp.c_lessequals V_b _let_2 T_a)))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a))) (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 _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b _let_2 T_a)) (not (tptp.c_lessequals _let_2 V_b T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a))) (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) _let_1 T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) _let_1 T_a)) (not (tptp.c_lessequals _let_2 V_b T_a)) (not (tptp.c_lessequals V_b _let_2 T_a)))))) (forall ((T_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= _let_2 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_Power_Opower__class_Opower _let_1 _let_2 T_a) T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= _let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x _let_1 T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_N $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_N T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_n V_N tptp.tc_nat)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a))) (= V_a V_b) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_lessequals _let_1 V_b T_a)) (not (tptp.c_lessequals _let_1 V_a T_a))))) _let_86 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_Power_Opower__class_Opower V_a V_n T_a) 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 _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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) _let_2 T_a) (not (tptp.c_lessequals _let_1 _let_2 T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes _let_2 V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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) _let_1 T_a) (not (tptp.c_lessequals _let_2 _let_1 T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_2 T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) T_a)))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) T_a) (not (tptp.c_lessequals V_a _let_2 T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) V_a T_a) (not (tptp.c_lessequals _let_2 V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 V_c T_a) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 _let_2 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes _let_2 V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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_Otimes__class_Otimes V_a _let_1 T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) V_a T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a))) (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) _let_1 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 _let_2 V_b T_a)) (not (tptp.c_lessequals V_b _let_2 T_a)))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a))) (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 _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b _let_2 T_a)) (not (tptp.c_lessequals _let_2 V_b T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a))) (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 _let_1 T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals _let_2 V_b T_a)) (not (tptp.c_lessequals V_b _let_2 T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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.c_HOL_Otimes__class_Otimes _let_1 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.c_HOL_Oinverse__class_Odivide V_b V_c T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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) _let_1 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.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) T_a) (not (tptp.c_lessequals V_a _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) V_b T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) V_a T_a) (not (tptp.c_lessequals _let_2 V_a T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) T_a)))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 _let_2 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals _let_2 _let_1 T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes _let_2 V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals _let_1 _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_2 T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) V_b T_a)))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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_Otimes__class_Otimes _let_1 V_c T_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 _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= _let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x _let_1 T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (not (= _let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) _let_1 T_a) (tptp.c_HOL_Oone__class_Oone T_a))))) _let_85 _let_84 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Power_Opower__class_Opower V_x _let_1 T_a) (tptp.c_Power_Opower__class_Opower V_y _let_1 T_a) T_a) T_a)))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Power_Opower__class_Opower _let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus _let_2 _let_2 T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_x _let_1) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Power_Opower__class_Opower V_x _let_2 T_a) (tptp.c_Power_Opower__class_Opower V_y _let_2 T_a) T_a) _let_1 T_a)))))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_y _let_1) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Power_Opower__class_Opower V_x _let_2 T_a) (tptp.c_Power_Opower__class_Opower V_y _let_2 T_a) T_a) _let_1 T_a)))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless V_b _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless V_a _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless V_a _let_1 T_a))))) (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.c_HOL_Oplus__class_Oplus V_a V_c T_a) 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)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a))))) (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))) (forall ((T_a $$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)))) (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a _let_1 T_a) (tptp.c_lessequals _let_1 V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals _let_1 V_b T_a) (tptp.c_lessequals _let_1 V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a _let_1 T_a) (tptp.c_lessequals V_b _let_1 T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals _let_1 V_b T_a) (tptp.c_lessequals V_b _let_1 T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__mono1 T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__mono T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__mono T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b V_a T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b V_a T_a)))) (forall ((T_a $$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.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_r V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_r V_d T_a) T_a))) (= V_c V_d) (= V_r (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) _let_1)) (= V_x _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) _let_1)) (= V_y _let_1)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals _let_1 V_b T_a)) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b _let_1 T_a)) (not (tptp.c_lessequals V_a _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b _let_1 T_a)) (not (tptp.c_lessequals V_a _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a) T_a))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals _let_1 V_b T_a)) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b _let_1 T_a)) (not (tptp.c_lessequals V_a _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals _let_1 V_b T_a)) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a _let_1 T_a) (tptp.c_lessequals _let_1 V_a T_a) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b _let_1 T_a) (tptp.c_lessequals _let_1 V_a T_a) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a _let_1 T_a) (tptp.c_lessequals _let_1 V_b T_a) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b _let_1 T_a) (tptp.c_lessequals _let_1 V_b T_a) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals _let_1 V_c T_a)) (not (tptp.c_lessequals _let_1 V_b T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals _let_1 V_c T_a)) (not (tptp.c_lessequals _let_1 V_a T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1 T_a) (not (tptp.c_lessequals V_b _let_1 T_a)) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1 T_a) (not (tptp.c_lessequals _let_1 V_b T_a)) (not (tptp.c_lessequals V_a _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1 T_a) (not (tptp.c_lessequals V_b _let_1 T_a)) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1 T_a) (not (tptp.c_lessequals _let_1 V_b T_a)) (not (tptp.c_lessequals V_a _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1 T_a) (not (tptp.c_lessequals V_b _let_1 T_a)) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1 T_a) (not (tptp.c_lessequals _let_1 V_b T_a)) (not (tptp.c_lessequals V_a _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) _let_1 T_a) (not (tptp.c_lessequals V_b _let_1 T_a)) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes _let_1 _let_1 T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= (tptp.c_HOL_Oplus__class_Oplus _let_2 _let_2 T_a) _let_1))))) (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Otimes__class_Otimes V_m V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_n T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_m T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_v $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_v T_a))) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.class_Int_Onumber T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a)) (not (tptp.c_lessequals _let_2 _let_1 T_a)))))) (forall ((T_a $$unsorted) (V_v $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_v T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals _let_1 _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_v $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_v T_a))) (or (not (tptp.class_Ring__and__Field_Osemiring T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Otimes__class_Otimes _let_1 (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes _let_1 V_b T_a) (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) T_a))))) (forall ((T_a $$unsorted) (V_v $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_v T_a))) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Otimes__class_Otimes _let_1 (tptp.c_HOL_Ominus__class_Ominus V_b V_c T_a) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes _let_1 V_b T_a) (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_v $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_v T_a))) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) _let_1 T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) (tptp.c_HOL_Otimes__class_Otimes V_b _let_1 T_a) T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_v $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_v T_a))) (or (not (tptp.class_Ring__and__Field_Osemiring T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) _let_1 T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) (tptp.c_HOL_Otimes__class_Otimes V_b _let_1 T_a) T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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_Power_Opower__class_Opower V_a (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) _let_1)) (= V_a _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_x _let_1) (tptp.c_lessequals V_x _let_1 T_a) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x V_n T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals _let_1 (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals _let_1 (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) (tptp.c_lessequals _let_1 V_a T_a) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b _let_1 T_a) (tptp.c_lessequals _let_1 V_a T_a) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) (tptp.c_lessequals _let_1 V_b T_a) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b _let_1 T_a) (tptp.c_lessequals _let_1 V_b T_a) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_a T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_a T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_x V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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) _let_1 T_a) (not (tptp.c_lessequals V_b _let_1 T_a)) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) _let_1 T_a) (not (tptp.c_lessequals _let_1 V_b T_a)) (not (tptp.c_lessequals V_a _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) T_a) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((T_a $$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))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a _let_1 T_a) (tptp.c_lessequals _let_1 V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 V_b T_a) (tptp.c_lessequals _let_1 V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a _let_1 T_a) (tptp.c_lessequals V_b _let_1 T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 V_b T_a) (tptp.c_lessequals V_b _let_1 T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_lessequals _let_1 V_b T_a)) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b _let_1 T_a)) (not (tptp.c_lessequals V_a _let_1 T_a))))) (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.c_Power_Opower__class_Opower V_a V_m T_a) (tptp.c_Power_Opower__class_Opower 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)) (= V_m V_n))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls T_a) T_a) V_a))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls T_a) V_a T_a) V_a))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of _let_1 tptp.tc_nat))) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) _let_2 T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Power_Opower__class_Opower V_x _let_2 T_a) (tptp.c_Power_Opower__class_Opower V_y _let_2 T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of _let_1 T_a) V_x T_a) V_y T_a) T_a)))))) _let_83 (= _let_81 _let_31) _let_82 (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower _let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) T_a) _let_1)))) _let_80 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide _let_1 (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Odivide _let_1 V_a T_a) V_n T_a))))) _let_79 _let_78 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Oreal V_n tptp.tc_nat) (tptp.c_RealDef_Oreal V_m tptp.tc_nat) tptp.tc_RealDef_Oreal)))) (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Oreal V_n tptp.tc_nat) (tptp.c_RealDef_Oreal V_m tptp.tc_nat) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat)))) (forall ((V_f $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.hAPP V_f V_a))) (let ((_let_2 (tptp.hAPP V_f V_b))) (let ((_let_3 (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus _let_2 _let_1 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ominus__class_Ominus V_b V_a tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Ominus__class_Ominus _let_1 (tptp.c_HOL_Otimes__class_Otimes _let_3 V_a tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ominus__class_Ominus _let_2 (tptp.c_HOL_Otimes__class_Otimes _let_3 V_b tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 _let_1 (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.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) V_b T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a))) (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 _let_1 (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 _let_2 T_a)) (not (tptp.c_lessequals _let_2 V_b T_a)))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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_Otimes__class_Otimes _let_1 V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_c _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 V_c T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) _let_1 T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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) _let_2 T_a) (not (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes _let_2 V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) _let_1 T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) V_b T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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_Otimes__class_Otimes V_a _let_1 T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) _let_1 T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 _let_1 T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) _let_1 T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) _let_1 T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) V_a T_a))))) (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.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) 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)))) _let_76 _let_75 _let_74 (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower _let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) T_a) _let_1)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) T_a) _let_1)) (= V_a _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a)))) (tptp.c_HOL_Oord__class_Oless _let_31 _let_73 tptp.tc_nat) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat))) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Otimes__class_Otimes _let_1 V_n tptp.tc_nat) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_Power_Opower__class_Opower V_a V_n T_a) _let_1 T_a))))) (forall ((V_x $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oinverse__class_Odivide V_x (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Ominus__class_Ominus V_x _let_1 tptp.tc_RealDef_Oreal) _let_1))) _let_72 (tptp.c_HOL_Oord__class_Oless tptp.c_Transcendental_Opi _let_71 tptp.tc_RealDef_Oreal) (tptp.c_lessequals _let_19 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_Power_Opower__class_Opower _let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) T_a) T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_Power_Opower__class_Opower 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) T_a) (= V_a _let_1)))) (forall ((T_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_Power_Opower__class_Opower _let_1 (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.c_HOL_Otimes__class_Otimes _let_1 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_Power_Opower__class_Opower V_x V_n T_a))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_nat) V_n tptp.tc_nat) T_a) (tptp.c_HOL_Otimes__class_Otimes _let_1 _let_1 T_a))))) (tptp.c_HOL_Oord__class_Oless _let_65 _let_19 tptp.tc_RealDef_Oreal) _let_69 (tptp.c_lessequals _let_65 _let_19 tptp.tc_RealDef_Oreal) (forall ((T_a $$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))) (forall ((V_n $$unsorted)) (let ((_let_1 (tptp.c_Int_OBit0 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealDef_Oreal V_n tptp.tc_nat) (tptp.c_Int_Onumber__class_Onumber__of _let_1 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Oreal (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of _let_1 tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat)))) (forall ((V_n $$unsorted)) (= (tptp.c_FFT__Mirabelle_Oroot V_n) (tptp.c_Complex_Ocis (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_RealDef_Oreal) tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Oreal V_n tptp.tc_nat) tptp.tc_RealDef_Oreal)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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_Otimes__class_Otimes V_a _let_1 T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) V_a T_a)))))) _let_67 _let_66 (not (= _let_65 _let_19)) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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) _let_1 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.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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.c_HOL_Otimes__class_Otimes _let_1 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.c_HOL_Oinverse__class_Odivide V_b V_c T_a) _let_1 T_a))))) _let_64 (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.c_HOL_Otimes__class_Otimes V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide _let_1 _let_1 T_a) _let_1)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a _let_1 T_a))))) _let_63 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_x T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_y _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x _let_1 T_a))))) (forall ((T_a $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 (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 _let_1 V_r T_a))))) (forall ((T_a $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 V_r T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (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))))) (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.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a))))) (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))) (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a))))) (forall ((V_k $$unsorted) (V_l $$unsorted)) (not (= (tptp.c_Int_OBit1 V_k) (tptp.c_Int_OBit0 V_l)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a))) (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 _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a))) (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 _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 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))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a))) (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 _let_1 V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a))) (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 _let_1 V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 V_a T_a) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 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))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= _let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (= _let_1 (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) V_c T_a))))) (= tptp.c_Int_OPls _let_47) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a))) (= (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) V_b) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) T_a))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_HOL_Otimes__class_Otimes V_y V_z T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) V_z T_a)))) (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_m (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat) tptp.tc_nat))) _let_62 _let_61 (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.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_rx T_a) V_ry T_a)))) (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.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) V_rx T_a) (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_ly V_rx T_a) T_a)))) _let_60 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_n T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a)))) (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.c_Power_Opower__class_Opower (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) V_q T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower V_x V_q T_a) (tptp.c_Power_Opower__class_Opower V_y V_q T_a) T_a)))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 _let_1 (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.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) V_b T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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_Otimes__class_Otimes _let_1 V_c T_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 _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) V_x))) _let_59 _let_58 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a))))) (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.c_HOL_Otimes__class_Otimes V_z V_y T_a) V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))) (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.c_HOL_Otimes__class_Otimes V_z 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)))) (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.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))) (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_Otimes__class_Otimes V_a V_c T_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_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))) (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.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))) _let_57 (forall ((V_m $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= (tptp.c_HOL_Otimes__class_Otimes _let_1 V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes _let_1 V_n tptp.tc_nat)))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= (tptp.c_HOL_Otimes__class_Otimes V_m _let_1 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n _let_1 tptp.tc_nat)))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless V_b _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless V_b _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a _let_1 T_a))))) (forall ((T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower _let_1 V_n T_a) _let_1) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))) (forall ((T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower _let_1 V_n T_a) _let_1) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))) _let_56 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) _let_1 T_a) V_a) (= _let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_n T_a) _let_1)) (= V_a _let_1)))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) T_a)))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 V_a T_a) (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) V_a T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless _let_2 V_a T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) T_a)))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a))))) (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) T_a) T_a) V_a))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_x (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) T_a) T_a) V_x))) (forall ((V_k $$unsorted) (V_l $$unsorted)) (or (not (= (tptp.c_Int_OBit0 V_k) (tptp.c_Int_OBit0 V_l))) (= V_k V_l))) (forall ((V_k $$unsorted)) (or (not (= (tptp.c_Int_OBit0 V_k) tptp.c_Int_OPls)) (= V_k tptp.c_Int_OPls))) (forall ((V_k $$unsorted)) (not (= (tptp.c_Int_OBit1 V_k) tptp.c_Int_OPls))) _let_55 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) _let_2 T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes _let_2 V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_2 T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless _let_2 V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a _let_2 T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a) (tptp.c_HOL_Oord__class_Oless V_c _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_2 V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) _let_1 T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) _let_2 T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_2 V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b _let_2 T_a)))))) (forall ((V_l $$unsorted)) (not (= tptp.c_Int_OPls (tptp.c_Int_OBit1 V_l)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_Power_Opower__class_Opower V_a V_n T_a))) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes _let_1 V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a))))) (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_m V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat))) (= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_m V_n))) (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat))) (= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_m V_n))) (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat))) (= V_m V_n) (= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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_Otimes__class_Otimes V_a V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 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))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a)))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a)))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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_Otimes__class_Otimes V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 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))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a))))) _let_54 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 _let_2 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes _let_2 V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_2 T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) V_b T_a)))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 _let_2 T_a) (tptp.c_HOL_Oord__class_Oless V_c _let_2 T_a) (tptp.c_HOL_Oord__class_Oless _let_2 V_c T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 _let_2 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_2 _let_1 T_a)) (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a))) (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 _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b _let_2 T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_2 V_b T_a)))))) _let_53 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) _let_1 T_a) V_b) (= _let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))))) (forall ((T_a $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= _let_1 (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) V_c T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 V_c T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 _let_2 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes _let_2 V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) V_c T_a) _let_1) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b _let_2 T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_2 V_b T_a)))))) _let_52 (forall ((T_a $$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.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_c T_a) V_b) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))) _let_51 (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) _let_1)))) (forall ((T_a $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes _let_1 V_y T_a) _let_1)))) (forall ((T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes _let_1 V_b T_a) _let_1)))) (forall ((V_m $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= (tptp.c_HOL_Otimes__class_Otimes V_m _let_1 tptp.tc_nat) _let_1))) (forall ((V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= (tptp.c_HOL_Otimes__class_Otimes _let_1 V_n tptp.tc_nat) _let_1))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x _let_1 T_a) _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes _let_1 V_x T_a) _let_1)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes _let_1 V_a T_a) _let_1)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) _let_1)))) (forall ((T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (= (tptp.c_HOL_Otimes__class_Otimes _let_1 V_b T_a) _let_1)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) _let_1)))) (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)))) (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)))) (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_n V_n tptp.tc_nat))) (forall ((V_x $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_nat))) (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)))) _let_50 _let_49 _let_48 (= _let_47 tptp.c_Int_OPls) (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)) tptp.tc_RealDef_Oreal))) (or (not (= (tptp.c_HOL_Otimes__class_Otimes _let_1 V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oinverse__class_Odivide V_y V_z tptp.tc_RealDef_Oreal))) (= V_x (tptp.c_HOL_Oinverse__class_Odivide V_y (tptp.c_HOL_Otimes__class_Otimes _let_1 V_z tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_c V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a))))) (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_c V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a))))) (forall ((V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (or (tptp.c_HOL_Oord__class_Oless _let_1 V_n tptp.tc_nat) (= V_n _let_1)))) _let_46 _let_45 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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) _let_1)) (= V_b (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) V_n T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x _let_1 T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless V_y _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_x T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless V_b _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a _let_1 T_a))))) (forall ((T_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OPls T_a)))) _let_43 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))) (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= _let_1 (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1) (= V_y _let_1) (= (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_w $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a))) (= V_z _let_1) (= V_y _let_1) (= (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_Power_Opower__class_Opower V_a V_m T_a) V_n T_a)))) (forall ((T_a $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) V_c T_a) _let_1)))) (forall ((T_a $$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)))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))) (forall ((T_a $$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)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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_Power_Opower__class_Opower V_a V_n T_a) _let_1)) (= V_a _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a))) (or (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x _let_1 T_a) _let_1)))) (forall ((V_m $$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_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat)))) (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_m V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat) tptp.tc_nat)))) _let_42 (forall ((T_a $$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))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))) (forall ((T_a $$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))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))) (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (= V_m V_n))) (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_y V_x tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat) (= V_x V_y))) (forall ((T_a $$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))) (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.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) V_n T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a)))) _let_41 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_c T_a) V_a))) (forall ((T_a $$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.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_c T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_c T_a) V_a) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 _let_1 T_a) _let_2)) (= _let_2 _let_1))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= _let_1 _let_2)) (= (tptp.c_HOL_Oinverse__class_Odivide V_b _let_2 T_a) _let_1))))) _let_40 _let_39 _let_38 (forall ((T_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= _let_2 (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes _let_2 _let_1 T_a) _let_1 T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) T_a))))) _let_37 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a _let_1 T_a))))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (or (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless _let_1 V_m tptp.tc_nat))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1)) (= V_b _let_1) (= V_a _let_1)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1)) (= V_b _let_1) (= V_a _let_1)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) _let_1)) (= V_a _let_1) (= V_b _let_1)))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) _let_1)) (= V_n _let_1) (= V_m _let_1)))) (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (= (tptp.c_RealDef_Oreal V_n tptp.tc_nat) (tptp.c_RealDef_Oreal V_m tptp.tc_nat))) (= V_n V_m))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 (= _let_2 (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a))) (= _let_2 _let_1))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= _let_2 _let_1)) (= _let_2 (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a)))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 (= _let_1 _let_2)) (= _let_2 (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a)))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) T_a) V_a T_a) V_a))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of (tptp.c_Int_OBit1 tptp.c_Int_OPls) T_a) T_a) V_a))) (forall ((V_l $$unsorted)) (or (not (= tptp.c_Int_OPls (tptp.c_Int_OBit0 V_l))) (= tptp.c_Int_OPls V_l))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) _let_2 T_a) (not (tptp.c_HOL_Oord__class_Oless V_c _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes _let_2 V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_c T_a))))) (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_c _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless _let_2 V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) _let_1 T_a)))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b _let_2 T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_2 V_b T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_2 V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b _let_2 T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes _let_1 V_c T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_2 V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b _let_2 T_a)))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a _let_2 T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) V_b T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless _let_2 V_a T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 _let_2 T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) T_a)))))) (forall ((V_k $$unsorted) (V_l $$unsorted)) (or (not (= (tptp.c_Int_OBit1 V_k) (tptp.c_Int_OBit1 V_l))) (= V_k V_l))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b _let_2 T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_2 V_b T_a)))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (let ((_let_2 (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless _let_2 V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b _let_2 T_a)))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_p $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_Power_Opower__class_Opower V_x V_p T_a) V_q T_a) (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Otimes__class_Otimes V_p V_q tptp.tc_nat) T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_x T_a)))) _let_36 _let_35 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a)))) (forall ((T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_Power_Opower__class_Opower _let_1 V_n T_a) T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 _let_1 T_a)))) (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_y V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))) (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes 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)) (= V_m V_n))) (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat)))) (forall ((V_k $$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.c_HOL_Otimes__class_Otimes V_m V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat) tptp.tc_nat)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_x _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_x V_n T_a) _let_1 T_a))))) (forall ((T_a $$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))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (or (tptp.c_HOL_Oord__class_Oless _let_1 V_m tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) tptp.tc_nat))))) (forall ((V_n $$unsorted) (V_m $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (or (tptp.c_HOL_Oord__class_Oless _let_1 V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless _let_1 (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) tptp.tc_nat))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide _let_1 V_a T_a) _let_1)))) (forall ((T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) _let_1)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) _let_1)))) (forall ((T_a $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide _let_1 V_y T_a) _let_1)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) V_b T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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_Otimes__class_Otimes V_a _let_1 T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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 _let_1 T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (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.c_HOL_Otimes__class_Otimes V_a _let_1 T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) _let_1 T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b _let_1 T_a) V_a T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a) (tptp.c_HOL_Oord__class_Oless V_b _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) (tptp.c_HOL_Oord__class_Oless V_b _let_1 T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless _let_1 V_b T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (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 _let_1 T_a) (tptp.c_HOL_Oord__class_Oless _let_1 V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) _let_1 T_a))))) (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.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))) _let_34 (forall ((V_k $$unsorted) (V_l $$unsorted)) (not (= (tptp.c_Int_OBit0 V_k) (tptp.c_Int_OBit1 V_l)))) _let_33 (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b 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)))) (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.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) 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)))) (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.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) 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)))) (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.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes 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)))) (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.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes 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)))) (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) 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)))) (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) 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)))) (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b 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)))) (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b 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)))) (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) 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)))) (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))) (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) 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)))) (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.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))) (forall ((V_m $$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_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))) (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_i V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_j V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))) (forall ((V_k $$unsorted) (V_i $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_k V_i tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_j tptp.tc_nat) 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)))) (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))) (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_m V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes 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_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))) _let_32 _let_30 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat) (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat) (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat) _let_15 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat) (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat) (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat) (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat) (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat) (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat) (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat) (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat) (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat) (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat) (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat) (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat) (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat) (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat) (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat) (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat) (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat) (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat) (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat) (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat) (tptp.class_Orderings_Opreorder tptp.tc_nat) (tptp.class_Orderings_Olinorder tptp.tc_nat) (tptp.class_Orderings_Oorder tptp.tc_nat) (tptp.class_Power_Opower tptp.tc_nat) (tptp.class_Int_Onumber tptp.tc_nat) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Omult__mono tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Osemiring tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Oring tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Oidom tptp.tc_Int_Oint) (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint) (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint) (tptp.class_Orderings_Oorder tptp.tc_Int_Oint) (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint) (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint) (tptp.class_Power_Opower tptp.tc_Int_Oint) (tptp.class_Int_Onumber tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_RealDef_Oreal) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_RealDef_Oreal) (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_RealDef_Oreal) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_RealDef_Oreal) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_RealDef_Oreal) _let_14 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_RealDef_Oreal) _let_13 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_RealDef_Oreal) _let_12 _let_11 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_RealDef_Oreal) (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_RealDef_Oreal) (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_RealDef_Oreal) _let_10 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_RealDef_Oreal) (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_RealDef_Oreal) _let_9 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_RealDef_Oreal) (tptp.class_OrderedGroup_Oab__group__add tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Omult__zero tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Omult__mono tptp.tc_RealDef_Oreal) _let_8 (tptp.class_Ring__and__Field_Osemiring tptp.tc_RealDef_Oreal) (tptp.class_OrderedGroup_Omonoid__add tptp.tc_RealDef_Oreal) (tptp.class_OrderedGroup_Ogroup__add tptp.tc_RealDef_Oreal) (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal) _let_7 (tptp.class_Ring__and__Field_Oring tptp.tc_RealDef_Oreal) (tptp.class_Ring__and__Field_Oidom tptp.tc_RealDef_Oreal) (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal) (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal) _let_6 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal) _let_5 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal) _let_4 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex) (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex) (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex) (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Complex_Ocomplex) (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_Complex_Ocomplex) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex) (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex) (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Complex_Ocomplex) (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex) (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Complex_Ocomplex) (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Complex_Ocomplex) (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Complex_Ocomplex) (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Complex_Ocomplex) (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_Complex_Ocomplex) _let_3 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex) (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Complex_Ocomplex) _let_2 (tptp.class_Ring__and__Field_Osemiring tptp.tc_Complex_Ocomplex) (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Complex_Ocomplex) (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Complex_Ocomplex) (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex) (tptp.class_Ring__and__Field_Ofield tptp.tc_Complex_Ocomplex) (tptp.class_Ring__and__Field_Oring tptp.tc_Complex_Ocomplex) (tptp.class_Ring__and__Field_Oidom tptp.tc_Complex_Ocomplex) (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex) (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex) _let_1 (tptp.class_Int_Onumber tptp.tc_Complex_Ocomplex)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 7.85/8.04  )
% 7.85/8.07  % SZS output end Proof for SWV608-1
% 7.85/8.07  % cvc5---1.0.5 exiting
% 7.85/8.07  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------